num_jobs
int64 2
100
| num_machines
int64 2
50
| prompt_jobs_first
stringlengths 516
37.9k
| instruction
stringclasses 10
values | prompt_machines_first
stringlengths 496
43.1k
| input
stringlengths 2.57k
37.9k
⌀ | output
stringlengths 267
131k
| path
stringlengths 0
15
| matrix
stringlengths 3.65k
56.2k
⌀ |
|---|---|---|---|---|---|---|---|---|
7 | 2 |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 300 mins.
Operation 1 on Machine 1 duration 245 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 142 mins.
Operation 1 on Machine 0 duration 166 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 343 mins.
Operation 1 on Machine 1 duration 116 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 169 mins.
Operation 1 on Machine 0 duration 186 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 324 mins.
Operation 1 on Machine 1 duration 100 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 161 mins.
Operation 1 on Machine 0 duration 179 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 218 mins.
Operation 1 on Machine 1 duration 334 mins.
| null |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 300 mins.
Job 2 Operation 0 duration 343 mins.
Job 4 Operation 0 duration 324 mins.
Job 6 Operation 0 duration 218 mins.
Job 1 Operation 1 duration 166 mins.
Job 3 Operation 1 duration 186 mins.
Job 5 Operation 1 duration 179 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 142 mins.
Job 3 Operation 0 duration 169 mins.
Job 5 Operation 0 duration 161 mins.
Job 0 Operation 1 duration 245 mins.
Job 2 Operation 1 duration 116 mins.
Job 4 Operation 1 duration 100 mins.
Job 6 Operation 1 duration 334 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 324 -> 324
Job 1 Operation 0 on Machine 1 : 0 + 142 -> 142
Job 3 Operation 0 on Machine 1 : 142 + 169 -> 311
Job 0 Operation 0 on Machine 0 : 324 + 300 -> 624
Job 4 Operation 1 on Machine 1 : 324 + 100 -> 424
Job 5 Operation 0 on Machine 1 : 424 + 161 -> 585
Job 1 Operation 1 on Machine 0 : 624 + 166 -> 790
Job 0 Operation 1 on Machine 1 : 624 + 245 -> 869
Job 5 Operation 1 on Machine 0 : 790 + 179 -> 969
Job 6 Operation 0 on Machine 0 : 969 + 218 -> 1187
Job 2 Operation 0 on Machine 0 : 1187 + 343 -> 1530
Job 6 Operation 1 on Machine 1 : 1187 + 334 -> 1521
Job 3 Operation 1 on Machine 0 : 1530 + 186 -> 1716
Job 2 Operation 1 on Machine 1 : 1530 + 116 -> 1646
Makespan: 1716.0, as it is the maximum end completion time of Operation 1
| null |
|
6 | 6 |
Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 22 mins.
Operation 1 on Machine 2 duration 2 mins.
Operation 2 on Machine 0 duration 68 mins.
Operation 3 on Machine 5 duration 37 mins.
Operation 4 on Machine 4 duration 24 mins.
Operation 5 on Machine 1 duration 42 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 16 mins.
Operation 1 on Machine 4 duration 30 mins.
Operation 2 on Machine 3 duration 1 mins.
Operation 3 on Machine 5 duration 27 mins.
Operation 4 on Machine 0 duration 71 mins.
Operation 5 on Machine 2 duration 15 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 58 mins.
Operation 1 on Machine 4 duration 25 mins.
Operation 2 on Machine 3 duration 61 mins.
Operation 3 on Machine 1 duration 41 mins.
Operation 4 on Machine 2 duration 60 mins.
Operation 5 on Machine 0 duration 40 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 30 mins.
Operation 1 on Machine 2 duration 52 mins.
Operation 2 on Machine 5 duration 40 mins.
Operation 3 on Machine 0 duration 54 mins.
Operation 4 on Machine 1 duration 65 mins.
Operation 5 on Machine 3 duration 8 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 35 mins.
Operation 1 on Machine 2 duration 28 mins.
Operation 2 on Machine 4 duration 7 mins.
Operation 3 on Machine 3 duration 30 mins.
Operation 4 on Machine 0 duration 13 mins.
Operation 5 on Machine 1 duration 39 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 38 mins.
Operation 1 on Machine 3 duration 55 mins.
Operation 2 on Machine 4 duration 24 mins.
Operation 3 on Machine 1 duration 1 mins.
Operation 4 on Machine 2 duration 19 mins.
Operation 5 on Machine 5 duration 72 mins.
| null |
Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 38 mins.
Job 0 Operation 2 duration 68 mins.
Job 3 Operation 3 duration 54 mins.
Job 1 Operation 4 duration 71 mins.
Job 4 Operation 4 duration 13 mins.
Job 2 Operation 5 duration 40 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 16 mins.
Job 2 Operation 3 duration 41 mins.
Job 5 Operation 3 duration 1 mins.
Job 3 Operation 4 duration 65 mins.
Job 0 Operation 5 duration 42 mins.
Job 4 Operation 5 duration 39 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 2 mins.
Job 3 Operation 1 duration 52 mins.
Job 4 Operation 1 duration 28 mins.
Job 2 Operation 4 duration 60 mins.
Job 5 Operation 4 duration 19 mins.
Job 1 Operation 5 duration 15 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 22 mins.
Job 5 Operation 1 duration 55 mins.
Job 1 Operation 2 duration 1 mins.
Job 2 Operation 2 duration 61 mins.
Job 4 Operation 3 duration 30 mins.
Job 3 Operation 5 duration 8 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 30 mins.
Job 1 Operation 1 duration 30 mins.
Job 2 Operation 1 duration 25 mins.
Job 4 Operation 2 duration 7 mins.
Job 5 Operation 2 duration 24 mins.
Job 0 Operation 4 duration 24 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 58 mins.
Job 4 Operation 0 duration 35 mins.
Job 3 Operation 2 duration 40 mins.
Job 0 Operation 3 duration 37 mins.
Job 1 Operation 3 duration 27 mins.
Job 5 Operation 5 duration 72 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 38 -> 38
Job 1 Operation 0 on Machine 1 : 0 + 16 -> 16
Job 0 Operation 0 on Machine 3 : 0 + 22 -> 22
Job 3 Operation 0 on Machine 4 : 0 + 30 -> 30
Job 4 Operation 0 on Machine 5 : 0 + 35 -> 35
Job 0 Operation 1 on Machine 2 : 22 + 2 -> 24
Job 1 Operation 1 on Machine 4 : 30 + 30 -> 60
Job 4 Operation 1 on Machine 2 : 35 + 28 -> 63
Job 2 Operation 0 on Machine 5 : 35 + 58 -> 93
Job 0 Operation 2 on Machine 0 : 38 + 68 -> 106
Job 5 Operation 1 on Machine 3 : 38 + 55 -> 93
Job 3 Operation 1 on Machine 2 : 63 + 52 -> 115
Job 4 Operation 2 on Machine 4 : 63 + 7 -> 70
Job 4 Operation 3 on Machine 3 : 93 + 30 -> 123
Job 2 Operation 1 on Machine 4 : 93 + 25 -> 118
Job 3 Operation 2 on Machine 5 : 115 + 40 -> 155
Job 5 Operation 2 on Machine 4 : 118 + 24 -> 142
Job 4 Operation 4 on Machine 0 : 123 + 13 -> 136
Job 2 Operation 2 on Machine 3 : 123 + 61 -> 184
Job 5 Operation 3 on Machine 1 : 142 + 1 -> 143
Job 4 Operation 5 on Machine 1 : 143 + 39 -> 182
Job 5 Operation 4 on Machine 2 : 143 + 19 -> 162
Job 3 Operation 3 on Machine 0 : 155 + 54 -> 209
Job 2 Operation 3 on Machine 1 : 184 + 41 -> 225
Job 1 Operation 2 on Machine 3 : 184 + 1 -> 185
Job 1 Operation 3 on Machine 5 : 185 + 27 -> 212
Job 1 Operation 4 on Machine 0 : 212 + 71 -> 283
Job 0 Operation 3 on Machine 5 : 212 + 37 -> 249
Job 3 Operation 4 on Machine 1 : 225 + 65 -> 290
Job 2 Operation 4 on Machine 2 : 225 + 60 -> 285
Job 0 Operation 4 on Machine 4 : 249 + 24 -> 273
Job 5 Operation 5 on Machine 5 : 249 + 72 -> 321
Job 2 Operation 5 on Machine 0 : 285 + 40 -> 325
Job 1 Operation 5 on Machine 2 : 285 + 15 -> 300
Job 0 Operation 5 on Machine 1 : 290 + 42 -> 332
Job 3 Operation 5 on Machine 3 : 290 + 8 -> 298
Makespan: 332.0, as it is the maximum end completion time of Operation 5
| null |
|
9 | 9 |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 20 mins.
Operation 1 on Machine 0 duration 62 mins.
Operation 2 on Machine 7 duration 130 mins.
Operation 3 on Machine 5 duration 54 mins.
Operation 4 on Machine 1 duration 149 mins.
Operation 5 on Machine 8 duration 52 mins.
Operation 6 on Machine 6 duration 65 mins.
Operation 7 on Machine 3 duration 145 mins.
Operation 8 on Machine 4 duration 109 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 37 mins.
Operation 1 on Machine 0 duration 137 mins.
Operation 2 on Machine 1 duration 113 mins.
Operation 3 on Machine 4 duration 40 mins.
Operation 4 on Machine 8 duration 16 mins.
Operation 5 on Machine 7 duration 51 mins.
Operation 6 on Machine 5 duration 3 mins.
Operation 7 on Machine 2 duration 69 mins.
Operation 8 on Machine 3 duration 76 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 8 duration 13 mins.
Operation 1 on Machine 6 duration 80 mins.
Operation 2 on Machine 5 duration 44 mins.
Operation 3 on Machine 3 duration 128 mins.
Operation 4 on Machine 4 duration 44 mins.
Operation 5 on Machine 0 duration 60 mins.
Operation 6 on Machine 2 duration 17 mins.
Operation 7 on Machine 1 duration 3 mins.
Operation 8 on Machine 7 duration 67 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 7 duration 16 mins.
Operation 1 on Machine 8 duration 51 mins.
Operation 2 on Machine 3 duration 53 mins.
Operation 3 on Machine 6 duration 27 mins.
Operation 4 on Machine 5 duration 65 mins.
Operation 5 on Machine 1 duration 21 mins.
Operation 6 on Machine 2 duration 124 mins.
Operation 7 on Machine 4 duration 93 mins.
Operation 8 on Machine 0 duration 139 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 45 mins.
Operation 1 on Machine 0 duration 130 mins.
Operation 2 on Machine 7 duration 112 mins.
Operation 3 on Machine 2 duration 26 mins.
Operation 4 on Machine 6 duration 45 mins.
Operation 5 on Machine 8 duration 2 mins.
Operation 6 on Machine 4 duration 40 mins.
Operation 7 on Machine 1 duration 1 mins.
Operation 8 on Machine 3 duration 22 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 109 mins.
Operation 1 on Machine 4 duration 32 mins.
Operation 2 on Machine 5 duration 95 mins.
Operation 3 on Machine 7 duration 133 mins.
Operation 4 on Machine 2 duration 8 mins.
Operation 5 on Machine 3 duration 34 mins.
Operation 6 on Machine 8 duration 55 mins.
Operation 7 on Machine 1 duration 77 mins.
Operation 8 on Machine 0 duration 55 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 53 mins.
Operation 1 on Machine 2 duration 117 mins.
Operation 2 on Machine 5 duration 65 mins.
Operation 3 on Machine 8 duration 77 mins.
Operation 4 on Machine 6 duration 84 mins.
Operation 5 on Machine 0 duration 55 mins.
Operation 6 on Machine 1 duration 126 mins.
Operation 7 on Machine 4 duration 27 mins.
Operation 8 on Machine 3 duration 62 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 29 mins.
Operation 1 on Machine 0 duration 112 mins.
Operation 2 on Machine 1 duration 141 mins.
Operation 3 on Machine 6 duration 71 mins.
Operation 4 on Machine 7 duration 115 mins.
Operation 5 on Machine 8 duration 34 mins.
Operation 6 on Machine 3 duration 58 mins.
Operation 7 on Machine 5 duration 29 mins.
Operation 8 on Machine 2 duration 81 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 88 mins.
Operation 1 on Machine 5 duration 70 mins.
Operation 2 on Machine 6 duration 113 mins.
Operation 3 on Machine 8 duration 122 mins.
Operation 4 on Machine 7 duration 128 mins.
Operation 5 on Machine 1 duration 69 mins.
Operation 6 on Machine 3 duration 27 mins.
Operation 7 on Machine 4 duration 15 mins.
Operation 8 on Machine 0 duration 82 mins.
| null |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 62 mins.
Job 1 Operation 1 duration 137 mins.
Job 4 Operation 1 duration 130 mins.
Job 7 Operation 1 duration 112 mins.
Job 2 Operation 5 duration 60 mins.
Job 6 Operation 5 duration 55 mins.
Job 3 Operation 8 duration 139 mins.
Job 5 Operation 8 duration 55 mins.
Job 8 Operation 8 duration 82 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 2 duration 113 mins.
Job 7 Operation 2 duration 141 mins.
Job 0 Operation 4 duration 149 mins.
Job 3 Operation 5 duration 21 mins.
Job 8 Operation 5 duration 69 mins.
Job 6 Operation 6 duration 126 mins.
Job 2 Operation 7 duration 3 mins.
Job 4 Operation 7 duration 1 mins.
Job 5 Operation 7 duration 77 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 20 mins.
Job 8 Operation 0 duration 88 mins.
Job 6 Operation 1 duration 117 mins.
Job 4 Operation 3 duration 26 mins.
Job 5 Operation 4 duration 8 mins.
Job 2 Operation 6 duration 17 mins.
Job 3 Operation 6 duration 124 mins.
Job 1 Operation 7 duration 69 mins.
Job 7 Operation 8 duration 81 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 2 duration 53 mins.
Job 2 Operation 3 duration 128 mins.
Job 5 Operation 5 duration 34 mins.
Job 7 Operation 6 duration 58 mins.
Job 8 Operation 6 duration 27 mins.
Job 0 Operation 7 duration 145 mins.
Job 1 Operation 8 duration 76 mins.
Job 4 Operation 8 duration 22 mins.
Job 6 Operation 8 duration 62 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 0 duration 29 mins.
Job 5 Operation 1 duration 32 mins.
Job 1 Operation 3 duration 40 mins.
Job 2 Operation 4 duration 44 mins.
Job 4 Operation 6 duration 40 mins.
Job 3 Operation 7 duration 93 mins.
Job 6 Operation 7 duration 27 mins.
Job 8 Operation 7 duration 15 mins.
Job 0 Operation 8 duration 109 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 0 duration 45 mins.
Job 8 Operation 1 duration 70 mins.
Job 2 Operation 2 duration 44 mins.
Job 5 Operation 2 duration 95 mins.
Job 6 Operation 2 duration 65 mins.
Job 0 Operation 3 duration 54 mins.
Job 3 Operation 4 duration 65 mins.
Job 1 Operation 6 duration 3 mins.
Job 7 Operation 7 duration 29 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 37 mins.
Job 5 Operation 0 duration 109 mins.
Job 2 Operation 1 duration 80 mins.
Job 8 Operation 2 duration 113 mins.
Job 3 Operation 3 duration 27 mins.
Job 7 Operation 3 duration 71 mins.
Job 4 Operation 4 duration 45 mins.
Job 6 Operation 4 duration 84 mins.
Job 0 Operation 6 duration 65 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 0 duration 16 mins.
Job 6 Operation 0 duration 53 mins.
Job 0 Operation 2 duration 130 mins.
Job 4 Operation 2 duration 112 mins.
Job 5 Operation 3 duration 133 mins.
Job 7 Operation 4 duration 115 mins.
Job 8 Operation 4 duration 128 mins.
Job 1 Operation 5 duration 51 mins.
Job 2 Operation 8 duration 67 mins.
Machine 8 is used for the following Operations:
Job 2 Operation 0 duration 13 mins.
Job 3 Operation 1 duration 51 mins.
Job 6 Operation 3 duration 77 mins.
Job 8 Operation 3 duration 122 mins.
Job 1 Operation 4 duration 16 mins.
Job 0 Operation 5 duration 52 mins.
Job 4 Operation 5 duration 2 mins.
Job 7 Operation 5 duration 34 mins.
Job 5 Operation 6 duration 55 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 2 : 0 + 20 -> 20
Job 7 Operation 0 on Machine 4 : 0 + 29 -> 29
Job 4 Operation 0 on Machine 5 : 0 + 45 -> 45
Job 5 Operation 0 on Machine 6 : 0 + 109 -> 109
Job 3 Operation 0 on Machine 7 : 0 + 16 -> 16
Job 2 Operation 0 on Machine 8 : 0 + 13 -> 13
Job 6 Operation 0 on Machine 7 : 16 + 53 -> 69
Job 3 Operation 1 on Machine 8 : 16 + 51 -> 67
Job 0 Operation 1 on Machine 0 : 20 + 62 -> 82
Job 8 Operation 0 on Machine 2 : 20 + 88 -> 108
Job 3 Operation 2 on Machine 3 : 67 + 53 -> 120
Job 7 Operation 1 on Machine 0 : 82 + 112 -> 194
Job 0 Operation 2 on Machine 7 : 82 + 130 -> 212
Job 6 Operation 1 on Machine 2 : 108 + 117 -> 225
Job 8 Operation 1 on Machine 5 : 108 + 70 -> 178
Job 5 Operation 1 on Machine 4 : 109 + 32 -> 141
Job 1 Operation 0 on Machine 6 : 109 + 37 -> 146
Job 3 Operation 3 on Machine 6 : 146 + 27 -> 173
Job 5 Operation 2 on Machine 5 : 178 + 95 -> 273
Job 8 Operation 2 on Machine 6 : 178 + 113 -> 291
Job 4 Operation 1 on Machine 0 : 194 + 130 -> 324
Job 7 Operation 2 on Machine 1 : 194 + 141 -> 335
Job 0 Operation 3 on Machine 5 : 273 + 54 -> 327
Job 5 Operation 3 on Machine 7 : 273 + 133 -> 406
Job 2 Operation 1 on Machine 6 : 291 + 80 -> 371
Job 8 Operation 3 on Machine 8 : 291 + 122 -> 413
Job 1 Operation 1 on Machine 0 : 324 + 137 -> 461
Job 6 Operation 2 on Machine 5 : 327 + 65 -> 392
Job 0 Operation 4 on Machine 1 : 335 + 149 -> 484
Job 7 Operation 3 on Machine 6 : 371 + 71 -> 442
Job 2 Operation 2 on Machine 5 : 392 + 44 -> 436
Job 5 Operation 4 on Machine 2 : 406 + 8 -> 414
Job 6 Operation 3 on Machine 8 : 413 + 77 -> 490
Job 2 Operation 3 on Machine 3 : 436 + 128 -> 564
Job 3 Operation 4 on Machine 5 : 436 + 65 -> 501
Job 7 Operation 4 on Machine 7 : 442 + 115 -> 557
Job 6 Operation 4 on Machine 6 : 490 + 84 -> 574
Job 0 Operation 5 on Machine 8 : 490 + 52 -> 542
Job 3 Operation 5 on Machine 1 : 501 + 21 -> 522
Job 1 Operation 2 on Machine 1 : 522 + 113 -> 635
Job 3 Operation 6 on Machine 2 : 522 + 124 -> 646
Job 8 Operation 4 on Machine 7 : 557 + 128 -> 685
Job 7 Operation 5 on Machine 8 : 557 + 34 -> 591
Job 5 Operation 5 on Machine 3 : 564 + 34 -> 598
Job 2 Operation 4 on Machine 4 : 564 + 44 -> 608
Job 6 Operation 5 on Machine 0 : 574 + 55 -> 629
Job 0 Operation 6 on Machine 6 : 574 + 65 -> 639
Job 7 Operation 6 on Machine 3 : 598 + 58 -> 656
Job 5 Operation 6 on Machine 8 : 598 + 55 -> 653
Job 2 Operation 5 on Machine 0 : 629 + 60 -> 689
Job 6 Operation 6 on Machine 1 : 635 + 126 -> 761
Job 3 Operation 7 on Machine 4 : 646 + 93 -> 739
Job 0 Operation 7 on Machine 3 : 656 + 145 -> 801
Job 4 Operation 2 on Machine 7 : 685 + 112 -> 797
Job 2 Operation 6 on Machine 2 : 689 + 17 -> 706
Job 3 Operation 8 on Machine 0 : 739 + 139 -> 878
Job 1 Operation 3 on Machine 4 : 739 + 40 -> 779
Job 8 Operation 5 on Machine 1 : 761 + 69 -> 830
Job 6 Operation 7 on Machine 4 : 779 + 27 -> 806
Job 1 Operation 4 on Machine 8 : 779 + 16 -> 795
Job 4 Operation 3 on Machine 2 : 797 + 26 -> 823
Job 1 Operation 5 on Machine 7 : 797 + 51 -> 848
Job 4 Operation 4 on Machine 6 : 823 + 45 -> 868
Job 2 Operation 7 on Machine 1 : 830 + 3 -> 833
Job 8 Operation 6 on Machine 3 : 830 + 27 -> 857
Job 5 Operation 7 on Machine 1 : 833 + 77 -> 910
Job 1 Operation 6 on Machine 5 : 848 + 3 -> 851
Job 2 Operation 8 on Machine 7 : 848 + 67 -> 915
Job 1 Operation 7 on Machine 2 : 851 + 69 -> 920
Job 7 Operation 7 on Machine 5 : 851 + 29 -> 880
Job 6 Operation 8 on Machine 3 : 857 + 62 -> 919
Job 8 Operation 7 on Machine 4 : 857 + 15 -> 872
Job 4 Operation 5 on Machine 8 : 868 + 2 -> 870
Job 4 Operation 6 on Machine 4 : 872 + 40 -> 912
Job 8 Operation 8 on Machine 0 : 878 + 82 -> 960
Job 4 Operation 7 on Machine 1 : 912 + 1 -> 913
Job 0 Operation 8 on Machine 4 : 912 + 109 -> 1021
Job 4 Operation 8 on Machine 3 : 919 + 22 -> 941
Job 7 Operation 8 on Machine 2 : 920 + 81 -> 1001
Job 1 Operation 8 on Machine 3 : 941 + 76 -> 1017
Job 5 Operation 8 on Machine 0 : 960 + 55 -> 1015
Makespan: 1021.0, as it is the maximum end completion time of Operation 8
| null |
|
20 | 15 |
Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 8 duration 43 mins.
Operation 1 on Machine 0 duration 35 mins.
Operation 2 on Machine 10 duration 16 mins.
Operation 3 on Machine 7 duration 57 mins.
Operation 4 on Machine 12 duration 161 mins.
Operation 5 on Machine 6 duration 92 mins.
Operation 6 on Machine 1 duration 136 mins.
Operation 7 on Machine 11 duration 184 mins.
Operation 8 on Machine 3 duration 48 mins.
Operation 9 on Machine 2 duration 115 mins.
Operation 10 on Machine 13 duration 125 mins.
Operation 11 on Machine 9 duration 116 mins.
Operation 12 on Machine 4 duration 102 mins.
Operation 13 on Machine 5 duration 134 mins.
Operation 14 on Machine 14 duration 187 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 175 mins.
Operation 1 on Machine 1 duration 37 mins.
Operation 2 on Machine 8 duration 140 mins.
Operation 3 on Machine 9 duration 82 mins.
Operation 4 on Machine 4 duration 65 mins.
Operation 5 on Machine 11 duration 40 mins.
Operation 6 on Machine 14 duration 112 mins.
Operation 7 on Machine 7 duration 37 mins.
Operation 8 on Machine 2 duration 93 mins.
Operation 9 on Machine 5 duration 145 mins.
Operation 10 on Machine 0 duration 102 mins.
Operation 11 on Machine 10 duration 150 mins.
Operation 12 on Machine 13 duration 198 mins.
Operation 13 on Machine 3 duration 141 mins.
Operation 14 on Machine 12 duration 87 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 135 mins.
Operation 1 on Machine 12 duration 31 mins.
Operation 2 on Machine 8 duration 24 mins.
Operation 3 on Machine 1 duration 184 mins.
Operation 4 on Machine 9 duration 2 mins.
Operation 5 on Machine 11 duration 116 mins.
Operation 6 on Machine 14 duration 64 mins.
Operation 7 on Machine 0 duration 7 mins.
Operation 8 on Machine 5 duration 7 mins.
Operation 9 on Machine 10 duration 177 mins.
Operation 10 on Machine 13 duration 164 mins.
Operation 11 on Machine 2 duration 179 mins.
Operation 12 on Machine 7 duration 128 mins.
Operation 13 on Machine 4 duration 179 mins.
Operation 14 on Machine 3 duration 59 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 140 mins.
Operation 1 on Machine 12 duration 196 mins.
Operation 2 on Machine 14 duration 93 mins.
Operation 3 on Machine 0 duration 45 mins.
Operation 4 on Machine 13 duration 58 mins.
Operation 5 on Machine 10 duration 36 mins.
Operation 6 on Machine 8 duration 124 mins.
Operation 7 on Machine 9 duration 79 mins.
Operation 8 on Machine 2 duration 16 mins.
Operation 9 on Machine 4 duration 164 mins.
Operation 10 on Machine 5 duration 50 mins.
Operation 11 on Machine 1 duration 184 mins.
Operation 12 on Machine 3 duration 135 mins.
Operation 13 on Machine 11 duration 135 mins.
Operation 14 on Machine 7 duration 58 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 8 duration 37 mins.
Operation 1 on Machine 10 duration 40 mins.
Operation 2 on Machine 11 duration 16 mins.
Operation 3 on Machine 0 duration 150 mins.
Operation 4 on Machine 6 duration 79 mins.
Operation 5 on Machine 2 duration 131 mins.
Operation 6 on Machine 12 duration 188 mins.
Operation 7 on Machine 5 duration 156 mins.
Operation 8 on Machine 14 duration 134 mins.
Operation 9 on Machine 4 duration 195 mins.
Operation 10 on Machine 7 duration 21 mins.
Operation 11 on Machine 1 duration 28 mins.
Operation 12 on Machine 3 duration 137 mins.
Operation 13 on Machine 9 duration 81 mins.
Operation 14 on Machine 13 duration 67 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 83 mins.
Operation 1 on Machine 5 duration 87 mins.
Operation 2 on Machine 1 duration 68 mins.
Operation 3 on Machine 11 duration 165 mins.
Operation 4 on Machine 4 duration 99 mins.
Operation 5 on Machine 13 duration 165 mins.
Operation 6 on Machine 2 duration 76 mins.
Operation 7 on Machine 12 duration 113 mins.
Operation 8 on Machine 8 duration 135 mins.
Operation 9 on Machine 7 duration 81 mins.
Operation 10 on Machine 9 duration 150 mins.
Operation 11 on Machine 10 duration 54 mins.
Operation 12 on Machine 3 duration 148 mins.
Operation 13 on Machine 14 duration 24 mins.
Operation 14 on Machine 0 duration 15 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 18 mins.
Operation 1 on Machine 2 duration 53 mins.
Operation 2 on Machine 10 duration 56 mins.
Operation 3 on Machine 11 duration 12 mins.
Operation 4 on Machine 3 duration 7 mins.
Operation 5 on Machine 8 duration 43 mins.
Operation 6 on Machine 9 duration 27 mins.
Operation 7 on Machine 13 duration 122 mins.
Operation 8 on Machine 14 duration 146 mins.
Operation 9 on Machine 1 duration 18 mins.
Operation 10 on Machine 6 duration 80 mins.
Operation 11 on Machine 7 duration 68 mins.
Operation 12 on Machine 4 duration 7 mins.
Operation 13 on Machine 12 duration 62 mins.
Operation 14 on Machine 5 duration 197 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 59 mins.
Operation 1 on Machine 10 duration 27 mins.
Operation 2 on Machine 0 duration 169 mins.
Operation 3 on Machine 2 duration 58 mins.
Operation 4 on Machine 7 duration 118 mins.
Operation 5 on Machine 8 duration 173 mins.
Operation 6 on Machine 6 duration 82 mins.
Operation 7 on Machine 11 duration 177 mins.
Operation 8 on Machine 12 duration 49 mins.
Operation 9 on Machine 9 duration 20 mins.
Operation 10 on Machine 13 duration 139 mins.
Operation 11 on Machine 3 duration 136 mins.
Operation 12 on Machine 4 duration 170 mins.
Operation 13 on Machine 14 duration 42 mins.
Operation 14 on Machine 5 duration 44 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 13 duration 136 mins.
Operation 1 on Machine 5 duration 122 mins.
Operation 2 on Machine 1 duration 179 mins.
Operation 3 on Machine 4 duration 166 mins.
Operation 4 on Machine 6 duration 174 mins.
Operation 5 on Machine 12 duration 142 mins.
Operation 6 on Machine 14 duration 62 mins.
Operation 7 on Machine 7 duration 157 mins.
Operation 8 on Machine 8 duration 89 mins.
Operation 9 on Machine 2 duration 121 mins.
Operation 10 on Machine 0 duration 163 mins.
Operation 11 on Machine 10 duration 120 mins.
Operation 12 on Machine 9 duration 44 mins.
Operation 13 on Machine 11 duration 177 mins.
Operation 14 on Machine 3 duration 32 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 7 duration 83 mins.
Operation 1 on Machine 9 duration 184 mins.
Operation 2 on Machine 4 duration 116 mins.
Operation 3 on Machine 5 duration 142 mins.
Operation 4 on Machine 14 duration 132 mins.
Operation 5 on Machine 13 duration 183 mins.
Operation 6 on Machine 6 duration 62 mins.
Operation 7 on Machine 3 duration 131 mins.
Operation 8 on Machine 8 duration 43 mins.
Operation 9 on Machine 0 duration 38 mins.
Operation 10 on Machine 12 duration 104 mins.
Operation 11 on Machine 10 duration 121 mins.
Operation 12 on Machine 11 duration 136 mins.
Operation 13 on Machine 1 duration 116 mins.
Operation 14 on Machine 2 duration 101 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 8 duration 90 mins.
Operation 1 on Machine 3 duration 122 mins.
Operation 2 on Machine 14 duration 20 mins.
Operation 3 on Machine 5 duration 78 mins.
Operation 4 on Machine 11 duration 95 mins.
Operation 5 on Machine 0 duration 89 mins.
Operation 6 on Machine 1 duration 48 mins.
Operation 7 on Machine 4 duration 72 mins.
Operation 8 on Machine 9 duration 160 mins.
Operation 9 on Machine 2 duration 79 mins.
Operation 10 on Machine 7 duration 107 mins.
Operation 11 on Machine 13 duration 10 mins.
Operation 12 on Machine 12 duration 91 mins.
Operation 13 on Machine 6 duration 133 mins.
Operation 14 on Machine 10 duration 78 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 12 duration 152 mins.
Operation 1 on Machine 9 duration 3 mins.
Operation 2 on Machine 0 duration 146 mins.
Operation 3 on Machine 10 duration 145 mins.
Operation 4 on Machine 14 duration 31 mins.
Operation 5 on Machine 11 duration 1 mins.
Operation 6 on Machine 1 duration 187 mins.
Operation 7 on Machine 8 duration 76 mins.
Operation 8 on Machine 6 duration 100 mins.
Operation 9 on Machine 3 duration 133 mins.
Operation 10 on Machine 5 duration 91 mins.
Operation 11 on Machine 7 duration 146 mins.
Operation 12 on Machine 2 duration 113 mins.
Operation 13 on Machine 13 duration 136 mins.
Operation 14 on Machine 4 duration 154 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 7 duration 41 mins.
Operation 1 on Machine 1 duration 191 mins.
Operation 2 on Machine 2 duration 189 mins.
Operation 3 on Machine 8 duration 113 mins.
Operation 4 on Machine 0 duration 180 mins.
Operation 5 on Machine 5 duration 26 mins.
Operation 6 on Machine 12 duration 38 mins.
Operation 7 on Machine 10 duration 181 mins.
Operation 8 on Machine 9 duration 83 mins.
Operation 9 on Machine 13 duration 183 mins.
Operation 10 on Machine 6 duration 21 mins.
Operation 11 on Machine 3 duration 31 mins.
Operation 12 on Machine 11 duration 137 mins.
Operation 13 on Machine 4 duration 95 mins.
Operation 14 on Machine 14 duration 171 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 3 duration 127 mins.
Operation 1 on Machine 14 duration 137 mins.
Operation 2 on Machine 12 duration 193 mins.
Operation 3 on Machine 0 duration 58 mins.
Operation 4 on Machine 11 duration 111 mins.
Operation 5 on Machine 6 duration 18 mins.
Operation 6 on Machine 13 duration 1 mins.
Operation 7 on Machine 10 duration 181 mins.
Operation 8 on Machine 4 duration 152 mins.
Operation 9 on Machine 8 duration 30 mins.
Operation 10 on Machine 7 duration 7 mins.
Operation 11 on Machine 2 duration 10 mins.
Operation 12 on Machine 9 duration 108 mins.
Operation 13 on Machine 5 duration 85 mins.
Operation 14 on Machine 1 duration 74 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 9 duration 176 mins.
Operation 1 on Machine 10 duration 46 mins.
Operation 2 on Machine 1 duration 158 mins.
Operation 3 on Machine 4 duration 198 mins.
Operation 4 on Machine 11 duration 8 mins.
Operation 5 on Machine 6 duration 133 mins.
Operation 6 on Machine 5 duration 138 mins.
Operation 7 on Machine 2 duration 18 mins.
Operation 8 on Machine 7 duration 61 mins.
Operation 9 on Machine 0 duration 5 mins.
Operation 10 on Machine 3 duration 132 mins.
Operation 11 on Machine 12 duration 160 mins.
Operation 12 on Machine 14 duration 79 mins.
Operation 13 on Machine 8 duration 16 mins.
Operation 14 on Machine 13 duration 65 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 2 duration 187 mins.
Operation 1 on Machine 0 duration 20 mins.
Operation 2 on Machine 4 duration 196 mins.
Operation 3 on Machine 9 duration 126 mins.
Operation 4 on Machine 5 duration 54 mins.
Operation 5 on Machine 7 duration 125 mins.
Operation 6 on Machine 10 duration 69 mins.
Operation 7 on Machine 3 duration 180 mins.
Operation 8 on Machine 8 duration 91 mins.
Operation 9 on Machine 6 duration 91 mins.
Operation 10 on Machine 12 duration 56 mins.
Operation 11 on Machine 11 duration 149 mins.
Operation 12 on Machine 1 duration 2 mins.
Operation 13 on Machine 13 duration 192 mins.
Operation 14 on Machine 14 duration 166 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 4 duration 32 mins.
Operation 1 on Machine 11 duration 9 mins.
Operation 2 on Machine 1 duration 78 mins.
Operation 3 on Machine 13 duration 21 mins.
Operation 4 on Machine 3 duration 93 mins.
Operation 5 on Machine 0 duration 48 mins.
Operation 6 on Machine 8 duration 64 mins.
Operation 7 on Machine 12 duration 53 mins.
Operation 8 on Machine 5 duration 8 mins.
Operation 9 on Machine 10 duration 188 mins.
Operation 10 on Machine 2 duration 2 mins.
Operation 11 on Machine 14 duration 16 mins.
Operation 12 on Machine 7 duration 174 mins.
Operation 13 on Machine 6 duration 28 mins.
Operation 14 on Machine 9 duration 175 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 14 duration 67 mins.
Operation 1 on Machine 12 duration 39 mins.
Operation 2 on Machine 13 duration 10 mins.
Operation 3 on Machine 8 duration 131 mins.
Operation 4 on Machine 10 duration 148 mins.
Operation 5 on Machine 11 duration 154 mins.
Operation 6 on Machine 5 duration 136 mins.
Operation 7 on Machine 3 duration 82 mins.
Operation 8 on Machine 9 duration 55 mins.
Operation 9 on Machine 4 duration 195 mins.
Operation 10 on Machine 1 duration 9 mins.
Operation 11 on Machine 6 duration 127 mins.
Operation 12 on Machine 0 duration 143 mins.
Operation 13 on Machine 7 duration 144 mins.
Operation 14 on Machine 2 duration 142 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 3 duration 19 mins.
Operation 1 on Machine 14 duration 55 mins.
Operation 2 on Machine 10 duration 21 mins.
Operation 3 on Machine 1 duration 117 mins.
Operation 4 on Machine 5 duration 154 mins.
Operation 5 on Machine 13 duration 157 mins.
Operation 6 on Machine 9 duration 65 mins.
Operation 7 on Machine 11 duration 70 mins.
Operation 8 on Machine 7 duration 41 mins.
Operation 9 on Machine 6 duration 162 mins.
Operation 10 on Machine 8 duration 196 mins.
Operation 11 on Machine 0 duration 96 mins.
Operation 12 on Machine 12 duration 36 mins.
Operation 13 on Machine 4 duration 175 mins.
Operation 14 on Machine 2 duration 140 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 12 duration 5 mins.
Operation 1 on Machine 14 duration 126 mins.
Operation 2 on Machine 3 duration 169 mins.
Operation 3 on Machine 4 duration 62 mins.
Operation 4 on Machine 11 duration 65 mins.
Operation 5 on Machine 10 duration 37 mins.
Operation 6 on Machine 6 duration 126 mins.
Operation 7 on Machine 1 duration 140 mins.
Operation 8 on Machine 5 duration 129 mins.
Operation 9 on Machine 7 duration 33 mins.
Operation 10 on Machine 0 duration 52 mins.
Operation 11 on Machine 9 duration 93 mins.
Operation 12 on Machine 8 duration 107 mins.
Operation 13 on Machine 13 duration 145 mins.
Operation 14 on Machine 2 duration 109 mins.
| null |
Optimize schedule for 20 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 18 mins.
Job 0 Operation 1 duration 35 mins.
Job 15 Operation 1 duration 20 mins.
Job 7 Operation 2 duration 169 mins.
Job 11 Operation 2 duration 146 mins.
Job 3 Operation 3 duration 45 mins.
Job 4 Operation 3 duration 150 mins.
Job 13 Operation 3 duration 58 mins.
Job 12 Operation 4 duration 180 mins.
Job 10 Operation 5 duration 89 mins.
Job 16 Operation 5 duration 48 mins.
Job 2 Operation 7 duration 7 mins.
Job 9 Operation 9 duration 38 mins.
Job 14 Operation 9 duration 5 mins.
Job 1 Operation 10 duration 102 mins.
Job 8 Operation 10 duration 163 mins.
Job 19 Operation 10 duration 52 mins.
Job 18 Operation 11 duration 96 mins.
Job 17 Operation 12 duration 143 mins.
Job 5 Operation 14 duration 15 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 0 duration 59 mins.
Job 1 Operation 1 duration 37 mins.
Job 12 Operation 1 duration 191 mins.
Job 5 Operation 2 duration 68 mins.
Job 8 Operation 2 duration 179 mins.
Job 14 Operation 2 duration 158 mins.
Job 16 Operation 2 duration 78 mins.
Job 2 Operation 3 duration 184 mins.
Job 18 Operation 3 duration 117 mins.
Job 0 Operation 6 duration 136 mins.
Job 10 Operation 6 duration 48 mins.
Job 11 Operation 6 duration 187 mins.
Job 19 Operation 7 duration 140 mins.
Job 6 Operation 9 duration 18 mins.
Job 17 Operation 10 duration 9 mins.
Job 3 Operation 11 duration 184 mins.
Job 4 Operation 11 duration 28 mins.
Job 15 Operation 12 duration 2 mins.
Job 9 Operation 13 duration 116 mins.
Job 13 Operation 14 duration 74 mins.
Machine 2 is used for the following Operations:
Job 15 Operation 0 duration 187 mins.
Job 6 Operation 1 duration 53 mins.
Job 12 Operation 2 duration 189 mins.
Job 7 Operation 3 duration 58 mins.
Job 4 Operation 5 duration 131 mins.
Job 5 Operation 6 duration 76 mins.
Job 14 Operation 7 duration 18 mins.
Job 1 Operation 8 duration 93 mins.
Job 3 Operation 8 duration 16 mins.
Job 0 Operation 9 duration 115 mins.
Job 8 Operation 9 duration 121 mins.
Job 10 Operation 9 duration 79 mins.
Job 16 Operation 10 duration 2 mins.
Job 2 Operation 11 duration 179 mins.
Job 13 Operation 11 duration 10 mins.
Job 11 Operation 12 duration 113 mins.
Job 9 Operation 14 duration 101 mins.
Job 17 Operation 14 duration 142 mins.
Job 18 Operation 14 duration 140 mins.
Job 19 Operation 14 duration 109 mins.
Machine 3 is used for the following Operations:
Job 13 Operation 0 duration 127 mins.
Job 18 Operation 0 duration 19 mins.
Job 10 Operation 1 duration 122 mins.
Job 19 Operation 2 duration 169 mins.
Job 6 Operation 4 duration 7 mins.
Job 16 Operation 4 duration 93 mins.
Job 9 Operation 7 duration 131 mins.
Job 15 Operation 7 duration 180 mins.
Job 17 Operation 7 duration 82 mins.
Job 0 Operation 8 duration 48 mins.
Job 11 Operation 9 duration 133 mins.
Job 14 Operation 10 duration 132 mins.
Job 7 Operation 11 duration 136 mins.
Job 12 Operation 11 duration 31 mins.
Job 3 Operation 12 duration 135 mins.
Job 4 Operation 12 duration 137 mins.
Job 5 Operation 12 duration 148 mins.
Job 1 Operation 13 duration 141 mins.
Job 2 Operation 14 duration 59 mins.
Job 8 Operation 14 duration 32 mins.
Machine 4 is used for the following Operations:
Job 16 Operation 0 duration 32 mins.
Job 9 Operation 2 duration 116 mins.
Job 15 Operation 2 duration 196 mins.
Job 8 Operation 3 duration 166 mins.
Job 14 Operation 3 duration 198 mins.
Job 19 Operation 3 duration 62 mins.
Job 1 Operation 4 duration 65 mins.
Job 5 Operation 4 duration 99 mins.
Job 10 Operation 7 duration 72 mins.
Job 13 Operation 8 duration 152 mins.
Job 3 Operation 9 duration 164 mins.
Job 4 Operation 9 duration 195 mins.
Job 17 Operation 9 duration 195 mins.
Job 0 Operation 12 duration 102 mins.
Job 6 Operation 12 duration 7 mins.
Job 7 Operation 12 duration 170 mins.
Job 2 Operation 13 duration 179 mins.
Job 12 Operation 13 duration 95 mins.
Job 18 Operation 13 duration 175 mins.
Job 11 Operation 14 duration 154 mins.
Machine 5 is used for the following Operations:
Job 5 Operation 1 duration 87 mins.
Job 8 Operation 1 duration 122 mins.
Job 9 Operation 3 duration 142 mins.
Job 10 Operation 3 duration 78 mins.
Job 15 Operation 4 duration 54 mins.
Job 18 Operation 4 duration 154 mins.
Job 12 Operation 5 duration 26 mins.
Job 14 Operation 6 duration 138 mins.
Job 17 Operation 6 duration 136 mins.
Job 4 Operation 7 duration 156 mins.
Job 2 Operation 8 duration 7 mins.
Job 16 Operation 8 duration 8 mins.
Job 19 Operation 8 duration 129 mins.
Job 1 Operation 9 duration 145 mins.
Job 3 Operation 10 duration 50 mins.
Job 11 Operation 10 duration 91 mins.
Job 0 Operation 13 duration 134 mins.
Job 13 Operation 13 duration 85 mins.
Job 6 Operation 14 duration 197 mins.
Job 7 Operation 14 duration 44 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 175 mins.
Job 2 Operation 0 duration 135 mins.
Job 3 Operation 0 duration 140 mins.
Job 5 Operation 0 duration 83 mins.
Job 4 Operation 4 duration 79 mins.
Job 8 Operation 4 duration 174 mins.
Job 0 Operation 5 duration 92 mins.
Job 13 Operation 5 duration 18 mins.
Job 14 Operation 5 duration 133 mins.
Job 7 Operation 6 duration 82 mins.
Job 9 Operation 6 duration 62 mins.
Job 19 Operation 6 duration 126 mins.
Job 11 Operation 8 duration 100 mins.
Job 15 Operation 9 duration 91 mins.
Job 18 Operation 9 duration 162 mins.
Job 6 Operation 10 duration 80 mins.
Job 12 Operation 10 duration 21 mins.
Job 17 Operation 11 duration 127 mins.
Job 10 Operation 13 duration 133 mins.
Job 16 Operation 13 duration 28 mins.
Machine 7 is used for the following Operations:
Job 9 Operation 0 duration 83 mins.
Job 12 Operation 0 duration 41 mins.
Job 0 Operation 3 duration 57 mins.
Job 7 Operation 4 duration 118 mins.
Job 15 Operation 5 duration 125 mins.
Job 1 Operation 7 duration 37 mins.
Job 8 Operation 7 duration 157 mins.
Job 14 Operation 8 duration 61 mins.
Job 18 Operation 8 duration 41 mins.
Job 5 Operation 9 duration 81 mins.
Job 19 Operation 9 duration 33 mins.
Job 4 Operation 10 duration 21 mins.
Job 10 Operation 10 duration 107 mins.
Job 13 Operation 10 duration 7 mins.
Job 6 Operation 11 duration 68 mins.
Job 11 Operation 11 duration 146 mins.
Job 2 Operation 12 duration 128 mins.
Job 16 Operation 12 duration 174 mins.
Job 17 Operation 13 duration 144 mins.
Job 3 Operation 14 duration 58 mins.
Machine 8 is used for the following Operations:
Job 0 Operation 0 duration 43 mins.
Job 4 Operation 0 duration 37 mins.
Job 10 Operation 0 duration 90 mins.
Job 1 Operation 2 duration 140 mins.
Job 2 Operation 2 duration 24 mins.
Job 12 Operation 3 duration 113 mins.
Job 17 Operation 3 duration 131 mins.
Job 6 Operation 5 duration 43 mins.
Job 7 Operation 5 duration 173 mins.
Job 3 Operation 6 duration 124 mins.
Job 16 Operation 6 duration 64 mins.
Job 11 Operation 7 duration 76 mins.
Job 5 Operation 8 duration 135 mins.
Job 8 Operation 8 duration 89 mins.
Job 9 Operation 8 duration 43 mins.
Job 15 Operation 8 duration 91 mins.
Job 13 Operation 9 duration 30 mins.
Job 18 Operation 10 duration 196 mins.
Job 19 Operation 12 duration 107 mins.
Job 14 Operation 13 duration 16 mins.
Machine 9 is used for the following Operations:
Job 14 Operation 0 duration 176 mins.
Job 9 Operation 1 duration 184 mins.
Job 11 Operation 1 duration 3 mins.
Job 1 Operation 3 duration 82 mins.
Job 15 Operation 3 duration 126 mins.
Job 2 Operation 4 duration 2 mins.
Job 6 Operation 6 duration 27 mins.
Job 18 Operation 6 duration 65 mins.
Job 3 Operation 7 duration 79 mins.
Job 10 Operation 8 duration 160 mins.
Job 12 Operation 8 duration 83 mins.
Job 17 Operation 8 duration 55 mins.
Job 7 Operation 9 duration 20 mins.
Job 5 Operation 10 duration 150 mins.
Job 0 Operation 11 duration 116 mins.
Job 19 Operation 11 duration 93 mins.
Job 8 Operation 12 duration 44 mins.
Job 13 Operation 12 duration 108 mins.
Job 4 Operation 13 duration 81 mins.
Job 16 Operation 14 duration 175 mins.
Machine 10 is used for the following Operations:
Job 4 Operation 1 duration 40 mins.
Job 7 Operation 1 duration 27 mins.
Job 14 Operation 1 duration 46 mins.
Job 0 Operation 2 duration 16 mins.
Job 6 Operation 2 duration 56 mins.
Job 18 Operation 2 duration 21 mins.
Job 11 Operation 3 duration 145 mins.
Job 17 Operation 4 duration 148 mins.
Job 3 Operation 5 duration 36 mins.
Job 19 Operation 5 duration 37 mins.
Job 15 Operation 6 duration 69 mins.
Job 12 Operation 7 duration 181 mins.
Job 13 Operation 7 duration 181 mins.
Job 2 Operation 9 duration 177 mins.
Job 16 Operation 9 duration 188 mins.
Job 1 Operation 11 duration 150 mins.
Job 5 Operation 11 duration 54 mins.
Job 8 Operation 11 duration 120 mins.
Job 9 Operation 11 duration 121 mins.
Job 10 Operation 14 duration 78 mins.
Machine 11 is used for the following Operations:
Job 16 Operation 1 duration 9 mins.
Job 4 Operation 2 duration 16 mins.
Job 5 Operation 3 duration 165 mins.
Job 6 Operation 3 duration 12 mins.
Job 10 Operation 4 duration 95 mins.
Job 13 Operation 4 duration 111 mins.
Job 14 Operation 4 duration 8 mins.
Job 19 Operation 4 duration 65 mins.
Job 1 Operation 5 duration 40 mins.
Job 2 Operation 5 duration 116 mins.
Job 11 Operation 5 duration 1 mins.
Job 17 Operation 5 duration 154 mins.
Job 0 Operation 7 duration 184 mins.
Job 7 Operation 7 duration 177 mins.
Job 18 Operation 7 duration 70 mins.
Job 15 Operation 11 duration 149 mins.
Job 9 Operation 12 duration 136 mins.
Job 12 Operation 12 duration 137 mins.
Job 3 Operation 13 duration 135 mins.
Job 8 Operation 13 duration 177 mins.
Machine 12 is used for the following Operations:
Job 11 Operation 0 duration 152 mins.
Job 19 Operation 0 duration 5 mins.
Job 2 Operation 1 duration 31 mins.
Job 3 Operation 1 duration 196 mins.
Job 17 Operation 1 duration 39 mins.
Job 13 Operation 2 duration 193 mins.
Job 0 Operation 4 duration 161 mins.
Job 8 Operation 5 duration 142 mins.
Job 4 Operation 6 duration 188 mins.
Job 12 Operation 6 duration 38 mins.
Job 5 Operation 7 duration 113 mins.
Job 16 Operation 7 duration 53 mins.
Job 7 Operation 8 duration 49 mins.
Job 9 Operation 10 duration 104 mins.
Job 15 Operation 10 duration 56 mins.
Job 14 Operation 11 duration 160 mins.
Job 10 Operation 12 duration 91 mins.
Job 18 Operation 12 duration 36 mins.
Job 6 Operation 13 duration 62 mins.
Job 1 Operation 14 duration 87 mins.
Machine 13 is used for the following Operations:
Job 8 Operation 0 duration 136 mins.
Job 17 Operation 2 duration 10 mins.
Job 16 Operation 3 duration 21 mins.
Job 3 Operation 4 duration 58 mins.
Job 5 Operation 5 duration 165 mins.
Job 9 Operation 5 duration 183 mins.
Job 18 Operation 5 duration 157 mins.
Job 13 Operation 6 duration 1 mins.
Job 6 Operation 7 duration 122 mins.
Job 12 Operation 9 duration 183 mins.
Job 0 Operation 10 duration 125 mins.
Job 2 Operation 10 duration 164 mins.
Job 7 Operation 10 duration 139 mins.
Job 10 Operation 11 duration 10 mins.
Job 1 Operation 12 duration 198 mins.
Job 11 Operation 13 duration 136 mins.
Job 15 Operation 13 duration 192 mins.
Job 19 Operation 13 duration 145 mins.
Job 4 Operation 14 duration 67 mins.
Job 14 Operation 14 duration 65 mins.
Machine 14 is used for the following Operations:
Job 17 Operation 0 duration 67 mins.
Job 13 Operation 1 duration 137 mins.
Job 18 Operation 1 duration 55 mins.
Job 19 Operation 1 duration 126 mins.
Job 3 Operation 2 duration 93 mins.
Job 10 Operation 2 duration 20 mins.
Job 9 Operation 4 duration 132 mins.
Job 11 Operation 4 duration 31 mins.
Job 1 Operation 6 duration 112 mins.
Job 2 Operation 6 duration 64 mins.
Job 8 Operation 6 duration 62 mins.
Job 4 Operation 8 duration 134 mins.
Job 6 Operation 8 duration 146 mins.
Job 16 Operation 11 duration 16 mins.
Job 14 Operation 12 duration 79 mins.
Job 5 Operation 13 duration 24 mins.
Job 7 Operation 13 duration 42 mins.
Job 0 Operation 14 duration 187 mins.
Job 12 Operation 14 duration 171 mins.
Job 15 Operation 14 duration 166 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 18 -> 18
Job 7 Operation 0 on Machine 1 : 0 + 59 -> 59
Job 15 Operation 0 on Machine 2 : 0 + 187 -> 187
Job 18 Operation 0 on Machine 3 : 0 + 19 -> 19
Job 16 Operation 0 on Machine 4 : 0 + 32 -> 32
Job 5 Operation 0 on Machine 6 : 0 + 83 -> 83
Job 9 Operation 0 on Machine 7 : 0 + 83 -> 83
Job 4 Operation 0 on Machine 8 : 0 + 37 -> 37
Job 11 Operation 0 on Machine 12 : 0 + 152 -> 152
Job 8 Operation 0 on Machine 13 : 0 + 136 -> 136
Job 13 Operation 0 on Machine 3 : 19 + 127 -> 146
Job 18 Operation 1 on Machine 14 : 19 + 55 -> 74
Job 16 Operation 1 on Machine 11 : 32 + 9 -> 41
Job 0 Operation 0 on Machine 8 : 37 + 43 -> 80
Job 18 Operation 2 on Machine 10 : 74 + 21 -> 95
Job 17 Operation 0 on Machine 14 : 74 + 67 -> 141
Job 0 Operation 1 on Machine 0 : 80 + 35 -> 115
Job 10 Operation 0 on Machine 8 : 80 + 90 -> 170
Job 3 Operation 0 on Machine 6 : 83 + 140 -> 223
Job 12 Operation 0 on Machine 7 : 83 + 41 -> 124
Job 9 Operation 1 on Machine 9 : 83 + 184 -> 267
Job 18 Operation 3 on Machine 1 : 95 + 117 -> 212
Job 7 Operation 1 on Machine 10 : 95 + 27 -> 122
Job 4 Operation 1 on Machine 10 : 122 + 40 -> 162
Job 8 Operation 1 on Machine 5 : 136 + 122 -> 258
Job 13 Operation 1 on Machine 14 : 146 + 137 -> 283
Job 17 Operation 1 on Machine 12 : 152 + 39 -> 191
Job 0 Operation 2 on Machine 10 : 162 + 16 -> 178
Job 4 Operation 2 on Machine 11 : 162 + 16 -> 178
Job 10 Operation 1 on Machine 3 : 170 + 122 -> 292
Job 0 Operation 3 on Machine 7 : 178 + 57 -> 235
Job 15 Operation 1 on Machine 0 : 187 + 20 -> 207
Job 6 Operation 1 on Machine 2 : 187 + 53 -> 240
Job 19 Operation 0 on Machine 12 : 191 + 5 -> 196
Job 17 Operation 2 on Machine 13 : 191 + 10 -> 201
Job 17 Operation 3 on Machine 8 : 201 + 131 -> 332
Job 4 Operation 3 on Machine 0 : 207 + 150 -> 357
Job 15 Operation 2 on Machine 4 : 207 + 196 -> 403
Job 1 Operation 0 on Machine 6 : 223 + 175 -> 398
Job 3 Operation 1 on Machine 12 : 223 + 196 -> 419
Job 6 Operation 2 on Machine 10 : 240 + 56 -> 296
Job 8 Operation 2 on Machine 1 : 258 + 179 -> 437
Job 11 Operation 1 on Machine 9 : 267 + 3 -> 270
Job 10 Operation 2 on Machine 14 : 292 + 20 -> 312
Job 6 Operation 3 on Machine 11 : 296 + 12 -> 308
Job 6 Operation 4 on Machine 3 : 308 + 7 -> 315
Job 10 Operation 3 on Machine 5 : 312 + 78 -> 390
Job 19 Operation 1 on Machine 14 : 312 + 126 -> 438
Job 6 Operation 5 on Machine 8 : 332 + 43 -> 375
Job 17 Operation 4 on Machine 10 : 332 + 148 -> 480
Job 6 Operation 6 on Machine 9 : 375 + 27 -> 402
Job 5 Operation 1 on Machine 5 : 390 + 87 -> 477
Job 10 Operation 4 on Machine 11 : 390 + 95 -> 485
Job 2 Operation 0 on Machine 6 : 398 + 135 -> 533
Job 6 Operation 7 on Machine 13 : 402 + 122 -> 524
Job 15 Operation 3 on Machine 9 : 403 + 126 -> 529
Job 1 Operation 1 on Machine 1 : 437 + 37 -> 474
Job 8 Operation 3 on Machine 4 : 437 + 166 -> 603
Job 19 Operation 2 on Machine 3 : 438 + 169 -> 607
Job 3 Operation 2 on Machine 14 : 438 + 93 -> 531
Job 5 Operation 2 on Machine 1 : 477 + 68 -> 545
Job 10 Operation 5 on Machine 0 : 485 + 89 -> 574
Job 17 Operation 5 on Machine 11 : 485 + 154 -> 639
Job 15 Operation 4 on Machine 5 : 529 + 54 -> 583
Job 14 Operation 0 on Machine 9 : 529 + 176 -> 705
Job 6 Operation 8 on Machine 14 : 531 + 146 -> 677
Job 4 Operation 4 on Machine 6 : 533 + 79 -> 612
Job 2 Operation 1 on Machine 12 : 533 + 31 -> 564
Job 2 Operation 2 on Machine 8 : 564 + 24 -> 588
Job 13 Operation 2 on Machine 12 : 564 + 193 -> 757
Job 3 Operation 3 on Machine 0 : 574 + 45 -> 619
Job 10 Operation 6 on Machine 1 : 574 + 48 -> 622
Job 18 Operation 4 on Machine 5 : 583 + 154 -> 737
Job 15 Operation 5 on Machine 7 : 583 + 125 -> 708
Job 4 Operation 5 on Machine 2 : 612 + 131 -> 743
Job 8 Operation 4 on Machine 6 : 612 + 174 -> 786
Job 7 Operation 2 on Machine 0 : 619 + 169 -> 788
Job 3 Operation 4 on Machine 13 : 619 + 58 -> 677
Job 2 Operation 3 on Machine 1 : 622 + 184 -> 806
Job 10 Operation 7 on Machine 4 : 622 + 72 -> 694
Job 5 Operation 3 on Machine 11 : 639 + 165 -> 804
Job 3 Operation 5 on Machine 10 : 677 + 36 -> 713
Job 9 Operation 2 on Machine 4 : 694 + 116 -> 810
Job 3 Operation 6 on Machine 8 : 713 + 124 -> 837
Job 15 Operation 6 on Machine 10 : 713 + 69 -> 782
Job 17 Operation 6 on Machine 5 : 737 + 136 -> 873
Job 18 Operation 5 on Machine 13 : 737 + 157 -> 894
Job 0 Operation 4 on Machine 12 : 757 + 161 -> 918
Job 15 Operation 7 on Machine 3 : 782 + 180 -> 962
Job 14 Operation 1 on Machine 10 : 782 + 46 -> 828
Job 13 Operation 3 on Machine 0 : 788 + 58 -> 846
Job 7 Operation 3 on Machine 2 : 788 + 58 -> 846
Job 12 Operation 1 on Machine 1 : 806 + 191 -> 997
Job 2 Operation 4 on Machine 9 : 806 + 2 -> 808
Job 2 Operation 5 on Machine 11 : 808 + 116 -> 924
Job 5 Operation 4 on Machine 4 : 810 + 99 -> 909
Job 1 Operation 2 on Machine 8 : 837 + 140 -> 977
Job 3 Operation 7 on Machine 9 : 837 + 79 -> 916
Job 7 Operation 4 on Machine 7 : 846 + 118 -> 964
Job 5 Operation 5 on Machine 13 : 909 + 165 -> 1074
Job 3 Operation 8 on Machine 2 : 916 + 16 -> 932
Job 18 Operation 6 on Machine 9 : 916 + 65 -> 981
Job 0 Operation 5 on Machine 6 : 918 + 92 -> 1010
Job 4 Operation 6 on Machine 12 : 918 + 188 -> 1106
Job 13 Operation 4 on Machine 11 : 924 + 111 -> 1035
Job 2 Operation 6 on Machine 14 : 924 + 64 -> 988
Job 3 Operation 9 on Machine 4 : 932 + 164 -> 1096
Job 17 Operation 7 on Machine 3 : 962 + 82 -> 1044
Job 15 Operation 8 on Machine 8 : 977 + 91 -> 1068
Job 1 Operation 3 on Machine 9 : 981 + 82 -> 1063
Job 2 Operation 7 on Machine 0 : 988 + 7 -> 995
Job 11 Operation 2 on Machine 0 : 995 + 146 -> 1141
Job 2 Operation 8 on Machine 5 : 995 + 7 -> 1002
Job 16 Operation 2 on Machine 1 : 997 + 78 -> 1075
Job 12 Operation 2 on Machine 2 : 997 + 189 -> 1186
Job 9 Operation 3 on Machine 5 : 1002 + 142 -> 1144
Job 2 Operation 9 on Machine 10 : 1002 + 177 -> 1179
Job 13 Operation 5 on Machine 6 : 1035 + 18 -> 1053
Job 18 Operation 7 on Machine 11 : 1035 + 70 -> 1105
Job 17 Operation 8 on Machine 9 : 1063 + 55 -> 1118
Job 15 Operation 9 on Machine 6 : 1068 + 91 -> 1159
Job 7 Operation 5 on Machine 8 : 1068 + 173 -> 1241
Job 13 Operation 6 on Machine 13 : 1074 + 1 -> 1075
Job 0 Operation 6 on Machine 1 : 1075 + 136 -> 1211
Job 16 Operation 3 on Machine 13 : 1075 + 21 -> 1096
Job 16 Operation 4 on Machine 3 : 1096 + 93 -> 1189
Job 1 Operation 4 on Machine 4 : 1096 + 65 -> 1161
Job 18 Operation 8 on Machine 7 : 1105 + 41 -> 1146
Job 10 Operation 8 on Machine 9 : 1118 + 160 -> 1278
Job 4 Operation 7 on Machine 5 : 1144 + 156 -> 1300
Job 9 Operation 4 on Machine 14 : 1144 + 132 -> 1276
Job 18 Operation 9 on Machine 6 : 1159 + 162 -> 1321
Job 15 Operation 10 on Machine 12 : 1159 + 56 -> 1215
Job 17 Operation 9 on Machine 4 : 1161 + 195 -> 1356
Job 1 Operation 5 on Machine 11 : 1161 + 40 -> 1201
Job 11 Operation 3 on Machine 10 : 1179 + 145 -> 1324
Job 2 Operation 10 on Machine 13 : 1179 + 164 -> 1343
Job 5 Operation 6 on Machine 2 : 1186 + 76 -> 1262
Job 16 Operation 5 on Machine 0 : 1189 + 48 -> 1237
Job 6 Operation 9 on Machine 1 : 1211 + 18 -> 1229
Job 15 Operation 11 on Machine 11 : 1215 + 149 -> 1364
Job 8 Operation 5 on Machine 12 : 1215 + 142 -> 1357
Job 14 Operation 2 on Machine 1 : 1229 + 158 -> 1387
Job 12 Operation 3 on Machine 8 : 1241 + 113 -> 1354
Job 3 Operation 10 on Machine 5 : 1300 + 50 -> 1350
Job 6 Operation 10 on Machine 6 : 1321 + 80 -> 1401
Job 13 Operation 7 on Machine 10 : 1324 + 181 -> 1505
Job 11 Operation 4 on Machine 14 : 1324 + 31 -> 1355
Job 2 Operation 11 on Machine 2 : 1343 + 179 -> 1522
Job 9 Operation 5 on Machine 13 : 1343 + 183 -> 1526
Job 12 Operation 4 on Machine 0 : 1354 + 180 -> 1534
Job 18 Operation 10 on Machine 8 : 1354 + 196 -> 1550
Job 1 Operation 6 on Machine 14 : 1355 + 112 -> 1467
Job 19 Operation 3 on Machine 4 : 1356 + 62 -> 1418
Job 5 Operation 7 on Machine 12 : 1357 + 113 -> 1470
Job 11 Operation 5 on Machine 11 : 1364 + 1 -> 1365
Job 0 Operation 7 on Machine 11 : 1365 + 184 -> 1549
Job 17 Operation 10 on Machine 1 : 1387 + 9 -> 1396
Job 15 Operation 12 on Machine 1 : 1396 + 2 -> 1398
Job 11 Operation 6 on Machine 1 : 1398 + 187 -> 1585
Job 7 Operation 6 on Machine 6 : 1401 + 82 -> 1483
Job 6 Operation 11 on Machine 7 : 1401 + 68 -> 1469
Job 14 Operation 3 on Machine 4 : 1418 + 198 -> 1616
Job 4 Operation 8 on Machine 14 : 1467 + 134 -> 1601
Job 1 Operation 7 on Machine 7 : 1469 + 37 -> 1506
Job 1 Operation 8 on Machine 2 : 1522 + 93 -> 1615
Job 2 Operation 12 on Machine 7 : 1522 + 128 -> 1650
Job 9 Operation 6 on Machine 6 : 1526 + 62 -> 1588
Job 15 Operation 13 on Machine 13 : 1526 + 192 -> 1718
Job 12 Operation 5 on Machine 5 : 1534 + 26 -> 1560
Job 0 Operation 8 on Machine 3 : 1549 + 48 -> 1597
Job 19 Operation 4 on Machine 11 : 1549 + 65 -> 1614
Job 18 Operation 11 on Machine 0 : 1550 + 96 -> 1646
Job 12 Operation 6 on Machine 12 : 1560 + 38 -> 1598
Job 3 Operation 11 on Machine 1 : 1585 + 184 -> 1769
Job 11 Operation 7 on Machine 8 : 1585 + 76 -> 1661
Job 9 Operation 7 on Machine 3 : 1597 + 131 -> 1728
Job 12 Operation 7 on Machine 10 : 1598 + 181 -> 1779
Job 8 Operation 6 on Machine 14 : 1601 + 62 -> 1663
Job 0 Operation 9 on Machine 2 : 1615 + 115 -> 1730
Job 1 Operation 9 on Machine 5 : 1615 + 145 -> 1760
Job 6 Operation 12 on Machine 4 : 1616 + 7 -> 1623
Job 14 Operation 4 on Machine 11 : 1616 + 8 -> 1624
Job 14 Operation 5 on Machine 6 : 1624 + 133 -> 1757
Job 7 Operation 7 on Machine 11 : 1624 + 177 -> 1801
Job 18 Operation 12 on Machine 12 : 1646 + 36 -> 1682
Job 2 Operation 13 on Machine 4 : 1650 + 179 -> 1829
Job 5 Operation 8 on Machine 8 : 1661 + 135 -> 1796
Job 8 Operation 7 on Machine 7 : 1663 + 157 -> 1820
Job 6 Operation 13 on Machine 12 : 1682 + 62 -> 1744
Job 15 Operation 14 on Machine 14 : 1718 + 166 -> 1884
Job 10 Operation 9 on Machine 2 : 1730 + 79 -> 1809
Job 0 Operation 10 on Machine 13 : 1730 + 125 -> 1855
Job 11 Operation 8 on Machine 6 : 1757 + 100 -> 1857
Job 1 Operation 10 on Machine 0 : 1760 + 102 -> 1862
Job 14 Operation 6 on Machine 5 : 1760 + 138 -> 1898
Job 3 Operation 12 on Machine 3 : 1769 + 135 -> 1904
Job 19 Operation 5 on Machine 10 : 1779 + 37 -> 1816
Job 9 Operation 8 on Machine 8 : 1796 + 43 -> 1839
Job 7 Operation 8 on Machine 12 : 1801 + 49 -> 1850
Job 5 Operation 9 on Machine 7 : 1820 + 81 -> 1901
Job 13 Operation 8 on Machine 4 : 1829 + 152 -> 1981
Job 8 Operation 8 on Machine 8 : 1839 + 89 -> 1928
Job 7 Operation 9 on Machine 9 : 1850 + 20 -> 1870
Job 19 Operation 6 on Machine 6 : 1857 + 126 -> 1983
Job 9 Operation 9 on Machine 0 : 1862 + 38 -> 1900
Job 1 Operation 11 on Machine 10 : 1862 + 150 -> 2012
Job 0 Operation 11 on Machine 9 : 1870 + 116 -> 1986
Job 7 Operation 10 on Machine 13 : 1870 + 139 -> 2009
Job 14 Operation 7 on Machine 2 : 1898 + 18 -> 1916
Job 9 Operation 10 on Machine 12 : 1900 + 104 -> 2004
Job 11 Operation 9 on Machine 3 : 1904 + 133 -> 2037
Job 3 Operation 13 on Machine 11 : 1904 + 135 -> 2039
Job 14 Operation 8 on Machine 7 : 1916 + 61 -> 1977
Job 8 Operation 9 on Machine 2 : 1928 + 121 -> 2049
Job 14 Operation 9 on Machine 0 : 1977 + 5 -> 1982
Job 4 Operation 9 on Machine 4 : 1981 + 195 -> 2176
Job 13 Operation 9 on Machine 8 : 1981 + 30 -> 2011
Job 19 Operation 7 on Machine 1 : 1983 + 140 -> 2123
Job 17 Operation 11 on Machine 6 : 1983 + 127 -> 2110
Job 5 Operation 10 on Machine 9 : 1986 + 150 -> 2136
Job 13 Operation 10 on Machine 7 : 2011 + 7 -> 2018
Job 16 Operation 6 on Machine 8 : 2011 + 64 -> 2075
Job 9 Operation 11 on Machine 10 : 2012 + 121 -> 2133
Job 1 Operation 12 on Machine 13 : 2012 + 198 -> 2210
Job 10 Operation 10 on Machine 7 : 2018 + 107 -> 2125
Job 14 Operation 10 on Machine 3 : 2037 + 132 -> 2169
Job 11 Operation 10 on Machine 5 : 2037 + 91 -> 2128
Job 8 Operation 10 on Machine 0 : 2049 + 163 -> 2212
Job 13 Operation 11 on Machine 2 : 2049 + 10 -> 2059
Job 16 Operation 7 on Machine 12 : 2075 + 53 -> 2128
Job 16 Operation 8 on Machine 5 : 2128 + 8 -> 2136
Job 11 Operation 11 on Machine 7 : 2128 + 146 -> 2274
Job 9 Operation 12 on Machine 11 : 2133 + 136 -> 2269
Job 19 Operation 8 on Machine 5 : 2136 + 129 -> 2265
Job 12 Operation 8 on Machine 9 : 2136 + 83 -> 2219
Job 5 Operation 11 on Machine 10 : 2136 + 54 -> 2190
Job 7 Operation 11 on Machine 3 : 2169 + 136 -> 2305
Job 14 Operation 11 on Machine 12 : 2169 + 160 -> 2329
Job 0 Operation 12 on Machine 4 : 2176 + 102 -> 2278
Job 16 Operation 9 on Machine 10 : 2190 + 188 -> 2378
Job 10 Operation 11 on Machine 13 : 2210 + 10 -> 2220
Job 17 Operation 12 on Machine 0 : 2212 + 143 -> 2355
Job 13 Operation 12 on Machine 9 : 2219 + 108 -> 2327
Job 12 Operation 9 on Machine 13 : 2220 + 183 -> 2403
Job 9 Operation 13 on Machine 1 : 2269 + 116 -> 2385
Job 11 Operation 12 on Machine 2 : 2274 + 113 -> 2387
Job 19 Operation 9 on Machine 7 : 2274 + 33 -> 2307
Job 18 Operation 13 on Machine 4 : 2278 + 175 -> 2453
Job 0 Operation 13 on Machine 5 : 2278 + 134 -> 2412
Job 5 Operation 12 on Machine 3 : 2305 + 148 -> 2453
Job 4 Operation 10 on Machine 7 : 2307 + 21 -> 2328
Job 10 Operation 12 on Machine 12 : 2329 + 91 -> 2420
Job 14 Operation 12 on Machine 14 : 2329 + 79 -> 2408
Job 19 Operation 10 on Machine 0 : 2355 + 52 -> 2407
Job 17 Operation 13 on Machine 7 : 2355 + 144 -> 2499
Job 8 Operation 11 on Machine 10 : 2378 + 120 -> 2498
Job 4 Operation 11 on Machine 1 : 2385 + 28 -> 2413
Job 16 Operation 10 on Machine 2 : 2387 + 2 -> 2389
Job 9 Operation 14 on Machine 2 : 2389 + 101 -> 2490
Job 12 Operation 10 on Machine 6 : 2403 + 21 -> 2424
Job 11 Operation 13 on Machine 13 : 2403 + 136 -> 2539
Job 19 Operation 11 on Machine 9 : 2407 + 93 -> 2500
Job 14 Operation 13 on Machine 8 : 2408 + 16 -> 2424
Job 16 Operation 11 on Machine 14 : 2408 + 16 -> 2424
Job 13 Operation 13 on Machine 5 : 2412 + 85 -> 2497
Job 10 Operation 13 on Machine 6 : 2424 + 133 -> 2557
Job 0 Operation 14 on Machine 14 : 2424 + 187 -> 2611
Job 12 Operation 11 on Machine 3 : 2453 + 31 -> 2484
Job 7 Operation 12 on Machine 4 : 2453 + 170 -> 2623
Job 4 Operation 12 on Machine 3 : 2484 + 137 -> 2621
Job 12 Operation 12 on Machine 11 : 2484 + 137 -> 2621
Job 13 Operation 14 on Machine 1 : 2497 + 74 -> 2571
Job 6 Operation 14 on Machine 5 : 2497 + 197 -> 2694
Job 17 Operation 14 on Machine 2 : 2499 + 142 -> 2641
Job 16 Operation 12 on Machine 7 : 2499 + 174 -> 2673
Job 19 Operation 12 on Machine 8 : 2500 + 107 -> 2607
Job 8 Operation 12 on Machine 9 : 2500 + 44 -> 2544
Job 14 Operation 14 on Machine 13 : 2539 + 65 -> 2604
Job 10 Operation 14 on Machine 10 : 2557 + 78 -> 2635
Job 19 Operation 13 on Machine 13 : 2607 + 145 -> 2752
Job 1 Operation 13 on Machine 3 : 2621 + 141 -> 2762
Job 4 Operation 13 on Machine 9 : 2621 + 81 -> 2702
Job 8 Operation 13 on Machine 11 : 2621 + 177 -> 2798
Job 12 Operation 13 on Machine 4 : 2623 + 95 -> 2718
Job 7 Operation 13 on Machine 14 : 2623 + 42 -> 2665
Job 18 Operation 14 on Machine 2 : 2641 + 140 -> 2781
Job 5 Operation 13 on Machine 14 : 2665 + 24 -> 2689
Job 16 Operation 13 on Machine 6 : 2673 + 28 -> 2701
Job 3 Operation 14 on Machine 7 : 2673 + 58 -> 2731
Job 5 Operation 14 on Machine 0 : 2689 + 15 -> 2704
Job 7 Operation 14 on Machine 5 : 2694 + 44 -> 2738
Job 16 Operation 14 on Machine 9 : 2702 + 175 -> 2877
Job 11 Operation 14 on Machine 4 : 2718 + 154 -> 2872
Job 12 Operation 14 on Machine 14 : 2718 + 171 -> 2889
Job 4 Operation 14 on Machine 13 : 2752 + 67 -> 2819
Job 1 Operation 14 on Machine 12 : 2762 + 87 -> 2849
Job 19 Operation 14 on Machine 2 : 2781 + 109 -> 2890
Job 8 Operation 14 on Machine 3 : 2798 + 32 -> 2830
Job 2 Operation 14 on Machine 3 : 2830 + 59 -> 2889
Makespan: 2890.0, as it is the maximum end completion time of Operation 14
| null |
|
9 | 7 |
Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 258 mins.
Operation 1 on Machine 3 duration 1 mins.
Operation 2 on Machine 4 duration 110 mins.
Operation 3 on Machine 2 duration 209 mins.
Operation 4 on Machine 5 duration 53 mins.
Operation 5 on Machine 0 duration 379 mins.
Operation 6 on Machine 1 duration 361 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 246 mins.
Operation 1 on Machine 2 duration 290 mins.
Operation 2 on Machine 1 duration 396 mins.
Operation 3 on Machine 3 duration 2 mins.
Operation 4 on Machine 6 duration 76 mins.
Operation 5 on Machine 0 duration 378 mins.
Operation 6 on Machine 4 duration 307 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 278 mins.
Operation 1 on Machine 5 duration 416 mins.
Operation 2 on Machine 1 duration 245 mins.
Operation 3 on Machine 0 duration 229 mins.
Operation 4 on Machine 6 duration 312 mins.
Operation 5 on Machine 4 duration 103 mins.
Operation 6 on Machine 2 duration 100 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 156 mins.
Operation 1 on Machine 4 duration 131 mins.
Operation 2 on Machine 1 duration 184 mins.
Operation 3 on Machine 2 duration 128 mins.
Operation 4 on Machine 0 duration 415 mins.
Operation 5 on Machine 3 duration 303 mins.
Operation 6 on Machine 6 duration 166 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 87 mins.
Operation 1 on Machine 2 duration 134 mins.
Operation 2 on Machine 4 duration 356 mins.
Operation 3 on Machine 6 duration 97 mins.
Operation 4 on Machine 5 duration 27 mins.
Operation 5 on Machine 0 duration 294 mins.
Operation 6 on Machine 3 duration 116 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 229 mins.
Operation 1 on Machine 5 duration 97 mins.
Operation 2 on Machine 6 duration 259 mins.
Operation 3 on Machine 4 duration 116 mins.
Operation 4 on Machine 3 duration 317 mins.
Operation 5 on Machine 2 duration 31 mins.
Operation 6 on Machine 1 duration 24 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 66 mins.
Operation 1 on Machine 4 duration 372 mins.
Operation 2 on Machine 0 duration 384 mins.
Operation 3 on Machine 2 duration 243 mins.
Operation 4 on Machine 6 duration 257 mins.
Operation 5 on Machine 5 duration 301 mins.
Operation 6 on Machine 3 duration 30 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 252 mins.
Operation 1 on Machine 1 duration 123 mins.
Operation 2 on Machine 0 duration 60 mins.
Operation 3 on Machine 4 duration 355 mins.
Operation 4 on Machine 3 duration 392 mins.
Operation 5 on Machine 2 duration 376 mins.
Operation 6 on Machine 6 duration 81 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 78 mins.
Operation 1 on Machine 2 duration 278 mins.
Operation 2 on Machine 3 duration 340 mins.
Operation 3 on Machine 6 duration 121 mins.
Operation 4 on Machine 5 duration 408 mins.
Operation 5 on Machine 1 duration 158 mins.
Operation 6 on Machine 4 duration 247 mins.
| null |
Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 229 mins.
Job 8 Operation 0 duration 78 mins.
Job 6 Operation 2 duration 384 mins.
Job 7 Operation 2 duration 60 mins.
Job 2 Operation 3 duration 229 mins.
Job 3 Operation 4 duration 415 mins.
Job 0 Operation 5 duration 379 mins.
Job 1 Operation 5 duration 378 mins.
Job 4 Operation 5 duration 294 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 87 mins.
Job 6 Operation 0 duration 66 mins.
Job 7 Operation 1 duration 123 mins.
Job 1 Operation 2 duration 396 mins.
Job 2 Operation 2 duration 245 mins.
Job 3 Operation 2 duration 184 mins.
Job 8 Operation 5 duration 158 mins.
Job 0 Operation 6 duration 361 mins.
Job 5 Operation 6 duration 24 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 290 mins.
Job 4 Operation 1 duration 134 mins.
Job 8 Operation 1 duration 278 mins.
Job 0 Operation 3 duration 209 mins.
Job 3 Operation 3 duration 128 mins.
Job 6 Operation 3 duration 243 mins.
Job 5 Operation 5 duration 31 mins.
Job 7 Operation 5 duration 376 mins.
Job 2 Operation 6 duration 100 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 278 mins.
Job 0 Operation 1 duration 1 mins.
Job 8 Operation 2 duration 340 mins.
Job 1 Operation 3 duration 2 mins.
Job 5 Operation 4 duration 317 mins.
Job 7 Operation 4 duration 392 mins.
Job 3 Operation 5 duration 303 mins.
Job 4 Operation 6 duration 116 mins.
Job 6 Operation 6 duration 30 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 1 duration 131 mins.
Job 6 Operation 1 duration 372 mins.
Job 0 Operation 2 duration 110 mins.
Job 4 Operation 2 duration 356 mins.
Job 5 Operation 3 duration 116 mins.
Job 7 Operation 3 duration 355 mins.
Job 2 Operation 5 duration 103 mins.
Job 1 Operation 6 duration 307 mins.
Job 8 Operation 6 duration 247 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 246 mins.
Job 3 Operation 0 duration 156 mins.
Job 7 Operation 0 duration 252 mins.
Job 2 Operation 1 duration 416 mins.
Job 5 Operation 1 duration 97 mins.
Job 0 Operation 4 duration 53 mins.
Job 4 Operation 4 duration 27 mins.
Job 8 Operation 4 duration 408 mins.
Job 6 Operation 5 duration 301 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 258 mins.
Job 5 Operation 2 duration 259 mins.
Job 4 Operation 3 duration 97 mins.
Job 8 Operation 3 duration 121 mins.
Job 1 Operation 4 duration 76 mins.
Job 2 Operation 4 duration 312 mins.
Job 6 Operation 4 duration 257 mins.
Job 3 Operation 6 duration 166 mins.
Job 7 Operation 6 duration 81 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 78 -> 78
Job 6 Operation 0 on Machine 1 : 0 + 66 -> 66
Job 2 Operation 0 on Machine 3 : 0 + 278 -> 278
Job 7 Operation 0 on Machine 5 : 0 + 252 -> 252
Job 0 Operation 0 on Machine 6 : 0 + 258 -> 258
Job 4 Operation 0 on Machine 1 : 66 + 87 -> 153
Job 6 Operation 1 on Machine 4 : 66 + 372 -> 438
Job 5 Operation 0 on Machine 0 : 78 + 229 -> 307
Job 8 Operation 1 on Machine 2 : 78 + 278 -> 356
Job 7 Operation 1 on Machine 1 : 252 + 123 -> 375
Job 3 Operation 0 on Machine 5 : 252 + 156 -> 408
Job 0 Operation 1 on Machine 3 : 278 + 1 -> 279
Job 4 Operation 1 on Machine 2 : 356 + 134 -> 490
Job 8 Operation 2 on Machine 3 : 356 + 340 -> 696
Job 7 Operation 2 on Machine 0 : 375 + 60 -> 435
Job 2 Operation 1 on Machine 5 : 408 + 416 -> 824
Job 6 Operation 2 on Machine 0 : 438 + 384 -> 822
Job 0 Operation 2 on Machine 4 : 438 + 110 -> 548
Job 0 Operation 3 on Machine 2 : 548 + 209 -> 757
Job 3 Operation 1 on Machine 4 : 548 + 131 -> 679
Job 3 Operation 2 on Machine 1 : 679 + 184 -> 863
Job 4 Operation 2 on Machine 4 : 679 + 356 -> 1035
Job 8 Operation 3 on Machine 6 : 696 + 121 -> 817
Job 0 Operation 4 on Machine 5 : 824 + 53 -> 877
Job 2 Operation 2 on Machine 1 : 863 + 245 -> 1108
Job 3 Operation 3 on Machine 2 : 863 + 128 -> 991
Job 0 Operation 5 on Machine 0 : 877 + 379 -> 1256
Job 1 Operation 0 on Machine 5 : 877 + 246 -> 1123
Job 7 Operation 3 on Machine 4 : 1035 + 355 -> 1390
Job 4 Operation 3 on Machine 6 : 1035 + 97 -> 1132
Job 1 Operation 1 on Machine 2 : 1123 + 290 -> 1413
Job 5 Operation 1 on Machine 5 : 1123 + 97 -> 1220
Job 8 Operation 4 on Machine 5 : 1220 + 408 -> 1628
Job 5 Operation 2 on Machine 6 : 1220 + 259 -> 1479
Job 2 Operation 3 on Machine 0 : 1256 + 229 -> 1485
Job 7 Operation 4 on Machine 3 : 1390 + 392 -> 1782
Job 1 Operation 2 on Machine 1 : 1413 + 396 -> 1809
Job 6 Operation 3 on Machine 2 : 1413 + 243 -> 1656
Job 5 Operation 3 on Machine 4 : 1479 + 116 -> 1595
Job 3 Operation 4 on Machine 0 : 1485 + 415 -> 1900
Job 2 Operation 4 on Machine 6 : 1485 + 312 -> 1797
Job 4 Operation 4 on Machine 5 : 1628 + 27 -> 1655
Job 7 Operation 5 on Machine 2 : 1782 + 376 -> 2158
Job 8 Operation 5 on Machine 1 : 1809 + 158 -> 1967
Job 1 Operation 3 on Machine 3 : 1809 + 2 -> 1811
Job 5 Operation 4 on Machine 3 : 1811 + 317 -> 2128
Job 1 Operation 4 on Machine 6 : 1811 + 76 -> 1887
Job 6 Operation 4 on Machine 6 : 1887 + 257 -> 2144
Job 1 Operation 5 on Machine 0 : 1900 + 378 -> 2278
Job 0 Operation 6 on Machine 1 : 1967 + 361 -> 2328
Job 8 Operation 6 on Machine 4 : 1967 + 247 -> 2214
Job 3 Operation 5 on Machine 3 : 2128 + 303 -> 2431
Job 6 Operation 5 on Machine 5 : 2144 + 301 -> 2445
Job 5 Operation 5 on Machine 2 : 2158 + 31 -> 2189
Job 2 Operation 5 on Machine 4 : 2214 + 103 -> 2317
Job 4 Operation 5 on Machine 0 : 2278 + 294 -> 2572
Job 2 Operation 6 on Machine 2 : 2317 + 100 -> 2417
Job 1 Operation 6 on Machine 4 : 2317 + 307 -> 2624
Job 5 Operation 6 on Machine 1 : 2328 + 24 -> 2352
Job 3 Operation 6 on Machine 6 : 2431 + 166 -> 2597
Job 6 Operation 6 on Machine 3 : 2445 + 30 -> 2475
Job 4 Operation 6 on Machine 3 : 2572 + 116 -> 2688
Job 7 Operation 6 on Machine 6 : 2597 + 81 -> 2678
Makespan: 2688.0, as it is the maximum end completion time of Operation 6
| null |
|
10 | 7 |
Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 103 mins.
Operation 1 on Machine 2 duration 73 mins.
Operation 2 on Machine 0 duration 13 mins.
Operation 3 on Machine 6 duration 95 mins.
Operation 4 on Machine 5 duration 4 mins.
Operation 5 on Machine 4 duration 59 mins.
Operation 6 on Machine 3 duration 102 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 22 mins.
Operation 1 on Machine 5 duration 76 mins.
Operation 2 on Machine 4 duration 53 mins.
Operation 3 on Machine 6 duration 14 mins.
Operation 4 on Machine 1 duration 77 mins.
Operation 5 on Machine 0 duration 103 mins.
Operation 6 on Machine 2 duration 45 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 117 mins.
Operation 1 on Machine 6 duration 78 mins.
Operation 2 on Machine 3 duration 70 mins.
Operation 3 on Machine 1 duration 86 mins.
Operation 4 on Machine 4 duration 111 mins.
Operation 5 on Machine 0 duration 39 mins.
Operation 6 on Machine 5 duration 103 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 107 mins.
Operation 1 on Machine 2 duration 78 mins.
Operation 2 on Machine 5 duration 113 mins.
Operation 3 on Machine 4 duration 27 mins.
Operation 4 on Machine 0 duration 96 mins.
Operation 5 on Machine 3 duration 48 mins.
Operation 6 on Machine 1 duration 75 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 99 mins.
Operation 1 on Machine 3 duration 105 mins.
Operation 2 on Machine 5 duration 103 mins.
Operation 3 on Machine 4 duration 77 mins.
Operation 4 on Machine 6 duration 56 mins.
Operation 5 on Machine 1 duration 102 mins.
Operation 6 on Machine 2 duration 24 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 99 mins.
Operation 1 on Machine 5 duration 89 mins.
Operation 2 on Machine 6 duration 121 mins.
Operation 3 on Machine 0 duration 97 mins.
Operation 4 on Machine 2 duration 113 mins.
Operation 5 on Machine 1 duration 82 mins.
Operation 6 on Machine 3 duration 53 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 15 mins.
Operation 1 on Machine 0 duration 116 mins.
Operation 2 on Machine 2 duration 24 mins.
Operation 3 on Machine 6 duration 86 mins.
Operation 4 on Machine 1 duration 64 mins.
Operation 5 on Machine 3 duration 71 mins.
Operation 6 on Machine 4 duration 102 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 4 mins.
Operation 1 on Machine 2 duration 82 mins.
Operation 2 on Machine 1 duration 3 mins.
Operation 3 on Machine 0 duration 90 mins.
Operation 4 on Machine 3 duration 4 mins.
Operation 5 on Machine 4 duration 117 mins.
Operation 6 on Machine 6 duration 84 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 101 mins.
Operation 1 on Machine 5 duration 52 mins.
Operation 2 on Machine 2 duration 95 mins.
Operation 3 on Machine 1 duration 23 mins.
Operation 4 on Machine 0 duration 113 mins.
Operation 5 on Machine 4 duration 113 mins.
Operation 6 on Machine 6 duration 110 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 121 mins.
Operation 1 on Machine 1 duration 37 mins.
Operation 2 on Machine 6 duration 84 mins.
Operation 3 on Machine 2 duration 19 mins.
Operation 4 on Machine 0 duration 107 mins.
Operation 5 on Machine 5 duration 39 mins.
Operation 6 on Machine 3 duration 51 mins.
| null |
Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 99 mins.
Job 6 Operation 1 duration 116 mins.
Job 0 Operation 2 duration 13 mins.
Job 5 Operation 3 duration 97 mins.
Job 7 Operation 3 duration 90 mins.
Job 3 Operation 4 duration 96 mins.
Job 8 Operation 4 duration 113 mins.
Job 9 Operation 4 duration 107 mins.
Job 1 Operation 5 duration 103 mins.
Job 2 Operation 5 duration 39 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 103 mins.
Job 9 Operation 1 duration 37 mins.
Job 7 Operation 2 duration 3 mins.
Job 2 Operation 3 duration 86 mins.
Job 8 Operation 3 duration 23 mins.
Job 1 Operation 4 duration 77 mins.
Job 6 Operation 4 duration 64 mins.
Job 4 Operation 5 duration 102 mins.
Job 5 Operation 5 duration 82 mins.
Job 3 Operation 6 duration 75 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 117 mins.
Job 0 Operation 1 duration 73 mins.
Job 3 Operation 1 duration 78 mins.
Job 7 Operation 1 duration 82 mins.
Job 6 Operation 2 duration 24 mins.
Job 8 Operation 2 duration 95 mins.
Job 9 Operation 3 duration 19 mins.
Job 5 Operation 4 duration 113 mins.
Job 1 Operation 6 duration 45 mins.
Job 4 Operation 6 duration 24 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 22 mins.
Job 8 Operation 0 duration 101 mins.
Job 4 Operation 1 duration 105 mins.
Job 2 Operation 2 duration 70 mins.
Job 7 Operation 4 duration 4 mins.
Job 3 Operation 5 duration 48 mins.
Job 6 Operation 5 duration 71 mins.
Job 0 Operation 6 duration 102 mins.
Job 5 Operation 6 duration 53 mins.
Job 9 Operation 6 duration 51 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 99 mins.
Job 9 Operation 0 duration 121 mins.
Job 1 Operation 2 duration 53 mins.
Job 3 Operation 3 duration 27 mins.
Job 4 Operation 3 duration 77 mins.
Job 2 Operation 4 duration 111 mins.
Job 0 Operation 5 duration 59 mins.
Job 7 Operation 5 duration 117 mins.
Job 8 Operation 5 duration 113 mins.
Job 6 Operation 6 duration 102 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 15 mins.
Job 7 Operation 0 duration 4 mins.
Job 1 Operation 1 duration 76 mins.
Job 5 Operation 1 duration 89 mins.
Job 8 Operation 1 duration 52 mins.
Job 3 Operation 2 duration 113 mins.
Job 4 Operation 2 duration 103 mins.
Job 0 Operation 4 duration 4 mins.
Job 9 Operation 5 duration 39 mins.
Job 2 Operation 6 duration 103 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 107 mins.
Job 2 Operation 1 duration 78 mins.
Job 5 Operation 2 duration 121 mins.
Job 9 Operation 2 duration 84 mins.
Job 0 Operation 3 duration 95 mins.
Job 1 Operation 3 duration 14 mins.
Job 6 Operation 3 duration 86 mins.
Job 4 Operation 4 duration 56 mins.
Job 7 Operation 6 duration 84 mins.
Job 8 Operation 6 duration 110 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 99 -> 99
Job 0 Operation 0 on Machine 1 : 0 + 103 -> 103
Job 2 Operation 0 on Machine 2 : 0 + 117 -> 117
Job 1 Operation 0 on Machine 3 : 0 + 22 -> 22
Job 5 Operation 0 on Machine 4 : 0 + 99 -> 99
Job 6 Operation 0 on Machine 5 : 0 + 15 -> 15
Job 3 Operation 0 on Machine 6 : 0 + 107 -> 107
Job 7 Operation 0 on Machine 5 : 15 + 4 -> 19
Job 8 Operation 0 on Machine 3 : 22 + 101 -> 123
Job 1 Operation 1 on Machine 5 : 22 + 76 -> 98
Job 6 Operation 1 on Machine 0 : 99 + 116 -> 215
Job 1 Operation 2 on Machine 4 : 99 + 53 -> 152
Job 5 Operation 1 on Machine 5 : 99 + 89 -> 188
Job 7 Operation 1 on Machine 2 : 117 + 82 -> 199
Job 2 Operation 1 on Machine 6 : 117 + 78 -> 195
Job 4 Operation 1 on Machine 3 : 123 + 105 -> 228
Job 9 Operation 0 on Machine 4 : 152 + 121 -> 273
Job 8 Operation 1 on Machine 5 : 188 + 52 -> 240
Job 5 Operation 2 on Machine 6 : 195 + 121 -> 316
Job 7 Operation 2 on Machine 1 : 199 + 3 -> 202
Job 0 Operation 1 on Machine 2 : 199 + 73 -> 272
Job 7 Operation 3 on Machine 0 : 215 + 90 -> 305
Job 2 Operation 2 on Machine 3 : 228 + 70 -> 298
Job 4 Operation 2 on Machine 5 : 240 + 103 -> 343
Job 8 Operation 2 on Machine 2 : 272 + 95 -> 367
Job 9 Operation 1 on Machine 1 : 273 + 37 -> 310
Job 0 Operation 2 on Machine 0 : 305 + 13 -> 318
Job 7 Operation 4 on Machine 3 : 305 + 4 -> 309
Job 7 Operation 5 on Machine 4 : 309 + 117 -> 426
Job 2 Operation 3 on Machine 1 : 310 + 86 -> 396
Job 5 Operation 3 on Machine 0 : 318 + 97 -> 415
Job 0 Operation 3 on Machine 6 : 318 + 95 -> 413
Job 3 Operation 1 on Machine 2 : 367 + 78 -> 445
Job 8 Operation 3 on Machine 1 : 396 + 23 -> 419
Job 0 Operation 4 on Machine 5 : 413 + 4 -> 417
Job 9 Operation 2 on Machine 6 : 413 + 84 -> 497
Job 8 Operation 4 on Machine 0 : 419 + 113 -> 532
Job 0 Operation 5 on Machine 4 : 426 + 59 -> 485
Job 6 Operation 2 on Machine 2 : 445 + 24 -> 469
Job 3 Operation 2 on Machine 5 : 445 + 113 -> 558
Job 0 Operation 6 on Machine 3 : 485 + 102 -> 587
Job 4 Operation 3 on Machine 4 : 485 + 77 -> 562
Job 9 Operation 3 on Machine 2 : 497 + 19 -> 516
Job 1 Operation 3 on Machine 6 : 497 + 14 -> 511
Job 1 Operation 4 on Machine 1 : 511 + 77 -> 588
Job 6 Operation 3 on Machine 6 : 511 + 86 -> 597
Job 5 Operation 4 on Machine 2 : 516 + 113 -> 629
Job 9 Operation 4 on Machine 0 : 532 + 107 -> 639
Job 3 Operation 3 on Machine 4 : 562 + 27 -> 589
Job 2 Operation 4 on Machine 4 : 589 + 111 -> 700
Job 6 Operation 4 on Machine 1 : 597 + 64 -> 661
Job 7 Operation 6 on Machine 6 : 597 + 84 -> 681
Job 3 Operation 4 on Machine 0 : 639 + 96 -> 735
Job 9 Operation 5 on Machine 5 : 639 + 39 -> 678
Job 5 Operation 5 on Machine 1 : 661 + 82 -> 743
Job 9 Operation 6 on Machine 3 : 678 + 51 -> 729
Job 4 Operation 4 on Machine 6 : 681 + 56 -> 737
Job 8 Operation 5 on Machine 4 : 700 + 113 -> 813
Job 6 Operation 5 on Machine 3 : 729 + 71 -> 800
Job 2 Operation 5 on Machine 0 : 735 + 39 -> 774
Job 4 Operation 5 on Machine 1 : 743 + 102 -> 845
Job 1 Operation 5 on Machine 0 : 774 + 103 -> 877
Job 2 Operation 6 on Machine 5 : 774 + 103 -> 877
Job 3 Operation 5 on Machine 3 : 800 + 48 -> 848
Job 6 Operation 6 on Machine 4 : 813 + 102 -> 915
Job 8 Operation 6 on Machine 6 : 813 + 110 -> 923
Job 4 Operation 6 on Machine 2 : 845 + 24 -> 869
Job 3 Operation 6 on Machine 1 : 848 + 75 -> 923
Job 5 Operation 6 on Machine 3 : 848 + 53 -> 901
Job 1 Operation 6 on Machine 2 : 877 + 45 -> 922
Makespan: 923.0, as it is the maximum end completion time of Operation 6
| null |
|
3 | 2 |
Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 39 mins.
Operation 1 on Machine 1 duration 233 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 297 mins.
Operation 1 on Machine 0 duration 90 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 151 mins.
Operation 1 on Machine 0 duration 145 mins.
| null |
Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 39 mins.
Job 1 Operation 1 duration 90 mins.
Job 2 Operation 1 duration 145 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 297 mins.
Job 2 Operation 0 duration 151 mins.
Job 0 Operation 1 duration 233 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 39 -> 39
Job 2 Operation 0 on Machine 1 : 0 + 151 -> 151
Job 2 Operation 1 on Machine 0 : 151 + 145 -> 296
Job 1 Operation 0 on Machine 1 : 151 + 297 -> 448
Job 1 Operation 1 on Machine 0 : 448 + 90 -> 538
Job 0 Operation 1 on Machine 1 : 448 + 233 -> 681
Makespan: 681.0, as it is the maximum end completion time of Operation 1
| null |
|
6 | 2 |
Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 64 mins.
Operation 1 on Machine 0 duration 39 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 57 mins.
Operation 1 on Machine 1 duration 29 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 13 mins.
Operation 1 on Machine 1 duration 19 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 68 mins.
Operation 1 on Machine 0 duration 30 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 41 mins.
Operation 1 on Machine 0 duration 59 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 11 mins.
Operation 1 on Machine 1 duration 14 mins.
| null |
Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 57 mins.
Job 2 Operation 0 duration 13 mins.
Job 5 Operation 0 duration 11 mins.
Job 0 Operation 1 duration 39 mins.
Job 3 Operation 1 duration 30 mins.
Job 4 Operation 1 duration 59 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 64 mins.
Job 3 Operation 0 duration 68 mins.
Job 4 Operation 0 duration 41 mins.
Job 1 Operation 1 duration 29 mins.
Job 2 Operation 1 duration 19 mins.
Job 5 Operation 1 duration 14 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 11 -> 11
Job 4 Operation 0 on Machine 1 : 0 + 41 -> 41
Job 2 Operation 0 on Machine 0 : 11 + 13 -> 24
Job 4 Operation 1 on Machine 0 : 41 + 59 -> 100
Job 2 Operation 1 on Machine 1 : 41 + 19 -> 60
Job 0 Operation 0 on Machine 1 : 60 + 64 -> 124
Job 1 Operation 0 on Machine 0 : 100 + 57 -> 157
Job 3 Operation 0 on Machine 1 : 124 + 68 -> 192
Job 0 Operation 1 on Machine 0 : 157 + 39 -> 196
Job 5 Operation 1 on Machine 1 : 192 + 14 -> 206
Job 3 Operation 1 on Machine 0 : 196 + 30 -> 226
Job 1 Operation 1 on Machine 1 : 206 + 29 -> 235
Makespan: 235.0, as it is the maximum end completion time of Operation 1
| null |
|
10 | 10 |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 17 mins.
Operation 1 on Machine 4 duration 53 mins.
Operation 2 on Machine 0 duration 295 mins.
Operation 3 on Machine 8 duration 256 mins.
Operation 4 on Machine 1 duration 89 mins.
Operation 5 on Machine 6 duration 142 mins.
Operation 6 on Machine 3 duration 365 mins.
Operation 7 on Machine 7 duration 283 mins.
Operation 8 on Machine 2 duration 236 mins.
Operation 9 on Machine 9 duration 96 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 73 mins.
Operation 1 on Machine 0 duration 145 mins.
Operation 2 on Machine 6 duration 107 mins.
Operation 3 on Machine 5 duration 134 mins.
Operation 4 on Machine 2 duration 99 mins.
Operation 5 on Machine 1 duration 105 mins.
Operation 6 on Machine 8 duration 209 mins.
Operation 7 on Machine 3 duration 107 mins.
Operation 8 on Machine 7 duration 370 mins.
Operation 9 on Machine 9 duration 90 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 9 duration 350 mins.
Operation 1 on Machine 4 duration 272 mins.
Operation 2 on Machine 1 duration 149 mins.
Operation 3 on Machine 6 duration 130 mins.
Operation 4 on Machine 2 duration 80 mins.
Operation 5 on Machine 0 duration 27 mins.
Operation 6 on Machine 7 duration 169 mins.
Operation 7 on Machine 8 duration 88 mins.
Operation 8 on Machine 3 duration 127 mins.
Operation 9 on Machine 5 duration 182 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 371 mins.
Operation 1 on Machine 7 duration 87 mins.
Operation 2 on Machine 3 duration 144 mins.
Operation 3 on Machine 4 duration 251 mins.
Operation 4 on Machine 9 duration 139 mins.
Operation 5 on Machine 0 duration 41 mins.
Operation 6 on Machine 1 duration 200 mins.
Operation 7 on Machine 2 duration 153 mins.
Operation 8 on Machine 8 duration 8 mins.
Operation 9 on Machine 6 duration 25 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 326 mins.
Operation 1 on Machine 7 duration 365 mins.
Operation 2 on Machine 9 duration 212 mins.
Operation 3 on Machine 8 duration 68 mins.
Operation 4 on Machine 5 duration 284 mins.
Operation 5 on Machine 2 duration 334 mins.
Operation 6 on Machine 6 duration 292 mins.
Operation 7 on Machine 4 duration 13 mins.
Operation 8 on Machine 0 duration 303 mins.
Operation 9 on Machine 1 duration 27 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 226 mins.
Operation 1 on Machine 8 duration 203 mins.
Operation 2 on Machine 6 duration 129 mins.
Operation 3 on Machine 9 duration 263 mins.
Operation 4 on Machine 4 duration 281 mins.
Operation 5 on Machine 0 duration 308 mins.
Operation 6 on Machine 1 duration 183 mins.
Operation 7 on Machine 3 duration 92 mins.
Operation 8 on Machine 7 duration 354 mins.
Operation 9 on Machine 2 duration 262 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 367 mins.
Operation 1 on Machine 9 duration 148 mins.
Operation 2 on Machine 3 duration 235 mins.
Operation 3 on Machine 6 duration 259 mins.
Operation 4 on Machine 7 duration 5 mins.
Operation 5 on Machine 1 duration 35 mins.
Operation 6 on Machine 5 duration 237 mins.
Operation 7 on Machine 8 duration 26 mins.
Operation 8 on Machine 4 duration 32 mins.
Operation 9 on Machine 2 duration 66 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 7 duration 35 mins.
Operation 1 on Machine 6 duration 306 mins.
Operation 2 on Machine 9 duration 219 mins.
Operation 3 on Machine 2 duration 30 mins.
Operation 4 on Machine 0 duration 372 mins.
Operation 5 on Machine 5 duration 143 mins.
Operation 6 on Machine 4 duration 329 mins.
Operation 7 on Machine 3 duration 108 mins.
Operation 8 on Machine 1 duration 165 mins.
Operation 9 on Machine 8 duration 105 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 7 duration 273 mins.
Operation 1 on Machine 6 duration 180 mins.
Operation 2 on Machine 2 duration 190 mins.
Operation 3 on Machine 9 duration 47 mins.
Operation 4 on Machine 4 duration 213 mins.
Operation 5 on Machine 5 duration 204 mins.
Operation 6 on Machine 3 duration 370 mins.
Operation 7 on Machine 8 duration 370 mins.
Operation 8 on Machine 0 duration 151 mins.
Operation 9 on Machine 1 duration 218 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 7 duration 219 mins.
Operation 1 on Machine 9 duration 197 mins.
Operation 2 on Machine 4 duration 98 mins.
Operation 3 on Machine 0 duration 323 mins.
Operation 4 on Machine 8 duration 107 mins.
Operation 5 on Machine 3 duration 104 mins.
Operation 6 on Machine 5 duration 192 mins.
Operation 7 on Machine 2 duration 177 mins.
Operation 8 on Machine 6 duration 88 mins.
Operation 9 on Machine 1 duration 246 mins.
| null |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 367 mins.
Job 1 Operation 1 duration 145 mins.
Job 0 Operation 2 duration 295 mins.
Job 9 Operation 3 duration 323 mins.
Job 7 Operation 4 duration 372 mins.
Job 2 Operation 5 duration 27 mins.
Job 3 Operation 5 duration 41 mins.
Job 5 Operation 5 duration 308 mins.
Job 4 Operation 8 duration 303 mins.
Job 8 Operation 8 duration 151 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 2 duration 149 mins.
Job 0 Operation 4 duration 89 mins.
Job 1 Operation 5 duration 105 mins.
Job 6 Operation 5 duration 35 mins.
Job 3 Operation 6 duration 200 mins.
Job 5 Operation 6 duration 183 mins.
Job 7 Operation 8 duration 165 mins.
Job 4 Operation 9 duration 27 mins.
Job 8 Operation 9 duration 218 mins.
Job 9 Operation 9 duration 246 mins.
Machine 2 is used for the following Operations:
Job 8 Operation 2 duration 190 mins.
Job 7 Operation 3 duration 30 mins.
Job 1 Operation 4 duration 99 mins.
Job 2 Operation 4 duration 80 mins.
Job 4 Operation 5 duration 334 mins.
Job 3 Operation 7 duration 153 mins.
Job 9 Operation 7 duration 177 mins.
Job 0 Operation 8 duration 236 mins.
Job 5 Operation 9 duration 262 mins.
Job 6 Operation 9 duration 66 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 326 mins.
Job 3 Operation 2 duration 144 mins.
Job 6 Operation 2 duration 235 mins.
Job 9 Operation 5 duration 104 mins.
Job 0 Operation 6 duration 365 mins.
Job 8 Operation 6 duration 370 mins.
Job 1 Operation 7 duration 107 mins.
Job 5 Operation 7 duration 92 mins.
Job 7 Operation 7 duration 108 mins.
Job 2 Operation 8 duration 127 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 73 mins.
Job 0 Operation 1 duration 53 mins.
Job 2 Operation 1 duration 272 mins.
Job 9 Operation 2 duration 98 mins.
Job 3 Operation 3 duration 251 mins.
Job 5 Operation 4 duration 281 mins.
Job 8 Operation 4 duration 213 mins.
Job 7 Operation 6 duration 329 mins.
Job 4 Operation 7 duration 13 mins.
Job 6 Operation 8 duration 32 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 17 mins.
Job 3 Operation 0 duration 371 mins.
Job 5 Operation 0 duration 226 mins.
Job 1 Operation 3 duration 134 mins.
Job 4 Operation 4 duration 284 mins.
Job 7 Operation 5 duration 143 mins.
Job 8 Operation 5 duration 204 mins.
Job 6 Operation 6 duration 237 mins.
Job 9 Operation 6 duration 192 mins.
Job 2 Operation 9 duration 182 mins.
Machine 6 is used for the following Operations:
Job 7 Operation 1 duration 306 mins.
Job 8 Operation 1 duration 180 mins.
Job 1 Operation 2 duration 107 mins.
Job 5 Operation 2 duration 129 mins.
Job 2 Operation 3 duration 130 mins.
Job 6 Operation 3 duration 259 mins.
Job 0 Operation 5 duration 142 mins.
Job 4 Operation 6 duration 292 mins.
Job 9 Operation 8 duration 88 mins.
Job 3 Operation 9 duration 25 mins.
Machine 7 is used for the following Operations:
Job 7 Operation 0 duration 35 mins.
Job 8 Operation 0 duration 273 mins.
Job 9 Operation 0 duration 219 mins.
Job 3 Operation 1 duration 87 mins.
Job 4 Operation 1 duration 365 mins.
Job 6 Operation 4 duration 5 mins.
Job 2 Operation 6 duration 169 mins.
Job 0 Operation 7 duration 283 mins.
Job 1 Operation 8 duration 370 mins.
Job 5 Operation 8 duration 354 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 1 duration 203 mins.
Job 0 Operation 3 duration 256 mins.
Job 4 Operation 3 duration 68 mins.
Job 9 Operation 4 duration 107 mins.
Job 1 Operation 6 duration 209 mins.
Job 2 Operation 7 duration 88 mins.
Job 6 Operation 7 duration 26 mins.
Job 8 Operation 7 duration 370 mins.
Job 3 Operation 8 duration 8 mins.
Job 7 Operation 9 duration 105 mins.
Machine 9 is used for the following Operations:
Job 2 Operation 0 duration 350 mins.
Job 6 Operation 1 duration 148 mins.
Job 9 Operation 1 duration 197 mins.
Job 4 Operation 2 duration 212 mins.
Job 7 Operation 2 duration 219 mins.
Job 5 Operation 3 duration 263 mins.
Job 8 Operation 3 duration 47 mins.
Job 3 Operation 4 duration 139 mins.
Job 0 Operation 9 duration 96 mins.
Job 1 Operation 9 duration 90 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 3 : 0 + 326 -> 326
Job 0 Operation 0 on Machine 5 : 0 + 17 -> 17
Job 7 Operation 0 on Machine 7 : 0 + 35 -> 35
Job 2 Operation 0 on Machine 9 : 0 + 350 -> 350
Job 0 Operation 1 on Machine 4 : 17 + 53 -> 70
Job 3 Operation 0 on Machine 5 : 17 + 371 -> 388
Job 7 Operation 1 on Machine 6 : 35 + 306 -> 341
Job 8 Operation 0 on Machine 7 : 35 + 273 -> 308
Job 0 Operation 2 on Machine 0 : 70 + 295 -> 365
Job 1 Operation 0 on Machine 4 : 70 + 73 -> 143
Job 9 Operation 0 on Machine 7 : 308 + 219 -> 527
Job 8 Operation 1 on Machine 6 : 341 + 180 -> 521
Job 2 Operation 1 on Machine 4 : 350 + 272 -> 622
Job 7 Operation 2 on Machine 9 : 350 + 219 -> 569
Job 1 Operation 1 on Machine 0 : 365 + 145 -> 510
Job 0 Operation 3 on Machine 8 : 365 + 256 -> 621
Job 5 Operation 0 on Machine 5 : 388 + 226 -> 614
Job 6 Operation 0 on Machine 0 : 510 + 367 -> 877
Job 8 Operation 2 on Machine 2 : 521 + 190 -> 711
Job 1 Operation 2 on Machine 6 : 521 + 107 -> 628
Job 3 Operation 1 on Machine 7 : 527 + 87 -> 614
Job 9 Operation 1 on Machine 9 : 569 + 197 -> 766
Job 3 Operation 2 on Machine 3 : 614 + 144 -> 758
Job 4 Operation 1 on Machine 7 : 614 + 365 -> 979
Job 0 Operation 4 on Machine 1 : 621 + 89 -> 710
Job 5 Operation 1 on Machine 8 : 621 + 203 -> 824
Job 1 Operation 3 on Machine 5 : 628 + 134 -> 762
Job 2 Operation 2 on Machine 1 : 710 + 149 -> 859
Job 0 Operation 5 on Machine 6 : 710 + 142 -> 852
Job 7 Operation 3 on Machine 2 : 711 + 30 -> 741
Job 1 Operation 4 on Machine 2 : 762 + 99 -> 861
Job 9 Operation 2 on Machine 4 : 766 + 98 -> 864
Job 8 Operation 3 on Machine 9 : 766 + 47 -> 813
Job 0 Operation 6 on Machine 3 : 852 + 365 -> 1217
Job 5 Operation 2 on Machine 6 : 852 + 129 -> 981
Job 1 Operation 5 on Machine 1 : 861 + 105 -> 966
Job 8 Operation 4 on Machine 4 : 864 + 213 -> 1077
Job 7 Operation 4 on Machine 0 : 877 + 372 -> 1249
Job 6 Operation 1 on Machine 9 : 877 + 148 -> 1025
Job 1 Operation 6 on Machine 8 : 966 + 209 -> 1175
Job 2 Operation 3 on Machine 6 : 981 + 130 -> 1111
Job 5 Operation 3 on Machine 9 : 1025 + 263 -> 1288
Job 3 Operation 3 on Machine 4 : 1077 + 251 -> 1328
Job 8 Operation 5 on Machine 5 : 1077 + 204 -> 1281
Job 2 Operation 4 on Machine 2 : 1111 + 80 -> 1191
Job 1 Operation 7 on Machine 3 : 1217 + 107 -> 1324
Job 0 Operation 7 on Machine 7 : 1217 + 283 -> 1500
Job 9 Operation 3 on Machine 0 : 1249 + 323 -> 1572
Job 7 Operation 5 on Machine 5 : 1281 + 143 -> 1424
Job 4 Operation 2 on Machine 9 : 1288 + 212 -> 1500
Job 8 Operation 6 on Machine 3 : 1324 + 370 -> 1694
Job 5 Operation 4 on Machine 4 : 1328 + 281 -> 1609
Job 0 Operation 8 on Machine 2 : 1500 + 236 -> 1736
Job 4 Operation 3 on Machine 8 : 1500 + 68 -> 1568
Job 3 Operation 4 on Machine 9 : 1500 + 139 -> 1639
Job 4 Operation 4 on Machine 5 : 1568 + 284 -> 1852
Job 2 Operation 5 on Machine 0 : 1572 + 27 -> 1599
Job 9 Operation 4 on Machine 8 : 1572 + 107 -> 1679
Job 2 Operation 6 on Machine 7 : 1599 + 169 -> 1768
Job 7 Operation 6 on Machine 4 : 1609 + 329 -> 1938
Job 3 Operation 5 on Machine 0 : 1639 + 41 -> 1680
Job 5 Operation 5 on Machine 0 : 1680 + 308 -> 1988
Job 3 Operation 6 on Machine 1 : 1680 + 200 -> 1880
Job 6 Operation 2 on Machine 3 : 1694 + 235 -> 1929
Job 8 Operation 7 on Machine 8 : 1694 + 370 -> 2064
Job 0 Operation 9 on Machine 9 : 1736 + 96 -> 1832
Job 1 Operation 8 on Machine 7 : 1768 + 370 -> 2138
Job 4 Operation 5 on Machine 2 : 1852 + 334 -> 2186
Job 9 Operation 5 on Machine 3 : 1929 + 104 -> 2033
Job 6 Operation 3 on Machine 6 : 1929 + 259 -> 2188
Job 5 Operation 6 on Machine 1 : 1988 + 183 -> 2171
Job 9 Operation 6 on Machine 5 : 2033 + 192 -> 2225
Job 8 Operation 8 on Machine 0 : 2064 + 151 -> 2215
Job 2 Operation 7 on Machine 8 : 2064 + 88 -> 2152
Job 1 Operation 9 on Machine 9 : 2138 + 90 -> 2228
Job 5 Operation 7 on Machine 3 : 2171 + 92 -> 2263
Job 3 Operation 7 on Machine 2 : 2186 + 153 -> 2339
Job 4 Operation 6 on Machine 6 : 2188 + 292 -> 2480
Job 6 Operation 4 on Machine 7 : 2188 + 5 -> 2193
Job 6 Operation 5 on Machine 1 : 2193 + 35 -> 2228
Job 8 Operation 9 on Machine 1 : 2228 + 218 -> 2446
Job 6 Operation 6 on Machine 5 : 2228 + 237 -> 2465
Job 7 Operation 7 on Machine 3 : 2263 + 108 -> 2371
Job 5 Operation 8 on Machine 7 : 2263 + 354 -> 2617
Job 9 Operation 7 on Machine 2 : 2339 + 177 -> 2516
Job 3 Operation 8 on Machine 8 : 2339 + 8 -> 2347
Job 2 Operation 8 on Machine 3 : 2371 + 127 -> 2498
Job 7 Operation 8 on Machine 1 : 2446 + 165 -> 2611
Job 6 Operation 7 on Machine 8 : 2465 + 26 -> 2491
Job 6 Operation 8 on Machine 4 : 2491 + 32 -> 2523
Job 2 Operation 9 on Machine 5 : 2498 + 182 -> 2680
Job 9 Operation 8 on Machine 6 : 2516 + 88 -> 2604
Job 6 Operation 9 on Machine 2 : 2523 + 66 -> 2589
Job 4 Operation 7 on Machine 4 : 2523 + 13 -> 2536
Job 4 Operation 8 on Machine 0 : 2536 + 303 -> 2839
Job 3 Operation 9 on Machine 6 : 2604 + 25 -> 2629
Job 9 Operation 9 on Machine 1 : 2611 + 246 -> 2857
Job 7 Operation 9 on Machine 8 : 2611 + 105 -> 2716
Job 5 Operation 9 on Machine 2 : 2617 + 262 -> 2879
Job 4 Operation 9 on Machine 1 : 2857 + 27 -> 2884
Makespan: 2884.0, as it is the maximum end completion time of Operation 9
| null |
|
6 | 2 |
Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 322 mins.
Operation 1 on Machine 0 duration 308 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 138 mins.
Operation 1 on Machine 1 duration 214 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 205 mins.
Operation 1 on Machine 0 duration 49 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 344 mins.
Operation 1 on Machine 1 duration 47 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 276 mins.
Operation 1 on Machine 0 duration 311 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 83 mins.
Operation 1 on Machine 1 duration 18 mins.
| null |
Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 138 mins.
Job 3 Operation 0 duration 344 mins.
Job 5 Operation 0 duration 83 mins.
Job 0 Operation 1 duration 308 mins.
Job 2 Operation 1 duration 49 mins.
Job 4 Operation 1 duration 311 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 322 mins.
Job 2 Operation 0 duration 205 mins.
Job 4 Operation 0 duration 276 mins.
Job 1 Operation 1 duration 214 mins.
Job 3 Operation 1 duration 47 mins.
Job 5 Operation 1 duration 18 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 83 -> 83
Job 4 Operation 0 on Machine 1 : 0 + 276 -> 276
Job 3 Operation 0 on Machine 0 : 83 + 344 -> 427
Job 5 Operation 1 on Machine 1 : 276 + 18 -> 294
Job 4 Operation 1 on Machine 0 : 427 + 311 -> 738
Job 3 Operation 1 on Machine 1 : 427 + 47 -> 474
Job 0 Operation 0 on Machine 1 : 474 + 322 -> 796
Job 1 Operation 0 on Machine 0 : 738 + 138 -> 876
Job 2 Operation 0 on Machine 1 : 796 + 205 -> 1001
Job 0 Operation 1 on Machine 0 : 876 + 308 -> 1184
Job 1 Operation 1 on Machine 1 : 1001 + 214 -> 1215
Job 2 Operation 1 on Machine 0 : 1184 + 49 -> 1233
Makespan: 1233.0, as it is the maximum end completion time of Operation 1
| null |
|
9 | 8 |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 170 mins.
Operation 1 on Machine 1 duration 19 mins.
Operation 2 on Machine 6 duration 103 mins.
Operation 3 on Machine 2 duration 190 mins.
Operation 4 on Machine 7 duration 99 mins.
Operation 5 on Machine 5 duration 197 mins.
Operation 6 on Machine 3 duration 96 mins.
Operation 7 on Machine 4 duration 227 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 84 mins.
Operation 1 on Machine 4 duration 156 mins.
Operation 2 on Machine 5 duration 6 mins.
Operation 3 on Machine 6 duration 107 mins.
Operation 4 on Machine 0 duration 102 mins.
Operation 5 on Machine 7 duration 152 mins.
Operation 6 on Machine 2 duration 123 mins.
Operation 7 on Machine 1 duration 111 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 202 mins.
Operation 1 on Machine 2 duration 64 mins.
Operation 2 on Machine 0 duration 125 mins.
Operation 3 on Machine 7 duration 86 mins.
Operation 4 on Machine 6 duration 167 mins.
Operation 5 on Machine 5 duration 107 mins.
Operation 6 on Machine 4 duration 50 mins.
Operation 7 on Machine 1 duration 107 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 7 duration 136 mins.
Operation 1 on Machine 4 duration 25 mins.
Operation 2 on Machine 5 duration 141 mins.
Operation 3 on Machine 0 duration 283 mins.
Operation 4 on Machine 1 duration 206 mins.
Operation 5 on Machine 2 duration 281 mins.
Operation 6 on Machine 6 duration 184 mins.
Operation 7 on Machine 3 duration 38 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 7 duration 215 mins.
Operation 2 on Machine 2 duration 243 mins.
Operation 3 on Machine 6 duration 170 mins.
Operation 4 on Machine 0 duration 109 mins.
Operation 5 on Machine 4 duration 186 mins.
Operation 6 on Machine 5 duration 201 mins.
Operation 7 on Machine 3 duration 206 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 28 mins.
Operation 1 on Machine 7 duration 39 mins.
Operation 2 on Machine 5 duration 72 mins.
Operation 3 on Machine 0 duration 272 mins.
Operation 4 on Machine 6 duration 153 mins.
Operation 5 on Machine 4 duration 247 mins.
Operation 6 on Machine 3 duration 6 mins.
Operation 7 on Machine 2 duration 193 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 29 mins.
Operation 1 on Machine 1 duration 249 mins.
Operation 2 on Machine 2 duration 109 mins.
Operation 3 on Machine 7 duration 190 mins.
Operation 4 on Machine 4 duration 30 mins.
Operation 5 on Machine 6 duration 282 mins.
Operation 6 on Machine 3 duration 122 mins.
Operation 7 on Machine 5 duration 214 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 1 mins.
Operation 1 on Machine 0 duration 116 mins.
Operation 2 on Machine 6 duration 130 mins.
Operation 3 on Machine 4 duration 17 mins.
Operation 4 on Machine 5 duration 189 mins.
Operation 5 on Machine 7 duration 57 mins.
Operation 6 on Machine 2 duration 79 mins.
Operation 7 on Machine 1 duration 10 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 237 mins.
Operation 1 on Machine 0 duration 267 mins.
Operation 2 on Machine 6 duration 81 mins.
Operation 3 on Machine 5 duration 155 mins.
Operation 4 on Machine 4 duration 197 mins.
Operation 5 on Machine 1 duration 268 mins.
Operation 6 on Machine 7 duration 185 mins.
Operation 7 on Machine 3 duration 189 mins.
| null |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 170 mins.
Job 6 Operation 0 duration 29 mins.
Job 7 Operation 1 duration 116 mins.
Job 8 Operation 1 duration 267 mins.
Job 2 Operation 2 duration 125 mins.
Job 3 Operation 3 duration 283 mins.
Job 5 Operation 3 duration 272 mins.
Job 1 Operation 4 duration 102 mins.
Job 4 Operation 4 duration 109 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 3 mins.
Job 5 Operation 0 duration 28 mins.
Job 0 Operation 1 duration 19 mins.
Job 6 Operation 1 duration 249 mins.
Job 3 Operation 4 duration 206 mins.
Job 8 Operation 5 duration 268 mins.
Job 1 Operation 7 duration 111 mins.
Job 2 Operation 7 duration 107 mins.
Job 7 Operation 7 duration 10 mins.
Machine 2 is used for the following Operations:
Job 8 Operation 0 duration 237 mins.
Job 2 Operation 1 duration 64 mins.
Job 4 Operation 2 duration 243 mins.
Job 6 Operation 2 duration 109 mins.
Job 0 Operation 3 duration 190 mins.
Job 3 Operation 5 duration 281 mins.
Job 1 Operation 6 duration 123 mins.
Job 7 Operation 6 duration 79 mins.
Job 5 Operation 7 duration 193 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 84 mins.
Job 2 Operation 0 duration 202 mins.
Job 7 Operation 0 duration 1 mins.
Job 0 Operation 6 duration 96 mins.
Job 5 Operation 6 duration 6 mins.
Job 6 Operation 6 duration 122 mins.
Job 3 Operation 7 duration 38 mins.
Job 4 Operation 7 duration 206 mins.
Job 8 Operation 7 duration 189 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 1 duration 156 mins.
Job 3 Operation 1 duration 25 mins.
Job 7 Operation 3 duration 17 mins.
Job 6 Operation 4 duration 30 mins.
Job 8 Operation 4 duration 197 mins.
Job 4 Operation 5 duration 186 mins.
Job 5 Operation 5 duration 247 mins.
Job 2 Operation 6 duration 50 mins.
Job 0 Operation 7 duration 227 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 2 duration 6 mins.
Job 3 Operation 2 duration 141 mins.
Job 5 Operation 2 duration 72 mins.
Job 8 Operation 3 duration 155 mins.
Job 7 Operation 4 duration 189 mins.
Job 0 Operation 5 duration 197 mins.
Job 2 Operation 5 duration 107 mins.
Job 4 Operation 6 duration 201 mins.
Job 6 Operation 7 duration 214 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 2 duration 103 mins.
Job 7 Operation 2 duration 130 mins.
Job 8 Operation 2 duration 81 mins.
Job 1 Operation 3 duration 107 mins.
Job 4 Operation 3 duration 170 mins.
Job 2 Operation 4 duration 167 mins.
Job 5 Operation 4 duration 153 mins.
Job 6 Operation 5 duration 282 mins.
Job 3 Operation 6 duration 184 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 0 duration 136 mins.
Job 4 Operation 1 duration 215 mins.
Job 5 Operation 1 duration 39 mins.
Job 2 Operation 3 duration 86 mins.
Job 6 Operation 3 duration 190 mins.
Job 0 Operation 4 duration 99 mins.
Job 1 Operation 5 duration 152 mins.
Job 7 Operation 5 duration 57 mins.
Job 8 Operation 6 duration 185 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 170 -> 170
Job 4 Operation 0 on Machine 1 : 0 + 3 -> 3
Job 8 Operation 0 on Machine 2 : 0 + 237 -> 237
Job 7 Operation 0 on Machine 3 : 0 + 1 -> 1
Job 1 Operation 0 on Machine 3 : 1 + 84 -> 85
Job 5 Operation 0 on Machine 1 : 3 + 28 -> 31
Job 4 Operation 1 on Machine 7 : 3 + 215 -> 218
Job 2 Operation 0 on Machine 3 : 85 + 202 -> 287
Job 1 Operation 1 on Machine 4 : 85 + 156 -> 241
Job 6 Operation 0 on Machine 0 : 170 + 29 -> 199
Job 0 Operation 1 on Machine 1 : 170 + 19 -> 189
Job 7 Operation 1 on Machine 0 : 199 + 116 -> 315
Job 6 Operation 1 on Machine 1 : 199 + 249 -> 448
Job 5 Operation 1 on Machine 7 : 218 + 39 -> 257
Job 4 Operation 2 on Machine 2 : 237 + 243 -> 480
Job 1 Operation 2 on Machine 5 : 241 + 6 -> 247
Job 1 Operation 3 on Machine 6 : 247 + 107 -> 354
Job 5 Operation 2 on Machine 5 : 257 + 72 -> 329
Job 3 Operation 0 on Machine 7 : 257 + 136 -> 393
Job 8 Operation 1 on Machine 0 : 315 + 267 -> 582
Job 0 Operation 2 on Machine 6 : 354 + 103 -> 457
Job 3 Operation 1 on Machine 4 : 393 + 25 -> 418
Job 3 Operation 2 on Machine 5 : 418 + 141 -> 559
Job 0 Operation 3 on Machine 2 : 480 + 190 -> 670
Job 4 Operation 3 on Machine 6 : 480 + 170 -> 650
Job 1 Operation 4 on Machine 0 : 582 + 102 -> 684
Job 8 Operation 2 on Machine 6 : 650 + 81 -> 731
Job 2 Operation 1 on Machine 2 : 670 + 64 -> 734
Job 0 Operation 4 on Machine 7 : 670 + 99 -> 769
Job 4 Operation 4 on Machine 0 : 684 + 109 -> 793
Job 8 Operation 3 on Machine 5 : 731 + 155 -> 886
Job 7 Operation 2 on Machine 6 : 731 + 130 -> 861
Job 6 Operation 2 on Machine 2 : 734 + 109 -> 843
Job 3 Operation 3 on Machine 0 : 793 + 283 -> 1076
Job 4 Operation 5 on Machine 4 : 793 + 186 -> 979
Job 6 Operation 3 on Machine 7 : 843 + 190 -> 1033
Job 0 Operation 5 on Machine 5 : 886 + 197 -> 1083
Job 7 Operation 3 on Machine 4 : 979 + 17 -> 996
Job 6 Operation 4 on Machine 4 : 1033 + 30 -> 1063
Job 1 Operation 5 on Machine 7 : 1033 + 152 -> 1185
Job 8 Operation 4 on Machine 4 : 1063 + 197 -> 1260
Job 6 Operation 5 on Machine 6 : 1063 + 282 -> 1345
Job 5 Operation 3 on Machine 0 : 1076 + 272 -> 1348
Job 3 Operation 4 on Machine 1 : 1076 + 206 -> 1282
Job 0 Operation 6 on Machine 3 : 1083 + 96 -> 1179
Job 7 Operation 4 on Machine 5 : 1083 + 189 -> 1272
Job 0 Operation 7 on Machine 4 : 1260 + 227 -> 1487
Job 4 Operation 6 on Machine 5 : 1272 + 201 -> 1473
Job 7 Operation 5 on Machine 7 : 1272 + 57 -> 1329
Job 8 Operation 5 on Machine 1 : 1282 + 268 -> 1550
Job 3 Operation 5 on Machine 2 : 1282 + 281 -> 1563
Job 6 Operation 6 on Machine 3 : 1345 + 122 -> 1467
Job 2 Operation 2 on Machine 0 : 1348 + 125 -> 1473
Job 5 Operation 4 on Machine 6 : 1348 + 153 -> 1501
Job 4 Operation 7 on Machine 3 : 1473 + 206 -> 1679
Job 6 Operation 7 on Machine 5 : 1473 + 214 -> 1687
Job 2 Operation 3 on Machine 7 : 1473 + 86 -> 1559
Job 5 Operation 5 on Machine 4 : 1501 + 247 -> 1748
Job 2 Operation 4 on Machine 6 : 1559 + 167 -> 1726
Job 8 Operation 6 on Machine 7 : 1559 + 185 -> 1744
Job 1 Operation 6 on Machine 2 : 1563 + 123 -> 1686
Job 1 Operation 7 on Machine 1 : 1686 + 111 -> 1797
Job 7 Operation 6 on Machine 2 : 1686 + 79 -> 1765
Job 2 Operation 5 on Machine 5 : 1726 + 107 -> 1833
Job 3 Operation 6 on Machine 6 : 1726 + 184 -> 1910
Job 5 Operation 6 on Machine 3 : 1748 + 6 -> 1754
Job 8 Operation 7 on Machine 3 : 1754 + 189 -> 1943
Job 5 Operation 7 on Machine 2 : 1765 + 193 -> 1958
Job 7 Operation 7 on Machine 1 : 1797 + 10 -> 1807
Job 2 Operation 6 on Machine 4 : 1833 + 50 -> 1883
Job 2 Operation 7 on Machine 1 : 1883 + 107 -> 1990
Job 3 Operation 7 on Machine 3 : 1943 + 38 -> 1981
Makespan: 1990.0, as it is the maximum end completion time of Operation 7
| null |
|
10 | 3 |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 217 mins.
Operation 1 on Machine 0 duration 148 mins.
Operation 2 on Machine 1 duration 3 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 141 mins.
Operation 1 on Machine 2 duration 100 mins.
Operation 2 on Machine 0 duration 123 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 35 mins.
Operation 1 on Machine 0 duration 150 mins.
Operation 2 on Machine 2 duration 258 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 185 mins.
Operation 1 on Machine 2 duration 88 mins.
Operation 2 on Machine 0 duration 47 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 5 mins.
Operation 1 on Machine 1 duration 61 mins.
Operation 2 on Machine 0 duration 33 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 230 mins.
Operation 1 on Machine 0 duration 263 mins.
Operation 2 on Machine 1 duration 147 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 164 mins.
Operation 1 on Machine 2 duration 279 mins.
Operation 2 on Machine 0 duration 179 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 178 mins.
Operation 1 on Machine 0 duration 147 mins.
Operation 2 on Machine 1 duration 24 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 170 mins.
Operation 1 on Machine 2 duration 170 mins.
Operation 2 on Machine 1 duration 15 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 159 mins.
Operation 1 on Machine 2 duration 143 mins.
Operation 2 on Machine 0 duration 161 mins.
| null |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 8 Operation 0 duration 170 mins.
Job 0 Operation 1 duration 148 mins.
Job 2 Operation 1 duration 150 mins.
Job 5 Operation 1 duration 263 mins.
Job 7 Operation 1 duration 147 mins.
Job 1 Operation 2 duration 123 mins.
Job 3 Operation 2 duration 47 mins.
Job 4 Operation 2 duration 33 mins.
Job 6 Operation 2 duration 179 mins.
Job 9 Operation 2 duration 161 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 141 mins.
Job 2 Operation 0 duration 35 mins.
Job 3 Operation 0 duration 185 mins.
Job 6 Operation 0 duration 164 mins.
Job 9 Operation 0 duration 159 mins.
Job 4 Operation 1 duration 61 mins.
Job 0 Operation 2 duration 3 mins.
Job 5 Operation 2 duration 147 mins.
Job 7 Operation 2 duration 24 mins.
Job 8 Operation 2 duration 15 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 217 mins.
Job 4 Operation 0 duration 5 mins.
Job 5 Operation 0 duration 230 mins.
Job 7 Operation 0 duration 178 mins.
Job 1 Operation 1 duration 100 mins.
Job 3 Operation 1 duration 88 mins.
Job 6 Operation 1 duration 279 mins.
Job 8 Operation 1 duration 170 mins.
Job 9 Operation 1 duration 143 mins.
Job 2 Operation 2 duration 258 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 170 -> 170
Job 6 Operation 0 on Machine 1 : 0 + 164 -> 164
Job 4 Operation 0 on Machine 2 : 0 + 5 -> 5
Job 7 Operation 0 on Machine 2 : 5 + 178 -> 183
Job 2 Operation 0 on Machine 1 : 164 + 35 -> 199
Job 7 Operation 1 on Machine 0 : 183 + 147 -> 330
Job 6 Operation 1 on Machine 2 : 183 + 279 -> 462
Job 4 Operation 1 on Machine 1 : 199 + 61 -> 260
Job 4 Operation 2 on Machine 0 : 330 + 33 -> 363
Job 7 Operation 2 on Machine 1 : 330 + 24 -> 354
Job 1 Operation 0 on Machine 1 : 354 + 141 -> 495
Job 6 Operation 2 on Machine 0 : 462 + 179 -> 641
Job 8 Operation 1 on Machine 2 : 462 + 170 -> 632
Job 8 Operation 2 on Machine 1 : 632 + 15 -> 647
Job 5 Operation 0 on Machine 2 : 632 + 230 -> 862
Job 2 Operation 1 on Machine 0 : 641 + 150 -> 791
Job 3 Operation 0 on Machine 1 : 647 + 185 -> 832
Job 9 Operation 0 on Machine 1 : 832 + 159 -> 991
Job 5 Operation 1 on Machine 0 : 862 + 263 -> 1125
Job 0 Operation 0 on Machine 2 : 862 + 217 -> 1079
Job 1 Operation 1 on Machine 2 : 1079 + 100 -> 1179
Job 0 Operation 1 on Machine 0 : 1125 + 148 -> 1273
Job 5 Operation 2 on Machine 1 : 1125 + 147 -> 1272
Job 3 Operation 1 on Machine 2 : 1179 + 88 -> 1267
Job 9 Operation 1 on Machine 2 : 1267 + 143 -> 1410
Job 3 Operation 2 on Machine 0 : 1273 + 47 -> 1320
Job 0 Operation 2 on Machine 1 : 1273 + 3 -> 1276
Job 1 Operation 2 on Machine 0 : 1320 + 123 -> 1443
Job 2 Operation 2 on Machine 2 : 1410 + 258 -> 1668
Job 9 Operation 2 on Machine 0 : 1443 + 161 -> 1604
Makespan: 1668.0, as it is the maximum end completion time of Operation 2
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 25 mins.
Operation 1 on Machine 3 duration 79 mins.
Operation 2 on Machine 4 duration 18 mins.
Operation 3 on Machine 1 duration 91 mins.
Operation 4 on Machine 9 duration 89 mins.
Operation 5 on Machine 11 duration 94 mins.
Operation 6 on Machine 5 duration 95 mins.
Operation 7 on Machine 2 duration 320 mins.
Operation 8 on Machine 6 duration 130 mins.
Operation 9 on Machine 10 duration 2 mins.
Operation 10 on Machine 7 duration 343 mins.
Operation 11 on Machine 8 duration 269 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 8 duration 333 mins.
Operation 1 on Machine 7 duration 289 mins.
Operation 2 on Machine 2 duration 172 mins.
Operation 3 on Machine 6 duration 194 mins.
Operation 4 on Machine 5 duration 318 mins.
Operation 5 on Machine 9 duration 121 mins.
Operation 6 on Machine 3 duration 228 mins.
Operation 7 on Machine 1 duration 228 mins.
Operation 8 on Machine 10 duration 143 mins.
Operation 9 on Machine 4 duration 2 mins.
Operation 10 on Machine 11 duration 288 mins.
Operation 11 on Machine 0 duration 93 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 133 mins.
Operation 1 on Machine 6 duration 306 mins.
Operation 2 on Machine 11 duration 118 mins.
Operation 3 on Machine 10 duration 331 mins.
Operation 4 on Machine 3 duration 200 mins.
Operation 5 on Machine 5 duration 260 mins.
Operation 6 on Machine 1 duration 33 mins.
Operation 7 on Machine 8 duration 92 mins.
Operation 8 on Machine 7 duration 59 mins.
Operation 9 on Machine 2 duration 14 mins.
Operation 10 on Machine 9 duration 194 mins.
Operation 11 on Machine 0 duration 75 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 200 mins.
Operation 1 on Machine 2 duration 89 mins.
Operation 2 on Machine 7 duration 129 mins.
Operation 3 on Machine 10 duration 164 mins.
Operation 4 on Machine 9 duration 101 mins.
Operation 5 on Machine 0 duration 35 mins.
Operation 6 on Machine 11 duration 190 mins.
Operation 7 on Machine 4 duration 36 mins.
Operation 8 on Machine 8 duration 270 mins.
Operation 9 on Machine 5 duration 137 mins.
Operation 10 on Machine 3 duration 123 mins.
Operation 11 on Machine 1 duration 63 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 160 mins.
Operation 1 on Machine 1 duration 237 mins.
Operation 2 on Machine 6 duration 174 mins.
Operation 3 on Machine 2 duration 212 mins.
Operation 4 on Machine 4 duration 296 mins.
Operation 5 on Machine 5 duration 212 mins.
Operation 6 on Machine 8 duration 275 mins.
Operation 7 on Machine 9 duration 189 mins.
Operation 8 on Machine 7 duration 71 mins.
Operation 9 on Machine 3 duration 35 mins.
Operation 10 on Machine 11 duration 232 mins.
Operation 11 on Machine 10 duration 298 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 9 duration 38 mins.
Operation 1 on Machine 10 duration 300 mins.
Operation 2 on Machine 6 duration 238 mins.
Operation 3 on Machine 5 duration 276 mins.
Operation 4 on Machine 1 duration 3 mins.
Operation 5 on Machine 7 duration 88 mins.
Operation 6 on Machine 4 duration 105 mins.
Operation 7 on Machine 3 duration 249 mins.
Operation 8 on Machine 11 duration 265 mins.
Operation 9 on Machine 2 duration 72 mins.
Operation 10 on Machine 0 duration 150 mins.
Operation 11 on Machine 8 duration 131 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 11 duration 155 mins.
Operation 1 on Machine 5 duration 289 mins.
Operation 2 on Machine 7 duration 227 mins.
Operation 3 on Machine 1 duration 167 mins.
Operation 4 on Machine 8 duration 130 mins.
Operation 5 on Machine 4 duration 143 mins.
Operation 6 on Machine 10 duration 344 mins.
Operation 7 on Machine 3 duration 109 mins.
Operation 8 on Machine 9 duration 259 mins.
Operation 9 on Machine 2 duration 198 mins.
Operation 10 on Machine 6 duration 291 mins.
Operation 11 on Machine 0 duration 214 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 111 mins.
Operation 1 on Machine 10 duration 77 mins.
Operation 2 on Machine 5 duration 163 mins.
Operation 3 on Machine 1 duration 114 mins.
Operation 4 on Machine 6 duration 226 mins.
Operation 5 on Machine 0 duration 113 mins.
Operation 6 on Machine 7 duration 153 mins.
Operation 7 on Machine 2 duration 305 mins.
Operation 8 on Machine 3 duration 15 mins.
Operation 9 on Machine 9 duration 27 mins.
Operation 10 on Machine 8 duration 88 mins.
Operation 11 on Machine 11 duration 174 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 10 duration 332 mins.
Operation 1 on Machine 1 duration 260 mins.
Operation 2 on Machine 0 duration 86 mins.
Operation 3 on Machine 4 duration 203 mins.
Operation 4 on Machine 11 duration 11 mins.
Operation 5 on Machine 6 duration 212 mins.
Operation 6 on Machine 7 duration 167 mins.
Operation 7 on Machine 9 duration 148 mins.
Operation 8 on Machine 5 duration 125 mins.
Operation 9 on Machine 3 duration 198 mins.
Operation 10 on Machine 8 duration 163 mins.
Operation 11 on Machine 2 duration 162 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 33 mins.
Operation 1 on Machine 0 duration 198 mins.
Operation 2 on Machine 8 duration 185 mins.
Operation 3 on Machine 9 duration 7 mins.
Operation 4 on Machine 5 duration 282 mins.
Operation 5 on Machine 7 duration 17 mins.
Operation 6 on Machine 11 duration 193 mins.
Operation 7 on Machine 10 duration 140 mins.
Operation 8 on Machine 4 duration 275 mins.
Operation 9 on Machine 6 duration 226 mins.
Operation 10 on Machine 2 duration 158 mins.
Operation 11 on Machine 1 duration 241 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 4 duration 220 mins.
Operation 1 on Machine 1 duration 262 mins.
Operation 2 on Machine 7 duration 273 mins.
Operation 3 on Machine 5 duration 237 mins.
Operation 4 on Machine 10 duration 313 mins.
Operation 5 on Machine 11 duration 316 mins.
Operation 6 on Machine 6 duration 89 mins.
Operation 7 on Machine 9 duration 192 mins.
Operation 8 on Machine 2 duration 42 mins.
Operation 9 on Machine 3 duration 282 mins.
Operation 10 on Machine 0 duration 95 mins.
Operation 11 on Machine 8 duration 258 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 0 duration 246 mins.
Operation 1 on Machine 6 duration 198 mins.
Operation 2 on Machine 4 duration 24 mins.
Operation 3 on Machine 2 duration 309 mins.
Operation 4 on Machine 10 duration 275 mins.
Operation 5 on Machine 1 duration 141 mins.
Operation 6 on Machine 5 duration 310 mins.
Operation 7 on Machine 7 duration 327 mins.
Operation 8 on Machine 3 duration 85 mins.
Operation 9 on Machine 8 duration 293 mins.
Operation 10 on Machine 11 duration 254 mins.
Operation 11 on Machine 9 duration 13 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 25 mins.
Job 4 Operation 0 duration 160 mins.
Job 11 Operation 0 duration 246 mins.
Job 9 Operation 1 duration 198 mins.
Job 8 Operation 2 duration 86 mins.
Job 3 Operation 5 duration 35 mins.
Job 7 Operation 5 duration 113 mins.
Job 5 Operation 10 duration 150 mins.
Job 10 Operation 10 duration 95 mins.
Job 1 Operation 11 duration 93 mins.
Job 2 Operation 11 duration 75 mins.
Job 6 Operation 11 duration 214 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 1 duration 237 mins.
Job 8 Operation 1 duration 260 mins.
Job 10 Operation 1 duration 262 mins.
Job 0 Operation 3 duration 91 mins.
Job 6 Operation 3 duration 167 mins.
Job 7 Operation 3 duration 114 mins.
Job 5 Operation 4 duration 3 mins.
Job 11 Operation 5 duration 141 mins.
Job 2 Operation 6 duration 33 mins.
Job 1 Operation 7 duration 228 mins.
Job 3 Operation 11 duration 63 mins.
Job 9 Operation 11 duration 241 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 89 mins.
Job 1 Operation 2 duration 172 mins.
Job 4 Operation 3 duration 212 mins.
Job 11 Operation 3 duration 309 mins.
Job 0 Operation 7 duration 320 mins.
Job 7 Operation 7 duration 305 mins.
Job 10 Operation 8 duration 42 mins.
Job 2 Operation 9 duration 14 mins.
Job 5 Operation 9 duration 72 mins.
Job 6 Operation 9 duration 198 mins.
Job 9 Operation 10 duration 158 mins.
Job 8 Operation 11 duration 162 mins.
Machine 3 is used for the following Operations:
Job 9 Operation 0 duration 33 mins.
Job 0 Operation 1 duration 79 mins.
Job 2 Operation 4 duration 200 mins.
Job 1 Operation 6 duration 228 mins.
Job 5 Operation 7 duration 249 mins.
Job 6 Operation 7 duration 109 mins.
Job 7 Operation 8 duration 15 mins.
Job 11 Operation 8 duration 85 mins.
Job 4 Operation 9 duration 35 mins.
Job 8 Operation 9 duration 198 mins.
Job 10 Operation 9 duration 282 mins.
Job 3 Operation 10 duration 123 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 133 mins.
Job 7 Operation 0 duration 111 mins.
Job 10 Operation 0 duration 220 mins.
Job 0 Operation 2 duration 18 mins.
Job 11 Operation 2 duration 24 mins.
Job 8 Operation 3 duration 203 mins.
Job 4 Operation 4 duration 296 mins.
Job 6 Operation 5 duration 143 mins.
Job 5 Operation 6 duration 105 mins.
Job 3 Operation 7 duration 36 mins.
Job 9 Operation 8 duration 275 mins.
Job 1 Operation 9 duration 2 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 1 duration 289 mins.
Job 7 Operation 2 duration 163 mins.
Job 5 Operation 3 duration 276 mins.
Job 10 Operation 3 duration 237 mins.
Job 1 Operation 4 duration 318 mins.
Job 9 Operation 4 duration 282 mins.
Job 2 Operation 5 duration 260 mins.
Job 4 Operation 5 duration 212 mins.
Job 0 Operation 6 duration 95 mins.
Job 11 Operation 6 duration 310 mins.
Job 8 Operation 8 duration 125 mins.
Job 3 Operation 9 duration 137 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 200 mins.
Job 2 Operation 1 duration 306 mins.
Job 11 Operation 1 duration 198 mins.
Job 4 Operation 2 duration 174 mins.
Job 5 Operation 2 duration 238 mins.
Job 1 Operation 3 duration 194 mins.
Job 7 Operation 4 duration 226 mins.
Job 8 Operation 5 duration 212 mins.
Job 10 Operation 6 duration 89 mins.
Job 0 Operation 8 duration 130 mins.
Job 9 Operation 9 duration 226 mins.
Job 6 Operation 10 duration 291 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 1 duration 289 mins.
Job 3 Operation 2 duration 129 mins.
Job 6 Operation 2 duration 227 mins.
Job 10 Operation 2 duration 273 mins.
Job 5 Operation 5 duration 88 mins.
Job 9 Operation 5 duration 17 mins.
Job 7 Operation 6 duration 153 mins.
Job 8 Operation 6 duration 167 mins.
Job 11 Operation 7 duration 327 mins.
Job 2 Operation 8 duration 59 mins.
Job 4 Operation 8 duration 71 mins.
Job 0 Operation 10 duration 343 mins.
Machine 8 is used for the following Operations:
Job 1 Operation 0 duration 333 mins.
Job 9 Operation 2 duration 185 mins.
Job 6 Operation 4 duration 130 mins.
Job 4 Operation 6 duration 275 mins.
Job 2 Operation 7 duration 92 mins.
Job 3 Operation 8 duration 270 mins.
Job 11 Operation 9 duration 293 mins.
Job 7 Operation 10 duration 88 mins.
Job 8 Operation 10 duration 163 mins.
Job 0 Operation 11 duration 269 mins.
Job 5 Operation 11 duration 131 mins.
Job 10 Operation 11 duration 258 mins.
Machine 9 is used for the following Operations:
Job 5 Operation 0 duration 38 mins.
Job 9 Operation 3 duration 7 mins.
Job 0 Operation 4 duration 89 mins.
Job 3 Operation 4 duration 101 mins.
Job 1 Operation 5 duration 121 mins.
Job 4 Operation 7 duration 189 mins.
Job 8 Operation 7 duration 148 mins.
Job 10 Operation 7 duration 192 mins.
Job 6 Operation 8 duration 259 mins.
Job 7 Operation 9 duration 27 mins.
Job 2 Operation 10 duration 194 mins.
Job 11 Operation 11 duration 13 mins.
Machine 10 is used for the following Operations:
Job 8 Operation 0 duration 332 mins.
Job 5 Operation 1 duration 300 mins.
Job 7 Operation 1 duration 77 mins.
Job 2 Operation 3 duration 331 mins.
Job 3 Operation 3 duration 164 mins.
Job 10 Operation 4 duration 313 mins.
Job 11 Operation 4 duration 275 mins.
Job 6 Operation 6 duration 344 mins.
Job 9 Operation 7 duration 140 mins.
Job 1 Operation 8 duration 143 mins.
Job 0 Operation 9 duration 2 mins.
Job 4 Operation 11 duration 298 mins.
Machine 11 is used for the following Operations:
Job 6 Operation 0 duration 155 mins.
Job 2 Operation 2 duration 118 mins.
Job 8 Operation 4 duration 11 mins.
Job 0 Operation 5 duration 94 mins.
Job 10 Operation 5 duration 316 mins.
Job 3 Operation 6 duration 190 mins.
Job 9 Operation 6 duration 193 mins.
Job 5 Operation 8 duration 265 mins.
Job 1 Operation 10 duration 288 mins.
Job 4 Operation 10 duration 232 mins.
Job 11 Operation 10 duration 254 mins.
Job 7 Operation 11 duration 174 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 25 -> 25
Job 2 Operation 0 on Machine 4 : 0 + 133 -> 133
Job 3 Operation 0 on Machine 6 : 0 + 200 -> 200
Job 1 Operation 0 on Machine 8 : 0 + 333 -> 333
Job 5 Operation 0 on Machine 9 : 0 + 38 -> 38
Job 6 Operation 0 on Machine 11 : 0 + 155 -> 155
Job 4 Operation 0 on Machine 0 : 25 + 160 -> 185
Job 0 Operation 1 on Machine 3 : 25 + 79 -> 104
Job 5 Operation 1 on Machine 10 : 38 + 300 -> 338
Job 9 Operation 0 on Machine 3 : 104 + 33 -> 137
Job 0 Operation 2 on Machine 4 : 133 + 18 -> 151
Job 0 Operation 3 on Machine 1 : 151 + 91 -> 242
Job 7 Operation 0 on Machine 4 : 151 + 111 -> 262
Job 6 Operation 1 on Machine 5 : 155 + 289 -> 444
Job 9 Operation 1 on Machine 0 : 185 + 198 -> 383
Job 3 Operation 1 on Machine 2 : 200 + 89 -> 289
Job 2 Operation 1 on Machine 6 : 200 + 306 -> 506
Job 4 Operation 1 on Machine 1 : 242 + 237 -> 479
Job 0 Operation 4 on Machine 9 : 242 + 89 -> 331
Job 10 Operation 0 on Machine 4 : 262 + 220 -> 482
Job 3 Operation 2 on Machine 7 : 289 + 129 -> 418
Job 0 Operation 5 on Machine 11 : 331 + 94 -> 425
Job 7 Operation 1 on Machine 10 : 338 + 77 -> 415
Job 11 Operation 0 on Machine 0 : 383 + 246 -> 629
Job 9 Operation 2 on Machine 8 : 383 + 185 -> 568
Job 8 Operation 0 on Machine 10 : 415 + 332 -> 747
Job 1 Operation 1 on Machine 7 : 418 + 289 -> 707
Job 0 Operation 6 on Machine 5 : 444 + 95 -> 539
Job 10 Operation 1 on Machine 1 : 482 + 262 -> 744
Job 5 Operation 2 on Machine 6 : 506 + 238 -> 744
Job 2 Operation 2 on Machine 11 : 506 + 118 -> 624
Job 0 Operation 7 on Machine 2 : 539 + 320 -> 859
Job 7 Operation 2 on Machine 5 : 539 + 163 -> 702
Job 9 Operation 3 on Machine 9 : 568 + 7 -> 575
Job 9 Operation 4 on Machine 5 : 702 + 282 -> 984
Job 4 Operation 2 on Machine 6 : 744 + 174 -> 918
Job 10 Operation 2 on Machine 7 : 744 + 273 -> 1017
Job 8 Operation 1 on Machine 1 : 747 + 260 -> 1007
Job 3 Operation 3 on Machine 10 : 747 + 164 -> 911
Job 1 Operation 2 on Machine 2 : 859 + 172 -> 1031
Job 3 Operation 4 on Machine 9 : 911 + 101 -> 1012
Job 2 Operation 3 on Machine 10 : 911 + 331 -> 1242
Job 0 Operation 8 on Machine 6 : 918 + 130 -> 1048
Job 8 Operation 2 on Machine 0 : 1007 + 86 -> 1093
Job 7 Operation 3 on Machine 1 : 1007 + 114 -> 1121
Job 10 Operation 3 on Machine 5 : 1017 + 237 -> 1254
Job 6 Operation 2 on Machine 7 : 1017 + 227 -> 1244
Job 4 Operation 3 on Machine 2 : 1031 + 212 -> 1243
Job 11 Operation 1 on Machine 6 : 1048 + 198 -> 1246
Job 3 Operation 5 on Machine 0 : 1093 + 35 -> 1128
Job 8 Operation 3 on Machine 4 : 1093 + 203 -> 1296
Job 3 Operation 6 on Machine 11 : 1128 + 190 -> 1318
Job 2 Operation 4 on Machine 3 : 1242 + 200 -> 1442
Job 0 Operation 9 on Machine 10 : 1242 + 2 -> 1244
Job 6 Operation 3 on Machine 1 : 1244 + 167 -> 1411
Job 0 Operation 10 on Machine 7 : 1244 + 343 -> 1587
Job 1 Operation 3 on Machine 6 : 1246 + 194 -> 1440
Job 5 Operation 3 on Machine 5 : 1254 + 276 -> 1530
Job 10 Operation 4 on Machine 10 : 1254 + 313 -> 1567
Job 11 Operation 2 on Machine 4 : 1296 + 24 -> 1320
Job 8 Operation 4 on Machine 11 : 1318 + 11 -> 1329
Job 11 Operation 3 on Machine 2 : 1320 + 309 -> 1629
Job 3 Operation 7 on Machine 4 : 1320 + 36 -> 1356
Job 4 Operation 4 on Machine 4 : 1356 + 296 -> 1652
Job 3 Operation 8 on Machine 8 : 1356 + 270 -> 1626
Job 7 Operation 4 on Machine 6 : 1440 + 226 -> 1666
Job 5 Operation 4 on Machine 1 : 1530 + 3 -> 1533
Job 1 Operation 4 on Machine 5 : 1530 + 318 -> 1848
Job 10 Operation 5 on Machine 11 : 1567 + 316 -> 1883
Job 5 Operation 5 on Machine 7 : 1587 + 88 -> 1675
Job 6 Operation 4 on Machine 8 : 1626 + 130 -> 1756
Job 11 Operation 4 on Machine 10 : 1629 + 275 -> 1904
Job 7 Operation 5 on Machine 0 : 1666 + 113 -> 1779
Job 8 Operation 5 on Machine 6 : 1666 + 212 -> 1878
Job 5 Operation 6 on Machine 4 : 1675 + 105 -> 1780
Job 9 Operation 5 on Machine 7 : 1675 + 17 -> 1692
Job 0 Operation 11 on Machine 8 : 1756 + 269 -> 2025
Job 7 Operation 6 on Machine 7 : 1779 + 153 -> 1932
Job 5 Operation 7 on Machine 3 : 1780 + 249 -> 2029
Job 6 Operation 5 on Machine 4 : 1780 + 143 -> 1923
Job 4 Operation 5 on Machine 5 : 1848 + 212 -> 2060
Job 1 Operation 5 on Machine 9 : 1848 + 121 -> 1969
Job 10 Operation 6 on Machine 6 : 1883 + 89 -> 1972
Job 9 Operation 6 on Machine 11 : 1883 + 193 -> 2076
Job 11 Operation 5 on Machine 1 : 1904 + 141 -> 2045
Job 6 Operation 6 on Machine 10 : 1923 + 344 -> 2267
Job 7 Operation 7 on Machine 2 : 1932 + 305 -> 2237
Job 8 Operation 6 on Machine 7 : 1932 + 167 -> 2099
Job 10 Operation 7 on Machine 9 : 1972 + 192 -> 2164
Job 1 Operation 6 on Machine 3 : 2029 + 228 -> 2257
Job 11 Operation 6 on Machine 5 : 2060 + 310 -> 2370
Job 4 Operation 6 on Machine 8 : 2060 + 275 -> 2335
Job 5 Operation 8 on Machine 11 : 2076 + 265 -> 2341
Job 8 Operation 7 on Machine 9 : 2164 + 148 -> 2312
Job 10 Operation 8 on Machine 2 : 2237 + 42 -> 2279
Job 1 Operation 7 on Machine 1 : 2257 + 228 -> 2485
Job 7 Operation 8 on Machine 3 : 2257 + 15 -> 2272
Job 9 Operation 7 on Machine 10 : 2267 + 140 -> 2407
Job 6 Operation 7 on Machine 3 : 2272 + 109 -> 2381
Job 7 Operation 9 on Machine 9 : 2312 + 27 -> 2339
Job 7 Operation 10 on Machine 8 : 2339 + 88 -> 2427
Job 4 Operation 7 on Machine 9 : 2339 + 189 -> 2528
Job 5 Operation 9 on Machine 2 : 2341 + 72 -> 2413
Job 2 Operation 5 on Machine 5 : 2370 + 260 -> 2630
Job 11 Operation 7 on Machine 7 : 2370 + 327 -> 2697
Job 10 Operation 9 on Machine 3 : 2381 + 282 -> 2663
Job 9 Operation 8 on Machine 4 : 2407 + 275 -> 2682
Job 5 Operation 10 on Machine 0 : 2413 + 150 -> 2563
Job 7 Operation 11 on Machine 11 : 2427 + 174 -> 2601
Job 1 Operation 8 on Machine 10 : 2485 + 143 -> 2628
Job 6 Operation 8 on Machine 9 : 2528 + 259 -> 2787
Job 5 Operation 11 on Machine 8 : 2563 + 131 -> 2694
Job 2 Operation 6 on Machine 1 : 2630 + 33 -> 2663
Job 8 Operation 8 on Machine 5 : 2630 + 125 -> 2755
Job 10 Operation 10 on Machine 0 : 2663 + 95 -> 2758
Job 1 Operation 9 on Machine 4 : 2682 + 2 -> 2684
Job 9 Operation 9 on Machine 6 : 2682 + 226 -> 2908
Job 1 Operation 10 on Machine 11 : 2684 + 288 -> 2972
Job 2 Operation 7 on Machine 8 : 2694 + 92 -> 2786
Job 11 Operation 8 on Machine 3 : 2697 + 85 -> 2782
Job 4 Operation 8 on Machine 7 : 2697 + 71 -> 2768
Job 3 Operation 9 on Machine 5 : 2755 + 137 -> 2892
Job 4 Operation 9 on Machine 3 : 2782 + 35 -> 2817
Job 2 Operation 8 on Machine 7 : 2786 + 59 -> 2845
Job 11 Operation 9 on Machine 8 : 2786 + 293 -> 3079
Job 6 Operation 9 on Machine 2 : 2787 + 198 -> 2985
Job 8 Operation 9 on Machine 3 : 2817 + 198 -> 3015
Job 1 Operation 11 on Machine 0 : 2972 + 93 -> 3065
Job 4 Operation 10 on Machine 11 : 2972 + 232 -> 3204
Job 2 Operation 9 on Machine 2 : 2985 + 14 -> 2999
Job 6 Operation 10 on Machine 6 : 2985 + 291 -> 3276
Job 9 Operation 10 on Machine 2 : 2999 + 158 -> 3157
Job 2 Operation 10 on Machine 9 : 2999 + 194 -> 3193
Job 3 Operation 10 on Machine 3 : 3015 + 123 -> 3138
Job 8 Operation 10 on Machine 8 : 3079 + 163 -> 3242
Job 9 Operation 11 on Machine 1 : 3157 + 241 -> 3398
Job 2 Operation 11 on Machine 0 : 3193 + 75 -> 3268
Job 4 Operation 11 on Machine 10 : 3204 + 298 -> 3502
Job 11 Operation 10 on Machine 11 : 3204 + 254 -> 3458
Job 8 Operation 11 on Machine 2 : 3242 + 162 -> 3404
Job 10 Operation 11 on Machine 8 : 3242 + 258 -> 3500
Job 6 Operation 11 on Machine 0 : 3276 + 214 -> 3490
Job 3 Operation 11 on Machine 1 : 3398 + 63 -> 3461
Job 11 Operation 11 on Machine 9 : 3458 + 13 -> 3471
Makespan: 3502.0, as it is the maximum end completion time of Operation 11
| null |
|
8 | 7 |
Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 80 mins.
Operation 1 on Machine 1 duration 108 mins.
Operation 2 on Machine 6 duration 46 mins.
Operation 3 on Machine 0 duration 41 mins.
Operation 4 on Machine 4 duration 54 mins.
Operation 5 on Machine 5 duration 93 mins.
Operation 6 on Machine 2 duration 101 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 4 mins.
Operation 1 on Machine 6 duration 97 mins.
Operation 2 on Machine 3 duration 3 mins.
Operation 3 on Machine 0 duration 68 mins.
Operation 4 on Machine 2 duration 54 mins.
Operation 5 on Machine 5 duration 1 mins.
Operation 6 on Machine 4 duration 86 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 22 mins.
Operation 1 on Machine 0 duration 6 mins.
Operation 2 on Machine 6 duration 103 mins.
Operation 3 on Machine 1 duration 90 mins.
Operation 4 on Machine 2 duration 93 mins.
Operation 5 on Machine 3 duration 11 mins.
Operation 6 on Machine 5 duration 26 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 48 mins.
Operation 1 on Machine 4 duration 103 mins.
Operation 2 on Machine 5 duration 108 mins.
Operation 3 on Machine 1 duration 90 mins.
Operation 4 on Machine 2 duration 52 mins.
Operation 5 on Machine 0 duration 2 mins.
Operation 6 on Machine 3 duration 7 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 73 mins.
Operation 1 on Machine 4 duration 78 mins.
Operation 2 on Machine 6 duration 44 mins.
Operation 3 on Machine 3 duration 88 mins.
Operation 4 on Machine 1 duration 21 mins.
Operation 5 on Machine 5 duration 68 mins.
Operation 6 on Machine 0 duration 93 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 27 mins.
Operation 1 on Machine 4 duration 60 mins.
Operation 2 on Machine 0 duration 91 mins.
Operation 3 on Machine 2 duration 43 mins.
Operation 4 on Machine 5 duration 94 mins.
Operation 5 on Machine 3 duration 53 mins.
Operation 6 on Machine 6 duration 74 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 61 mins.
Operation 1 on Machine 3 duration 26 mins.
Operation 2 on Machine 5 duration 6 mins.
Operation 3 on Machine 4 duration 56 mins.
Operation 4 on Machine 2 duration 59 mins.
Operation 5 on Machine 0 duration 14 mins.
Operation 6 on Machine 1 duration 66 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 92 mins.
Operation 1 on Machine 2 duration 82 mins.
Operation 2 on Machine 6 duration 61 mins.
Operation 3 on Machine 4 duration 105 mins.
Operation 4 on Machine 3 duration 1 mins.
Operation 5 on Machine 0 duration 70 mins.
Operation 6 on Machine 5 duration 109 mins.
| null |
Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 1 duration 6 mins.
Job 5 Operation 2 duration 91 mins.
Job 0 Operation 3 duration 41 mins.
Job 1 Operation 3 duration 68 mins.
Job 3 Operation 5 duration 2 mins.
Job 6 Operation 5 duration 14 mins.
Job 7 Operation 5 duration 70 mins.
Job 4 Operation 6 duration 93 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 4 mins.
Job 5 Operation 0 duration 27 mins.
Job 7 Operation 0 duration 92 mins.
Job 0 Operation 1 duration 108 mins.
Job 2 Operation 3 duration 90 mins.
Job 3 Operation 3 duration 90 mins.
Job 4 Operation 4 duration 21 mins.
Job 6 Operation 6 duration 66 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 73 mins.
Job 7 Operation 1 duration 82 mins.
Job 5 Operation 3 duration 43 mins.
Job 1 Operation 4 duration 54 mins.
Job 2 Operation 4 duration 93 mins.
Job 3 Operation 4 duration 52 mins.
Job 6 Operation 4 duration 59 mins.
Job 0 Operation 6 duration 101 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 80 mins.
Job 6 Operation 1 duration 26 mins.
Job 1 Operation 2 duration 3 mins.
Job 4 Operation 3 duration 88 mins.
Job 7 Operation 4 duration 1 mins.
Job 2 Operation 5 duration 11 mins.
Job 5 Operation 5 duration 53 mins.
Job 3 Operation 6 duration 7 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 22 mins.
Job 3 Operation 1 duration 103 mins.
Job 4 Operation 1 duration 78 mins.
Job 5 Operation 1 duration 60 mins.
Job 6 Operation 3 duration 56 mins.
Job 7 Operation 3 duration 105 mins.
Job 0 Operation 4 duration 54 mins.
Job 1 Operation 6 duration 86 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 2 duration 108 mins.
Job 6 Operation 2 duration 6 mins.
Job 5 Operation 4 duration 94 mins.
Job 0 Operation 5 duration 93 mins.
Job 1 Operation 5 duration 1 mins.
Job 4 Operation 5 duration 68 mins.
Job 2 Operation 6 duration 26 mins.
Job 7 Operation 6 duration 109 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 48 mins.
Job 6 Operation 0 duration 61 mins.
Job 1 Operation 1 duration 97 mins.
Job 0 Operation 2 duration 46 mins.
Job 2 Operation 2 duration 103 mins.
Job 4 Operation 2 duration 44 mins.
Job 7 Operation 2 duration 61 mins.
Job 5 Operation 6 duration 74 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 1 : 0 + 4 -> 4
Job 4 Operation 0 on Machine 2 : 0 + 73 -> 73
Job 0 Operation 0 on Machine 3 : 0 + 80 -> 80
Job 2 Operation 0 on Machine 4 : 0 + 22 -> 22
Job 3 Operation 0 on Machine 6 : 0 + 48 -> 48
Job 5 Operation 0 on Machine 1 : 4 + 27 -> 31
Job 2 Operation 1 on Machine 0 : 22 + 6 -> 28
Job 7 Operation 0 on Machine 1 : 31 + 92 -> 123
Job 5 Operation 1 on Machine 4 : 31 + 60 -> 91
Job 6 Operation 0 on Machine 6 : 48 + 61 -> 109
Job 5 Operation 2 on Machine 0 : 91 + 91 -> 182
Job 3 Operation 1 on Machine 4 : 91 + 103 -> 194
Job 6 Operation 1 on Machine 3 : 109 + 26 -> 135
Job 2 Operation 2 on Machine 6 : 109 + 103 -> 212
Job 0 Operation 1 on Machine 1 : 123 + 108 -> 231
Job 7 Operation 1 on Machine 2 : 123 + 82 -> 205
Job 6 Operation 2 on Machine 5 : 135 + 6 -> 141
Job 4 Operation 1 on Machine 4 : 194 + 78 -> 272
Job 3 Operation 2 on Machine 5 : 194 + 108 -> 302
Job 5 Operation 3 on Machine 2 : 205 + 43 -> 248
Job 7 Operation 2 on Machine 6 : 212 + 61 -> 273
Job 2 Operation 3 on Machine 1 : 231 + 90 -> 321
Job 6 Operation 3 on Machine 4 : 272 + 56 -> 328
Job 0 Operation 2 on Machine 6 : 273 + 46 -> 319
Job 5 Operation 4 on Machine 5 : 302 + 94 -> 396
Job 0 Operation 3 on Machine 0 : 319 + 41 -> 360
Job 4 Operation 2 on Machine 6 : 319 + 44 -> 363
Job 3 Operation 3 on Machine 1 : 321 + 90 -> 411
Job 2 Operation 4 on Machine 2 : 321 + 93 -> 414
Job 0 Operation 4 on Machine 4 : 360 + 54 -> 414
Job 4 Operation 3 on Machine 3 : 363 + 88 -> 451
Job 1 Operation 1 on Machine 6 : 363 + 97 -> 460
Job 3 Operation 4 on Machine 2 : 414 + 52 -> 466
Job 7 Operation 3 on Machine 4 : 414 + 105 -> 519
Job 0 Operation 5 on Machine 5 : 414 + 93 -> 507
Job 4 Operation 4 on Machine 1 : 451 + 21 -> 472
Job 1 Operation 2 on Machine 3 : 460 + 3 -> 463
Job 1 Operation 3 on Machine 0 : 463 + 68 -> 531
Job 6 Operation 4 on Machine 2 : 466 + 59 -> 525
Job 4 Operation 5 on Machine 5 : 507 + 68 -> 575
Job 7 Operation 4 on Machine 3 : 519 + 1 -> 520
Job 2 Operation 5 on Machine 3 : 520 + 11 -> 531
Job 7 Operation 5 on Machine 0 : 531 + 70 -> 601
Job 1 Operation 4 on Machine 2 : 531 + 54 -> 585
Job 5 Operation 5 on Machine 3 : 531 + 53 -> 584
Job 2 Operation 6 on Machine 5 : 575 + 26 -> 601
Job 5 Operation 6 on Machine 6 : 584 + 74 -> 658
Job 0 Operation 6 on Machine 2 : 585 + 101 -> 686
Job 3 Operation 5 on Machine 0 : 601 + 2 -> 603
Job 1 Operation 5 on Machine 5 : 601 + 1 -> 602
Job 1 Operation 6 on Machine 4 : 602 + 86 -> 688
Job 7 Operation 6 on Machine 5 : 602 + 109 -> 711
Job 6 Operation 5 on Machine 0 : 603 + 14 -> 617
Job 3 Operation 6 on Machine 3 : 603 + 7 -> 610
Job 4 Operation 6 on Machine 0 : 617 + 93 -> 710
Job 6 Operation 6 on Machine 1 : 617 + 66 -> 683
Makespan: 711.0, as it is the maximum end completion time of Operation 6
| null |
|
10 | 2 |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 261 mins.
Operation 1 on Machine 0 duration 296 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 426 mins.
Operation 1 on Machine 0 duration 260 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 343 mins.
Operation 1 on Machine 0 duration 334 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 233 mins.
Operation 1 on Machine 0 duration 172 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 92 mins.
Operation 1 on Machine 0 duration 164 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 396 mins.
Operation 1 on Machine 0 duration 492 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 422 mins.
Operation 1 on Machine 0 duration 110 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 73 mins.
Operation 1 on Machine 0 duration 485 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 25 mins.
Operation 1 on Machine 1 duration 443 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 368 mins.
Operation 1 on Machine 1 duration 288 mins.
| null |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 8 Operation 0 duration 25 mins.
Job 9 Operation 0 duration 368 mins.
Job 0 Operation 1 duration 296 mins.
Job 1 Operation 1 duration 260 mins.
Job 2 Operation 1 duration 334 mins.
Job 3 Operation 1 duration 172 mins.
Job 4 Operation 1 duration 164 mins.
Job 5 Operation 1 duration 492 mins.
Job 6 Operation 1 duration 110 mins.
Job 7 Operation 1 duration 485 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 261 mins.
Job 1 Operation 0 duration 426 mins.
Job 2 Operation 0 duration 343 mins.
Job 3 Operation 0 duration 233 mins.
Job 4 Operation 0 duration 92 mins.
Job 5 Operation 0 duration 396 mins.
Job 6 Operation 0 duration 422 mins.
Job 7 Operation 0 duration 73 mins.
Job 8 Operation 1 duration 443 mins.
Job 9 Operation 1 duration 288 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 25 -> 25
Job 7 Operation 0 on Machine 1 : 0 + 73 -> 73
Job 9 Operation 0 on Machine 0 : 25 + 368 -> 393
Job 4 Operation 0 on Machine 1 : 73 + 92 -> 165
Job 3 Operation 0 on Machine 1 : 165 + 233 -> 398
Job 4 Operation 1 on Machine 0 : 393 + 164 -> 557
Job 0 Operation 0 on Machine 1 : 398 + 261 -> 659
Job 3 Operation 1 on Machine 0 : 557 + 172 -> 729
Job 9 Operation 1 on Machine 1 : 659 + 288 -> 947
Job 0 Operation 1 on Machine 0 : 729 + 296 -> 1025
Job 2 Operation 0 on Machine 1 : 947 + 343 -> 1290
Job 7 Operation 1 on Machine 0 : 1025 + 485 -> 1510
Job 5 Operation 0 on Machine 1 : 1290 + 396 -> 1686
Job 2 Operation 1 on Machine 0 : 1510 + 334 -> 1844
Job 6 Operation 0 on Machine 1 : 1686 + 422 -> 2108
Job 5 Operation 1 on Machine 0 : 1844 + 492 -> 2336
Job 1 Operation 0 on Machine 1 : 2108 + 426 -> 2534
Job 6 Operation 1 on Machine 0 : 2336 + 110 -> 2446
Job 1 Operation 1 on Machine 0 : 2534 + 260 -> 2794
Job 8 Operation 1 on Machine 1 : 2534 + 443 -> 2977
Makespan: 2977.0, as it is the maximum end completion time of Operation 1
| null |
|
10 | 5 |
Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 289 mins.
Operation 1 on Machine 2 duration 11 mins.
Operation 2 on Machine 0 duration 350 mins.
Operation 3 on Machine 4 duration 190 mins.
Operation 4 on Machine 1 duration 370 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 365 mins.
Operation 1 on Machine 1 duration 115 mins.
Operation 2 on Machine 4 duration 150 mins.
Operation 3 on Machine 0 duration 385 mins.
Operation 4 on Machine 3 duration 236 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 202 mins.
Operation 1 on Machine 0 duration 243 mins.
Operation 2 on Machine 2 duration 15 mins.
Operation 3 on Machine 3 duration 263 mins.
Operation 4 on Machine 4 duration 293 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 154 mins.
Operation 1 on Machine 4 duration 102 mins.
Operation 2 on Machine 1 duration 12 mins.
Operation 3 on Machine 3 duration 167 mins.
Operation 4 on Machine 0 duration 103 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 10 mins.
Operation 1 on Machine 0 duration 312 mins.
Operation 2 on Machine 3 duration 141 mins.
Operation 3 on Machine 1 duration 398 mins.
Operation 4 on Machine 2 duration 397 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 161 mins.
Operation 1 on Machine 2 duration 267 mins.
Operation 2 on Machine 3 duration 2 mins.
Operation 3 on Machine 0 duration 98 mins.
Operation 4 on Machine 4 duration 163 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 288 mins.
Operation 1 on Machine 4 duration 250 mins.
Operation 2 on Machine 0 duration 12 mins.
Operation 3 on Machine 2 duration 127 mins.
Operation 4 on Machine 1 duration 354 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 414 mins.
Operation 1 on Machine 1 duration 163 mins.
Operation 2 on Machine 2 duration 277 mins.
Operation 3 on Machine 0 duration 99 mins.
Operation 4 on Machine 4 duration 32 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 424 mins.
Operation 1 on Machine 3 duration 113 mins.
Operation 2 on Machine 1 duration 400 mins.
Operation 3 on Machine 2 duration 103 mins.
Operation 4 on Machine 0 duration 7 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 335 mins.
Operation 1 on Machine 4 duration 120 mins.
Operation 2 on Machine 2 duration 151 mins.
Operation 3 on Machine 1 duration 225 mins.
Operation 4 on Machine 3 duration 362 mins.
| null |
Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 9 Operation 0 duration 335 mins.
Job 2 Operation 1 duration 243 mins.
Job 4 Operation 1 duration 312 mins.
Job 0 Operation 2 duration 350 mins.
Job 6 Operation 2 duration 12 mins.
Job 1 Operation 3 duration 385 mins.
Job 5 Operation 3 duration 98 mins.
Job 7 Operation 3 duration 99 mins.
Job 3 Operation 4 duration 103 mins.
Job 8 Operation 4 duration 7 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 202 mins.
Job 5 Operation 0 duration 161 mins.
Job 1 Operation 1 duration 115 mins.
Job 7 Operation 1 duration 163 mins.
Job 3 Operation 2 duration 12 mins.
Job 8 Operation 2 duration 400 mins.
Job 4 Operation 3 duration 398 mins.
Job 9 Operation 3 duration 225 mins.
Job 0 Operation 4 duration 370 mins.
Job 6 Operation 4 duration 354 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 365 mins.
Job 3 Operation 0 duration 154 mins.
Job 0 Operation 1 duration 11 mins.
Job 5 Operation 1 duration 267 mins.
Job 2 Operation 2 duration 15 mins.
Job 7 Operation 2 duration 277 mins.
Job 9 Operation 2 duration 151 mins.
Job 6 Operation 3 duration 127 mins.
Job 8 Operation 3 duration 103 mins.
Job 4 Operation 4 duration 397 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 289 mins.
Job 6 Operation 0 duration 288 mins.
Job 7 Operation 0 duration 414 mins.
Job 8 Operation 1 duration 113 mins.
Job 4 Operation 2 duration 141 mins.
Job 5 Operation 2 duration 2 mins.
Job 2 Operation 3 duration 263 mins.
Job 3 Operation 3 duration 167 mins.
Job 1 Operation 4 duration 236 mins.
Job 9 Operation 4 duration 362 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 10 mins.
Job 8 Operation 0 duration 424 mins.
Job 3 Operation 1 duration 102 mins.
Job 6 Operation 1 duration 250 mins.
Job 9 Operation 1 duration 120 mins.
Job 1 Operation 2 duration 150 mins.
Job 0 Operation 3 duration 190 mins.
Job 2 Operation 4 duration 293 mins.
Job 5 Operation 4 duration 163 mins.
Job 7 Operation 4 duration 32 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 1 : 0 + 161 -> 161
Job 1 Operation 0 on Machine 2 : 0 + 365 -> 365
Job 7 Operation 0 on Machine 3 : 0 + 414 -> 414
Job 4 Operation 0 on Machine 4 : 0 + 10 -> 10
Job 4 Operation 1 on Machine 0 : 10 + 312 -> 322
Job 8 Operation 0 on Machine 4 : 10 + 424 -> 434
Job 2 Operation 0 on Machine 1 : 161 + 202 -> 363
Job 9 Operation 0 on Machine 0 : 322 + 335 -> 657
Job 1 Operation 1 on Machine 1 : 365 + 115 -> 480
Job 3 Operation 0 on Machine 2 : 365 + 154 -> 519
Job 4 Operation 2 on Machine 3 : 414 + 141 -> 555
Job 7 Operation 1 on Machine 1 : 480 + 163 -> 643
Job 5 Operation 1 on Machine 2 : 519 + 267 -> 786
Job 3 Operation 1 on Machine 4 : 519 + 102 -> 621
Job 0 Operation 0 on Machine 3 : 555 + 289 -> 844
Job 1 Operation 2 on Machine 4 : 621 + 150 -> 771
Job 4 Operation 3 on Machine 1 : 643 + 398 -> 1041
Job 2 Operation 1 on Machine 0 : 657 + 243 -> 900
Job 9 Operation 1 on Machine 4 : 771 + 120 -> 891
Job 0 Operation 1 on Machine 2 : 844 + 11 -> 855
Job 5 Operation 2 on Machine 3 : 844 + 2 -> 846
Job 8 Operation 1 on Machine 3 : 846 + 113 -> 959
Job 7 Operation 2 on Machine 2 : 855 + 277 -> 1132
Job 0 Operation 2 on Machine 0 : 900 + 350 -> 1250
Job 6 Operation 0 on Machine 3 : 959 + 288 -> 1247
Job 3 Operation 2 on Machine 1 : 1041 + 12 -> 1053
Job 8 Operation 2 on Machine 1 : 1053 + 400 -> 1453
Job 9 Operation 2 on Machine 2 : 1132 + 151 -> 1283
Job 3 Operation 3 on Machine 3 : 1247 + 167 -> 1414
Job 1 Operation 3 on Machine 0 : 1250 + 385 -> 1635
Job 0 Operation 3 on Machine 4 : 1250 + 190 -> 1440
Job 2 Operation 2 on Machine 2 : 1283 + 15 -> 1298
Job 4 Operation 4 on Machine 2 : 1298 + 397 -> 1695
Job 2 Operation 3 on Machine 3 : 1414 + 263 -> 1677
Job 6 Operation 1 on Machine 4 : 1440 + 250 -> 1690
Job 9 Operation 3 on Machine 1 : 1453 + 225 -> 1678
Job 7 Operation 3 on Machine 0 : 1635 + 99 -> 1734
Job 1 Operation 4 on Machine 3 : 1677 + 236 -> 1913
Job 0 Operation 4 on Machine 1 : 1678 + 370 -> 2048
Job 6 Operation 2 on Machine 0 : 1734 + 12 -> 1746
Job 7 Operation 4 on Machine 4 : 1734 + 32 -> 1766
Job 5 Operation 3 on Machine 0 : 1746 + 98 -> 1844
Job 6 Operation 3 on Machine 2 : 1746 + 127 -> 1873
Job 3 Operation 4 on Machine 0 : 1844 + 103 -> 1947
Job 5 Operation 4 on Machine 4 : 1844 + 163 -> 2007
Job 8 Operation 3 on Machine 2 : 1873 + 103 -> 1976
Job 9 Operation 4 on Machine 3 : 1913 + 362 -> 2275
Job 8 Operation 4 on Machine 0 : 1976 + 7 -> 1983
Job 2 Operation 4 on Machine 4 : 2007 + 293 -> 2300
Job 6 Operation 4 on Machine 1 : 2048 + 354 -> 2402
Makespan: 2402.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 5 |
Optimize schedule for 9 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 206 mins.
Operation 1 on Machine 3 duration 78 mins.
Operation 2 on Machine 1 duration 137 mins.
Operation 3 on Machine 4 duration 57 mins.
Operation 4 on Machine 2 duration 188 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 208 mins.
Operation 1 on Machine 0 duration 40 mins.
Operation 2 on Machine 3 duration 58 mins.
Operation 3 on Machine 4 duration 1 mins.
Operation 4 on Machine 2 duration 45 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 174 mins.
Operation 1 on Machine 3 duration 59 mins.
Operation 2 on Machine 0 duration 93 mins.
Operation 3 on Machine 4 duration 207 mins.
Operation 4 on Machine 2 duration 142 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 173 mins.
Operation 1 on Machine 4 duration 82 mins.
Operation 2 on Machine 3 duration 39 mins.
Operation 3 on Machine 2 duration 207 mins.
Operation 4 on Machine 0 duration 191 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 103 mins.
Operation 1 on Machine 2 duration 145 mins.
Operation 2 on Machine 0 duration 203 mins.
Operation 3 on Machine 3 duration 125 mins.
Operation 4 on Machine 4 duration 25 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 71 mins.
Operation 1 on Machine 1 duration 92 mins.
Operation 2 on Machine 0 duration 88 mins.
Operation 3 on Machine 3 duration 193 mins.
Operation 4 on Machine 4 duration 109 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 25 mins.
Operation 1 on Machine 4 duration 83 mins.
Operation 2 on Machine 0 duration 81 mins.
Operation 3 on Machine 2 duration 81 mins.
Operation 4 on Machine 1 duration 150 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 131 mins.
Operation 1 on Machine 0 duration 73 mins.
Operation 2 on Machine 1 duration 57 mins.
Operation 3 on Machine 2 duration 182 mins.
Operation 4 on Machine 3 duration 44 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 168 mins.
Operation 1 on Machine 2 duration 3 mins.
Operation 2 on Machine 1 duration 150 mins.
Operation 3 on Machine 4 duration 44 mins.
Operation 4 on Machine 0 duration 141 mins.
| null |
Optimize schedule for 9 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 206 mins.
Job 1 Operation 1 duration 40 mins.
Job 7 Operation 1 duration 73 mins.
Job 2 Operation 2 duration 93 mins.
Job 4 Operation 2 duration 203 mins.
Job 5 Operation 2 duration 88 mins.
Job 6 Operation 2 duration 81 mins.
Job 3 Operation 4 duration 191 mins.
Job 8 Operation 4 duration 141 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 208 mins.
Job 2 Operation 0 duration 174 mins.
Job 3 Operation 0 duration 173 mins.
Job 4 Operation 0 duration 103 mins.
Job 5 Operation 1 duration 92 mins.
Job 0 Operation 2 duration 137 mins.
Job 7 Operation 2 duration 57 mins.
Job 8 Operation 2 duration 150 mins.
Job 6 Operation 4 duration 150 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 71 mins.
Job 4 Operation 1 duration 145 mins.
Job 8 Operation 1 duration 3 mins.
Job 3 Operation 3 duration 207 mins.
Job 6 Operation 3 duration 81 mins.
Job 7 Operation 3 duration 182 mins.
Job 0 Operation 4 duration 188 mins.
Job 1 Operation 4 duration 45 mins.
Job 2 Operation 4 duration 142 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 25 mins.
Job 8 Operation 0 duration 168 mins.
Job 0 Operation 1 duration 78 mins.
Job 2 Operation 1 duration 59 mins.
Job 1 Operation 2 duration 58 mins.
Job 3 Operation 2 duration 39 mins.
Job 4 Operation 3 duration 125 mins.
Job 5 Operation 3 duration 193 mins.
Job 7 Operation 4 duration 44 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 0 duration 131 mins.
Job 3 Operation 1 duration 82 mins.
Job 6 Operation 1 duration 83 mins.
Job 0 Operation 3 duration 57 mins.
Job 1 Operation 3 duration 1 mins.
Job 2 Operation 3 duration 207 mins.
Job 8 Operation 3 duration 44 mins.
Job 4 Operation 4 duration 25 mins.
Job 5 Operation 4 duration 109 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 206 -> 206
Job 4 Operation 0 on Machine 1 : 0 + 103 -> 103
Job 5 Operation 0 on Machine 2 : 0 + 71 -> 71
Job 6 Operation 0 on Machine 3 : 0 + 25 -> 25
Job 7 Operation 0 on Machine 4 : 0 + 131 -> 131
Job 8 Operation 0 on Machine 3 : 25 + 168 -> 193
Job 3 Operation 0 on Machine 1 : 103 + 173 -> 276
Job 6 Operation 1 on Machine 4 : 131 + 83 -> 214
Job 8 Operation 1 on Machine 2 : 193 + 3 -> 196
Job 4 Operation 1 on Machine 2 : 196 + 145 -> 341
Job 7 Operation 1 on Machine 0 : 206 + 73 -> 279
Job 2 Operation 0 on Machine 1 : 276 + 174 -> 450
Job 3 Operation 1 on Machine 4 : 276 + 82 -> 358
Job 6 Operation 2 on Machine 0 : 279 + 81 -> 360
Job 3 Operation 2 on Machine 3 : 358 + 39 -> 397
Job 4 Operation 2 on Machine 0 : 360 + 203 -> 563
Job 3 Operation 3 on Machine 2 : 397 + 207 -> 604
Job 0 Operation 1 on Machine 3 : 397 + 78 -> 475
Job 7 Operation 2 on Machine 1 : 450 + 57 -> 507
Job 2 Operation 1 on Machine 3 : 475 + 59 -> 534
Job 5 Operation 1 on Machine 1 : 507 + 92 -> 599
Job 2 Operation 2 on Machine 0 : 563 + 93 -> 656
Job 4 Operation 3 on Machine 3 : 563 + 125 -> 688
Job 0 Operation 2 on Machine 1 : 599 + 137 -> 736
Job 7 Operation 3 on Machine 2 : 604 + 182 -> 786
Job 5 Operation 2 on Machine 0 : 656 + 88 -> 744
Job 2 Operation 3 on Machine 4 : 656 + 207 -> 863
Job 8 Operation 2 on Machine 1 : 736 + 150 -> 886
Job 3 Operation 4 on Machine 0 : 744 + 191 -> 935
Job 6 Operation 3 on Machine 2 : 786 + 81 -> 867
Job 7 Operation 4 on Machine 3 : 786 + 44 -> 830
Job 5 Operation 3 on Machine 3 : 830 + 193 -> 1023
Job 2 Operation 4 on Machine 2 : 867 + 142 -> 1009
Job 1 Operation 0 on Machine 1 : 886 + 208 -> 1094
Job 8 Operation 3 on Machine 4 : 886 + 44 -> 930
Job 0 Operation 3 on Machine 4 : 930 + 57 -> 987
Job 8 Operation 4 on Machine 0 : 935 + 141 -> 1076
Job 0 Operation 4 on Machine 2 : 1009 + 188 -> 1197
Job 5 Operation 4 on Machine 4 : 1023 + 109 -> 1132
Job 1 Operation 1 on Machine 0 : 1094 + 40 -> 1134
Job 6 Operation 4 on Machine 1 : 1094 + 150 -> 1244
Job 4 Operation 4 on Machine 4 : 1132 + 25 -> 1157
Job 1 Operation 2 on Machine 3 : 1134 + 58 -> 1192
Job 1 Operation 3 on Machine 4 : 1192 + 1 -> 1193
Job 1 Operation 4 on Machine 2 : 1197 + 45 -> 1242
Makespan: 1244.0, as it is the maximum end completion time of Operation 4
| null |
|
7 | 2 |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 23 mins.
Operation 1 on Machine 0 duration 82 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 102 mins.
Operation 1 on Machine 0 duration 96 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 121 mins.
Operation 1 on Machine 1 duration 77 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 80 mins.
Operation 1 on Machine 1 duration 10 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 74 mins.
Operation 1 on Machine 0 duration 101 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 92 mins.
Operation 1 on Machine 0 duration 3 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 143 mins.
Operation 1 on Machine 0 duration 77 mins.
| null |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 121 mins.
Job 3 Operation 0 duration 80 mins.
Job 0 Operation 1 duration 82 mins.
Job 1 Operation 1 duration 96 mins.
Job 4 Operation 1 duration 101 mins.
Job 5 Operation 1 duration 3 mins.
Job 6 Operation 1 duration 77 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 23 mins.
Job 1 Operation 0 duration 102 mins.
Job 4 Operation 0 duration 74 mins.
Job 5 Operation 0 duration 92 mins.
Job 6 Operation 0 duration 143 mins.
Job 2 Operation 1 duration 77 mins.
Job 3 Operation 1 duration 10 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 80 -> 80
Job 0 Operation 0 on Machine 1 : 0 + 23 -> 23
Job 4 Operation 0 on Machine 1 : 23 + 74 -> 97
Job 0 Operation 1 on Machine 0 : 80 + 82 -> 162
Job 3 Operation 1 on Machine 1 : 97 + 10 -> 107
Job 5 Operation 0 on Machine 1 : 107 + 92 -> 199
Job 4 Operation 1 on Machine 0 : 162 + 101 -> 263
Job 1 Operation 0 on Machine 1 : 199 + 102 -> 301
Job 5 Operation 1 on Machine 0 : 263 + 3 -> 266
Job 2 Operation 0 on Machine 0 : 266 + 121 -> 387
Job 6 Operation 0 on Machine 1 : 301 + 143 -> 444
Job 1 Operation 1 on Machine 0 : 387 + 96 -> 483
Job 2 Operation 1 on Machine 1 : 444 + 77 -> 521
Job 6 Operation 1 on Machine 0 : 483 + 77 -> 560
Makespan: 560.0, as it is the maximum end completion time of Operation 1
| null |
|
8 | 4 |
Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 405 mins.
Operation 1 on Machine 2 duration 387 mins.
Operation 2 on Machine 1 duration 50 mins.
Operation 3 on Machine 0 duration 410 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 66 mins.
Operation 1 on Machine 3 duration 18 mins.
Operation 2 on Machine 2 duration 174 mins.
Operation 3 on Machine 1 duration 19 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 245 mins.
Operation 1 on Machine 3 duration 284 mins.
Operation 2 on Machine 1 duration 205 mins.
Operation 3 on Machine 0 duration 266 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 226 mins.
Operation 1 on Machine 3 duration 315 mins.
Operation 2 on Machine 0 duration 70 mins.
Operation 3 on Machine 1 duration 136 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 400 mins.
Operation 1 on Machine 3 duration 82 mins.
Operation 2 on Machine 1 duration 229 mins.
Operation 3 on Machine 0 duration 230 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 237 mins.
Operation 1 on Machine 0 duration 205 mins.
Operation 2 on Machine 3 duration 251 mins.
Operation 3 on Machine 2 duration 58 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 334 mins.
Operation 1 on Machine 1 duration 418 mins.
Operation 2 on Machine 3 duration 299 mins.
Operation 3 on Machine 2 duration 464 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 41 mins.
Operation 1 on Machine 1 duration 183 mins.
Operation 2 on Machine 3 duration 327 mins.
Operation 3 on Machine 0 duration 276 mins.
| null |
Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 66 mins.
Job 6 Operation 0 duration 334 mins.
Job 5 Operation 1 duration 205 mins.
Job 3 Operation 2 duration 70 mins.
Job 0 Operation 3 duration 410 mins.
Job 2 Operation 3 duration 266 mins.
Job 4 Operation 3 duration 230 mins.
Job 7 Operation 3 duration 276 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 237 mins.
Job 6 Operation 1 duration 418 mins.
Job 7 Operation 1 duration 183 mins.
Job 0 Operation 2 duration 50 mins.
Job 2 Operation 2 duration 205 mins.
Job 4 Operation 2 duration 229 mins.
Job 1 Operation 3 duration 19 mins.
Job 3 Operation 3 duration 136 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 245 mins.
Job 3 Operation 0 duration 226 mins.
Job 4 Operation 0 duration 400 mins.
Job 7 Operation 0 duration 41 mins.
Job 0 Operation 1 duration 387 mins.
Job 1 Operation 2 duration 174 mins.
Job 5 Operation 3 duration 58 mins.
Job 6 Operation 3 duration 464 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 405 mins.
Job 1 Operation 1 duration 18 mins.
Job 2 Operation 1 duration 284 mins.
Job 3 Operation 1 duration 315 mins.
Job 4 Operation 1 duration 82 mins.
Job 5 Operation 2 duration 251 mins.
Job 6 Operation 2 duration 299 mins.
Job 7 Operation 2 duration 327 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 334 -> 334
Job 5 Operation 0 on Machine 1 : 0 + 237 -> 237
Job 7 Operation 0 on Machine 2 : 0 + 41 -> 41
Job 0 Operation 0 on Machine 3 : 0 + 405 -> 405
Job 2 Operation 0 on Machine 2 : 41 + 245 -> 286
Job 7 Operation 1 on Machine 1 : 237 + 183 -> 420
Job 3 Operation 0 on Machine 2 : 286 + 226 -> 512
Job 1 Operation 0 on Machine 0 : 334 + 66 -> 400
Job 5 Operation 1 on Machine 0 : 400 + 205 -> 605
Job 1 Operation 1 on Machine 3 : 405 + 18 -> 423
Job 6 Operation 1 on Machine 1 : 420 + 418 -> 838
Job 7 Operation 2 on Machine 3 : 423 + 327 -> 750
Job 0 Operation 1 on Machine 2 : 512 + 387 -> 899
Job 7 Operation 3 on Machine 0 : 750 + 276 -> 1026
Job 2 Operation 1 on Machine 3 : 750 + 284 -> 1034
Job 0 Operation 2 on Machine 1 : 899 + 50 -> 949
Job 4 Operation 0 on Machine 2 : 899 + 400 -> 1299
Job 0 Operation 3 on Machine 0 : 1026 + 410 -> 1436
Job 2 Operation 2 on Machine 1 : 1034 + 205 -> 1239
Job 6 Operation 2 on Machine 3 : 1034 + 299 -> 1333
Job 1 Operation 2 on Machine 2 : 1299 + 174 -> 1473
Job 4 Operation 1 on Machine 3 : 1333 + 82 -> 1415
Job 3 Operation 1 on Machine 3 : 1415 + 315 -> 1730
Job 2 Operation 3 on Machine 0 : 1436 + 266 -> 1702
Job 1 Operation 3 on Machine 1 : 1473 + 19 -> 1492
Job 6 Operation 3 on Machine 2 : 1473 + 464 -> 1937
Job 4 Operation 2 on Machine 1 : 1492 + 229 -> 1721
Job 3 Operation 2 on Machine 0 : 1730 + 70 -> 1800
Job 5 Operation 2 on Machine 3 : 1730 + 251 -> 1981
Job 4 Operation 3 on Machine 0 : 1800 + 230 -> 2030
Job 3 Operation 3 on Machine 1 : 1800 + 136 -> 1936
Job 5 Operation 3 on Machine 2 : 1981 + 58 -> 2039
Makespan: 2039.0, as it is the maximum end completion time of Operation 3
| null |
|
7 | 4 |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 95 mins.
Operation 1 on Machine 1 duration 11 mins.
Operation 2 on Machine 0 duration 353 mins.
Operation 3 on Machine 2 duration 275 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 137 mins.
Operation 1 on Machine 3 duration 364 mins.
Operation 2 on Machine 1 duration 364 mins.
Operation 3 on Machine 0 duration 116 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 176 mins.
Operation 1 on Machine 2 duration 39 mins.
Operation 2 on Machine 1 duration 228 mins.
Operation 3 on Machine 0 duration 208 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 298 mins.
Operation 1 on Machine 2 duration 297 mins.
Operation 2 on Machine 1 duration 89 mins.
Operation 3 on Machine 3 duration 44 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 92 mins.
Operation 1 on Machine 3 duration 345 mins.
Operation 2 on Machine 2 duration 361 mins.
Operation 3 on Machine 1 duration 78 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 207 mins.
Operation 1 on Machine 1 duration 184 mins.
Operation 2 on Machine 2 duration 303 mins.
Operation 3 on Machine 3 duration 229 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 340 mins.
Operation 1 on Machine 2 duration 266 mins.
Operation 2 on Machine 0 duration 108 mins.
Operation 3 on Machine 1 duration 182 mins.
| null |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 298 mins.
Job 4 Operation 0 duration 92 mins.
Job 5 Operation 0 duration 207 mins.
Job 0 Operation 2 duration 353 mins.
Job 6 Operation 2 duration 108 mins.
Job 1 Operation 3 duration 116 mins.
Job 2 Operation 3 duration 208 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 11 mins.
Job 5 Operation 1 duration 184 mins.
Job 1 Operation 2 duration 364 mins.
Job 2 Operation 2 duration 228 mins.
Job 3 Operation 2 duration 89 mins.
Job 4 Operation 3 duration 78 mins.
Job 6 Operation 3 duration 182 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 137 mins.
Job 2 Operation 1 duration 39 mins.
Job 3 Operation 1 duration 297 mins.
Job 6 Operation 1 duration 266 mins.
Job 4 Operation 2 duration 361 mins.
Job 5 Operation 2 duration 303 mins.
Job 0 Operation 3 duration 275 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 95 mins.
Job 2 Operation 0 duration 176 mins.
Job 6 Operation 0 duration 340 mins.
Job 1 Operation 1 duration 364 mins.
Job 4 Operation 1 duration 345 mins.
Job 3 Operation 3 duration 44 mins.
Job 5 Operation 3 duration 229 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 298 -> 298
Job 1 Operation 0 on Machine 2 : 0 + 137 -> 137
Job 2 Operation 0 on Machine 3 : 0 + 176 -> 176
Job 2 Operation 1 on Machine 2 : 176 + 39 -> 215
Job 6 Operation 0 on Machine 3 : 176 + 340 -> 516
Job 2 Operation 2 on Machine 1 : 215 + 228 -> 443
Job 5 Operation 0 on Machine 0 : 298 + 207 -> 505
Job 3 Operation 1 on Machine 2 : 298 + 297 -> 595
Job 4 Operation 0 on Machine 0 : 505 + 92 -> 597
Job 5 Operation 1 on Machine 1 : 505 + 184 -> 689
Job 0 Operation 0 on Machine 3 : 516 + 95 -> 611
Job 6 Operation 1 on Machine 2 : 595 + 266 -> 861
Job 2 Operation 3 on Machine 0 : 597 + 208 -> 805
Job 4 Operation 1 on Machine 3 : 611 + 345 -> 956
Job 3 Operation 2 on Machine 1 : 689 + 89 -> 778
Job 0 Operation 1 on Machine 1 : 778 + 11 -> 789
Job 6 Operation 2 on Machine 0 : 861 + 108 -> 969
Job 5 Operation 2 on Machine 2 : 861 + 303 -> 1164
Job 1 Operation 1 on Machine 3 : 956 + 364 -> 1320
Job 0 Operation 2 on Machine 0 : 969 + 353 -> 1322
Job 6 Operation 3 on Machine 1 : 969 + 182 -> 1151
Job 4 Operation 2 on Machine 2 : 1164 + 361 -> 1525
Job 1 Operation 2 on Machine 1 : 1320 + 364 -> 1684
Job 5 Operation 3 on Machine 3 : 1320 + 229 -> 1549
Job 0 Operation 3 on Machine 2 : 1525 + 275 -> 1800
Job 3 Operation 3 on Machine 3 : 1549 + 44 -> 1593
Job 1 Operation 3 on Machine 0 : 1684 + 116 -> 1800
Job 4 Operation 3 on Machine 1 : 1684 + 78 -> 1762
Makespan: 1800.0, as it is the maximum end completion time of Operation 3
| null |
|
10 | 10 |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 7 duration 178 mins.
Operation 1 on Machine 1 duration 59 mins.
Operation 2 on Machine 0 duration 270 mins.
Operation 3 on Machine 4 duration 5 mins.
Operation 4 on Machine 9 duration 274 mins.
Operation 5 on Machine 3 duration 24 mins.
Operation 6 on Machine 6 duration 127 mins.
Operation 7 on Machine 2 duration 255 mins.
Operation 8 on Machine 5 duration 305 mins.
Operation 9 on Machine 8 duration 128 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 8 duration 295 mins.
Operation 1 on Machine 7 duration 234 mins.
Operation 2 on Machine 2 duration 289 mins.
Operation 3 on Machine 0 duration 1 mins.
Operation 4 on Machine 6 duration 117 mins.
Operation 5 on Machine 1 duration 202 mins.
Operation 6 on Machine 5 duration 67 mins.
Operation 7 on Machine 9 duration 86 mins.
Operation 8 on Machine 4 duration 69 mins.
Operation 9 on Machine 3 duration 161 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 305 mins.
Operation 1 on Machine 8 duration 33 mins.
Operation 2 on Machine 5 duration 73 mins.
Operation 3 on Machine 3 duration 246 mins.
Operation 4 on Machine 0 duration 194 mins.
Operation 5 on Machine 4 duration 134 mins.
Operation 6 on Machine 9 duration 206 mins.
Operation 7 on Machine 2 duration 283 mins.
Operation 8 on Machine 1 duration 200 mins.
Operation 9 on Machine 7 duration 3 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 305 mins.
Operation 1 on Machine 2 duration 36 mins.
Operation 2 on Machine 0 duration 165 mins.
Operation 3 on Machine 9 duration 300 mins.
Operation 4 on Machine 4 duration 29 mins.
Operation 5 on Machine 1 duration 289 mins.
Operation 6 on Machine 3 duration 281 mins.
Operation 7 on Machine 7 duration 163 mins.
Operation 8 on Machine 8 duration 208 mins.
Operation 9 on Machine 6 duration 177 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 240 mins.
Operation 1 on Machine 0 duration 81 mins.
Operation 2 on Machine 7 duration 155 mins.
Operation 3 on Machine 4 duration 297 mins.
Operation 4 on Machine 8 duration 116 mins.
Operation 5 on Machine 3 duration 141 mins.
Operation 6 on Machine 2 duration 256 mins.
Operation 7 on Machine 1 duration 179 mins.
Operation 8 on Machine 5 duration 115 mins.
Operation 9 on Machine 9 duration 285 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 132 mins.
Operation 1 on Machine 3 duration 284 mins.
Operation 2 on Machine 7 duration 43 mins.
Operation 3 on Machine 4 duration 58 mins.
Operation 4 on Machine 6 duration 210 mins.
Operation 5 on Machine 2 duration 22 mins.
Operation 6 on Machine 9 duration 115 mins.
Operation 7 on Machine 8 duration 245 mins.
Operation 8 on Machine 5 duration 280 mins.
Operation 9 on Machine 0 duration 278 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 277 mins.
Operation 1 on Machine 5 duration 229 mins.
Operation 2 on Machine 3 duration 297 mins.
Operation 3 on Machine 7 duration 137 mins.
Operation 4 on Machine 0 duration 150 mins.
Operation 5 on Machine 2 duration 8 mins.
Operation 6 on Machine 9 duration 284 mins.
Operation 7 on Machine 8 duration 285 mins.
Operation 8 on Machine 1 duration 121 mins.
Operation 9 on Machine 4 duration 10 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 298 mins.
Operation 1 on Machine 4 duration 190 mins.
Operation 2 on Machine 1 duration 109 mins.
Operation 3 on Machine 8 duration 175 mins.
Operation 4 on Machine 5 duration 210 mins.
Operation 5 on Machine 7 duration 107 mins.
Operation 6 on Machine 6 duration 150 mins.
Operation 7 on Machine 9 duration 48 mins.
Operation 8 on Machine 3 duration 257 mins.
Operation 9 on Machine 0 duration 36 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 8 duration 293 mins.
Operation 1 on Machine 6 duration 15 mins.
Operation 2 on Machine 2 duration 182 mins.
Operation 3 on Machine 3 duration 286 mins.
Operation 4 on Machine 1 duration 57 mins.
Operation 5 on Machine 4 duration 278 mins.
Operation 6 on Machine 7 duration 224 mins.
Operation 7 on Machine 9 duration 252 mins.
Operation 8 on Machine 0 duration 19 mins.
Operation 9 on Machine 5 duration 201 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 8 duration 6 mins.
Operation 1 on Machine 0 duration 286 mins.
Operation 2 on Machine 9 duration 294 mins.
Operation 3 on Machine 3 duration 162 mins.
Operation 4 on Machine 4 duration 24 mins.
Operation 5 on Machine 6 duration 88 mins.
Operation 6 on Machine 2 duration 173 mins.
Operation 7 on Machine 5 duration 182 mins.
Operation 8 on Machine 7 duration 197 mins.
Operation 9 on Machine 1 duration 67 mins.
| null |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 1 duration 81 mins.
Job 9 Operation 1 duration 286 mins.
Job 0 Operation 2 duration 270 mins.
Job 3 Operation 2 duration 165 mins.
Job 1 Operation 3 duration 1 mins.
Job 2 Operation 4 duration 194 mins.
Job 6 Operation 4 duration 150 mins.
Job 8 Operation 8 duration 19 mins.
Job 5 Operation 9 duration 278 mins.
Job 7 Operation 9 duration 36 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 132 mins.
Job 0 Operation 1 duration 59 mins.
Job 7 Operation 2 duration 109 mins.
Job 8 Operation 4 duration 57 mins.
Job 1 Operation 5 duration 202 mins.
Job 3 Operation 5 duration 289 mins.
Job 4 Operation 7 duration 179 mins.
Job 2 Operation 8 duration 200 mins.
Job 6 Operation 8 duration 121 mins.
Job 9 Operation 9 duration 67 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 298 mins.
Job 3 Operation 1 duration 36 mins.
Job 1 Operation 2 duration 289 mins.
Job 8 Operation 2 duration 182 mins.
Job 5 Operation 5 duration 22 mins.
Job 6 Operation 5 duration 8 mins.
Job 4 Operation 6 duration 256 mins.
Job 9 Operation 6 duration 173 mins.
Job 0 Operation 7 duration 255 mins.
Job 2 Operation 7 duration 283 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 1 duration 284 mins.
Job 6 Operation 2 duration 297 mins.
Job 2 Operation 3 duration 246 mins.
Job 8 Operation 3 duration 286 mins.
Job 9 Operation 3 duration 162 mins.
Job 0 Operation 5 duration 24 mins.
Job 4 Operation 5 duration 141 mins.
Job 3 Operation 6 duration 281 mins.
Job 7 Operation 8 duration 257 mins.
Job 1 Operation 9 duration 161 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 1 duration 190 mins.
Job 0 Operation 3 duration 5 mins.
Job 4 Operation 3 duration 297 mins.
Job 5 Operation 3 duration 58 mins.
Job 3 Operation 4 duration 29 mins.
Job 9 Operation 4 duration 24 mins.
Job 2 Operation 5 duration 134 mins.
Job 8 Operation 5 duration 278 mins.
Job 1 Operation 8 duration 69 mins.
Job 6 Operation 9 duration 10 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 305 mins.
Job 6 Operation 1 duration 229 mins.
Job 2 Operation 2 duration 73 mins.
Job 7 Operation 4 duration 210 mins.
Job 1 Operation 6 duration 67 mins.
Job 9 Operation 7 duration 182 mins.
Job 0 Operation 8 duration 305 mins.
Job 4 Operation 8 duration 115 mins.
Job 5 Operation 8 duration 280 mins.
Job 8 Operation 9 duration 201 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 305 mins.
Job 4 Operation 0 duration 240 mins.
Job 6 Operation 0 duration 277 mins.
Job 8 Operation 1 duration 15 mins.
Job 1 Operation 4 duration 117 mins.
Job 5 Operation 4 duration 210 mins.
Job 9 Operation 5 duration 88 mins.
Job 0 Operation 6 duration 127 mins.
Job 7 Operation 6 duration 150 mins.
Job 3 Operation 9 duration 177 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 0 duration 178 mins.
Job 1 Operation 1 duration 234 mins.
Job 4 Operation 2 duration 155 mins.
Job 5 Operation 2 duration 43 mins.
Job 6 Operation 3 duration 137 mins.
Job 7 Operation 5 duration 107 mins.
Job 8 Operation 6 duration 224 mins.
Job 3 Operation 7 duration 163 mins.
Job 9 Operation 8 duration 197 mins.
Job 2 Operation 9 duration 3 mins.
Machine 8 is used for the following Operations:
Job 1 Operation 0 duration 295 mins.
Job 8 Operation 0 duration 293 mins.
Job 9 Operation 0 duration 6 mins.
Job 2 Operation 1 duration 33 mins.
Job 7 Operation 3 duration 175 mins.
Job 4 Operation 4 duration 116 mins.
Job 5 Operation 7 duration 245 mins.
Job 6 Operation 7 duration 285 mins.
Job 3 Operation 8 duration 208 mins.
Job 0 Operation 9 duration 128 mins.
Machine 9 is used for the following Operations:
Job 9 Operation 2 duration 294 mins.
Job 3 Operation 3 duration 300 mins.
Job 0 Operation 4 duration 274 mins.
Job 2 Operation 6 duration 206 mins.
Job 5 Operation 6 duration 115 mins.
Job 6 Operation 6 duration 284 mins.
Job 1 Operation 7 duration 86 mins.
Job 7 Operation 7 duration 48 mins.
Job 8 Operation 7 duration 252 mins.
Job 4 Operation 9 duration 285 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 1 : 0 + 132 -> 132
Job 7 Operation 0 on Machine 2 : 0 + 298 -> 298
Job 3 Operation 0 on Machine 5 : 0 + 305 -> 305
Job 6 Operation 0 on Machine 6 : 0 + 277 -> 277
Job 0 Operation 0 on Machine 7 : 0 + 178 -> 178
Job 9 Operation 0 on Machine 8 : 0 + 6 -> 6
Job 9 Operation 1 on Machine 0 : 6 + 286 -> 292
Job 8 Operation 0 on Machine 8 : 6 + 293 -> 299
Job 5 Operation 1 on Machine 3 : 132 + 284 -> 416
Job 0 Operation 1 on Machine 1 : 178 + 59 -> 237
Job 4 Operation 0 on Machine 6 : 277 + 240 -> 517
Job 0 Operation 2 on Machine 0 : 292 + 270 -> 562
Job 9 Operation 2 on Machine 9 : 292 + 294 -> 586
Job 1 Operation 0 on Machine 8 : 299 + 295 -> 594
Job 3 Operation 1 on Machine 2 : 305 + 36 -> 341
Job 6 Operation 1 on Machine 5 : 305 + 229 -> 534
Job 5 Operation 2 on Machine 7 : 416 + 43 -> 459
Job 5 Operation 3 on Machine 4 : 459 + 58 -> 517
Job 8 Operation 1 on Machine 6 : 517 + 15 -> 532
Job 8 Operation 2 on Machine 2 : 532 + 182 -> 714
Job 5 Operation 4 on Machine 6 : 532 + 210 -> 742
Job 6 Operation 2 on Machine 3 : 534 + 297 -> 831
Job 3 Operation 2 on Machine 0 : 562 + 165 -> 727
Job 0 Operation 3 on Machine 4 : 562 + 5 -> 567
Job 7 Operation 1 on Machine 4 : 567 + 190 -> 757
Job 0 Operation 4 on Machine 9 : 586 + 274 -> 860
Job 1 Operation 1 on Machine 7 : 594 + 234 -> 828
Job 4 Operation 1 on Machine 0 : 727 + 81 -> 808
Job 5 Operation 5 on Machine 2 : 742 + 22 -> 764
Job 2 Operation 0 on Machine 6 : 742 + 305 -> 1047
Job 7 Operation 2 on Machine 1 : 757 + 109 -> 866
Job 1 Operation 2 on Machine 2 : 828 + 289 -> 1117
Job 4 Operation 2 on Machine 7 : 828 + 155 -> 983
Job 8 Operation 3 on Machine 3 : 831 + 286 -> 1117
Job 5 Operation 6 on Machine 9 : 860 + 115 -> 975
Job 7 Operation 3 on Machine 8 : 866 + 175 -> 1041
Job 3 Operation 3 on Machine 9 : 975 + 300 -> 1275
Job 4 Operation 3 on Machine 4 : 983 + 297 -> 1280
Job 6 Operation 3 on Machine 7 : 983 + 137 -> 1120
Job 2 Operation 1 on Machine 8 : 1047 + 33 -> 1080
Job 2 Operation 2 on Machine 5 : 1080 + 73 -> 1153
Job 5 Operation 7 on Machine 8 : 1080 + 245 -> 1325
Job 1 Operation 3 on Machine 0 : 1117 + 1 -> 1118
Job 8 Operation 4 on Machine 1 : 1117 + 57 -> 1174
Job 0 Operation 5 on Machine 3 : 1117 + 24 -> 1141
Job 6 Operation 4 on Machine 0 : 1120 + 150 -> 1270
Job 0 Operation 6 on Machine 6 : 1141 + 127 -> 1268
Job 2 Operation 3 on Machine 3 : 1153 + 246 -> 1399
Job 7 Operation 4 on Machine 5 : 1153 + 210 -> 1363
Job 1 Operation 4 on Machine 6 : 1268 + 117 -> 1385
Job 6 Operation 5 on Machine 2 : 1270 + 8 -> 1278
Job 0 Operation 7 on Machine 2 : 1278 + 255 -> 1533
Job 6 Operation 6 on Machine 9 : 1278 + 284 -> 1562
Job 3 Operation 4 on Machine 4 : 1280 + 29 -> 1309
Job 3 Operation 5 on Machine 1 : 1309 + 289 -> 1598
Job 8 Operation 5 on Machine 4 : 1309 + 278 -> 1587
Job 4 Operation 4 on Machine 8 : 1325 + 116 -> 1441
Job 5 Operation 8 on Machine 5 : 1363 + 280 -> 1643
Job 7 Operation 5 on Machine 7 : 1363 + 107 -> 1470
Job 2 Operation 4 on Machine 0 : 1399 + 194 -> 1593
Job 4 Operation 5 on Machine 3 : 1441 + 141 -> 1582
Job 7 Operation 6 on Machine 6 : 1470 + 150 -> 1620
Job 6 Operation 7 on Machine 8 : 1562 + 285 -> 1847
Job 4 Operation 6 on Machine 2 : 1582 + 256 -> 1838
Job 9 Operation 3 on Machine 3 : 1582 + 162 -> 1744
Job 8 Operation 6 on Machine 7 : 1587 + 224 -> 1811
Job 2 Operation 5 on Machine 4 : 1593 + 134 -> 1727
Job 1 Operation 5 on Machine 1 : 1598 + 202 -> 1800
Job 7 Operation 7 on Machine 9 : 1620 + 48 -> 1668
Job 5 Operation 9 on Machine 0 : 1643 + 278 -> 1921
Job 0 Operation 8 on Machine 5 : 1643 + 305 -> 1948
Job 2 Operation 6 on Machine 9 : 1727 + 206 -> 1933
Job 3 Operation 6 on Machine 3 : 1744 + 281 -> 2025
Job 9 Operation 4 on Machine 4 : 1744 + 24 -> 1768
Job 9 Operation 5 on Machine 6 : 1768 + 88 -> 1856
Job 4 Operation 7 on Machine 1 : 1838 + 179 -> 2017
Job 9 Operation 6 on Machine 2 : 1856 + 173 -> 2029
Job 8 Operation 7 on Machine 9 : 1933 + 252 -> 2185
Job 1 Operation 6 on Machine 5 : 1948 + 67 -> 2015
Job 6 Operation 8 on Machine 1 : 2017 + 121 -> 2138
Job 4 Operation 8 on Machine 5 : 2017 + 115 -> 2132
Job 7 Operation 8 on Machine 3 : 2025 + 257 -> 2282
Job 3 Operation 7 on Machine 7 : 2025 + 163 -> 2188
Job 2 Operation 7 on Machine 2 : 2029 + 283 -> 2312
Job 9 Operation 7 on Machine 5 : 2132 + 182 -> 2314
Job 1 Operation 7 on Machine 9 : 2185 + 86 -> 2271
Job 3 Operation 8 on Machine 8 : 2188 + 208 -> 2396
Job 1 Operation 8 on Machine 4 : 2271 + 69 -> 2340
Job 4 Operation 9 on Machine 9 : 2271 + 285 -> 2556
Job 7 Operation 9 on Machine 0 : 2282 + 36 -> 2318
Job 2 Operation 8 on Machine 1 : 2312 + 200 -> 2512
Job 9 Operation 8 on Machine 7 : 2314 + 197 -> 2511
Job 8 Operation 8 on Machine 0 : 2318 + 19 -> 2337
Job 8 Operation 9 on Machine 5 : 2337 + 201 -> 2538
Job 1 Operation 9 on Machine 3 : 2340 + 161 -> 2501
Job 6 Operation 9 on Machine 4 : 2340 + 10 -> 2350
Job 3 Operation 9 on Machine 6 : 2396 + 177 -> 2573
Job 0 Operation 9 on Machine 8 : 2396 + 128 -> 2524
Job 9 Operation 9 on Machine 1 : 2512 + 67 -> 2579
Job 2 Operation 9 on Machine 7 : 2512 + 3 -> 2515
Makespan: 2579.0, as it is the maximum end completion time of Operation 9
| null |
|
7 | 5 |
Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 10 mins.
Operation 1 on Machine 1 duration 200 mins.
Operation 2 on Machine 2 duration 363 mins.
Operation 3 on Machine 3 duration 87 mins.
Operation 4 on Machine 0 duration 344 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 381 mins.
Operation 1 on Machine 2 duration 346 mins.
Operation 2 on Machine 0 duration 129 mins.
Operation 3 on Machine 3 duration 486 mins.
Operation 4 on Machine 1 duration 465 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 177 mins.
Operation 1 on Machine 3 duration 435 mins.
Operation 2 on Machine 2 duration 75 mins.
Operation 3 on Machine 4 duration 313 mins.
Operation 4 on Machine 1 duration 76 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 458 mins.
Operation 1 on Machine 4 duration 334 mins.
Operation 2 on Machine 0 duration 312 mins.
Operation 3 on Machine 3 duration 447 mins.
Operation 4 on Machine 2 duration 242 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 79 mins.
Operation 1 on Machine 2 duration 90 mins.
Operation 2 on Machine 3 duration 27 mins.
Operation 3 on Machine 0 duration 214 mins.
Operation 4 on Machine 1 duration 381 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 96 mins.
Operation 1 on Machine 4 duration 82 mins.
Operation 2 on Machine 2 duration 292 mins.
Operation 3 on Machine 3 duration 395 mins.
Operation 4 on Machine 1 duration 49 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 473 mins.
Operation 1 on Machine 2 duration 89 mins.
Operation 2 on Machine 3 duration 159 mins.
Operation 3 on Machine 1 duration 411 mins.
Operation 4 on Machine 0 duration 374 mins.
| null |
Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 177 mins.
Job 5 Operation 0 duration 96 mins.
Job 1 Operation 2 duration 129 mins.
Job 3 Operation 2 duration 312 mins.
Job 4 Operation 3 duration 214 mins.
Job 0 Operation 4 duration 344 mins.
Job 6 Operation 4 duration 374 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 458 mins.
Job 0 Operation 1 duration 200 mins.
Job 6 Operation 3 duration 411 mins.
Job 1 Operation 4 duration 465 mins.
Job 2 Operation 4 duration 76 mins.
Job 4 Operation 4 duration 381 mins.
Job 5 Operation 4 duration 49 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 346 mins.
Job 4 Operation 1 duration 90 mins.
Job 6 Operation 1 duration 89 mins.
Job 0 Operation 2 duration 363 mins.
Job 2 Operation 2 duration 75 mins.
Job 5 Operation 2 duration 292 mins.
Job 3 Operation 4 duration 242 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 435 mins.
Job 4 Operation 2 duration 27 mins.
Job 6 Operation 2 duration 159 mins.
Job 0 Operation 3 duration 87 mins.
Job 1 Operation 3 duration 486 mins.
Job 3 Operation 3 duration 447 mins.
Job 5 Operation 3 duration 395 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 10 mins.
Job 1 Operation 0 duration 381 mins.
Job 4 Operation 0 duration 79 mins.
Job 6 Operation 0 duration 473 mins.
Job 3 Operation 1 duration 334 mins.
Job 5 Operation 1 duration 82 mins.
Job 2 Operation 3 duration 313 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 96 -> 96
Job 3 Operation 0 on Machine 1 : 0 + 458 -> 458
Job 1 Operation 0 on Machine 4 : 0 + 381 -> 381
Job 2 Operation 0 on Machine 0 : 96 + 177 -> 273
Job 2 Operation 1 on Machine 3 : 273 + 435 -> 708
Job 1 Operation 1 on Machine 2 : 381 + 346 -> 727
Job 0 Operation 0 on Machine 4 : 381 + 10 -> 391
Job 4 Operation 0 on Machine 4 : 391 + 79 -> 470
Job 0 Operation 1 on Machine 1 : 458 + 200 -> 658
Job 6 Operation 0 on Machine 4 : 470 + 473 -> 943
Job 1 Operation 2 on Machine 0 : 727 + 129 -> 856
Job 4 Operation 1 on Machine 2 : 727 + 90 -> 817
Job 0 Operation 2 on Machine 2 : 817 + 363 -> 1180
Job 4 Operation 2 on Machine 3 : 817 + 27 -> 844
Job 4 Operation 3 on Machine 0 : 856 + 214 -> 1070
Job 1 Operation 3 on Machine 3 : 856 + 486 -> 1342
Job 3 Operation 1 on Machine 4 : 943 + 334 -> 1277
Job 4 Operation 4 on Machine 1 : 1070 + 381 -> 1451
Job 6 Operation 1 on Machine 2 : 1180 + 89 -> 1269
Job 2 Operation 2 on Machine 2 : 1269 + 75 -> 1344
Job 3 Operation 2 on Machine 0 : 1277 + 312 -> 1589
Job 5 Operation 1 on Machine 4 : 1277 + 82 -> 1359
Job 6 Operation 2 on Machine 3 : 1342 + 159 -> 1501
Job 5 Operation 2 on Machine 2 : 1359 + 292 -> 1651
Job 2 Operation 3 on Machine 4 : 1359 + 313 -> 1672
Job 6 Operation 3 on Machine 1 : 1501 + 411 -> 1912
Job 0 Operation 3 on Machine 3 : 1501 + 87 -> 1588
Job 0 Operation 4 on Machine 0 : 1589 + 344 -> 1933
Job 3 Operation 3 on Machine 3 : 1589 + 447 -> 2036
Job 2 Operation 4 on Machine 1 : 1912 + 76 -> 1988
Job 6 Operation 4 on Machine 0 : 1933 + 374 -> 2307
Job 1 Operation 4 on Machine 1 : 1988 + 465 -> 2453
Job 3 Operation 4 on Machine 2 : 2036 + 242 -> 2278
Job 5 Operation 3 on Machine 3 : 2036 + 395 -> 2431
Job 5 Operation 4 on Machine 1 : 2453 + 49 -> 2502
Makespan: 2502.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 3 |
Optimize schedule for 9 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 83 mins.
Operation 1 on Machine 1 duration 143 mins.
Operation 2 on Machine 0 duration 242 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 241 mins.
Operation 1 on Machine 0 duration 330 mins.
Operation 2 on Machine 1 duration 442 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 247 mins.
Operation 1 on Machine 2 duration 283 mins.
Operation 2 on Machine 1 duration 115 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 67 mins.
Operation 1 on Machine 2 duration 178 mins.
Operation 2 on Machine 0 duration 413 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 185 mins.
Operation 1 on Machine 0 duration 341 mins.
Operation 2 on Machine 1 duration 198 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 231 mins.
Operation 1 on Machine 2 duration 159 mins.
Operation 2 on Machine 1 duration 367 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 223 mins.
Operation 1 on Machine 1 duration 44 mins.
Operation 2 on Machine 0 duration 249 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 130 mins.
Operation 1 on Machine 2 duration 211 mins.
Operation 2 on Machine 0 duration 73 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 86 mins.
Operation 1 on Machine 0 duration 421 mins.
Operation 2 on Machine 1 duration 135 mins.
| null |
Optimize schedule for 9 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 247 mins.
Job 5 Operation 0 duration 231 mins.
Job 1 Operation 1 duration 330 mins.
Job 4 Operation 1 duration 341 mins.
Job 8 Operation 1 duration 421 mins.
Job 0 Operation 2 duration 242 mins.
Job 3 Operation 2 duration 413 mins.
Job 6 Operation 2 duration 249 mins.
Job 7 Operation 2 duration 73 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 67 mins.
Job 7 Operation 0 duration 130 mins.
Job 0 Operation 1 duration 143 mins.
Job 6 Operation 1 duration 44 mins.
Job 1 Operation 2 duration 442 mins.
Job 2 Operation 2 duration 115 mins.
Job 4 Operation 2 duration 198 mins.
Job 5 Operation 2 duration 367 mins.
Job 8 Operation 2 duration 135 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 83 mins.
Job 1 Operation 0 duration 241 mins.
Job 4 Operation 0 duration 185 mins.
Job 6 Operation 0 duration 223 mins.
Job 8 Operation 0 duration 86 mins.
Job 2 Operation 1 duration 283 mins.
Job 3 Operation 1 duration 178 mins.
Job 5 Operation 1 duration 159 mins.
Job 7 Operation 1 duration 211 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 231 -> 231
Job 3 Operation 0 on Machine 1 : 0 + 67 -> 67
Job 4 Operation 0 on Machine 2 : 0 + 185 -> 185
Job 7 Operation 0 on Machine 1 : 67 + 130 -> 197
Job 0 Operation 0 on Machine 2 : 185 + 83 -> 268
Job 4 Operation 1 on Machine 0 : 231 + 341 -> 572
Job 0 Operation 1 on Machine 1 : 268 + 143 -> 411
Job 5 Operation 1 on Machine 2 : 268 + 159 -> 427
Job 7 Operation 1 on Machine 2 : 427 + 211 -> 638
Job 0 Operation 2 on Machine 0 : 572 + 242 -> 814
Job 4 Operation 2 on Machine 1 : 572 + 198 -> 770
Job 3 Operation 1 on Machine 2 : 638 + 178 -> 816
Job 5 Operation 2 on Machine 1 : 770 + 367 -> 1137
Job 7 Operation 2 on Machine 0 : 814 + 73 -> 887
Job 1 Operation 0 on Machine 2 : 816 + 241 -> 1057
Job 2 Operation 0 on Machine 0 : 887 + 247 -> 1134
Job 3 Operation 2 on Machine 0 : 1134 + 413 -> 1547
Job 2 Operation 1 on Machine 2 : 1134 + 283 -> 1417
Job 2 Operation 2 on Machine 1 : 1417 + 115 -> 1532
Job 8 Operation 0 on Machine 2 : 1417 + 86 -> 1503
Job 6 Operation 0 on Machine 2 : 1503 + 223 -> 1726
Job 1 Operation 1 on Machine 0 : 1547 + 330 -> 1877
Job 6 Operation 1 on Machine 1 : 1726 + 44 -> 1770
Job 8 Operation 1 on Machine 0 : 1877 + 421 -> 2298
Job 1 Operation 2 on Machine 1 : 1877 + 442 -> 2319
Job 6 Operation 2 on Machine 0 : 2298 + 249 -> 2547
Job 8 Operation 2 on Machine 1 : 2319 + 135 -> 2454
Makespan: 2547.0, as it is the maximum end completion time of Operation 2
| null |
|
6 | 2 |
Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 28 mins.
Operation 1 on Machine 0 duration 4 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 8 mins.
Operation 1 on Machine 0 duration 19 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 12 mins.
Operation 1 on Machine 1 duration 30 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 15 mins.
Operation 1 on Machine 0 duration 9 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 26 mins.
Operation 1 on Machine 0 duration 1 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 11 mins.
Operation 1 on Machine 1 duration 6 mins.
| null |
Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 12 mins.
Job 5 Operation 0 duration 11 mins.
Job 0 Operation 1 duration 4 mins.
Job 1 Operation 1 duration 19 mins.
Job 3 Operation 1 duration 9 mins.
Job 4 Operation 1 duration 1 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 28 mins.
Job 1 Operation 0 duration 8 mins.
Job 3 Operation 0 duration 15 mins.
Job 4 Operation 0 duration 26 mins.
Job 2 Operation 1 duration 30 mins.
Job 5 Operation 1 duration 6 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 11 -> 11
Job 1 Operation 0 on Machine 1 : 0 + 8 -> 8
Job 3 Operation 0 on Machine 1 : 8 + 15 -> 23
Job 2 Operation 0 on Machine 0 : 11 + 12 -> 23
Job 3 Operation 1 on Machine 0 : 23 + 9 -> 32
Job 5 Operation 1 on Machine 1 : 23 + 6 -> 29
Job 4 Operation 0 on Machine 1 : 29 + 26 -> 55
Job 1 Operation 1 on Machine 0 : 32 + 19 -> 51
Job 4 Operation 1 on Machine 0 : 55 + 1 -> 56
Job 0 Operation 0 on Machine 1 : 55 + 28 -> 83
Job 0 Operation 1 on Machine 0 : 83 + 4 -> 87
Job 2 Operation 1 on Machine 1 : 83 + 30 -> 113
Makespan: 113.0, as it is the maximum end completion time of Operation 1
| null |
|
10 | 9 |
Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 216 mins.
Operation 1 on Machine 1 duration 303 mins.
Operation 2 on Machine 5 duration 107 mins.
Operation 3 on Machine 2 duration 202 mins.
Operation 4 on Machine 7 duration 153 mins.
Operation 5 on Machine 3 duration 122 mins.
Operation 6 on Machine 4 duration 90 mins.
Operation 7 on Machine 0 duration 294 mins.
Operation 8 on Machine 8 duration 295 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 231 mins.
Operation 1 on Machine 7 duration 104 mins.
Operation 2 on Machine 5 duration 273 mins.
Operation 3 on Machine 1 duration 52 mins.
Operation 4 on Machine 4 duration 23 mins.
Operation 5 on Machine 0 duration 264 mins.
Operation 6 on Machine 8 duration 116 mins.
Operation 7 on Machine 3 duration 318 mins.
Operation 8 on Machine 2 duration 263 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 303 mins.
Operation 1 on Machine 0 duration 239 mins.
Operation 2 on Machine 4 duration 15 mins.
Operation 3 on Machine 8 duration 135 mins.
Operation 4 on Machine 6 duration 39 mins.
Operation 5 on Machine 2 duration 96 mins.
Operation 6 on Machine 1 duration 136 mins.
Operation 7 on Machine 7 duration 299 mins.
Operation 8 on Machine 3 duration 204 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 240 mins.
Operation 1 on Machine 8 duration 71 mins.
Operation 2 on Machine 5 duration 153 mins.
Operation 3 on Machine 6 duration 197 mins.
Operation 4 on Machine 7 duration 115 mins.
Operation 5 on Machine 3 duration 230 mins.
Operation 6 on Machine 2 duration 22 mins.
Operation 7 on Machine 4 duration 273 mins.
Operation 8 on Machine 0 duration 243 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 204 mins.
Operation 1 on Machine 7 duration 63 mins.
Operation 2 on Machine 5 duration 134 mins.
Operation 3 on Machine 8 duration 280 mins.
Operation 4 on Machine 0 duration 213 mins.
Operation 5 on Machine 1 duration 18 mins.
Operation 6 on Machine 3 duration 115 mins.
Operation 7 on Machine 4 duration 5 mins.
Operation 8 on Machine 6 duration 18 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 46 mins.
Operation 1 on Machine 2 duration 157 mins.
Operation 2 on Machine 5 duration 128 mins.
Operation 3 on Machine 1 duration 23 mins.
Operation 4 on Machine 3 duration 216 mins.
Operation 5 on Machine 6 duration 55 mins.
Operation 6 on Machine 4 duration 146 mins.
Operation 7 on Machine 7 duration 12 mins.
Operation 8 on Machine 8 duration 73 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 304 mins.
Operation 1 on Machine 0 duration 256 mins.
Operation 2 on Machine 1 duration 249 mins.
Operation 3 on Machine 6 duration 317 mins.
Operation 4 on Machine 7 duration 41 mins.
Operation 5 on Machine 5 duration 73 mins.
Operation 6 on Machine 8 duration 190 mins.
Operation 7 on Machine 4 duration 92 mins.
Operation 8 on Machine 3 duration 83 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 309 mins.
Operation 1 on Machine 4 duration 79 mins.
Operation 2 on Machine 2 duration 154 mins.
Operation 3 on Machine 6 duration 34 mins.
Operation 4 on Machine 7 duration 292 mins.
Operation 5 on Machine 3 duration 102 mins.
Operation 6 on Machine 5 duration 211 mins.
Operation 7 on Machine 8 duration 290 mins.
Operation 8 on Machine 0 duration 253 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 157 mins.
Operation 1 on Machine 5 duration 66 mins.
Operation 2 on Machine 2 duration 17 mins.
Operation 3 on Machine 4 duration 51 mins.
Operation 4 on Machine 8 duration 41 mins.
Operation 5 on Machine 0 duration 147 mins.
Operation 6 on Machine 3 duration 140 mins.
Operation 7 on Machine 7 duration 37 mins.
Operation 8 on Machine 6 duration 107 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 202 mins.
Operation 1 on Machine 2 duration 15 mins.
Operation 2 on Machine 4 duration 303 mins.
Operation 3 on Machine 8 duration 49 mins.
Operation 4 on Machine 6 duration 34 mins.
Operation 5 on Machine 7 duration 135 mins.
Operation 6 on Machine 0 duration 54 mins.
Operation 7 on Machine 3 duration 152 mins.
Operation 8 on Machine 5 duration 213 mins.
| null |
Optimize schedule for 10 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 46 mins.
Job 2 Operation 1 duration 239 mins.
Job 6 Operation 1 duration 256 mins.
Job 4 Operation 4 duration 213 mins.
Job 1 Operation 5 duration 264 mins.
Job 8 Operation 5 duration 147 mins.
Job 9 Operation 6 duration 54 mins.
Job 0 Operation 7 duration 294 mins.
Job 3 Operation 8 duration 243 mins.
Job 7 Operation 8 duration 253 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 240 mins.
Job 7 Operation 0 duration 309 mins.
Job 8 Operation 0 duration 157 mins.
Job 9 Operation 0 duration 202 mins.
Job 0 Operation 1 duration 303 mins.
Job 6 Operation 2 duration 249 mins.
Job 1 Operation 3 duration 52 mins.
Job 5 Operation 3 duration 23 mins.
Job 4 Operation 5 duration 18 mins.
Job 2 Operation 6 duration 136 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 204 mins.
Job 6 Operation 0 duration 304 mins.
Job 5 Operation 1 duration 157 mins.
Job 9 Operation 1 duration 15 mins.
Job 7 Operation 2 duration 154 mins.
Job 8 Operation 2 duration 17 mins.
Job 0 Operation 3 duration 202 mins.
Job 2 Operation 5 duration 96 mins.
Job 3 Operation 6 duration 22 mins.
Job 1 Operation 8 duration 263 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 4 duration 216 mins.
Job 0 Operation 5 duration 122 mins.
Job 3 Operation 5 duration 230 mins.
Job 7 Operation 5 duration 102 mins.
Job 4 Operation 6 duration 115 mins.
Job 8 Operation 6 duration 140 mins.
Job 1 Operation 7 duration 318 mins.
Job 9 Operation 7 duration 152 mins.
Job 2 Operation 8 duration 204 mins.
Job 6 Operation 8 duration 83 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 1 duration 79 mins.
Job 2 Operation 2 duration 15 mins.
Job 9 Operation 2 duration 303 mins.
Job 8 Operation 3 duration 51 mins.
Job 1 Operation 4 duration 23 mins.
Job 0 Operation 6 duration 90 mins.
Job 5 Operation 6 duration 146 mins.
Job 3 Operation 7 duration 273 mins.
Job 4 Operation 7 duration 5 mins.
Job 6 Operation 7 duration 92 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 303 mins.
Job 8 Operation 1 duration 66 mins.
Job 0 Operation 2 duration 107 mins.
Job 1 Operation 2 duration 273 mins.
Job 3 Operation 2 duration 153 mins.
Job 4 Operation 2 duration 134 mins.
Job 5 Operation 2 duration 128 mins.
Job 6 Operation 5 duration 73 mins.
Job 7 Operation 6 duration 211 mins.
Job 9 Operation 8 duration 213 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 216 mins.
Job 1 Operation 0 duration 231 mins.
Job 3 Operation 3 duration 197 mins.
Job 6 Operation 3 duration 317 mins.
Job 7 Operation 3 duration 34 mins.
Job 2 Operation 4 duration 39 mins.
Job 9 Operation 4 duration 34 mins.
Job 5 Operation 5 duration 55 mins.
Job 4 Operation 8 duration 18 mins.
Job 8 Operation 8 duration 107 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 1 duration 104 mins.
Job 4 Operation 1 duration 63 mins.
Job 0 Operation 4 duration 153 mins.
Job 3 Operation 4 duration 115 mins.
Job 6 Operation 4 duration 41 mins.
Job 7 Operation 4 duration 292 mins.
Job 9 Operation 5 duration 135 mins.
Job 2 Operation 7 duration 299 mins.
Job 5 Operation 7 duration 12 mins.
Job 8 Operation 7 duration 37 mins.
Machine 8 is used for the following Operations:
Job 3 Operation 1 duration 71 mins.
Job 2 Operation 3 duration 135 mins.
Job 4 Operation 3 duration 280 mins.
Job 9 Operation 3 duration 49 mins.
Job 8 Operation 4 duration 41 mins.
Job 1 Operation 6 duration 116 mins.
Job 6 Operation 6 duration 190 mins.
Job 7 Operation 7 duration 290 mins.
Job 0 Operation 8 duration 295 mins.
Job 5 Operation 8 duration 73 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 46 -> 46
Job 3 Operation 0 on Machine 1 : 0 + 240 -> 240
Job 4 Operation 0 on Machine 2 : 0 + 204 -> 204
Job 2 Operation 0 on Machine 5 : 0 + 303 -> 303
Job 0 Operation 0 on Machine 6 : 0 + 216 -> 216
Job 5 Operation 1 on Machine 2 : 204 + 157 -> 361
Job 4 Operation 1 on Machine 7 : 204 + 63 -> 267
Job 1 Operation 0 on Machine 6 : 216 + 231 -> 447
Job 7 Operation 0 on Machine 1 : 240 + 309 -> 549
Job 3 Operation 1 on Machine 8 : 240 + 71 -> 311
Job 2 Operation 1 on Machine 0 : 303 + 239 -> 542
Job 3 Operation 2 on Machine 5 : 311 + 153 -> 464
Job 6 Operation 0 on Machine 2 : 361 + 304 -> 665
Job 1 Operation 1 on Machine 7 : 447 + 104 -> 551
Job 4 Operation 2 on Machine 5 : 464 + 134 -> 598
Job 3 Operation 3 on Machine 6 : 464 + 197 -> 661
Job 2 Operation 2 on Machine 4 : 542 + 15 -> 557
Job 9 Operation 0 on Machine 1 : 549 + 202 -> 751
Job 7 Operation 1 on Machine 4 : 557 + 79 -> 636
Job 5 Operation 2 on Machine 5 : 598 + 128 -> 726
Job 4 Operation 3 on Machine 8 : 598 + 280 -> 878
Job 3 Operation 4 on Machine 7 : 661 + 115 -> 776
Job 6 Operation 1 on Machine 0 : 665 + 256 -> 921
Job 1 Operation 2 on Machine 5 : 726 + 273 -> 999
Job 5 Operation 3 on Machine 1 : 751 + 23 -> 774
Job 9 Operation 1 on Machine 2 : 751 + 15 -> 766
Job 7 Operation 2 on Machine 2 : 766 + 154 -> 920
Job 9 Operation 2 on Machine 4 : 766 + 303 -> 1069
Job 0 Operation 1 on Machine 1 : 774 + 303 -> 1077
Job 5 Operation 4 on Machine 3 : 774 + 216 -> 990
Job 2 Operation 3 on Machine 8 : 878 + 135 -> 1013
Job 7 Operation 3 on Machine 6 : 920 + 34 -> 954
Job 4 Operation 4 on Machine 0 : 921 + 213 -> 1134
Job 7 Operation 4 on Machine 7 : 954 + 292 -> 1246
Job 3 Operation 5 on Machine 3 : 990 + 230 -> 1220
Job 2 Operation 4 on Machine 6 : 1013 + 39 -> 1052
Job 2 Operation 5 on Machine 2 : 1052 + 96 -> 1148
Job 5 Operation 5 on Machine 6 : 1052 + 55 -> 1107
Job 9 Operation 3 on Machine 8 : 1069 + 49 -> 1118
Job 1 Operation 3 on Machine 1 : 1077 + 52 -> 1129
Job 0 Operation 2 on Machine 5 : 1077 + 107 -> 1184
Job 9 Operation 4 on Machine 6 : 1118 + 34 -> 1152
Job 8 Operation 0 on Machine 1 : 1129 + 157 -> 1286
Job 1 Operation 4 on Machine 4 : 1129 + 23 -> 1152
Job 1 Operation 5 on Machine 0 : 1152 + 264 -> 1416
Job 3 Operation 6 on Machine 2 : 1220 + 22 -> 1242
Job 0 Operation 3 on Machine 2 : 1242 + 202 -> 1444
Job 3 Operation 7 on Machine 4 : 1242 + 273 -> 1515
Job 7 Operation 5 on Machine 3 : 1246 + 102 -> 1348
Job 9 Operation 5 on Machine 7 : 1246 + 135 -> 1381
Job 4 Operation 5 on Machine 1 : 1286 + 18 -> 1304
Job 8 Operation 1 on Machine 5 : 1286 + 66 -> 1352
Job 6 Operation 2 on Machine 1 : 1304 + 249 -> 1553
Job 4 Operation 6 on Machine 3 : 1348 + 115 -> 1463
Job 7 Operation 6 on Machine 5 : 1352 + 211 -> 1563
Job 9 Operation 6 on Machine 0 : 1416 + 54 -> 1470
Job 1 Operation 6 on Machine 8 : 1416 + 116 -> 1532
Job 8 Operation 2 on Machine 2 : 1444 + 17 -> 1461
Job 0 Operation 4 on Machine 7 : 1444 + 153 -> 1597
Job 9 Operation 7 on Machine 3 : 1470 + 152 -> 1622
Job 3 Operation 8 on Machine 0 : 1515 + 243 -> 1758
Job 4 Operation 7 on Machine 4 : 1515 + 5 -> 1520
Job 8 Operation 3 on Machine 4 : 1520 + 51 -> 1571
Job 2 Operation 6 on Machine 1 : 1553 + 136 -> 1689
Job 6 Operation 3 on Machine 6 : 1553 + 317 -> 1870
Job 5 Operation 6 on Machine 4 : 1571 + 146 -> 1717
Job 8 Operation 4 on Machine 8 : 1571 + 41 -> 1612
Job 7 Operation 7 on Machine 8 : 1612 + 290 -> 1902
Job 0 Operation 5 on Machine 3 : 1622 + 122 -> 1744
Job 5 Operation 7 on Machine 7 : 1717 + 12 -> 1729
Job 1 Operation 7 on Machine 3 : 1744 + 318 -> 2062
Job 0 Operation 6 on Machine 4 : 1744 + 90 -> 1834
Job 8 Operation 5 on Machine 0 : 1758 + 147 -> 1905
Job 4 Operation 8 on Machine 6 : 1870 + 18 -> 1888
Job 6 Operation 4 on Machine 7 : 1870 + 41 -> 1911
Job 5 Operation 8 on Machine 8 : 1902 + 73 -> 1975
Job 0 Operation 7 on Machine 0 : 1905 + 294 -> 2199
Job 6 Operation 5 on Machine 5 : 1911 + 73 -> 1984
Job 2 Operation 7 on Machine 7 : 1911 + 299 -> 2210
Job 9 Operation 8 on Machine 5 : 1984 + 213 -> 2197
Job 6 Operation 6 on Machine 8 : 1984 + 190 -> 2174
Job 1 Operation 8 on Machine 2 : 2062 + 263 -> 2325
Job 8 Operation 6 on Machine 3 : 2062 + 140 -> 2202
Job 6 Operation 7 on Machine 4 : 2174 + 92 -> 2266
Job 7 Operation 8 on Machine 0 : 2199 + 253 -> 2452
Job 0 Operation 8 on Machine 8 : 2199 + 295 -> 2494
Job 2 Operation 8 on Machine 3 : 2210 + 204 -> 2414
Job 8 Operation 7 on Machine 7 : 2210 + 37 -> 2247
Job 8 Operation 8 on Machine 6 : 2247 + 107 -> 2354
Job 6 Operation 8 on Machine 3 : 2414 + 83 -> 2497
Makespan: 2497.0, as it is the maximum end completion time of Operation 8
| null |
|
7 | 4 |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 252 mins.
Operation 1 on Machine 0 duration 360 mins.
Operation 2 on Machine 1 duration 207 mins.
Operation 3 on Machine 2 duration 346 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 144 mins.
Operation 1 on Machine 2 duration 286 mins.
Operation 2 on Machine 0 duration 235 mins.
Operation 3 on Machine 3 duration 182 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 191 mins.
Operation 1 on Machine 3 duration 15 mins.
Operation 2 on Machine 1 duration 193 mins.
Operation 3 on Machine 2 duration 186 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 43 mins.
Operation 1 on Machine 3 duration 158 mins.
Operation 2 on Machine 1 duration 50 mins.
Operation 3 on Machine 2 duration 353 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 228 mins.
Operation 1 on Machine 1 duration 305 mins.
Operation 2 on Machine 3 duration 70 mins.
Operation 3 on Machine 0 duration 311 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 306 mins.
Operation 1 on Machine 2 duration 182 mins.
Operation 2 on Machine 0 duration 170 mins.
Operation 3 on Machine 1 duration 185 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 297 mins.
Operation 1 on Machine 0 duration 166 mins.
Operation 2 on Machine 1 duration 52 mins.
Operation 3 on Machine 2 duration 184 mins.
| null |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 191 mins.
Job 3 Operation 0 duration 43 mins.
Job 0 Operation 1 duration 360 mins.
Job 6 Operation 1 duration 166 mins.
Job 1 Operation 2 duration 235 mins.
Job 5 Operation 2 duration 170 mins.
Job 4 Operation 3 duration 311 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 144 mins.
Job 4 Operation 1 duration 305 mins.
Job 0 Operation 2 duration 207 mins.
Job 2 Operation 2 duration 193 mins.
Job 3 Operation 2 duration 50 mins.
Job 6 Operation 2 duration 52 mins.
Job 5 Operation 3 duration 185 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 228 mins.
Job 1 Operation 1 duration 286 mins.
Job 5 Operation 1 duration 182 mins.
Job 0 Operation 3 duration 346 mins.
Job 2 Operation 3 duration 186 mins.
Job 3 Operation 3 duration 353 mins.
Job 6 Operation 3 duration 184 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 252 mins.
Job 5 Operation 0 duration 306 mins.
Job 6 Operation 0 duration 297 mins.
Job 2 Operation 1 duration 15 mins.
Job 3 Operation 1 duration 158 mins.
Job 4 Operation 2 duration 70 mins.
Job 1 Operation 3 duration 182 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 43 -> 43
Job 1 Operation 0 on Machine 1 : 0 + 144 -> 144
Job 4 Operation 0 on Machine 2 : 0 + 228 -> 228
Job 0 Operation 0 on Machine 3 : 0 + 252 -> 252
Job 2 Operation 0 on Machine 0 : 43 + 191 -> 234
Job 1 Operation 1 on Machine 2 : 228 + 286 -> 514
Job 0 Operation 1 on Machine 0 : 252 + 360 -> 612
Job 2 Operation 1 on Machine 3 : 252 + 15 -> 267
Job 2 Operation 2 on Machine 1 : 267 + 193 -> 460
Job 3 Operation 1 on Machine 3 : 267 + 158 -> 425
Job 6 Operation 0 on Machine 3 : 425 + 297 -> 722
Job 3 Operation 2 on Machine 1 : 460 + 50 -> 510
Job 2 Operation 3 on Machine 2 : 514 + 186 -> 700
Job 1 Operation 2 on Machine 0 : 612 + 235 -> 847
Job 0 Operation 2 on Machine 1 : 612 + 207 -> 819
Job 3 Operation 3 on Machine 2 : 700 + 353 -> 1053
Job 5 Operation 0 on Machine 3 : 722 + 306 -> 1028
Job 6 Operation 1 on Machine 0 : 847 + 166 -> 1013
Job 6 Operation 2 on Machine 1 : 1013 + 52 -> 1065
Job 1 Operation 3 on Machine 3 : 1028 + 182 -> 1210
Job 5 Operation 1 on Machine 2 : 1053 + 182 -> 1235
Job 4 Operation 1 on Machine 1 : 1065 + 305 -> 1370
Job 5 Operation 2 on Machine 0 : 1235 + 170 -> 1405
Job 6 Operation 3 on Machine 2 : 1235 + 184 -> 1419
Job 4 Operation 2 on Machine 3 : 1370 + 70 -> 1440
Job 5 Operation 3 on Machine 1 : 1405 + 185 -> 1590
Job 0 Operation 3 on Machine 2 : 1419 + 346 -> 1765
Job 4 Operation 3 on Machine 0 : 1440 + 311 -> 1751
Makespan: 1765.0, as it is the maximum end completion time of Operation 3
| null |
|
6 | 3 |
Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 0 duration 136 mins.
Operation 2 on Machine 2 duration 73 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 18 mins.
Operation 1 on Machine 0 duration 66 mins.
Operation 2 on Machine 2 duration 106 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 127 mins.
Operation 1 on Machine 1 duration 17 mins.
Operation 2 on Machine 2 duration 92 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 17 mins.
Operation 1 on Machine 2 duration 125 mins.
Operation 2 on Machine 1 duration 80 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 102 mins.
Operation 1 on Machine 2 duration 136 mins.
Operation 2 on Machine 0 duration 100 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 1 mins.
Operation 1 on Machine 2 duration 145 mins.
Operation 2 on Machine 1 duration 82 mins.
| null |
Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 127 mins.
Job 3 Operation 0 duration 17 mins.
Job 5 Operation 0 duration 1 mins.
Job 0 Operation 1 duration 136 mins.
Job 1 Operation 1 duration 66 mins.
Job 4 Operation 2 duration 100 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 44 mins.
Job 1 Operation 0 duration 18 mins.
Job 4 Operation 0 duration 102 mins.
Job 2 Operation 1 duration 17 mins.
Job 3 Operation 2 duration 80 mins.
Job 5 Operation 2 duration 82 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 125 mins.
Job 4 Operation 1 duration 136 mins.
Job 5 Operation 1 duration 145 mins.
Job 0 Operation 2 duration 73 mins.
Job 1 Operation 2 duration 106 mins.
Job 2 Operation 2 duration 92 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 1 -> 1
Job 0 Operation 0 on Machine 1 : 0 + 44 -> 44
Job 2 Operation 0 on Machine 0 : 1 + 127 -> 128
Job 5 Operation 1 on Machine 2 : 1 + 145 -> 146
Job 1 Operation 0 on Machine 1 : 44 + 18 -> 62
Job 1 Operation 1 on Machine 0 : 128 + 66 -> 194
Job 2 Operation 1 on Machine 1 : 128 + 17 -> 145
Job 5 Operation 2 on Machine 1 : 146 + 82 -> 228
Job 2 Operation 2 on Machine 2 : 146 + 92 -> 238
Job 3 Operation 0 on Machine 0 : 194 + 17 -> 211
Job 0 Operation 1 on Machine 0 : 211 + 136 -> 347
Job 4 Operation 0 on Machine 1 : 228 + 102 -> 330
Job 3 Operation 1 on Machine 2 : 238 + 125 -> 363
Job 3 Operation 2 on Machine 1 : 363 + 80 -> 443
Job 0 Operation 2 on Machine 2 : 363 + 73 -> 436
Job 4 Operation 1 on Machine 2 : 436 + 136 -> 572
Job 4 Operation 2 on Machine 0 : 572 + 100 -> 672
Job 1 Operation 2 on Machine 2 : 572 + 106 -> 678
Makespan: 678.0, as it is the maximum end completion time of Operation 2
| null |
|
8 | 8 |
Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 180 mins.
Operation 1 on Machine 2 duration 171 mins.
Operation 2 on Machine 7 duration 101 mins.
Operation 3 on Machine 6 duration 114 mins.
Operation 4 on Machine 4 duration 110 mins.
Operation 5 on Machine 0 duration 112 mins.
Operation 6 on Machine 3 duration 98 mins.
Operation 7 on Machine 5 duration 91 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 45 mins.
Operation 1 on Machine 7 duration 253 mins.
Operation 2 on Machine 0 duration 69 mins.
Operation 3 on Machine 2 duration 102 mins.
Operation 4 on Machine 5 duration 100 mins.
Operation 5 on Machine 4 duration 108 mins.
Operation 6 on Machine 6 duration 56 mins.
Operation 7 on Machine 1 duration 27 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 120 mins.
Operation 1 on Machine 2 duration 85 mins.
Operation 2 on Machine 1 duration 187 mins.
Operation 3 on Machine 6 duration 12 mins.
Operation 4 on Machine 0 duration 205 mins.
Operation 5 on Machine 4 duration 166 mins.
Operation 6 on Machine 3 duration 111 mins.
Operation 7 on Machine 5 duration 155 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 164 mins.
Operation 1 on Machine 5 duration 44 mins.
Operation 2 on Machine 6 duration 141 mins.
Operation 3 on Machine 0 duration 62 mins.
Operation 4 on Machine 7 duration 49 mins.
Operation 5 on Machine 4 duration 101 mins.
Operation 6 on Machine 3 duration 205 mins.
Operation 7 on Machine 1 duration 51 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 120 mins.
Operation 1 on Machine 6 duration 49 mins.
Operation 2 on Machine 7 duration 155 mins.
Operation 3 on Machine 2 duration 104 mins.
Operation 4 on Machine 4 duration 258 mins.
Operation 5 on Machine 1 duration 214 mins.
Operation 6 on Machine 5 duration 247 mins.
Operation 7 on Machine 0 duration 37 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 37 mins.
Operation 1 on Machine 7 duration 240 mins.
Operation 2 on Machine 2 duration 251 mins.
Operation 3 on Machine 5 duration 114 mins.
Operation 4 on Machine 1 duration 41 mins.
Operation 5 on Machine 4 duration 156 mins.
Operation 6 on Machine 0 duration 191 mins.
Operation 7 on Machine 3 duration 15 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 192 mins.
Operation 1 on Machine 2 duration 17 mins.
Operation 2 on Machine 6 duration 85 mins.
Operation 3 on Machine 4 duration 249 mins.
Operation 4 on Machine 5 duration 228 mins.
Operation 5 on Machine 7 duration 216 mins.
Operation 6 on Machine 0 duration 246 mins.
Operation 7 on Machine 1 duration 259 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 100 mins.
Operation 1 on Machine 1 duration 216 mins.
Operation 2 on Machine 2 duration 4 mins.
Operation 3 on Machine 7 duration 164 mins.
Operation 4 on Machine 5 duration 243 mins.
Operation 5 on Machine 4 duration 162 mins.
Operation 6 on Machine 0 duration 41 mins.
Operation 7 on Machine 6 duration 2 mins.
| null |
Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 2 duration 69 mins.
Job 3 Operation 3 duration 62 mins.
Job 2 Operation 4 duration 205 mins.
Job 0 Operation 5 duration 112 mins.
Job 5 Operation 6 duration 191 mins.
Job 6 Operation 6 duration 246 mins.
Job 7 Operation 6 duration 41 mins.
Job 4 Operation 7 duration 37 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 180 mins.
Job 7 Operation 1 duration 216 mins.
Job 2 Operation 2 duration 187 mins.
Job 5 Operation 4 duration 41 mins.
Job 4 Operation 5 duration 214 mins.
Job 1 Operation 7 duration 27 mins.
Job 3 Operation 7 duration 51 mins.
Job 6 Operation 7 duration 259 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 164 mins.
Job 0 Operation 1 duration 171 mins.
Job 2 Operation 1 duration 85 mins.
Job 6 Operation 1 duration 17 mins.
Job 5 Operation 2 duration 251 mins.
Job 7 Operation 2 duration 4 mins.
Job 1 Operation 3 duration 102 mins.
Job 4 Operation 3 duration 104 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 45 mins.
Job 4 Operation 0 duration 120 mins.
Job 6 Operation 0 duration 192 mins.
Job 7 Operation 0 duration 100 mins.
Job 0 Operation 6 duration 98 mins.
Job 2 Operation 6 duration 111 mins.
Job 3 Operation 6 duration 205 mins.
Job 5 Operation 7 duration 15 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 3 duration 249 mins.
Job 0 Operation 4 duration 110 mins.
Job 4 Operation 4 duration 258 mins.
Job 1 Operation 5 duration 108 mins.
Job 2 Operation 5 duration 166 mins.
Job 3 Operation 5 duration 101 mins.
Job 5 Operation 5 duration 156 mins.
Job 7 Operation 5 duration 162 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 1 duration 44 mins.
Job 5 Operation 3 duration 114 mins.
Job 1 Operation 4 duration 100 mins.
Job 6 Operation 4 duration 228 mins.
Job 7 Operation 4 duration 243 mins.
Job 4 Operation 6 duration 247 mins.
Job 0 Operation 7 duration 91 mins.
Job 2 Operation 7 duration 155 mins.
Machine 6 is used for the following Operations:
Job 5 Operation 0 duration 37 mins.
Job 4 Operation 1 duration 49 mins.
Job 3 Operation 2 duration 141 mins.
Job 6 Operation 2 duration 85 mins.
Job 0 Operation 3 duration 114 mins.
Job 2 Operation 3 duration 12 mins.
Job 1 Operation 6 duration 56 mins.
Job 7 Operation 7 duration 2 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 120 mins.
Job 1 Operation 1 duration 253 mins.
Job 5 Operation 1 duration 240 mins.
Job 0 Operation 2 duration 101 mins.
Job 4 Operation 2 duration 155 mins.
Job 7 Operation 3 duration 164 mins.
Job 3 Operation 4 duration 49 mins.
Job 6 Operation 5 duration 216 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 1 : 0 + 180 -> 180
Job 3 Operation 0 on Machine 2 : 0 + 164 -> 164
Job 6 Operation 0 on Machine 3 : 0 + 192 -> 192
Job 5 Operation 0 on Machine 6 : 0 + 37 -> 37
Job 2 Operation 0 on Machine 7 : 0 + 120 -> 120
Job 5 Operation 1 on Machine 7 : 120 + 240 -> 360
Job 3 Operation 1 on Machine 5 : 164 + 44 -> 208
Job 6 Operation 1 on Machine 2 : 192 + 17 -> 209
Job 4 Operation 0 on Machine 3 : 192 + 120 -> 312
Job 0 Operation 1 on Machine 2 : 209 + 171 -> 380
Job 6 Operation 2 on Machine 6 : 209 + 85 -> 294
Job 6 Operation 3 on Machine 4 : 294 + 249 -> 543
Job 7 Operation 0 on Machine 3 : 312 + 100 -> 412
Job 4 Operation 1 on Machine 6 : 312 + 49 -> 361
Job 3 Operation 2 on Machine 6 : 361 + 141 -> 502
Job 2 Operation 1 on Machine 2 : 380 + 85 -> 465
Job 0 Operation 2 on Machine 7 : 380 + 101 -> 481
Job 7 Operation 1 on Machine 1 : 412 + 216 -> 628
Job 1 Operation 0 on Machine 3 : 412 + 45 -> 457
Job 4 Operation 2 on Machine 7 : 481 + 155 -> 636
Job 3 Operation 3 on Machine 0 : 502 + 62 -> 564
Job 0 Operation 3 on Machine 6 : 502 + 114 -> 616
Job 6 Operation 4 on Machine 5 : 543 + 228 -> 771
Job 0 Operation 4 on Machine 4 : 616 + 110 -> 726
Job 2 Operation 2 on Machine 1 : 628 + 187 -> 815
Job 7 Operation 2 on Machine 2 : 628 + 4 -> 632
Job 4 Operation 3 on Machine 2 : 636 + 104 -> 740
Job 7 Operation 3 on Machine 7 : 636 + 164 -> 800
Job 0 Operation 5 on Machine 0 : 726 + 112 -> 838
Job 5 Operation 2 on Machine 2 : 740 + 251 -> 991
Job 4 Operation 4 on Machine 4 : 740 + 258 -> 998
Job 7 Operation 4 on Machine 5 : 800 + 243 -> 1043
Job 3 Operation 4 on Machine 7 : 800 + 49 -> 849
Job 2 Operation 3 on Machine 6 : 815 + 12 -> 827
Job 2 Operation 4 on Machine 0 : 838 + 205 -> 1043
Job 0 Operation 6 on Machine 3 : 838 + 98 -> 936
Job 6 Operation 5 on Machine 7 : 849 + 216 -> 1065
Job 4 Operation 5 on Machine 1 : 998 + 214 -> 1212
Job 3 Operation 5 on Machine 4 : 998 + 101 -> 1099
Job 5 Operation 3 on Machine 5 : 1043 + 114 -> 1157
Job 6 Operation 6 on Machine 0 : 1065 + 246 -> 1311
Job 1 Operation 1 on Machine 7 : 1065 + 253 -> 1318
Job 2 Operation 5 on Machine 4 : 1099 + 166 -> 1265
Job 0 Operation 7 on Machine 5 : 1157 + 91 -> 1248
Job 5 Operation 4 on Machine 1 : 1212 + 41 -> 1253
Job 4 Operation 6 on Machine 5 : 1248 + 247 -> 1495
Job 2 Operation 6 on Machine 3 : 1265 + 111 -> 1376
Job 5 Operation 5 on Machine 4 : 1265 + 156 -> 1421
Job 6 Operation 7 on Machine 1 : 1311 + 259 -> 1570
Job 1 Operation 2 on Machine 0 : 1318 + 69 -> 1387
Job 3 Operation 6 on Machine 3 : 1376 + 205 -> 1581
Job 1 Operation 3 on Machine 2 : 1387 + 102 -> 1489
Job 5 Operation 6 on Machine 0 : 1421 + 191 -> 1612
Job 7 Operation 5 on Machine 4 : 1421 + 162 -> 1583
Job 1 Operation 4 on Machine 5 : 1495 + 100 -> 1595
Job 3 Operation 7 on Machine 1 : 1581 + 51 -> 1632
Job 1 Operation 5 on Machine 4 : 1595 + 108 -> 1703
Job 2 Operation 7 on Machine 5 : 1595 + 155 -> 1750
Job 4 Operation 7 on Machine 0 : 1612 + 37 -> 1649
Job 5 Operation 7 on Machine 3 : 1612 + 15 -> 1627
Job 7 Operation 6 on Machine 0 : 1649 + 41 -> 1690
Job 1 Operation 6 on Machine 6 : 1703 + 56 -> 1759
Job 1 Operation 7 on Machine 1 : 1759 + 27 -> 1786
Job 7 Operation 7 on Machine 6 : 1759 + 2 -> 1761
Makespan: 1786.0, as it is the maximum end completion time of Operation 7
| null |
|
3 | 3 |
Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 54 mins.
Operation 1 on Machine 2 duration 44 mins.
Operation 2 on Machine 1 duration 84 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 13 mins.
Operation 1 on Machine 1 duration 215 mins.
Operation 2 on Machine 0 duration 27 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 195 mins.
Operation 1 on Machine 0 duration 192 mins.
Operation 2 on Machine 1 duration 166 mins.
| null |
Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 54 mins.
Job 2 Operation 1 duration 192 mins.
Job 1 Operation 2 duration 27 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 215 mins.
Job 0 Operation 2 duration 84 mins.
Job 2 Operation 2 duration 166 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 13 mins.
Job 2 Operation 0 duration 195 mins.
Job 0 Operation 1 duration 44 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 54 -> 54
Job 1 Operation 0 on Machine 2 : 0 + 13 -> 13
Job 1 Operation 1 on Machine 1 : 13 + 215 -> 228
Job 2 Operation 0 on Machine 2 : 13 + 195 -> 208
Job 2 Operation 1 on Machine 0 : 208 + 192 -> 400
Job 0 Operation 1 on Machine 2 : 208 + 44 -> 252
Job 0 Operation 2 on Machine 1 : 252 + 84 -> 336
Job 1 Operation 2 on Machine 0 : 400 + 27 -> 427
Job 2 Operation 2 on Machine 1 : 400 + 166 -> 566
Makespan: 566.0, as it is the maximum end completion time of Operation 2
| null |
|
15 | 15 |
Optimize schedule for 15 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 149 mins.
Operation 1 on Machine 1 duration 82 mins.
Operation 2 on Machine 8 duration 43 mins.
Operation 3 on Machine 10 duration 218 mins.
Operation 4 on Machine 4 duration 154 mins.
Operation 5 on Machine 13 duration 78 mins.
Operation 6 on Machine 11 duration 248 mins.
Operation 7 on Machine 3 duration 237 mins.
Operation 8 on Machine 2 duration 136 mins.
Operation 9 on Machine 7 duration 62 mins.
Operation 10 on Machine 12 duration 168 mins.
Operation 11 on Machine 14 duration 267 mins.
Operation 12 on Machine 9 duration 174 mins.
Operation 13 on Machine 5 duration 67 mins.
Operation 14 on Machine 0 duration 195 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 13 duration 66 mins.
Operation 1 on Machine 12 duration 221 mins.
Operation 2 on Machine 7 duration 40 mins.
Operation 3 on Machine 14 duration 112 mins.
Operation 4 on Machine 9 duration 77 mins.
Operation 5 on Machine 5 duration 146 mins.
Operation 6 on Machine 2 duration 69 mins.
Operation 7 on Machine 3 duration 92 mins.
Operation 8 on Machine 1 duration 19 mins.
Operation 9 on Machine 4 duration 204 mins.
Operation 10 on Machine 0 duration 268 mins.
Operation 11 on Machine 6 duration 147 mins.
Operation 12 on Machine 10 duration 72 mins.
Operation 13 on Machine 11 duration 230 mins.
Operation 14 on Machine 8 duration 141 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 36 mins.
Operation 1 on Machine 6 duration 16 mins.
Operation 2 on Machine 4 duration 220 mins.
Operation 3 on Machine 1 duration 200 mins.
Operation 4 on Machine 5 duration 5 mins.
Operation 5 on Machine 7 duration 238 mins.
Operation 6 on Machine 3 duration 73 mins.
Operation 7 on Machine 10 duration 98 mins.
Operation 8 on Machine 0 duration 266 mins.
Operation 9 on Machine 9 duration 254 mins.
Operation 10 on Machine 12 duration 81 mins.
Operation 11 on Machine 14 duration 106 mins.
Operation 12 on Machine 13 duration 77 mins.
Operation 13 on Machine 11 duration 32 mins.
Operation 14 on Machine 8 duration 39 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 200 mins.
Operation 1 on Machine 5 duration 127 mins.
Operation 2 on Machine 10 duration 269 mins.
Operation 3 on Machine 8 duration 7 mins.
Operation 4 on Machine 2 duration 269 mins.
Operation 5 on Machine 3 duration 178 mins.
Operation 6 on Machine 0 duration 267 mins.
Operation 7 on Machine 9 duration 77 mins.
Operation 8 on Machine 4 duration 211 mins.
Operation 9 on Machine 12 duration 46 mins.
Operation 10 on Machine 7 duration 199 mins.
Operation 11 on Machine 6 duration 29 mins.
Operation 12 on Machine 13 duration 190 mins.
Operation 13 on Machine 11 duration 62 mins.
Operation 14 on Machine 14 duration 152 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 11 duration 43 mins.
Operation 1 on Machine 4 duration 128 mins.
Operation 2 on Machine 1 duration 244 mins.
Operation 3 on Machine 9 duration 18 mins.
Operation 4 on Machine 7 duration 188 mins.
Operation 5 on Machine 14 duration 244 mins.
Operation 6 on Machine 2 duration 71 mins.
Operation 7 on Machine 5 duration 226 mins.
Operation 8 on Machine 0 duration 110 mins.
Operation 9 on Machine 10 duration 150 mins.
Operation 10 on Machine 8 duration 218 mins.
Operation 11 on Machine 3 duration 197 mins.
Operation 12 on Machine 12 duration 226 mins.
Operation 13 on Machine 6 duration 15 mins.
Operation 14 on Machine 13 duration 96 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 11 duration 107 mins.
Operation 1 on Machine 6 duration 27 mins.
Operation 2 on Machine 8 duration 235 mins.
Operation 3 on Machine 10 duration 171 mins.
Operation 4 on Machine 1 duration 110 mins.
Operation 5 on Machine 7 duration 83 mins.
Operation 6 on Machine 13 duration 248 mins.
Operation 7 on Machine 0 duration 256 mins.
Operation 8 on Machine 3 duration 64 mins.
Operation 9 on Machine 2 duration 240 mins.
Operation 10 on Machine 14 duration 102 mins.
Operation 11 on Machine 12 duration 115 mins.
Operation 12 on Machine 5 duration 125 mins.
Operation 13 on Machine 9 duration 63 mins.
Operation 14 on Machine 4 duration 132 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 13 duration 219 mins.
Operation 1 on Machine 7 duration 60 mins.
Operation 2 on Machine 1 duration 229 mins.
Operation 3 on Machine 10 duration 139 mins.
Operation 4 on Machine 6 duration 22 mins.
Operation 5 on Machine 9 duration 74 mins.
Operation 6 on Machine 11 duration 49 mins.
Operation 7 on Machine 12 duration 52 mins.
Operation 8 on Machine 4 duration 66 mins.
Operation 9 on Machine 2 duration 91 mins.
Operation 10 on Machine 3 duration 86 mins.
Operation 11 on Machine 8 duration 131 mins.
Operation 12 on Machine 5 duration 149 mins.
Operation 13 on Machine 0 duration 190 mins.
Operation 14 on Machine 14 duration 272 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 11 duration 91 mins.
Operation 1 on Machine 9 duration 67 mins.
Operation 2 on Machine 0 duration 168 mins.
Operation 3 on Machine 5 duration 266 mins.
Operation 4 on Machine 14 duration 85 mins.
Operation 5 on Machine 12 duration 224 mins.
Operation 6 on Machine 3 duration 90 mins.
Operation 7 on Machine 8 duration 267 mins.
Operation 8 on Machine 1 duration 155 mins.
Operation 9 on Machine 4 duration 73 mins.
Operation 10 on Machine 6 duration 209 mins.
Operation 11 on Machine 10 duration 204 mins.
Operation 12 on Machine 2 duration 143 mins.
Operation 13 on Machine 13 duration 183 mins.
Operation 14 on Machine 7 duration 245 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 6 duration 110 mins.
Operation 1 on Machine 8 duration 152 mins.
Operation 2 on Machine 3 duration 5 mins.
Operation 3 on Machine 5 duration 269 mins.
Operation 4 on Machine 7 duration 165 mins.
Operation 5 on Machine 4 duration 238 mins.
Operation 6 on Machine 11 duration 45 mins.
Operation 7 on Machine 12 duration 222 mins.
Operation 8 on Machine 10 duration 259 mins.
Operation 9 on Machine 9 duration 51 mins.
Operation 10 on Machine 13 duration 95 mins.
Operation 11 on Machine 14 duration 35 mins.
Operation 12 on Machine 0 duration 171 mins.
Operation 13 on Machine 1 duration 103 mins.
Operation 14 on Machine 2 duration 199 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 8 duration 226 mins.
Operation 1 on Machine 2 duration 262 mins.
Operation 2 on Machine 3 duration 181 mins.
Operation 3 on Machine 9 duration 14 mins.
Operation 4 on Machine 12 duration 249 mins.
Operation 5 on Machine 14 duration 155 mins.
Operation 6 on Machine 11 duration 41 mins.
Operation 7 on Machine 10 duration 37 mins.
Operation 8 on Machine 1 duration 244 mins.
Operation 9 on Machine 13 duration 65 mins.
Operation 10 on Machine 0 duration 262 mins.
Operation 11 on Machine 7 duration 256 mins.
Operation 12 on Machine 5 duration 4 mins.
Operation 13 on Machine 4 duration 161 mins.
Operation 14 on Machine 6 duration 111 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 12 duration 228 mins.
Operation 1 on Machine 1 duration 15 mins.
Operation 2 on Machine 5 duration 37 mins.
Operation 3 on Machine 7 duration 253 mins.
Operation 4 on Machine 2 duration 25 mins.
Operation 5 on Machine 13 duration 1 mins.
Operation 6 on Machine 10 duration 21 mins.
Operation 7 on Machine 3 duration 201 mins.
Operation 8 on Machine 0 duration 200 mins.
Operation 9 on Machine 4 duration 272 mins.
Operation 10 on Machine 11 duration 215 mins.
Operation 11 on Machine 6 duration 95 mins.
Operation 12 on Machine 14 duration 114 mins.
Operation 13 on Machine 8 duration 86 mins.
Operation 14 on Machine 9 duration 186 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 0 duration 96 mins.
Operation 1 on Machine 7 duration 144 mins.
Operation 2 on Machine 8 duration 202 mins.
Operation 3 on Machine 13 duration 134 mins.
Operation 4 on Machine 10 duration 143 mins.
Operation 5 on Machine 2 duration 172 mins.
Operation 6 on Machine 6 duration 193 mins.
Operation 7 on Machine 5 duration 1 mins.
Operation 8 on Machine 14 duration 253 mins.
Operation 9 on Machine 1 duration 39 mins.
Operation 10 on Machine 9 duration 238 mins.
Operation 11 on Machine 12 duration 75 mins.
Operation 12 on Machine 4 duration 208 mins.
Operation 13 on Machine 3 duration 62 mins.
Operation 14 on Machine 11 duration 206 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 6 duration 200 mins.
Operation 1 on Machine 8 duration 246 mins.
Operation 2 on Machine 1 duration 86 mins.
Operation 3 on Machine 12 duration 227 mins.
Operation 4 on Machine 2 duration 234 mins.
Operation 5 on Machine 0 duration 122 mins.
Operation 6 on Machine 9 duration 124 mins.
Operation 7 on Machine 10 duration 176 mins.
Operation 8 on Machine 5 duration 86 mins.
Operation 9 on Machine 7 duration 100 mins.
Operation 10 on Machine 11 duration 232 mins.
Operation 11 on Machine 3 duration 245 mins.
Operation 12 on Machine 4 duration 131 mins.
Operation 13 on Machine 13 duration 18 mins.
Operation 14 on Machine 14 duration 136 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 1 duration 9 mins.
Operation 1 on Machine 7 duration 156 mins.
Operation 2 on Machine 2 duration 120 mins.
Operation 3 on Machine 10 duration 126 mins.
Operation 4 on Machine 3 duration 100 mins.
Operation 5 on Machine 4 duration 14 mins.
Operation 6 on Machine 9 duration 143 mins.
Operation 7 on Machine 12 duration 67 mins.
Operation 8 on Machine 13 duration 8 mins.
Operation 9 on Machine 8 duration 100 mins.
Operation 10 on Machine 14 duration 92 mins.
Operation 11 on Machine 0 duration 47 mins.
Operation 12 on Machine 5 duration 61 mins.
Operation 13 on Machine 6 duration 203 mins.
Operation 14 on Machine 11 duration 188 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 4 duration 20 mins.
Operation 1 on Machine 6 duration 40 mins.
Operation 2 on Machine 1 duration 23 mins.
Operation 3 on Machine 2 duration 137 mins.
Operation 4 on Machine 14 duration 189 mins.
Operation 5 on Machine 7 duration 196 mins.
Operation 6 on Machine 3 duration 203 mins.
Operation 7 on Machine 11 duration 163 mins.
Operation 8 on Machine 13 duration 223 mins.
Operation 9 on Machine 12 duration 11 mins.
Operation 10 on Machine 5 duration 75 mins.
Operation 11 on Machine 8 duration 126 mins.
Operation 12 on Machine 0 duration 155 mins.
Operation 13 on Machine 9 duration 69 mins.
Operation 14 on Machine 10 duration 172 mins.
| null |
Optimize schedule for 15 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 11 Operation 0 duration 96 mins.
Job 7 Operation 2 duration 168 mins.
Job 12 Operation 5 duration 122 mins.
Job 3 Operation 6 duration 267 mins.
Job 5 Operation 7 duration 256 mins.
Job 2 Operation 8 duration 266 mins.
Job 4 Operation 8 duration 110 mins.
Job 10 Operation 8 duration 200 mins.
Job 1 Operation 10 duration 268 mins.
Job 9 Operation 10 duration 262 mins.
Job 13 Operation 11 duration 47 mins.
Job 8 Operation 12 duration 171 mins.
Job 14 Operation 12 duration 155 mins.
Job 6 Operation 13 duration 190 mins.
Job 0 Operation 14 duration 195 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 200 mins.
Job 13 Operation 0 duration 9 mins.
Job 0 Operation 1 duration 82 mins.
Job 10 Operation 1 duration 15 mins.
Job 4 Operation 2 duration 244 mins.
Job 6 Operation 2 duration 229 mins.
Job 12 Operation 2 duration 86 mins.
Job 14 Operation 2 duration 23 mins.
Job 2 Operation 3 duration 200 mins.
Job 5 Operation 4 duration 110 mins.
Job 1 Operation 8 duration 19 mins.
Job 7 Operation 8 duration 155 mins.
Job 9 Operation 8 duration 244 mins.
Job 11 Operation 9 duration 39 mins.
Job 8 Operation 13 duration 103 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 36 mins.
Job 9 Operation 1 duration 262 mins.
Job 13 Operation 2 duration 120 mins.
Job 14 Operation 3 duration 137 mins.
Job 3 Operation 4 duration 269 mins.
Job 10 Operation 4 duration 25 mins.
Job 12 Operation 4 duration 234 mins.
Job 11 Operation 5 duration 172 mins.
Job 1 Operation 6 duration 69 mins.
Job 4 Operation 6 duration 71 mins.
Job 0 Operation 8 duration 136 mins.
Job 5 Operation 9 duration 240 mins.
Job 6 Operation 9 duration 91 mins.
Job 7 Operation 12 duration 143 mins.
Job 8 Operation 14 duration 199 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 2 duration 5 mins.
Job 9 Operation 2 duration 181 mins.
Job 13 Operation 4 duration 100 mins.
Job 3 Operation 5 duration 178 mins.
Job 2 Operation 6 duration 73 mins.
Job 7 Operation 6 duration 90 mins.
Job 14 Operation 6 duration 203 mins.
Job 0 Operation 7 duration 237 mins.
Job 1 Operation 7 duration 92 mins.
Job 10 Operation 7 duration 201 mins.
Job 5 Operation 8 duration 64 mins.
Job 6 Operation 10 duration 86 mins.
Job 4 Operation 11 duration 197 mins.
Job 12 Operation 11 duration 245 mins.
Job 11 Operation 13 duration 62 mins.
Machine 4 is used for the following Operations:
Job 14 Operation 0 duration 20 mins.
Job 4 Operation 1 duration 128 mins.
Job 2 Operation 2 duration 220 mins.
Job 0 Operation 4 duration 154 mins.
Job 8 Operation 5 duration 238 mins.
Job 13 Operation 5 duration 14 mins.
Job 3 Operation 8 duration 211 mins.
Job 6 Operation 8 duration 66 mins.
Job 1 Operation 9 duration 204 mins.
Job 7 Operation 9 duration 73 mins.
Job 10 Operation 9 duration 272 mins.
Job 11 Operation 12 duration 208 mins.
Job 12 Operation 12 duration 131 mins.
Job 9 Operation 13 duration 161 mins.
Job 5 Operation 14 duration 132 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 1 duration 127 mins.
Job 10 Operation 2 duration 37 mins.
Job 7 Operation 3 duration 266 mins.
Job 8 Operation 3 duration 269 mins.
Job 2 Operation 4 duration 5 mins.
Job 1 Operation 5 duration 146 mins.
Job 4 Operation 7 duration 226 mins.
Job 11 Operation 7 duration 1 mins.
Job 12 Operation 8 duration 86 mins.
Job 14 Operation 10 duration 75 mins.
Job 5 Operation 12 duration 125 mins.
Job 6 Operation 12 duration 149 mins.
Job 9 Operation 12 duration 4 mins.
Job 13 Operation 12 duration 61 mins.
Job 0 Operation 13 duration 67 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 149 mins.
Job 8 Operation 0 duration 110 mins.
Job 12 Operation 0 duration 200 mins.
Job 2 Operation 1 duration 16 mins.
Job 5 Operation 1 duration 27 mins.
Job 14 Operation 1 duration 40 mins.
Job 6 Operation 4 duration 22 mins.
Job 11 Operation 6 duration 193 mins.
Job 7 Operation 10 duration 209 mins.
Job 1 Operation 11 duration 147 mins.
Job 3 Operation 11 duration 29 mins.
Job 10 Operation 11 duration 95 mins.
Job 4 Operation 13 duration 15 mins.
Job 13 Operation 13 duration 203 mins.
Job 9 Operation 14 duration 111 mins.
Machine 7 is used for the following Operations:
Job 6 Operation 1 duration 60 mins.
Job 11 Operation 1 duration 144 mins.
Job 13 Operation 1 duration 156 mins.
Job 1 Operation 2 duration 40 mins.
Job 10 Operation 3 duration 253 mins.
Job 4 Operation 4 duration 188 mins.
Job 8 Operation 4 duration 165 mins.
Job 2 Operation 5 duration 238 mins.
Job 5 Operation 5 duration 83 mins.
Job 14 Operation 5 duration 196 mins.
Job 0 Operation 9 duration 62 mins.
Job 12 Operation 9 duration 100 mins.
Job 3 Operation 10 duration 199 mins.
Job 9 Operation 11 duration 256 mins.
Job 7 Operation 14 duration 245 mins.
Machine 8 is used for the following Operations:
Job 9 Operation 0 duration 226 mins.
Job 8 Operation 1 duration 152 mins.
Job 12 Operation 1 duration 246 mins.
Job 0 Operation 2 duration 43 mins.
Job 5 Operation 2 duration 235 mins.
Job 11 Operation 2 duration 202 mins.
Job 3 Operation 3 duration 7 mins.
Job 7 Operation 7 duration 267 mins.
Job 13 Operation 9 duration 100 mins.
Job 4 Operation 10 duration 218 mins.
Job 6 Operation 11 duration 131 mins.
Job 14 Operation 11 duration 126 mins.
Job 10 Operation 13 duration 86 mins.
Job 1 Operation 14 duration 141 mins.
Job 2 Operation 14 duration 39 mins.
Machine 9 is used for the following Operations:
Job 7 Operation 1 duration 67 mins.
Job 4 Operation 3 duration 18 mins.
Job 9 Operation 3 duration 14 mins.
Job 1 Operation 4 duration 77 mins.
Job 6 Operation 5 duration 74 mins.
Job 12 Operation 6 duration 124 mins.
Job 13 Operation 6 duration 143 mins.
Job 3 Operation 7 duration 77 mins.
Job 2 Operation 9 duration 254 mins.
Job 8 Operation 9 duration 51 mins.
Job 11 Operation 10 duration 238 mins.
Job 0 Operation 12 duration 174 mins.
Job 5 Operation 13 duration 63 mins.
Job 14 Operation 13 duration 69 mins.
Job 10 Operation 14 duration 186 mins.
Machine 10 is used for the following Operations:
Job 3 Operation 2 duration 269 mins.
Job 0 Operation 3 duration 218 mins.
Job 5 Operation 3 duration 171 mins.
Job 6 Operation 3 duration 139 mins.
Job 13 Operation 3 duration 126 mins.
Job 11 Operation 4 duration 143 mins.
Job 10 Operation 6 duration 21 mins.
Job 2 Operation 7 duration 98 mins.
Job 9 Operation 7 duration 37 mins.
Job 12 Operation 7 duration 176 mins.
Job 8 Operation 8 duration 259 mins.
Job 4 Operation 9 duration 150 mins.
Job 7 Operation 11 duration 204 mins.
Job 1 Operation 12 duration 72 mins.
Job 14 Operation 14 duration 172 mins.
Machine 11 is used for the following Operations:
Job 4 Operation 0 duration 43 mins.
Job 5 Operation 0 duration 107 mins.
Job 7 Operation 0 duration 91 mins.
Job 0 Operation 6 duration 248 mins.
Job 6 Operation 6 duration 49 mins.
Job 8 Operation 6 duration 45 mins.
Job 9 Operation 6 duration 41 mins.
Job 14 Operation 7 duration 163 mins.
Job 10 Operation 10 duration 215 mins.
Job 12 Operation 10 duration 232 mins.
Job 1 Operation 13 duration 230 mins.
Job 2 Operation 13 duration 32 mins.
Job 3 Operation 13 duration 62 mins.
Job 11 Operation 14 duration 206 mins.
Job 13 Operation 14 duration 188 mins.
Machine 12 is used for the following Operations:
Job 10 Operation 0 duration 228 mins.
Job 1 Operation 1 duration 221 mins.
Job 12 Operation 3 duration 227 mins.
Job 9 Operation 4 duration 249 mins.
Job 7 Operation 5 duration 224 mins.
Job 6 Operation 7 duration 52 mins.
Job 8 Operation 7 duration 222 mins.
Job 13 Operation 7 duration 67 mins.
Job 3 Operation 9 duration 46 mins.
Job 14 Operation 9 duration 11 mins.
Job 0 Operation 10 duration 168 mins.
Job 2 Operation 10 duration 81 mins.
Job 5 Operation 11 duration 115 mins.
Job 11 Operation 11 duration 75 mins.
Job 4 Operation 12 duration 226 mins.
Machine 13 is used for the following Operations:
Job 1 Operation 0 duration 66 mins.
Job 6 Operation 0 duration 219 mins.
Job 11 Operation 3 duration 134 mins.
Job 0 Operation 5 duration 78 mins.
Job 10 Operation 5 duration 1 mins.
Job 5 Operation 6 duration 248 mins.
Job 13 Operation 8 duration 8 mins.
Job 14 Operation 8 duration 223 mins.
Job 9 Operation 9 duration 65 mins.
Job 8 Operation 10 duration 95 mins.
Job 2 Operation 12 duration 77 mins.
Job 3 Operation 12 duration 190 mins.
Job 7 Operation 13 duration 183 mins.
Job 12 Operation 13 duration 18 mins.
Job 4 Operation 14 duration 96 mins.
Machine 14 is used for the following Operations:
Job 1 Operation 3 duration 112 mins.
Job 7 Operation 4 duration 85 mins.
Job 14 Operation 4 duration 189 mins.
Job 4 Operation 5 duration 244 mins.
Job 9 Operation 5 duration 155 mins.
Job 11 Operation 8 duration 253 mins.
Job 5 Operation 10 duration 102 mins.
Job 13 Operation 10 duration 92 mins.
Job 0 Operation 11 duration 267 mins.
Job 2 Operation 11 duration 106 mins.
Job 8 Operation 11 duration 35 mins.
Job 10 Operation 12 duration 114 mins.
Job 3 Operation 14 duration 152 mins.
Job 6 Operation 14 duration 272 mins.
Job 12 Operation 14 duration 136 mins.
| null |
Solution:
Job 11 Operation 0 on Machine 0 : 0 + 96 -> 96
Job 3 Operation 0 on Machine 1 : 0 + 200 -> 200
Job 2 Operation 0 on Machine 2 : 0 + 36 -> 36
Job 14 Operation 0 on Machine 4 : 0 + 20 -> 20
Job 9 Operation 0 on Machine 8 : 0 + 226 -> 226
Job 5 Operation 0 on Machine 11 : 0 + 107 -> 107
Job 10 Operation 0 on Machine 12 : 0 + 228 -> 228
Job 1 Operation 0 on Machine 13 : 0 + 66 -> 66
Job 2 Operation 1 on Machine 6 : 36 + 16 -> 52
Job 2 Operation 2 on Machine 4 : 52 + 220 -> 272
Job 12 Operation 0 on Machine 6 : 52 + 200 -> 252
Job 6 Operation 0 on Machine 13 : 66 + 219 -> 285
Job 7 Operation 0 on Machine 11 : 107 + 91 -> 198
Job 7 Operation 1 on Machine 9 : 198 + 67 -> 265
Job 4 Operation 0 on Machine 11 : 198 + 43 -> 241
Job 13 Operation 0 on Machine 1 : 200 + 9 -> 209
Job 3 Operation 1 on Machine 5 : 200 + 127 -> 327
Job 13 Operation 1 on Machine 7 : 209 + 156 -> 365
Job 9 Operation 1 on Machine 2 : 226 + 262 -> 488
Job 10 Operation 1 on Machine 1 : 228 + 15 -> 243
Job 1 Operation 1 on Machine 12 : 228 + 221 -> 449
Job 14 Operation 1 on Machine 6 : 252 + 40 -> 292
Job 12 Operation 1 on Machine 8 : 252 + 246 -> 498
Job 7 Operation 2 on Machine 0 : 265 + 168 -> 433
Job 2 Operation 3 on Machine 1 : 272 + 200 -> 472
Job 4 Operation 1 on Machine 4 : 272 + 128 -> 400
Job 5 Operation 1 on Machine 6 : 292 + 27 -> 319
Job 8 Operation 0 on Machine 6 : 319 + 110 -> 429
Job 10 Operation 2 on Machine 5 : 327 + 37 -> 364
Job 3 Operation 2 on Machine 10 : 327 + 269 -> 596
Job 10 Operation 3 on Machine 7 : 365 + 253 -> 618
Job 0 Operation 0 on Machine 6 : 429 + 149 -> 578
Job 14 Operation 2 on Machine 1 : 472 + 23 -> 495
Job 2 Operation 4 on Machine 5 : 472 + 5 -> 477
Job 7 Operation 3 on Machine 5 : 477 + 266 -> 743
Job 13 Operation 2 on Machine 2 : 488 + 120 -> 608
Job 12 Operation 2 on Machine 1 : 498 + 86 -> 584
Job 8 Operation 1 on Machine 8 : 498 + 152 -> 650
Job 0 Operation 1 on Machine 1 : 584 + 82 -> 666
Job 12 Operation 3 on Machine 12 : 584 + 227 -> 811
Job 10 Operation 4 on Machine 2 : 618 + 25 -> 643
Job 2 Operation 5 on Machine 7 : 618 + 238 -> 856
Job 10 Operation 5 on Machine 13 : 643 + 1 -> 644
Job 10 Operation 6 on Machine 10 : 644 + 21 -> 665
Job 8 Operation 2 on Machine 3 : 650 + 5 -> 655
Job 3 Operation 3 on Machine 8 : 650 + 7 -> 657
Job 3 Operation 4 on Machine 2 : 657 + 269 -> 926
Job 10 Operation 7 on Machine 3 : 665 + 201 -> 866
Job 4 Operation 2 on Machine 1 : 666 + 244 -> 910
Job 0 Operation 2 on Machine 8 : 666 + 43 -> 709
Job 5 Operation 2 on Machine 8 : 709 + 235 -> 944
Job 0 Operation 3 on Machine 10 : 709 + 218 -> 927
Job 8 Operation 3 on Machine 5 : 743 + 269 -> 1012
Job 7 Operation 4 on Machine 14 : 743 + 85 -> 828
Job 6 Operation 1 on Machine 7 : 856 + 60 -> 916
Job 10 Operation 8 on Machine 0 : 866 + 200 -> 1066
Job 2 Operation 6 on Machine 3 : 866 + 73 -> 939
Job 4 Operation 3 on Machine 9 : 910 + 18 -> 928
Job 6 Operation 2 on Machine 1 : 916 + 229 -> 1145
Job 1 Operation 2 on Machine 7 : 916 + 40 -> 956
Job 14 Operation 3 on Machine 2 : 926 + 137 -> 1063
Job 0 Operation 4 on Machine 4 : 927 + 154 -> 1081
Job 9 Operation 2 on Machine 3 : 939 + 181 -> 1120
Job 2 Operation 7 on Machine 10 : 939 + 98 -> 1037
Job 11 Operation 1 on Machine 7 : 956 + 144 -> 1100
Job 1 Operation 3 on Machine 14 : 956 + 112 -> 1068
Job 13 Operation 3 on Machine 10 : 1037 + 126 -> 1163
Job 12 Operation 4 on Machine 2 : 1063 + 234 -> 1297
Job 2 Operation 8 on Machine 0 : 1066 + 266 -> 1332
Job 1 Operation 4 on Machine 9 : 1068 + 77 -> 1145
Job 14 Operation 4 on Machine 14 : 1068 + 189 -> 1257
Job 10 Operation 9 on Machine 4 : 1081 + 272 -> 1353
Job 0 Operation 5 on Machine 13 : 1081 + 78 -> 1159
Job 4 Operation 4 on Machine 7 : 1100 + 188 -> 1288
Job 11 Operation 2 on Machine 8 : 1100 + 202 -> 1302
Job 3 Operation 5 on Machine 3 : 1120 + 178 -> 1298
Job 1 Operation 5 on Machine 5 : 1145 + 146 -> 1291
Job 9 Operation 3 on Machine 9 : 1145 + 14 -> 1159
Job 0 Operation 6 on Machine 11 : 1159 + 248 -> 1407
Job 9 Operation 4 on Machine 12 : 1159 + 249 -> 1408
Job 6 Operation 3 on Machine 10 : 1163 + 139 -> 1302
Job 8 Operation 4 on Machine 7 : 1288 + 165 -> 1453
Job 4 Operation 5 on Machine 14 : 1288 + 244 -> 1532
Job 1 Operation 6 on Machine 2 : 1297 + 69 -> 1366
Job 13 Operation 4 on Machine 3 : 1298 + 100 -> 1398
Job 6 Operation 4 on Machine 6 : 1302 + 22 -> 1324
Job 5 Operation 3 on Machine 10 : 1302 + 171 -> 1473
Job 11 Operation 3 on Machine 13 : 1302 + 134 -> 1436
Job 6 Operation 5 on Machine 9 : 1324 + 74 -> 1398
Job 12 Operation 5 on Machine 0 : 1332 + 122 -> 1454
Job 1 Operation 7 on Machine 3 : 1398 + 92 -> 1490
Job 13 Operation 5 on Machine 4 : 1398 + 14 -> 1412
Job 10 Operation 10 on Machine 11 : 1407 + 215 -> 1622
Job 7 Operation 5 on Machine 12 : 1408 + 224 -> 1632
Job 13 Operation 6 on Machine 9 : 1412 + 143 -> 1555
Job 3 Operation 6 on Machine 0 : 1454 + 267 -> 1721
Job 11 Operation 4 on Machine 10 : 1473 + 143 -> 1616
Job 1 Operation 8 on Machine 1 : 1490 + 19 -> 1509
Job 0 Operation 7 on Machine 3 : 1490 + 237 -> 1727
Job 5 Operation 4 on Machine 1 : 1509 + 110 -> 1619
Job 1 Operation 9 on Machine 4 : 1509 + 204 -> 1713
Job 4 Operation 6 on Machine 2 : 1532 + 71 -> 1603
Job 9 Operation 5 on Machine 14 : 1532 + 155 -> 1687
Job 2 Operation 9 on Machine 9 : 1555 + 254 -> 1809
Job 4 Operation 7 on Machine 5 : 1603 + 226 -> 1829
Job 11 Operation 5 on Machine 2 : 1616 + 172 -> 1788
Job 5 Operation 5 on Machine 7 : 1619 + 83 -> 1702
Job 10 Operation 11 on Machine 6 : 1622 + 95 -> 1717
Job 13 Operation 7 on Machine 12 : 1632 + 67 -> 1699
Job 9 Operation 6 on Machine 11 : 1687 + 41 -> 1728
Job 13 Operation 8 on Machine 13 : 1699 + 8 -> 1707
Job 14 Operation 5 on Machine 7 : 1702 + 196 -> 1898
Job 13 Operation 9 on Machine 8 : 1707 + 100 -> 1807
Job 5 Operation 6 on Machine 13 : 1707 + 248 -> 1955
Job 8 Operation 5 on Machine 4 : 1713 + 238 -> 1951
Job 1 Operation 10 on Machine 0 : 1721 + 268 -> 1989
Job 7 Operation 6 on Machine 3 : 1727 + 90 -> 1817
Job 9 Operation 7 on Machine 10 : 1728 + 37 -> 1765
Job 6 Operation 6 on Machine 11 : 1728 + 49 -> 1777
Job 9 Operation 8 on Machine 1 : 1765 + 244 -> 2009
Job 6 Operation 7 on Machine 12 : 1777 + 52 -> 1829
Job 0 Operation 8 on Machine 2 : 1788 + 136 -> 1924
Job 11 Operation 6 on Machine 6 : 1788 + 193 -> 1981
Job 13 Operation 10 on Machine 14 : 1807 + 92 -> 1899
Job 12 Operation 6 on Machine 9 : 1809 + 124 -> 1933
Job 7 Operation 7 on Machine 8 : 1817 + 267 -> 2084
Job 2 Operation 10 on Machine 12 : 1829 + 81 -> 1910
Job 14 Operation 6 on Machine 3 : 1898 + 203 -> 2101
Job 10 Operation 12 on Machine 14 : 1899 + 114 -> 2013
Job 0 Operation 9 on Machine 7 : 1924 + 62 -> 1986
Job 3 Operation 7 on Machine 9 : 1933 + 77 -> 2010
Job 12 Operation 7 on Machine 10 : 1933 + 176 -> 2109
Job 6 Operation 8 on Machine 4 : 1951 + 66 -> 2017
Job 8 Operation 6 on Machine 11 : 1951 + 45 -> 1996
Job 13 Operation 11 on Machine 0 : 1989 + 47 -> 2036
Job 8 Operation 7 on Machine 12 : 1996 + 222 -> 2218
Job 9 Operation 9 on Machine 13 : 2009 + 65 -> 2074
Job 2 Operation 11 on Machine 14 : 2013 + 106 -> 2119
Job 6 Operation 9 on Machine 2 : 2017 + 91 -> 2108
Job 3 Operation 8 on Machine 4 : 2017 + 211 -> 2228
Job 5 Operation 7 on Machine 0 : 2036 + 256 -> 2292
Job 13 Operation 12 on Machine 5 : 2036 + 61 -> 2097
Job 7 Operation 8 on Machine 1 : 2084 + 155 -> 2239
Job 10 Operation 13 on Machine 8 : 2084 + 86 -> 2170
Job 11 Operation 7 on Machine 5 : 2097 + 1 -> 2098
Job 13 Operation 13 on Machine 6 : 2097 + 203 -> 2300
Job 14 Operation 7 on Machine 11 : 2101 + 163 -> 2264
Job 6 Operation 10 on Machine 3 : 2108 + 86 -> 2194
Job 12 Operation 8 on Machine 5 : 2109 + 86 -> 2195
Job 11 Operation 8 on Machine 14 : 2119 + 253 -> 2372
Job 10 Operation 14 on Machine 9 : 2170 + 186 -> 2356
Job 6 Operation 11 on Machine 8 : 2194 + 131 -> 2325
Job 12 Operation 9 on Machine 7 : 2195 + 100 -> 2295
Job 8 Operation 8 on Machine 10 : 2218 + 259 -> 2477
Job 0 Operation 10 on Machine 12 : 2218 + 168 -> 2386
Job 7 Operation 9 on Machine 4 : 2239 + 73 -> 2312
Job 14 Operation 8 on Machine 13 : 2264 + 223 -> 2487
Job 4 Operation 8 on Machine 0 : 2292 + 110 -> 2402
Job 5 Operation 8 on Machine 3 : 2292 + 64 -> 2356
Job 12 Operation 10 on Machine 11 : 2295 + 232 -> 2527
Job 7 Operation 10 on Machine 6 : 2312 + 209 -> 2521
Job 6 Operation 12 on Machine 5 : 2325 + 149 -> 2474
Job 5 Operation 9 on Machine 2 : 2356 + 240 -> 2596
Job 11 Operation 9 on Machine 1 : 2372 + 39 -> 2411
Job 3 Operation 9 on Machine 12 : 2386 + 46 -> 2432
Job 0 Operation 11 on Machine 14 : 2386 + 267 -> 2653
Job 9 Operation 10 on Machine 0 : 2402 + 262 -> 2664
Job 3 Operation 10 on Machine 7 : 2432 + 199 -> 2631
Job 8 Operation 9 on Machine 9 : 2477 + 51 -> 2528
Job 4 Operation 9 on Machine 10 : 2477 + 150 -> 2627
Job 14 Operation 9 on Machine 12 : 2487 + 11 -> 2498
Job 14 Operation 10 on Machine 5 : 2498 + 75 -> 2573
Job 12 Operation 11 on Machine 3 : 2527 + 245 -> 2772
Job 13 Operation 14 on Machine 11 : 2527 + 188 -> 2715
Job 11 Operation 10 on Machine 9 : 2528 + 238 -> 2766
Job 8 Operation 10 on Machine 13 : 2528 + 95 -> 2623
Job 4 Operation 10 on Machine 8 : 2627 + 218 -> 2845
Job 7 Operation 11 on Machine 10 : 2627 + 204 -> 2831
Job 3 Operation 11 on Machine 6 : 2631 + 29 -> 2660
Job 8 Operation 11 on Machine 14 : 2653 + 35 -> 2688
Job 1 Operation 11 on Machine 6 : 2660 + 147 -> 2807
Job 3 Operation 12 on Machine 13 : 2660 + 190 -> 2850
Job 6 Operation 13 on Machine 0 : 2664 + 190 -> 2854
Job 9 Operation 11 on Machine 7 : 2664 + 256 -> 2920
Job 5 Operation 10 on Machine 14 : 2688 + 102 -> 2790
Job 0 Operation 12 on Machine 9 : 2766 + 174 -> 2940
Job 11 Operation 11 on Machine 12 : 2766 + 75 -> 2841
Job 12 Operation 12 on Machine 4 : 2772 + 131 -> 2903
Job 7 Operation 12 on Machine 2 : 2831 + 143 -> 2974
Job 1 Operation 12 on Machine 10 : 2831 + 72 -> 2903
Job 5 Operation 11 on Machine 12 : 2841 + 115 -> 2956
Job 4 Operation 11 on Machine 3 : 2845 + 197 -> 3042
Job 14 Operation 11 on Machine 8 : 2845 + 126 -> 2971
Job 3 Operation 13 on Machine 11 : 2850 + 62 -> 2912
Job 2 Operation 12 on Machine 13 : 2850 + 77 -> 2927
Job 8 Operation 12 on Machine 0 : 2854 + 171 -> 3025
Job 6 Operation 14 on Machine 14 : 2854 + 272 -> 3126
Job 11 Operation 12 on Machine 4 : 2903 + 208 -> 3111
Job 9 Operation 12 on Machine 5 : 2920 + 4 -> 2924
Job 2 Operation 13 on Machine 11 : 2927 + 32 -> 2959
Job 5 Operation 12 on Machine 5 : 2956 + 125 -> 3081
Job 1 Operation 13 on Machine 11 : 2959 + 230 -> 3189
Job 2 Operation 14 on Machine 8 : 2971 + 39 -> 3010
Job 7 Operation 13 on Machine 13 : 2974 + 183 -> 3157
Job 14 Operation 12 on Machine 0 : 3025 + 155 -> 3180
Job 8 Operation 13 on Machine 1 : 3025 + 103 -> 3128
Job 4 Operation 12 on Machine 12 : 3042 + 226 -> 3268
Job 0 Operation 13 on Machine 5 : 3081 + 67 -> 3148
Job 5 Operation 13 on Machine 9 : 3081 + 63 -> 3144
Job 11 Operation 13 on Machine 3 : 3111 + 62 -> 3173
Job 9 Operation 13 on Machine 4 : 3111 + 161 -> 3272
Job 3 Operation 14 on Machine 14 : 3126 + 152 -> 3278
Job 8 Operation 14 on Machine 2 : 3128 + 199 -> 3327
Job 7 Operation 14 on Machine 7 : 3157 + 245 -> 3402
Job 12 Operation 13 on Machine 13 : 3157 + 18 -> 3175
Job 0 Operation 14 on Machine 0 : 3180 + 195 -> 3375
Job 14 Operation 13 on Machine 9 : 3180 + 69 -> 3249
Job 1 Operation 14 on Machine 8 : 3189 + 141 -> 3330
Job 11 Operation 14 on Machine 11 : 3189 + 206 -> 3395
Job 14 Operation 14 on Machine 10 : 3249 + 172 -> 3421
Job 4 Operation 13 on Machine 6 : 3268 + 15 -> 3283
Job 5 Operation 14 on Machine 4 : 3272 + 132 -> 3404
Job 12 Operation 14 on Machine 14 : 3278 + 136 -> 3414
Job 9 Operation 14 on Machine 6 : 3283 + 111 -> 3394
Job 4 Operation 14 on Machine 13 : 3283 + 96 -> 3379
Makespan: 3421.0, as it is the maximum end completion time of Operation 14
| null |
|
20 | 20 |
Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 209 mins.
Operation 1 on Machine 4 duration 120 mins.
Operation 2 on Machine 8 duration 288 mins.
Operation 3 on Machine 13 duration 269 mins.
Operation 4 on Machine 12 duration 477 mins.
Operation 5 on Machine 6 duration 20 mins.
Operation 6 on Machine 19 duration 423 mins.
Operation 7 on Machine 0 duration 399 mins.
Operation 8 on Machine 2 duration 411 mins.
Operation 9 on Machine 11 duration 336 mins.
Operation 10 on Machine 7 duration 384 mins.
Operation 11 on Machine 1 duration 139 mins.
Operation 12 on Machine 10 duration 360 mins.
Operation 13 on Machine 18 duration 256 mins.
Operation 14 on Machine 15 duration 416 mins.
Operation 15 on Machine 17 duration 390 mins.
Operation 16 on Machine 16 duration 194 mins.
Operation 17 on Machine 5 duration 252 mins.
Operation 18 on Machine 14 duration 213 mins.
Operation 19 on Machine 9 duration 85 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 230 mins.
Operation 1 on Machine 15 duration 320 mins.
Operation 2 on Machine 18 duration 224 mins.
Operation 3 on Machine 0 duration 421 mins.
Operation 4 on Machine 6 duration 208 mins.
Operation 5 on Machine 8 duration 212 mins.
Operation 6 on Machine 1 duration 223 mins.
Operation 7 on Machine 4 duration 75 mins.
Operation 8 on Machine 12 duration 425 mins.
Operation 9 on Machine 10 duration 458 mins.
Operation 10 on Machine 19 duration 429 mins.
Operation 11 on Machine 13 duration 320 mins.
Operation 12 on Machine 11 duration 283 mins.
Operation 13 on Machine 16 duration 145 mins.
Operation 14 on Machine 7 duration 89 mins.
Operation 15 on Machine 3 duration 252 mins.
Operation 16 on Machine 17 duration 97 mins.
Operation 17 on Machine 5 duration 115 mins.
Operation 18 on Machine 14 duration 426 mins.
Operation 19 on Machine 9 duration 164 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 112 mins.
Operation 1 on Machine 15 duration 122 mins.
Operation 2 on Machine 12 duration 13 mins.
Operation 3 on Machine 19 duration 370 mins.
Operation 4 on Machine 8 duration 403 mins.
Operation 5 on Machine 0 duration 74 mins.
Operation 6 on Machine 16 duration 467 mins.
Operation 7 on Machine 10 duration 273 mins.
Operation 8 on Machine 4 duration 378 mins.
Operation 9 on Machine 18 duration 180 mins.
Operation 10 on Machine 9 duration 110 mins.
Operation 11 on Machine 7 duration 439 mins.
Operation 12 on Machine 17 duration 219 mins.
Operation 13 on Machine 13 duration 226 mins.
Operation 14 on Machine 11 duration 104 mins.
Operation 15 on Machine 6 duration 354 mins.
Operation 16 on Machine 5 duration 146 mins.
Operation 17 on Machine 14 duration 53 mins.
Operation 18 on Machine 2 duration 207 mins.
Operation 19 on Machine 3 duration 38 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 12 duration 187 mins.
Operation 1 on Machine 4 duration 42 mins.
Operation 2 on Machine 18 duration 12 mins.
Operation 3 on Machine 8 duration 459 mins.
Operation 4 on Machine 16 duration 303 mins.
Operation 5 on Machine 9 duration 268 mins.
Operation 6 on Machine 3 duration 346 mins.
Operation 7 on Machine 7 duration 293 mins.
Operation 8 on Machine 17 duration 376 mins.
Operation 9 on Machine 13 duration 214 mins.
Operation 10 on Machine 6 duration 324 mins.
Operation 11 on Machine 11 duration 84 mins.
Operation 12 on Machine 0 duration 314 mins.
Operation 13 on Machine 5 duration 343 mins.
Operation 14 on Machine 10 duration 164 mins.
Operation 15 on Machine 15 duration 45 mins.
Operation 16 on Machine 14 duration 311 mins.
Operation 17 on Machine 19 duration 29 mins.
Operation 18 on Machine 2 duration 288 mins.
Operation 19 on Machine 1 duration 192 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 10 duration 306 mins.
Operation 1 on Machine 4 duration 111 mins.
Operation 2 on Machine 14 duration 232 mins.
Operation 3 on Machine 18 duration 399 mins.
Operation 4 on Machine 19 duration 105 mins.
Operation 5 on Machine 2 duration 173 mins.
Operation 6 on Machine 5 duration 418 mins.
Operation 7 on Machine 16 duration 135 mins.
Operation 8 on Machine 1 duration 401 mins.
Operation 9 on Machine 17 duration 459 mins.
Operation 10 on Machine 7 duration 265 mins.
Operation 11 on Machine 15 duration 58 mins.
Operation 12 on Machine 13 duration 339 mins.
Operation 13 on Machine 9 duration 278 mins.
Operation 14 on Machine 11 duration 282 mins.
Operation 15 on Machine 0 duration 317 mins.
Operation 16 on Machine 6 duration 176 mins.
Operation 17 on Machine 8 duration 434 mins.
Operation 18 on Machine 3 duration 337 mins.
Operation 19 on Machine 12 duration 274 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 7 duration 115 mins.
Operation 1 on Machine 10 duration 258 mins.
Operation 2 on Machine 17 duration 211 mins.
Operation 3 on Machine 9 duration 51 mins.
Operation 4 on Machine 4 duration 428 mins.
Operation 5 on Machine 3 duration 330 mins.
Operation 6 on Machine 0 duration 294 mins.
Operation 7 on Machine 19 duration 238 mins.
Operation 8 on Machine 15 duration 134 mins.
Operation 9 on Machine 6 duration 147 mins.
Operation 10 on Machine 18 duration 466 mins.
Operation 11 on Machine 16 duration 74 mins.
Operation 12 on Machine 2 duration 317 mins.
Operation 13 on Machine 12 duration 66 mins.
Operation 14 on Machine 11 duration 212 mins.
Operation 15 on Machine 13 duration 396 mins.
Operation 16 on Machine 1 duration 200 mins.
Operation 17 on Machine 5 duration 141 mins.
Operation 18 on Machine 8 duration 372 mins.
Operation 19 on Machine 14 duration 276 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 15 duration 177 mins.
Operation 1 on Machine 8 duration 300 mins.
Operation 2 on Machine 10 duration 148 mins.
Operation 3 on Machine 3 duration 361 mins.
Operation 4 on Machine 16 duration 371 mins.
Operation 5 on Machine 7 duration 442 mins.
Operation 6 on Machine 1 duration 267 mins.
Operation 7 on Machine 9 duration 423 mins.
Operation 8 on Machine 12 duration 475 mins.
Operation 9 on Machine 19 duration 347 mins.
Operation 10 on Machine 17 duration 453 mins.
Operation 11 on Machine 13 duration 432 mins.
Operation 12 on Machine 6 duration 262 mins.
Operation 13 on Machine 11 duration 237 mins.
Operation 14 on Machine 18 duration 384 mins.
Operation 15 on Machine 4 duration 354 mins.
Operation 16 on Machine 5 duration 343 mins.
Operation 17 on Machine 2 duration 272 mins.
Operation 18 on Machine 0 duration 35 mins.
Operation 19 on Machine 14 duration 130 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 11 duration 155 mins.
Operation 1 on Machine 10 duration 425 mins.
Operation 2 on Machine 3 duration 408 mins.
Operation 3 on Machine 19 duration 208 mins.
Operation 4 on Machine 7 duration 91 mins.
Operation 5 on Machine 18 duration 323 mins.
Operation 6 on Machine 13 duration 13 mins.
Operation 7 on Machine 1 duration 44 mins.
Operation 8 on Machine 17 duration 468 mins.
Operation 9 on Machine 2 duration 295 mins.
Operation 10 on Machine 12 duration 74 mins.
Operation 11 on Machine 8 duration 34 mins.
Operation 12 on Machine 0 duration 470 mins.
Operation 13 on Machine 4 duration 8 mins.
Operation 14 on Machine 9 duration 61 mins.
Operation 15 on Machine 14 duration 348 mins.
Operation 16 on Machine 15 duration 274 mins.
Operation 17 on Machine 5 duration 393 mins.
Operation 18 on Machine 6 duration 78 mins.
Operation 19 on Machine 16 duration 261 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 248 mins.
Operation 1 on Machine 6 duration 477 mins.
Operation 2 on Machine 15 duration 477 mins.
Operation 3 on Machine 12 duration 401 mins.
Operation 4 on Machine 14 duration 166 mins.
Operation 5 on Machine 16 duration 313 mins.
Operation 6 on Machine 19 duration 95 mins.
Operation 7 on Machine 18 duration 9 mins.
Operation 8 on Machine 3 duration 36 mins.
Operation 9 on Machine 7 duration 79 mins.
Operation 10 on Machine 0 duration 289 mins.
Operation 11 on Machine 11 duration 348 mins.
Operation 12 on Machine 2 duration 262 mins.
Operation 13 on Machine 1 duration 370 mins.
Operation 14 on Machine 17 duration 477 mins.
Operation 15 on Machine 5 duration 337 mins.
Operation 16 on Machine 9 duration 25 mins.
Operation 17 on Machine 10 duration 97 mins.
Operation 18 on Machine 8 duration 149 mins.
Operation 19 on Machine 13 duration 184 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 12 duration 126 mins.
Operation 1 on Machine 10 duration 62 mins.
Operation 2 on Machine 18 duration 283 mins.
Operation 3 on Machine 4 duration 383 mins.
Operation 4 on Machine 17 duration 174 mins.
Operation 5 on Machine 3 duration 100 mins.
Operation 6 on Machine 11 duration 235 mins.
Operation 7 on Machine 0 duration 338 mins.
Operation 8 on Machine 16 duration 321 mins.
Operation 9 on Machine 13 duration 78 mins.
Operation 10 on Machine 1 duration 323 mins.
Operation 11 on Machine 6 duration 236 mins.
Operation 12 on Machine 14 duration 199 mins.
Operation 13 on Machine 19 duration 59 mins.
Operation 14 on Machine 15 duration 24 mins.
Operation 15 on Machine 8 duration 231 mins.
Operation 16 on Machine 7 duration 95 mins.
Operation 17 on Machine 2 duration 208 mins.
Operation 18 on Machine 9 duration 437 mins.
Operation 19 on Machine 5 duration 375 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 19 duration 431 mins.
Operation 1 on Machine 16 duration 61 mins.
Operation 2 on Machine 8 duration 166 mins.
Operation 3 on Machine 14 duration 352 mins.
Operation 4 on Machine 3 duration 307 mins.
Operation 5 on Machine 7 duration 273 mins.
Operation 6 on Machine 18 duration 362 mins.
Operation 7 on Machine 5 duration 181 mins.
Operation 8 on Machine 9 duration 163 mins.
Operation 9 on Machine 4 duration 262 mins.
Operation 10 on Machine 12 duration 361 mins.
Operation 11 on Machine 10 duration 315 mins.
Operation 12 on Machine 17 duration 137 mins.
Operation 13 on Machine 6 duration 9 mins.
Operation 14 on Machine 2 duration 75 mins.
Operation 15 on Machine 1 duration 412 mins.
Operation 16 on Machine 11 duration 461 mins.
Operation 17 on Machine 0 duration 80 mins.
Operation 18 on Machine 13 duration 151 mins.
Operation 19 on Machine 15 duration 299 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 10 duration 279 mins.
Operation 1 on Machine 12 duration 161 mins.
Operation 2 on Machine 14 duration 209 mins.
Operation 3 on Machine 19 duration 1 mins.
Operation 4 on Machine 16 duration 173 mins.
Operation 5 on Machine 15 duration 79 mins.
Operation 6 on Machine 4 duration 177 mins.
Operation 7 on Machine 17 duration 107 mins.
Operation 8 on Machine 11 duration 303 mins.
Operation 9 on Machine 5 duration 453 mins.
Operation 10 on Machine 6 duration 108 mins.
Operation 11 on Machine 3 duration 410 mins.
Operation 12 on Machine 2 duration 184 mins.
Operation 13 on Machine 1 duration 240 mins.
Operation 14 on Machine 18 duration 24 mins.
Operation 15 on Machine 9 duration 318 mins.
Operation 16 on Machine 13 duration 323 mins.
Operation 17 on Machine 0 duration 57 mins.
Operation 18 on Machine 7 duration 185 mins.
Operation 19 on Machine 8 duration 134 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 6 duration 48 mins.
Operation 1 on Machine 17 duration 328 mins.
Operation 2 on Machine 10 duration 442 mins.
Operation 3 on Machine 3 duration 439 mins.
Operation 4 on Machine 11 duration 449 mins.
Operation 5 on Machine 7 duration 459 mins.
Operation 6 on Machine 15 duration 350 mins.
Operation 7 on Machine 12 duration 32 mins.
Operation 8 on Machine 2 duration 224 mins.
Operation 9 on Machine 8 duration 388 mins.
Operation 10 on Machine 14 duration 351 mins.
Operation 11 on Machine 5 duration 318 mins.
Operation 12 on Machine 1 duration 126 mins.
Operation 13 on Machine 4 duration 151 mins.
Operation 14 on Machine 0 duration 51 mins.
Operation 15 on Machine 18 duration 332 mins.
Operation 16 on Machine 19 duration 101 mins.
Operation 17 on Machine 16 duration 322 mins.
Operation 18 on Machine 13 duration 85 mins.
Operation 19 on Machine 9 duration 3 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 6 duration 51 mins.
Operation 1 on Machine 10 duration 201 mins.
Operation 2 on Machine 17 duration 212 mins.
Operation 3 on Machine 19 duration 233 mins.
Operation 4 on Machine 14 duration 434 mins.
Operation 5 on Machine 16 duration 476 mins.
Operation 6 on Machine 2 duration 180 mins.
Operation 7 on Machine 5 duration 165 mins.
Operation 8 on Machine 1 duration 63 mins.
Operation 9 on Machine 18 duration 62 mins.
Operation 10 on Machine 7 duration 88 mins.
Operation 11 on Machine 4 duration 169 mins.
Operation 12 on Machine 3 duration 49 mins.
Operation 13 on Machine 13 duration 412 mins.
Operation 14 on Machine 11 duration 469 mins.
Operation 15 on Machine 0 duration 127 mins.
Operation 16 on Machine 9 duration 304 mins.
Operation 17 on Machine 12 duration 406 mins.
Operation 18 on Machine 15 duration 248 mins.
Operation 19 on Machine 8 duration 249 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 19 duration 465 mins.
Operation 1 on Machine 8 duration 397 mins.
Operation 2 on Machine 10 duration 115 mins.
Operation 3 on Machine 11 duration 350 mins.
Operation 4 on Machine 4 duration 281 mins.
Operation 5 on Machine 18 duration 390 mins.
Operation 6 on Machine 2 duration 208 mins.
Operation 7 on Machine 7 duration 289 mins.
Operation 8 on Machine 15 duration 271 mins.
Operation 9 on Machine 12 duration 89 mins.
Operation 10 on Machine 1 duration 366 mins.
Operation 11 on Machine 14 duration 263 mins.
Operation 12 on Machine 16 duration 424 mins.
Operation 13 on Machine 3 duration 255 mins.
Operation 14 on Machine 13 duration 140 mins.
Operation 15 on Machine 5 duration 433 mins.
Operation 16 on Machine 6 duration 248 mins.
Operation 17 on Machine 0 duration 378 mins.
Operation 18 on Machine 17 duration 341 mins.
Operation 19 on Machine 9 duration 333 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 5 duration 39 mins.
Operation 1 on Machine 13 duration 199 mins.
Operation 2 on Machine 11 duration 116 mins.
Operation 3 on Machine 8 duration 46 mins.
Operation 4 on Machine 12 duration 133 mins.
Operation 5 on Machine 3 duration 136 mins.
Operation 6 on Machine 19 duration 192 mins.
Operation 7 on Machine 0 duration 28 mins.
Operation 8 on Machine 18 duration 318 mins.
Operation 9 on Machine 17 duration 152 mins.
Operation 10 on Machine 10 duration 152 mins.
Operation 11 on Machine 16 duration 146 mins.
Operation 12 on Machine 1 duration 235 mins.
Operation 13 on Machine 9 duration 57 mins.
Operation 14 on Machine 14 duration 201 mins.
Operation 15 on Machine 6 duration 270 mins.
Operation 16 on Machine 2 duration 145 mins.
Operation 17 on Machine 15 duration 56 mins.
Operation 18 on Machine 4 duration 232 mins.
Operation 19 on Machine 7 duration 165 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 11 duration 35 mins.
Operation 1 on Machine 3 duration 366 mins.
Operation 2 on Machine 7 duration 399 mins.
Operation 3 on Machine 0 duration 167 mins.
Operation 4 on Machine 10 duration 217 mins.
Operation 5 on Machine 5 duration 196 mins.
Operation 6 on Machine 14 duration 72 mins.
Operation 7 on Machine 17 duration 222 mins.
Operation 8 on Machine 15 duration 376 mins.
Operation 9 on Machine 18 duration 267 mins.
Operation 10 on Machine 9 duration 173 mins.
Operation 11 on Machine 12 duration 267 mins.
Operation 12 on Machine 6 duration 411 mins.
Operation 13 on Machine 1 duration 402 mins.
Operation 14 on Machine 4 duration 166 mins.
Operation 15 on Machine 8 duration 215 mins.
Operation 16 on Machine 16 duration 35 mins.
Operation 17 on Machine 13 duration 85 mins.
Operation 18 on Machine 19 duration 425 mins.
Operation 19 on Machine 2 duration 293 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 0 duration 405 mins.
Operation 1 on Machine 13 duration 402 mins.
Operation 2 on Machine 14 duration 471 mins.
Operation 3 on Machine 1 duration 299 mins.
Operation 4 on Machine 5 duration 284 mins.
Operation 5 on Machine 6 duration 49 mins.
Operation 6 on Machine 8 duration 394 mins.
Operation 7 on Machine 7 duration 149 mins.
Operation 8 on Machine 9 duration 82 mins.
Operation 9 on Machine 4 duration 223 mins.
Operation 10 on Machine 12 duration 20 mins.
Operation 11 on Machine 2 duration 422 mins.
Operation 12 on Machine 18 duration 19 mins.
Operation 13 on Machine 17 duration 318 mins.
Operation 14 on Machine 15 duration 467 mins.
Operation 15 on Machine 10 duration 450 mins.
Operation 16 on Machine 3 duration 390 mins.
Operation 17 on Machine 11 duration 432 mins.
Operation 18 on Machine 16 duration 305 mins.
Operation 19 on Machine 19 duration 331 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 14 duration 181 mins.
Operation 1 on Machine 4 duration 395 mins.
Operation 2 on Machine 9 duration 233 mins.
Operation 3 on Machine 10 duration 75 mins.
Operation 4 on Machine 3 duration 348 mins.
Operation 5 on Machine 0 duration 460 mins.
Operation 6 on Machine 17 duration 127 mins.
Operation 7 on Machine 6 duration 380 mins.
Operation 8 on Machine 13 duration 79 mins.
Operation 9 on Machine 1 duration 243 mins.
Operation 10 on Machine 5 duration 346 mins.
Operation 11 on Machine 18 duration 149 mins.
Operation 12 on Machine 19 duration 303 mins.
Operation 13 on Machine 11 duration 42 mins.
Operation 14 on Machine 7 duration 186 mins.
Operation 15 on Machine 12 duration 453 mins.
Operation 16 on Machine 2 duration 270 mins.
Operation 17 on Machine 15 duration 349 mins.
Operation 18 on Machine 16 duration 444 mins.
Operation 19 on Machine 8 duration 238 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 13 duration 417 mins.
Operation 1 on Machine 5 duration 469 mins.
Operation 2 on Machine 6 duration 32 mins.
Operation 3 on Machine 11 duration 165 mins.
Operation 4 on Machine 18 duration 358 mins.
Operation 5 on Machine 9 duration 205 mins.
Operation 6 on Machine 4 duration 322 mins.
Operation 7 on Machine 7 duration 287 mins.
Operation 8 on Machine 2 duration 216 mins.
Operation 9 on Machine 0 duration 321 mins.
Operation 10 on Machine 1 duration 364 mins.
Operation 11 on Machine 12 duration 422 mins.
Operation 12 on Machine 15 duration 372 mins.
Operation 13 on Machine 10 duration 138 mins.
Operation 14 on Machine 16 duration 37 mins.
Operation 15 on Machine 14 duration 251 mins.
Operation 16 on Machine 3 duration 261 mins.
Operation 17 on Machine 19 duration 475 mins.
Operation 18 on Machine 17 duration 136 mins.
Operation 19 on Machine 8 duration 440 mins.
| null |
Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 17 Operation 0 duration 405 mins.
Job 1 Operation 3 duration 421 mins.
Job 16 Operation 3 duration 167 mins.
Job 2 Operation 5 duration 74 mins.
Job 18 Operation 5 duration 460 mins.
Job 5 Operation 6 duration 294 mins.
Job 0 Operation 7 duration 399 mins.
Job 9 Operation 7 duration 338 mins.
Job 15 Operation 7 duration 28 mins.
Job 19 Operation 9 duration 321 mins.
Job 8 Operation 10 duration 289 mins.
Job 3 Operation 12 duration 314 mins.
Job 7 Operation 12 duration 470 mins.
Job 12 Operation 14 duration 51 mins.
Job 4 Operation 15 duration 317 mins.
Job 13 Operation 15 duration 127 mins.
Job 10 Operation 17 duration 80 mins.
Job 11 Operation 17 duration 57 mins.
Job 14 Operation 17 duration 378 mins.
Job 6 Operation 18 duration 35 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 112 mins.
Job 17 Operation 3 duration 299 mins.
Job 1 Operation 6 duration 223 mins.
Job 6 Operation 6 duration 267 mins.
Job 7 Operation 7 duration 44 mins.
Job 4 Operation 8 duration 401 mins.
Job 13 Operation 8 duration 63 mins.
Job 18 Operation 9 duration 243 mins.
Job 9 Operation 10 duration 323 mins.
Job 14 Operation 10 duration 366 mins.
Job 19 Operation 10 duration 364 mins.
Job 0 Operation 11 duration 139 mins.
Job 12 Operation 12 duration 126 mins.
Job 15 Operation 12 duration 235 mins.
Job 8 Operation 13 duration 370 mins.
Job 11 Operation 13 duration 240 mins.
Job 16 Operation 13 duration 402 mins.
Job 10 Operation 15 duration 412 mins.
Job 5 Operation 16 duration 200 mins.
Job 3 Operation 19 duration 192 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 230 mins.
Job 4 Operation 5 duration 173 mins.
Job 13 Operation 6 duration 180 mins.
Job 14 Operation 6 duration 208 mins.
Job 0 Operation 8 duration 411 mins.
Job 12 Operation 8 duration 224 mins.
Job 19 Operation 8 duration 216 mins.
Job 7 Operation 9 duration 295 mins.
Job 17 Operation 11 duration 422 mins.
Job 5 Operation 12 duration 317 mins.
Job 8 Operation 12 duration 262 mins.
Job 11 Operation 12 duration 184 mins.
Job 10 Operation 14 duration 75 mins.
Job 15 Operation 16 duration 145 mins.
Job 18 Operation 16 duration 270 mins.
Job 6 Operation 17 duration 272 mins.
Job 9 Operation 17 duration 208 mins.
Job 2 Operation 18 duration 207 mins.
Job 3 Operation 18 duration 288 mins.
Job 16 Operation 19 duration 293 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 209 mins.
Job 16 Operation 1 duration 366 mins.
Job 7 Operation 2 duration 408 mins.
Job 6 Operation 3 duration 361 mins.
Job 12 Operation 3 duration 439 mins.
Job 10 Operation 4 duration 307 mins.
Job 18 Operation 4 duration 348 mins.
Job 5 Operation 5 duration 330 mins.
Job 9 Operation 5 duration 100 mins.
Job 15 Operation 5 duration 136 mins.
Job 3 Operation 6 duration 346 mins.
Job 8 Operation 8 duration 36 mins.
Job 11 Operation 11 duration 410 mins.
Job 13 Operation 12 duration 49 mins.
Job 14 Operation 13 duration 255 mins.
Job 1 Operation 15 duration 252 mins.
Job 17 Operation 16 duration 390 mins.
Job 19 Operation 16 duration 261 mins.
Job 4 Operation 18 duration 337 mins.
Job 2 Operation 19 duration 38 mins.
Machine 4 is used for the following Operations:
Job 8 Operation 0 duration 248 mins.
Job 0 Operation 1 duration 120 mins.
Job 3 Operation 1 duration 42 mins.
Job 4 Operation 1 duration 111 mins.
Job 18 Operation 1 duration 395 mins.
Job 9 Operation 3 duration 383 mins.
Job 5 Operation 4 duration 428 mins.
Job 14 Operation 4 duration 281 mins.
Job 11 Operation 6 duration 177 mins.
Job 19 Operation 6 duration 322 mins.
Job 1 Operation 7 duration 75 mins.
Job 2 Operation 8 duration 378 mins.
Job 10 Operation 9 duration 262 mins.
Job 17 Operation 9 duration 223 mins.
Job 13 Operation 11 duration 169 mins.
Job 7 Operation 13 duration 8 mins.
Job 12 Operation 13 duration 151 mins.
Job 16 Operation 14 duration 166 mins.
Job 6 Operation 15 duration 354 mins.
Job 15 Operation 18 duration 232 mins.
Machine 5 is used for the following Operations:
Job 15 Operation 0 duration 39 mins.
Job 19 Operation 1 duration 469 mins.
Job 17 Operation 4 duration 284 mins.
Job 16 Operation 5 duration 196 mins.
Job 4 Operation 6 duration 418 mins.
Job 10 Operation 7 duration 181 mins.
Job 13 Operation 7 duration 165 mins.
Job 11 Operation 9 duration 453 mins.
Job 18 Operation 10 duration 346 mins.
Job 12 Operation 11 duration 318 mins.
Job 3 Operation 13 duration 343 mins.
Job 8 Operation 15 duration 337 mins.
Job 14 Operation 15 duration 433 mins.
Job 2 Operation 16 duration 146 mins.
Job 6 Operation 16 duration 343 mins.
Job 0 Operation 17 duration 252 mins.
Job 1 Operation 17 duration 115 mins.
Job 5 Operation 17 duration 141 mins.
Job 7 Operation 17 duration 393 mins.
Job 9 Operation 19 duration 375 mins.
Machine 6 is used for the following Operations:
Job 12 Operation 0 duration 48 mins.
Job 13 Operation 0 duration 51 mins.
Job 8 Operation 1 duration 477 mins.
Job 19 Operation 2 duration 32 mins.
Job 1 Operation 4 duration 208 mins.
Job 0 Operation 5 duration 20 mins.
Job 17 Operation 5 duration 49 mins.
Job 18 Operation 7 duration 380 mins.
Job 5 Operation 9 duration 147 mins.
Job 3 Operation 10 duration 324 mins.
Job 11 Operation 10 duration 108 mins.
Job 9 Operation 11 duration 236 mins.
Job 6 Operation 12 duration 262 mins.
Job 16 Operation 12 duration 411 mins.
Job 10 Operation 13 duration 9 mins.
Job 2 Operation 15 duration 354 mins.
Job 15 Operation 15 duration 270 mins.
Job 4 Operation 16 duration 176 mins.
Job 14 Operation 16 duration 248 mins.
Job 7 Operation 18 duration 78 mins.
Machine 7 is used for the following Operations:
Job 5 Operation 0 duration 115 mins.
Job 16 Operation 2 duration 399 mins.
Job 7 Operation 4 duration 91 mins.
Job 6 Operation 5 duration 442 mins.
Job 10 Operation 5 duration 273 mins.
Job 12 Operation 5 duration 459 mins.
Job 3 Operation 7 duration 293 mins.
Job 14 Operation 7 duration 289 mins.
Job 17 Operation 7 duration 149 mins.
Job 19 Operation 7 duration 287 mins.
Job 8 Operation 9 duration 79 mins.
Job 0 Operation 10 duration 384 mins.
Job 4 Operation 10 duration 265 mins.
Job 13 Operation 10 duration 88 mins.
Job 2 Operation 11 duration 439 mins.
Job 1 Operation 14 duration 89 mins.
Job 18 Operation 14 duration 186 mins.
Job 9 Operation 16 duration 95 mins.
Job 11 Operation 18 duration 185 mins.
Job 15 Operation 19 duration 165 mins.
Machine 8 is used for the following Operations:
Job 6 Operation 1 duration 300 mins.
Job 14 Operation 1 duration 397 mins.
Job 0 Operation 2 duration 288 mins.
Job 10 Operation 2 duration 166 mins.
Job 3 Operation 3 duration 459 mins.
Job 15 Operation 3 duration 46 mins.
Job 2 Operation 4 duration 403 mins.
Job 1 Operation 5 duration 212 mins.
Job 17 Operation 6 duration 394 mins.
Job 12 Operation 9 duration 388 mins.
Job 7 Operation 11 duration 34 mins.
Job 9 Operation 15 duration 231 mins.
Job 16 Operation 15 duration 215 mins.
Job 4 Operation 17 duration 434 mins.
Job 5 Operation 18 duration 372 mins.
Job 8 Operation 18 duration 149 mins.
Job 11 Operation 19 duration 134 mins.
Job 13 Operation 19 duration 249 mins.
Job 18 Operation 19 duration 238 mins.
Job 19 Operation 19 duration 440 mins.
Machine 9 is used for the following Operations:
Job 18 Operation 2 duration 233 mins.
Job 5 Operation 3 duration 51 mins.
Job 3 Operation 5 duration 268 mins.
Job 19 Operation 5 duration 205 mins.
Job 6 Operation 7 duration 423 mins.
Job 10 Operation 8 duration 163 mins.
Job 17 Operation 8 duration 82 mins.
Job 2 Operation 10 duration 110 mins.
Job 16 Operation 10 duration 173 mins.
Job 4 Operation 13 duration 278 mins.
Job 15 Operation 13 duration 57 mins.
Job 7 Operation 14 duration 61 mins.
Job 11 Operation 15 duration 318 mins.
Job 8 Operation 16 duration 25 mins.
Job 13 Operation 16 duration 304 mins.
Job 9 Operation 18 duration 437 mins.
Job 0 Operation 19 duration 85 mins.
Job 1 Operation 19 duration 164 mins.
Job 12 Operation 19 duration 3 mins.
Job 14 Operation 19 duration 333 mins.
Machine 10 is used for the following Operations:
Job 4 Operation 0 duration 306 mins.
Job 11 Operation 0 duration 279 mins.
Job 5 Operation 1 duration 258 mins.
Job 7 Operation 1 duration 425 mins.
Job 9 Operation 1 duration 62 mins.
Job 13 Operation 1 duration 201 mins.
Job 6 Operation 2 duration 148 mins.
Job 12 Operation 2 duration 442 mins.
Job 14 Operation 2 duration 115 mins.
Job 18 Operation 3 duration 75 mins.
Job 16 Operation 4 duration 217 mins.
Job 2 Operation 7 duration 273 mins.
Job 1 Operation 9 duration 458 mins.
Job 15 Operation 10 duration 152 mins.
Job 10 Operation 11 duration 315 mins.
Job 0 Operation 12 duration 360 mins.
Job 19 Operation 13 duration 138 mins.
Job 3 Operation 14 duration 164 mins.
Job 17 Operation 15 duration 450 mins.
Job 8 Operation 17 duration 97 mins.
Machine 11 is used for the following Operations:
Job 7 Operation 0 duration 155 mins.
Job 16 Operation 0 duration 35 mins.
Job 15 Operation 2 duration 116 mins.
Job 14 Operation 3 duration 350 mins.
Job 19 Operation 3 duration 165 mins.
Job 12 Operation 4 duration 449 mins.
Job 9 Operation 6 duration 235 mins.
Job 11 Operation 8 duration 303 mins.
Job 0 Operation 9 duration 336 mins.
Job 3 Operation 11 duration 84 mins.
Job 8 Operation 11 duration 348 mins.
Job 1 Operation 12 duration 283 mins.
Job 6 Operation 13 duration 237 mins.
Job 18 Operation 13 duration 42 mins.
Job 2 Operation 14 duration 104 mins.
Job 4 Operation 14 duration 282 mins.
Job 5 Operation 14 duration 212 mins.
Job 13 Operation 14 duration 469 mins.
Job 10 Operation 16 duration 461 mins.
Job 17 Operation 17 duration 432 mins.
Machine 12 is used for the following Operations:
Job 3 Operation 0 duration 187 mins.
Job 9 Operation 0 duration 126 mins.
Job 11 Operation 1 duration 161 mins.
Job 2 Operation 2 duration 13 mins.
Job 8 Operation 3 duration 401 mins.
Job 0 Operation 4 duration 477 mins.
Job 15 Operation 4 duration 133 mins.
Job 12 Operation 7 duration 32 mins.
Job 1 Operation 8 duration 425 mins.
Job 6 Operation 8 duration 475 mins.
Job 14 Operation 9 duration 89 mins.
Job 7 Operation 10 duration 74 mins.
Job 10 Operation 10 duration 361 mins.
Job 17 Operation 10 duration 20 mins.
Job 16 Operation 11 duration 267 mins.
Job 19 Operation 11 duration 422 mins.
Job 5 Operation 13 duration 66 mins.
Job 18 Operation 15 duration 453 mins.
Job 13 Operation 17 duration 406 mins.
Job 4 Operation 19 duration 274 mins.
Machine 13 is used for the following Operations:
Job 19 Operation 0 duration 417 mins.
Job 15 Operation 1 duration 199 mins.
Job 17 Operation 1 duration 402 mins.
Job 0 Operation 3 duration 269 mins.
Job 7 Operation 6 duration 13 mins.
Job 18 Operation 8 duration 79 mins.
Job 3 Operation 9 duration 214 mins.
Job 9 Operation 9 duration 78 mins.
Job 1 Operation 11 duration 320 mins.
Job 6 Operation 11 duration 432 mins.
Job 4 Operation 12 duration 339 mins.
Job 2 Operation 13 duration 226 mins.
Job 13 Operation 13 duration 412 mins.
Job 14 Operation 14 duration 140 mins.
Job 5 Operation 15 duration 396 mins.
Job 11 Operation 16 duration 323 mins.
Job 16 Operation 17 duration 85 mins.
Job 10 Operation 18 duration 151 mins.
Job 12 Operation 18 duration 85 mins.
Job 8 Operation 19 duration 184 mins.
Machine 14 is used for the following Operations:
Job 18 Operation 0 duration 181 mins.
Job 4 Operation 2 duration 232 mins.
Job 11 Operation 2 duration 209 mins.
Job 17 Operation 2 duration 471 mins.
Job 10 Operation 3 duration 352 mins.
Job 8 Operation 4 duration 166 mins.
Job 13 Operation 4 duration 434 mins.
Job 16 Operation 6 duration 72 mins.
Job 12 Operation 10 duration 351 mins.
Job 14 Operation 11 duration 263 mins.
Job 9 Operation 12 duration 199 mins.
Job 15 Operation 14 duration 201 mins.
Job 7 Operation 15 duration 348 mins.
Job 19 Operation 15 duration 251 mins.
Job 3 Operation 16 duration 311 mins.
Job 2 Operation 17 duration 53 mins.
Job 0 Operation 18 duration 213 mins.
Job 1 Operation 18 duration 426 mins.
Job 5 Operation 19 duration 276 mins.
Job 6 Operation 19 duration 130 mins.
Machine 15 is used for the following Operations:
Job 6 Operation 0 duration 177 mins.
Job 1 Operation 1 duration 320 mins.
Job 2 Operation 1 duration 122 mins.
Job 8 Operation 2 duration 477 mins.
Job 11 Operation 5 duration 79 mins.
Job 12 Operation 6 duration 350 mins.
Job 5 Operation 8 duration 134 mins.
Job 14 Operation 8 duration 271 mins.
Job 16 Operation 8 duration 376 mins.
Job 4 Operation 11 duration 58 mins.
Job 19 Operation 12 duration 372 mins.
Job 0 Operation 14 duration 416 mins.
Job 9 Operation 14 duration 24 mins.
Job 17 Operation 14 duration 467 mins.
Job 3 Operation 15 duration 45 mins.
Job 7 Operation 16 duration 274 mins.
Job 15 Operation 17 duration 56 mins.
Job 18 Operation 17 duration 349 mins.
Job 13 Operation 18 duration 248 mins.
Job 10 Operation 19 duration 299 mins.
Machine 16 is used for the following Operations:
Job 10 Operation 1 duration 61 mins.
Job 3 Operation 4 duration 303 mins.
Job 6 Operation 4 duration 371 mins.
Job 11 Operation 4 duration 173 mins.
Job 8 Operation 5 duration 313 mins.
Job 13 Operation 5 duration 476 mins.
Job 2 Operation 6 duration 467 mins.
Job 4 Operation 7 duration 135 mins.
Job 9 Operation 8 duration 321 mins.
Job 5 Operation 11 duration 74 mins.
Job 15 Operation 11 duration 146 mins.
Job 14 Operation 12 duration 424 mins.
Job 1 Operation 13 duration 145 mins.
Job 19 Operation 14 duration 37 mins.
Job 0 Operation 16 duration 194 mins.
Job 16 Operation 16 duration 35 mins.
Job 12 Operation 17 duration 322 mins.
Job 17 Operation 18 duration 305 mins.
Job 18 Operation 18 duration 444 mins.
Job 7 Operation 19 duration 261 mins.
Machine 17 is used for the following Operations:
Job 12 Operation 1 duration 328 mins.
Job 5 Operation 2 duration 211 mins.
Job 13 Operation 2 duration 212 mins.
Job 9 Operation 4 duration 174 mins.
Job 18 Operation 6 duration 127 mins.
Job 11 Operation 7 duration 107 mins.
Job 16 Operation 7 duration 222 mins.
Job 3 Operation 8 duration 376 mins.
Job 7 Operation 8 duration 468 mins.
Job 4 Operation 9 duration 459 mins.
Job 15 Operation 9 duration 152 mins.
Job 6 Operation 10 duration 453 mins.
Job 2 Operation 12 duration 219 mins.
Job 10 Operation 12 duration 137 mins.
Job 17 Operation 13 duration 318 mins.
Job 8 Operation 14 duration 477 mins.
Job 0 Operation 15 duration 390 mins.
Job 1 Operation 16 duration 97 mins.
Job 14 Operation 18 duration 341 mins.
Job 19 Operation 18 duration 136 mins.
Machine 18 is used for the following Operations:
Job 1 Operation 2 duration 224 mins.
Job 3 Operation 2 duration 12 mins.
Job 9 Operation 2 duration 283 mins.
Job 4 Operation 3 duration 399 mins.
Job 19 Operation 4 duration 358 mins.
Job 7 Operation 5 duration 323 mins.
Job 14 Operation 5 duration 390 mins.
Job 10 Operation 6 duration 362 mins.
Job 8 Operation 7 duration 9 mins.
Job 15 Operation 8 duration 318 mins.
Job 2 Operation 9 duration 180 mins.
Job 13 Operation 9 duration 62 mins.
Job 16 Operation 9 duration 267 mins.
Job 5 Operation 10 duration 466 mins.
Job 18 Operation 11 duration 149 mins.
Job 17 Operation 12 duration 19 mins.
Job 0 Operation 13 duration 256 mins.
Job 6 Operation 14 duration 384 mins.
Job 11 Operation 14 duration 24 mins.
Job 12 Operation 15 duration 332 mins.
Machine 19 is used for the following Operations:
Job 10 Operation 0 duration 431 mins.
Job 14 Operation 0 duration 465 mins.
Job 2 Operation 3 duration 370 mins.
Job 7 Operation 3 duration 208 mins.
Job 11 Operation 3 duration 1 mins.
Job 13 Operation 3 duration 233 mins.
Job 4 Operation 4 duration 105 mins.
Job 0 Operation 6 duration 423 mins.
Job 8 Operation 6 duration 95 mins.
Job 15 Operation 6 duration 192 mins.
Job 5 Operation 7 duration 238 mins.
Job 6 Operation 9 duration 347 mins.
Job 1 Operation 10 duration 429 mins.
Job 18 Operation 12 duration 303 mins.
Job 9 Operation 13 duration 59 mins.
Job 12 Operation 16 duration 101 mins.
Job 3 Operation 17 duration 29 mins.
Job 19 Operation 17 duration 475 mins.
Job 16 Operation 18 duration 425 mins.
Job 17 Operation 19 duration 331 mins.
| null |
Solution:
Job 17 Operation 0 on Machine 0 : 0 + 405 -> 405
Job 2 Operation 0 on Machine 1 : 0 + 112 -> 112
Job 1 Operation 0 on Machine 2 : 0 + 230 -> 230
Job 8 Operation 0 on Machine 4 : 0 + 248 -> 248
Job 15 Operation 0 on Machine 5 : 0 + 39 -> 39
Job 13 Operation 0 on Machine 6 : 0 + 51 -> 51
Job 5 Operation 0 on Machine 7 : 0 + 115 -> 115
Job 16 Operation 0 on Machine 11 : 0 + 35 -> 35
Job 9 Operation 0 on Machine 12 : 0 + 126 -> 126
Job 19 Operation 0 on Machine 13 : 0 + 417 -> 417
Job 18 Operation 0 on Machine 14 : 0 + 181 -> 181
Job 6 Operation 0 on Machine 15 : 0 + 177 -> 177
Job 10 Operation 0 on Machine 19 : 0 + 431 -> 431
Job 16 Operation 1 on Machine 3 : 35 + 366 -> 401
Job 7 Operation 0 on Machine 11 : 35 + 155 -> 190
Job 12 Operation 0 on Machine 6 : 51 + 48 -> 99
Job 13 Operation 1 on Machine 10 : 51 + 201 -> 252
Job 3 Operation 0 on Machine 12 : 126 + 187 -> 313
Job 6 Operation 1 on Machine 8 : 177 + 300 -> 477
Job 1 Operation 1 on Machine 15 : 230 + 320 -> 550
Job 18 Operation 1 on Machine 4 : 248 + 395 -> 643
Job 8 Operation 1 on Machine 6 : 248 + 477 -> 725
Job 9 Operation 1 on Machine 10 : 252 + 62 -> 314
Job 13 Operation 2 on Machine 17 : 252 + 212 -> 464
Job 9 Operation 2 on Machine 18 : 314 + 283 -> 597
Job 0 Operation 0 on Machine 3 : 401 + 209 -> 610
Job 16 Operation 2 on Machine 7 : 401 + 399 -> 800
Job 19 Operation 1 on Machine 5 : 417 + 469 -> 886
Job 15 Operation 1 on Machine 13 : 417 + 199 -> 616
Job 10 Operation 1 on Machine 16 : 431 + 61 -> 492
Job 12 Operation 1 on Machine 17 : 464 + 328 -> 792
Job 13 Operation 3 on Machine 19 : 464 + 233 -> 697
Job 6 Operation 2 on Machine 10 : 477 + 148 -> 625
Job 10 Operation 2 on Machine 8 : 492 + 166 -> 658
Job 2 Operation 1 on Machine 15 : 550 + 122 -> 672
Job 1 Operation 2 on Machine 18 : 597 + 224 -> 821
Job 15 Operation 2 on Machine 11 : 616 + 116 -> 732
Job 17 Operation 1 on Machine 13 : 616 + 402 -> 1018
Job 6 Operation 3 on Machine 3 : 625 + 361 -> 986
Job 5 Operation 1 on Machine 10 : 625 + 258 -> 883
Job 0 Operation 1 on Machine 4 : 643 + 120 -> 763
Job 18 Operation 2 on Machine 9 : 643 + 233 -> 876
Job 2 Operation 2 on Machine 12 : 672 + 13 -> 685
Job 13 Operation 4 on Machine 14 : 697 + 434 -> 1131
Job 14 Operation 0 on Machine 19 : 697 + 465 -> 1162
Job 8 Operation 2 on Machine 15 : 725 + 477 -> 1202
Job 15 Operation 3 on Machine 8 : 732 + 46 -> 778
Job 9 Operation 3 on Machine 4 : 763 + 383 -> 1146
Job 0 Operation 2 on Machine 8 : 778 + 288 -> 1066
Job 15 Operation 4 on Machine 12 : 778 + 133 -> 911
Job 16 Operation 3 on Machine 0 : 800 + 167 -> 967
Job 18 Operation 3 on Machine 10 : 883 + 75 -> 958
Job 5 Operation 2 on Machine 17 : 883 + 211 -> 1094
Job 19 Operation 2 on Machine 6 : 886 + 32 -> 918
Job 19 Operation 3 on Machine 11 : 918 + 165 -> 1083
Job 11 Operation 0 on Machine 10 : 958 + 279 -> 1237
Job 1 Operation 3 on Machine 0 : 967 + 421 -> 1388
Job 15 Operation 5 on Machine 3 : 986 + 136 -> 1122
Job 6 Operation 4 on Machine 16 : 986 + 371 -> 1357
Job 0 Operation 3 on Machine 13 : 1066 + 269 -> 1335
Job 19 Operation 4 on Machine 18 : 1083 + 358 -> 1441
Job 5 Operation 3 on Machine 9 : 1094 + 51 -> 1145
Job 18 Operation 4 on Machine 3 : 1122 + 348 -> 1470
Job 10 Operation 3 on Machine 14 : 1131 + 352 -> 1483
Job 3 Operation 1 on Machine 4 : 1146 + 42 -> 1188
Job 9 Operation 4 on Machine 17 : 1146 + 174 -> 1320
Job 14 Operation 1 on Machine 8 : 1162 + 397 -> 1559
Job 15 Operation 6 on Machine 19 : 1162 + 192 -> 1354
Job 5 Operation 4 on Machine 4 : 1188 + 428 -> 1616
Job 8 Operation 3 on Machine 12 : 1202 + 401 -> 1603
Job 16 Operation 4 on Machine 10 : 1237 + 217 -> 1454
Job 2 Operation 3 on Machine 19 : 1354 + 370 -> 1724
Job 6 Operation 5 on Machine 7 : 1357 + 442 -> 1799
Job 13 Operation 5 on Machine 16 : 1357 + 476 -> 1833
Job 15 Operation 7 on Machine 0 : 1388 + 28 -> 1416
Job 1 Operation 4 on Machine 6 : 1388 + 208 -> 1596
Job 19 Operation 5 on Machine 9 : 1441 + 205 -> 1646
Job 3 Operation 2 on Machine 18 : 1441 + 12 -> 1453
Job 15 Operation 8 on Machine 18 : 1453 + 318 -> 1771
Job 16 Operation 5 on Machine 5 : 1454 + 196 -> 1650
Job 18 Operation 5 on Machine 0 : 1470 + 460 -> 1930
Job 10 Operation 4 on Machine 3 : 1483 + 307 -> 1790
Job 14 Operation 2 on Machine 10 : 1559 + 115 -> 1674
Job 1 Operation 5 on Machine 8 : 1596 + 212 -> 1808
Job 0 Operation 4 on Machine 12 : 1603 + 477 -> 2080
Job 8 Operation 4 on Machine 14 : 1603 + 166 -> 1769
Job 19 Operation 6 on Machine 4 : 1646 + 322 -> 1968
Job 4 Operation 0 on Machine 10 : 1674 + 306 -> 1980
Job 14 Operation 3 on Machine 11 : 1674 + 350 -> 2024
Job 16 Operation 6 on Machine 14 : 1769 + 72 -> 1841
Job 15 Operation 9 on Machine 17 : 1771 + 152 -> 1923
Job 5 Operation 5 on Machine 3 : 1790 + 330 -> 2120
Job 6 Operation 6 on Machine 1 : 1799 + 267 -> 2066
Job 10 Operation 5 on Machine 7 : 1799 + 273 -> 2072
Job 3 Operation 3 on Machine 8 : 1808 + 459 -> 2267
Job 13 Operation 6 on Machine 2 : 1833 + 180 -> 2013
Job 8 Operation 5 on Machine 16 : 1833 + 313 -> 2146
Job 17 Operation 2 on Machine 14 : 1841 + 471 -> 2312
Job 16 Operation 7 on Machine 17 : 1923 + 222 -> 2145
Job 15 Operation 10 on Machine 10 : 1980 + 152 -> 2132
Job 13 Operation 7 on Machine 5 : 2013 + 165 -> 2178
Job 14 Operation 4 on Machine 4 : 2024 + 281 -> 2305
Job 1 Operation 6 on Machine 1 : 2066 + 223 -> 2289
Job 6 Operation 7 on Machine 9 : 2066 + 423 -> 2489
Job 19 Operation 7 on Machine 7 : 2072 + 287 -> 2359
Job 10 Operation 6 on Machine 18 : 2072 + 362 -> 2434
Job 0 Operation 5 on Machine 6 : 2080 + 20 -> 2100
Job 11 Operation 1 on Machine 12 : 2080 + 161 -> 2241
Job 5 Operation 6 on Machine 0 : 2120 + 294 -> 2414
Job 9 Operation 5 on Machine 3 : 2120 + 100 -> 2220
Job 7 Operation 1 on Machine 10 : 2132 + 425 -> 2557
Job 16 Operation 8 on Machine 15 : 2145 + 376 -> 2521
Job 18 Operation 6 on Machine 17 : 2145 + 127 -> 2272
Job 15 Operation 11 on Machine 16 : 2146 + 146 -> 2292
Job 8 Operation 6 on Machine 19 : 2146 + 95 -> 2241
Job 9 Operation 6 on Machine 11 : 2220 + 235 -> 2455
Job 2 Operation 4 on Machine 8 : 2267 + 403 -> 2670
Job 18 Operation 7 on Machine 6 : 2272 + 380 -> 2652
Job 13 Operation 8 on Machine 1 : 2289 + 63 -> 2352
Job 3 Operation 4 on Machine 16 : 2292 + 303 -> 2595
Job 1 Operation 7 on Machine 4 : 2305 + 75 -> 2380
Job 11 Operation 2 on Machine 14 : 2312 + 209 -> 2521
Job 17 Operation 3 on Machine 1 : 2352 + 299 -> 2651
Job 19 Operation 8 on Machine 2 : 2359 + 216 -> 2575
Job 4 Operation 1 on Machine 4 : 2380 + 111 -> 2491
Job 5 Operation 7 on Machine 19 : 2414 + 238 -> 2652
Job 10 Operation 7 on Machine 5 : 2434 + 181 -> 2615
Job 8 Operation 7 on Machine 18 : 2434 + 9 -> 2443
Job 8 Operation 8 on Machine 3 : 2443 + 36 -> 2479
Job 13 Operation 9 on Machine 18 : 2443 + 62 -> 2505
Job 8 Operation 9 on Machine 7 : 2479 + 79 -> 2558
Job 6 Operation 8 on Machine 12 : 2489 + 475 -> 2964
Job 14 Operation 5 on Machine 18 : 2505 + 390 -> 2895
Job 12 Operation 2 on Machine 10 : 2557 + 442 -> 2999
Job 8 Operation 10 on Machine 0 : 2558 + 289 -> 2847
Job 13 Operation 10 on Machine 7 : 2558 + 88 -> 2646
Job 10 Operation 8 on Machine 9 : 2615 + 163 -> 2778
Job 13 Operation 11 on Machine 4 : 2646 + 169 -> 2815
Job 15 Operation 12 on Machine 1 : 2651 + 235 -> 2886
Job 17 Operation 4 on Machine 5 : 2651 + 284 -> 2935
Job 18 Operation 8 on Machine 13 : 2652 + 79 -> 2731
Job 5 Operation 8 on Machine 15 : 2652 + 134 -> 2786
Job 11 Operation 3 on Machine 19 : 2652 + 1 -> 2653
Job 11 Operation 4 on Machine 16 : 2653 + 173 -> 2826
Job 5 Operation 9 on Machine 6 : 2786 + 147 -> 2933
Job 13 Operation 12 on Machine 3 : 2815 + 49 -> 2864
Job 11 Operation 5 on Machine 15 : 2826 + 79 -> 2905
Job 2 Operation 5 on Machine 0 : 2847 + 74 -> 2921
Job 8 Operation 11 on Machine 11 : 2847 + 348 -> 3195
Job 7 Operation 2 on Machine 3 : 2864 + 408 -> 3272
Job 13 Operation 13 on Machine 13 : 2864 + 412 -> 3276
Job 18 Operation 9 on Machine 1 : 2886 + 243 -> 3129
Job 15 Operation 13 on Machine 9 : 2886 + 57 -> 2943
Job 14 Operation 6 on Machine 2 : 2895 + 208 -> 3103
Job 11 Operation 6 on Machine 4 : 2905 + 177 -> 3082
Job 19 Operation 9 on Machine 0 : 2921 + 321 -> 3242
Job 2 Operation 6 on Machine 16 : 2921 + 467 -> 3388
Job 5 Operation 10 on Machine 18 : 2933 + 466 -> 3399
Job 17 Operation 5 on Machine 6 : 2935 + 49 -> 2984
Job 3 Operation 5 on Machine 9 : 2943 + 268 -> 3211
Job 15 Operation 14 on Machine 14 : 2943 + 201 -> 3144
Job 1 Operation 8 on Machine 12 : 2964 + 425 -> 3389
Job 6 Operation 9 on Machine 19 : 2964 + 347 -> 3311
Job 17 Operation 6 on Machine 8 : 2984 + 394 -> 3378
Job 10 Operation 9 on Machine 4 : 3082 + 262 -> 3344
Job 11 Operation 7 on Machine 17 : 3082 + 107 -> 3189
Job 18 Operation 10 on Machine 5 : 3129 + 346 -> 3475
Job 15 Operation 15 on Machine 6 : 3144 + 270 -> 3414
Job 4 Operation 2 on Machine 14 : 3144 + 232 -> 3376
Job 8 Operation 12 on Machine 2 : 3195 + 262 -> 3457
Job 9 Operation 7 on Machine 0 : 3242 + 338 -> 3580
Job 12 Operation 3 on Machine 3 : 3272 + 439 -> 3711
Job 13 Operation 14 on Machine 11 : 3276 + 469 -> 3745
Job 6 Operation 10 on Machine 17 : 3311 + 453 -> 3764
Job 0 Operation 6 on Machine 19 : 3311 + 423 -> 3734
Job 17 Operation 7 on Machine 7 : 3378 + 149 -> 3527
Job 1 Operation 9 on Machine 10 : 3389 + 458 -> 3847
Job 10 Operation 10 on Machine 12 : 3389 + 361 -> 3750
Job 5 Operation 11 on Machine 16 : 3399 + 74 -> 3473
Job 4 Operation 3 on Machine 18 : 3399 + 399 -> 3798
Job 8 Operation 13 on Machine 1 : 3457 + 370 -> 3827
Job 5 Operation 12 on Machine 2 : 3473 + 317 -> 3790
Job 14 Operation 7 on Machine 7 : 3527 + 289 -> 3816
Job 17 Operation 8 on Machine 9 : 3527 + 82 -> 3609
Job 9 Operation 8 on Machine 16 : 3580 + 321 -> 3901
Job 17 Operation 9 on Machine 4 : 3609 + 223 -> 3832
Job 3 Operation 6 on Machine 3 : 3711 + 346 -> 4057
Job 13 Operation 15 on Machine 0 : 3745 + 127 -> 3872
Job 11 Operation 8 on Machine 11 : 3745 + 303 -> 4048
Job 6 Operation 11 on Machine 13 : 3764 + 432 -> 4196
Job 18 Operation 11 on Machine 18 : 3798 + 149 -> 3947
Job 4 Operation 4 on Machine 19 : 3798 + 105 -> 3903
Job 14 Operation 8 on Machine 15 : 3816 + 271 -> 4087
Job 19 Operation 10 on Machine 1 : 3827 + 364 -> 4191
Job 8 Operation 14 on Machine 17 : 3827 + 477 -> 4304
Job 17 Operation 10 on Machine 12 : 3832 + 20 -> 3852
Job 2 Operation 7 on Machine 10 : 3847 + 273 -> 4120
Job 17 Operation 11 on Machine 2 : 3852 + 422 -> 4274
Job 5 Operation 13 on Machine 12 : 3852 + 66 -> 3918
Job 0 Operation 7 on Machine 0 : 3872 + 399 -> 4271
Job 13 Operation 16 on Machine 9 : 3872 + 304 -> 4176
Job 7 Operation 3 on Machine 19 : 3903 + 208 -> 4111
Job 16 Operation 9 on Machine 18 : 3947 + 267 -> 4214
Job 5 Operation 14 on Machine 11 : 4048 + 212 -> 4260
Job 14 Operation 9 on Machine 12 : 4087 + 89 -> 4176
Job 7 Operation 4 on Machine 7 : 4111 + 91 -> 4202
Job 18 Operation 12 on Machine 19 : 4111 + 303 -> 4414
Job 2 Operation 8 on Machine 4 : 4120 + 378 -> 4498
Job 10 Operation 11 on Machine 10 : 4120 + 315 -> 4435
Job 13 Operation 17 on Machine 12 : 4176 + 406 -> 4582
Job 14 Operation 10 on Machine 1 : 4191 + 366 -> 4557
Job 6 Operation 12 on Machine 6 : 4196 + 262 -> 4458
Job 9 Operation 9 on Machine 13 : 4196 + 78 -> 4274
Job 3 Operation 7 on Machine 7 : 4202 + 293 -> 4495
Job 15 Operation 16 on Machine 2 : 4274 + 145 -> 4419
Job 5 Operation 15 on Machine 13 : 4274 + 396 -> 4670
Job 17 Operation 12 on Machine 18 : 4274 + 19 -> 4293
Job 7 Operation 5 on Machine 18 : 4293 + 323 -> 4616
Job 8 Operation 15 on Machine 5 : 4304 + 337 -> 4641
Job 17 Operation 13 on Machine 17 : 4304 + 318 -> 4622
Job 18 Operation 13 on Machine 11 : 4414 + 42 -> 4456
Job 1 Operation 10 on Machine 19 : 4414 + 429 -> 4843
Job 4 Operation 5 on Machine 2 : 4419 + 173 -> 4592
Job 15 Operation 17 on Machine 15 : 4419 + 56 -> 4475
Job 6 Operation 13 on Machine 11 : 4458 + 237 -> 4695
Job 18 Operation 14 on Machine 7 : 4495 + 186 -> 4681
Job 15 Operation 18 on Machine 4 : 4498 + 232 -> 4730
Job 14 Operation 11 on Machine 14 : 4557 + 263 -> 4820
Job 19 Operation 11 on Machine 12 : 4582 + 422 -> 5004
Job 17 Operation 14 on Machine 15 : 4622 + 467 -> 5089
Job 10 Operation 12 on Machine 17 : 4622 + 137 -> 4759
Job 4 Operation 6 on Machine 5 : 4641 + 418 -> 5059
Job 8 Operation 16 on Machine 9 : 4641 + 25 -> 4666
Job 16 Operation 10 on Machine 9 : 4666 + 173 -> 4839
Job 8 Operation 17 on Machine 10 : 4666 + 97 -> 4763
Job 7 Operation 6 on Machine 13 : 4670 + 13 -> 4683
Job 7 Operation 7 on Machine 1 : 4683 + 44 -> 4727
Job 12 Operation 4 on Machine 11 : 4695 + 449 -> 5144
Job 6 Operation 14 on Machine 18 : 4695 + 384 -> 5079
Job 9 Operation 10 on Machine 1 : 4727 + 323 -> 5050
Job 10 Operation 13 on Machine 6 : 4759 + 9 -> 4768
Job 7 Operation 8 on Machine 17 : 4759 + 468 -> 5227
Job 8 Operation 18 on Machine 8 : 4763 + 149 -> 4912
Job 10 Operation 14 on Machine 2 : 4768 + 75 -> 4843
Job 14 Operation 12 on Machine 16 : 4820 + 424 -> 5244
Job 0 Operation 8 on Machine 2 : 4843 + 411 -> 5254
Job 8 Operation 19 on Machine 13 : 4912 + 184 -> 5096
Job 18 Operation 15 on Machine 12 : 5004 + 453 -> 5457
Job 5 Operation 16 on Machine 1 : 5050 + 200 -> 5250
Job 9 Operation 11 on Machine 6 : 5050 + 236 -> 5286
Job 6 Operation 15 on Machine 4 : 5079 + 354 -> 5433
Job 2 Operation 9 on Machine 18 : 5079 + 180 -> 5259
Job 17 Operation 15 on Machine 10 : 5089 + 450 -> 5539
Job 19 Operation 12 on Machine 15 : 5089 + 372 -> 5461
Job 1 Operation 11 on Machine 13 : 5096 + 320 -> 5416
Job 12 Operation 5 on Machine 7 : 5144 + 459 -> 5603
Job 3 Operation 8 on Machine 17 : 5227 + 376 -> 5603
Job 14 Operation 13 on Machine 3 : 5244 + 255 -> 5499
Job 4 Operation 7 on Machine 16 : 5244 + 135 -> 5379
Job 5 Operation 17 on Machine 5 : 5250 + 141 -> 5391
Job 7 Operation 9 on Machine 2 : 5254 + 295 -> 5549
Job 0 Operation 9 on Machine 11 : 5254 + 336 -> 5590
Job 2 Operation 10 on Machine 9 : 5259 + 110 -> 5369
Job 4 Operation 8 on Machine 1 : 5379 + 401 -> 5780
Job 11 Operation 9 on Machine 5 : 5391 + 453 -> 5844
Job 5 Operation 18 on Machine 8 : 5391 + 372 -> 5763
Job 16 Operation 11 on Machine 12 : 5457 + 267 -> 5724
Job 17 Operation 16 on Machine 3 : 5539 + 390 -> 5929
Job 19 Operation 13 on Machine 10 : 5539 + 138 -> 5677
Job 18 Operation 16 on Machine 2 : 5549 + 270 -> 5819
Job 1 Operation 12 on Machine 11 : 5590 + 283 -> 5873
Job 0 Operation 10 on Machine 7 : 5603 + 384 -> 5987
Job 3 Operation 9 on Machine 13 : 5603 + 214 -> 5817
Job 12 Operation 6 on Machine 15 : 5603 + 350 -> 5953
Job 19 Operation 14 on Machine 16 : 5677 + 37 -> 5714
Job 19 Operation 15 on Machine 14 : 5714 + 251 -> 5965
Job 7 Operation 10 on Machine 12 : 5724 + 74 -> 5798
Job 10 Operation 15 on Machine 1 : 5780 + 412 -> 6192
Job 4 Operation 9 on Machine 17 : 5780 + 459 -> 6239
Job 7 Operation 11 on Machine 8 : 5798 + 34 -> 5832
Job 14 Operation 14 on Machine 13 : 5817 + 140 -> 5957
Job 7 Operation 12 on Machine 0 : 5832 + 470 -> 6302
Job 6 Operation 16 on Machine 5 : 5844 + 343 -> 6187
Job 11 Operation 10 on Machine 6 : 5844 + 108 -> 5952
Job 1 Operation 13 on Machine 16 : 5873 + 145 -> 6018
Job 17 Operation 17 on Machine 11 : 5929 + 432 -> 6361
Job 11 Operation 11 on Machine 3 : 5952 + 410 -> 6362
Job 3 Operation 10 on Machine 6 : 5952 + 324 -> 6276
Job 12 Operation 7 on Machine 12 : 5953 + 32 -> 5985
Job 13 Operation 18 on Machine 15 : 5953 + 248 -> 6201
Job 9 Operation 12 on Machine 14 : 5965 + 199 -> 6164
Job 12 Operation 8 on Machine 2 : 5985 + 224 -> 6209
Job 5 Operation 19 on Machine 14 : 6164 + 276 -> 6440
Job 9 Operation 13 on Machine 19 : 6164 + 59 -> 6223
Job 14 Operation 15 on Machine 5 : 6187 + 433 -> 6620
Job 0 Operation 11 on Machine 1 : 6192 + 139 -> 6331
Job 6 Operation 17 on Machine 2 : 6209 + 272 -> 6481
Job 12 Operation 9 on Machine 8 : 6209 + 388 -> 6597
Job 4 Operation 10 on Machine 7 : 6239 + 265 -> 6504
Job 16 Operation 12 on Machine 6 : 6276 + 411 -> 6687
Job 7 Operation 13 on Machine 4 : 6302 + 8 -> 6310
Job 7 Operation 14 on Machine 9 : 6310 + 61 -> 6371
Job 0 Operation 12 on Machine 10 : 6331 + 360 -> 6691
Job 3 Operation 11 on Machine 11 : 6361 + 84 -> 6445
Job 17 Operation 18 on Machine 16 : 6361 + 305 -> 6666
Job 19 Operation 16 on Machine 3 : 6362 + 261 -> 6623
Job 10 Operation 16 on Machine 11 : 6445 + 461 -> 6906
Job 6 Operation 18 on Machine 0 : 6481 + 35 -> 6516
Job 11 Operation 12 on Machine 2 : 6481 + 184 -> 6665
Job 1 Operation 14 on Machine 7 : 6504 + 89 -> 6593
Job 4 Operation 11 on Machine 15 : 6504 + 58 -> 6562
Job 3 Operation 12 on Machine 0 : 6516 + 314 -> 6830
Job 4 Operation 12 on Machine 13 : 6562 + 339 -> 6901
Job 9 Operation 14 on Machine 15 : 6562 + 24 -> 6586
Job 18 Operation 17 on Machine 15 : 6586 + 349 -> 6935
Job 2 Operation 11 on Machine 7 : 6593 + 439 -> 7032
Job 13 Operation 19 on Machine 8 : 6597 + 249 -> 6846
Job 12 Operation 10 on Machine 14 : 6597 + 351 -> 6948
Job 1 Operation 15 on Machine 3 : 6623 + 252 -> 6875
Job 17 Operation 19 on Machine 19 : 6666 + 331 -> 6997
Job 16 Operation 13 on Machine 1 : 6687 + 402 -> 7089
Job 14 Operation 16 on Machine 6 : 6687 + 248 -> 6935
Job 0 Operation 13 on Machine 18 : 6691 + 256 -> 6947
Job 9 Operation 15 on Machine 8 : 6846 + 231 -> 7077
Job 1 Operation 16 on Machine 17 : 6875 + 97 -> 6972
Job 4 Operation 13 on Machine 9 : 6901 + 278 -> 7179
Job 14 Operation 17 on Machine 0 : 6935 + 378 -> 7313
Job 18 Operation 18 on Machine 16 : 6935 + 444 -> 7379
Job 0 Operation 14 on Machine 15 : 6947 + 416 -> 7363
Job 12 Operation 11 on Machine 5 : 6948 + 318 -> 7266
Job 7 Operation 15 on Machine 14 : 6948 + 348 -> 7296
Job 19 Operation 17 on Machine 19 : 6997 + 475 -> 7472
Job 2 Operation 12 on Machine 17 : 7032 + 219 -> 7251
Job 9 Operation 16 on Machine 7 : 7077 + 95 -> 7172
Job 11 Operation 13 on Machine 1 : 7089 + 240 -> 7329
Job 16 Operation 14 on Machine 4 : 7089 + 166 -> 7255
Job 9 Operation 17 on Machine 2 : 7172 + 208 -> 7380
Job 15 Operation 19 on Machine 7 : 7172 + 165 -> 7337
Job 4 Operation 14 on Machine 11 : 7179 + 282 -> 7461
Job 16 Operation 15 on Machine 8 : 7255 + 215 -> 7470
Job 1 Operation 17 on Machine 5 : 7266 + 115 -> 7381
Job 6 Operation 19 on Machine 14 : 7296 + 130 -> 7426
Job 12 Operation 12 on Machine 1 : 7329 + 126 -> 7455
Job 11 Operation 14 on Machine 18 : 7329 + 24 -> 7353
Job 11 Operation 15 on Machine 9 : 7353 + 318 -> 7671
Job 7 Operation 16 on Machine 15 : 7363 + 274 -> 7637
Job 3 Operation 13 on Machine 5 : 7381 + 343 -> 7724
Job 1 Operation 18 on Machine 14 : 7426 + 426 -> 7852
Job 12 Operation 13 on Machine 4 : 7455 + 151 -> 7606
Job 4 Operation 15 on Machine 0 : 7461 + 317 -> 7778
Job 18 Operation 19 on Machine 8 : 7470 + 238 -> 7708
Job 16 Operation 16 on Machine 16 : 7470 + 35 -> 7505
Job 19 Operation 18 on Machine 17 : 7472 + 136 -> 7608
Job 16 Operation 17 on Machine 13 : 7505 + 85 -> 7590
Job 2 Operation 13 on Machine 13 : 7590 + 226 -> 7816
Job 16 Operation 18 on Machine 19 : 7590 + 425 -> 8015
Job 0 Operation 15 on Machine 17 : 7608 + 390 -> 7998
Job 9 Operation 18 on Machine 9 : 7671 + 437 -> 8108
Job 7 Operation 17 on Machine 5 : 7724 + 393 -> 8117
Job 3 Operation 14 on Machine 10 : 7724 + 164 -> 7888
Job 12 Operation 14 on Machine 0 : 7778 + 51 -> 7829
Job 4 Operation 16 on Machine 6 : 7778 + 176 -> 7954
Job 2 Operation 14 on Machine 11 : 7816 + 104 -> 7920
Job 11 Operation 16 on Machine 13 : 7816 + 323 -> 8139
Job 10 Operation 17 on Machine 0 : 7829 + 80 -> 7909
Job 12 Operation 15 on Machine 18 : 7829 + 332 -> 8161
Job 3 Operation 15 on Machine 15 : 7888 + 45 -> 7933
Job 3 Operation 16 on Machine 14 : 7933 + 311 -> 8244
Job 2 Operation 15 on Machine 6 : 7954 + 354 -> 8308
Job 4 Operation 17 on Machine 8 : 7954 + 434 -> 8388
Job 0 Operation 16 on Machine 16 : 7998 + 194 -> 8192
Job 14 Operation 18 on Machine 17 : 7998 + 341 -> 8339
Job 16 Operation 19 on Machine 2 : 8015 + 293 -> 8308
Job 11 Operation 17 on Machine 0 : 8139 + 57 -> 8196
Job 10 Operation 18 on Machine 13 : 8139 + 151 -> 8290
Job 12 Operation 16 on Machine 19 : 8161 + 101 -> 8262
Job 0 Operation 17 on Machine 5 : 8192 + 252 -> 8444
Job 11 Operation 18 on Machine 7 : 8196 + 185 -> 8381
Job 12 Operation 17 on Machine 16 : 8262 + 322 -> 8584
Job 3 Operation 17 on Machine 19 : 8262 + 29 -> 8291
Job 10 Operation 19 on Machine 15 : 8290 + 299 -> 8589
Job 3 Operation 18 on Machine 2 : 8308 + 288 -> 8596
Job 7 Operation 18 on Machine 6 : 8308 + 78 -> 8386
Job 14 Operation 19 on Machine 9 : 8339 + 333 -> 8672
Job 4 Operation 18 on Machine 3 : 8388 + 337 -> 8725
Job 19 Operation 19 on Machine 8 : 8388 + 440 -> 8828
Job 2 Operation 16 on Machine 5 : 8444 + 146 -> 8590
Job 12 Operation 18 on Machine 13 : 8584 + 85 -> 8669
Job 7 Operation 19 on Machine 16 : 8584 + 261 -> 8845
Job 9 Operation 19 on Machine 5 : 8590 + 375 -> 8965
Job 2 Operation 17 on Machine 14 : 8590 + 53 -> 8643
Job 3 Operation 19 on Machine 1 : 8596 + 192 -> 8788
Job 2 Operation 18 on Machine 2 : 8643 + 207 -> 8850
Job 0 Operation 18 on Machine 14 : 8643 + 213 -> 8856
Job 1 Operation 19 on Machine 9 : 8672 + 164 -> 8836
Job 4 Operation 19 on Machine 12 : 8725 + 274 -> 8999
Job 11 Operation 19 on Machine 8 : 8828 + 134 -> 8962
Job 2 Operation 19 on Machine 3 : 8850 + 38 -> 8888
Job 0 Operation 19 on Machine 9 : 8856 + 85 -> 8941
Job 12 Operation 19 on Machine 9 : 8941 + 3 -> 8944
Makespan: 8999.0, as it is the maximum end completion time of Operation 19
| null |
|
9 | 9 |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 38 mins.
Operation 1 on Machine 4 duration 111 mins.
Operation 2 on Machine 2 duration 8 mins.
Operation 3 on Machine 3 duration 19 mins.
Operation 4 on Machine 6 duration 118 mins.
Operation 5 on Machine 0 duration 84 mins.
Operation 6 on Machine 7 duration 87 mins.
Operation 7 on Machine 8 duration 62 mins.
Operation 8 on Machine 1 duration 40 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 115 mins.
Operation 1 on Machine 5 duration 71 mins.
Operation 2 on Machine 4 duration 76 mins.
Operation 3 on Machine 1 duration 136 mins.
Operation 4 on Machine 6 duration 127 mins.
Operation 5 on Machine 3 duration 111 mins.
Operation 6 on Machine 8 duration 53 mins.
Operation 7 on Machine 2 duration 97 mins.
Operation 8 on Machine 0 duration 114 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 8 duration 89 mins.
Operation 1 on Machine 5 duration 104 mins.
Operation 2 on Machine 7 duration 131 mins.
Operation 3 on Machine 0 duration 82 mins.
Operation 4 on Machine 2 duration 57 mins.
Operation 5 on Machine 3 duration 110 mins.
Operation 6 on Machine 1 duration 37 mins.
Operation 7 on Machine 6 duration 117 mins.
Operation 8 on Machine 4 duration 123 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 136 mins.
Operation 1 on Machine 3 duration 2 mins.
Operation 2 on Machine 7 duration 111 mins.
Operation 3 on Machine 1 duration 83 mins.
Operation 4 on Machine 5 duration 13 mins.
Operation 5 on Machine 8 duration 33 mins.
Operation 6 on Machine 6 duration 136 mins.
Operation 7 on Machine 4 duration 109 mins.
Operation 8 on Machine 2 duration 46 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 86 mins.
Operation 1 on Machine 7 duration 63 mins.
Operation 2 on Machine 1 duration 98 mins.
Operation 3 on Machine 3 duration 87 mins.
Operation 4 on Machine 5 duration 105 mins.
Operation 5 on Machine 6 duration 85 mins.
Operation 6 on Machine 0 duration 138 mins.
Operation 7 on Machine 2 duration 44 mins.
Operation 8 on Machine 8 duration 35 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 142 mins.
Operation 1 on Machine 3 duration 10 mins.
Operation 2 on Machine 8 duration 101 mins.
Operation 3 on Machine 7 duration 50 mins.
Operation 4 on Machine 6 duration 80 mins.
Operation 5 on Machine 0 duration 121 mins.
Operation 6 on Machine 5 duration 76 mins.
Operation 7 on Machine 4 duration 39 mins.
Operation 8 on Machine 1 duration 86 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 109 mins.
Operation 1 on Machine 4 duration 29 mins.
Operation 2 on Machine 5 duration 49 mins.
Operation 3 on Machine 1 duration 136 mins.
Operation 4 on Machine 3 duration 58 mins.
Operation 5 on Machine 0 duration 77 mins.
Operation 6 on Machine 7 duration 119 mins.
Operation 7 on Machine 6 duration 142 mins.
Operation 8 on Machine 8 duration 39 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 7 duration 15 mins.
Operation 1 on Machine 1 duration 21 mins.
Operation 2 on Machine 5 duration 74 mins.
Operation 3 on Machine 8 duration 70 mins.
Operation 4 on Machine 6 duration 78 mins.
Operation 5 on Machine 4 duration 52 mins.
Operation 6 on Machine 2 duration 53 mins.
Operation 7 on Machine 0 duration 140 mins.
Operation 8 on Machine 3 duration 45 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 56 mins.
Operation 1 on Machine 6 duration 123 mins.
Operation 2 on Machine 3 duration 33 mins.
Operation 3 on Machine 1 duration 92 mins.
Operation 4 on Machine 5 duration 19 mins.
Operation 5 on Machine 4 duration 65 mins.
Operation 6 on Machine 7 duration 58 mins.
Operation 7 on Machine 2 duration 104 mins.
Operation 8 on Machine 8 duration 33 mins.
| null |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 136 mins.
Job 8 Operation 0 duration 56 mins.
Job 2 Operation 3 duration 82 mins.
Job 0 Operation 5 duration 84 mins.
Job 5 Operation 5 duration 121 mins.
Job 6 Operation 5 duration 77 mins.
Job 4 Operation 6 duration 138 mins.
Job 7 Operation 7 duration 140 mins.
Job 1 Operation 8 duration 114 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 1 duration 21 mins.
Job 4 Operation 2 duration 98 mins.
Job 1 Operation 3 duration 136 mins.
Job 3 Operation 3 duration 83 mins.
Job 6 Operation 3 duration 136 mins.
Job 8 Operation 3 duration 92 mins.
Job 2 Operation 6 duration 37 mins.
Job 0 Operation 8 duration 40 mins.
Job 5 Operation 8 duration 86 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 142 mins.
Job 6 Operation 0 duration 109 mins.
Job 0 Operation 2 duration 8 mins.
Job 2 Operation 4 duration 57 mins.
Job 7 Operation 6 duration 53 mins.
Job 1 Operation 7 duration 97 mins.
Job 4 Operation 7 duration 44 mins.
Job 8 Operation 7 duration 104 mins.
Job 3 Operation 8 duration 46 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 1 duration 2 mins.
Job 5 Operation 1 duration 10 mins.
Job 8 Operation 2 duration 33 mins.
Job 0 Operation 3 duration 19 mins.
Job 4 Operation 3 duration 87 mins.
Job 6 Operation 4 duration 58 mins.
Job 1 Operation 5 duration 111 mins.
Job 2 Operation 5 duration 110 mins.
Job 7 Operation 8 duration 45 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 86 mins.
Job 0 Operation 1 duration 111 mins.
Job 6 Operation 1 duration 29 mins.
Job 1 Operation 2 duration 76 mins.
Job 7 Operation 5 duration 52 mins.
Job 8 Operation 5 duration 65 mins.
Job 3 Operation 7 duration 109 mins.
Job 5 Operation 7 duration 39 mins.
Job 2 Operation 8 duration 123 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 38 mins.
Job 1 Operation 1 duration 71 mins.
Job 2 Operation 1 duration 104 mins.
Job 6 Operation 2 duration 49 mins.
Job 7 Operation 2 duration 74 mins.
Job 3 Operation 4 duration 13 mins.
Job 4 Operation 4 duration 105 mins.
Job 8 Operation 4 duration 19 mins.
Job 5 Operation 6 duration 76 mins.
Machine 6 is used for the following Operations:
Job 8 Operation 1 duration 123 mins.
Job 0 Operation 4 duration 118 mins.
Job 1 Operation 4 duration 127 mins.
Job 5 Operation 4 duration 80 mins.
Job 7 Operation 4 duration 78 mins.
Job 4 Operation 5 duration 85 mins.
Job 3 Operation 6 duration 136 mins.
Job 2 Operation 7 duration 117 mins.
Job 6 Operation 7 duration 142 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 115 mins.
Job 7 Operation 0 duration 15 mins.
Job 4 Operation 1 duration 63 mins.
Job 2 Operation 2 duration 131 mins.
Job 3 Operation 2 duration 111 mins.
Job 5 Operation 3 duration 50 mins.
Job 0 Operation 6 duration 87 mins.
Job 6 Operation 6 duration 119 mins.
Job 8 Operation 6 duration 58 mins.
Machine 8 is used for the following Operations:
Job 2 Operation 0 duration 89 mins.
Job 5 Operation 2 duration 101 mins.
Job 7 Operation 3 duration 70 mins.
Job 3 Operation 5 duration 33 mins.
Job 1 Operation 6 duration 53 mins.
Job 0 Operation 7 duration 62 mins.
Job 4 Operation 8 duration 35 mins.
Job 6 Operation 8 duration 39 mins.
Job 8 Operation 8 duration 33 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 56 -> 56
Job 6 Operation 0 on Machine 2 : 0 + 109 -> 109
Job 4 Operation 0 on Machine 4 : 0 + 86 -> 86
Job 0 Operation 0 on Machine 5 : 0 + 38 -> 38
Job 7 Operation 0 on Machine 7 : 0 + 15 -> 15
Job 2 Operation 0 on Machine 8 : 0 + 89 -> 89
Job 7 Operation 1 on Machine 1 : 15 + 21 -> 36
Job 1 Operation 0 on Machine 7 : 15 + 115 -> 130
Job 7 Operation 2 on Machine 5 : 38 + 74 -> 112
Job 3 Operation 0 on Machine 0 : 56 + 136 -> 192
Job 8 Operation 1 on Machine 6 : 56 + 123 -> 179
Job 0 Operation 1 on Machine 4 : 86 + 111 -> 197
Job 5 Operation 0 on Machine 2 : 109 + 142 -> 251
Job 2 Operation 1 on Machine 5 : 112 + 104 -> 216
Job 7 Operation 3 on Machine 8 : 112 + 70 -> 182
Job 4 Operation 1 on Machine 7 : 130 + 63 -> 193
Job 7 Operation 4 on Machine 6 : 182 + 78 -> 260
Job 3 Operation 1 on Machine 3 : 192 + 2 -> 194
Job 4 Operation 2 on Machine 1 : 193 + 98 -> 291
Job 8 Operation 2 on Machine 3 : 194 + 33 -> 227
Job 6 Operation 1 on Machine 4 : 197 + 29 -> 226
Job 2 Operation 2 on Machine 7 : 216 + 131 -> 347
Job 6 Operation 2 on Machine 5 : 226 + 49 -> 275
Job 0 Operation 2 on Machine 2 : 251 + 8 -> 259
Job 5 Operation 1 on Machine 3 : 251 + 10 -> 261
Job 7 Operation 5 on Machine 4 : 260 + 52 -> 312
Job 0 Operation 3 on Machine 3 : 261 + 19 -> 280
Job 5 Operation 2 on Machine 8 : 261 + 101 -> 362
Job 1 Operation 1 on Machine 5 : 275 + 71 -> 346
Job 0 Operation 4 on Machine 6 : 280 + 118 -> 398
Job 6 Operation 3 on Machine 1 : 291 + 136 -> 427
Job 4 Operation 3 on Machine 3 : 291 + 87 -> 378
Job 7 Operation 6 on Machine 2 : 312 + 53 -> 365
Job 1 Operation 2 on Machine 4 : 346 + 76 -> 422
Job 2 Operation 3 on Machine 0 : 347 + 82 -> 429
Job 5 Operation 3 on Machine 7 : 362 + 50 -> 412
Job 4 Operation 4 on Machine 5 : 378 + 105 -> 483
Job 5 Operation 4 on Machine 6 : 412 + 80 -> 492
Job 3 Operation 2 on Machine 7 : 412 + 111 -> 523
Job 1 Operation 3 on Machine 1 : 427 + 136 -> 563
Job 7 Operation 7 on Machine 0 : 429 + 140 -> 569
Job 2 Operation 4 on Machine 2 : 429 + 57 -> 486
Job 2 Operation 5 on Machine 3 : 486 + 110 -> 596
Job 4 Operation 5 on Machine 6 : 492 + 85 -> 577
Job 8 Operation 3 on Machine 1 : 563 + 92 -> 655
Job 0 Operation 5 on Machine 0 : 569 + 84 -> 653
Job 1 Operation 4 on Machine 6 : 577 + 127 -> 704
Job 6 Operation 4 on Machine 3 : 596 + 58 -> 654
Job 0 Operation 6 on Machine 7 : 653 + 87 -> 740
Job 6 Operation 5 on Machine 0 : 654 + 77 -> 731
Job 2 Operation 6 on Machine 1 : 655 + 37 -> 692
Job 8 Operation 4 on Machine 5 : 655 + 19 -> 674
Job 8 Operation 5 on Machine 4 : 674 + 65 -> 739
Job 3 Operation 3 on Machine 1 : 692 + 83 -> 775
Job 1 Operation 5 on Machine 3 : 704 + 111 -> 815
Job 2 Operation 7 on Machine 6 : 704 + 117 -> 821
Job 5 Operation 5 on Machine 0 : 731 + 121 -> 852
Job 8 Operation 6 on Machine 7 : 740 + 58 -> 798
Job 3 Operation 4 on Machine 5 : 775 + 13 -> 788
Job 3 Operation 5 on Machine 8 : 788 + 33 -> 821
Job 8 Operation 7 on Machine 2 : 798 + 104 -> 902
Job 6 Operation 6 on Machine 7 : 798 + 119 -> 917
Job 7 Operation 8 on Machine 3 : 815 + 45 -> 860
Job 2 Operation 8 on Machine 4 : 821 + 123 -> 944
Job 3 Operation 6 on Machine 6 : 821 + 136 -> 957
Job 1 Operation 6 on Machine 8 : 821 + 53 -> 874
Job 4 Operation 6 on Machine 0 : 852 + 138 -> 990
Job 5 Operation 6 on Machine 5 : 852 + 76 -> 928
Job 1 Operation 7 on Machine 2 : 902 + 97 -> 999
Job 8 Operation 8 on Machine 8 : 902 + 33 -> 935
Job 0 Operation 7 on Machine 8 : 935 + 62 -> 997
Job 5 Operation 7 on Machine 4 : 944 + 39 -> 983
Job 6 Operation 7 on Machine 6 : 957 + 142 -> 1099
Job 5 Operation 8 on Machine 1 : 983 + 86 -> 1069
Job 3 Operation 7 on Machine 4 : 983 + 109 -> 1092
Job 1 Operation 8 on Machine 0 : 999 + 114 -> 1113
Job 4 Operation 7 on Machine 2 : 999 + 44 -> 1043
Job 4 Operation 8 on Machine 8 : 1043 + 35 -> 1078
Job 0 Operation 8 on Machine 1 : 1069 + 40 -> 1109
Job 3 Operation 8 on Machine 2 : 1092 + 46 -> 1138
Job 6 Operation 8 on Machine 8 : 1099 + 39 -> 1138
Makespan: 1138.0, as it is the maximum end completion time of Operation 8
| null |
|
2 | 2 |
Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 154 mins.
Operation 1 on Machine 1 duration 24 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 131 mins.
Operation 1 on Machine 0 duration 133 mins.
| null |
Optimize schedule for 2 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 154 mins.
Job 1 Operation 1 duration 133 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 131 mins.
Job 0 Operation 1 duration 24 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 154 -> 154
Job 1 Operation 0 on Machine 1 : 0 + 131 -> 131
Job 1 Operation 1 on Machine 0 : 154 + 133 -> 287
Job 0 Operation 1 on Machine 1 : 154 + 24 -> 178
Makespan: 287.0, as it is the maximum end completion time of Operation 1
| null |
|
9 | 7 |
Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 3 mins.
Operation 1 on Machine 6 duration 5 mins.
Operation 2 on Machine 3 duration 4 mins.
Operation 3 on Machine 2 duration 2 mins.
Operation 4 on Machine 0 duration 5 mins.
Operation 5 on Machine 4 duration 1 mins.
Operation 6 on Machine 1 duration 5 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 1 mins.
Operation 1 on Machine 2 duration 1 mins.
Operation 2 on Machine 3 duration 7 mins.
Operation 3 on Machine 0 duration 7 mins.
Operation 4 on Machine 6 duration 6 mins.
Operation 5 on Machine 5 duration 6 mins.
Operation 6 on Machine 4 duration 1 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 3 mins.
Operation 1 on Machine 2 duration 6 mins.
Operation 2 on Machine 1 duration 7 mins.
Operation 3 on Machine 0 duration 5 mins.
Operation 4 on Machine 3 duration 1 mins.
Operation 5 on Machine 6 duration 3 mins.
Operation 6 on Machine 4 duration 3 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 3 mins.
Operation 1 on Machine 4 duration 3 mins.
Operation 2 on Machine 2 duration 3 mins.
Operation 3 on Machine 3 duration 2 mins.
Operation 4 on Machine 1 duration 4 mins.
Operation 5 on Machine 0 duration 2 mins.
Operation 6 on Machine 6 duration 8 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 3 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 4 duration 5 mins.
Operation 3 on Machine 6 duration 6 mins.
Operation 4 on Machine 1 duration 1 mins.
Operation 5 on Machine 3 duration 3 mins.
Operation 6 on Machine 5 duration 5 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 5 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 5 duration 3 mins.
Operation 3 on Machine 2 duration 2 mins.
Operation 4 on Machine 4 duration 1 mins.
Operation 5 on Machine 1 duration 8 mins.
Operation 6 on Machine 6 duration 8 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 8 mins.
Operation 1 on Machine 4 duration 4 mins.
Operation 2 on Machine 0 duration 5 mins.
Operation 3 on Machine 2 duration 1 mins.
Operation 4 on Machine 1 duration 4 mins.
Operation 5 on Machine 3 duration 4 mins.
Operation 6 on Machine 5 duration 8 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 5 mins.
Operation 1 on Machine 2 duration 3 mins.
Operation 2 on Machine 0 duration 8 mins.
Operation 3 on Machine 4 duration 6 mins.
Operation 4 on Machine 1 duration 5 mins.
Operation 5 on Machine 6 duration 8 mins.
Operation 6 on Machine 5 duration 4 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 3 duration 5 mins.
Operation 2 on Machine 4 duration 5 mins.
Operation 3 on Machine 6 duration 6 mins.
Operation 4 on Machine 2 duration 3 mins.
Operation 5 on Machine 5 duration 1 mins.
Operation 6 on Machine 0 duration 4 mins.
| null |
Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 1 duration 8 mins.
Job 5 Operation 1 duration 8 mins.
Job 6 Operation 2 duration 5 mins.
Job 7 Operation 2 duration 8 mins.
Job 1 Operation 3 duration 7 mins.
Job 2 Operation 3 duration 5 mins.
Job 0 Operation 4 duration 5 mins.
Job 3 Operation 5 duration 2 mins.
Job 8 Operation 6 duration 4 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 1 mins.
Job 8 Operation 0 duration 3 mins.
Job 2 Operation 2 duration 7 mins.
Job 3 Operation 4 duration 4 mins.
Job 4 Operation 4 duration 1 mins.
Job 6 Operation 4 duration 4 mins.
Job 7 Operation 4 duration 5 mins.
Job 5 Operation 5 duration 8 mins.
Job 0 Operation 6 duration 5 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 3 mins.
Job 1 Operation 1 duration 1 mins.
Job 2 Operation 1 duration 6 mins.
Job 7 Operation 1 duration 3 mins.
Job 3 Operation 2 duration 3 mins.
Job 0 Operation 3 duration 2 mins.
Job 5 Operation 3 duration 2 mins.
Job 6 Operation 3 duration 1 mins.
Job 8 Operation 4 duration 3 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 5 mins.
Job 7 Operation 0 duration 5 mins.
Job 8 Operation 1 duration 5 mins.
Job 0 Operation 2 duration 4 mins.
Job 1 Operation 2 duration 7 mins.
Job 3 Operation 3 duration 2 mins.
Job 2 Operation 4 duration 1 mins.
Job 4 Operation 5 duration 3 mins.
Job 6 Operation 5 duration 4 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 1 duration 3 mins.
Job 6 Operation 1 duration 4 mins.
Job 4 Operation 2 duration 5 mins.
Job 8 Operation 2 duration 5 mins.
Job 7 Operation 3 duration 6 mins.
Job 5 Operation 4 duration 1 mins.
Job 0 Operation 5 duration 1 mins.
Job 1 Operation 6 duration 1 mins.
Job 2 Operation 6 duration 3 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 3 mins.
Job 2 Operation 0 duration 3 mins.
Job 3 Operation 0 duration 3 mins.
Job 5 Operation 2 duration 3 mins.
Job 1 Operation 5 duration 6 mins.
Job 8 Operation 5 duration 1 mins.
Job 4 Operation 6 duration 5 mins.
Job 6 Operation 6 duration 8 mins.
Job 7 Operation 6 duration 4 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 0 duration 8 mins.
Job 0 Operation 1 duration 5 mins.
Job 4 Operation 3 duration 6 mins.
Job 8 Operation 3 duration 6 mins.
Job 1 Operation 4 duration 6 mins.
Job 2 Operation 5 duration 3 mins.
Job 7 Operation 5 duration 8 mins.
Job 3 Operation 6 duration 8 mins.
Job 5 Operation 6 duration 8 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 1 : 0 + 1 -> 1
Job 4 Operation 0 on Machine 2 : 0 + 3 -> 3
Job 7 Operation 0 on Machine 3 : 0 + 5 -> 5
Job 2 Operation 0 on Machine 5 : 0 + 3 -> 3
Job 6 Operation 0 on Machine 6 : 0 + 8 -> 8
Job 8 Operation 0 on Machine 1 : 1 + 3 -> 4
Job 4 Operation 1 on Machine 0 : 3 + 8 -> 11
Job 1 Operation 1 on Machine 2 : 3 + 1 -> 4
Job 3 Operation 0 on Machine 5 : 3 + 3 -> 6
Job 7 Operation 1 on Machine 2 : 5 + 3 -> 8
Job 8 Operation 1 on Machine 3 : 5 + 5 -> 10
Job 3 Operation 1 on Machine 4 : 6 + 3 -> 9
Job 0 Operation 0 on Machine 5 : 6 + 3 -> 9
Job 2 Operation 1 on Machine 2 : 8 + 6 -> 14
Job 0 Operation 1 on Machine 6 : 9 + 5 -> 14
Job 1 Operation 2 on Machine 3 : 10 + 7 -> 17
Job 8 Operation 2 on Machine 4 : 10 + 5 -> 15
Job 7 Operation 2 on Machine 0 : 11 + 8 -> 19
Job 2 Operation 2 on Machine 1 : 14 + 7 -> 21
Job 3 Operation 2 on Machine 2 : 14 + 3 -> 17
Job 4 Operation 2 on Machine 4 : 15 + 5 -> 20
Job 8 Operation 3 on Machine 6 : 15 + 6 -> 21
Job 3 Operation 3 on Machine 3 : 17 + 2 -> 19
Job 1 Operation 3 on Machine 0 : 19 + 7 -> 26
Job 5 Operation 0 on Machine 3 : 19 + 5 -> 24
Job 7 Operation 3 on Machine 4 : 20 + 6 -> 26
Job 3 Operation 4 on Machine 1 : 21 + 4 -> 25
Job 8 Operation 4 on Machine 2 : 21 + 3 -> 24
Job 4 Operation 3 on Machine 6 : 21 + 6 -> 27
Job 0 Operation 2 on Machine 3 : 24 + 4 -> 28
Job 8 Operation 5 on Machine 5 : 24 + 1 -> 25
Job 5 Operation 1 on Machine 0 : 26 + 8 -> 34
Job 6 Operation 1 on Machine 4 : 26 + 4 -> 30
Job 4 Operation 4 on Machine 1 : 27 + 1 -> 28
Job 1 Operation 4 on Machine 6 : 27 + 6 -> 33
Job 7 Operation 4 on Machine 1 : 28 + 5 -> 33
Job 0 Operation 3 on Machine 2 : 28 + 2 -> 30
Job 4 Operation 5 on Machine 3 : 28 + 3 -> 31
Job 7 Operation 5 on Machine 6 : 33 + 8 -> 41
Job 6 Operation 2 on Machine 0 : 34 + 5 -> 39
Job 5 Operation 2 on Machine 5 : 34 + 3 -> 37
Job 5 Operation 3 on Machine 2 : 37 + 2 -> 39
Job 1 Operation 5 on Machine 5 : 37 + 6 -> 43
Job 3 Operation 5 on Machine 0 : 39 + 2 -> 41
Job 6 Operation 3 on Machine 2 : 39 + 1 -> 40
Job 5 Operation 4 on Machine 4 : 39 + 1 -> 40
Job 6 Operation 4 on Machine 1 : 40 + 4 -> 44
Job 2 Operation 3 on Machine 0 : 41 + 5 -> 46
Job 3 Operation 6 on Machine 6 : 41 + 8 -> 49
Job 1 Operation 6 on Machine 4 : 43 + 1 -> 44
Job 7 Operation 6 on Machine 5 : 43 + 4 -> 47
Job 5 Operation 5 on Machine 1 : 44 + 8 -> 52
Job 6 Operation 5 on Machine 3 : 44 + 4 -> 48
Job 0 Operation 4 on Machine 0 : 46 + 5 -> 51
Job 4 Operation 6 on Machine 5 : 47 + 5 -> 52
Job 2 Operation 4 on Machine 3 : 48 + 1 -> 49
Job 2 Operation 5 on Machine 6 : 49 + 3 -> 52
Job 8 Operation 6 on Machine 0 : 51 + 4 -> 55
Job 0 Operation 5 on Machine 4 : 51 + 1 -> 52
Job 0 Operation 6 on Machine 1 : 52 + 5 -> 57
Job 2 Operation 6 on Machine 4 : 52 + 3 -> 55
Job 6 Operation 6 on Machine 5 : 52 + 8 -> 60
Job 5 Operation 6 on Machine 6 : 52 + 8 -> 60
Makespan: 60.0, as it is the maximum end completion time of Operation 6
| null |
|
9 | 8 |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 105 mins.
Operation 1 on Machine 5 duration 381 mins.
Operation 2 on Machine 3 duration 348 mins.
Operation 3 on Machine 2 duration 137 mins.
Operation 4 on Machine 6 duration 283 mins.
Operation 5 on Machine 7 duration 336 mins.
Operation 6 on Machine 1 duration 46 mins.
Operation 7 on Machine 4 duration 405 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 282 mins.
Operation 1 on Machine 2 duration 253 mins.
Operation 2 on Machine 0 duration 253 mins.
Operation 3 on Machine 6 duration 12 mins.
Operation 4 on Machine 5 duration 21 mins.
Operation 5 on Machine 3 duration 40 mins.
Operation 6 on Machine 7 duration 9 mins.
Operation 7 on Machine 1 duration 450 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 213 mins.
Operation 1 on Machine 4 duration 427 mins.
Operation 2 on Machine 2 duration 165 mins.
Operation 3 on Machine 7 duration 407 mins.
Operation 4 on Machine 0 duration 172 mins.
Operation 5 on Machine 5 duration 73 mins.
Operation 6 on Machine 3 duration 400 mins.
Operation 7 on Machine 6 duration 180 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 196 mins.
Operation 1 on Machine 4 duration 443 mins.
Operation 2 on Machine 5 duration 240 mins.
Operation 3 on Machine 6 duration 64 mins.
Operation 4 on Machine 2 duration 197 mins.
Operation 5 on Machine 1 duration 253 mins.
Operation 6 on Machine 3 duration 461 mins.
Operation 7 on Machine 7 duration 122 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 397 mins.
Operation 1 on Machine 0 duration 275 mins.
Operation 2 on Machine 1 duration 449 mins.
Operation 3 on Machine 6 duration 351 mins.
Operation 4 on Machine 7 duration 434 mins.
Operation 5 on Machine 4 duration 463 mins.
Operation 6 on Machine 3 duration 15 mins.
Operation 7 on Machine 5 duration 232 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 40 mins.
Operation 1 on Machine 5 duration 130 mins.
Operation 2 on Machine 3 duration 234 mins.
Operation 3 on Machine 2 duration 154 mins.
Operation 4 on Machine 7 duration 115 mins.
Operation 5 on Machine 4 duration 310 mins.
Operation 6 on Machine 0 duration 189 mins.
Operation 7 on Machine 6 duration 197 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 121 mins.
Operation 1 on Machine 1 duration 376 mins.
Operation 2 on Machine 5 duration 388 mins.
Operation 3 on Machine 4 duration 351 mins.
Operation 4 on Machine 7 duration 235 mins.
Operation 5 on Machine 0 duration 210 mins.
Operation 6 on Machine 3 duration 453 mins.
Operation 7 on Machine 6 duration 260 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 5 mins.
Operation 1 on Machine 6 duration 210 mins.
Operation 2 on Machine 0 duration 125 mins.
Operation 3 on Machine 2 duration 338 mins.
Operation 4 on Machine 7 duration 207 mins.
Operation 5 on Machine 3 duration 38 mins.
Operation 6 on Machine 4 duration 328 mins.
Operation 7 on Machine 1 duration 265 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 418 mins.
Operation 1 on Machine 2 duration 451 mins.
Operation 2 on Machine 0 duration 229 mins.
Operation 3 on Machine 4 duration 63 mins.
Operation 4 on Machine 6 duration 429 mins.
Operation 5 on Machine 3 duration 239 mins.
Operation 6 on Machine 7 duration 77 mins.
Operation 7 on Machine 5 duration 84 mins.
| null |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 105 mins.
Job 3 Operation 0 duration 196 mins.
Job 4 Operation 1 duration 275 mins.
Job 1 Operation 2 duration 253 mins.
Job 7 Operation 2 duration 125 mins.
Job 8 Operation 2 duration 229 mins.
Job 2 Operation 4 duration 172 mins.
Job 6 Operation 5 duration 210 mins.
Job 5 Operation 6 duration 189 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 213 mins.
Job 5 Operation 0 duration 40 mins.
Job 8 Operation 0 duration 418 mins.
Job 6 Operation 1 duration 376 mins.
Job 4 Operation 2 duration 449 mins.
Job 3 Operation 5 duration 253 mins.
Job 0 Operation 6 duration 46 mins.
Job 1 Operation 7 duration 450 mins.
Job 7 Operation 7 duration 265 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 397 mins.
Job 6 Operation 0 duration 121 mins.
Job 1 Operation 1 duration 253 mins.
Job 8 Operation 1 duration 451 mins.
Job 2 Operation 2 duration 165 mins.
Job 0 Operation 3 duration 137 mins.
Job 5 Operation 3 duration 154 mins.
Job 7 Operation 3 duration 338 mins.
Job 3 Operation 4 duration 197 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 2 duration 348 mins.
Job 5 Operation 2 duration 234 mins.
Job 1 Operation 5 duration 40 mins.
Job 7 Operation 5 duration 38 mins.
Job 8 Operation 5 duration 239 mins.
Job 2 Operation 6 duration 400 mins.
Job 3 Operation 6 duration 461 mins.
Job 4 Operation 6 duration 15 mins.
Job 6 Operation 6 duration 453 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 282 mins.
Job 2 Operation 1 duration 427 mins.
Job 3 Operation 1 duration 443 mins.
Job 6 Operation 3 duration 351 mins.
Job 8 Operation 3 duration 63 mins.
Job 4 Operation 5 duration 463 mins.
Job 5 Operation 5 duration 310 mins.
Job 7 Operation 6 duration 328 mins.
Job 0 Operation 7 duration 405 mins.
Machine 5 is used for the following Operations:
Job 7 Operation 0 duration 5 mins.
Job 0 Operation 1 duration 381 mins.
Job 5 Operation 1 duration 130 mins.
Job 3 Operation 2 duration 240 mins.
Job 6 Operation 2 duration 388 mins.
Job 1 Operation 4 duration 21 mins.
Job 2 Operation 5 duration 73 mins.
Job 4 Operation 7 duration 232 mins.
Job 8 Operation 7 duration 84 mins.
Machine 6 is used for the following Operations:
Job 7 Operation 1 duration 210 mins.
Job 1 Operation 3 duration 12 mins.
Job 3 Operation 3 duration 64 mins.
Job 4 Operation 3 duration 351 mins.
Job 0 Operation 4 duration 283 mins.
Job 8 Operation 4 duration 429 mins.
Job 2 Operation 7 duration 180 mins.
Job 5 Operation 7 duration 197 mins.
Job 6 Operation 7 duration 260 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 3 duration 407 mins.
Job 4 Operation 4 duration 434 mins.
Job 5 Operation 4 duration 115 mins.
Job 6 Operation 4 duration 235 mins.
Job 7 Operation 4 duration 207 mins.
Job 0 Operation 5 duration 336 mins.
Job 1 Operation 6 duration 9 mins.
Job 8 Operation 6 duration 77 mins.
Job 3 Operation 7 duration 122 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 105 -> 105
Job 2 Operation 0 on Machine 1 : 0 + 213 -> 213
Job 6 Operation 0 on Machine 2 : 0 + 121 -> 121
Job 1 Operation 0 on Machine 4 : 0 + 282 -> 282
Job 7 Operation 0 on Machine 5 : 0 + 5 -> 5
Job 7 Operation 1 on Machine 6 : 5 + 210 -> 215
Job 3 Operation 0 on Machine 0 : 105 + 196 -> 301
Job 0 Operation 1 on Machine 5 : 105 + 381 -> 486
Job 4 Operation 0 on Machine 2 : 121 + 397 -> 518
Job 5 Operation 0 on Machine 1 : 213 + 40 -> 253
Job 6 Operation 1 on Machine 1 : 253 + 376 -> 629
Job 2 Operation 1 on Machine 4 : 282 + 427 -> 709
Job 7 Operation 2 on Machine 0 : 301 + 125 -> 426
Job 0 Operation 2 on Machine 3 : 486 + 348 -> 834
Job 5 Operation 1 on Machine 5 : 486 + 130 -> 616
Job 4 Operation 1 on Machine 0 : 518 + 275 -> 793
Job 1 Operation 1 on Machine 2 : 518 + 253 -> 771
Job 8 Operation 0 on Machine 1 : 629 + 418 -> 1047
Job 6 Operation 2 on Machine 5 : 629 + 388 -> 1017
Job 3 Operation 1 on Machine 4 : 709 + 443 -> 1152
Job 2 Operation 2 on Machine 2 : 771 + 165 -> 936
Job 1 Operation 2 on Machine 0 : 793 + 253 -> 1046
Job 5 Operation 2 on Machine 3 : 834 + 234 -> 1068
Job 7 Operation 3 on Machine 2 : 936 + 338 -> 1274
Job 2 Operation 3 on Machine 7 : 936 + 407 -> 1343
Job 1 Operation 3 on Machine 6 : 1046 + 12 -> 1058
Job 4 Operation 2 on Machine 1 : 1047 + 449 -> 1496
Job 6 Operation 3 on Machine 4 : 1152 + 351 -> 1503
Job 3 Operation 2 on Machine 5 : 1152 + 240 -> 1392
Job 5 Operation 3 on Machine 2 : 1274 + 154 -> 1428
Job 2 Operation 4 on Machine 0 : 1343 + 172 -> 1515
Job 7 Operation 4 on Machine 7 : 1343 + 207 -> 1550
Job 1 Operation 4 on Machine 5 : 1392 + 21 -> 1413
Job 3 Operation 3 on Machine 6 : 1392 + 64 -> 1456
Job 1 Operation 5 on Machine 3 : 1413 + 40 -> 1453
Job 8 Operation 1 on Machine 2 : 1428 + 451 -> 1879
Job 4 Operation 3 on Machine 6 : 1496 + 351 -> 1847
Job 2 Operation 5 on Machine 5 : 1515 + 73 -> 1588
Job 7 Operation 5 on Machine 3 : 1550 + 38 -> 1588
Job 6 Operation 4 on Machine 7 : 1550 + 235 -> 1785
Job 2 Operation 6 on Machine 3 : 1588 + 400 -> 1988
Job 7 Operation 6 on Machine 4 : 1588 + 328 -> 1916
Job 6 Operation 5 on Machine 0 : 1785 + 210 -> 1995
Job 5 Operation 4 on Machine 7 : 1785 + 115 -> 1900
Job 0 Operation 3 on Machine 2 : 1879 + 137 -> 2016
Job 4 Operation 4 on Machine 7 : 1900 + 434 -> 2334
Job 5 Operation 5 on Machine 4 : 1916 + 310 -> 2226
Job 2 Operation 7 on Machine 6 : 1988 + 180 -> 2168
Job 8 Operation 2 on Machine 0 : 1995 + 229 -> 2224
Job 6 Operation 6 on Machine 3 : 1995 + 453 -> 2448
Job 3 Operation 4 on Machine 2 : 2016 + 197 -> 2213
Job 0 Operation 4 on Machine 6 : 2168 + 283 -> 2451
Job 3 Operation 5 on Machine 1 : 2213 + 253 -> 2466
Job 5 Operation 6 on Machine 0 : 2226 + 189 -> 2415
Job 8 Operation 3 on Machine 4 : 2226 + 63 -> 2289
Job 4 Operation 5 on Machine 4 : 2334 + 463 -> 2797
Job 8 Operation 4 on Machine 6 : 2451 + 429 -> 2880
Job 0 Operation 5 on Machine 7 : 2451 + 336 -> 2787
Job 7 Operation 7 on Machine 1 : 2466 + 265 -> 2731
Job 3 Operation 6 on Machine 3 : 2466 + 461 -> 2927
Job 0 Operation 6 on Machine 1 : 2787 + 46 -> 2833
Job 1 Operation 6 on Machine 7 : 2787 + 9 -> 2796
Job 1 Operation 7 on Machine 1 : 2833 + 450 -> 3283
Job 0 Operation 7 on Machine 4 : 2833 + 405 -> 3238
Job 6 Operation 7 on Machine 6 : 2880 + 260 -> 3140
Job 4 Operation 6 on Machine 3 : 2927 + 15 -> 2942
Job 3 Operation 7 on Machine 7 : 2927 + 122 -> 3049
Job 8 Operation 5 on Machine 3 : 2942 + 239 -> 3181
Job 4 Operation 7 on Machine 5 : 2942 + 232 -> 3174
Job 5 Operation 7 on Machine 6 : 3140 + 197 -> 3337
Job 8 Operation 6 on Machine 7 : 3181 + 77 -> 3258
Job 8 Operation 7 on Machine 5 : 3258 + 84 -> 3342
Makespan: 3342.0, as it is the maximum end completion time of Operation 7
| null |
|
15 | 15 |
Optimize schedule for 15 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 12 duration 82 mins.
Operation 1 on Machine 2 duration 18 mins.
Operation 2 on Machine 0 duration 110 mins.
Operation 3 on Machine 5 duration 21 mins.
Operation 4 on Machine 13 duration 79 mins.
Operation 5 on Machine 14 duration 63 mins.
Operation 6 on Machine 6 duration 57 mins.
Operation 7 on Machine 11 duration 46 mins.
Operation 8 on Machine 3 duration 30 mins.
Operation 9 on Machine 8 duration 73 mins.
Operation 10 on Machine 4 duration 83 mins.
Operation 11 on Machine 9 duration 4 mins.
Operation 12 on Machine 7 duration 35 mins.
Operation 13 on Machine 1 duration 17 mins.
Operation 14 on Machine 10 duration 98 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 58 mins.
Operation 1 on Machine 2 duration 31 mins.
Operation 2 on Machine 11 duration 13 mins.
Operation 3 on Machine 1 duration 77 mins.
Operation 4 on Machine 7 duration 62 mins.
Operation 5 on Machine 6 duration 104 mins.
Operation 6 on Machine 13 duration 72 mins.
Operation 7 on Machine 8 duration 100 mins.
Operation 8 on Machine 5 duration 36 mins.
Operation 9 on Machine 4 duration 18 mins.
Operation 10 on Machine 12 duration 76 mins.
Operation 11 on Machine 9 duration 59 mins.
Operation 12 on Machine 10 duration 77 mins.
Operation 13 on Machine 14 duration 8 mins.
Operation 14 on Machine 0 duration 91 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 8 duration 69 mins.
Operation 1 on Machine 14 duration 97 mins.
Operation 2 on Machine 4 duration 82 mins.
Operation 3 on Machine 6 duration 19 mins.
Operation 4 on Machine 12 duration 12 mins.
Operation 5 on Machine 10 duration 29 mins.
Operation 6 on Machine 9 duration 61 mins.
Operation 7 on Machine 1 duration 62 mins.
Operation 8 on Machine 11 duration 15 mins.
Operation 9 on Machine 7 duration 108 mins.
Operation 10 on Machine 0 duration 1 mins.
Operation 11 on Machine 13 duration 19 mins.
Operation 12 on Machine 5 duration 43 mins.
Operation 13 on Machine 3 duration 23 mins.
Operation 14 on Machine 2 duration 80 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 64 mins.
Operation 1 on Machine 6 duration 83 mins.
Operation 2 on Machine 7 duration 59 mins.
Operation 3 on Machine 13 duration 41 mins.
Operation 4 on Machine 12 duration 12 mins.
Operation 5 on Machine 11 duration 108 mins.
Operation 6 on Machine 2 duration 6 mins.
Operation 7 on Machine 10 duration 101 mins.
Operation 8 on Machine 5 duration 87 mins.
Operation 9 on Machine 4 duration 23 mins.
Operation 10 on Machine 8 duration 84 mins.
Operation 11 on Machine 9 duration 61 mins.
Operation 12 on Machine 3 duration 102 mins.
Operation 13 on Machine 1 duration 42 mins.
Operation 14 on Machine 14 duration 62 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 42 mins.
Operation 1 on Machine 3 duration 103 mins.
Operation 2 on Machine 13 duration 64 mins.
Operation 3 on Machine 7 duration 111 mins.
Operation 4 on Machine 11 duration 34 mins.
Operation 5 on Machine 8 duration 106 mins.
Operation 6 on Machine 9 duration 104 mins.
Operation 7 on Machine 0 duration 91 mins.
Operation 8 on Machine 10 duration 7 mins.
Operation 9 on Machine 4 duration 43 mins.
Operation 10 on Machine 5 duration 19 mins.
Operation 11 on Machine 14 duration 57 mins.
Operation 12 on Machine 1 duration 42 mins.
Operation 13 on Machine 12 duration 108 mins.
Operation 14 on Machine 2 duration 39 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 8 duration 9 mins.
Operation 1 on Machine 4 duration 109 mins.
Operation 2 on Machine 1 duration 27 mins.
Operation 3 on Machine 12 duration 96 mins.
Operation 4 on Machine 9 duration 72 mins.
Operation 5 on Machine 0 duration 88 mins.
Operation 6 on Machine 3 duration 106 mins.
Operation 7 on Machine 10 duration 96 mins.
Operation 8 on Machine 6 duration 93 mins.
Operation 9 on Machine 7 duration 30 mins.
Operation 10 on Machine 2 duration 88 mins.
Operation 11 on Machine 13 duration 24 mins.
Operation 12 on Machine 14 duration 84 mins.
Operation 13 on Machine 11 duration 68 mins.
Operation 14 on Machine 5 duration 100 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 17 mins.
Operation 1 on Machine 4 duration 62 mins.
Operation 2 on Machine 12 duration 33 mins.
Operation 3 on Machine 6 duration 96 mins.
Operation 4 on Machine 3 duration 44 mins.
Operation 5 on Machine 9 duration 31 mins.
Operation 6 on Machine 13 duration 2 mins.
Operation 7 on Machine 7 duration 75 mins.
Operation 8 on Machine 0 duration 28 mins.
Operation 9 on Machine 5 duration 103 mins.
Operation 10 on Machine 8 duration 54 mins.
Operation 11 on Machine 10 duration 86 mins.
Operation 12 on Machine 1 duration 25 mins.
Operation 13 on Machine 11 duration 85 mins.
Operation 14 on Machine 14 duration 107 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 35 mins.
Operation 1 on Machine 2 duration 7 mins.
Operation 2 on Machine 9 duration 55 mins.
Operation 3 on Machine 6 duration 4 mins.
Operation 4 on Machine 7 duration 9 mins.
Operation 5 on Machine 3 duration 107 mins.
Operation 6 on Machine 14 duration 74 mins.
Operation 7 on Machine 12 duration 6 mins.
Operation 8 on Machine 5 duration 92 mins.
Operation 9 on Machine 13 duration 16 mins.
Operation 10 on Machine 10 duration 37 mins.
Operation 11 on Machine 4 duration 63 mins.
Operation 12 on Machine 11 duration 33 mins.
Operation 13 on Machine 8 duration 29 mins.
Operation 14 on Machine 0 duration 37 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 16 mins.
Operation 1 on Machine 9 duration 57 mins.
Operation 2 on Machine 4 duration 11 mins.
Operation 3 on Machine 12 duration 87 mins.
Operation 4 on Machine 11 duration 6 mins.
Operation 5 on Machine 8 duration 37 mins.
Operation 6 on Machine 2 duration 95 mins.
Operation 7 on Machine 3 duration 33 mins.
Operation 8 on Machine 10 duration 12 mins.
Operation 9 on Machine 1 duration 17 mins.
Operation 10 on Machine 13 duration 106 mins.
Operation 11 on Machine 0 duration 56 mins.
Operation 12 on Machine 7 duration 75 mins.
Operation 13 on Machine 6 duration 8 mins.
Operation 14 on Machine 14 duration 86 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 78 mins.
Operation 1 on Machine 12 duration 9 mins.
Operation 2 on Machine 13 duration 85 mins.
Operation 3 on Machine 6 duration 29 mins.
Operation 4 on Machine 1 duration 84 mins.
Operation 5 on Machine 8 duration 88 mins.
Operation 6 on Machine 9 duration 6 mins.
Operation 7 on Machine 7 duration 16 mins.
Operation 8 on Machine 14 duration 21 mins.
Operation 9 on Machine 10 duration 105 mins.
Operation 10 on Machine 11 duration 22 mins.
Operation 11 on Machine 5 duration 102 mins.
Operation 12 on Machine 2 duration 34 mins.
Operation 13 on Machine 4 duration 86 mins.
Operation 14 on Machine 3 duration 72 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 8 duration 18 mins.
Operation 1 on Machine 1 duration 95 mins.
Operation 2 on Machine 10 duration 40 mins.
Operation 3 on Machine 4 duration 107 mins.
Operation 4 on Machine 0 duration 38 mins.
Operation 5 on Machine 14 duration 55 mins.
Operation 6 on Machine 2 duration 22 mins.
Operation 7 on Machine 9 duration 10 mins.
Operation 8 on Machine 5 duration 53 mins.
Operation 9 on Machine 13 duration 95 mins.
Operation 10 on Machine 7 duration 19 mins.
Operation 11 on Machine 11 duration 57 mins.
Operation 12 on Machine 3 duration 26 mins.
Operation 13 on Machine 6 duration 42 mins.
Operation 14 on Machine 12 duration 40 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 11 duration 98 mins.
Operation 1 on Machine 14 duration 10 mins.
Operation 2 on Machine 4 duration 96 mins.
Operation 3 on Machine 9 duration 78 mins.
Operation 4 on Machine 13 duration 33 mins.
Operation 5 on Machine 6 duration 51 mins.
Operation 6 on Machine 7 duration 3 mins.
Operation 7 on Machine 8 duration 92 mins.
Operation 8 on Machine 5 duration 86 mins.
Operation 9 on Machine 12 duration 3 mins.
Operation 10 on Machine 3 duration 92 mins.
Operation 11 on Machine 1 duration 54 mins.
Operation 12 on Machine 10 duration 87 mins.
Operation 13 on Machine 0 duration 105 mins.
Operation 14 on Machine 2 duration 101 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 7 duration 7 mins.
Operation 1 on Machine 3 duration 90 mins.
Operation 2 on Machine 11 duration 64 mins.
Operation 3 on Machine 5 duration 5 mins.
Operation 4 on Machine 10 duration 58 mins.
Operation 5 on Machine 1 duration 19 mins.
Operation 6 on Machine 8 duration 79 mins.
Operation 7 on Machine 4 duration 100 mins.
Operation 8 on Machine 13 duration 80 mins.
Operation 9 on Machine 12 duration 79 mins.
Operation 10 on Machine 14 duration 90 mins.
Operation 11 on Machine 0 duration 55 mins.
Operation 12 on Machine 6 duration 84 mins.
Operation 13 on Machine 2 duration 74 mins.
Operation 14 on Machine 9 duration 60 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 1 duration 71 mins.
Operation 1 on Machine 13 duration 36 mins.
Operation 2 on Machine 12 duration 99 mins.
Operation 3 on Machine 4 duration 105 mins.
Operation 4 on Machine 0 duration 29 mins.
Operation 5 on Machine 2 duration 90 mins.
Operation 6 on Machine 6 duration 111 mins.
Operation 7 on Machine 14 duration 46 mins.
Operation 8 on Machine 3 duration 19 mins.
Operation 9 on Machine 9 duration 34 mins.
Operation 10 on Machine 5 duration 17 mins.
Operation 11 on Machine 10 duration 69 mins.
Operation 12 on Machine 11 duration 6 mins.
Operation 13 on Machine 8 duration 29 mins.
Operation 14 on Machine 7 duration 89 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 5 duration 33 mins.
Operation 1 on Machine 11 duration 3 mins.
Operation 2 on Machine 3 duration 59 mins.
Operation 3 on Machine 12 duration 98 mins.
Operation 4 on Machine 13 duration 15 mins.
Operation 5 on Machine 1 duration 65 mins.
Operation 6 on Machine 7 duration 20 mins.
Operation 7 on Machine 0 duration 88 mins.
Operation 8 on Machine 8 duration 51 mins.
Operation 9 on Machine 9 duration 61 mins.
Operation 10 on Machine 6 duration 28 mins.
Operation 11 on Machine 2 duration 9 mins.
Operation 12 on Machine 14 duration 107 mins.
Operation 13 on Machine 10 duration 57 mins.
Operation 14 on Machine 4 duration 100 mins.
| null |
Optimize schedule for 15 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 64 mins.
Job 9 Operation 0 duration 78 mins.
Job 0 Operation 2 duration 110 mins.
Job 10 Operation 4 duration 38 mins.
Job 13 Operation 4 duration 29 mins.
Job 5 Operation 5 duration 88 mins.
Job 4 Operation 7 duration 91 mins.
Job 14 Operation 7 duration 88 mins.
Job 6 Operation 8 duration 28 mins.
Job 2 Operation 10 duration 1 mins.
Job 8 Operation 11 duration 56 mins.
Job 12 Operation 11 duration 55 mins.
Job 11 Operation 13 duration 105 mins.
Job 1 Operation 14 duration 91 mins.
Job 7 Operation 14 duration 37 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 0 duration 35 mins.
Job 13 Operation 0 duration 71 mins.
Job 10 Operation 1 duration 95 mins.
Job 5 Operation 2 duration 27 mins.
Job 1 Operation 3 duration 77 mins.
Job 9 Operation 4 duration 84 mins.
Job 12 Operation 5 duration 19 mins.
Job 14 Operation 5 duration 65 mins.
Job 2 Operation 7 duration 62 mins.
Job 8 Operation 9 duration 17 mins.
Job 11 Operation 11 duration 54 mins.
Job 4 Operation 12 duration 42 mins.
Job 6 Operation 12 duration 25 mins.
Job 0 Operation 13 duration 17 mins.
Job 3 Operation 13 duration 42 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 0 duration 17 mins.
Job 0 Operation 1 duration 18 mins.
Job 1 Operation 1 duration 31 mins.
Job 7 Operation 1 duration 7 mins.
Job 13 Operation 5 duration 90 mins.
Job 3 Operation 6 duration 6 mins.
Job 8 Operation 6 duration 95 mins.
Job 10 Operation 6 duration 22 mins.
Job 5 Operation 10 duration 88 mins.
Job 14 Operation 11 duration 9 mins.
Job 9 Operation 12 duration 34 mins.
Job 12 Operation 13 duration 74 mins.
Job 2 Operation 14 duration 80 mins.
Job 4 Operation 14 duration 39 mins.
Job 11 Operation 14 duration 101 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 58 mins.
Job 4 Operation 1 duration 103 mins.
Job 12 Operation 1 duration 90 mins.
Job 14 Operation 2 duration 59 mins.
Job 6 Operation 4 duration 44 mins.
Job 7 Operation 5 duration 107 mins.
Job 5 Operation 6 duration 106 mins.
Job 8 Operation 7 duration 33 mins.
Job 0 Operation 8 duration 30 mins.
Job 13 Operation 8 duration 19 mins.
Job 11 Operation 10 duration 92 mins.
Job 3 Operation 12 duration 102 mins.
Job 10 Operation 12 duration 26 mins.
Job 2 Operation 13 duration 23 mins.
Job 9 Operation 14 duration 72 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 1 duration 109 mins.
Job 6 Operation 1 duration 62 mins.
Job 2 Operation 2 duration 82 mins.
Job 8 Operation 2 duration 11 mins.
Job 11 Operation 2 duration 96 mins.
Job 10 Operation 3 duration 107 mins.
Job 13 Operation 3 duration 105 mins.
Job 12 Operation 7 duration 100 mins.
Job 1 Operation 9 duration 18 mins.
Job 3 Operation 9 duration 23 mins.
Job 4 Operation 9 duration 43 mins.
Job 0 Operation 10 duration 83 mins.
Job 7 Operation 11 duration 63 mins.
Job 9 Operation 13 duration 86 mins.
Job 14 Operation 14 duration 100 mins.
Machine 5 is used for the following Operations:
Job 8 Operation 0 duration 16 mins.
Job 14 Operation 0 duration 33 mins.
Job 0 Operation 3 duration 21 mins.
Job 12 Operation 3 duration 5 mins.
Job 1 Operation 8 duration 36 mins.
Job 3 Operation 8 duration 87 mins.
Job 7 Operation 8 duration 92 mins.
Job 10 Operation 8 duration 53 mins.
Job 11 Operation 8 duration 86 mins.
Job 6 Operation 9 duration 103 mins.
Job 4 Operation 10 duration 19 mins.
Job 13 Operation 10 duration 17 mins.
Job 9 Operation 11 duration 102 mins.
Job 2 Operation 12 duration 43 mins.
Job 5 Operation 14 duration 100 mins.
Machine 6 is used for the following Operations:
Job 4 Operation 0 duration 42 mins.
Job 3 Operation 1 duration 83 mins.
Job 2 Operation 3 duration 19 mins.
Job 6 Operation 3 duration 96 mins.
Job 7 Operation 3 duration 4 mins.
Job 9 Operation 3 duration 29 mins.
Job 1 Operation 5 duration 104 mins.
Job 11 Operation 5 duration 51 mins.
Job 0 Operation 6 duration 57 mins.
Job 13 Operation 6 duration 111 mins.
Job 5 Operation 8 duration 93 mins.
Job 14 Operation 10 duration 28 mins.
Job 12 Operation 12 duration 84 mins.
Job 8 Operation 13 duration 8 mins.
Job 10 Operation 13 duration 42 mins.
Machine 7 is used for the following Operations:
Job 12 Operation 0 duration 7 mins.
Job 3 Operation 2 duration 59 mins.
Job 4 Operation 3 duration 111 mins.
Job 1 Operation 4 duration 62 mins.
Job 7 Operation 4 duration 9 mins.
Job 11 Operation 6 duration 3 mins.
Job 14 Operation 6 duration 20 mins.
Job 6 Operation 7 duration 75 mins.
Job 9 Operation 7 duration 16 mins.
Job 2 Operation 9 duration 108 mins.
Job 5 Operation 9 duration 30 mins.
Job 10 Operation 10 duration 19 mins.
Job 0 Operation 12 duration 35 mins.
Job 8 Operation 12 duration 75 mins.
Job 13 Operation 14 duration 89 mins.
Machine 8 is used for the following Operations:
Job 2 Operation 0 duration 69 mins.
Job 5 Operation 0 duration 9 mins.
Job 10 Operation 0 duration 18 mins.
Job 4 Operation 5 duration 106 mins.
Job 8 Operation 5 duration 37 mins.
Job 9 Operation 5 duration 88 mins.
Job 12 Operation 6 duration 79 mins.
Job 1 Operation 7 duration 100 mins.
Job 11 Operation 7 duration 92 mins.
Job 14 Operation 8 duration 51 mins.
Job 0 Operation 9 duration 73 mins.
Job 3 Operation 10 duration 84 mins.
Job 6 Operation 10 duration 54 mins.
Job 7 Operation 13 duration 29 mins.
Job 13 Operation 13 duration 29 mins.
Machine 9 is used for the following Operations:
Job 8 Operation 1 duration 57 mins.
Job 7 Operation 2 duration 55 mins.
Job 11 Operation 3 duration 78 mins.
Job 5 Operation 4 duration 72 mins.
Job 6 Operation 5 duration 31 mins.
Job 2 Operation 6 duration 61 mins.
Job 4 Operation 6 duration 104 mins.
Job 9 Operation 6 duration 6 mins.
Job 10 Operation 7 duration 10 mins.
Job 13 Operation 9 duration 34 mins.
Job 14 Operation 9 duration 61 mins.
Job 0 Operation 11 duration 4 mins.
Job 1 Operation 11 duration 59 mins.
Job 3 Operation 11 duration 61 mins.
Job 12 Operation 14 duration 60 mins.
Machine 10 is used for the following Operations:
Job 10 Operation 2 duration 40 mins.
Job 12 Operation 4 duration 58 mins.
Job 2 Operation 5 duration 29 mins.
Job 3 Operation 7 duration 101 mins.
Job 5 Operation 7 duration 96 mins.
Job 4 Operation 8 duration 7 mins.
Job 8 Operation 8 duration 12 mins.
Job 9 Operation 9 duration 105 mins.
Job 7 Operation 10 duration 37 mins.
Job 6 Operation 11 duration 86 mins.
Job 13 Operation 11 duration 69 mins.
Job 1 Operation 12 duration 77 mins.
Job 11 Operation 12 duration 87 mins.
Job 14 Operation 13 duration 57 mins.
Job 0 Operation 14 duration 98 mins.
Machine 11 is used for the following Operations:
Job 11 Operation 0 duration 98 mins.
Job 14 Operation 1 duration 3 mins.
Job 1 Operation 2 duration 13 mins.
Job 12 Operation 2 duration 64 mins.
Job 4 Operation 4 duration 34 mins.
Job 8 Operation 4 duration 6 mins.
Job 3 Operation 5 duration 108 mins.
Job 0 Operation 7 duration 46 mins.
Job 2 Operation 8 duration 15 mins.
Job 9 Operation 10 duration 22 mins.
Job 10 Operation 11 duration 57 mins.
Job 7 Operation 12 duration 33 mins.
Job 13 Operation 12 duration 6 mins.
Job 5 Operation 13 duration 68 mins.
Job 6 Operation 13 duration 85 mins.
Machine 12 is used for the following Operations:
Job 0 Operation 0 duration 82 mins.
Job 9 Operation 1 duration 9 mins.
Job 6 Operation 2 duration 33 mins.
Job 13 Operation 2 duration 99 mins.
Job 5 Operation 3 duration 96 mins.
Job 8 Operation 3 duration 87 mins.
Job 14 Operation 3 duration 98 mins.
Job 2 Operation 4 duration 12 mins.
Job 3 Operation 4 duration 12 mins.
Job 7 Operation 7 duration 6 mins.
Job 11 Operation 9 duration 3 mins.
Job 12 Operation 9 duration 79 mins.
Job 1 Operation 10 duration 76 mins.
Job 4 Operation 13 duration 108 mins.
Job 10 Operation 14 duration 40 mins.
Machine 13 is used for the following Operations:
Job 13 Operation 1 duration 36 mins.
Job 4 Operation 2 duration 64 mins.
Job 9 Operation 2 duration 85 mins.
Job 3 Operation 3 duration 41 mins.
Job 0 Operation 4 duration 79 mins.
Job 11 Operation 4 duration 33 mins.
Job 14 Operation 4 duration 15 mins.
Job 1 Operation 6 duration 72 mins.
Job 6 Operation 6 duration 2 mins.
Job 12 Operation 8 duration 80 mins.
Job 7 Operation 9 duration 16 mins.
Job 10 Operation 9 duration 95 mins.
Job 8 Operation 10 duration 106 mins.
Job 2 Operation 11 duration 19 mins.
Job 5 Operation 11 duration 24 mins.
Machine 14 is used for the following Operations:
Job 2 Operation 1 duration 97 mins.
Job 11 Operation 1 duration 10 mins.
Job 0 Operation 5 duration 63 mins.
Job 10 Operation 5 duration 55 mins.
Job 7 Operation 6 duration 74 mins.
Job 13 Operation 7 duration 46 mins.
Job 9 Operation 8 duration 21 mins.
Job 12 Operation 10 duration 90 mins.
Job 4 Operation 11 duration 57 mins.
Job 5 Operation 12 duration 84 mins.
Job 14 Operation 12 duration 107 mins.
Job 1 Operation 13 duration 8 mins.
Job 3 Operation 14 duration 62 mins.
Job 6 Operation 14 duration 107 mins.
Job 8 Operation 14 duration 86 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 64 -> 64
Job 13 Operation 0 on Machine 1 : 0 + 71 -> 71
Job 6 Operation 0 on Machine 2 : 0 + 17 -> 17
Job 1 Operation 0 on Machine 3 : 0 + 58 -> 58
Job 8 Operation 0 on Machine 5 : 0 + 16 -> 16
Job 4 Operation 0 on Machine 6 : 0 + 42 -> 42
Job 12 Operation 0 on Machine 7 : 0 + 7 -> 7
Job 5 Operation 0 on Machine 8 : 0 + 9 -> 9
Job 11 Operation 0 on Machine 11 : 0 + 98 -> 98
Job 0 Operation 0 on Machine 12 : 0 + 82 -> 82
Job 5 Operation 1 on Machine 4 : 9 + 109 -> 118
Job 10 Operation 0 on Machine 8 : 9 + 18 -> 27
Job 14 Operation 0 on Machine 5 : 16 + 33 -> 49
Job 8 Operation 1 on Machine 9 : 16 + 57 -> 73
Job 2 Operation 0 on Machine 8 : 27 + 69 -> 96
Job 4 Operation 1 on Machine 3 : 58 + 103 -> 161
Job 9 Operation 0 on Machine 0 : 64 + 78 -> 142
Job 3 Operation 1 on Machine 6 : 64 + 83 -> 147
Job 7 Operation 0 on Machine 1 : 71 + 35 -> 106
Job 13 Operation 1 on Machine 13 : 71 + 36 -> 107
Job 0 Operation 1 on Machine 2 : 82 + 18 -> 100
Job 14 Operation 1 on Machine 11 : 98 + 3 -> 101
Job 11 Operation 1 on Machine 14 : 98 + 10 -> 108
Job 7 Operation 1 on Machine 2 : 106 + 7 -> 113
Job 2 Operation 1 on Machine 14 : 108 + 97 -> 205
Job 1 Operation 1 on Machine 2 : 113 + 31 -> 144
Job 7 Operation 2 on Machine 9 : 113 + 55 -> 168
Job 5 Operation 2 on Machine 1 : 118 + 27 -> 145
Job 6 Operation 1 on Machine 4 : 118 + 62 -> 180
Job 0 Operation 2 on Machine 0 : 142 + 110 -> 252
Job 9 Operation 1 on Machine 12 : 142 + 9 -> 151
Job 1 Operation 2 on Machine 11 : 144 + 13 -> 157
Job 10 Operation 1 on Machine 1 : 145 + 95 -> 240
Job 3 Operation 2 on Machine 7 : 147 + 59 -> 206
Job 5 Operation 3 on Machine 12 : 151 + 96 -> 247
Job 12 Operation 1 on Machine 3 : 161 + 90 -> 251
Job 4 Operation 2 on Machine 13 : 161 + 64 -> 225
Job 7 Operation 3 on Machine 6 : 168 + 4 -> 172
Job 8 Operation 2 on Machine 4 : 180 + 11 -> 191
Job 11 Operation 2 on Machine 4 : 191 + 96 -> 287
Job 7 Operation 4 on Machine 7 : 206 + 9 -> 215
Job 4 Operation 3 on Machine 7 : 225 + 111 -> 336
Job 3 Operation 3 on Machine 13 : 225 + 41 -> 266
Job 1 Operation 3 on Machine 1 : 240 + 77 -> 317
Job 10 Operation 2 on Machine 10 : 240 + 40 -> 280
Job 5 Operation 4 on Machine 9 : 247 + 72 -> 319
Job 6 Operation 2 on Machine 12 : 247 + 33 -> 280
Job 7 Operation 5 on Machine 3 : 251 + 107 -> 358
Job 12 Operation 2 on Machine 11 : 251 + 64 -> 315
Job 9 Operation 2 on Machine 13 : 266 + 85 -> 351
Job 6 Operation 3 on Machine 6 : 280 + 96 -> 376
Job 13 Operation 2 on Machine 12 : 280 + 99 -> 379
Job 2 Operation 2 on Machine 4 : 287 + 82 -> 369
Job 12 Operation 3 on Machine 5 : 315 + 5 -> 320
Job 5 Operation 5 on Machine 0 : 319 + 88 -> 407
Job 11 Operation 3 on Machine 9 : 319 + 78 -> 397
Job 0 Operation 3 on Machine 5 : 320 + 21 -> 341
Job 12 Operation 4 on Machine 10 : 320 + 58 -> 378
Job 1 Operation 4 on Machine 7 : 336 + 62 -> 398
Job 4 Operation 4 on Machine 11 : 336 + 34 -> 370
Job 7 Operation 6 on Machine 14 : 358 + 74 -> 432
Job 4 Operation 5 on Machine 8 : 370 + 106 -> 476
Job 6 Operation 4 on Machine 3 : 376 + 44 -> 420
Job 9 Operation 3 on Machine 6 : 376 + 29 -> 405
Job 12 Operation 5 on Machine 1 : 378 + 19 -> 397
Job 13 Operation 3 on Machine 4 : 379 + 105 -> 484
Job 3 Operation 4 on Machine 12 : 379 + 12 -> 391
Job 3 Operation 5 on Machine 11 : 391 + 108 -> 499
Job 11 Operation 4 on Machine 13 : 397 + 33 -> 430
Job 9 Operation 4 on Machine 1 : 405 + 84 -> 489
Job 2 Operation 3 on Machine 6 : 405 + 19 -> 424
Job 14 Operation 2 on Machine 3 : 420 + 59 -> 479
Job 6 Operation 5 on Machine 9 : 420 + 31 -> 451
Job 1 Operation 5 on Machine 6 : 424 + 104 -> 528
Job 2 Operation 4 on Machine 12 : 424 + 12 -> 436
Job 2 Operation 5 on Machine 10 : 436 + 29 -> 465
Job 7 Operation 7 on Machine 12 : 436 + 6 -> 442
Job 7 Operation 8 on Machine 5 : 442 + 92 -> 534
Job 8 Operation 3 on Machine 12 : 442 + 87 -> 529
Job 6 Operation 6 on Machine 13 : 451 + 2 -> 453
Job 6 Operation 7 on Machine 7 : 453 + 75 -> 528
Job 0 Operation 4 on Machine 13 : 453 + 79 -> 532
Job 12 Operation 6 on Machine 8 : 476 + 79 -> 555
Job 4 Operation 6 on Machine 9 : 476 + 104 -> 580
Job 5 Operation 6 on Machine 3 : 479 + 106 -> 585
Job 13 Operation 4 on Machine 0 : 484 + 29 -> 513
Job 10 Operation 3 on Machine 4 : 484 + 107 -> 591
Job 3 Operation 6 on Machine 2 : 499 + 6 -> 505
Job 3 Operation 7 on Machine 10 : 505 + 101 -> 606
Job 13 Operation 5 on Machine 2 : 513 + 90 -> 603
Job 6 Operation 8 on Machine 0 : 528 + 28 -> 556
Job 11 Operation 5 on Machine 6 : 528 + 51 -> 579
Job 8 Operation 4 on Machine 11 : 529 + 6 -> 535
Job 14 Operation 3 on Machine 12 : 529 + 98 -> 627
Job 1 Operation 6 on Machine 13 : 532 + 72 -> 604
Job 0 Operation 5 on Machine 14 : 532 + 63 -> 595
Job 8 Operation 5 on Machine 8 : 555 + 37 -> 592
Job 6 Operation 9 on Machine 5 : 556 + 103 -> 659
Job 11 Operation 6 on Machine 7 : 579 + 3 -> 582
Job 2 Operation 6 on Machine 9 : 580 + 61 -> 641
Job 10 Operation 4 on Machine 0 : 591 + 38 -> 629
Job 12 Operation 7 on Machine 4 : 591 + 100 -> 691
Job 9 Operation 5 on Machine 8 : 592 + 88 -> 680
Job 8 Operation 6 on Machine 2 : 603 + 95 -> 698
Job 13 Operation 6 on Machine 6 : 603 + 111 -> 714
Job 5 Operation 7 on Machine 10 : 606 + 96 -> 702
Job 14 Operation 4 on Machine 13 : 627 + 15 -> 642
Job 4 Operation 7 on Machine 0 : 629 + 91 -> 720
Job 10 Operation 5 on Machine 14 : 629 + 55 -> 684
Job 14 Operation 5 on Machine 1 : 642 + 65 -> 707
Job 3 Operation 8 on Machine 5 : 659 + 87 -> 746
Job 11 Operation 7 on Machine 8 : 680 + 92 -> 772
Job 9 Operation 6 on Machine 9 : 680 + 6 -> 686
Job 9 Operation 7 on Machine 7 : 686 + 16 -> 702
Job 12 Operation 8 on Machine 13 : 691 + 80 -> 771
Job 10 Operation 6 on Machine 2 : 698 + 22 -> 720
Job 8 Operation 7 on Machine 3 : 698 + 33 -> 731
Job 9 Operation 8 on Machine 14 : 702 + 21 -> 723
Job 2 Operation 7 on Machine 1 : 707 + 62 -> 769
Job 14 Operation 6 on Machine 7 : 707 + 20 -> 727
Job 5 Operation 8 on Machine 6 : 714 + 93 -> 807
Job 10 Operation 7 on Machine 9 : 720 + 10 -> 730
Job 4 Operation 8 on Machine 10 : 720 + 7 -> 727
Job 13 Operation 7 on Machine 14 : 723 + 46 -> 769
Job 14 Operation 7 on Machine 0 : 727 + 88 -> 815
Job 4 Operation 9 on Machine 4 : 727 + 43 -> 770
Job 8 Operation 8 on Machine 10 : 731 + 12 -> 743
Job 9 Operation 9 on Machine 10 : 743 + 105 -> 848
Job 8 Operation 9 on Machine 1 : 769 + 17 -> 786
Job 13 Operation 8 on Machine 3 : 769 + 19 -> 788
Job 2 Operation 8 on Machine 11 : 769 + 15 -> 784
Job 3 Operation 9 on Machine 4 : 770 + 23 -> 793
Job 4 Operation 10 on Machine 5 : 770 + 19 -> 789
Job 12 Operation 9 on Machine 12 : 771 + 79 -> 850
Job 6 Operation 10 on Machine 8 : 772 + 54 -> 826
Job 8 Operation 10 on Machine 13 : 786 + 106 -> 892
Job 13 Operation 9 on Machine 9 : 788 + 34 -> 822
Job 11 Operation 8 on Machine 5 : 789 + 86 -> 875
Job 4 Operation 11 on Machine 14 : 789 + 57 -> 846
Job 0 Operation 6 on Machine 6 : 807 + 57 -> 864
Job 5 Operation 9 on Machine 7 : 807 + 30 -> 837
Job 1 Operation 7 on Machine 8 : 826 + 100 -> 926
Job 5 Operation 10 on Machine 2 : 837 + 88 -> 925
Job 2 Operation 9 on Machine 7 : 837 + 108 -> 945
Job 6 Operation 11 on Machine 10 : 848 + 86 -> 934
Job 12 Operation 10 on Machine 14 : 850 + 90 -> 940
Job 0 Operation 7 on Machine 11 : 864 + 46 -> 910
Job 10 Operation 8 on Machine 5 : 875 + 53 -> 928
Job 11 Operation 9 on Machine 12 : 875 + 3 -> 878
Job 11 Operation 10 on Machine 3 : 878 + 92 -> 970
Job 8 Operation 11 on Machine 0 : 892 + 56 -> 948
Job 7 Operation 9 on Machine 13 : 892 + 16 -> 908
Job 9 Operation 10 on Machine 11 : 910 + 22 -> 932
Job 5 Operation 11 on Machine 13 : 925 + 24 -> 949
Job 14 Operation 8 on Machine 8 : 926 + 51 -> 977
Job 1 Operation 8 on Machine 5 : 928 + 36 -> 964
Job 7 Operation 10 on Machine 10 : 934 + 37 -> 971
Job 2 Operation 10 on Machine 0 : 948 + 1 -> 949
Job 8 Operation 12 on Machine 7 : 948 + 75 -> 1023
Job 12 Operation 11 on Machine 0 : 949 + 55 -> 1004
Job 2 Operation 11 on Machine 13 : 949 + 19 -> 968
Job 5 Operation 12 on Machine 14 : 949 + 84 -> 1033
Job 1 Operation 9 on Machine 4 : 964 + 18 -> 982
Job 13 Operation 10 on Machine 5 : 964 + 17 -> 981
Job 10 Operation 9 on Machine 13 : 968 + 95 -> 1063
Job 11 Operation 11 on Machine 1 : 970 + 54 -> 1024
Job 0 Operation 8 on Machine 3 : 970 + 30 -> 1000
Job 3 Operation 10 on Machine 8 : 977 + 84 -> 1061
Job 14 Operation 9 on Machine 9 : 977 + 61 -> 1038
Job 2 Operation 12 on Machine 5 : 981 + 43 -> 1024
Job 13 Operation 11 on Machine 10 : 981 + 69 -> 1050
Job 7 Operation 11 on Machine 4 : 982 + 63 -> 1045
Job 1 Operation 10 on Machine 12 : 982 + 76 -> 1058
Job 8 Operation 13 on Machine 6 : 1023 + 8 -> 1031
Job 4 Operation 12 on Machine 1 : 1024 + 42 -> 1066
Job 2 Operation 13 on Machine 3 : 1024 + 23 -> 1047
Job 9 Operation 11 on Machine 5 : 1024 + 102 -> 1126
Job 5 Operation 13 on Machine 11 : 1033 + 68 -> 1101
Job 8 Operation 14 on Machine 14 : 1033 + 86 -> 1119
Job 14 Operation 10 on Machine 6 : 1038 + 28 -> 1066
Job 11 Operation 12 on Machine 10 : 1050 + 87 -> 1137
Job 1 Operation 11 on Machine 9 : 1058 + 59 -> 1117
Job 0 Operation 9 on Machine 8 : 1061 + 73 -> 1134
Job 10 Operation 10 on Machine 7 : 1063 + 19 -> 1082
Job 6 Operation 12 on Machine 1 : 1066 + 25 -> 1091
Job 14 Operation 11 on Machine 2 : 1066 + 9 -> 1075
Job 12 Operation 12 on Machine 6 : 1066 + 84 -> 1150
Job 4 Operation 13 on Machine 12 : 1066 + 108 -> 1174
Job 2 Operation 14 on Machine 2 : 1075 + 80 -> 1155
Job 7 Operation 12 on Machine 11 : 1101 + 33 -> 1134
Job 3 Operation 11 on Machine 9 : 1117 + 61 -> 1178
Job 14 Operation 12 on Machine 14 : 1119 + 107 -> 1226
Job 5 Operation 14 on Machine 5 : 1126 + 100 -> 1226
Job 0 Operation 10 on Machine 4 : 1134 + 83 -> 1217
Job 7 Operation 13 on Machine 8 : 1134 + 29 -> 1163
Job 6 Operation 13 on Machine 11 : 1134 + 85 -> 1219
Job 11 Operation 13 on Machine 0 : 1137 + 105 -> 1242
Job 1 Operation 12 on Machine 10 : 1137 + 77 -> 1214
Job 9 Operation 12 on Machine 2 : 1155 + 34 -> 1189
Job 3 Operation 12 on Machine 3 : 1178 + 102 -> 1280
Job 12 Operation 13 on Machine 2 : 1189 + 74 -> 1263
Job 9 Operation 13 on Machine 4 : 1217 + 86 -> 1303
Job 0 Operation 11 on Machine 9 : 1217 + 4 -> 1221
Job 13 Operation 12 on Machine 11 : 1219 + 6 -> 1225
Job 0 Operation 12 on Machine 7 : 1221 + 35 -> 1256
Job 13 Operation 13 on Machine 8 : 1225 + 29 -> 1254
Job 10 Operation 11 on Machine 11 : 1225 + 57 -> 1282
Job 14 Operation 13 on Machine 10 : 1226 + 57 -> 1283
Job 1 Operation 13 on Machine 14 : 1226 + 8 -> 1234
Job 6 Operation 14 on Machine 14 : 1234 + 107 -> 1341
Job 7 Operation 14 on Machine 0 : 1242 + 37 -> 1279
Job 0 Operation 13 on Machine 1 : 1256 + 17 -> 1273
Job 13 Operation 14 on Machine 7 : 1256 + 89 -> 1345
Job 11 Operation 14 on Machine 2 : 1263 + 101 -> 1364
Job 12 Operation 14 on Machine 9 : 1263 + 60 -> 1323
Job 1 Operation 14 on Machine 0 : 1279 + 91 -> 1370
Job 3 Operation 13 on Machine 1 : 1280 + 42 -> 1322
Job 10 Operation 12 on Machine 3 : 1282 + 26 -> 1308
Job 0 Operation 14 on Machine 10 : 1283 + 98 -> 1381
Job 14 Operation 14 on Machine 4 : 1303 + 100 -> 1403
Job 9 Operation 14 on Machine 3 : 1308 + 72 -> 1380
Job 10 Operation 13 on Machine 6 : 1308 + 42 -> 1350
Job 3 Operation 14 on Machine 14 : 1341 + 62 -> 1403
Job 10 Operation 14 on Machine 12 : 1350 + 40 -> 1390
Job 4 Operation 14 on Machine 2 : 1364 + 39 -> 1403
Makespan: 1403.0, as it is the maximum end completion time of Operation 14
| null |
|
3 | 2 |
Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 179 mins.
Operation 1 on Machine 1 duration 92 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 88 mins.
Operation 1 on Machine 1 duration 269 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 21 mins.
Operation 1 on Machine 1 duration 240 mins.
| null |
Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 179 mins.
Job 1 Operation 0 duration 88 mins.
Job 2 Operation 0 duration 21 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 92 mins.
Job 1 Operation 1 duration 269 mins.
Job 2 Operation 1 duration 240 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 21 -> 21
Job 1 Operation 0 on Machine 0 : 21 + 88 -> 109
Job 2 Operation 1 on Machine 1 : 21 + 240 -> 261
Job 0 Operation 0 on Machine 0 : 109 + 179 -> 288
Job 1 Operation 1 on Machine 1 : 261 + 269 -> 530
Job 0 Operation 1 on Machine 1 : 530 + 92 -> 622
Makespan: 622.0, as it is the maximum end completion time of Operation 1
| null |
|
10 | 2 |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 114 mins.
Operation 1 on Machine 0 duration 142 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 226 mins.
Operation 1 on Machine 0 duration 352 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 124 mins.
Operation 1 on Machine 0 duration 374 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 288 mins.
Operation 1 on Machine 1 duration 48 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 162 mins.
Operation 1 on Machine 0 duration 129 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 87 mins.
Operation 1 on Machine 1 duration 257 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 49 mins.
Operation 1 on Machine 0 duration 297 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 14 mins.
Operation 1 on Machine 1 duration 219 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 358 mins.
Operation 1 on Machine 0 duration 132 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 46 mins.
Operation 1 on Machine 0 duration 323 mins.
| null |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 288 mins.
Job 5 Operation 0 duration 87 mins.
Job 7 Operation 0 duration 14 mins.
Job 0 Operation 1 duration 142 mins.
Job 1 Operation 1 duration 352 mins.
Job 2 Operation 1 duration 374 mins.
Job 4 Operation 1 duration 129 mins.
Job 6 Operation 1 duration 297 mins.
Job 8 Operation 1 duration 132 mins.
Job 9 Operation 1 duration 323 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 114 mins.
Job 1 Operation 0 duration 226 mins.
Job 2 Operation 0 duration 124 mins.
Job 4 Operation 0 duration 162 mins.
Job 6 Operation 0 duration 49 mins.
Job 8 Operation 0 duration 358 mins.
Job 9 Operation 0 duration 46 mins.
Job 3 Operation 1 duration 48 mins.
Job 5 Operation 1 duration 257 mins.
Job 7 Operation 1 duration 219 mins.
| null |
Solution:
Job 7 Operation 0 on Machine 0 : 0 + 14 -> 14
Job 9 Operation 0 on Machine 1 : 0 + 46 -> 46
Job 5 Operation 0 on Machine 0 : 14 + 87 -> 101
Job 6 Operation 0 on Machine 1 : 46 + 49 -> 95
Job 0 Operation 0 on Machine 1 : 95 + 114 -> 209
Job 3 Operation 0 on Machine 0 : 101 + 288 -> 389
Job 2 Operation 0 on Machine 1 : 209 + 124 -> 333
Job 4 Operation 0 on Machine 1 : 333 + 162 -> 495
Job 0 Operation 1 on Machine 0 : 389 + 142 -> 531
Job 3 Operation 1 on Machine 1 : 495 + 48 -> 543
Job 4 Operation 1 on Machine 0 : 531 + 129 -> 660
Job 7 Operation 1 on Machine 1 : 543 + 219 -> 762
Job 6 Operation 1 on Machine 0 : 660 + 297 -> 957
Job 1 Operation 0 on Machine 1 : 762 + 226 -> 988
Job 9 Operation 1 on Machine 0 : 957 + 323 -> 1280
Job 5 Operation 1 on Machine 1 : 988 + 257 -> 1245
Job 8 Operation 0 on Machine 1 : 1245 + 358 -> 1603
Job 1 Operation 1 on Machine 0 : 1280 + 352 -> 1632
Job 8 Operation 1 on Machine 0 : 1632 + 132 -> 1764
Job 2 Operation 1 on Machine 0 : 1764 + 374 -> 2138
Makespan: 2138.0, as it is the maximum end completion time of Operation 1
| null |
|
7 | 2 |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 81 mins.
Operation 1 on Machine 1 duration 7 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 61 mins.
Operation 1 on Machine 1 duration 25 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 45 mins.
Operation 1 on Machine 1 duration 38 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 47 mins.
Operation 1 on Machine 1 duration 23 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 83 mins.
Operation 1 on Machine 0 duration 48 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 71 mins.
Operation 1 on Machine 0 duration 16 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 56 mins.
Operation 1 on Machine 0 duration 22 mins.
| null |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 81 mins.
Job 1 Operation 0 duration 61 mins.
Job 2 Operation 0 duration 45 mins.
Job 3 Operation 0 duration 47 mins.
Job 4 Operation 1 duration 48 mins.
Job 5 Operation 1 duration 16 mins.
Job 6 Operation 1 duration 22 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 83 mins.
Job 5 Operation 0 duration 71 mins.
Job 6 Operation 0 duration 56 mins.
Job 0 Operation 1 duration 7 mins.
Job 1 Operation 1 duration 25 mins.
Job 2 Operation 1 duration 38 mins.
Job 3 Operation 1 duration 23 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 47 -> 47
Job 6 Operation 0 on Machine 1 : 0 + 56 -> 56
Job 1 Operation 0 on Machine 0 : 47 + 61 -> 108
Job 3 Operation 1 on Machine 1 : 56 + 23 -> 79
Job 5 Operation 0 on Machine 1 : 79 + 71 -> 150
Job 2 Operation 0 on Machine 0 : 108 + 45 -> 153
Job 1 Operation 1 on Machine 1 : 150 + 25 -> 175
Job 5 Operation 1 on Machine 0 : 153 + 16 -> 169
Job 6 Operation 1 on Machine 0 : 169 + 22 -> 191
Job 4 Operation 0 on Machine 1 : 175 + 83 -> 258
Job 0 Operation 0 on Machine 0 : 191 + 81 -> 272
Job 2 Operation 1 on Machine 1 : 258 + 38 -> 296
Job 4 Operation 1 on Machine 0 : 272 + 48 -> 320
Job 0 Operation 1 on Machine 1 : 296 + 7 -> 303
Makespan: 320.0, as it is the maximum end completion time of Operation 1
| null |
|
6 | 4 |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 2 mins.
Operation 1 on Machine 3 duration 7 mins.
Operation 2 on Machine 2 duration 8 mins.
Operation 3 on Machine 0 duration 16 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 7 mins.
Operation 1 on Machine 2 duration 12 mins.
Operation 2 on Machine 0 duration 11 mins.
Operation 3 on Machine 1 duration 17 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 0 duration 15 mins.
Operation 2 on Machine 1 duration 6 mins.
Operation 3 on Machine 3 duration 9 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 15 mins.
Operation 1 on Machine 3 duration 4 mins.
Operation 2 on Machine 0 duration 1 mins.
Operation 3 on Machine 1 duration 13 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 1 duration 11 mins.
Operation 2 on Machine 3 duration 16 mins.
Operation 3 on Machine 0 duration 17 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 7 mins.
Operation 1 on Machine 0 duration 10 mins.
Operation 2 on Machine 1 duration 15 mins.
Operation 3 on Machine 3 duration 1 mins.
| null |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 1 duration 15 mins.
Job 5 Operation 1 duration 10 mins.
Job 1 Operation 2 duration 11 mins.
Job 3 Operation 2 duration 1 mins.
Job 0 Operation 3 duration 16 mins.
Job 4 Operation 3 duration 17 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 2 mins.
Job 4 Operation 1 duration 11 mins.
Job 2 Operation 2 duration 6 mins.
Job 5 Operation 2 duration 15 mins.
Job 1 Operation 3 duration 17 mins.
Job 3 Operation 3 duration 13 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 4 mins.
Job 3 Operation 0 duration 15 mins.
Job 4 Operation 0 duration 4 mins.
Job 5 Operation 0 duration 7 mins.
Job 1 Operation 1 duration 12 mins.
Job 0 Operation 2 duration 8 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 7 mins.
Job 0 Operation 1 duration 7 mins.
Job 3 Operation 1 duration 4 mins.
Job 4 Operation 2 duration 16 mins.
Job 2 Operation 3 duration 9 mins.
Job 5 Operation 3 duration 1 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 1 : 0 + 2 -> 2
Job 2 Operation 0 on Machine 2 : 0 + 4 -> 4
Job 1 Operation 0 on Machine 3 : 0 + 7 -> 7
Job 2 Operation 1 on Machine 0 : 4 + 15 -> 19
Job 4 Operation 0 on Machine 2 : 4 + 4 -> 8
Job 0 Operation 1 on Machine 3 : 7 + 7 -> 14
Job 4 Operation 1 on Machine 1 : 8 + 11 -> 19
Job 5 Operation 0 on Machine 2 : 8 + 7 -> 15
Job 1 Operation 1 on Machine 2 : 15 + 12 -> 27
Job 5 Operation 1 on Machine 0 : 19 + 10 -> 29
Job 2 Operation 2 on Machine 1 : 19 + 6 -> 25
Job 4 Operation 2 on Machine 3 : 19 + 16 -> 35
Job 3 Operation 0 on Machine 2 : 27 + 15 -> 42
Job 1 Operation 2 on Machine 0 : 29 + 11 -> 40
Job 5 Operation 2 on Machine 1 : 29 + 15 -> 44
Job 4 Operation 3 on Machine 0 : 40 + 17 -> 57
Job 0 Operation 2 on Machine 2 : 42 + 8 -> 50
Job 3 Operation 1 on Machine 3 : 42 + 4 -> 46
Job 1 Operation 3 on Machine 1 : 44 + 17 -> 61
Job 5 Operation 3 on Machine 3 : 46 + 1 -> 47
Job 2 Operation 3 on Machine 3 : 47 + 9 -> 56
Job 3 Operation 2 on Machine 0 : 57 + 1 -> 58
Job 0 Operation 3 on Machine 0 : 58 + 16 -> 74
Job 3 Operation 3 on Machine 1 : 61 + 13 -> 74
Makespan: 74.0, as it is the maximum end completion time of Operation 3
| null |
|
9 | 8 |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 60 mins.
Operation 1 on Machine 6 duration 208 mins.
Operation 2 on Machine 1 duration 124 mins.
Operation 3 on Machine 4 duration 32 mins.
Operation 4 on Machine 0 duration 168 mins.
Operation 5 on Machine 2 duration 139 mins.
Operation 6 on Machine 3 duration 84 mins.
Operation 7 on Machine 7 duration 215 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 86 mins.
Operation 1 on Machine 6 duration 45 mins.
Operation 2 on Machine 5 duration 28 mins.
Operation 3 on Machine 7 duration 200 mins.
Operation 4 on Machine 3 duration 252 mins.
Operation 5 on Machine 0 duration 32 mins.
Operation 6 on Machine 2 duration 115 mins.
Operation 7 on Machine 1 duration 57 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 167 mins.
Operation 1 on Machine 2 duration 256 mins.
Operation 2 on Machine 5 duration 21 mins.
Operation 3 on Machine 4 duration 135 mins.
Operation 4 on Machine 6 duration 111 mins.
Operation 5 on Machine 1 duration 148 mins.
Operation 6 on Machine 0 duration 154 mins.
Operation 7 on Machine 3 duration 181 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 212 mins.
Operation 1 on Machine 1 duration 176 mins.
Operation 2 on Machine 2 duration 95 mins.
Operation 3 on Machine 7 duration 73 mins.
Operation 4 on Machine 3 duration 79 mins.
Operation 5 on Machine 6 duration 95 mins.
Operation 6 on Machine 5 duration 217 mins.
Operation 7 on Machine 0 duration 230 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 20 mins.
Operation 1 on Machine 5 duration 182 mins.
Operation 2 on Machine 7 duration 181 mins.
Operation 3 on Machine 4 duration 180 mins.
Operation 4 on Machine 2 duration 186 mins.
Operation 5 on Machine 1 duration 176 mins.
Operation 6 on Machine 6 duration 138 mins.
Operation 7 on Machine 3 duration 249 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 134 mins.
Operation 1 on Machine 3 duration 226 mins.
Operation 2 on Machine 4 duration 122 mins.
Operation 3 on Machine 7 duration 252 mins.
Operation 4 on Machine 6 duration 15 mins.
Operation 5 on Machine 1 duration 22 mins.
Operation 6 on Machine 2 duration 70 mins.
Operation 7 on Machine 0 duration 30 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 1 mins.
Operation 1 on Machine 1 duration 74 mins.
Operation 2 on Machine 0 duration 177 mins.
Operation 3 on Machine 6 duration 26 mins.
Operation 4 on Machine 3 duration 124 mins.
Operation 5 on Machine 4 duration 110 mins.
Operation 6 on Machine 2 duration 139 mins.
Operation 7 on Machine 7 duration 204 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 187 mins.
Operation 1 on Machine 3 duration 193 mins.
Operation 2 on Machine 5 duration 173 mins.
Operation 3 on Machine 7 duration 218 mins.
Operation 4 on Machine 4 duration 178 mins.
Operation 5 on Machine 0 duration 183 mins.
Operation 6 on Machine 1 duration 120 mins.
Operation 7 on Machine 2 duration 40 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 69 mins.
Operation 1 on Machine 6 duration 75 mins.
Operation 2 on Machine 3 duration 141 mins.
Operation 3 on Machine 7 duration 2 mins.
Operation 4 on Machine 5 duration 125 mins.
Operation 5 on Machine 4 duration 8 mins.
Operation 6 on Machine 2 duration 246 mins.
Operation 7 on Machine 1 duration 182 mins.
| null |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 20 mins.
Job 8 Operation 0 duration 69 mins.
Job 6 Operation 2 duration 177 mins.
Job 0 Operation 4 duration 168 mins.
Job 1 Operation 5 duration 32 mins.
Job 7 Operation 5 duration 183 mins.
Job 2 Operation 6 duration 154 mins.
Job 3 Operation 7 duration 230 mins.
Job 5 Operation 7 duration 30 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 1 duration 176 mins.
Job 6 Operation 1 duration 74 mins.
Job 0 Operation 2 duration 124 mins.
Job 2 Operation 5 duration 148 mins.
Job 4 Operation 5 duration 176 mins.
Job 5 Operation 5 duration 22 mins.
Job 7 Operation 6 duration 120 mins.
Job 1 Operation 7 duration 57 mins.
Job 8 Operation 7 duration 182 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 1 duration 256 mins.
Job 3 Operation 2 duration 95 mins.
Job 4 Operation 4 duration 186 mins.
Job 0 Operation 5 duration 139 mins.
Job 1 Operation 6 duration 115 mins.
Job 5 Operation 6 duration 70 mins.
Job 6 Operation 6 duration 139 mins.
Job 8 Operation 6 duration 246 mins.
Job 7 Operation 7 duration 40 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 1 duration 226 mins.
Job 7 Operation 1 duration 193 mins.
Job 8 Operation 2 duration 141 mins.
Job 1 Operation 4 duration 252 mins.
Job 3 Operation 4 duration 79 mins.
Job 6 Operation 4 duration 124 mins.
Job 0 Operation 6 duration 84 mins.
Job 2 Operation 7 duration 181 mins.
Job 4 Operation 7 duration 249 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 86 mins.
Job 3 Operation 0 duration 212 mins.
Job 5 Operation 2 duration 122 mins.
Job 0 Operation 3 duration 32 mins.
Job 2 Operation 3 duration 135 mins.
Job 4 Operation 3 duration 180 mins.
Job 7 Operation 4 duration 178 mins.
Job 6 Operation 5 duration 110 mins.
Job 8 Operation 5 duration 8 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 60 mins.
Job 5 Operation 0 duration 134 mins.
Job 6 Operation 0 duration 1 mins.
Job 4 Operation 1 duration 182 mins.
Job 1 Operation 2 duration 28 mins.
Job 2 Operation 2 duration 21 mins.
Job 7 Operation 2 duration 173 mins.
Job 8 Operation 4 duration 125 mins.
Job 3 Operation 6 duration 217 mins.
Machine 6 is used for the following Operations:
Job 7 Operation 0 duration 187 mins.
Job 0 Operation 1 duration 208 mins.
Job 1 Operation 1 duration 45 mins.
Job 8 Operation 1 duration 75 mins.
Job 6 Operation 3 duration 26 mins.
Job 2 Operation 4 duration 111 mins.
Job 5 Operation 4 duration 15 mins.
Job 3 Operation 5 duration 95 mins.
Job 4 Operation 6 duration 138 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 167 mins.
Job 4 Operation 2 duration 181 mins.
Job 1 Operation 3 duration 200 mins.
Job 3 Operation 3 duration 73 mins.
Job 5 Operation 3 duration 252 mins.
Job 7 Operation 3 duration 218 mins.
Job 8 Operation 3 duration 2 mins.
Job 0 Operation 7 duration 215 mins.
Job 6 Operation 7 duration 204 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 69 -> 69
Job 1 Operation 0 on Machine 4 : 0 + 86 -> 86
Job 5 Operation 0 on Machine 5 : 0 + 134 -> 134
Job 2 Operation 0 on Machine 7 : 0 + 167 -> 167
Job 4 Operation 0 on Machine 0 : 69 + 20 -> 89
Job 3 Operation 0 on Machine 4 : 86 + 212 -> 298
Job 1 Operation 1 on Machine 6 : 86 + 45 -> 131
Job 7 Operation 0 on Machine 6 : 131 + 187 -> 318
Job 5 Operation 1 on Machine 3 : 134 + 226 -> 360
Job 1 Operation 2 on Machine 5 : 134 + 28 -> 162
Job 6 Operation 0 on Machine 5 : 162 + 1 -> 163
Job 6 Operation 1 on Machine 1 : 163 + 74 -> 237
Job 4 Operation 1 on Machine 5 : 163 + 182 -> 345
Job 2 Operation 1 on Machine 2 : 167 + 256 -> 423
Job 1 Operation 3 on Machine 7 : 167 + 200 -> 367
Job 6 Operation 2 on Machine 0 : 237 + 177 -> 414
Job 3 Operation 1 on Machine 1 : 298 + 176 -> 474
Job 8 Operation 1 on Machine 6 : 318 + 75 -> 393
Job 0 Operation 0 on Machine 5 : 345 + 60 -> 405
Job 7 Operation 1 on Machine 3 : 360 + 193 -> 553
Job 4 Operation 2 on Machine 7 : 367 + 181 -> 548
Job 0 Operation 1 on Machine 6 : 405 + 208 -> 613
Job 2 Operation 2 on Machine 5 : 423 + 21 -> 444
Job 2 Operation 3 on Machine 4 : 444 + 135 -> 579
Job 3 Operation 2 on Machine 2 : 474 + 95 -> 569
Job 8 Operation 2 on Machine 3 : 553 + 141 -> 694
Job 7 Operation 2 on Machine 5 : 553 + 173 -> 726
Job 3 Operation 3 on Machine 7 : 569 + 73 -> 642
Job 4 Operation 3 on Machine 4 : 579 + 180 -> 759
Job 0 Operation 2 on Machine 1 : 613 + 124 -> 737
Job 6 Operation 3 on Machine 6 : 613 + 26 -> 639
Job 2 Operation 4 on Machine 6 : 639 + 111 -> 750
Job 6 Operation 4 on Machine 3 : 694 + 124 -> 818
Job 8 Operation 3 on Machine 7 : 694 + 2 -> 696
Job 8 Operation 4 on Machine 5 : 726 + 125 -> 851
Job 7 Operation 3 on Machine 7 : 726 + 218 -> 944
Job 2 Operation 5 on Machine 1 : 750 + 148 -> 898
Job 4 Operation 4 on Machine 2 : 759 + 186 -> 945
Job 0 Operation 3 on Machine 4 : 759 + 32 -> 791
Job 0 Operation 4 on Machine 0 : 791 + 168 -> 959
Job 3 Operation 4 on Machine 3 : 818 + 79 -> 897
Job 8 Operation 5 on Machine 4 : 851 + 8 -> 859
Job 5 Operation 2 on Machine 4 : 859 + 122 -> 981
Job 1 Operation 4 on Machine 3 : 897 + 252 -> 1149
Job 3 Operation 5 on Machine 6 : 897 + 95 -> 992
Job 4 Operation 5 on Machine 1 : 945 + 176 -> 1121
Job 2 Operation 6 on Machine 0 : 959 + 154 -> 1113
Job 0 Operation 5 on Machine 2 : 959 + 139 -> 1098
Job 7 Operation 4 on Machine 4 : 981 + 178 -> 1159
Job 5 Operation 3 on Machine 7 : 981 + 252 -> 1233
Job 3 Operation 6 on Machine 5 : 992 + 217 -> 1209
Job 8 Operation 6 on Machine 2 : 1098 + 246 -> 1344
Job 1 Operation 5 on Machine 0 : 1149 + 32 -> 1181
Job 0 Operation 6 on Machine 3 : 1149 + 84 -> 1233
Job 6 Operation 5 on Machine 4 : 1159 + 110 -> 1269
Job 7 Operation 5 on Machine 0 : 1181 + 183 -> 1364
Job 2 Operation 7 on Machine 3 : 1233 + 181 -> 1414
Job 5 Operation 4 on Machine 6 : 1233 + 15 -> 1248
Job 0 Operation 7 on Machine 7 : 1233 + 215 -> 1448
Job 5 Operation 5 on Machine 1 : 1248 + 22 -> 1270
Job 4 Operation 6 on Machine 6 : 1248 + 138 -> 1386
Job 8 Operation 7 on Machine 1 : 1344 + 182 -> 1526
Job 6 Operation 6 on Machine 2 : 1344 + 139 -> 1483
Job 3 Operation 7 on Machine 0 : 1364 + 230 -> 1594
Job 4 Operation 7 on Machine 3 : 1414 + 249 -> 1663
Job 1 Operation 6 on Machine 2 : 1483 + 115 -> 1598
Job 6 Operation 7 on Machine 7 : 1483 + 204 -> 1687
Job 7 Operation 6 on Machine 1 : 1526 + 120 -> 1646
Job 5 Operation 6 on Machine 2 : 1598 + 70 -> 1668
Job 1 Operation 7 on Machine 1 : 1646 + 57 -> 1703
Job 5 Operation 7 on Machine 0 : 1668 + 30 -> 1698
Job 7 Operation 7 on Machine 2 : 1668 + 40 -> 1708
Makespan: 1708.0, as it is the maximum end completion time of Operation 7
| null |
|
4 | 3 |
Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 348 mins.
Operation 1 on Machine 1 duration 40 mins.
Operation 2 on Machine 0 duration 206 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 304 mins.
Operation 1 on Machine 2 duration 345 mins.
Operation 2 on Machine 0 duration 210 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 195 mins.
Operation 1 on Machine 2 duration 15 mins.
Operation 2 on Machine 1 duration 147 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 207 mins.
Operation 1 on Machine 2 duration 52 mins.
Operation 2 on Machine 1 duration 339 mins.
| null |
Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 195 mins.
Job 3 Operation 0 duration 207 mins.
Job 0 Operation 2 duration 206 mins.
Job 1 Operation 2 duration 210 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 304 mins.
Job 0 Operation 1 duration 40 mins.
Job 2 Operation 2 duration 147 mins.
Job 3 Operation 2 duration 339 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 348 mins.
Job 1 Operation 1 duration 345 mins.
Job 2 Operation 1 duration 15 mins.
Job 3 Operation 1 duration 52 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 207 -> 207
Job 1 Operation 0 on Machine 1 : 0 + 304 -> 304
Job 0 Operation 0 on Machine 2 : 0 + 348 -> 348
Job 2 Operation 0 on Machine 0 : 207 + 195 -> 402
Job 0 Operation 1 on Machine 1 : 348 + 40 -> 388
Job 3 Operation 1 on Machine 2 : 348 + 52 -> 400
Job 3 Operation 2 on Machine 1 : 400 + 339 -> 739
Job 1 Operation 1 on Machine 2 : 400 + 345 -> 745
Job 0 Operation 2 on Machine 0 : 402 + 206 -> 608
Job 1 Operation 2 on Machine 0 : 745 + 210 -> 955
Job 2 Operation 1 on Machine 2 : 745 + 15 -> 760
Job 2 Operation 2 on Machine 1 : 760 + 147 -> 907
Makespan: 955.0, as it is the maximum end completion time of Operation 2
| null |
|
10 | 3 |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 297 mins.
Operation 1 on Machine 2 duration 357 mins.
Operation 2 on Machine 1 duration 269 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 303 mins.
Operation 1 on Machine 1 duration 276 mins.
Operation 2 on Machine 2 duration 185 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 188 mins.
Operation 1 on Machine 1 duration 185 mins.
Operation 2 on Machine 2 duration 250 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 51 mins.
Operation 1 on Machine 0 duration 170 mins.
Operation 2 on Machine 2 duration 83 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 44 mins.
Operation 1 on Machine 1 duration 328 mins.
Operation 2 on Machine 2 duration 322 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 102 mins.
Operation 1 on Machine 0 duration 203 mins.
Operation 2 on Machine 2 duration 176 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 200 mins.
Operation 1 on Machine 1 duration 28 mins.
Operation 2 on Machine 2 duration 140 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 164 mins.
Operation 1 on Machine 2 duration 150 mins.
Operation 2 on Machine 0 duration 110 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 26 mins.
Operation 1 on Machine 1 duration 180 mins.
Operation 2 on Machine 2 duration 106 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 155 mins.
Operation 1 on Machine 2 duration 383 mins.
Operation 2 on Machine 1 duration 339 mins.
| null |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 297 mins.
Job 1 Operation 0 duration 303 mins.
Job 2 Operation 0 duration 188 mins.
Job 4 Operation 0 duration 44 mins.
Job 6 Operation 0 duration 200 mins.
Job 8 Operation 0 duration 26 mins.
Job 9 Operation 0 duration 155 mins.
Job 3 Operation 1 duration 170 mins.
Job 5 Operation 1 duration 203 mins.
Job 7 Operation 2 duration 110 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 51 mins.
Job 5 Operation 0 duration 102 mins.
Job 7 Operation 0 duration 164 mins.
Job 1 Operation 1 duration 276 mins.
Job 2 Operation 1 duration 185 mins.
Job 4 Operation 1 duration 328 mins.
Job 6 Operation 1 duration 28 mins.
Job 8 Operation 1 duration 180 mins.
Job 0 Operation 2 duration 269 mins.
Job 9 Operation 2 duration 339 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 357 mins.
Job 7 Operation 1 duration 150 mins.
Job 9 Operation 1 duration 383 mins.
Job 1 Operation 2 duration 185 mins.
Job 2 Operation 2 duration 250 mins.
Job 3 Operation 2 duration 83 mins.
Job 4 Operation 2 duration 322 mins.
Job 5 Operation 2 duration 176 mins.
Job 6 Operation 2 duration 140 mins.
Job 8 Operation 2 duration 106 mins.
| null |
Solution:
Job 9 Operation 0 on Machine 0 : 0 + 155 -> 155
Job 7 Operation 0 on Machine 1 : 0 + 164 -> 164
Job 8 Operation 0 on Machine 0 : 155 + 26 -> 181
Job 9 Operation 1 on Machine 2 : 155 + 383 -> 538
Job 5 Operation 0 on Machine 1 : 164 + 102 -> 266
Job 6 Operation 0 on Machine 0 : 181 + 200 -> 381
Job 8 Operation 1 on Machine 1 : 266 + 180 -> 446
Job 5 Operation 1 on Machine 0 : 381 + 203 -> 584
Job 6 Operation 1 on Machine 1 : 446 + 28 -> 474
Job 3 Operation 0 on Machine 1 : 474 + 51 -> 525
Job 6 Operation 2 on Machine 2 : 538 + 140 -> 678
Job 2 Operation 0 on Machine 0 : 584 + 188 -> 772
Job 7 Operation 1 on Machine 2 : 678 + 150 -> 828
Job 0 Operation 0 on Machine 0 : 772 + 297 -> 1069
Job 2 Operation 1 on Machine 1 : 772 + 185 -> 957
Job 5 Operation 2 on Machine 2 : 828 + 176 -> 1004
Job 9 Operation 2 on Machine 1 : 957 + 339 -> 1296
Job 2 Operation 2 on Machine 2 : 1004 + 250 -> 1254
Job 4 Operation 0 on Machine 0 : 1069 + 44 -> 1113
Job 3 Operation 1 on Machine 0 : 1113 + 170 -> 1283
Job 8 Operation 2 on Machine 2 : 1254 + 106 -> 1360
Job 1 Operation 0 on Machine 0 : 1283 + 303 -> 1586
Job 4 Operation 1 on Machine 1 : 1296 + 328 -> 1624
Job 3 Operation 2 on Machine 2 : 1360 + 83 -> 1443
Job 0 Operation 1 on Machine 2 : 1443 + 357 -> 1800
Job 7 Operation 2 on Machine 0 : 1586 + 110 -> 1696
Job 1 Operation 1 on Machine 1 : 1624 + 276 -> 1900
Job 4 Operation 2 on Machine 2 : 1800 + 322 -> 2122
Job 0 Operation 2 on Machine 1 : 1900 + 269 -> 2169
Job 1 Operation 2 on Machine 2 : 2122 + 185 -> 2307
Makespan: 2307.0, as it is the maximum end completion time of Operation 2
| null |
|
9 | 6 |
Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 113 mins.
Operation 1 on Machine 2 duration 142 mins.
Operation 2 on Machine 5 duration 160 mins.
Operation 3 on Machine 1 duration 198 mins.
Operation 4 on Machine 0 duration 183 mins.
Operation 5 on Machine 3 duration 150 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 83 mins.
Operation 1 on Machine 2 duration 69 mins.
Operation 2 on Machine 0 duration 28 mins.
Operation 3 on Machine 4 duration 184 mins.
Operation 4 on Machine 1 duration 200 mins.
Operation 5 on Machine 5 duration 126 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 201 mins.
Operation 1 on Machine 0 duration 30 mins.
Operation 2 on Machine 2 duration 162 mins.
Operation 3 on Machine 4 duration 77 mins.
Operation 4 on Machine 3 duration 114 mins.
Operation 5 on Machine 1 duration 158 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 131 mins.
Operation 1 on Machine 3 duration 90 mins.
Operation 2 on Machine 4 duration 84 mins.
Operation 3 on Machine 0 duration 74 mins.
Operation 4 on Machine 5 duration 23 mins.
Operation 5 on Machine 2 duration 27 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 116 mins.
Operation 1 on Machine 1 duration 13 mins.
Operation 2 on Machine 0 duration 171 mins.
Operation 3 on Machine 2 duration 141 mins.
Operation 4 on Machine 4 duration 127 mins.
Operation 5 on Machine 3 duration 56 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 165 mins.
Operation 1 on Machine 5 duration 23 mins.
Operation 2 on Machine 1 duration 119 mins.
Operation 3 on Machine 4 duration 28 mins.
Operation 4 on Machine 3 duration 5 mins.
Operation 5 on Machine 0 duration 130 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 69 mins.
Operation 1 on Machine 4 duration 163 mins.
Operation 2 on Machine 2 duration 21 mins.
Operation 3 on Machine 1 duration 44 mins.
Operation 4 on Machine 5 duration 83 mins.
Operation 5 on Machine 0 duration 61 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 68 mins.
Operation 1 on Machine 5 duration 159 mins.
Operation 2 on Machine 3 duration 182 mins.
Operation 3 on Machine 0 duration 81 mins.
Operation 4 on Machine 1 duration 88 mins.
Operation 5 on Machine 4 duration 181 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 158 mins.
Operation 1 on Machine 5 duration 137 mins.
Operation 2 on Machine 2 duration 6 mins.
Operation 3 on Machine 3 duration 154 mins.
Operation 4 on Machine 1 duration 199 mins.
Operation 5 on Machine 0 duration 38 mins.
| null |
Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 1 duration 30 mins.
Job 1 Operation 2 duration 28 mins.
Job 4 Operation 2 duration 171 mins.
Job 3 Operation 3 duration 74 mins.
Job 7 Operation 3 duration 81 mins.
Job 0 Operation 4 duration 183 mins.
Job 5 Operation 5 duration 130 mins.
Job 6 Operation 5 duration 61 mins.
Job 8 Operation 5 duration 38 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 131 mins.
Job 4 Operation 1 duration 13 mins.
Job 5 Operation 2 duration 119 mins.
Job 0 Operation 3 duration 198 mins.
Job 6 Operation 3 duration 44 mins.
Job 1 Operation 4 duration 200 mins.
Job 7 Operation 4 duration 88 mins.
Job 8 Operation 4 duration 199 mins.
Job 2 Operation 5 duration 158 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 165 mins.
Job 7 Operation 0 duration 68 mins.
Job 0 Operation 1 duration 142 mins.
Job 1 Operation 1 duration 69 mins.
Job 2 Operation 2 duration 162 mins.
Job 6 Operation 2 duration 21 mins.
Job 8 Operation 2 duration 6 mins.
Job 4 Operation 3 duration 141 mins.
Job 3 Operation 5 duration 27 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 83 mins.
Job 6 Operation 0 duration 69 mins.
Job 3 Operation 1 duration 90 mins.
Job 7 Operation 2 duration 182 mins.
Job 8 Operation 3 duration 154 mins.
Job 2 Operation 4 duration 114 mins.
Job 5 Operation 4 duration 5 mins.
Job 0 Operation 5 duration 150 mins.
Job 4 Operation 5 duration 56 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 113 mins.
Job 8 Operation 0 duration 158 mins.
Job 6 Operation 1 duration 163 mins.
Job 3 Operation 2 duration 84 mins.
Job 1 Operation 3 duration 184 mins.
Job 2 Operation 3 duration 77 mins.
Job 5 Operation 3 duration 28 mins.
Job 4 Operation 4 duration 127 mins.
Job 7 Operation 5 duration 181 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 201 mins.
Job 4 Operation 0 duration 116 mins.
Job 5 Operation 1 duration 23 mins.
Job 7 Operation 1 duration 159 mins.
Job 8 Operation 1 duration 137 mins.
Job 0 Operation 2 duration 160 mins.
Job 3 Operation 4 duration 23 mins.
Job 6 Operation 4 duration 83 mins.
Job 1 Operation 5 duration 126 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 1 : 0 + 131 -> 131
Job 5 Operation 0 on Machine 2 : 0 + 165 -> 165
Job 6 Operation 0 on Machine 3 : 0 + 69 -> 69
Job 0 Operation 0 on Machine 4 : 0 + 113 -> 113
Job 2 Operation 0 on Machine 5 : 0 + 201 -> 201
Job 1 Operation 0 on Machine 3 : 69 + 83 -> 152
Job 6 Operation 1 on Machine 4 : 113 + 163 -> 276
Job 3 Operation 1 on Machine 3 : 152 + 90 -> 242
Job 1 Operation 1 on Machine 2 : 165 + 69 -> 234
Job 2 Operation 1 on Machine 0 : 201 + 30 -> 231
Job 5 Operation 1 on Machine 5 : 201 + 23 -> 224
Job 5 Operation 2 on Machine 1 : 224 + 119 -> 343
Job 4 Operation 0 on Machine 5 : 224 + 116 -> 340
Job 1 Operation 2 on Machine 0 : 234 + 28 -> 262
Job 7 Operation 0 on Machine 2 : 234 + 68 -> 302
Job 1 Operation 3 on Machine 4 : 276 + 184 -> 460
Job 6 Operation 2 on Machine 2 : 302 + 21 -> 323
Job 0 Operation 1 on Machine 2 : 323 + 142 -> 465
Job 7 Operation 1 on Machine 5 : 340 + 159 -> 499
Job 4 Operation 1 on Machine 1 : 343 + 13 -> 356
Job 4 Operation 2 on Machine 0 : 356 + 171 -> 527
Job 6 Operation 3 on Machine 1 : 356 + 44 -> 400
Job 1 Operation 4 on Machine 1 : 460 + 200 -> 660
Job 8 Operation 0 on Machine 4 : 460 + 158 -> 618
Job 2 Operation 2 on Machine 2 : 465 + 162 -> 627
Job 7 Operation 2 on Machine 3 : 499 + 182 -> 681
Job 0 Operation 2 on Machine 5 : 499 + 160 -> 659
Job 3 Operation 2 on Machine 4 : 618 + 84 -> 702
Job 8 Operation 1 on Machine 5 : 659 + 137 -> 796
Job 0 Operation 3 on Machine 1 : 660 + 198 -> 858
Job 7 Operation 3 on Machine 0 : 681 + 81 -> 762
Job 5 Operation 3 on Machine 4 : 702 + 28 -> 730
Job 2 Operation 3 on Machine 4 : 730 + 77 -> 807
Job 3 Operation 3 on Machine 0 : 762 + 74 -> 836
Job 8 Operation 2 on Machine 2 : 796 + 6 -> 802
Job 4 Operation 3 on Machine 2 : 802 + 141 -> 943
Job 8 Operation 3 on Machine 3 : 802 + 154 -> 956
Job 3 Operation 4 on Machine 5 : 836 + 23 -> 859
Job 0 Operation 4 on Machine 0 : 858 + 183 -> 1041
Job 7 Operation 4 on Machine 1 : 858 + 88 -> 946
Job 1 Operation 5 on Machine 5 : 859 + 126 -> 985
Job 3 Operation 5 on Machine 2 : 943 + 27 -> 970
Job 4 Operation 4 on Machine 4 : 943 + 127 -> 1070
Job 8 Operation 4 on Machine 1 : 956 + 199 -> 1155
Job 5 Operation 4 on Machine 3 : 956 + 5 -> 961
Job 2 Operation 4 on Machine 3 : 961 + 114 -> 1075
Job 6 Operation 4 on Machine 5 : 985 + 83 -> 1068
Job 5 Operation 5 on Machine 0 : 1041 + 130 -> 1171
Job 7 Operation 5 on Machine 4 : 1070 + 181 -> 1251
Job 4 Operation 5 on Machine 3 : 1075 + 56 -> 1131
Job 0 Operation 5 on Machine 3 : 1131 + 150 -> 1281
Job 2 Operation 5 on Machine 1 : 1155 + 158 -> 1313
Job 6 Operation 5 on Machine 0 : 1171 + 61 -> 1232
Job 8 Operation 5 on Machine 0 : 1232 + 38 -> 1270
Makespan: 1313.0, as it is the maximum end completion time of Operation 5
| null |
|
8 | 4 |
Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 141 mins.
Operation 1 on Machine 3 duration 15 mins.
Operation 2 on Machine 2 duration 291 mins.
Operation 3 on Machine 0 duration 305 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 113 mins.
Operation 1 on Machine 1 duration 244 mins.
Operation 2 on Machine 3 duration 70 mins.
Operation 3 on Machine 0 duration 211 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 208 mins.
Operation 1 on Machine 2 duration 153 mins.
Operation 2 on Machine 3 duration 307 mins.
Operation 3 on Machine 1 duration 23 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 246 mins.
Operation 1 on Machine 1 duration 82 mins.
Operation 2 on Machine 2 duration 347 mins.
Operation 3 on Machine 0 duration 340 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 191 mins.
Operation 1 on Machine 0 duration 282 mins.
Operation 2 on Machine 2 duration 81 mins.
Operation 3 on Machine 3 duration 243 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 210 mins.
Operation 1 on Machine 1 duration 351 mins.
Operation 2 on Machine 0 duration 343 mins.
Operation 3 on Machine 3 duration 106 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 354 mins.
Operation 1 on Machine 2 duration 361 mins.
Operation 2 on Machine 3 duration 269 mins.
Operation 3 on Machine 1 duration 48 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 70 mins.
Operation 1 on Machine 0 duration 150 mins.
Operation 2 on Machine 3 duration 175 mins.
Operation 3 on Machine 1 duration 103 mins.
| null |
Optimize schedule for 8 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 208 mins.
Job 6 Operation 0 duration 354 mins.
Job 4 Operation 1 duration 282 mins.
Job 7 Operation 1 duration 150 mins.
Job 5 Operation 2 duration 343 mins.
Job 0 Operation 3 duration 305 mins.
Job 1 Operation 3 duration 211 mins.
Job 3 Operation 3 duration 340 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 141 mins.
Job 4 Operation 0 duration 191 mins.
Job 1 Operation 1 duration 244 mins.
Job 3 Operation 1 duration 82 mins.
Job 5 Operation 1 duration 351 mins.
Job 2 Operation 3 duration 23 mins.
Job 6 Operation 3 duration 48 mins.
Job 7 Operation 3 duration 103 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 113 mins.
Job 5 Operation 0 duration 210 mins.
Job 7 Operation 0 duration 70 mins.
Job 2 Operation 1 duration 153 mins.
Job 6 Operation 1 duration 361 mins.
Job 0 Operation 2 duration 291 mins.
Job 3 Operation 2 duration 347 mins.
Job 4 Operation 2 duration 81 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 246 mins.
Job 0 Operation 1 duration 15 mins.
Job 1 Operation 2 duration 70 mins.
Job 2 Operation 2 duration 307 mins.
Job 6 Operation 2 duration 269 mins.
Job 7 Operation 2 duration 175 mins.
Job 4 Operation 3 duration 243 mins.
Job 5 Operation 3 duration 106 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 208 -> 208
Job 4 Operation 0 on Machine 1 : 0 + 191 -> 191
Job 7 Operation 0 on Machine 2 : 0 + 70 -> 70
Job 3 Operation 0 on Machine 3 : 0 + 246 -> 246
Job 1 Operation 0 on Machine 2 : 70 + 113 -> 183
Job 1 Operation 1 on Machine 1 : 191 + 244 -> 435
Job 4 Operation 1 on Machine 0 : 208 + 282 -> 490
Job 2 Operation 1 on Machine 2 : 208 + 153 -> 361
Job 3 Operation 1 on Machine 1 : 435 + 82 -> 517
Job 1 Operation 2 on Machine 3 : 435 + 70 -> 505
Job 6 Operation 0 on Machine 0 : 490 + 354 -> 844
Job 4 Operation 2 on Machine 2 : 490 + 81 -> 571
Job 0 Operation 0 on Machine 1 : 517 + 141 -> 658
Job 5 Operation 0 on Machine 2 : 571 + 210 -> 781
Job 4 Operation 3 on Machine 3 : 571 + 243 -> 814
Job 5 Operation 1 on Machine 1 : 781 + 351 -> 1132
Job 0 Operation 1 on Machine 3 : 814 + 15 -> 829
Job 0 Operation 2 on Machine 2 : 829 + 291 -> 1120
Job 2 Operation 2 on Machine 3 : 829 + 307 -> 1136
Job 1 Operation 3 on Machine 0 : 844 + 211 -> 1055
Job 7 Operation 1 on Machine 0 : 1055 + 150 -> 1205
Job 6 Operation 1 on Machine 2 : 1120 + 361 -> 1481
Job 2 Operation 3 on Machine 1 : 1136 + 23 -> 1159
Job 0 Operation 3 on Machine 0 : 1205 + 305 -> 1510
Job 7 Operation 2 on Machine 3 : 1205 + 175 -> 1380
Job 7 Operation 3 on Machine 1 : 1380 + 103 -> 1483
Job 3 Operation 2 on Machine 2 : 1481 + 347 -> 1828
Job 6 Operation 2 on Machine 3 : 1481 + 269 -> 1750
Job 5 Operation 2 on Machine 0 : 1510 + 343 -> 1853
Job 6 Operation 3 on Machine 1 : 1750 + 48 -> 1798
Job 3 Operation 3 on Machine 0 : 1853 + 340 -> 2193
Job 5 Operation 3 on Machine 3 : 1853 + 106 -> 1959
Makespan: 2193.0, as it is the maximum end completion time of Operation 3
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 49 mins.
Operation 1 on Machine 2 duration 285 mins.
Operation 2 on Machine 1 duration 368 mins.
Operation 3 on Machine 0 duration 21 mins.
Operation 4 on Machine 9 duration 248 mins.
Operation 5 on Machine 11 duration 210 mins.
Operation 6 on Machine 6 duration 253 mins.
Operation 7 on Machine 8 duration 251 mins.
Operation 8 on Machine 5 duration 283 mins.
Operation 9 on Machine 10 duration 119 mins.
Operation 10 on Machine 3 duration 27 mins.
Operation 11 on Machine 7 duration 395 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 289 mins.
Operation 1 on Machine 9 duration 351 mins.
Operation 2 on Machine 1 duration 140 mins.
Operation 3 on Machine 6 duration 99 mins.
Operation 4 on Machine 8 duration 383 mins.
Operation 5 on Machine 4 duration 85 mins.
Operation 6 on Machine 11 duration 371 mins.
Operation 7 on Machine 3 duration 331 mins.
Operation 8 on Machine 5 duration 290 mins.
Operation 9 on Machine 0 duration 219 mins.
Operation 10 on Machine 10 duration 62 mins.
Operation 11 on Machine 2 duration 148 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 9 duration 163 mins.
Operation 1 on Machine 10 duration 100 mins.
Operation 2 on Machine 1 duration 89 mins.
Operation 3 on Machine 2 duration 398 mins.
Operation 4 on Machine 4 duration 342 mins.
Operation 5 on Machine 3 duration 179 mins.
Operation 6 on Machine 11 duration 371 mins.
Operation 7 on Machine 6 duration 200 mins.
Operation 8 on Machine 5 duration 299 mins.
Operation 9 on Machine 8 duration 89 mins.
Operation 10 on Machine 7 duration 30 mins.
Operation 11 on Machine 0 duration 173 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 124 mins.
Operation 1 on Machine 9 duration 271 mins.
Operation 2 on Machine 0 duration 219 mins.
Operation 3 on Machine 8 duration 155 mins.
Operation 4 on Machine 10 duration 141 mins.
Operation 5 on Machine 3 duration 217 mins.
Operation 6 on Machine 6 duration 274 mins.
Operation 7 on Machine 1 duration 76 mins.
Operation 8 on Machine 7 duration 244 mins.
Operation 9 on Machine 2 duration 53 mins.
Operation 10 on Machine 11 duration 309 mins.
Operation 11 on Machine 5 duration 78 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 275 mins.
Operation 1 on Machine 6 duration 365 mins.
Operation 2 on Machine 3 duration 352 mins.
Operation 3 on Machine 4 duration 43 mins.
Operation 4 on Machine 2 duration 22 mins.
Operation 5 on Machine 7 duration 243 mins.
Operation 6 on Machine 10 duration 364 mins.
Operation 7 on Machine 9 duration 32 mins.
Operation 8 on Machine 5 duration 262 mins.
Operation 9 on Machine 8 duration 317 mins.
Operation 10 on Machine 11 duration 194 mins.
Operation 11 on Machine 0 duration 180 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 380 mins.
Operation 1 on Machine 8 duration 341 mins.
Operation 2 on Machine 1 duration 369 mins.
Operation 3 on Machine 7 duration 220 mins.
Operation 4 on Machine 4 duration 99 mins.
Operation 5 on Machine 10 duration 166 mins.
Operation 6 on Machine 6 duration 44 mins.
Operation 7 on Machine 2 duration 244 mins.
Operation 8 on Machine 5 duration 367 mins.
Operation 9 on Machine 9 duration 319 mins.
Operation 10 on Machine 11 duration 327 mins.
Operation 11 on Machine 3 duration 262 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 230 mins.
Operation 1 on Machine 2 duration 374 mins.
Operation 2 on Machine 3 duration 190 mins.
Operation 3 on Machine 6 duration 292 mins.
Operation 4 on Machine 0 duration 3 mins.
Operation 5 on Machine 4 duration 243 mins.
Operation 6 on Machine 8 duration 281 mins.
Operation 7 on Machine 11 duration 11 mins.
Operation 8 on Machine 5 duration 400 mins.
Operation 9 on Machine 10 duration 218 mins.
Operation 10 on Machine 1 duration 5 mins.
Operation 11 on Machine 9 duration 346 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 247 mins.
Operation 1 on Machine 8 duration 318 mins.
Operation 2 on Machine 5 duration 315 mins.
Operation 3 on Machine 10 duration 57 mins.
Operation 4 on Machine 7 duration 51 mins.
Operation 5 on Machine 4 duration 258 mins.
Operation 6 on Machine 11 duration 164 mins.
Operation 7 on Machine 2 duration 259 mins.
Operation 8 on Machine 1 duration 73 mins.
Operation 9 on Machine 0 duration 241 mins.
Operation 10 on Machine 3 duration 324 mins.
Operation 11 on Machine 9 duration 354 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 124 mins.
Operation 1 on Machine 2 duration 76 mins.
Operation 2 on Machine 10 duration 380 mins.
Operation 3 on Machine 5 duration 31 mins.
Operation 4 on Machine 11 duration 288 mins.
Operation 5 on Machine 7 duration 321 mins.
Operation 6 on Machine 0 duration 341 mins.
Operation 7 on Machine 6 duration 91 mins.
Operation 8 on Machine 8 duration 76 mins.
Operation 9 on Machine 9 duration 51 mins.
Operation 10 on Machine 1 duration 310 mins.
Operation 11 on Machine 3 duration 353 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 340 mins.
Operation 1 on Machine 1 duration 116 mins.
Operation 2 on Machine 3 duration 155 mins.
Operation 3 on Machine 2 duration 131 mins.
Operation 4 on Machine 11 duration 100 mins.
Operation 5 on Machine 10 duration 327 mins.
Operation 6 on Machine 9 duration 246 mins.
Operation 7 on Machine 0 duration 320 mins.
Operation 8 on Machine 6 duration 130 mins.
Operation 9 on Machine 7 duration 295 mins.
Operation 10 on Machine 8 duration 268 mins.
Operation 11 on Machine 5 duration 252 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 2 duration 177 mins.
Operation 1 on Machine 0 duration 193 mins.
Operation 2 on Machine 1 duration 103 mins.
Operation 3 on Machine 4 duration 52 mins.
Operation 4 on Machine 5 duration 288 mins.
Operation 5 on Machine 9 duration 182 mins.
Operation 6 on Machine 10 duration 99 mins.
Operation 7 on Machine 6 duration 43 mins.
Operation 8 on Machine 7 duration 345 mins.
Operation 9 on Machine 3 duration 8 mins.
Operation 10 on Machine 8 duration 135 mins.
Operation 11 on Machine 11 duration 150 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 10 duration 195 mins.
Operation 1 on Machine 6 duration 337 mins.
Operation 2 on Machine 2 duration 95 mins.
Operation 3 on Machine 3 duration 375 mins.
Operation 4 on Machine 5 duration 267 mins.
Operation 5 on Machine 11 duration 111 mins.
Operation 6 on Machine 8 duration 113 mins.
Operation 7 on Machine 4 duration 44 mins.
Operation 8 on Machine 1 duration 132 mins.
Operation 9 on Machine 9 duration 316 mins.
Operation 10 on Machine 7 duration 175 mins.
Operation 11 on Machine 0 duration 96 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 380 mins.
Job 10 Operation 1 duration 193 mins.
Job 3 Operation 2 duration 219 mins.
Job 0 Operation 3 duration 21 mins.
Job 6 Operation 4 duration 3 mins.
Job 8 Operation 6 duration 341 mins.
Job 9 Operation 7 duration 320 mins.
Job 1 Operation 9 duration 219 mins.
Job 7 Operation 9 duration 241 mins.
Job 2 Operation 11 duration 173 mins.
Job 4 Operation 11 duration 180 mins.
Job 11 Operation 11 duration 96 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 275 mins.
Job 9 Operation 1 duration 116 mins.
Job 0 Operation 2 duration 368 mins.
Job 1 Operation 2 duration 140 mins.
Job 2 Operation 2 duration 89 mins.
Job 5 Operation 2 duration 369 mins.
Job 10 Operation 2 duration 103 mins.
Job 3 Operation 7 duration 76 mins.
Job 7 Operation 8 duration 73 mins.
Job 11 Operation 8 duration 132 mins.
Job 6 Operation 10 duration 5 mins.
Job 8 Operation 10 duration 310 mins.
Machine 2 is used for the following Operations:
Job 10 Operation 0 duration 177 mins.
Job 0 Operation 1 duration 285 mins.
Job 6 Operation 1 duration 374 mins.
Job 8 Operation 1 duration 76 mins.
Job 11 Operation 2 duration 95 mins.
Job 2 Operation 3 duration 398 mins.
Job 9 Operation 3 duration 131 mins.
Job 4 Operation 4 duration 22 mins.
Job 5 Operation 7 duration 244 mins.
Job 7 Operation 7 duration 259 mins.
Job 3 Operation 9 duration 53 mins.
Job 1 Operation 11 duration 148 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 2 duration 352 mins.
Job 6 Operation 2 duration 190 mins.
Job 9 Operation 2 duration 155 mins.
Job 11 Operation 3 duration 375 mins.
Job 2 Operation 5 duration 179 mins.
Job 3 Operation 5 duration 217 mins.
Job 1 Operation 7 duration 331 mins.
Job 10 Operation 9 duration 8 mins.
Job 0 Operation 10 duration 27 mins.
Job 7 Operation 10 duration 324 mins.
Job 5 Operation 11 duration 262 mins.
Job 8 Operation 11 duration 353 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 49 mins.
Job 3 Operation 0 duration 124 mins.
Job 8 Operation 0 duration 124 mins.
Job 9 Operation 0 duration 340 mins.
Job 4 Operation 3 duration 43 mins.
Job 10 Operation 3 duration 52 mins.
Job 2 Operation 4 duration 342 mins.
Job 5 Operation 4 duration 99 mins.
Job 1 Operation 5 duration 85 mins.
Job 6 Operation 5 duration 243 mins.
Job 7 Operation 5 duration 258 mins.
Job 11 Operation 7 duration 44 mins.
Machine 5 is used for the following Operations:
Job 7 Operation 2 duration 315 mins.
Job 8 Operation 3 duration 31 mins.
Job 10 Operation 4 duration 288 mins.
Job 11 Operation 4 duration 267 mins.
Job 0 Operation 8 duration 283 mins.
Job 1 Operation 8 duration 290 mins.
Job 2 Operation 8 duration 299 mins.
Job 4 Operation 8 duration 262 mins.
Job 5 Operation 8 duration 367 mins.
Job 6 Operation 8 duration 400 mins.
Job 3 Operation 11 duration 78 mins.
Job 9 Operation 11 duration 252 mins.
Machine 6 is used for the following Operations:
Job 7 Operation 0 duration 247 mins.
Job 4 Operation 1 duration 365 mins.
Job 11 Operation 1 duration 337 mins.
Job 1 Operation 3 duration 99 mins.
Job 6 Operation 3 duration 292 mins.
Job 0 Operation 6 duration 253 mins.
Job 3 Operation 6 duration 274 mins.
Job 5 Operation 6 duration 44 mins.
Job 2 Operation 7 duration 200 mins.
Job 8 Operation 7 duration 91 mins.
Job 10 Operation 7 duration 43 mins.
Job 9 Operation 8 duration 130 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 289 mins.
Job 6 Operation 0 duration 230 mins.
Job 5 Operation 3 duration 220 mins.
Job 7 Operation 4 duration 51 mins.
Job 4 Operation 5 duration 243 mins.
Job 8 Operation 5 duration 321 mins.
Job 3 Operation 8 duration 244 mins.
Job 10 Operation 8 duration 345 mins.
Job 9 Operation 9 duration 295 mins.
Job 2 Operation 10 duration 30 mins.
Job 11 Operation 10 duration 175 mins.
Job 0 Operation 11 duration 395 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 1 duration 341 mins.
Job 7 Operation 1 duration 318 mins.
Job 3 Operation 3 duration 155 mins.
Job 1 Operation 4 duration 383 mins.
Job 6 Operation 6 duration 281 mins.
Job 11 Operation 6 duration 113 mins.
Job 0 Operation 7 duration 251 mins.
Job 8 Operation 8 duration 76 mins.
Job 2 Operation 9 duration 89 mins.
Job 4 Operation 9 duration 317 mins.
Job 9 Operation 10 duration 268 mins.
Job 10 Operation 10 duration 135 mins.
Machine 9 is used for the following Operations:
Job 2 Operation 0 duration 163 mins.
Job 1 Operation 1 duration 351 mins.
Job 3 Operation 1 duration 271 mins.
Job 0 Operation 4 duration 248 mins.
Job 10 Operation 5 duration 182 mins.
Job 9 Operation 6 duration 246 mins.
Job 4 Operation 7 duration 32 mins.
Job 5 Operation 9 duration 319 mins.
Job 8 Operation 9 duration 51 mins.
Job 11 Operation 9 duration 316 mins.
Job 6 Operation 11 duration 346 mins.
Job 7 Operation 11 duration 354 mins.
Machine 10 is used for the following Operations:
Job 11 Operation 0 duration 195 mins.
Job 2 Operation 1 duration 100 mins.
Job 8 Operation 2 duration 380 mins.
Job 7 Operation 3 duration 57 mins.
Job 3 Operation 4 duration 141 mins.
Job 5 Operation 5 duration 166 mins.
Job 9 Operation 5 duration 327 mins.
Job 4 Operation 6 duration 364 mins.
Job 10 Operation 6 duration 99 mins.
Job 0 Operation 9 duration 119 mins.
Job 6 Operation 9 duration 218 mins.
Job 1 Operation 10 duration 62 mins.
Machine 11 is used for the following Operations:
Job 8 Operation 4 duration 288 mins.
Job 9 Operation 4 duration 100 mins.
Job 0 Operation 5 duration 210 mins.
Job 11 Operation 5 duration 111 mins.
Job 1 Operation 6 duration 371 mins.
Job 2 Operation 6 duration 371 mins.
Job 7 Operation 6 duration 164 mins.
Job 6 Operation 7 duration 11 mins.
Job 3 Operation 10 duration 309 mins.
Job 4 Operation 10 duration 194 mins.
Job 5 Operation 10 duration 327 mins.
Job 10 Operation 11 duration 150 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 380 -> 380
Job 4 Operation 0 on Machine 1 : 0 + 275 -> 275
Job 0 Operation 0 on Machine 4 : 0 + 49 -> 49
Job 7 Operation 0 on Machine 6 : 0 + 247 -> 247
Job 1 Operation 0 on Machine 7 : 0 + 289 -> 289
Job 2 Operation 0 on Machine 9 : 0 + 163 -> 163
Job 11 Operation 0 on Machine 10 : 0 + 195 -> 195
Job 0 Operation 1 on Machine 2 : 49 + 285 -> 334
Job 3 Operation 0 on Machine 4 : 49 + 124 -> 173
Job 8 Operation 0 on Machine 4 : 173 + 124 -> 297
Job 3 Operation 1 on Machine 9 : 173 + 271 -> 444
Job 2 Operation 1 on Machine 10 : 195 + 100 -> 295
Job 7 Operation 1 on Machine 8 : 247 + 318 -> 565
Job 4 Operation 1 on Machine 6 : 275 + 365 -> 640
Job 6 Operation 0 on Machine 7 : 289 + 230 -> 519
Job 2 Operation 2 on Machine 1 : 295 + 89 -> 384
Job 9 Operation 0 on Machine 4 : 297 + 340 -> 637
Job 10 Operation 0 on Machine 2 : 334 + 177 -> 511
Job 0 Operation 2 on Machine 1 : 384 + 368 -> 752
Job 1 Operation 1 on Machine 9 : 444 + 351 -> 795
Job 10 Operation 1 on Machine 0 : 511 + 193 -> 704
Job 8 Operation 1 on Machine 2 : 511 + 76 -> 587
Job 7 Operation 2 on Machine 5 : 565 + 315 -> 880
Job 5 Operation 1 on Machine 8 : 565 + 341 -> 906
Job 6 Operation 1 on Machine 2 : 587 + 374 -> 961
Job 8 Operation 2 on Machine 10 : 587 + 380 -> 967
Job 4 Operation 2 on Machine 3 : 640 + 352 -> 992
Job 11 Operation 1 on Machine 6 : 640 + 337 -> 977
Job 0 Operation 3 on Machine 0 : 752 + 21 -> 773
Job 10 Operation 2 on Machine 1 : 752 + 103 -> 855
Job 3 Operation 2 on Machine 0 : 773 + 219 -> 992
Job 0 Operation 4 on Machine 9 : 795 + 248 -> 1043
Job 1 Operation 2 on Machine 1 : 855 + 140 -> 995
Job 8 Operation 3 on Machine 5 : 967 + 31 -> 998
Job 7 Operation 3 on Machine 10 : 967 + 57 -> 1024
Job 11 Operation 2 on Machine 2 : 977 + 95 -> 1072
Job 4 Operation 3 on Machine 4 : 992 + 43 -> 1035
Job 3 Operation 3 on Machine 8 : 992 + 155 -> 1147
Job 5 Operation 2 on Machine 1 : 995 + 369 -> 1364
Job 1 Operation 3 on Machine 6 : 995 + 99 -> 1094
Job 7 Operation 4 on Machine 7 : 1024 + 51 -> 1075
Job 10 Operation 3 on Machine 4 : 1035 + 52 -> 1087
Job 0 Operation 5 on Machine 11 : 1043 + 210 -> 1253
Job 4 Operation 4 on Machine 2 : 1072 + 22 -> 1094
Job 11 Operation 3 on Machine 3 : 1072 + 375 -> 1447
Job 7 Operation 5 on Machine 4 : 1087 + 258 -> 1345
Job 10 Operation 4 on Machine 5 : 1087 + 288 -> 1375
Job 2 Operation 3 on Machine 2 : 1094 + 398 -> 1492
Job 4 Operation 5 on Machine 7 : 1094 + 243 -> 1337
Job 1 Operation 4 on Machine 8 : 1147 + 383 -> 1530
Job 3 Operation 4 on Machine 10 : 1147 + 141 -> 1288
Job 0 Operation 6 on Machine 6 : 1253 + 253 -> 1506
Job 8 Operation 4 on Machine 11 : 1253 + 288 -> 1541
Job 4 Operation 6 on Machine 10 : 1337 + 364 -> 1701
Job 9 Operation 1 on Machine 1 : 1364 + 116 -> 1480
Job 5 Operation 3 on Machine 7 : 1364 + 220 -> 1584
Job 10 Operation 5 on Machine 9 : 1375 + 182 -> 1557
Job 11 Operation 4 on Machine 5 : 1447 + 267 -> 1714
Job 9 Operation 2 on Machine 3 : 1480 + 155 -> 1635
Job 1 Operation 5 on Machine 4 : 1530 + 85 -> 1615
Job 0 Operation 7 on Machine 8 : 1530 + 251 -> 1781
Job 7 Operation 6 on Machine 11 : 1541 + 164 -> 1705
Job 8 Operation 5 on Machine 7 : 1584 + 321 -> 1905
Job 5 Operation 4 on Machine 4 : 1615 + 99 -> 1714
Job 9 Operation 3 on Machine 2 : 1635 + 131 -> 1766
Job 6 Operation 2 on Machine 3 : 1635 + 190 -> 1825
Job 4 Operation 7 on Machine 9 : 1701 + 32 -> 1733
Job 2 Operation 4 on Machine 4 : 1714 + 342 -> 2056
Job 5 Operation 5 on Machine 10 : 1714 + 166 -> 1880
Job 11 Operation 5 on Machine 11 : 1714 + 111 -> 1825
Job 4 Operation 8 on Machine 5 : 1733 + 262 -> 1995
Job 7 Operation 7 on Machine 2 : 1766 + 259 -> 2025
Job 3 Operation 5 on Machine 3 : 1825 + 217 -> 2042
Job 11 Operation 6 on Machine 8 : 1825 + 113 -> 1938
Job 9 Operation 4 on Machine 11 : 1825 + 100 -> 1925
Job 5 Operation 6 on Machine 6 : 1880 + 44 -> 1924
Job 10 Operation 6 on Machine 10 : 1880 + 99 -> 1979
Job 8 Operation 6 on Machine 0 : 1905 + 341 -> 2246
Job 6 Operation 3 on Machine 6 : 1924 + 292 -> 2216
Job 1 Operation 6 on Machine 11 : 1925 + 371 -> 2296
Job 9 Operation 5 on Machine 10 : 1979 + 327 -> 2306
Job 0 Operation 8 on Machine 5 : 1995 + 283 -> 2278
Job 4 Operation 9 on Machine 8 : 1995 + 317 -> 2312
Job 7 Operation 8 on Machine 1 : 2025 + 73 -> 2098
Job 5 Operation 7 on Machine 2 : 2025 + 244 -> 2269
Job 2 Operation 5 on Machine 3 : 2056 + 179 -> 2235
Job 11 Operation 7 on Machine 4 : 2056 + 44 -> 2100
Job 11 Operation 8 on Machine 1 : 2100 + 132 -> 2232
Job 10 Operation 7 on Machine 6 : 2216 + 43 -> 2259
Job 6 Operation 4 on Machine 0 : 2246 + 3 -> 2249
Job 7 Operation 9 on Machine 0 : 2249 + 241 -> 2490
Job 6 Operation 5 on Machine 4 : 2249 + 243 -> 2492
Job 3 Operation 6 on Machine 6 : 2259 + 274 -> 2533
Job 10 Operation 8 on Machine 7 : 2259 + 345 -> 2604
Job 5 Operation 8 on Machine 5 : 2278 + 367 -> 2645
Job 1 Operation 7 on Machine 3 : 2296 + 331 -> 2627
Job 9 Operation 6 on Machine 9 : 2306 + 246 -> 2552
Job 0 Operation 9 on Machine 10 : 2306 + 119 -> 2425
Job 4 Operation 10 on Machine 11 : 2312 + 194 -> 2506
Job 6 Operation 6 on Machine 8 : 2492 + 281 -> 2773
Job 2 Operation 6 on Machine 11 : 2506 + 371 -> 2877
Job 3 Operation 7 on Machine 1 : 2533 + 76 -> 2609
Job 8 Operation 7 on Machine 6 : 2533 + 91 -> 2624
Job 9 Operation 7 on Machine 0 : 2552 + 320 -> 2872
Job 11 Operation 9 on Machine 9 : 2552 + 316 -> 2868
Job 3 Operation 8 on Machine 7 : 2609 + 244 -> 2853
Job 0 Operation 10 on Machine 3 : 2627 + 27 -> 2654
Job 1 Operation 8 on Machine 5 : 2645 + 290 -> 2935
Job 10 Operation 9 on Machine 3 : 2654 + 8 -> 2662
Job 7 Operation 10 on Machine 3 : 2662 + 324 -> 2986
Job 8 Operation 8 on Machine 8 : 2773 + 76 -> 2849
Job 10 Operation 10 on Machine 8 : 2849 + 135 -> 2984
Job 3 Operation 9 on Machine 2 : 2853 + 53 -> 2906
Job 11 Operation 10 on Machine 7 : 2868 + 175 -> 3043
Job 8 Operation 9 on Machine 9 : 2868 + 51 -> 2919
Job 9 Operation 8 on Machine 6 : 2872 + 130 -> 3002
Job 6 Operation 7 on Machine 11 : 2877 + 11 -> 2888
Job 3 Operation 10 on Machine 11 : 2906 + 309 -> 3215
Job 8 Operation 10 on Machine 1 : 2919 + 310 -> 3229
Job 5 Operation 9 on Machine 9 : 2919 + 319 -> 3238
Job 6 Operation 8 on Machine 5 : 2935 + 400 -> 3335
Job 2 Operation 7 on Machine 6 : 3002 + 200 -> 3202
Job 11 Operation 11 on Machine 0 : 3043 + 96 -> 3139
Job 9 Operation 9 on Machine 7 : 3043 + 295 -> 3338
Job 1 Operation 9 on Machine 0 : 3139 + 219 -> 3358
Job 8 Operation 11 on Machine 3 : 3229 + 353 -> 3582
Job 7 Operation 11 on Machine 9 : 3238 + 354 -> 3592
Job 5 Operation 10 on Machine 11 : 3238 + 327 -> 3565
Job 2 Operation 8 on Machine 5 : 3335 + 299 -> 3634
Job 6 Operation 9 on Machine 10 : 3335 + 218 -> 3553
Job 0 Operation 11 on Machine 7 : 3338 + 395 -> 3733
Job 9 Operation 10 on Machine 8 : 3338 + 268 -> 3606
Job 4 Operation 11 on Machine 0 : 3358 + 180 -> 3538
Job 6 Operation 10 on Machine 1 : 3553 + 5 -> 3558
Job 1 Operation 10 on Machine 10 : 3553 + 62 -> 3615
Job 10 Operation 11 on Machine 11 : 3565 + 150 -> 3715
Job 5 Operation 11 on Machine 3 : 3582 + 262 -> 3844
Job 6 Operation 11 on Machine 9 : 3592 + 346 -> 3938
Job 1 Operation 11 on Machine 2 : 3615 + 148 -> 3763
Job 3 Operation 11 on Machine 5 : 3634 + 78 -> 3712
Job 2 Operation 9 on Machine 8 : 3634 + 89 -> 3723
Job 9 Operation 11 on Machine 5 : 3712 + 252 -> 3964
Job 2 Operation 10 on Machine 7 : 3733 + 30 -> 3763
Job 2 Operation 11 on Machine 0 : 3763 + 173 -> 3936
Makespan: 3964.0, as it is the maximum end completion time of Operation 11
| null |
|
10 | 3 |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 10 mins.
Operation 1 on Machine 1 duration 28 mins.
Operation 2 on Machine 0 duration 5 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 1 duration 26 mins.
Operation 2 on Machine 0 duration 5 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 25 mins.
Operation 1 on Machine 2 duration 16 mins.
Operation 2 on Machine 0 duration 3 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 9 mins.
Operation 1 on Machine 0 duration 13 mins.
Operation 2 on Machine 2 duration 4 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 7 mins.
Operation 1 on Machine 0 duration 6 mins.
Operation 2 on Machine 1 duration 27 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 1 mins.
Operation 1 on Machine 0 duration 25 mins.
Operation 2 on Machine 2 duration 27 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 7 mins.
Operation 1 on Machine 2 duration 18 mins.
Operation 2 on Machine 0 duration 7 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 2 mins.
Operation 1 on Machine 2 duration 6 mins.
Operation 2 on Machine 0 duration 7 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 0 duration 29 mins.
Operation 2 on Machine 1 duration 26 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 8 mins.
Operation 1 on Machine 1 duration 17 mins.
Operation 2 on Machine 0 duration 25 mins.
| null |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 1 duration 13 mins.
Job 4 Operation 1 duration 6 mins.
Job 5 Operation 1 duration 25 mins.
Job 8 Operation 1 duration 29 mins.
Job 0 Operation 2 duration 5 mins.
Job 1 Operation 2 duration 5 mins.
Job 2 Operation 2 duration 3 mins.
Job 6 Operation 2 duration 7 mins.
Job 7 Operation 2 duration 7 mins.
Job 9 Operation 2 duration 25 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 25 mins.
Job 3 Operation 0 duration 9 mins.
Job 5 Operation 0 duration 1 mins.
Job 6 Operation 0 duration 7 mins.
Job 7 Operation 0 duration 2 mins.
Job 0 Operation 1 duration 28 mins.
Job 1 Operation 1 duration 26 mins.
Job 9 Operation 1 duration 17 mins.
Job 4 Operation 2 duration 27 mins.
Job 8 Operation 2 duration 26 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 10 mins.
Job 1 Operation 0 duration 4 mins.
Job 4 Operation 0 duration 7 mins.
Job 8 Operation 0 duration 4 mins.
Job 9 Operation 0 duration 8 mins.
Job 2 Operation 1 duration 16 mins.
Job 6 Operation 1 duration 18 mins.
Job 7 Operation 1 duration 6 mins.
Job 3 Operation 2 duration 4 mins.
Job 5 Operation 2 duration 27 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 1 : 0 + 1 -> 1
Job 7 Operation 0 on Machine 1 : 1 + 2 -> 3
Job 6 Operation 0 on Machine 1 : 3 + 7 -> 10
Job 7 Operation 1 on Machine 2 : 3 + 6 -> 9
Job 7 Operation 2 on Machine 0 : 9 + 7 -> 16
Job 2 Operation 0 on Machine 1 : 10 + 25 -> 35
Job 6 Operation 1 on Machine 2 : 10 + 18 -> 28
Job 6 Operation 2 on Machine 0 : 28 + 7 -> 35
Job 1 Operation 0 on Machine 2 : 28 + 4 -> 32
Job 4 Operation 0 on Machine 2 : 32 + 7 -> 39
Job 1 Operation 1 on Machine 1 : 35 + 26 -> 61
Job 4 Operation 1 on Machine 0 : 39 + 6 -> 45
Job 2 Operation 1 on Machine 2 : 39 + 16 -> 55
Job 2 Operation 2 on Machine 0 : 55 + 3 -> 58
Job 8 Operation 0 on Machine 2 : 55 + 4 -> 59
Job 9 Operation 0 on Machine 2 : 59 + 8 -> 67
Job 1 Operation 2 on Machine 0 : 61 + 5 -> 66
Job 4 Operation 2 on Machine 1 : 61 + 27 -> 88
Job 5 Operation 1 on Machine 0 : 66 + 25 -> 91
Job 0 Operation 0 on Machine 2 : 67 + 10 -> 77
Job 3 Operation 0 on Machine 1 : 88 + 9 -> 97
Job 8 Operation 1 on Machine 0 : 91 + 29 -> 120
Job 5 Operation 2 on Machine 2 : 91 + 27 -> 118
Job 0 Operation 1 on Machine 1 : 97 + 28 -> 125
Job 3 Operation 1 on Machine 0 : 120 + 13 -> 133
Job 9 Operation 1 on Machine 1 : 125 + 17 -> 142
Job 0 Operation 2 on Machine 0 : 133 + 5 -> 138
Job 3 Operation 2 on Machine 2 : 133 + 4 -> 137
Job 9 Operation 2 on Machine 0 : 142 + 25 -> 167
Job 8 Operation 2 on Machine 1 : 142 + 26 -> 168
Makespan: 168.0, as it is the maximum end completion time of Operation 2
| null |
|
7 | 3 |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 177 mins.
Operation 1 on Machine 0 duration 155 mins.
Operation 2 on Machine 1 duration 236 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 79 mins.
Operation 1 on Machine 0 duration 183 mins.
Operation 2 on Machine 2 duration 91 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 130 mins.
Operation 1 on Machine 2 duration 14 mins.
Operation 2 on Machine 1 duration 223 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 159 mins.
Operation 1 on Machine 2 duration 171 mins.
Operation 2 on Machine 1 duration 179 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 120 mins.
Operation 1 on Machine 1 duration 208 mins.
Operation 2 on Machine 2 duration 119 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 236 mins.
Operation 1 on Machine 1 duration 207 mins.
Operation 2 on Machine 2 duration 111 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 189 mins.
Operation 1 on Machine 0 duration 117 mins.
Operation 2 on Machine 2 duration 58 mins.
| null |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 130 mins.
Job 3 Operation 0 duration 159 mins.
Job 4 Operation 0 duration 120 mins.
Job 5 Operation 0 duration 236 mins.
Job 0 Operation 1 duration 155 mins.
Job 1 Operation 1 duration 183 mins.
Job 6 Operation 1 duration 117 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 79 mins.
Job 6 Operation 0 duration 189 mins.
Job 4 Operation 1 duration 208 mins.
Job 5 Operation 1 duration 207 mins.
Job 0 Operation 2 duration 236 mins.
Job 2 Operation 2 duration 223 mins.
Job 3 Operation 2 duration 179 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 177 mins.
Job 2 Operation 1 duration 14 mins.
Job 3 Operation 1 duration 171 mins.
Job 1 Operation 2 duration 91 mins.
Job 4 Operation 2 duration 119 mins.
Job 5 Operation 2 duration 111 mins.
Job 6 Operation 2 duration 58 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 120 -> 120
Job 6 Operation 0 on Machine 1 : 0 + 189 -> 189
Job 0 Operation 0 on Machine 2 : 0 + 177 -> 177
Job 3 Operation 0 on Machine 0 : 120 + 159 -> 279
Job 1 Operation 0 on Machine 1 : 189 + 79 -> 268
Job 4 Operation 1 on Machine 1 : 268 + 208 -> 476
Job 6 Operation 1 on Machine 0 : 279 + 117 -> 396
Job 3 Operation 1 on Machine 2 : 279 + 171 -> 450
Job 2 Operation 0 on Machine 0 : 396 + 130 -> 526
Job 6 Operation 2 on Machine 2 : 450 + 58 -> 508
Job 3 Operation 2 on Machine 1 : 476 + 179 -> 655
Job 5 Operation 0 on Machine 0 : 526 + 236 -> 762
Job 2 Operation 1 on Machine 2 : 526 + 14 -> 540
Job 4 Operation 2 on Machine 2 : 540 + 119 -> 659
Job 2 Operation 2 on Machine 1 : 655 + 223 -> 878
Job 0 Operation 1 on Machine 0 : 762 + 155 -> 917
Job 5 Operation 1 on Machine 1 : 878 + 207 -> 1085
Job 1 Operation 1 on Machine 0 : 917 + 183 -> 1100
Job 0 Operation 2 on Machine 1 : 1085 + 236 -> 1321
Job 5 Operation 2 on Machine 2 : 1085 + 111 -> 1196
Job 1 Operation 2 on Machine 2 : 1196 + 91 -> 1287
Makespan: 1321.0, as it is the maximum end completion time of Operation 2
| null |
|
8 | 3 |
Optimize schedule for 8 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 175 mins.
Operation 1 on Machine 2 duration 159 mins.
Operation 2 on Machine 1 duration 74 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 11 mins.
Operation 1 on Machine 2 duration 78 mins.
Operation 2 on Machine 1 duration 215 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 78 mins.
Operation 1 on Machine 2 duration 204 mins.
Operation 2 on Machine 1 duration 123 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 196 mins.
Operation 1 on Machine 2 duration 42 mins.
Operation 2 on Machine 0 duration 98 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 158 mins.
Operation 1 on Machine 1 duration 54 mins.
Operation 2 on Machine 0 duration 213 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 142 mins.
Operation 1 on Machine 0 duration 87 mins.
Operation 2 on Machine 1 duration 152 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 188 mins.
Operation 1 on Machine 2 duration 149 mins.
Operation 2 on Machine 1 duration 69 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 34 mins.
Operation 1 on Machine 0 duration 215 mins.
Operation 2 on Machine 1 duration 212 mins.
| null |
Optimize schedule for 8 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 175 mins.
Job 1 Operation 0 duration 11 mins.
Job 2 Operation 0 duration 78 mins.
Job 6 Operation 0 duration 188 mins.
Job 5 Operation 1 duration 87 mins.
Job 7 Operation 1 duration 215 mins.
Job 3 Operation 2 duration 98 mins.
Job 4 Operation 2 duration 213 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 196 mins.
Job 4 Operation 1 duration 54 mins.
Job 0 Operation 2 duration 74 mins.
Job 1 Operation 2 duration 215 mins.
Job 2 Operation 2 duration 123 mins.
Job 5 Operation 2 duration 152 mins.
Job 6 Operation 2 duration 69 mins.
Job 7 Operation 2 duration 212 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 158 mins.
Job 5 Operation 0 duration 142 mins.
Job 7 Operation 0 duration 34 mins.
Job 0 Operation 1 duration 159 mins.
Job 1 Operation 1 duration 78 mins.
Job 2 Operation 1 duration 204 mins.
Job 3 Operation 1 duration 42 mins.
Job 6 Operation 1 duration 149 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 11 -> 11
Job 3 Operation 0 on Machine 1 : 0 + 196 -> 196
Job 0 Operation 0 on Machine 0 : 11 + 175 -> 186
Job 1 Operation 1 on Machine 2 : 11 + 78 -> 89
Job 5 Operation 0 on Machine 2 : 89 + 142 -> 231
Job 2 Operation 0 on Machine 0 : 186 + 78 -> 264
Job 1 Operation 2 on Machine 1 : 196 + 215 -> 411
Job 7 Operation 0 on Machine 2 : 231 + 34 -> 265
Job 5 Operation 1 on Machine 0 : 264 + 87 -> 351
Job 4 Operation 0 on Machine 2 : 265 + 158 -> 423
Job 7 Operation 1 on Machine 0 : 351 + 215 -> 566
Job 5 Operation 2 on Machine 1 : 411 + 152 -> 563
Job 2 Operation 1 on Machine 2 : 423 + 204 -> 627
Job 4 Operation 1 on Machine 1 : 563 + 54 -> 617
Job 6 Operation 0 on Machine 0 : 566 + 188 -> 754
Job 7 Operation 2 on Machine 1 : 617 + 212 -> 829
Job 3 Operation 1 on Machine 2 : 627 + 42 -> 669
Job 0 Operation 1 on Machine 2 : 669 + 159 -> 828
Job 4 Operation 2 on Machine 0 : 754 + 213 -> 967
Job 6 Operation 1 on Machine 2 : 828 + 149 -> 977
Job 0 Operation 2 on Machine 1 : 829 + 74 -> 903
Job 2 Operation 2 on Machine 1 : 903 + 123 -> 1026
Job 3 Operation 2 on Machine 0 : 967 + 98 -> 1065
Job 6 Operation 2 on Machine 1 : 1026 + 69 -> 1095
Makespan: 1095.0, as it is the maximum end completion time of Operation 2
| null |
|
6 | 3 |
Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 121 mins.
Operation 1 on Machine 0 duration 27 mins.
Operation 2 on Machine 1 duration 126 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 101 mins.
Operation 1 on Machine 0 duration 26 mins.
Operation 2 on Machine 2 duration 121 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 18 mins.
Operation 1 on Machine 2 duration 10 mins.
Operation 2 on Machine 0 duration 102 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 86 mins.
Operation 1 on Machine 2 duration 74 mins.
Operation 2 on Machine 1 duration 18 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 101 mins.
Operation 1 on Machine 2 duration 35 mins.
Operation 2 on Machine 0 duration 67 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 138 mins.
Operation 1 on Machine 1 duration 12 mins.
Operation 2 on Machine 0 duration 98 mins.
| null |
Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 86 mins.
Job 0 Operation 1 duration 27 mins.
Job 1 Operation 1 duration 26 mins.
Job 2 Operation 2 duration 102 mins.
Job 4 Operation 2 duration 67 mins.
Job 5 Operation 2 duration 98 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 101 mins.
Job 2 Operation 0 duration 18 mins.
Job 4 Operation 0 duration 101 mins.
Job 5 Operation 1 duration 12 mins.
Job 0 Operation 2 duration 126 mins.
Job 3 Operation 2 duration 18 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 121 mins.
Job 5 Operation 0 duration 138 mins.
Job 2 Operation 1 duration 10 mins.
Job 3 Operation 1 duration 74 mins.
Job 4 Operation 1 duration 35 mins.
Job 1 Operation 2 duration 121 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 86 -> 86
Job 2 Operation 0 on Machine 1 : 0 + 18 -> 18
Job 0 Operation 0 on Machine 2 : 0 + 121 -> 121
Job 4 Operation 0 on Machine 1 : 18 + 101 -> 119
Job 1 Operation 0 on Machine 1 : 119 + 101 -> 220
Job 0 Operation 1 on Machine 0 : 121 + 27 -> 148
Job 4 Operation 1 on Machine 2 : 121 + 35 -> 156
Job 4 Operation 2 on Machine 0 : 156 + 67 -> 223
Job 2 Operation 1 on Machine 2 : 156 + 10 -> 166
Job 3 Operation 1 on Machine 2 : 166 + 74 -> 240
Job 2 Operation 2 on Machine 0 : 223 + 102 -> 325
Job 3 Operation 2 on Machine 1 : 240 + 18 -> 258
Job 5 Operation 0 on Machine 2 : 240 + 138 -> 378
Job 0 Operation 2 on Machine 1 : 258 + 126 -> 384
Job 1 Operation 1 on Machine 0 : 325 + 26 -> 351
Job 1 Operation 2 on Machine 2 : 378 + 121 -> 499
Job 5 Operation 1 on Machine 1 : 384 + 12 -> 396
Job 5 Operation 2 on Machine 0 : 396 + 98 -> 494
Makespan: 499.0, as it is the maximum end completion time of Operation 2
| null |
|
4 | 2 |
Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 269 mins.
Operation 1 on Machine 1 duration 132 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 206 mins.
Operation 1 on Machine 0 duration 366 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 479 mins.
Operation 1 on Machine 1 duration 181 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 38 mins.
Operation 1 on Machine 1 duration 69 mins.
| null |
Optimize schedule for 4 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 269 mins.
Job 2 Operation 0 duration 479 mins.
Job 3 Operation 0 duration 38 mins.
Job 1 Operation 1 duration 366 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 206 mins.
Job 0 Operation 1 duration 132 mins.
Job 2 Operation 1 duration 181 mins.
Job 3 Operation 1 duration 69 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 38 -> 38
Job 0 Operation 0 on Machine 0 : 38 + 269 -> 307
Job 3 Operation 1 on Machine 1 : 38 + 69 -> 107
Job 2 Operation 0 on Machine 0 : 307 + 479 -> 786
Job 0 Operation 1 on Machine 1 : 307 + 132 -> 439
Job 1 Operation 0 on Machine 1 : 439 + 206 -> 645
Job 1 Operation 1 on Machine 0 : 786 + 366 -> 1152
Job 2 Operation 1 on Machine 1 : 786 + 181 -> 967
Makespan: 1152.0, as it is the maximum end completion time of Operation 1
| null |
|
9 | 8 |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 59 mins.
Operation 1 on Machine 6 duration 102 mins.
Operation 2 on Machine 7 duration 49 mins.
Operation 3 on Machine 0 duration 50 mins.
Operation 4 on Machine 2 duration 84 mins.
Operation 5 on Machine 1 duration 59 mins.
Operation 6 on Machine 4 duration 75 mins.
Operation 7 on Machine 3 duration 55 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 35 mins.
Operation 1 on Machine 2 duration 74 mins.
Operation 2 on Machine 0 duration 158 mins.
Operation 3 on Machine 7 duration 79 mins.
Operation 4 on Machine 5 duration 70 mins.
Operation 5 on Machine 6 duration 145 mins.
Operation 6 on Machine 3 duration 123 mins.
Operation 7 on Machine 1 duration 15 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 1 mins.
Operation 1 on Machine 1 duration 106 mins.
Operation 2 on Machine 7 duration 153 mins.
Operation 3 on Machine 6 duration 94 mins.
Operation 4 on Machine 4 duration 32 mins.
Operation 5 on Machine 0 duration 56 mins.
Operation 6 on Machine 2 duration 64 mins.
Operation 7 on Machine 5 duration 44 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 102 mins.
Operation 1 on Machine 7 duration 39 mins.
Operation 2 on Machine 3 duration 14 mins.
Operation 3 on Machine 5 duration 94 mins.
Operation 4 on Machine 2 duration 41 mins.
Operation 5 on Machine 0 duration 111 mins.
Operation 6 on Machine 1 duration 108 mins.
Operation 7 on Machine 4 duration 41 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 6 mins.
Operation 1 on Machine 6 duration 111 mins.
Operation 2 on Machine 1 duration 34 mins.
Operation 3 on Machine 3 duration 37 mins.
Operation 4 on Machine 4 duration 11 mins.
Operation 5 on Machine 2 duration 128 mins.
Operation 6 on Machine 0 duration 156 mins.
Operation 7 on Machine 5 duration 12 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 22 mins.
Operation 1 on Machine 2 duration 1 mins.
Operation 2 on Machine 3 duration 45 mins.
Operation 3 on Machine 7 duration 149 mins.
Operation 4 on Machine 5 duration 93 mins.
Operation 5 on Machine 0 duration 22 mins.
Operation 6 on Machine 6 duration 69 mins.
Operation 7 on Machine 4 duration 70 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 127 mins.
Operation 1 on Machine 6 duration 151 mins.
Operation 2 on Machine 0 duration 55 mins.
Operation 3 on Machine 1 duration 73 mins.
Operation 4 on Machine 5 duration 24 mins.
Operation 5 on Machine 2 duration 42 mins.
Operation 6 on Machine 7 duration 98 mins.
Operation 7 on Machine 3 duration 58 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 51 mins.
Operation 1 on Machine 2 duration 156 mins.
Operation 2 on Machine 0 duration 96 mins.
Operation 3 on Machine 5 duration 105 mins.
Operation 4 on Machine 4 duration 50 mins.
Operation 5 on Machine 3 duration 12 mins.
Operation 6 on Machine 1 duration 74 mins.
Operation 7 on Machine 7 duration 152 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 6 duration 69 mins.
Operation 1 on Machine 2 duration 28 mins.
Operation 2 on Machine 7 duration 156 mins.
Operation 3 on Machine 5 duration 164 mins.
Operation 4 on Machine 0 duration 112 mins.
Operation 5 on Machine 3 duration 69 mins.
Operation 6 on Machine 1 duration 137 mins.
Operation 7 on Machine 4 duration 86 mins.
| null |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 2 duration 158 mins.
Job 6 Operation 2 duration 55 mins.
Job 7 Operation 2 duration 96 mins.
Job 0 Operation 3 duration 50 mins.
Job 8 Operation 4 duration 112 mins.
Job 2 Operation 5 duration 56 mins.
Job 3 Operation 5 duration 111 mins.
Job 5 Operation 5 duration 22 mins.
Job 4 Operation 6 duration 156 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 22 mins.
Job 2 Operation 1 duration 106 mins.
Job 4 Operation 2 duration 34 mins.
Job 6 Operation 3 duration 73 mins.
Job 0 Operation 5 duration 59 mins.
Job 3 Operation 6 duration 108 mins.
Job 7 Operation 6 duration 74 mins.
Job 8 Operation 6 duration 137 mins.
Job 1 Operation 7 duration 15 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 74 mins.
Job 5 Operation 1 duration 1 mins.
Job 7 Operation 1 duration 156 mins.
Job 8 Operation 1 duration 28 mins.
Job 0 Operation 4 duration 84 mins.
Job 3 Operation 4 duration 41 mins.
Job 4 Operation 5 duration 128 mins.
Job 6 Operation 5 duration 42 mins.
Job 2 Operation 6 duration 64 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 1 mins.
Job 3 Operation 2 duration 14 mins.
Job 5 Operation 2 duration 45 mins.
Job 4 Operation 3 duration 37 mins.
Job 7 Operation 5 duration 12 mins.
Job 8 Operation 5 duration 69 mins.
Job 1 Operation 6 duration 123 mins.
Job 0 Operation 7 duration 55 mins.
Job 6 Operation 7 duration 58 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 35 mins.
Job 6 Operation 0 duration 127 mins.
Job 2 Operation 4 duration 32 mins.
Job 4 Operation 4 duration 11 mins.
Job 7 Operation 4 duration 50 mins.
Job 0 Operation 6 duration 75 mins.
Job 3 Operation 7 duration 41 mins.
Job 5 Operation 7 duration 70 mins.
Job 8 Operation 7 duration 86 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 59 mins.
Job 3 Operation 3 duration 94 mins.
Job 7 Operation 3 duration 105 mins.
Job 8 Operation 3 duration 164 mins.
Job 1 Operation 4 duration 70 mins.
Job 5 Operation 4 duration 93 mins.
Job 6 Operation 4 duration 24 mins.
Job 2 Operation 7 duration 44 mins.
Job 4 Operation 7 duration 12 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 102 mins.
Job 7 Operation 0 duration 51 mins.
Job 8 Operation 0 duration 69 mins.
Job 0 Operation 1 duration 102 mins.
Job 4 Operation 1 duration 111 mins.
Job 6 Operation 1 duration 151 mins.
Job 2 Operation 3 duration 94 mins.
Job 1 Operation 5 duration 145 mins.
Job 5 Operation 6 duration 69 mins.
Machine 7 is used for the following Operations:
Job 4 Operation 0 duration 6 mins.
Job 3 Operation 1 duration 39 mins.
Job 0 Operation 2 duration 49 mins.
Job 2 Operation 2 duration 153 mins.
Job 8 Operation 2 duration 156 mins.
Job 1 Operation 3 duration 79 mins.
Job 5 Operation 3 duration 149 mins.
Job 6 Operation 6 duration 98 mins.
Job 7 Operation 7 duration 152 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 1 : 0 + 22 -> 22
Job 2 Operation 0 on Machine 3 : 0 + 1 -> 1
Job 1 Operation 0 on Machine 4 : 0 + 35 -> 35
Job 0 Operation 0 on Machine 5 : 0 + 59 -> 59
Job 8 Operation 0 on Machine 6 : 0 + 69 -> 69
Job 4 Operation 0 on Machine 7 : 0 + 6 -> 6
Job 2 Operation 1 on Machine 1 : 22 + 106 -> 128
Job 5 Operation 1 on Machine 2 : 22 + 1 -> 23
Job 5 Operation 2 on Machine 3 : 23 + 45 -> 68
Job 6 Operation 0 on Machine 4 : 35 + 127 -> 162
Job 8 Operation 1 on Machine 2 : 69 + 28 -> 97
Job 3 Operation 0 on Machine 6 : 69 + 102 -> 171
Job 1 Operation 1 on Machine 2 : 97 + 74 -> 171
Job 8 Operation 2 on Machine 7 : 97 + 156 -> 253
Job 1 Operation 2 on Machine 0 : 171 + 158 -> 329
Job 6 Operation 1 on Machine 6 : 171 + 151 -> 322
Job 8 Operation 3 on Machine 5 : 253 + 164 -> 417
Job 3 Operation 1 on Machine 7 : 253 + 39 -> 292
Job 3 Operation 2 on Machine 3 : 292 + 14 -> 306
Job 2 Operation 2 on Machine 7 : 292 + 153 -> 445
Job 7 Operation 0 on Machine 6 : 322 + 51 -> 373
Job 6 Operation 2 on Machine 0 : 329 + 55 -> 384
Job 7 Operation 1 on Machine 2 : 373 + 156 -> 529
Job 0 Operation 1 on Machine 6 : 373 + 102 -> 475
Job 6 Operation 3 on Machine 1 : 384 + 73 -> 457
Job 8 Operation 4 on Machine 0 : 417 + 112 -> 529
Job 3 Operation 3 on Machine 5 : 417 + 94 -> 511
Job 1 Operation 3 on Machine 7 : 445 + 79 -> 524
Job 4 Operation 1 on Machine 6 : 475 + 111 -> 586
Job 1 Operation 4 on Machine 5 : 524 + 70 -> 594
Job 0 Operation 2 on Machine 7 : 524 + 49 -> 573
Job 7 Operation 2 on Machine 0 : 529 + 96 -> 625
Job 3 Operation 4 on Machine 2 : 529 + 41 -> 570
Job 8 Operation 5 on Machine 3 : 529 + 69 -> 598
Job 5 Operation 3 on Machine 7 : 573 + 149 -> 722
Job 4 Operation 2 on Machine 1 : 586 + 34 -> 620
Job 2 Operation 3 on Machine 6 : 586 + 94 -> 680
Job 6 Operation 4 on Machine 5 : 594 + 24 -> 618
Job 6 Operation 5 on Machine 2 : 618 + 42 -> 660
Job 8 Operation 6 on Machine 1 : 620 + 137 -> 757
Job 4 Operation 3 on Machine 3 : 620 + 37 -> 657
Job 0 Operation 3 on Machine 0 : 625 + 50 -> 675
Job 7 Operation 3 on Machine 5 : 625 + 105 -> 730
Job 4 Operation 4 on Machine 4 : 657 + 11 -> 668
Job 3 Operation 5 on Machine 0 : 675 + 111 -> 786
Job 0 Operation 4 on Machine 2 : 675 + 84 -> 759
Job 2 Operation 4 on Machine 4 : 680 + 32 -> 712
Job 1 Operation 5 on Machine 6 : 680 + 145 -> 825
Job 6 Operation 6 on Machine 7 : 722 + 98 -> 820
Job 7 Operation 4 on Machine 4 : 730 + 50 -> 780
Job 5 Operation 4 on Machine 5 : 730 + 93 -> 823
Job 0 Operation 5 on Machine 1 : 759 + 59 -> 818
Job 4 Operation 5 on Machine 2 : 759 + 128 -> 887
Job 7 Operation 5 on Machine 3 : 780 + 12 -> 792
Job 8 Operation 7 on Machine 4 : 780 + 86 -> 866
Job 2 Operation 5 on Machine 0 : 786 + 56 -> 842
Job 7 Operation 6 on Machine 1 : 818 + 74 -> 892
Job 6 Operation 7 on Machine 3 : 820 + 58 -> 878
Job 5 Operation 5 on Machine 0 : 842 + 22 -> 864
Job 5 Operation 6 on Machine 6 : 864 + 69 -> 933
Job 0 Operation 6 on Machine 4 : 866 + 75 -> 941
Job 1 Operation 6 on Machine 3 : 878 + 123 -> 1001
Job 4 Operation 6 on Machine 0 : 887 + 156 -> 1043
Job 2 Operation 6 on Machine 2 : 887 + 64 -> 951
Job 3 Operation 6 on Machine 1 : 892 + 108 -> 1000
Job 7 Operation 7 on Machine 7 : 892 + 152 -> 1044
Job 5 Operation 7 on Machine 4 : 941 + 70 -> 1011
Job 2 Operation 7 on Machine 5 : 951 + 44 -> 995
Job 1 Operation 7 on Machine 1 : 1001 + 15 -> 1016
Job 0 Operation 7 on Machine 3 : 1001 + 55 -> 1056
Job 3 Operation 7 on Machine 4 : 1011 + 41 -> 1052
Job 4 Operation 7 on Machine 5 : 1043 + 12 -> 1055
Makespan: 1056.0, as it is the maximum end completion time of Operation 7
| null |
|
9 | 8 |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 99 mins.
Operation 1 on Machine 3 duration 77 mins.
Operation 2 on Machine 1 duration 142 mins.
Operation 3 on Machine 0 duration 104 mins.
Operation 4 on Machine 7 duration 33 mins.
Operation 5 on Machine 5 duration 138 mins.
Operation 6 on Machine 2 duration 37 mins.
Operation 7 on Machine 4 duration 152 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 170 mins.
Operation 1 on Machine 0 duration 128 mins.
Operation 2 on Machine 1 duration 87 mins.
Operation 3 on Machine 2 duration 172 mins.
Operation 4 on Machine 5 duration 155 mins.
Operation 5 on Machine 6 duration 5 mins.
Operation 6 on Machine 3 duration 73 mins.
Operation 7 on Machine 7 duration 226 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 75 mins.
Operation 1 on Machine 3 duration 53 mins.
Operation 2 on Machine 5 duration 14 mins.
Operation 3 on Machine 0 duration 226 mins.
Operation 4 on Machine 7 duration 108 mins.
Operation 5 on Machine 1 duration 5 mins.
Operation 6 on Machine 6 duration 9 mins.
Operation 7 on Machine 2 duration 90 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 43 mins.
Operation 1 on Machine 1 duration 13 mins.
Operation 2 on Machine 2 duration 238 mins.
Operation 3 on Machine 5 duration 24 mins.
Operation 4 on Machine 0 duration 94 mins.
Operation 5 on Machine 7 duration 197 mins.
Operation 6 on Machine 4 duration 151 mins.
Operation 7 on Machine 3 duration 170 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 225 mins.
Operation 1 on Machine 3 duration 230 mins.
Operation 2 on Machine 0 duration 237 mins.
Operation 3 on Machine 5 duration 6 mins.
Operation 4 on Machine 7 duration 185 mins.
Operation 5 on Machine 4 duration 169 mins.
Operation 6 on Machine 6 duration 21 mins.
Operation 7 on Machine 2 duration 126 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 114 mins.
Operation 1 on Machine 0 duration 132 mins.
Operation 2 on Machine 2 duration 91 mins.
Operation 3 on Machine 4 duration 132 mins.
Operation 4 on Machine 5 duration 37 mins.
Operation 5 on Machine 1 duration 66 mins.
Operation 6 on Machine 3 duration 2 mins.
Operation 7 on Machine 7 duration 202 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 130 mins.
Operation 1 on Machine 3 duration 124 mins.
Operation 2 on Machine 7 duration 65 mins.
Operation 3 on Machine 5 duration 189 mins.
Operation 4 on Machine 0 duration 244 mins.
Operation 5 on Machine 1 duration 56 mins.
Operation 6 on Machine 4 duration 240 mins.
Operation 7 on Machine 6 duration 180 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 7 mins.
Operation 1 on Machine 1 duration 129 mins.
Operation 2 on Machine 7 duration 147 mins.
Operation 3 on Machine 5 duration 202 mins.
Operation 4 on Machine 3 duration 103 mins.
Operation 5 on Machine 2 duration 131 mins.
Operation 6 on Machine 6 duration 2 mins.
Operation 7 on Machine 0 duration 200 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 16 mins.
Operation 1 on Machine 6 duration 158 mins.
Operation 2 on Machine 2 duration 178 mins.
Operation 3 on Machine 3 duration 60 mins.
Operation 4 on Machine 5 duration 123 mins.
Operation 5 on Machine 0 duration 36 mins.
Operation 6 on Machine 1 duration 63 mins.
Operation 7 on Machine 7 duration 78 mins.
| null |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 128 mins.
Job 5 Operation 1 duration 132 mins.
Job 4 Operation 2 duration 237 mins.
Job 0 Operation 3 duration 104 mins.
Job 2 Operation 3 duration 226 mins.
Job 3 Operation 4 duration 94 mins.
Job 6 Operation 4 duration 244 mins.
Job 8 Operation 5 duration 36 mins.
Job 7 Operation 7 duration 200 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 225 mins.
Job 3 Operation 1 duration 13 mins.
Job 7 Operation 1 duration 129 mins.
Job 0 Operation 2 duration 142 mins.
Job 1 Operation 2 duration 87 mins.
Job 2 Operation 5 duration 5 mins.
Job 5 Operation 5 duration 66 mins.
Job 6 Operation 5 duration 56 mins.
Job 8 Operation 6 duration 63 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 0 duration 130 mins.
Job 3 Operation 2 duration 238 mins.
Job 5 Operation 2 duration 91 mins.
Job 8 Operation 2 duration 178 mins.
Job 1 Operation 3 duration 172 mins.
Job 7 Operation 5 duration 131 mins.
Job 0 Operation 6 duration 37 mins.
Job 2 Operation 7 duration 90 mins.
Job 4 Operation 7 duration 126 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 77 mins.
Job 2 Operation 1 duration 53 mins.
Job 4 Operation 1 duration 230 mins.
Job 6 Operation 1 duration 124 mins.
Job 8 Operation 3 duration 60 mins.
Job 7 Operation 4 duration 103 mins.
Job 1 Operation 6 duration 73 mins.
Job 5 Operation 6 duration 2 mins.
Job 3 Operation 7 duration 170 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 170 mins.
Job 2 Operation 0 duration 75 mins.
Job 7 Operation 0 duration 7 mins.
Job 8 Operation 0 duration 16 mins.
Job 5 Operation 3 duration 132 mins.
Job 4 Operation 5 duration 169 mins.
Job 3 Operation 6 duration 151 mins.
Job 6 Operation 6 duration 240 mins.
Job 0 Operation 7 duration 152 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 2 duration 14 mins.
Job 3 Operation 3 duration 24 mins.
Job 4 Operation 3 duration 6 mins.
Job 6 Operation 3 duration 189 mins.
Job 7 Operation 3 duration 202 mins.
Job 1 Operation 4 duration 155 mins.
Job 5 Operation 4 duration 37 mins.
Job 8 Operation 4 duration 123 mins.
Job 0 Operation 5 duration 138 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 99 mins.
Job 3 Operation 0 duration 43 mins.
Job 5 Operation 0 duration 114 mins.
Job 8 Operation 1 duration 158 mins.
Job 1 Operation 5 duration 5 mins.
Job 2 Operation 6 duration 9 mins.
Job 4 Operation 6 duration 21 mins.
Job 7 Operation 6 duration 2 mins.
Job 6 Operation 7 duration 180 mins.
Machine 7 is used for the following Operations:
Job 6 Operation 2 duration 65 mins.
Job 7 Operation 2 duration 147 mins.
Job 0 Operation 4 duration 33 mins.
Job 2 Operation 4 duration 108 mins.
Job 4 Operation 4 duration 185 mins.
Job 3 Operation 5 duration 197 mins.
Job 1 Operation 7 duration 226 mins.
Job 5 Operation 7 duration 202 mins.
Job 8 Operation 7 duration 78 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 2 : 0 + 130 -> 130
Job 2 Operation 0 on Machine 4 : 0 + 75 -> 75
Job 3 Operation 0 on Machine 6 : 0 + 43 -> 43
Job 3 Operation 1 on Machine 1 : 43 + 13 -> 56
Job 5 Operation 0 on Machine 6 : 43 + 114 -> 157
Job 4 Operation 0 on Machine 1 : 56 + 225 -> 281
Job 2 Operation 1 on Machine 3 : 75 + 53 -> 128
Job 7 Operation 0 on Machine 4 : 75 + 7 -> 82
Job 8 Operation 0 on Machine 4 : 82 + 16 -> 98
Job 1 Operation 0 on Machine 4 : 98 + 170 -> 268
Job 2 Operation 2 on Machine 5 : 128 + 14 -> 142
Job 3 Operation 2 on Machine 2 : 130 + 238 -> 368
Job 6 Operation 1 on Machine 3 : 130 + 124 -> 254
Job 5 Operation 1 on Machine 0 : 157 + 132 -> 289
Job 0 Operation 0 on Machine 6 : 157 + 99 -> 256
Job 6 Operation 2 on Machine 7 : 254 + 65 -> 319
Job 8 Operation 1 on Machine 6 : 256 + 158 -> 414
Job 7 Operation 1 on Machine 1 : 281 + 129 -> 410
Job 4 Operation 1 on Machine 3 : 281 + 230 -> 511
Job 1 Operation 1 on Machine 0 : 289 + 128 -> 417
Job 5 Operation 2 on Machine 2 : 368 + 91 -> 459
Job 3 Operation 3 on Machine 5 : 368 + 24 -> 392
Job 6 Operation 3 on Machine 5 : 392 + 189 -> 581
Job 7 Operation 2 on Machine 7 : 410 + 147 -> 557
Job 3 Operation 4 on Machine 0 : 417 + 94 -> 511
Job 1 Operation 2 on Machine 1 : 417 + 87 -> 504
Job 8 Operation 2 on Machine 2 : 459 + 178 -> 637
Job 5 Operation 3 on Machine 4 : 459 + 132 -> 591
Job 4 Operation 2 on Machine 0 : 511 + 237 -> 748
Job 0 Operation 1 on Machine 3 : 511 + 77 -> 588
Job 3 Operation 5 on Machine 7 : 557 + 197 -> 754
Job 0 Operation 2 on Machine 1 : 588 + 142 -> 730
Job 5 Operation 4 on Machine 5 : 591 + 37 -> 628
Job 1 Operation 3 on Machine 2 : 637 + 172 -> 809
Job 8 Operation 3 on Machine 3 : 637 + 60 -> 697
Job 5 Operation 5 on Machine 1 : 730 + 66 -> 796
Job 6 Operation 4 on Machine 0 : 748 + 244 -> 992
Job 4 Operation 3 on Machine 5 : 748 + 6 -> 754
Job 3 Operation 6 on Machine 4 : 754 + 151 -> 905
Job 7 Operation 3 on Machine 5 : 754 + 202 -> 956
Job 4 Operation 4 on Machine 7 : 754 + 185 -> 939
Job 5 Operation 6 on Machine 3 : 796 + 2 -> 798
Job 4 Operation 5 on Machine 4 : 939 + 169 -> 1108
Job 5 Operation 7 on Machine 7 : 939 + 202 -> 1141
Job 7 Operation 4 on Machine 3 : 956 + 103 -> 1059
Job 1 Operation 4 on Machine 5 : 956 + 155 -> 1111
Job 0 Operation 3 on Machine 0 : 992 + 104 -> 1096
Job 6 Operation 5 on Machine 1 : 992 + 56 -> 1048
Job 7 Operation 5 on Machine 2 : 1059 + 131 -> 1190
Job 2 Operation 3 on Machine 0 : 1096 + 226 -> 1322
Job 6 Operation 6 on Machine 4 : 1108 + 240 -> 1348
Job 8 Operation 4 on Machine 5 : 1111 + 123 -> 1234
Job 1 Operation 5 on Machine 6 : 1111 + 5 -> 1116
Job 1 Operation 6 on Machine 3 : 1116 + 73 -> 1189
Job 4 Operation 6 on Machine 6 : 1116 + 21 -> 1137
Job 0 Operation 4 on Machine 7 : 1141 + 33 -> 1174
Job 3 Operation 7 on Machine 3 : 1189 + 170 -> 1359
Job 1 Operation 7 on Machine 7 : 1189 + 226 -> 1415
Job 4 Operation 7 on Machine 2 : 1190 + 126 -> 1316
Job 7 Operation 6 on Machine 6 : 1190 + 2 -> 1192
Job 0 Operation 5 on Machine 5 : 1234 + 138 -> 1372
Job 8 Operation 5 on Machine 0 : 1322 + 36 -> 1358
Job 6 Operation 7 on Machine 6 : 1348 + 180 -> 1528
Job 7 Operation 7 on Machine 0 : 1358 + 200 -> 1558
Job 8 Operation 6 on Machine 1 : 1358 + 63 -> 1421
Job 0 Operation 6 on Machine 2 : 1372 + 37 -> 1409
Job 0 Operation 7 on Machine 4 : 1409 + 152 -> 1561
Job 2 Operation 4 on Machine 7 : 1415 + 108 -> 1523
Job 2 Operation 5 on Machine 1 : 1523 + 5 -> 1528
Job 8 Operation 7 on Machine 7 : 1523 + 78 -> 1601
Job 2 Operation 6 on Machine 6 : 1528 + 9 -> 1537
Job 2 Operation 7 on Machine 2 : 1537 + 90 -> 1627
Makespan: 1627.0, as it is the maximum end completion time of Operation 7
| null |
|
9 | 9 |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 7 duration 78 mins.
Operation 1 on Machine 4 duration 108 mins.
Operation 2 on Machine 6 duration 51 mins.
Operation 3 on Machine 0 duration 23 mins.
Operation 4 on Machine 2 duration 6 mins.
Operation 5 on Machine 3 duration 77 mins.
Operation 6 on Machine 5 duration 17 mins.
Operation 7 on Machine 8 duration 85 mins.
Operation 8 on Machine 1 duration 54 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 101 mins.
Operation 1 on Machine 8 duration 17 mins.
Operation 2 on Machine 2 duration 73 mins.
Operation 3 on Machine 5 duration 107 mins.
Operation 4 on Machine 3 duration 23 mins.
Operation 5 on Machine 7 duration 108 mins.
Operation 6 on Machine 4 duration 76 mins.
Operation 7 on Machine 1 duration 97 mins.
Operation 8 on Machine 0 duration 51 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 28 mins.
Operation 1 on Machine 2 duration 11 mins.
Operation 2 on Machine 0 duration 83 mins.
Operation 3 on Machine 8 duration 32 mins.
Operation 4 on Machine 1 duration 87 mins.
Operation 5 on Machine 7 duration 63 mins.
Operation 6 on Machine 5 duration 91 mins.
Operation 7 on Machine 3 duration 10 mins.
Operation 8 on Machine 4 duration 68 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 73 mins.
Operation 1 on Machine 1 duration 59 mins.
Operation 2 on Machine 4 duration 12 mins.
Operation 3 on Machine 0 duration 11 mins.
Operation 4 on Machine 6 duration 70 mins.
Operation 5 on Machine 5 duration 36 mins.
Operation 6 on Machine 8 duration 33 mins.
Operation 7 on Machine 7 duration 114 mins.
Operation 8 on Machine 3 duration 98 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 111 mins.
Operation 1 on Machine 1 duration 82 mins.
Operation 2 on Machine 8 duration 103 mins.
Operation 3 on Machine 6 duration 16 mins.
Operation 4 on Machine 2 duration 33 mins.
Operation 5 on Machine 4 duration 11 mins.
Operation 6 on Machine 0 duration 17 mins.
Operation 7 on Machine 7 duration 20 mins.
Operation 8 on Machine 5 duration 107 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 7 duration 8 mins.
Operation 1 on Machine 5 duration 82 mins.
Operation 2 on Machine 1 duration 42 mins.
Operation 3 on Machine 0 duration 37 mins.
Operation 4 on Machine 4 duration 11 mins.
Operation 5 on Machine 3 duration 107 mins.
Operation 6 on Machine 6 duration 46 mins.
Operation 7 on Machine 2 duration 31 mins.
Operation 8 on Machine 8 duration 18 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 102 mins.
Operation 1 on Machine 3 duration 40 mins.
Operation 2 on Machine 2 duration 75 mins.
Operation 3 on Machine 8 duration 22 mins.
Operation 4 on Machine 0 duration 66 mins.
Operation 5 on Machine 5 duration 100 mins.
Operation 6 on Machine 6 duration 61 mins.
Operation 7 on Machine 1 duration 42 mins.
Operation 8 on Machine 4 duration 19 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 46 mins.
Operation 1 on Machine 0 duration 44 mins.
Operation 2 on Machine 7 duration 86 mins.
Operation 3 on Machine 8 duration 63 mins.
Operation 4 on Machine 2 duration 23 mins.
Operation 5 on Machine 3 duration 11 mins.
Operation 6 on Machine 1 duration 108 mins.
Operation 7 on Machine 6 duration 47 mins.
Operation 8 on Machine 4 duration 16 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 111 mins.
Operation 1 on Machine 7 duration 5 mins.
Operation 2 on Machine 5 duration 75 mins.
Operation 3 on Machine 1 duration 23 mins.
Operation 4 on Machine 2 duration 88 mins.
Operation 5 on Machine 0 duration 34 mins.
Operation 6 on Machine 4 duration 39 mins.
Operation 7 on Machine 6 duration 112 mins.
Operation 8 on Machine 8 duration 62 mins.
| null |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 7 Operation 1 duration 44 mins.
Job 2 Operation 2 duration 83 mins.
Job 0 Operation 3 duration 23 mins.
Job 3 Operation 3 duration 11 mins.
Job 5 Operation 3 duration 37 mins.
Job 6 Operation 4 duration 66 mins.
Job 8 Operation 5 duration 34 mins.
Job 4 Operation 6 duration 17 mins.
Job 1 Operation 8 duration 51 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 1 duration 59 mins.
Job 4 Operation 1 duration 82 mins.
Job 5 Operation 2 duration 42 mins.
Job 8 Operation 3 duration 23 mins.
Job 2 Operation 4 duration 87 mins.
Job 7 Operation 6 duration 108 mins.
Job 1 Operation 7 duration 97 mins.
Job 6 Operation 7 duration 42 mins.
Job 0 Operation 8 duration 54 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 73 mins.
Job 2 Operation 1 duration 11 mins.
Job 1 Operation 2 duration 73 mins.
Job 6 Operation 2 duration 75 mins.
Job 0 Operation 4 duration 6 mins.
Job 4 Operation 4 duration 33 mins.
Job 7 Operation 4 duration 23 mins.
Job 8 Operation 4 duration 88 mins.
Job 5 Operation 7 duration 31 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 111 mins.
Job 8 Operation 0 duration 111 mins.
Job 6 Operation 1 duration 40 mins.
Job 1 Operation 4 duration 23 mins.
Job 0 Operation 5 duration 77 mins.
Job 5 Operation 5 duration 107 mins.
Job 7 Operation 5 duration 11 mins.
Job 2 Operation 7 duration 10 mins.
Job 3 Operation 8 duration 98 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 108 mins.
Job 3 Operation 2 duration 12 mins.
Job 5 Operation 4 duration 11 mins.
Job 4 Operation 5 duration 11 mins.
Job 1 Operation 6 duration 76 mins.
Job 8 Operation 6 duration 39 mins.
Job 2 Operation 8 duration 68 mins.
Job 6 Operation 8 duration 19 mins.
Job 7 Operation 8 duration 16 mins.
Machine 5 is used for the following Operations:
Job 7 Operation 0 duration 46 mins.
Job 5 Operation 1 duration 82 mins.
Job 8 Operation 2 duration 75 mins.
Job 1 Operation 3 duration 107 mins.
Job 3 Operation 5 duration 36 mins.
Job 6 Operation 5 duration 100 mins.
Job 0 Operation 6 duration 17 mins.
Job 2 Operation 6 duration 91 mins.
Job 4 Operation 8 duration 107 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 101 mins.
Job 2 Operation 0 duration 28 mins.
Job 0 Operation 2 duration 51 mins.
Job 4 Operation 3 duration 16 mins.
Job 3 Operation 4 duration 70 mins.
Job 5 Operation 6 duration 46 mins.
Job 6 Operation 6 duration 61 mins.
Job 7 Operation 7 duration 47 mins.
Job 8 Operation 7 duration 112 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 0 duration 78 mins.
Job 5 Operation 0 duration 8 mins.
Job 6 Operation 0 duration 102 mins.
Job 8 Operation 1 duration 5 mins.
Job 7 Operation 2 duration 86 mins.
Job 1 Operation 5 duration 108 mins.
Job 2 Operation 5 duration 63 mins.
Job 3 Operation 7 duration 114 mins.
Job 4 Operation 7 duration 20 mins.
Machine 8 is used for the following Operations:
Job 1 Operation 1 duration 17 mins.
Job 4 Operation 2 duration 103 mins.
Job 2 Operation 3 duration 32 mins.
Job 6 Operation 3 duration 22 mins.
Job 7 Operation 3 duration 63 mins.
Job 3 Operation 6 duration 33 mins.
Job 0 Operation 7 duration 85 mins.
Job 5 Operation 8 duration 18 mins.
Job 8 Operation 8 duration 62 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 3 : 0 + 111 -> 111
Job 7 Operation 0 on Machine 5 : 0 + 46 -> 46
Job 2 Operation 0 on Machine 6 : 0 + 28 -> 28
Job 5 Operation 0 on Machine 7 : 0 + 8 -> 8
Job 6 Operation 0 on Machine 7 : 8 + 102 -> 110
Job 2 Operation 1 on Machine 2 : 28 + 11 -> 39
Job 1 Operation 0 on Machine 6 : 28 + 101 -> 129
Job 2 Operation 2 on Machine 0 : 39 + 83 -> 122
Job 3 Operation 0 on Machine 2 : 39 + 73 -> 112
Job 5 Operation 1 on Machine 5 : 46 + 82 -> 128
Job 6 Operation 1 on Machine 3 : 111 + 40 -> 151
Job 8 Operation 1 on Machine 7 : 111 + 5 -> 116
Job 3 Operation 1 on Machine 1 : 112 + 59 -> 171
Job 0 Operation 0 on Machine 7 : 116 + 78 -> 194
Job 7 Operation 1 on Machine 0 : 122 + 44 -> 166
Job 8 Operation 2 on Machine 5 : 128 + 75 -> 203
Job 1 Operation 1 on Machine 8 : 129 + 17 -> 146
Job 1 Operation 2 on Machine 2 : 146 + 73 -> 219
Job 2 Operation 3 on Machine 8 : 146 + 32 -> 178
Job 4 Operation 0 on Machine 3 : 151 + 111 -> 262
Job 5 Operation 2 on Machine 1 : 171 + 42 -> 213
Job 3 Operation 2 on Machine 4 : 171 + 12 -> 183
Job 3 Operation 3 on Machine 0 : 183 + 11 -> 194
Job 3 Operation 4 on Machine 6 : 194 + 70 -> 264
Job 7 Operation 2 on Machine 7 : 194 + 86 -> 280
Job 5 Operation 3 on Machine 0 : 213 + 37 -> 250
Job 8 Operation 3 on Machine 1 : 213 + 23 -> 236
Job 6 Operation 2 on Machine 2 : 219 + 75 -> 294
Job 1 Operation 3 on Machine 5 : 219 + 107 -> 326
Job 2 Operation 4 on Machine 1 : 236 + 87 -> 323
Job 5 Operation 4 on Machine 4 : 250 + 11 -> 261
Job 0 Operation 1 on Machine 4 : 261 + 108 -> 369
Job 5 Operation 5 on Machine 3 : 262 + 107 -> 369
Job 8 Operation 4 on Machine 2 : 294 + 88 -> 382
Job 6 Operation 3 on Machine 8 : 294 + 22 -> 316
Job 6 Operation 4 on Machine 0 : 316 + 66 -> 382
Job 7 Operation 3 on Machine 8 : 316 + 63 -> 379
Job 4 Operation 1 on Machine 1 : 323 + 82 -> 405
Job 2 Operation 5 on Machine 7 : 323 + 63 -> 386
Job 3 Operation 5 on Machine 5 : 326 + 36 -> 362
Job 1 Operation 4 on Machine 3 : 369 + 23 -> 392
Job 0 Operation 2 on Machine 6 : 369 + 51 -> 420
Job 3 Operation 6 on Machine 8 : 379 + 33 -> 412
Job 8 Operation 5 on Machine 0 : 382 + 34 -> 416
Job 7 Operation 4 on Machine 2 : 382 + 23 -> 405
Job 6 Operation 5 on Machine 5 : 382 + 100 -> 482
Job 1 Operation 5 on Machine 7 : 392 + 108 -> 500
Job 7 Operation 5 on Machine 3 : 405 + 11 -> 416
Job 4 Operation 2 on Machine 8 : 412 + 103 -> 515
Job 7 Operation 6 on Machine 1 : 416 + 108 -> 524
Job 8 Operation 6 on Machine 4 : 416 + 39 -> 455
Job 0 Operation 3 on Machine 0 : 420 + 23 -> 443
Job 5 Operation 6 on Machine 6 : 420 + 46 -> 466
Job 0 Operation 4 on Machine 2 : 443 + 6 -> 449
Job 0 Operation 5 on Machine 3 : 449 + 77 -> 526
Job 5 Operation 7 on Machine 2 : 466 + 31 -> 497
Job 2 Operation 6 on Machine 5 : 482 + 91 -> 573
Job 6 Operation 6 on Machine 6 : 482 + 61 -> 543
Job 1 Operation 6 on Machine 4 : 500 + 76 -> 576
Job 3 Operation 7 on Machine 7 : 500 + 114 -> 614
Job 5 Operation 8 on Machine 8 : 515 + 18 -> 533
Job 6 Operation 7 on Machine 1 : 543 + 42 -> 585
Job 4 Operation 3 on Machine 6 : 543 + 16 -> 559
Job 4 Operation 4 on Machine 2 : 559 + 33 -> 592
Job 8 Operation 7 on Machine 6 : 559 + 112 -> 671
Job 2 Operation 7 on Machine 3 : 573 + 10 -> 583
Job 0 Operation 6 on Machine 5 : 573 + 17 -> 590
Job 1 Operation 7 on Machine 1 : 585 + 97 -> 682
Job 0 Operation 7 on Machine 8 : 590 + 85 -> 675
Job 4 Operation 5 on Machine 4 : 592 + 11 -> 603
Job 4 Operation 6 on Machine 0 : 603 + 17 -> 620
Job 2 Operation 8 on Machine 4 : 603 + 68 -> 671
Job 3 Operation 8 on Machine 3 : 614 + 98 -> 712
Job 4 Operation 7 on Machine 7 : 620 + 20 -> 640
Job 4 Operation 8 on Machine 5 : 640 + 107 -> 747
Job 6 Operation 8 on Machine 4 : 671 + 19 -> 690
Job 7 Operation 7 on Machine 6 : 671 + 47 -> 718
Job 8 Operation 8 on Machine 8 : 675 + 62 -> 737
Job 1 Operation 8 on Machine 0 : 682 + 51 -> 733
Job 0 Operation 8 on Machine 1 : 682 + 54 -> 736
Job 7 Operation 8 on Machine 4 : 718 + 16 -> 734
Makespan: 747.0, as it is the maximum end completion time of Operation 8
| null |
|
9 | 6 |
Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 166 mins.
Operation 1 on Machine 1 duration 233 mins.
Operation 2 on Machine 4 duration 186 mins.
Operation 3 on Machine 0 duration 99 mins.
Operation 4 on Machine 5 duration 299 mins.
Operation 5 on Machine 3 duration 291 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 66 mins.
Operation 1 on Machine 5 duration 233 mins.
Operation 2 on Machine 4 duration 253 mins.
Operation 3 on Machine 0 duration 252 mins.
Operation 4 on Machine 3 duration 288 mins.
Operation 5 on Machine 1 duration 247 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 471 mins.
Operation 1 on Machine 4 duration 377 mins.
Operation 2 on Machine 0 duration 70 mins.
Operation 3 on Machine 1 duration 259 mins.
Operation 4 on Machine 3 duration 155 mins.
Operation 5 on Machine 2 duration 204 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 367 mins.
Operation 1 on Machine 2 duration 269 mins.
Operation 2 on Machine 3 duration 447 mins.
Operation 3 on Machine 1 duration 468 mins.
Operation 4 on Machine 5 duration 148 mins.
Operation 5 on Machine 0 duration 148 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 305 mins.
Operation 1 on Machine 3 duration 457 mins.
Operation 2 on Machine 5 duration 392 mins.
Operation 3 on Machine 0 duration 300 mins.
Operation 4 on Machine 4 duration 492 mins.
Operation 5 on Machine 2 duration 480 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 250 mins.
Operation 1 on Machine 4 duration 340 mins.
Operation 2 on Machine 2 duration 199 mins.
Operation 3 on Machine 1 duration 250 mins.
Operation 4 on Machine 0 duration 194 mins.
Operation 5 on Machine 3 duration 344 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 294 mins.
Operation 1 on Machine 3 duration 389 mins.
Operation 2 on Machine 2 duration 364 mins.
Operation 3 on Machine 0 duration 315 mins.
Operation 4 on Machine 4 duration 67 mins.
Operation 5 on Machine 5 duration 468 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 364 mins.
Operation 1 on Machine 4 duration 226 mins.
Operation 2 on Machine 5 duration 280 mins.
Operation 3 on Machine 1 duration 406 mins.
Operation 4 on Machine 0 duration 22 mins.
Operation 5 on Machine 3 duration 411 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 66 mins.
Operation 1 on Machine 3 duration 295 mins.
Operation 2 on Machine 5 duration 385 mins.
Operation 3 on Machine 0 duration 479 mins.
Operation 4 on Machine 1 duration 13 mins.
Operation 5 on Machine 2 duration 98 mins.
| null |
Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 2 duration 70 mins.
Job 0 Operation 3 duration 99 mins.
Job 1 Operation 3 duration 252 mins.
Job 4 Operation 3 duration 300 mins.
Job 6 Operation 3 duration 315 mins.
Job 8 Operation 3 duration 479 mins.
Job 5 Operation 4 duration 194 mins.
Job 7 Operation 4 duration 22 mins.
Job 3 Operation 5 duration 148 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 305 mins.
Job 6 Operation 0 duration 294 mins.
Job 0 Operation 1 duration 233 mins.
Job 2 Operation 3 duration 259 mins.
Job 3 Operation 3 duration 468 mins.
Job 5 Operation 3 duration 250 mins.
Job 7 Operation 3 duration 406 mins.
Job 8 Operation 4 duration 13 mins.
Job 1 Operation 5 duration 247 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 166 mins.
Job 1 Operation 0 duration 66 mins.
Job 7 Operation 0 duration 364 mins.
Job 3 Operation 1 duration 269 mins.
Job 5 Operation 2 duration 199 mins.
Job 6 Operation 2 duration 364 mins.
Job 2 Operation 5 duration 204 mins.
Job 4 Operation 5 duration 480 mins.
Job 8 Operation 5 duration 98 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 1 duration 457 mins.
Job 6 Operation 1 duration 389 mins.
Job 8 Operation 1 duration 295 mins.
Job 3 Operation 2 duration 447 mins.
Job 1 Operation 4 duration 288 mins.
Job 2 Operation 4 duration 155 mins.
Job 0 Operation 5 duration 291 mins.
Job 5 Operation 5 duration 344 mins.
Job 7 Operation 5 duration 411 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 367 mins.
Job 8 Operation 0 duration 66 mins.
Job 2 Operation 1 duration 377 mins.
Job 5 Operation 1 duration 340 mins.
Job 7 Operation 1 duration 226 mins.
Job 0 Operation 2 duration 186 mins.
Job 1 Operation 2 duration 253 mins.
Job 4 Operation 4 duration 492 mins.
Job 6 Operation 4 duration 67 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 471 mins.
Job 5 Operation 0 duration 250 mins.
Job 1 Operation 1 duration 233 mins.
Job 4 Operation 2 duration 392 mins.
Job 7 Operation 2 duration 280 mins.
Job 8 Operation 2 duration 385 mins.
Job 0 Operation 4 duration 299 mins.
Job 3 Operation 4 duration 148 mins.
Job 6 Operation 5 duration 468 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 1 : 0 + 294 -> 294
Job 1 Operation 0 on Machine 2 : 0 + 66 -> 66
Job 8 Operation 0 on Machine 4 : 0 + 66 -> 66
Job 7 Operation 0 on Machine 2 : 66 + 364 -> 430
Job 8 Operation 1 on Machine 3 : 66 + 295 -> 361
Job 3 Operation 0 on Machine 4 : 66 + 367 -> 433
Job 1 Operation 1 on Machine 5 : 66 + 233 -> 299
Job 4 Operation 0 on Machine 1 : 294 + 305 -> 599
Job 2 Operation 0 on Machine 5 : 299 + 471 -> 770
Job 6 Operation 1 on Machine 3 : 361 + 389 -> 750
Job 3 Operation 1 on Machine 2 : 433 + 269 -> 702
Job 7 Operation 1 on Machine 4 : 433 + 226 -> 659
Job 6 Operation 2 on Machine 2 : 750 + 364 -> 1114
Job 4 Operation 1 on Machine 3 : 750 + 457 -> 1207
Job 2 Operation 1 on Machine 4 : 770 + 377 -> 1147
Job 7 Operation 2 on Machine 5 : 770 + 280 -> 1050
Job 7 Operation 3 on Machine 1 : 1050 + 406 -> 1456
Job 5 Operation 0 on Machine 5 : 1050 + 250 -> 1300
Job 6 Operation 3 on Machine 0 : 1114 + 315 -> 1429
Job 0 Operation 0 on Machine 2 : 1114 + 166 -> 1280
Job 1 Operation 2 on Machine 4 : 1147 + 253 -> 1400
Job 3 Operation 2 on Machine 3 : 1207 + 447 -> 1654
Job 4 Operation 2 on Machine 5 : 1300 + 392 -> 1692
Job 2 Operation 2 on Machine 0 : 1429 + 70 -> 1499
Job 6 Operation 4 on Machine 4 : 1429 + 67 -> 1496
Job 0 Operation 1 on Machine 1 : 1456 + 233 -> 1689
Job 5 Operation 1 on Machine 4 : 1496 + 340 -> 1836
Job 7 Operation 4 on Machine 0 : 1499 + 22 -> 1521
Job 1 Operation 3 on Machine 0 : 1521 + 252 -> 1773
Job 7 Operation 5 on Machine 3 : 1654 + 411 -> 2065
Job 2 Operation 3 on Machine 1 : 1689 + 259 -> 1948
Job 8 Operation 2 on Machine 5 : 1692 + 385 -> 2077
Job 4 Operation 3 on Machine 0 : 1773 + 300 -> 2073
Job 5 Operation 2 on Machine 2 : 1836 + 199 -> 2035
Job 0 Operation 2 on Machine 4 : 1836 + 186 -> 2022
Job 5 Operation 3 on Machine 1 : 2035 + 250 -> 2285
Job 2 Operation 4 on Machine 3 : 2065 + 155 -> 2220
Job 0 Operation 3 on Machine 0 : 2073 + 99 -> 2172
Job 4 Operation 4 on Machine 4 : 2073 + 492 -> 2565
Job 6 Operation 5 on Machine 5 : 2077 + 468 -> 2545
Job 2 Operation 5 on Machine 2 : 2220 + 204 -> 2424
Job 1 Operation 4 on Machine 3 : 2220 + 288 -> 2508
Job 5 Operation 4 on Machine 0 : 2285 + 194 -> 2479
Job 3 Operation 3 on Machine 1 : 2285 + 468 -> 2753
Job 8 Operation 3 on Machine 0 : 2479 + 479 -> 2958
Job 5 Operation 5 on Machine 3 : 2508 + 344 -> 2852
Job 0 Operation 4 on Machine 5 : 2545 + 299 -> 2844
Job 4 Operation 5 on Machine 2 : 2565 + 480 -> 3045
Job 1 Operation 5 on Machine 1 : 2753 + 247 -> 3000
Job 3 Operation 4 on Machine 5 : 2844 + 148 -> 2992
Job 0 Operation 5 on Machine 3 : 2852 + 291 -> 3143
Job 3 Operation 5 on Machine 0 : 2992 + 148 -> 3140
Job 8 Operation 4 on Machine 1 : 3000 + 13 -> 3013
Job 8 Operation 5 on Machine 2 : 3045 + 98 -> 3143
Makespan: 3143.0, as it is the maximum end completion time of Operation 5
| null |
|
10 | 10 |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 8 duration 210 mins.
Operation 1 on Machine 2 duration 117 mins.
Operation 2 on Machine 6 duration 54 mins.
Operation 3 on Machine 3 duration 142 mins.
Operation 4 on Machine 7 duration 130 mins.
Operation 5 on Machine 9 duration 45 mins.
Operation 6 on Machine 4 duration 108 mins.
Operation 7 on Machine 0 duration 190 mins.
Operation 8 on Machine 1 duration 223 mins.
Operation 9 on Machine 5 duration 69 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 235 mins.
Operation 1 on Machine 3 duration 167 mins.
Operation 2 on Machine 8 duration 234 mins.
Operation 3 on Machine 2 duration 79 mins.
Operation 4 on Machine 6 duration 164 mins.
Operation 5 on Machine 9 duration 195 mins.
Operation 6 on Machine 0 duration 33 mins.
Operation 7 on Machine 7 duration 20 mins.
Operation 8 on Machine 4 duration 29 mins.
Operation 9 on Machine 5 duration 214 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 202 mins.
Operation 1 on Machine 4 duration 83 mins.
Operation 2 on Machine 8 duration 177 mins.
Operation 3 on Machine 9 duration 96 mins.
Operation 4 on Machine 1 duration 181 mins.
Operation 5 on Machine 3 duration 243 mins.
Operation 6 on Machine 6 duration 44 mins.
Operation 7 on Machine 5 duration 65 mins.
Operation 8 on Machine 0 duration 67 mins.
Operation 9 on Machine 7 duration 31 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 22 mins.
Operation 1 on Machine 6 duration 106 mins.
Operation 2 on Machine 7 duration 69 mins.
Operation 3 on Machine 1 duration 147 mins.
Operation 4 on Machine 9 duration 136 mins.
Operation 5 on Machine 2 duration 74 mins.
Operation 6 on Machine 5 duration 239 mins.
Operation 7 on Machine 0 duration 158 mins.
Operation 8 on Machine 8 duration 12 mins.
Operation 9 on Machine 4 duration 60 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 205 mins.
Operation 1 on Machine 0 duration 120 mins.
Operation 2 on Machine 4 duration 108 mins.
Operation 3 on Machine 5 duration 71 mins.
Operation 4 on Machine 9 duration 182 mins.
Operation 5 on Machine 1 duration 180 mins.
Operation 6 on Machine 2 duration 213 mins.
Operation 7 on Machine 7 duration 23 mins.
Operation 8 on Machine 3 duration 82 mins.
Operation 9 on Machine 8 duration 24 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 84 mins.
Operation 1 on Machine 3 duration 145 mins.
Operation 2 on Machine 7 duration 24 mins.
Operation 3 on Machine 6 duration 56 mins.
Operation 4 on Machine 2 duration 22 mins.
Operation 5 on Machine 9 duration 17 mins.
Operation 6 on Machine 0 duration 147 mins.
Operation 7 on Machine 8 duration 71 mins.
Operation 8 on Machine 4 duration 229 mins.
Operation 9 on Machine 1 duration 179 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 56 mins.
Operation 1 on Machine 1 duration 51 mins.
Operation 2 on Machine 2 duration 124 mins.
Operation 3 on Machine 9 duration 88 mins.
Operation 4 on Machine 6 duration 123 mins.
Operation 5 on Machine 0 duration 160 mins.
Operation 6 on Machine 8 duration 42 mins.
Operation 7 on Machine 4 duration 35 mins.
Operation 8 on Machine 3 duration 97 mins.
Operation 9 on Machine 7 duration 47 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 178 mins.
Operation 1 on Machine 6 duration 115 mins.
Operation 2 on Machine 2 duration 95 mins.
Operation 3 on Machine 0 duration 9 mins.
Operation 4 on Machine 7 duration 214 mins.
Operation 5 on Machine 5 duration 57 mins.
Operation 6 on Machine 9 duration 85 mins.
Operation 7 on Machine 1 duration 147 mins.
Operation 8 on Machine 4 duration 147 mins.
Operation 9 on Machine 8 duration 15 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 238 mins.
Operation 1 on Machine 6 duration 106 mins.
Operation 2 on Machine 2 duration 7 mins.
Operation 3 on Machine 0 duration 126 mins.
Operation 4 on Machine 8 duration 122 mins.
Operation 5 on Machine 5 duration 182 mins.
Operation 6 on Machine 7 duration 21 mins.
Operation 7 on Machine 1 duration 95 mins.
Operation 8 on Machine 3 duration 162 mins.
Operation 9 on Machine 9 duration 93 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 9 duration 114 mins.
Operation 1 on Machine 6 duration 241 mins.
Operation 2 on Machine 7 duration 35 mins.
Operation 3 on Machine 4 duration 77 mins.
Operation 4 on Machine 8 duration 44 mins.
Operation 5 on Machine 1 duration 126 mins.
Operation 6 on Machine 2 duration 28 mins.
Operation 7 on Machine 3 duration 27 mins.
Operation 8 on Machine 5 duration 2 mins.
Operation 9 on Machine 0 duration 41 mins.
| null |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 1 duration 120 mins.
Job 7 Operation 3 duration 9 mins.
Job 8 Operation 3 duration 126 mins.
Job 6 Operation 5 duration 160 mins.
Job 1 Operation 6 duration 33 mins.
Job 5 Operation 6 duration 147 mins.
Job 0 Operation 7 duration 190 mins.
Job 3 Operation 7 duration 158 mins.
Job 2 Operation 8 duration 67 mins.
Job 9 Operation 9 duration 41 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 235 mins.
Job 6 Operation 1 duration 51 mins.
Job 3 Operation 3 duration 147 mins.
Job 2 Operation 4 duration 181 mins.
Job 4 Operation 5 duration 180 mins.
Job 9 Operation 5 duration 126 mins.
Job 7 Operation 7 duration 147 mins.
Job 8 Operation 7 duration 95 mins.
Job 0 Operation 8 duration 223 mins.
Job 5 Operation 9 duration 179 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 202 mins.
Job 0 Operation 1 duration 117 mins.
Job 6 Operation 2 duration 124 mins.
Job 7 Operation 2 duration 95 mins.
Job 8 Operation 2 duration 7 mins.
Job 1 Operation 3 duration 79 mins.
Job 5 Operation 4 duration 22 mins.
Job 3 Operation 5 duration 74 mins.
Job 4 Operation 6 duration 213 mins.
Job 9 Operation 6 duration 28 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 22 mins.
Job 7 Operation 0 duration 178 mins.
Job 1 Operation 1 duration 167 mins.
Job 5 Operation 1 duration 145 mins.
Job 0 Operation 3 duration 142 mins.
Job 2 Operation 5 duration 243 mins.
Job 9 Operation 7 duration 27 mins.
Job 4 Operation 8 duration 82 mins.
Job 6 Operation 8 duration 97 mins.
Job 8 Operation 8 duration 162 mins.
Machine 4 is used for the following Operations:
Job 8 Operation 0 duration 238 mins.
Job 2 Operation 1 duration 83 mins.
Job 4 Operation 2 duration 108 mins.
Job 9 Operation 3 duration 77 mins.
Job 0 Operation 6 duration 108 mins.
Job 6 Operation 7 duration 35 mins.
Job 1 Operation 8 duration 29 mins.
Job 5 Operation 8 duration 229 mins.
Job 7 Operation 8 duration 147 mins.
Job 3 Operation 9 duration 60 mins.
Machine 5 is used for the following Operations:
Job 5 Operation 0 duration 84 mins.
Job 6 Operation 0 duration 56 mins.
Job 4 Operation 3 duration 71 mins.
Job 7 Operation 5 duration 57 mins.
Job 8 Operation 5 duration 182 mins.
Job 3 Operation 6 duration 239 mins.
Job 2 Operation 7 duration 65 mins.
Job 9 Operation 8 duration 2 mins.
Job 0 Operation 9 duration 69 mins.
Job 1 Operation 9 duration 214 mins.
Machine 6 is used for the following Operations:
Job 4 Operation 0 duration 205 mins.
Job 3 Operation 1 duration 106 mins.
Job 7 Operation 1 duration 115 mins.
Job 8 Operation 1 duration 106 mins.
Job 9 Operation 1 duration 241 mins.
Job 0 Operation 2 duration 54 mins.
Job 5 Operation 3 duration 56 mins.
Job 1 Operation 4 duration 164 mins.
Job 6 Operation 4 duration 123 mins.
Job 2 Operation 6 duration 44 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 2 duration 69 mins.
Job 5 Operation 2 duration 24 mins.
Job 9 Operation 2 duration 35 mins.
Job 0 Operation 4 duration 130 mins.
Job 7 Operation 4 duration 214 mins.
Job 8 Operation 6 duration 21 mins.
Job 1 Operation 7 duration 20 mins.
Job 4 Operation 7 duration 23 mins.
Job 2 Operation 9 duration 31 mins.
Job 6 Operation 9 duration 47 mins.
Machine 8 is used for the following Operations:
Job 0 Operation 0 duration 210 mins.
Job 1 Operation 2 duration 234 mins.
Job 2 Operation 2 duration 177 mins.
Job 8 Operation 4 duration 122 mins.
Job 9 Operation 4 duration 44 mins.
Job 6 Operation 6 duration 42 mins.
Job 5 Operation 7 duration 71 mins.
Job 3 Operation 8 duration 12 mins.
Job 4 Operation 9 duration 24 mins.
Job 7 Operation 9 duration 15 mins.
Machine 9 is used for the following Operations:
Job 9 Operation 0 duration 114 mins.
Job 2 Operation 3 duration 96 mins.
Job 6 Operation 3 duration 88 mins.
Job 3 Operation 4 duration 136 mins.
Job 4 Operation 4 duration 182 mins.
Job 0 Operation 5 duration 45 mins.
Job 1 Operation 5 duration 195 mins.
Job 5 Operation 5 duration 17 mins.
Job 7 Operation 6 duration 85 mins.
Job 8 Operation 9 duration 93 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 2 : 0 + 202 -> 202
Job 3 Operation 0 on Machine 3 : 0 + 22 -> 22
Job 8 Operation 0 on Machine 4 : 0 + 238 -> 238
Job 6 Operation 0 on Machine 5 : 0 + 56 -> 56
Job 4 Operation 0 on Machine 6 : 0 + 205 -> 205
Job 0 Operation 0 on Machine 8 : 0 + 210 -> 210
Job 9 Operation 0 on Machine 9 : 0 + 114 -> 114
Job 7 Operation 0 on Machine 3 : 22 + 178 -> 200
Job 6 Operation 1 on Machine 1 : 56 + 51 -> 107
Job 5 Operation 0 on Machine 5 : 56 + 84 -> 140
Job 1 Operation 0 on Machine 1 : 107 + 235 -> 342
Job 5 Operation 1 on Machine 3 : 200 + 145 -> 345
Job 6 Operation 2 on Machine 2 : 202 + 124 -> 326
Job 4 Operation 1 on Machine 0 : 205 + 120 -> 325
Job 3 Operation 1 on Machine 6 : 205 + 106 -> 311
Job 2 Operation 1 on Machine 4 : 238 + 83 -> 321
Job 7 Operation 1 on Machine 6 : 311 + 115 -> 426
Job 3 Operation 2 on Machine 7 : 311 + 69 -> 380
Job 2 Operation 2 on Machine 8 : 321 + 177 -> 498
Job 4 Operation 2 on Machine 4 : 325 + 108 -> 433
Job 0 Operation 1 on Machine 2 : 326 + 117 -> 443
Job 6 Operation 3 on Machine 9 : 326 + 88 -> 414
Job 1 Operation 1 on Machine 3 : 345 + 167 -> 512
Job 3 Operation 3 on Machine 1 : 380 + 147 -> 527
Job 5 Operation 2 on Machine 7 : 380 + 24 -> 404
Job 4 Operation 3 on Machine 5 : 433 + 71 -> 504
Job 7 Operation 2 on Machine 2 : 443 + 95 -> 538
Job 0 Operation 2 on Machine 6 : 443 + 54 -> 497
Job 8 Operation 1 on Machine 6 : 497 + 106 -> 603
Job 2 Operation 3 on Machine 9 : 498 + 96 -> 594
Job 0 Operation 3 on Machine 3 : 512 + 142 -> 654
Job 1 Operation 2 on Machine 8 : 512 + 234 -> 746
Job 7 Operation 3 on Machine 0 : 538 + 9 -> 547
Job 7 Operation 4 on Machine 7 : 547 + 214 -> 761
Job 2 Operation 4 on Machine 1 : 594 + 181 -> 775
Job 4 Operation 4 on Machine 9 : 594 + 182 -> 776
Job 8 Operation 2 on Machine 2 : 603 + 7 -> 610
Job 5 Operation 3 on Machine 6 : 603 + 56 -> 659
Job 8 Operation 3 on Machine 0 : 610 + 126 -> 736
Job 5 Operation 4 on Machine 2 : 659 + 22 -> 681
Job 9 Operation 1 on Machine 6 : 659 + 241 -> 900
Job 1 Operation 3 on Machine 2 : 746 + 79 -> 825
Job 8 Operation 4 on Machine 8 : 746 + 122 -> 868
Job 7 Operation 5 on Machine 5 : 761 + 57 -> 818
Job 0 Operation 4 on Machine 7 : 761 + 130 -> 891
Job 2 Operation 5 on Machine 3 : 775 + 243 -> 1018
Job 4 Operation 5 on Machine 1 : 776 + 180 -> 956
Job 5 Operation 5 on Machine 9 : 776 + 17 -> 793
Job 5 Operation 6 on Machine 0 : 793 + 147 -> 940
Job 7 Operation 6 on Machine 9 : 818 + 85 -> 903
Job 8 Operation 5 on Machine 5 : 868 + 182 -> 1050
Job 1 Operation 4 on Machine 6 : 900 + 164 -> 1064
Job 9 Operation 2 on Machine 7 : 900 + 35 -> 935
Job 0 Operation 5 on Machine 9 : 903 + 45 -> 948
Job 5 Operation 7 on Machine 8 : 940 + 71 -> 1011
Job 0 Operation 6 on Machine 4 : 948 + 108 -> 1056
Job 3 Operation 4 on Machine 9 : 948 + 136 -> 1084
Job 7 Operation 7 on Machine 1 : 956 + 147 -> 1103
Job 8 Operation 6 on Machine 7 : 1050 + 21 -> 1071
Job 0 Operation 7 on Machine 0 : 1056 + 190 -> 1246
Job 9 Operation 3 on Machine 4 : 1056 + 77 -> 1133
Job 2 Operation 6 on Machine 6 : 1064 + 44 -> 1108
Job 3 Operation 5 on Machine 2 : 1084 + 74 -> 1158
Job 1 Operation 5 on Machine 9 : 1084 + 195 -> 1279
Job 8 Operation 7 on Machine 1 : 1103 + 95 -> 1198
Job 2 Operation 7 on Machine 5 : 1108 + 65 -> 1173
Job 6 Operation 4 on Machine 6 : 1108 + 123 -> 1231
Job 5 Operation 8 on Machine 4 : 1133 + 229 -> 1362
Job 9 Operation 4 on Machine 8 : 1133 + 44 -> 1177
Job 4 Operation 6 on Machine 2 : 1158 + 213 -> 1371
Job 3 Operation 6 on Machine 5 : 1173 + 239 -> 1412
Job 9 Operation 5 on Machine 1 : 1198 + 126 -> 1324
Job 8 Operation 8 on Machine 3 : 1198 + 162 -> 1360
Job 2 Operation 8 on Machine 0 : 1246 + 67 -> 1313
Job 1 Operation 6 on Machine 0 : 1313 + 33 -> 1346
Job 0 Operation 8 on Machine 1 : 1324 + 223 -> 1547
Job 6 Operation 5 on Machine 0 : 1346 + 160 -> 1506
Job 1 Operation 7 on Machine 7 : 1346 + 20 -> 1366
Job 8 Operation 9 on Machine 9 : 1360 + 93 -> 1453
Job 1 Operation 8 on Machine 4 : 1366 + 29 -> 1395
Job 9 Operation 6 on Machine 2 : 1371 + 28 -> 1399
Job 4 Operation 7 on Machine 7 : 1371 + 23 -> 1394
Job 2 Operation 9 on Machine 7 : 1394 + 31 -> 1425
Job 7 Operation 8 on Machine 4 : 1395 + 147 -> 1542
Job 9 Operation 7 on Machine 3 : 1399 + 27 -> 1426
Job 1 Operation 9 on Machine 5 : 1412 + 214 -> 1626
Job 4 Operation 8 on Machine 3 : 1426 + 82 -> 1508
Job 3 Operation 7 on Machine 0 : 1506 + 158 -> 1664
Job 6 Operation 6 on Machine 8 : 1506 + 42 -> 1548
Job 5 Operation 9 on Machine 1 : 1547 + 179 -> 1726
Job 6 Operation 7 on Machine 4 : 1548 + 35 -> 1583
Job 6 Operation 8 on Machine 3 : 1583 + 97 -> 1680
Job 9 Operation 8 on Machine 5 : 1626 + 2 -> 1628
Job 0 Operation 9 on Machine 5 : 1628 + 69 -> 1697
Job 9 Operation 9 on Machine 0 : 1664 + 41 -> 1705
Job 3 Operation 8 on Machine 8 : 1664 + 12 -> 1676
Job 3 Operation 9 on Machine 4 : 1676 + 60 -> 1736
Job 4 Operation 9 on Machine 8 : 1676 + 24 -> 1700
Job 6 Operation 9 on Machine 7 : 1680 + 47 -> 1727
Job 7 Operation 9 on Machine 8 : 1700 + 15 -> 1715
Makespan: 1736.0, as it is the maximum end completion time of Operation 9
| null |
|
3 | 2 |
Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 232 mins.
Operation 1 on Machine 1 duration 63 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 126 mins.
Operation 1 on Machine 0 duration 61 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 324 mins.
Operation 1 on Machine 1 duration 347 mins.
| null |
Optimize schedule for 3 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 232 mins.
Job 2 Operation 0 duration 324 mins.
Job 1 Operation 1 duration 61 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 126 mins.
Job 0 Operation 1 duration 63 mins.
Job 2 Operation 1 duration 347 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 324 -> 324
Job 1 Operation 0 on Machine 1 : 0 + 126 -> 126
Job 1 Operation 1 on Machine 0 : 324 + 61 -> 385
Job 2 Operation 1 on Machine 1 : 324 + 347 -> 671
Job 0 Operation 0 on Machine 0 : 385 + 232 -> 617
Job 0 Operation 1 on Machine 1 : 671 + 63 -> 734
Makespan: 734.0, as it is the maximum end completion time of Operation 1
| null |
|
20 | 20 |
Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 14 duration 57 mins.
Operation 1 on Machine 7 duration 5 mins.
Operation 2 on Machine 4 duration 95 mins.
Operation 3 on Machine 15 duration 52 mins.
Operation 4 on Machine 18 duration 18 mins.
Operation 5 on Machine 1 duration 48 mins.
Operation 6 on Machine 10 duration 51 mins.
Operation 7 on Machine 12 duration 81 mins.
Operation 8 on Machine 5 duration 17 mins.
Operation 9 on Machine 11 duration 54 mins.
Operation 10 on Machine 13 duration 52 mins.
Operation 11 on Machine 9 duration 5 mins.
Operation 12 on Machine 8 duration 1 mins.
Operation 13 on Machine 19 duration 63 mins.
Operation 14 on Machine 6 duration 59 mins.
Operation 15 on Machine 0 duration 24 mins.
Operation 16 on Machine 2 duration 45 mins.
Operation 17 on Machine 3 duration 77 mins.
Operation 18 on Machine 17 duration 92 mins.
Operation 19 on Machine 16 duration 44 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 15 duration 59 mins.
Operation 1 on Machine 11 duration 87 mins.
Operation 2 on Machine 18 duration 96 mins.
Operation 3 on Machine 0 duration 24 mins.
Operation 4 on Machine 2 duration 47 mins.
Operation 5 on Machine 17 duration 46 mins.
Operation 6 on Machine 3 duration 82 mins.
Operation 7 on Machine 16 duration 36 mins.
Operation 8 on Machine 6 duration 31 mins.
Operation 9 on Machine 9 duration 42 mins.
Operation 10 on Machine 12 duration 44 mins.
Operation 11 on Machine 5 duration 56 mins.
Operation 12 on Machine 14 duration 61 mins.
Operation 13 on Machine 8 duration 56 mins.
Operation 14 on Machine 7 duration 48 mins.
Operation 15 on Machine 13 duration 4 mins.
Operation 16 on Machine 1 duration 65 mins.
Operation 17 on Machine 10 duration 78 mins.
Operation 18 on Machine 4 duration 2 mins.
Operation 19 on Machine 19 duration 8 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 8 duration 53 mins.
Operation 1 on Machine 15 duration 36 mins.
Operation 2 on Machine 0 duration 5 mins.
Operation 3 on Machine 1 duration 58 mins.
Operation 4 on Machine 13 duration 20 mins.
Operation 5 on Machine 9 duration 32 mins.
Operation 6 on Machine 3 duration 5 mins.
Operation 7 on Machine 7 duration 66 mins.
Operation 8 on Machine 17 duration 48 mins.
Operation 9 on Machine 2 duration 59 mins.
Operation 10 on Machine 6 duration 68 mins.
Operation 11 on Machine 14 duration 56 mins.
Operation 12 on Machine 12 duration 85 mins.
Operation 13 on Machine 5 duration 77 mins.
Operation 14 on Machine 4 duration 16 mins.
Operation 15 on Machine 19 duration 10 mins.
Operation 16 on Machine 16 duration 61 mins.
Operation 17 on Machine 11 duration 26 mins.
Operation 18 on Machine 10 duration 21 mins.
Operation 19 on Machine 18 duration 75 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 28 mins.
Operation 1 on Machine 18 duration 52 mins.
Operation 2 on Machine 12 duration 19 mins.
Operation 3 on Machine 0 duration 21 mins.
Operation 4 on Machine 4 duration 68 mins.
Operation 5 on Machine 9 duration 11 mins.
Operation 6 on Machine 7 duration 58 mins.
Operation 7 on Machine 17 duration 26 mins.
Operation 8 on Machine 1 duration 64 mins.
Operation 9 on Machine 5 duration 97 mins.
Operation 10 on Machine 15 duration 54 mins.
Operation 11 on Machine 13 duration 32 mins.
Operation 12 on Machine 16 duration 72 mins.
Operation 13 on Machine 6 duration 43 mins.
Operation 14 on Machine 10 duration 24 mins.
Operation 15 on Machine 8 duration 16 mins.
Operation 16 on Machine 19 duration 73 mins.
Operation 17 on Machine 11 duration 74 mins.
Operation 18 on Machine 2 duration 5 mins.
Operation 19 on Machine 14 duration 41 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 10 duration 39 mins.
Operation 1 on Machine 11 duration 37 mins.
Operation 2 on Machine 3 duration 60 mins.
Operation 3 on Machine 7 duration 82 mins.
Operation 4 on Machine 5 duration 66 mins.
Operation 5 on Machine 0 duration 53 mins.
Operation 6 on Machine 8 duration 12 mins.
Operation 7 on Machine 17 duration 48 mins.
Operation 8 on Machine 15 duration 18 mins.
Operation 9 on Machine 16 duration 18 mins.
Operation 10 on Machine 18 duration 39 mins.
Operation 11 on Machine 9 duration 38 mins.
Operation 12 on Machine 12 duration 61 mins.
Operation 13 on Machine 2 duration 96 mins.
Operation 14 on Machine 1 duration 47 mins.
Operation 15 on Machine 4 duration 34 mins.
Operation 16 on Machine 14 duration 90 mins.
Operation 17 on Machine 13 duration 42 mins.
Operation 18 on Machine 6 duration 31 mins.
Operation 19 on Machine 19 duration 23 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 53 mins.
Operation 1 on Machine 14 duration 96 mins.
Operation 2 on Machine 11 duration 94 mins.
Operation 3 on Machine 2 duration 82 mins.
Operation 4 on Machine 6 duration 95 mins.
Operation 5 on Machine 18 duration 51 mins.
Operation 6 on Machine 5 duration 29 mins.
Operation 7 on Machine 8 duration 35 mins.
Operation 8 on Machine 17 duration 59 mins.
Operation 9 on Machine 16 duration 35 mins.
Operation 10 on Machine 0 duration 45 mins.
Operation 11 on Machine 10 duration 71 mins.
Operation 12 on Machine 4 duration 56 mins.
Operation 13 on Machine 19 duration 69 mins.
Operation 14 on Machine 9 duration 71 mins.
Operation 15 on Machine 3 duration 46 mins.
Operation 16 on Machine 7 duration 30 mins.
Operation 17 on Machine 13 duration 32 mins.
Operation 18 on Machine 12 duration 32 mins.
Operation 19 on Machine 15 duration 91 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 8 duration 57 mins.
Operation 1 on Machine 13 duration 16 mins.
Operation 2 on Machine 6 duration 96 mins.
Operation 3 on Machine 15 duration 54 mins.
Operation 4 on Machine 0 duration 25 mins.
Operation 5 on Machine 7 duration 89 mins.
Operation 6 on Machine 1 duration 65 mins.
Operation 7 on Machine 16 duration 2 mins.
Operation 8 on Machine 3 duration 86 mins.
Operation 9 on Machine 17 duration 38 mins.
Operation 10 on Machine 12 duration 47 mins.
Operation 11 on Machine 9 duration 22 mins.
Operation 12 on Machine 19 duration 64 mins.
Operation 13 on Machine 10 duration 11 mins.
Operation 14 on Machine 14 duration 15 mins.
Operation 15 on Machine 18 duration 3 mins.
Operation 16 on Machine 11 duration 57 mins.
Operation 17 on Machine 5 duration 93 mins.
Operation 18 on Machine 4 duration 10 mins.
Operation 19 on Machine 2 duration 8 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 9 mins.
Operation 1 on Machine 1 duration 62 mins.
Operation 2 on Machine 18 duration 37 mins.
Operation 3 on Machine 4 duration 92 mins.
Operation 4 on Machine 11 duration 96 mins.
Operation 5 on Machine 13 duration 83 mins.
Operation 6 on Machine 12 duration 59 mins.
Operation 7 on Machine 15 duration 90 mins.
Operation 8 on Machine 9 duration 80 mins.
Operation 9 on Machine 16 duration 86 mins.
Operation 10 on Machine 8 duration 64 mins.
Operation 11 on Machine 6 duration 24 mins.
Operation 12 on Machine 5 duration 63 mins.
Operation 13 on Machine 17 duration 15 mins.
Operation 14 on Machine 3 duration 29 mins.
Operation 15 on Machine 14 duration 1 mins.
Operation 16 on Machine 10 duration 25 mins.
Operation 17 on Machine 19 duration 9 mins.
Operation 18 on Machine 7 duration 95 mins.
Operation 19 on Machine 0 duration 53 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 18 duration 12 mins.
Operation 1 on Machine 4 duration 5 mins.
Operation 2 on Machine 6 duration 24 mins.
Operation 3 on Machine 11 duration 9 mins.
Operation 4 on Machine 12 duration 73 mins.
Operation 5 on Machine 1 duration 44 mins.
Operation 6 on Machine 7 duration 34 mins.
Operation 7 on Machine 16 duration 26 mins.
Operation 8 on Machine 9 duration 70 mins.
Operation 9 on Machine 0 duration 39 mins.
Operation 10 on Machine 17 duration 63 mins.
Operation 11 on Machine 10 duration 91 mins.
Operation 12 on Machine 13 duration 22 mins.
Operation 13 on Machine 14 duration 13 mins.
Operation 14 on Machine 5 duration 65 mins.
Operation 15 on Machine 2 duration 53 mins.
Operation 16 on Machine 3 duration 9 mins.
Operation 17 on Machine 8 duration 84 mins.
Operation 18 on Machine 15 duration 56 mins.
Operation 19 on Machine 19 duration 56 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 13 duration 49 mins.
Operation 1 on Machine 1 duration 72 mins.
Operation 2 on Machine 2 duration 89 mins.
Operation 3 on Machine 6 duration 69 mins.
Operation 4 on Machine 3 duration 54 mins.
Operation 5 on Machine 5 duration 85 mins.
Operation 6 on Machine 9 duration 37 mins.
Operation 7 on Machine 8 duration 69 mins.
Operation 8 on Machine 14 duration 12 mins.
Operation 9 on Machine 17 duration 51 mins.
Operation 10 on Machine 11 duration 22 mins.
Operation 11 on Machine 10 duration 10 mins.
Operation 12 on Machine 19 duration 40 mins.
Operation 13 on Machine 16 duration 87 mins.
Operation 14 on Machine 7 duration 59 mins.
Operation 15 on Machine 18 duration 30 mins.
Operation 16 on Machine 15 duration 76 mins.
Operation 17 on Machine 4 duration 27 mins.
Operation 18 on Machine 0 duration 89 mins.
Operation 19 on Machine 12 duration 88 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 5 duration 40 mins.
Operation 1 on Machine 14 duration 83 mins.
Operation 2 on Machine 16 duration 70 mins.
Operation 3 on Machine 4 duration 1 mins.
Operation 4 on Machine 19 duration 54 mins.
Operation 5 on Machine 11 duration 91 mins.
Operation 6 on Machine 1 duration 78 mins.
Operation 7 on Machine 7 duration 6 mins.
Operation 8 on Machine 18 duration 77 mins.
Operation 9 on Machine 8 duration 22 mins.
Operation 10 on Machine 15 duration 44 mins.
Operation 11 on Machine 12 duration 50 mins.
Operation 12 on Machine 10 duration 46 mins.
Operation 13 on Machine 2 duration 37 mins.
Operation 14 on Machine 9 duration 41 mins.
Operation 15 on Machine 13 duration 88 mins.
Operation 16 on Machine 0 duration 8 mins.
Operation 17 on Machine 6 duration 66 mins.
Operation 18 on Machine 17 duration 11 mins.
Operation 19 on Machine 3 duration 87 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 8 duration 40 mins.
Operation 1 on Machine 10 duration 84 mins.
Operation 2 on Machine 9 duration 73 mins.
Operation 3 on Machine 4 duration 25 mins.
Operation 4 on Machine 13 duration 19 mins.
Operation 5 on Machine 16 duration 7 mins.
Operation 6 on Machine 6 duration 58 mins.
Operation 7 on Machine 5 duration 82 mins.
Operation 8 on Machine 17 duration 4 mins.
Operation 9 on Machine 11 duration 23 mins.
Operation 10 on Machine 15 duration 12 mins.
Operation 11 on Machine 19 duration 40 mins.
Operation 12 on Machine 7 duration 94 mins.
Operation 13 on Machine 18 duration 6 mins.
Operation 14 on Machine 2 duration 5 mins.
Operation 15 on Machine 3 duration 24 mins.
Operation 16 on Machine 0 duration 73 mins.
Operation 17 on Machine 12 duration 41 mins.
Operation 18 on Machine 14 duration 81 mins.
Operation 19 on Machine 1 duration 69 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 7 duration 96 mins.
Operation 1 on Machine 1 duration 22 mins.
Operation 2 on Machine 0 duration 71 mins.
Operation 3 on Machine 9 duration 89 mins.
Operation 4 on Machine 11 duration 4 mins.
Operation 5 on Machine 14 duration 93 mins.
Operation 6 on Machine 5 duration 63 mins.
Operation 7 on Machine 2 duration 98 mins.
Operation 8 on Machine 3 duration 22 mins.
Operation 9 on Machine 8 duration 62 mins.
Operation 10 on Machine 17 duration 34 mins.
Operation 11 on Machine 13 duration 20 mins.
Operation 12 on Machine 6 duration 85 mins.
Operation 13 on Machine 16 duration 29 mins.
Operation 14 on Machine 19 duration 43 mins.
Operation 15 on Machine 12 duration 15 mins.
Operation 16 on Machine 18 duration 60 mins.
Operation 17 on Machine 15 duration 73 mins.
Operation 18 on Machine 10 duration 62 mins.
Operation 19 on Machine 4 duration 36 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 5 duration 80 mins.
Operation 1 on Machine 1 duration 67 mins.
Operation 2 on Machine 18 duration 18 mins.
Operation 3 on Machine 0 duration 85 mins.
Operation 4 on Machine 8 duration 61 mins.
Operation 5 on Machine 14 duration 96 mins.
Operation 6 on Machine 12 duration 35 mins.
Operation 7 on Machine 11 duration 65 mins.
Operation 8 on Machine 10 duration 2 mins.
Operation 9 on Machine 6 duration 94 mins.
Operation 10 on Machine 19 duration 46 mins.
Operation 11 on Machine 17 duration 66 mins.
Operation 12 on Machine 15 duration 31 mins.
Operation 13 on Machine 16 duration 70 mins.
Operation 14 on Machine 7 duration 92 mins.
Operation 15 on Machine 2 duration 36 mins.
Operation 16 on Machine 4 duration 64 mins.
Operation 17 on Machine 9 duration 34 mins.
Operation 18 on Machine 3 duration 31 mins.
Operation 19 on Machine 13 duration 54 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 2 duration 40 mins.
Operation 1 on Machine 11 duration 11 mins.
Operation 2 on Machine 17 duration 51 mins.
Operation 3 on Machine 13 duration 93 mins.
Operation 4 on Machine 15 duration 84 mins.
Operation 5 on Machine 19 duration 30 mins.
Operation 6 on Machine 12 duration 4 mins.
Operation 7 on Machine 8 duration 98 mins.
Operation 8 on Machine 10 duration 51 mins.
Operation 9 on Machine 7 duration 77 mins.
Operation 10 on Machine 4 duration 30 mins.
Operation 11 on Machine 5 duration 10 mins.
Operation 12 on Machine 16 duration 20 mins.
Operation 13 on Machine 9 duration 89 mins.
Operation 14 on Machine 18 duration 54 mins.
Operation 15 on Machine 1 duration 20 mins.
Operation 16 on Machine 14 duration 2 mins.
Operation 17 on Machine 0 duration 21 mins.
Operation 18 on Machine 3 duration 35 mins.
Operation 19 on Machine 6 duration 66 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 9 duration 77 mins.
Operation 1 on Machine 12 duration 19 mins.
Operation 2 on Machine 4 duration 76 mins.
Operation 3 on Machine 17 duration 56 mins.
Operation 4 on Machine 7 duration 96 mins.
Operation 5 on Machine 15 duration 89 mins.
Operation 6 on Machine 13 duration 69 mins.
Operation 7 on Machine 11 duration 38 mins.
Operation 8 on Machine 10 duration 94 mins.
Operation 9 on Machine 14 duration 36 mins.
Operation 10 on Machine 16 duration 98 mins.
Operation 11 on Machine 5 duration 17 mins.
Operation 12 on Machine 6 duration 57 mins.
Operation 13 on Machine 18 duration 4 mins.
Operation 14 on Machine 8 duration 10 mins.
Operation 15 on Machine 3 duration 56 mins.
Operation 16 on Machine 1 duration 63 mins.
Operation 17 on Machine 19 duration 74 mins.
Operation 18 on Machine 2 duration 30 mins.
Operation 19 on Machine 0 duration 55 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 1 duration 43 mins.
Operation 1 on Machine 2 duration 34 mins.
Operation 2 on Machine 17 duration 80 mins.
Operation 3 on Machine 8 duration 18 mins.
Operation 4 on Machine 11 duration 55 mins.
Operation 5 on Machine 10 duration 31 mins.
Operation 6 on Machine 14 duration 69 mins.
Operation 7 on Machine 4 duration 1 mins.
Operation 8 on Machine 3 duration 46 mins.
Operation 9 on Machine 18 duration 63 mins.
Operation 10 on Machine 6 duration 95 mins.
Operation 11 on Machine 7 duration 88 mins.
Operation 12 on Machine 19 duration 15 mins.
Operation 13 on Machine 5 duration 33 mins.
Operation 14 on Machine 9 duration 52 mins.
Operation 15 on Machine 16 duration 83 mins.
Operation 16 on Machine 15 duration 10 mins.
Operation 17 on Machine 12 duration 82 mins.
Operation 18 on Machine 13 duration 83 mins.
Operation 19 on Machine 0 duration 88 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 7 duration 51 mins.
Operation 1 on Machine 10 duration 43 mins.
Operation 2 on Machine 13 duration 40 mins.
Operation 3 on Machine 16 duration 90 mins.
Operation 4 on Machine 4 duration 45 mins.
Operation 5 on Machine 14 duration 82 mins.
Operation 6 on Machine 1 duration 24 mins.
Operation 7 on Machine 0 duration 28 mins.
Operation 8 on Machine 2 duration 62 mins.
Operation 9 on Machine 18 duration 74 mins.
Operation 10 on Machine 15 duration 51 mins.
Operation 11 on Machine 5 duration 48 mins.
Operation 12 on Machine 6 duration 83 mins.
Operation 13 on Machine 9 duration 4 mins.
Operation 14 on Machine 19 duration 51 mins.
Operation 15 on Machine 12 duration 67 mins.
Operation 16 on Machine 8 duration 65 mins.
Operation 17 on Machine 11 duration 36 mins.
Operation 18 on Machine 3 duration 19 mins.
Operation 19 on Machine 17 duration 71 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 18 duration 16 mins.
Operation 1 on Machine 9 duration 16 mins.
Operation 2 on Machine 11 duration 16 mins.
Operation 3 on Machine 1 duration 55 mins.
Operation 4 on Machine 0 duration 35 mins.
Operation 5 on Machine 14 duration 28 mins.
Operation 6 on Machine 7 duration 21 mins.
Operation 7 on Machine 4 duration 38 mins.
Operation 8 on Machine 15 duration 20 mins.
Operation 9 on Machine 5 duration 50 mins.
Operation 10 on Machine 12 duration 93 mins.
Operation 11 on Machine 6 duration 94 mins.
Operation 12 on Machine 2 duration 58 mins.
Operation 13 on Machine 16 duration 44 mins.
Operation 14 on Machine 3 duration 45 mins.
Operation 15 on Machine 19 duration 40 mins.
Operation 16 on Machine 8 duration 8 mins.
Operation 17 on Machine 17 duration 69 mins.
Operation 18 on Machine 13 duration 90 mins.
Operation 19 on Machine 10 duration 81 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 14 duration 17 mins.
Operation 1 on Machine 6 duration 98 mins.
Operation 2 on Machine 15 duration 43 mins.
Operation 3 on Machine 11 duration 55 mins.
Operation 4 on Machine 3 duration 46 mins.
Operation 5 on Machine 7 duration 38 mins.
Operation 6 on Machine 19 duration 69 mins.
Operation 7 on Machine 12 duration 51 mins.
Operation 8 on Machine 0 duration 54 mins.
Operation 9 on Machine 18 duration 59 mins.
Operation 10 on Machine 1 duration 33 mins.
Operation 11 on Machine 17 duration 64 mins.
Operation 12 on Machine 2 duration 20 mins.
Operation 13 on Machine 16 duration 73 mins.
Operation 14 on Machine 10 duration 88 mins.
Operation 15 on Machine 13 duration 30 mins.
Operation 16 on Machine 4 duration 50 mins.
Operation 17 on Machine 5 duration 96 mins.
Operation 18 on Machine 8 duration 2 mins.
Operation 19 on Machine 9 duration 81 mins.
| null |
Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 2 duration 5 mins.
Job 12 Operation 2 duration 71 mins.
Job 1 Operation 3 duration 24 mins.
Job 3 Operation 3 duration 21 mins.
Job 13 Operation 3 duration 85 mins.
Job 6 Operation 4 duration 25 mins.
Job 18 Operation 4 duration 35 mins.
Job 4 Operation 5 duration 53 mins.
Job 17 Operation 7 duration 28 mins.
Job 19 Operation 8 duration 54 mins.
Job 8 Operation 9 duration 39 mins.
Job 5 Operation 10 duration 45 mins.
Job 0 Operation 15 duration 24 mins.
Job 10 Operation 16 duration 8 mins.
Job 11 Operation 16 duration 73 mins.
Job 14 Operation 17 duration 21 mins.
Job 9 Operation 18 duration 89 mins.
Job 7 Operation 19 duration 53 mins.
Job 15 Operation 19 duration 55 mins.
Job 16 Operation 19 duration 88 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 53 mins.
Job 16 Operation 0 duration 43 mins.
Job 7 Operation 1 duration 62 mins.
Job 9 Operation 1 duration 72 mins.
Job 12 Operation 1 duration 22 mins.
Job 13 Operation 1 duration 67 mins.
Job 2 Operation 3 duration 58 mins.
Job 18 Operation 3 duration 55 mins.
Job 0 Operation 5 duration 48 mins.
Job 8 Operation 5 duration 44 mins.
Job 6 Operation 6 duration 65 mins.
Job 10 Operation 6 duration 78 mins.
Job 17 Operation 6 duration 24 mins.
Job 3 Operation 8 duration 64 mins.
Job 19 Operation 10 duration 33 mins.
Job 4 Operation 14 duration 47 mins.
Job 14 Operation 15 duration 20 mins.
Job 1 Operation 16 duration 65 mins.
Job 15 Operation 16 duration 63 mins.
Job 11 Operation 19 duration 69 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 9 mins.
Job 14 Operation 0 duration 40 mins.
Job 16 Operation 1 duration 34 mins.
Job 9 Operation 2 duration 89 mins.
Job 5 Operation 3 duration 82 mins.
Job 1 Operation 4 duration 47 mins.
Job 12 Operation 7 duration 98 mins.
Job 17 Operation 8 duration 62 mins.
Job 2 Operation 9 duration 59 mins.
Job 18 Operation 12 duration 58 mins.
Job 19 Operation 12 duration 20 mins.
Job 4 Operation 13 duration 96 mins.
Job 10 Operation 13 duration 37 mins.
Job 11 Operation 14 duration 5 mins.
Job 8 Operation 15 duration 53 mins.
Job 13 Operation 15 duration 36 mins.
Job 0 Operation 16 duration 45 mins.
Job 3 Operation 18 duration 5 mins.
Job 15 Operation 18 duration 30 mins.
Job 6 Operation 19 duration 8 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 28 mins.
Job 4 Operation 2 duration 60 mins.
Job 9 Operation 4 duration 54 mins.
Job 19 Operation 4 duration 46 mins.
Job 1 Operation 6 duration 82 mins.
Job 2 Operation 6 duration 5 mins.
Job 6 Operation 8 duration 86 mins.
Job 12 Operation 8 duration 22 mins.
Job 16 Operation 8 duration 46 mins.
Job 7 Operation 14 duration 29 mins.
Job 18 Operation 14 duration 45 mins.
Job 5 Operation 15 duration 46 mins.
Job 11 Operation 15 duration 24 mins.
Job 15 Operation 15 duration 56 mins.
Job 8 Operation 16 duration 9 mins.
Job 0 Operation 17 duration 77 mins.
Job 13 Operation 18 duration 31 mins.
Job 14 Operation 18 duration 35 mins.
Job 17 Operation 18 duration 19 mins.
Job 10 Operation 19 duration 87 mins.
Machine 4 is used for the following Operations:
Job 8 Operation 1 duration 5 mins.
Job 0 Operation 2 duration 95 mins.
Job 15 Operation 2 duration 76 mins.
Job 7 Operation 3 duration 92 mins.
Job 10 Operation 3 duration 1 mins.
Job 11 Operation 3 duration 25 mins.
Job 3 Operation 4 duration 68 mins.
Job 17 Operation 4 duration 45 mins.
Job 16 Operation 7 duration 1 mins.
Job 18 Operation 7 duration 38 mins.
Job 14 Operation 10 duration 30 mins.
Job 5 Operation 12 duration 56 mins.
Job 2 Operation 14 duration 16 mins.
Job 4 Operation 15 duration 34 mins.
Job 13 Operation 16 duration 64 mins.
Job 19 Operation 16 duration 50 mins.
Job 9 Operation 17 duration 27 mins.
Job 1 Operation 18 duration 2 mins.
Job 6 Operation 18 duration 10 mins.
Job 12 Operation 19 duration 36 mins.
Machine 5 is used for the following Operations:
Job 10 Operation 0 duration 40 mins.
Job 13 Operation 0 duration 80 mins.
Job 4 Operation 4 duration 66 mins.
Job 9 Operation 5 duration 85 mins.
Job 5 Operation 6 duration 29 mins.
Job 12 Operation 6 duration 63 mins.
Job 11 Operation 7 duration 82 mins.
Job 0 Operation 8 duration 17 mins.
Job 3 Operation 9 duration 97 mins.
Job 18 Operation 9 duration 50 mins.
Job 1 Operation 11 duration 56 mins.
Job 14 Operation 11 duration 10 mins.
Job 15 Operation 11 duration 17 mins.
Job 17 Operation 11 duration 48 mins.
Job 7 Operation 12 duration 63 mins.
Job 2 Operation 13 duration 77 mins.
Job 16 Operation 13 duration 33 mins.
Job 8 Operation 14 duration 65 mins.
Job 6 Operation 17 duration 93 mins.
Job 19 Operation 17 duration 96 mins.
Machine 6 is used for the following Operations:
Job 19 Operation 1 duration 98 mins.
Job 6 Operation 2 duration 96 mins.
Job 8 Operation 2 duration 24 mins.
Job 9 Operation 3 duration 69 mins.
Job 5 Operation 4 duration 95 mins.
Job 11 Operation 6 duration 58 mins.
Job 1 Operation 8 duration 31 mins.
Job 13 Operation 9 duration 94 mins.
Job 2 Operation 10 duration 68 mins.
Job 16 Operation 10 duration 95 mins.
Job 7 Operation 11 duration 24 mins.
Job 18 Operation 11 duration 94 mins.
Job 12 Operation 12 duration 85 mins.
Job 15 Operation 12 duration 57 mins.
Job 17 Operation 12 duration 83 mins.
Job 3 Operation 13 duration 43 mins.
Job 0 Operation 14 duration 59 mins.
Job 10 Operation 17 duration 66 mins.
Job 4 Operation 18 duration 31 mins.
Job 14 Operation 19 duration 66 mins.
Machine 7 is used for the following Operations:
Job 12 Operation 0 duration 96 mins.
Job 17 Operation 0 duration 51 mins.
Job 0 Operation 1 duration 5 mins.
Job 4 Operation 3 duration 82 mins.
Job 15 Operation 4 duration 96 mins.
Job 6 Operation 5 duration 89 mins.
Job 19 Operation 5 duration 38 mins.
Job 3 Operation 6 duration 58 mins.
Job 8 Operation 6 duration 34 mins.
Job 18 Operation 6 duration 21 mins.
Job 2 Operation 7 duration 66 mins.
Job 10 Operation 7 duration 6 mins.
Job 14 Operation 9 duration 77 mins.
Job 16 Operation 11 duration 88 mins.
Job 11 Operation 12 duration 94 mins.
Job 1 Operation 14 duration 48 mins.
Job 9 Operation 14 duration 59 mins.
Job 13 Operation 14 duration 92 mins.
Job 5 Operation 16 duration 30 mins.
Job 7 Operation 18 duration 95 mins.
Machine 8 is used for the following Operations:
Job 2 Operation 0 duration 53 mins.
Job 6 Operation 0 duration 57 mins.
Job 11 Operation 0 duration 40 mins.
Job 16 Operation 3 duration 18 mins.
Job 13 Operation 4 duration 61 mins.
Job 4 Operation 6 duration 12 mins.
Job 5 Operation 7 duration 35 mins.
Job 9 Operation 7 duration 69 mins.
Job 14 Operation 7 duration 98 mins.
Job 10 Operation 9 duration 22 mins.
Job 12 Operation 9 duration 62 mins.
Job 7 Operation 10 duration 64 mins.
Job 0 Operation 12 duration 1 mins.
Job 1 Operation 13 duration 56 mins.
Job 15 Operation 14 duration 10 mins.
Job 3 Operation 15 duration 16 mins.
Job 17 Operation 16 duration 65 mins.
Job 18 Operation 16 duration 8 mins.
Job 8 Operation 17 duration 84 mins.
Job 19 Operation 18 duration 2 mins.
Machine 9 is used for the following Operations:
Job 15 Operation 0 duration 77 mins.
Job 18 Operation 1 duration 16 mins.
Job 11 Operation 2 duration 73 mins.
Job 12 Operation 3 duration 89 mins.
Job 2 Operation 5 duration 32 mins.
Job 3 Operation 5 duration 11 mins.
Job 9 Operation 6 duration 37 mins.
Job 7 Operation 8 duration 80 mins.
Job 8 Operation 8 duration 70 mins.
Job 1 Operation 9 duration 42 mins.
Job 0 Operation 11 duration 5 mins.
Job 4 Operation 11 duration 38 mins.
Job 6 Operation 11 duration 22 mins.
Job 14 Operation 13 duration 89 mins.
Job 17 Operation 13 duration 4 mins.
Job 5 Operation 14 duration 71 mins.
Job 10 Operation 14 duration 41 mins.
Job 16 Operation 14 duration 52 mins.
Job 13 Operation 17 duration 34 mins.
Job 19 Operation 19 duration 81 mins.
Machine 10 is used for the following Operations:
Job 4 Operation 0 duration 39 mins.
Job 11 Operation 1 duration 84 mins.
Job 17 Operation 1 duration 43 mins.
Job 16 Operation 5 duration 31 mins.
Job 0 Operation 6 duration 51 mins.
Job 13 Operation 8 duration 2 mins.
Job 14 Operation 8 duration 51 mins.
Job 15 Operation 8 duration 94 mins.
Job 5 Operation 11 duration 71 mins.
Job 8 Operation 11 duration 91 mins.
Job 9 Operation 11 duration 10 mins.
Job 10 Operation 12 duration 46 mins.
Job 6 Operation 13 duration 11 mins.
Job 3 Operation 14 duration 24 mins.
Job 19 Operation 14 duration 88 mins.
Job 7 Operation 16 duration 25 mins.
Job 1 Operation 17 duration 78 mins.
Job 2 Operation 18 duration 21 mins.
Job 12 Operation 18 duration 62 mins.
Job 18 Operation 19 duration 81 mins.
Machine 11 is used for the following Operations:
Job 1 Operation 1 duration 87 mins.
Job 4 Operation 1 duration 37 mins.
Job 14 Operation 1 duration 11 mins.
Job 5 Operation 2 duration 94 mins.
Job 18 Operation 2 duration 16 mins.
Job 8 Operation 3 duration 9 mins.
Job 19 Operation 3 duration 55 mins.
Job 7 Operation 4 duration 96 mins.
Job 12 Operation 4 duration 4 mins.
Job 16 Operation 4 duration 55 mins.
Job 10 Operation 5 duration 91 mins.
Job 13 Operation 7 duration 65 mins.
Job 15 Operation 7 duration 38 mins.
Job 0 Operation 9 duration 54 mins.
Job 11 Operation 9 duration 23 mins.
Job 9 Operation 10 duration 22 mins.
Job 6 Operation 16 duration 57 mins.
Job 2 Operation 17 duration 26 mins.
Job 3 Operation 17 duration 74 mins.
Job 17 Operation 17 duration 36 mins.
Machine 12 is used for the following Operations:
Job 15 Operation 1 duration 19 mins.
Job 3 Operation 2 duration 19 mins.
Job 8 Operation 4 duration 73 mins.
Job 7 Operation 6 duration 59 mins.
Job 13 Operation 6 duration 35 mins.
Job 14 Operation 6 duration 4 mins.
Job 0 Operation 7 duration 81 mins.
Job 19 Operation 7 duration 51 mins.
Job 1 Operation 10 duration 44 mins.
Job 6 Operation 10 duration 47 mins.
Job 18 Operation 10 duration 93 mins.
Job 10 Operation 11 duration 50 mins.
Job 2 Operation 12 duration 85 mins.
Job 4 Operation 12 duration 61 mins.
Job 12 Operation 15 duration 15 mins.
Job 17 Operation 15 duration 67 mins.
Job 11 Operation 17 duration 41 mins.
Job 16 Operation 17 duration 82 mins.
Job 5 Operation 18 duration 32 mins.
Job 9 Operation 19 duration 88 mins.
Machine 13 is used for the following Operations:
Job 9 Operation 0 duration 49 mins.
Job 6 Operation 1 duration 16 mins.
Job 17 Operation 2 duration 40 mins.
Job 14 Operation 3 duration 93 mins.
Job 2 Operation 4 duration 20 mins.
Job 11 Operation 4 duration 19 mins.
Job 7 Operation 5 duration 83 mins.
Job 15 Operation 6 duration 69 mins.
Job 0 Operation 10 duration 52 mins.
Job 3 Operation 11 duration 32 mins.
Job 12 Operation 11 duration 20 mins.
Job 8 Operation 12 duration 22 mins.
Job 1 Operation 15 duration 4 mins.
Job 10 Operation 15 duration 88 mins.
Job 19 Operation 15 duration 30 mins.
Job 4 Operation 17 duration 42 mins.
Job 5 Operation 17 duration 32 mins.
Job 16 Operation 18 duration 83 mins.
Job 18 Operation 18 duration 90 mins.
Job 13 Operation 19 duration 54 mins.
Machine 14 is used for the following Operations:
Job 0 Operation 0 duration 57 mins.
Job 19 Operation 0 duration 17 mins.
Job 5 Operation 1 duration 96 mins.
Job 10 Operation 1 duration 83 mins.
Job 12 Operation 5 duration 93 mins.
Job 13 Operation 5 duration 96 mins.
Job 17 Operation 5 duration 82 mins.
Job 18 Operation 5 duration 28 mins.
Job 16 Operation 6 duration 69 mins.
Job 9 Operation 8 duration 12 mins.
Job 15 Operation 9 duration 36 mins.
Job 2 Operation 11 duration 56 mins.
Job 1 Operation 12 duration 61 mins.
Job 8 Operation 13 duration 13 mins.
Job 6 Operation 14 duration 15 mins.
Job 7 Operation 15 duration 1 mins.
Job 4 Operation 16 duration 90 mins.
Job 14 Operation 16 duration 2 mins.
Job 11 Operation 18 duration 81 mins.
Job 3 Operation 19 duration 41 mins.
Machine 15 is used for the following Operations:
Job 1 Operation 0 duration 59 mins.
Job 2 Operation 1 duration 36 mins.
Job 19 Operation 2 duration 43 mins.
Job 0 Operation 3 duration 52 mins.
Job 6 Operation 3 duration 54 mins.
Job 14 Operation 4 duration 84 mins.
Job 15 Operation 5 duration 89 mins.
Job 7 Operation 7 duration 90 mins.
Job 4 Operation 8 duration 18 mins.
Job 18 Operation 8 duration 20 mins.
Job 3 Operation 10 duration 54 mins.
Job 10 Operation 10 duration 44 mins.
Job 11 Operation 10 duration 12 mins.
Job 17 Operation 10 duration 51 mins.
Job 13 Operation 12 duration 31 mins.
Job 9 Operation 16 duration 76 mins.
Job 16 Operation 16 duration 10 mins.
Job 12 Operation 17 duration 73 mins.
Job 8 Operation 18 duration 56 mins.
Job 5 Operation 19 duration 91 mins.
Machine 16 is used for the following Operations:
Job 10 Operation 2 duration 70 mins.
Job 17 Operation 3 duration 90 mins.
Job 11 Operation 5 duration 7 mins.
Job 1 Operation 7 duration 36 mins.
Job 6 Operation 7 duration 2 mins.
Job 8 Operation 7 duration 26 mins.
Job 4 Operation 9 duration 18 mins.
Job 5 Operation 9 duration 35 mins.
Job 7 Operation 9 duration 86 mins.
Job 15 Operation 10 duration 98 mins.
Job 3 Operation 12 duration 72 mins.
Job 14 Operation 12 duration 20 mins.
Job 9 Operation 13 duration 87 mins.
Job 12 Operation 13 duration 29 mins.
Job 13 Operation 13 duration 70 mins.
Job 18 Operation 13 duration 44 mins.
Job 19 Operation 13 duration 73 mins.
Job 16 Operation 15 duration 83 mins.
Job 2 Operation 16 duration 61 mins.
Job 0 Operation 19 duration 44 mins.
Machine 17 is used for the following Operations:
Job 14 Operation 2 duration 51 mins.
Job 16 Operation 2 duration 80 mins.
Job 15 Operation 3 duration 56 mins.
Job 1 Operation 5 duration 46 mins.
Job 3 Operation 7 duration 26 mins.
Job 4 Operation 7 duration 48 mins.
Job 2 Operation 8 duration 48 mins.
Job 5 Operation 8 duration 59 mins.
Job 11 Operation 8 duration 4 mins.
Job 6 Operation 9 duration 38 mins.
Job 9 Operation 9 duration 51 mins.
Job 8 Operation 10 duration 63 mins.
Job 12 Operation 10 duration 34 mins.
Job 13 Operation 11 duration 66 mins.
Job 19 Operation 11 duration 64 mins.
Job 7 Operation 13 duration 15 mins.
Job 18 Operation 17 duration 69 mins.
Job 0 Operation 18 duration 92 mins.
Job 10 Operation 18 duration 11 mins.
Job 17 Operation 19 duration 71 mins.
Machine 18 is used for the following Operations:
Job 8 Operation 0 duration 12 mins.
Job 18 Operation 0 duration 16 mins.
Job 3 Operation 1 duration 52 mins.
Job 1 Operation 2 duration 96 mins.
Job 7 Operation 2 duration 37 mins.
Job 13 Operation 2 duration 18 mins.
Job 0 Operation 4 duration 18 mins.
Job 5 Operation 5 duration 51 mins.
Job 10 Operation 8 duration 77 mins.
Job 16 Operation 9 duration 63 mins.
Job 17 Operation 9 duration 74 mins.
Job 19 Operation 9 duration 59 mins.
Job 4 Operation 10 duration 39 mins.
Job 11 Operation 13 duration 6 mins.
Job 15 Operation 13 duration 4 mins.
Job 14 Operation 14 duration 54 mins.
Job 6 Operation 15 duration 3 mins.
Job 9 Operation 15 duration 30 mins.
Job 12 Operation 16 duration 60 mins.
Job 2 Operation 19 duration 75 mins.
Machine 19 is used for the following Operations:
Job 10 Operation 4 duration 54 mins.
Job 14 Operation 5 duration 30 mins.
Job 19 Operation 6 duration 69 mins.
Job 13 Operation 10 duration 46 mins.
Job 11 Operation 11 duration 40 mins.
Job 6 Operation 12 duration 64 mins.
Job 9 Operation 12 duration 40 mins.
Job 16 Operation 12 duration 15 mins.
Job 0 Operation 13 duration 63 mins.
Job 5 Operation 13 duration 69 mins.
Job 12 Operation 14 duration 43 mins.
Job 17 Operation 14 duration 51 mins.
Job 2 Operation 15 duration 10 mins.
Job 18 Operation 15 duration 40 mins.
Job 3 Operation 16 duration 73 mins.
Job 7 Operation 17 duration 9 mins.
Job 15 Operation 17 duration 74 mins.
Job 1 Operation 19 duration 8 mins.
Job 4 Operation 19 duration 23 mins.
Job 8 Operation 19 duration 56 mins.
| null |
Solution:
Job 16 Operation 0 on Machine 1 : 0 + 43 -> 43
Job 7 Operation 0 on Machine 2 : 0 + 9 -> 9
Job 3 Operation 0 on Machine 3 : 0 + 28 -> 28
Job 13 Operation 0 on Machine 5 : 0 + 80 -> 80
Job 17 Operation 0 on Machine 7 : 0 + 51 -> 51
Job 2 Operation 0 on Machine 8 : 0 + 53 -> 53
Job 15 Operation 0 on Machine 9 : 0 + 77 -> 77
Job 4 Operation 0 on Machine 10 : 0 + 39 -> 39
Job 9 Operation 0 on Machine 13 : 0 + 49 -> 49
Job 19 Operation 0 on Machine 14 : 0 + 17 -> 17
Job 8 Operation 0 on Machine 18 : 0 + 12 -> 12
Job 8 Operation 1 on Machine 4 : 12 + 5 -> 17
Job 18 Operation 0 on Machine 18 : 12 + 16 -> 28
Job 8 Operation 2 on Machine 6 : 17 + 24 -> 41
Job 0 Operation 0 on Machine 14 : 17 + 57 -> 74
Job 3 Operation 1 on Machine 18 : 28 + 52 -> 80
Job 19 Operation 1 on Machine 6 : 41 + 98 -> 139
Job 8 Operation 3 on Machine 11 : 41 + 9 -> 50
Job 16 Operation 1 on Machine 2 : 43 + 34 -> 77
Job 4 Operation 1 on Machine 11 : 50 + 37 -> 87
Job 12 Operation 0 on Machine 7 : 51 + 96 -> 147
Job 17 Operation 1 on Machine 10 : 51 + 43 -> 94
Job 6 Operation 0 on Machine 8 : 53 + 57 -> 110
Job 2 Operation 1 on Machine 15 : 53 + 36 -> 89
Job 14 Operation 0 on Machine 2 : 77 + 40 -> 117
Job 18 Operation 1 on Machine 9 : 77 + 16 -> 93
Job 15 Operation 1 on Machine 12 : 77 + 19 -> 96
Job 16 Operation 2 on Machine 17 : 77 + 80 -> 157
Job 10 Operation 0 on Machine 5 : 80 + 40 -> 120
Job 2 Operation 2 on Machine 0 : 89 + 5 -> 94
Job 2 Operation 3 on Machine 1 : 94 + 58 -> 152
Job 17 Operation 2 on Machine 13 : 94 + 40 -> 134
Job 15 Operation 2 on Machine 4 : 96 + 76 -> 172
Job 3 Operation 2 on Machine 12 : 96 + 19 -> 115
Job 11 Operation 0 on Machine 8 : 110 + 40 -> 150
Job 3 Operation 3 on Machine 0 : 115 + 21 -> 136
Job 8 Operation 4 on Machine 12 : 115 + 73 -> 188
Job 14 Operation 1 on Machine 11 : 117 + 11 -> 128
Job 10 Operation 1 on Machine 14 : 120 + 83 -> 203
Job 18 Operation 2 on Machine 11 : 128 + 16 -> 144
Job 6 Operation 1 on Machine 13 : 134 + 16 -> 150
Job 17 Operation 3 on Machine 16 : 134 + 90 -> 224
Job 19 Operation 2 on Machine 15 : 139 + 43 -> 182
Job 0 Operation 1 on Machine 7 : 147 + 5 -> 152
Job 6 Operation 2 on Machine 6 : 150 + 96 -> 246
Job 11 Operation 1 on Machine 10 : 150 + 84 -> 234
Job 9 Operation 1 on Machine 1 : 152 + 72 -> 224
Job 2 Operation 4 on Machine 13 : 152 + 20 -> 172
Job 16 Operation 3 on Machine 8 : 157 + 18 -> 175
Job 14 Operation 2 on Machine 17 : 157 + 51 -> 208
Job 3 Operation 4 on Machine 4 : 172 + 68 -> 240
Job 2 Operation 5 on Machine 9 : 172 + 32 -> 204
Job 16 Operation 4 on Machine 11 : 175 + 55 -> 230
Job 1 Operation 0 on Machine 15 : 182 + 59 -> 241
Job 2 Operation 6 on Machine 3 : 204 + 5 -> 209
Job 14 Operation 3 on Machine 13 : 208 + 93 -> 301
Job 15 Operation 3 on Machine 17 : 208 + 56 -> 264
Job 4 Operation 2 on Machine 3 : 209 + 60 -> 269
Job 2 Operation 7 on Machine 7 : 209 + 66 -> 275
Job 7 Operation 1 on Machine 1 : 224 + 62 -> 286
Job 9 Operation 2 on Machine 2 : 224 + 89 -> 313
Job 10 Operation 2 on Machine 16 : 224 + 70 -> 294
Job 19 Operation 3 on Machine 11 : 230 + 55 -> 285
Job 11 Operation 2 on Machine 9 : 234 + 73 -> 307
Job 16 Operation 5 on Machine 10 : 234 + 31 -> 265
Job 17 Operation 4 on Machine 4 : 240 + 45 -> 285
Job 6 Operation 3 on Machine 15 : 246 + 54 -> 300
Job 16 Operation 6 on Machine 14 : 265 + 69 -> 334
Job 15 Operation 4 on Machine 7 : 275 + 96 -> 371
Job 2 Operation 8 on Machine 17 : 275 + 48 -> 323
Job 19 Operation 4 on Machine 3 : 285 + 46 -> 331
Job 1 Operation 1 on Machine 11 : 285 + 87 -> 372
Job 12 Operation 1 on Machine 1 : 286 + 22 -> 308
Job 7 Operation 2 on Machine 18 : 286 + 37 -> 323
Job 10 Operation 3 on Machine 4 : 294 + 1 -> 295
Job 10 Operation 4 on Machine 19 : 295 + 54 -> 349
Job 12 Operation 2 on Machine 0 : 308 + 71 -> 379
Job 18 Operation 3 on Machine 1 : 308 + 55 -> 363
Job 9 Operation 3 on Machine 6 : 313 + 69 -> 382
Job 2 Operation 9 on Machine 2 : 323 + 59 -> 382
Job 16 Operation 7 on Machine 4 : 334 + 1 -> 335
Job 17 Operation 5 on Machine 14 : 334 + 82 -> 416
Job 16 Operation 8 on Machine 3 : 335 + 46 -> 381
Job 7 Operation 3 on Machine 4 : 335 + 92 -> 427
Job 5 Operation 0 on Machine 1 : 363 + 53 -> 416
Job 19 Operation 5 on Machine 7 : 371 + 38 -> 409
Job 15 Operation 5 on Machine 15 : 371 + 89 -> 460
Job 18 Operation 4 on Machine 0 : 379 + 35 -> 414
Job 12 Operation 3 on Machine 9 : 379 + 89 -> 468
Job 16 Operation 9 on Machine 18 : 381 + 63 -> 444
Job 9 Operation 4 on Machine 3 : 382 + 54 -> 436
Job 2 Operation 10 on Machine 6 : 382 + 68 -> 450
Job 19 Operation 6 on Machine 19 : 409 + 69 -> 478
Job 6 Operation 4 on Machine 0 : 414 + 25 -> 439
Job 17 Operation 6 on Machine 1 : 416 + 24 -> 440
Job 18 Operation 5 on Machine 14 : 416 + 28 -> 444
Job 11 Operation 3 on Machine 4 : 427 + 25 -> 452
Job 7 Operation 4 on Machine 11 : 427 + 96 -> 523
Job 9 Operation 5 on Machine 5 : 436 + 85 -> 521
Job 17 Operation 7 on Machine 0 : 440 + 28 -> 468
Job 8 Operation 5 on Machine 1 : 440 + 44 -> 484
Job 18 Operation 6 on Machine 7 : 444 + 21 -> 465
Job 1 Operation 2 on Machine 18 : 444 + 96 -> 540
Job 16 Operation 10 on Machine 6 : 450 + 95 -> 545
Job 2 Operation 11 on Machine 14 : 450 + 56 -> 506
Job 15 Operation 6 on Machine 13 : 460 + 69 -> 529
Job 18 Operation 7 on Machine 4 : 465 + 38 -> 503
Job 6 Operation 5 on Machine 7 : 465 + 89 -> 554
Job 17 Operation 8 on Machine 2 : 468 + 62 -> 530
Job 3 Operation 5 on Machine 9 : 468 + 11 -> 479
Job 13 Operation 1 on Machine 1 : 484 + 67 -> 551
Job 0 Operation 2 on Machine 4 : 503 + 95 -> 598
Job 18 Operation 8 on Machine 15 : 503 + 20 -> 523
Job 2 Operation 12 on Machine 12 : 506 + 85 -> 591
Job 5 Operation 1 on Machine 14 : 506 + 96 -> 602
Job 9 Operation 6 on Machine 9 : 521 + 37 -> 558
Job 18 Operation 9 on Machine 5 : 523 + 50 -> 573
Job 14 Operation 4 on Machine 15 : 523 + 84 -> 607
Job 15 Operation 7 on Machine 11 : 529 + 38 -> 567
Job 11 Operation 4 on Machine 13 : 529 + 19 -> 548
Job 1 Operation 3 on Machine 0 : 540 + 24 -> 564
Job 17 Operation 9 on Machine 18 : 540 + 74 -> 614
Job 7 Operation 5 on Machine 13 : 548 + 83 -> 631
Job 11 Operation 5 on Machine 16 : 548 + 7 -> 555
Job 6 Operation 6 on Machine 1 : 554 + 65 -> 619
Job 3 Operation 6 on Machine 7 : 554 + 58 -> 612
Job 11 Operation 6 on Machine 6 : 555 + 58 -> 613
Job 9 Operation 7 on Machine 8 : 558 + 69 -> 627
Job 1 Operation 4 on Machine 2 : 564 + 47 -> 611
Job 15 Operation 8 on Machine 10 : 567 + 94 -> 661
Job 12 Operation 4 on Machine 11 : 567 + 4 -> 571
Job 2 Operation 13 on Machine 5 : 591 + 77 -> 668
Job 19 Operation 7 on Machine 12 : 591 + 51 -> 642
Job 5 Operation 2 on Machine 11 : 602 + 94 -> 696
Job 14 Operation 5 on Machine 19 : 607 + 30 -> 637
Job 8 Operation 6 on Machine 7 : 612 + 34 -> 646
Job 3 Operation 7 on Machine 17 : 612 + 26 -> 638
Job 17 Operation 10 on Machine 15 : 614 + 51 -> 665
Job 13 Operation 2 on Machine 18 : 614 + 18 -> 632
Job 6 Operation 7 on Machine 16 : 619 + 2 -> 621
Job 6 Operation 8 on Machine 3 : 621 + 86 -> 707
Job 9 Operation 8 on Machine 14 : 627 + 12 -> 639
Job 3 Operation 8 on Machine 1 : 638 + 64 -> 702
Job 9 Operation 9 on Machine 17 : 639 + 51 -> 690
Job 19 Operation 8 on Machine 0 : 642 + 54 -> 696
Job 14 Operation 6 on Machine 12 : 642 + 4 -> 646
Job 4 Operation 3 on Machine 7 : 646 + 82 -> 728
Job 14 Operation 7 on Machine 8 : 646 + 98 -> 744
Job 7 Operation 6 on Machine 12 : 646 + 59 -> 705
Job 8 Operation 7 on Machine 16 : 646 + 26 -> 672
Job 15 Operation 9 on Machine 14 : 661 + 36 -> 697
Job 0 Operation 3 on Machine 15 : 665 + 52 -> 717
Job 2 Operation 14 on Machine 4 : 668 + 16 -> 684
Job 17 Operation 11 on Machine 5 : 668 + 48 -> 716
Job 8 Operation 8 on Machine 9 : 672 + 70 -> 742
Job 2 Operation 15 on Machine 19 : 684 + 10 -> 694
Job 1 Operation 5 on Machine 17 : 690 + 46 -> 736
Job 13 Operation 3 on Machine 0 : 696 + 85 -> 781
Job 5 Operation 3 on Machine 2 : 696 + 82 -> 778
Job 9 Operation 10 on Machine 11 : 696 + 22 -> 718
Job 12 Operation 5 on Machine 14 : 697 + 93 -> 790
Job 15 Operation 10 on Machine 16 : 697 + 98 -> 795
Job 18 Operation 10 on Machine 12 : 705 + 93 -> 798
Job 3 Operation 9 on Machine 5 : 716 + 97 -> 813
Job 17 Operation 12 on Machine 6 : 716 + 83 -> 799
Job 7 Operation 7 on Machine 15 : 717 + 90 -> 807
Job 0 Operation 4 on Machine 18 : 717 + 18 -> 735
Job 9 Operation 11 on Machine 10 : 718 + 10 -> 728
Job 10 Operation 5 on Machine 11 : 718 + 91 -> 809
Job 9 Operation 12 on Machine 19 : 728 + 40 -> 768
Job 0 Operation 5 on Machine 1 : 735 + 48 -> 783
Job 19 Operation 9 on Machine 18 : 735 + 59 -> 794
Job 1 Operation 6 on Machine 3 : 736 + 82 -> 818
Job 6 Operation 9 on Machine 17 : 736 + 38 -> 774
Job 14 Operation 8 on Machine 10 : 744 + 51 -> 795
Job 8 Operation 9 on Machine 0 : 781 + 39 -> 820
Job 13 Operation 4 on Machine 8 : 781 + 61 -> 842
Job 19 Operation 10 on Machine 1 : 794 + 33 -> 827
Job 14 Operation 9 on Machine 7 : 795 + 77 -> 872
Job 0 Operation 6 on Machine 10 : 795 + 51 -> 846
Job 9 Operation 13 on Machine 16 : 795 + 87 -> 882
Job 6 Operation 10 on Machine 12 : 798 + 47 -> 845
Job 5 Operation 4 on Machine 6 : 799 + 95 -> 894
Job 17 Operation 13 on Machine 9 : 799 + 4 -> 803
Job 17 Operation 14 on Machine 19 : 803 + 51 -> 854
Job 7 Operation 8 on Machine 9 : 807 + 80 -> 887
Job 15 Operation 11 on Machine 5 : 813 + 17 -> 830
Job 3 Operation 10 on Machine 15 : 813 + 54 -> 867
Job 10 Operation 6 on Machine 1 : 827 + 78 -> 905
Job 19 Operation 11 on Machine 17 : 827 + 64 -> 891
Job 4 Operation 4 on Machine 5 : 830 + 66 -> 896
Job 13 Operation 5 on Machine 14 : 842 + 96 -> 938
Job 17 Operation 15 on Machine 12 : 854 + 67 -> 921
Job 3 Operation 11 on Machine 13 : 867 + 32 -> 899
Job 14 Operation 10 on Machine 4 : 872 + 30 -> 902
Job 1 Operation 7 on Machine 16 : 882 + 36 -> 918
Job 6 Operation 11 on Machine 9 : 887 + 22 -> 909
Job 19 Operation 12 on Machine 2 : 891 + 20 -> 911
Job 8 Operation 10 on Machine 17 : 891 + 63 -> 954
Job 15 Operation 12 on Machine 6 : 894 + 57 -> 951
Job 5 Operation 5 on Machine 18 : 894 + 51 -> 945
Job 4 Operation 5 on Machine 0 : 896 + 53 -> 949
Job 14 Operation 11 on Machine 5 : 902 + 10 -> 912
Job 10 Operation 7 on Machine 7 : 905 + 6 -> 911
Job 6 Operation 12 on Machine 19 : 909 + 64 -> 973
Job 16 Operation 11 on Machine 7 : 911 + 88 -> 999
Job 12 Operation 6 on Machine 5 : 912 + 63 -> 975
Job 14 Operation 12 on Machine 16 : 918 + 20 -> 938
Job 0 Operation 7 on Machine 12 : 921 + 81 -> 1002
Job 3 Operation 12 on Machine 16 : 938 + 72 -> 1010
Job 1 Operation 8 on Machine 6 : 951 + 31 -> 982
Job 15 Operation 13 on Machine 18 : 951 + 4 -> 955
Job 8 Operation 11 on Machine 10 : 954 + 91 -> 1045
Job 15 Operation 14 on Machine 8 : 955 + 10 -> 965
Job 10 Operation 8 on Machine 18 : 955 + 77 -> 1032
Job 15 Operation 15 on Machine 3 : 965 + 56 -> 1021
Job 4 Operation 6 on Machine 8 : 965 + 12 -> 977
Job 12 Operation 7 on Machine 2 : 975 + 98 -> 1073
Job 5 Operation 6 on Machine 5 : 975 + 29 -> 1004
Job 4 Operation 7 on Machine 17 : 977 + 48 -> 1025
Job 18 Operation 11 on Machine 6 : 982 + 94 -> 1076
Job 1 Operation 9 on Machine 9 : 982 + 42 -> 1024
Job 9 Operation 14 on Machine 7 : 999 + 59 -> 1058
Job 16 Operation 12 on Machine 19 : 999 + 15 -> 1014
Job 13 Operation 6 on Machine 12 : 1002 + 35 -> 1037
Job 0 Operation 8 on Machine 5 : 1004 + 17 -> 1021
Job 5 Operation 7 on Machine 8 : 1004 + 35 -> 1039
Job 7 Operation 9 on Machine 16 : 1010 + 86 -> 1096
Job 15 Operation 16 on Machine 1 : 1021 + 63 -> 1084
Job 11 Operation 7 on Machine 5 : 1021 + 82 -> 1103
Job 14 Operation 13 on Machine 9 : 1024 + 89 -> 1113
Job 4 Operation 8 on Machine 15 : 1025 + 18 -> 1043
Job 13 Operation 7 on Machine 11 : 1037 + 65 -> 1102
Job 1 Operation 10 on Machine 12 : 1037 + 44 -> 1081
Job 10 Operation 9 on Machine 8 : 1039 + 22 -> 1061
Job 5 Operation 8 on Machine 17 : 1039 + 59 -> 1098
Job 8 Operation 12 on Machine 13 : 1045 + 22 -> 1067
Job 9 Operation 15 on Machine 18 : 1058 + 30 -> 1088
Job 10 Operation 10 on Machine 15 : 1061 + 44 -> 1105
Job 8 Operation 13 on Machine 14 : 1067 + 13 -> 1080
Job 12 Operation 8 on Machine 3 : 1073 + 22 -> 1095
Job 18 Operation 12 on Machine 2 : 1076 + 58 -> 1134
Job 15 Operation 17 on Machine 19 : 1084 + 74 -> 1158
Job 12 Operation 9 on Machine 8 : 1095 + 62 -> 1157
Job 4 Operation 9 on Machine 16 : 1096 + 18 -> 1114
Job 13 Operation 8 on Machine 10 : 1102 + 2 -> 1104
Job 1 Operation 11 on Machine 5 : 1103 + 56 -> 1159
Job 11 Operation 8 on Machine 17 : 1103 + 4 -> 1107
Job 13 Operation 9 on Machine 6 : 1104 + 94 -> 1198
Job 10 Operation 11 on Machine 12 : 1105 + 50 -> 1155
Job 11 Operation 9 on Machine 11 : 1107 + 23 -> 1130
Job 5 Operation 9 on Machine 16 : 1114 + 35 -> 1149
Job 4 Operation 10 on Machine 18 : 1114 + 39 -> 1153
Job 0 Operation 9 on Machine 11 : 1130 + 54 -> 1184
Job 11 Operation 10 on Machine 15 : 1130 + 12 -> 1142
Job 9 Operation 16 on Machine 15 : 1142 + 76 -> 1218
Job 5 Operation 10 on Machine 0 : 1149 + 45 -> 1194
Job 18 Operation 13 on Machine 16 : 1149 + 44 -> 1193
Job 4 Operation 11 on Machine 9 : 1153 + 38 -> 1191
Job 14 Operation 14 on Machine 18 : 1153 + 54 -> 1207
Job 10 Operation 12 on Machine 10 : 1155 + 46 -> 1201
Job 7 Operation 10 on Machine 8 : 1157 + 64 -> 1221
Job 12 Operation 10 on Machine 17 : 1157 + 34 -> 1191
Job 11 Operation 11 on Machine 19 : 1158 + 40 -> 1198
Job 16 Operation 13 on Machine 5 : 1159 + 33 -> 1192
Job 1 Operation 12 on Machine 14 : 1159 + 61 -> 1220
Job 0 Operation 10 on Machine 13 : 1184 + 52 -> 1236
Job 4 Operation 12 on Machine 12 : 1191 + 61 -> 1252
Job 8 Operation 14 on Machine 5 : 1192 + 65 -> 1257
Job 16 Operation 14 on Machine 9 : 1192 + 52 -> 1244
Job 18 Operation 14 on Machine 3 : 1193 + 45 -> 1238
Job 19 Operation 13 on Machine 16 : 1193 + 73 -> 1266
Job 3 Operation 13 on Machine 6 : 1198 + 43 -> 1241
Job 11 Operation 12 on Machine 7 : 1198 + 94 -> 1292
Job 13 Operation 10 on Machine 19 : 1198 + 46 -> 1244
Job 10 Operation 13 on Machine 2 : 1201 + 37 -> 1238
Job 5 Operation 11 on Machine 10 : 1201 + 71 -> 1272
Job 14 Operation 15 on Machine 1 : 1207 + 20 -> 1227
Job 9 Operation 17 on Machine 4 : 1218 + 27 -> 1245
Job 1 Operation 13 on Machine 8 : 1221 + 56 -> 1277
Job 14 Operation 16 on Machine 14 : 1227 + 2 -> 1229
Job 12 Operation 11 on Machine 13 : 1236 + 20 -> 1256
Job 7 Operation 11 on Machine 6 : 1241 + 24 -> 1265
Job 0 Operation 11 on Machine 9 : 1244 + 5 -> 1249
Job 13 Operation 11 on Machine 17 : 1244 + 66 -> 1310
Job 18 Operation 15 on Machine 19 : 1244 + 40 -> 1284
Job 9 Operation 18 on Machine 0 : 1245 + 89 -> 1334
Job 10 Operation 14 on Machine 9 : 1249 + 41 -> 1290
Job 4 Operation 13 on Machine 2 : 1252 + 96 -> 1348
Job 7 Operation 12 on Machine 5 : 1265 + 63 -> 1328
Job 12 Operation 12 on Machine 6 : 1265 + 85 -> 1350
Job 16 Operation 15 on Machine 16 : 1266 + 83 -> 1349
Job 5 Operation 12 on Machine 4 : 1272 + 56 -> 1328
Job 19 Operation 14 on Machine 10 : 1272 + 88 -> 1360
Job 0 Operation 12 on Machine 8 : 1277 + 1 -> 1278
Job 18 Operation 16 on Machine 8 : 1284 + 8 -> 1292
Job 0 Operation 13 on Machine 19 : 1284 + 63 -> 1347
Job 10 Operation 15 on Machine 13 : 1290 + 88 -> 1378
Job 1 Operation 14 on Machine 7 : 1292 + 48 -> 1340
Job 17 Operation 16 on Machine 8 : 1292 + 65 -> 1357
Job 11 Operation 13 on Machine 18 : 1292 + 6 -> 1298
Job 13 Operation 12 on Machine 15 : 1310 + 31 -> 1341
Job 7 Operation 13 on Machine 17 : 1328 + 15 -> 1343
Job 7 Operation 14 on Machine 3 : 1343 + 29 -> 1372
Job 18 Operation 17 on Machine 17 : 1343 + 69 -> 1412
Job 5 Operation 13 on Machine 19 : 1347 + 69 -> 1416
Job 4 Operation 14 on Machine 1 : 1348 + 47 -> 1395
Job 11 Operation 14 on Machine 2 : 1348 + 5 -> 1353
Job 16 Operation 16 on Machine 15 : 1349 + 10 -> 1359
Job 13 Operation 13 on Machine 16 : 1349 + 70 -> 1419
Job 0 Operation 14 on Machine 6 : 1350 + 59 -> 1409
Job 8 Operation 15 on Machine 2 : 1353 + 53 -> 1406
Job 17 Operation 17 on Machine 11 : 1357 + 36 -> 1393
Job 16 Operation 17 on Machine 12 : 1359 + 82 -> 1441
Job 11 Operation 15 on Machine 3 : 1372 + 24 -> 1396
Job 7 Operation 15 on Machine 14 : 1372 + 1 -> 1373
Job 7 Operation 16 on Machine 10 : 1373 + 25 -> 1398
Job 1 Operation 15 on Machine 13 : 1378 + 4 -> 1382
Job 19 Operation 15 on Machine 13 : 1382 + 30 -> 1412
Job 1 Operation 16 on Machine 1 : 1395 + 65 -> 1460
Job 4 Operation 15 on Machine 4 : 1395 + 34 -> 1429
Job 3 Operation 14 on Machine 10 : 1398 + 24 -> 1422
Job 8 Operation 16 on Machine 3 : 1406 + 9 -> 1415
Job 0 Operation 15 on Machine 0 : 1409 + 24 -> 1433
Job 18 Operation 18 on Machine 13 : 1412 + 90 -> 1502
Job 17 Operation 18 on Machine 3 : 1415 + 19 -> 1434
Job 8 Operation 17 on Machine 8 : 1415 + 84 -> 1499
Job 5 Operation 14 on Machine 9 : 1416 + 71 -> 1487
Job 13 Operation 14 on Machine 7 : 1419 + 92 -> 1511
Job 12 Operation 13 on Machine 16 : 1419 + 29 -> 1448
Job 6 Operation 13 on Machine 10 : 1422 + 11 -> 1433
Job 19 Operation 16 on Machine 4 : 1429 + 50 -> 1479
Job 4 Operation 16 on Machine 14 : 1429 + 90 -> 1519
Job 10 Operation 16 on Machine 0 : 1433 + 8 -> 1441
Job 0 Operation 16 on Machine 2 : 1433 + 45 -> 1478
Job 17 Operation 19 on Machine 17 : 1434 + 71 -> 1505
Job 14 Operation 17 on Machine 0 : 1441 + 21 -> 1462
Job 10 Operation 17 on Machine 6 : 1441 + 66 -> 1507
Job 2 Operation 16 on Machine 16 : 1448 + 61 -> 1509
Job 12 Operation 14 on Machine 19 : 1448 + 43 -> 1491
Job 1 Operation 17 on Machine 10 : 1460 + 78 -> 1538
Job 11 Operation 16 on Machine 0 : 1462 + 73 -> 1535
Job 14 Operation 18 on Machine 3 : 1462 + 35 -> 1497
Job 15 Operation 18 on Machine 2 : 1478 + 30 -> 1508
Job 19 Operation 17 on Machine 5 : 1479 + 96 -> 1575
Job 12 Operation 15 on Machine 12 : 1491 + 15 -> 1506
Job 7 Operation 17 on Machine 19 : 1491 + 9 -> 1500
Job 5 Operation 15 on Machine 3 : 1497 + 46 -> 1543
Job 3 Operation 15 on Machine 8 : 1499 + 16 -> 1515
Job 8 Operation 18 on Machine 15 : 1499 + 56 -> 1555
Job 16 Operation 18 on Machine 13 : 1502 + 83 -> 1585
Job 12 Operation 16 on Machine 18 : 1506 + 60 -> 1566
Job 14 Operation 19 on Machine 6 : 1507 + 66 -> 1573
Job 10 Operation 18 on Machine 17 : 1507 + 11 -> 1518
Job 2 Operation 17 on Machine 11 : 1509 + 26 -> 1535
Job 13 Operation 15 on Machine 2 : 1511 + 36 -> 1547
Job 3 Operation 16 on Machine 19 : 1515 + 73 -> 1588
Job 6 Operation 14 on Machine 14 : 1519 + 15 -> 1534
Job 15 Operation 19 on Machine 0 : 1535 + 55 -> 1590
Job 11 Operation 17 on Machine 12 : 1535 + 41 -> 1576
Job 1 Operation 18 on Machine 4 : 1538 + 2 -> 1540
Job 2 Operation 18 on Machine 10 : 1538 + 21 -> 1559
Job 0 Operation 17 on Machine 3 : 1543 + 77 -> 1620
Job 5 Operation 16 on Machine 7 : 1543 + 30 -> 1573
Job 13 Operation 16 on Machine 4 : 1547 + 64 -> 1611
Job 18 Operation 19 on Machine 10 : 1559 + 81 -> 1640
Job 12 Operation 17 on Machine 15 : 1566 + 73 -> 1639
Job 6 Operation 15 on Machine 18 : 1566 + 3 -> 1569
Job 6 Operation 16 on Machine 11 : 1569 + 57 -> 1626
Job 2 Operation 19 on Machine 18 : 1569 + 75 -> 1644
Job 7 Operation 18 on Machine 7 : 1573 + 95 -> 1668
Job 19 Operation 18 on Machine 8 : 1575 + 2 -> 1577
Job 11 Operation 18 on Machine 14 : 1576 + 81 -> 1657
Job 5 Operation 17 on Machine 13 : 1585 + 32 -> 1617
Job 1 Operation 19 on Machine 19 : 1588 + 8 -> 1596
Job 16 Operation 19 on Machine 0 : 1590 + 88 -> 1678
Job 8 Operation 19 on Machine 19 : 1596 + 56 -> 1652
Job 13 Operation 17 on Machine 9 : 1611 + 34 -> 1645
Job 5 Operation 18 on Machine 12 : 1617 + 32 -> 1649
Job 4 Operation 17 on Machine 13 : 1617 + 42 -> 1659
Job 0 Operation 18 on Machine 17 : 1620 + 92 -> 1712
Job 6 Operation 17 on Machine 5 : 1626 + 93 -> 1719
Job 3 Operation 17 on Machine 11 : 1626 + 74 -> 1700
Job 12 Operation 18 on Machine 10 : 1640 + 62 -> 1702
Job 13 Operation 18 on Machine 3 : 1645 + 31 -> 1676
Job 19 Operation 19 on Machine 9 : 1645 + 81 -> 1726
Job 9 Operation 19 on Machine 12 : 1649 + 88 -> 1737
Job 5 Operation 19 on Machine 15 : 1649 + 91 -> 1740
Job 11 Operation 19 on Machine 1 : 1657 + 69 -> 1726
Job 4 Operation 18 on Machine 6 : 1659 + 31 -> 1690
Job 10 Operation 19 on Machine 3 : 1676 + 87 -> 1763
Job 13 Operation 19 on Machine 13 : 1676 + 54 -> 1730
Job 7 Operation 19 on Machine 0 : 1678 + 53 -> 1731
Job 4 Operation 19 on Machine 19 : 1690 + 23 -> 1713
Job 3 Operation 18 on Machine 2 : 1700 + 5 -> 1705
Job 12 Operation 19 on Machine 4 : 1702 + 36 -> 1738
Job 3 Operation 19 on Machine 14 : 1705 + 41 -> 1746
Job 0 Operation 19 on Machine 16 : 1712 + 44 -> 1756
Job 6 Operation 18 on Machine 4 : 1738 + 10 -> 1748
Job 6 Operation 19 on Machine 2 : 1748 + 8 -> 1756
Makespan: 1763.0, as it is the maximum end completion time of Operation 19
| null |
|
6 | 5 |
Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 153 mins.
Operation 1 on Machine 4 duration 131 mins.
Operation 2 on Machine 1 duration 61 mins.
Operation 3 on Machine 3 duration 294 mins.
Operation 4 on Machine 0 duration 18 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 133 mins.
Operation 1 on Machine 3 duration 283 mins.
Operation 2 on Machine 1 duration 64 mins.
Operation 3 on Machine 4 duration 22 mins.
Operation 4 on Machine 2 duration 107 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 32 mins.
Operation 1 on Machine 3 duration 55 mins.
Operation 2 on Machine 2 duration 112 mins.
Operation 3 on Machine 1 duration 196 mins.
Operation 4 on Machine 4 duration 41 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 227 mins.
Operation 1 on Machine 1 duration 224 mins.
Operation 2 on Machine 0 duration 101 mins.
Operation 3 on Machine 3 duration 50 mins.
Operation 4 on Machine 2 duration 260 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 115 mins.
Operation 1 on Machine 0 duration 61 mins.
Operation 2 on Machine 1 duration 229 mins.
Operation 3 on Machine 2 duration 50 mins.
Operation 4 on Machine 4 duration 180 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 79 mins.
Operation 1 on Machine 2 duration 246 mins.
Operation 2 on Machine 0 duration 135 mins.
Operation 3 on Machine 1 duration 244 mins.
Operation 4 on Machine 3 duration 218 mins.
| null |
Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 133 mins.
Job 2 Operation 0 duration 32 mins.
Job 4 Operation 1 duration 61 mins.
Job 3 Operation 2 duration 101 mins.
Job 5 Operation 2 duration 135 mins.
Job 0 Operation 4 duration 18 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 1 duration 224 mins.
Job 0 Operation 2 duration 61 mins.
Job 1 Operation 2 duration 64 mins.
Job 4 Operation 2 duration 229 mins.
Job 2 Operation 3 duration 196 mins.
Job 5 Operation 3 duration 244 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 153 mins.
Job 5 Operation 1 duration 246 mins.
Job 2 Operation 2 duration 112 mins.
Job 4 Operation 3 duration 50 mins.
Job 1 Operation 4 duration 107 mins.
Job 3 Operation 4 duration 260 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 115 mins.
Job 1 Operation 1 duration 283 mins.
Job 2 Operation 1 duration 55 mins.
Job 0 Operation 3 duration 294 mins.
Job 3 Operation 3 duration 50 mins.
Job 5 Operation 4 duration 218 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 227 mins.
Job 5 Operation 0 duration 79 mins.
Job 0 Operation 1 duration 131 mins.
Job 1 Operation 3 duration 22 mins.
Job 2 Operation 4 duration 41 mins.
Job 4 Operation 4 duration 180 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 133 -> 133
Job 0 Operation 0 on Machine 2 : 0 + 153 -> 153
Job 4 Operation 0 on Machine 3 : 0 + 115 -> 115
Job 5 Operation 0 on Machine 4 : 0 + 79 -> 79
Job 3 Operation 0 on Machine 4 : 79 + 227 -> 306
Job 4 Operation 1 on Machine 0 : 133 + 61 -> 194
Job 1 Operation 1 on Machine 3 : 133 + 283 -> 416
Job 5 Operation 1 on Machine 2 : 153 + 246 -> 399
Job 2 Operation 0 on Machine 0 : 194 + 32 -> 226
Job 4 Operation 2 on Machine 1 : 194 + 229 -> 423
Job 0 Operation 1 on Machine 4 : 306 + 131 -> 437
Job 5 Operation 2 on Machine 0 : 399 + 135 -> 534
Job 2 Operation 1 on Machine 3 : 416 + 55 -> 471
Job 1 Operation 2 on Machine 1 : 423 + 64 -> 487
Job 2 Operation 2 on Machine 2 : 471 + 112 -> 583
Job 0 Operation 2 on Machine 1 : 487 + 61 -> 548
Job 1 Operation 3 on Machine 4 : 487 + 22 -> 509
Job 3 Operation 1 on Machine 1 : 548 + 224 -> 772
Job 0 Operation 3 on Machine 3 : 548 + 294 -> 842
Job 1 Operation 4 on Machine 2 : 583 + 107 -> 690
Job 4 Operation 3 on Machine 2 : 690 + 50 -> 740
Job 4 Operation 4 on Machine 4 : 740 + 180 -> 920
Job 3 Operation 2 on Machine 0 : 772 + 101 -> 873
Job 5 Operation 3 on Machine 1 : 772 + 244 -> 1016
Job 0 Operation 4 on Machine 0 : 873 + 18 -> 891
Job 3 Operation 3 on Machine 3 : 873 + 50 -> 923
Job 3 Operation 4 on Machine 2 : 923 + 260 -> 1183
Job 2 Operation 3 on Machine 1 : 1016 + 196 -> 1212
Job 5 Operation 4 on Machine 3 : 1016 + 218 -> 1234
Job 2 Operation 4 on Machine 4 : 1212 + 41 -> 1253
Makespan: 1253.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 2 |
Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 152 mins.
Operation 1 on Machine 0 duration 381 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 67 mins.
Operation 1 on Machine 1 duration 172 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 358 mins.
Operation 1 on Machine 1 duration 33 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 171 mins.
Operation 1 on Machine 1 duration 210 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 187 mins.
Operation 1 on Machine 0 duration 112 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 428 mins.
Operation 1 on Machine 0 duration 135 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 288 mins.
Operation 1 on Machine 1 duration 425 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 340 mins.
Operation 1 on Machine 1 duration 365 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 262 mins.
Operation 1 on Machine 0 duration 148 mins.
| null |
Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 67 mins.
Job 2 Operation 0 duration 358 mins.
Job 3 Operation 0 duration 171 mins.
Job 6 Operation 0 duration 288 mins.
Job 7 Operation 0 duration 340 mins.
Job 0 Operation 1 duration 381 mins.
Job 4 Operation 1 duration 112 mins.
Job 5 Operation 1 duration 135 mins.
Job 8 Operation 1 duration 148 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 152 mins.
Job 4 Operation 0 duration 187 mins.
Job 5 Operation 0 duration 428 mins.
Job 8 Operation 0 duration 262 mins.
Job 1 Operation 1 duration 172 mins.
Job 2 Operation 1 duration 33 mins.
Job 3 Operation 1 duration 210 mins.
Job 6 Operation 1 duration 425 mins.
Job 7 Operation 1 duration 365 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 67 -> 67
Job 4 Operation 0 on Machine 1 : 0 + 187 -> 187
Job 3 Operation 0 on Machine 0 : 67 + 171 -> 238
Job 5 Operation 0 on Machine 1 : 187 + 428 -> 615
Job 7 Operation 0 on Machine 0 : 238 + 340 -> 578
Job 5 Operation 1 on Machine 0 : 615 + 135 -> 750
Job 7 Operation 1 on Machine 1 : 615 + 365 -> 980
Job 2 Operation 0 on Machine 0 : 750 + 358 -> 1108
Job 0 Operation 0 on Machine 1 : 980 + 152 -> 1132
Job 0 Operation 1 on Machine 0 : 1132 + 381 -> 1513
Job 3 Operation 1 on Machine 1 : 1132 + 210 -> 1342
Job 2 Operation 1 on Machine 1 : 1342 + 33 -> 1375
Job 1 Operation 1 on Machine 1 : 1375 + 172 -> 1547
Job 6 Operation 0 on Machine 0 : 1513 + 288 -> 1801
Job 8 Operation 0 on Machine 1 : 1547 + 262 -> 1809
Job 4 Operation 1 on Machine 0 : 1801 + 112 -> 1913
Job 6 Operation 1 on Machine 1 : 1809 + 425 -> 2234
Job 8 Operation 1 on Machine 0 : 1913 + 148 -> 2061
Makespan: 2234.0, as it is the maximum end completion time of Operation 1
| null |
|
9 | 8 |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 241 mins.
Operation 1 on Machine 5 duration 117 mins.
Operation 2 on Machine 7 duration 11 mins.
Operation 3 on Machine 6 duration 238 mins.
Operation 4 on Machine 0 duration 4 mins.
Operation 5 on Machine 1 duration 50 mins.
Operation 6 on Machine 2 duration 43 mins.
Operation 7 on Machine 4 duration 81 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 192 mins.
Operation 1 on Machine 1 duration 69 mins.
Operation 2 on Machine 3 duration 150 mins.
Operation 3 on Machine 5 duration 197 mins.
Operation 4 on Machine 2 duration 73 mins.
Operation 5 on Machine 0 duration 184 mins.
Operation 6 on Machine 4 duration 106 mins.
Operation 7 on Machine 6 duration 164 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 85 mins.
Operation 1 on Machine 0 duration 65 mins.
Operation 2 on Machine 2 duration 132 mins.
Operation 3 on Machine 3 duration 98 mins.
Operation 4 on Machine 4 duration 104 mins.
Operation 5 on Machine 6 duration 164 mins.
Operation 6 on Machine 5 duration 5 mins.
Operation 7 on Machine 7 duration 156 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 83 mins.
Operation 1 on Machine 5 duration 136 mins.
Operation 2 on Machine 1 duration 193 mins.
Operation 3 on Machine 7 duration 45 mins.
Operation 4 on Machine 2 duration 140 mins.
Operation 5 on Machine 3 duration 97 mins.
Operation 6 on Machine 4 duration 153 mins.
Operation 7 on Machine 0 duration 25 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 120 mins.
Operation 1 on Machine 5 duration 154 mins.
Operation 2 on Machine 7 duration 191 mins.
Operation 3 on Machine 4 duration 249 mins.
Operation 4 on Machine 6 duration 155 mins.
Operation 5 on Machine 0 duration 104 mins.
Operation 6 on Machine 1 duration 132 mins.
Operation 7 on Machine 2 duration 11 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 211 mins.
Operation 1 on Machine 4 duration 149 mins.
Operation 2 on Machine 2 duration 253 mins.
Operation 3 on Machine 5 duration 237 mins.
Operation 4 on Machine 1 duration 94 mins.
Operation 5 on Machine 6 duration 240 mins.
Operation 6 on Machine 7 duration 98 mins.
Operation 7 on Machine 0 duration 84 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 98 mins.
Operation 1 on Machine 6 duration 113 mins.
Operation 2 on Machine 5 duration 248 mins.
Operation 3 on Machine 7 duration 133 mins.
Operation 4 on Machine 3 duration 210 mins.
Operation 5 on Machine 2 duration 62 mins.
Operation 6 on Machine 0 duration 8 mins.
Operation 7 on Machine 4 duration 15 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 212 mins.
Operation 1 on Machine 6 duration 88 mins.
Operation 2 on Machine 2 duration 23 mins.
Operation 3 on Machine 5 duration 136 mins.
Operation 4 on Machine 0 duration 223 mins.
Operation 5 on Machine 4 duration 60 mins.
Operation 6 on Machine 3 duration 212 mins.
Operation 7 on Machine 7 duration 179 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 39 mins.
Operation 1 on Machine 7 duration 251 mins.
Operation 2 on Machine 3 duration 127 mins.
Operation 3 on Machine 1 duration 193 mins.
Operation 4 on Machine 6 duration 208 mins.
Operation 5 on Machine 4 duration 231 mins.
Operation 6 on Machine 5 duration 51 mins.
Operation 7 on Machine 2 duration 108 mins.
| null |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 8 Operation 0 duration 39 mins.
Job 2 Operation 1 duration 65 mins.
Job 0 Operation 4 duration 4 mins.
Job 7 Operation 4 duration 223 mins.
Job 1 Operation 5 duration 184 mins.
Job 4 Operation 5 duration 104 mins.
Job 6 Operation 6 duration 8 mins.
Job 3 Operation 7 duration 25 mins.
Job 5 Operation 7 duration 84 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 85 mins.
Job 6 Operation 0 duration 98 mins.
Job 7 Operation 0 duration 212 mins.
Job 1 Operation 1 duration 69 mins.
Job 3 Operation 2 duration 193 mins.
Job 8 Operation 3 duration 193 mins.
Job 5 Operation 4 duration 94 mins.
Job 0 Operation 5 duration 50 mins.
Job 4 Operation 6 duration 132 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 2 duration 132 mins.
Job 5 Operation 2 duration 253 mins.
Job 7 Operation 2 duration 23 mins.
Job 1 Operation 4 duration 73 mins.
Job 3 Operation 4 duration 140 mins.
Job 6 Operation 5 duration 62 mins.
Job 0 Operation 6 duration 43 mins.
Job 4 Operation 7 duration 11 mins.
Job 8 Operation 7 duration 108 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 241 mins.
Job 4 Operation 0 duration 120 mins.
Job 5 Operation 0 duration 211 mins.
Job 1 Operation 2 duration 150 mins.
Job 8 Operation 2 duration 127 mins.
Job 2 Operation 3 duration 98 mins.
Job 6 Operation 4 duration 210 mins.
Job 3 Operation 5 duration 97 mins.
Job 7 Operation 6 duration 212 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 1 duration 149 mins.
Job 4 Operation 3 duration 249 mins.
Job 2 Operation 4 duration 104 mins.
Job 7 Operation 5 duration 60 mins.
Job 8 Operation 5 duration 231 mins.
Job 1 Operation 6 duration 106 mins.
Job 3 Operation 6 duration 153 mins.
Job 0 Operation 7 duration 81 mins.
Job 6 Operation 7 duration 15 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 1 duration 117 mins.
Job 3 Operation 1 duration 136 mins.
Job 4 Operation 1 duration 154 mins.
Job 6 Operation 2 duration 248 mins.
Job 1 Operation 3 duration 197 mins.
Job 5 Operation 3 duration 237 mins.
Job 7 Operation 3 duration 136 mins.
Job 2 Operation 6 duration 5 mins.
Job 8 Operation 6 duration 51 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 83 mins.
Job 6 Operation 1 duration 113 mins.
Job 7 Operation 1 duration 88 mins.
Job 0 Operation 3 duration 238 mins.
Job 4 Operation 4 duration 155 mins.
Job 8 Operation 4 duration 208 mins.
Job 2 Operation 5 duration 164 mins.
Job 5 Operation 5 duration 240 mins.
Job 1 Operation 7 duration 164 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 192 mins.
Job 8 Operation 1 duration 251 mins.
Job 0 Operation 2 duration 11 mins.
Job 4 Operation 2 duration 191 mins.
Job 3 Operation 3 duration 45 mins.
Job 6 Operation 3 duration 133 mins.
Job 5 Operation 6 duration 98 mins.
Job 2 Operation 7 duration 156 mins.
Job 7 Operation 7 duration 179 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 39 -> 39
Job 2 Operation 0 on Machine 1 : 0 + 85 -> 85
Job 4 Operation 0 on Machine 3 : 0 + 120 -> 120
Job 3 Operation 0 on Machine 6 : 0 + 83 -> 83
Job 8 Operation 1 on Machine 7 : 39 + 251 -> 290
Job 3 Operation 1 on Machine 5 : 83 + 136 -> 219
Job 2 Operation 1 on Machine 0 : 85 + 65 -> 150
Job 6 Operation 0 on Machine 1 : 85 + 98 -> 183
Job 5 Operation 0 on Machine 3 : 120 + 211 -> 331
Job 2 Operation 2 on Machine 2 : 150 + 132 -> 282
Job 7 Operation 0 on Machine 1 : 183 + 212 -> 395
Job 6 Operation 1 on Machine 6 : 183 + 113 -> 296
Job 4 Operation 1 on Machine 5 : 219 + 154 -> 373
Job 1 Operation 0 on Machine 7 : 290 + 192 -> 482
Job 2 Operation 3 on Machine 3 : 331 + 98 -> 429
Job 5 Operation 1 on Machine 4 : 331 + 149 -> 480
Job 6 Operation 2 on Machine 5 : 373 + 248 -> 621
Job 7 Operation 1 on Machine 6 : 395 + 88 -> 483
Job 8 Operation 2 on Machine 3 : 429 + 127 -> 556
Job 2 Operation 4 on Machine 4 : 480 + 104 -> 584
Job 1 Operation 1 on Machine 1 : 482 + 69 -> 551
Job 4 Operation 2 on Machine 7 : 482 + 191 -> 673
Job 7 Operation 2 on Machine 2 : 483 + 23 -> 506
Job 5 Operation 2 on Machine 2 : 506 + 253 -> 759
Job 8 Operation 3 on Machine 1 : 556 + 193 -> 749
Job 1 Operation 2 on Machine 3 : 556 + 150 -> 706
Job 2 Operation 5 on Machine 6 : 584 + 164 -> 748
Job 7 Operation 3 on Machine 5 : 621 + 136 -> 757
Job 4 Operation 3 on Machine 4 : 673 + 249 -> 922
Job 6 Operation 3 on Machine 7 : 673 + 133 -> 806
Job 0 Operation 0 on Machine 3 : 706 + 241 -> 947
Job 3 Operation 2 on Machine 1 : 749 + 193 -> 942
Job 8 Operation 4 on Machine 6 : 749 + 208 -> 957
Job 7 Operation 4 on Machine 0 : 757 + 223 -> 980
Job 5 Operation 3 on Machine 5 : 759 + 237 -> 996
Job 3 Operation 3 on Machine 7 : 942 + 45 -> 987
Job 6 Operation 4 on Machine 3 : 947 + 210 -> 1157
Job 4 Operation 4 on Machine 6 : 957 + 155 -> 1112
Job 7 Operation 5 on Machine 4 : 980 + 60 -> 1040
Job 3 Operation 4 on Machine 2 : 987 + 140 -> 1127
Job 5 Operation 4 on Machine 1 : 996 + 94 -> 1090
Job 2 Operation 6 on Machine 5 : 996 + 5 -> 1001
Job 1 Operation 3 on Machine 5 : 1001 + 197 -> 1198
Job 2 Operation 7 on Machine 7 : 1001 + 156 -> 1157
Job 8 Operation 5 on Machine 4 : 1040 + 231 -> 1271
Job 4 Operation 5 on Machine 0 : 1112 + 104 -> 1216
Job 5 Operation 5 on Machine 6 : 1112 + 240 -> 1352
Job 3 Operation 5 on Machine 3 : 1157 + 97 -> 1254
Job 1 Operation 4 on Machine 2 : 1198 + 73 -> 1271
Job 0 Operation 1 on Machine 5 : 1198 + 117 -> 1315
Job 4 Operation 6 on Machine 1 : 1216 + 132 -> 1348
Job 7 Operation 6 on Machine 3 : 1254 + 212 -> 1466
Job 1 Operation 5 on Machine 0 : 1271 + 184 -> 1455
Job 3 Operation 6 on Machine 4 : 1271 + 153 -> 1424
Job 8 Operation 6 on Machine 5 : 1315 + 51 -> 1366
Job 0 Operation 2 on Machine 7 : 1315 + 11 -> 1326
Job 0 Operation 3 on Machine 6 : 1352 + 238 -> 1590
Job 5 Operation 6 on Machine 7 : 1352 + 98 -> 1450
Job 8 Operation 7 on Machine 2 : 1366 + 108 -> 1474
Job 3 Operation 7 on Machine 0 : 1455 + 25 -> 1480
Job 1 Operation 6 on Machine 4 : 1455 + 106 -> 1561
Job 7 Operation 7 on Machine 7 : 1466 + 179 -> 1645
Job 4 Operation 7 on Machine 2 : 1474 + 11 -> 1485
Job 6 Operation 5 on Machine 2 : 1485 + 62 -> 1547
Job 0 Operation 4 on Machine 0 : 1590 + 4 -> 1594
Job 1 Operation 7 on Machine 6 : 1590 + 164 -> 1754
Job 6 Operation 6 on Machine 0 : 1594 + 8 -> 1602
Job 0 Operation 5 on Machine 1 : 1594 + 50 -> 1644
Job 5 Operation 7 on Machine 0 : 1602 + 84 -> 1686
Job 6 Operation 7 on Machine 4 : 1602 + 15 -> 1617
Job 0 Operation 6 on Machine 2 : 1644 + 43 -> 1687
Job 0 Operation 7 on Machine 4 : 1687 + 81 -> 1768
Makespan: 1768.0, as it is the maximum end completion time of Operation 7
| null |
|
7 | 2 |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 7 mins.
Operation 1 on Machine 1 duration 7 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 9 mins.
Operation 1 on Machine 1 duration 1 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 12 mins.
Operation 1 on Machine 1 duration 4 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 7 mins.
Operation 1 on Machine 0 duration 8 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 0 duration 7 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 7 mins.
Operation 1 on Machine 0 duration 11 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 10 mins.
Operation 1 on Machine 1 duration 12 mins.
| null |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 7 mins.
Job 1 Operation 0 duration 9 mins.
Job 2 Operation 0 duration 12 mins.
Job 6 Operation 0 duration 10 mins.
Job 3 Operation 1 duration 8 mins.
Job 4 Operation 1 duration 7 mins.
Job 5 Operation 1 duration 11 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 7 mins.
Job 4 Operation 0 duration 3 mins.
Job 5 Operation 0 duration 7 mins.
Job 0 Operation 1 duration 7 mins.
Job 1 Operation 1 duration 1 mins.
Job 2 Operation 1 duration 4 mins.
Job 6 Operation 1 duration 12 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 10 -> 10
Job 4 Operation 0 on Machine 1 : 0 + 3 -> 3
Job 5 Operation 0 on Machine 1 : 3 + 7 -> 10
Job 5 Operation 1 on Machine 0 : 10 + 11 -> 21
Job 6 Operation 1 on Machine 1 : 10 + 12 -> 22
Job 1 Operation 0 on Machine 0 : 21 + 9 -> 30
Job 3 Operation 0 on Machine 1 : 22 + 7 -> 29
Job 0 Operation 0 on Machine 0 : 30 + 7 -> 37
Job 1 Operation 1 on Machine 1 : 30 + 1 -> 31
Job 4 Operation 1 on Machine 0 : 37 + 7 -> 44
Job 0 Operation 1 on Machine 1 : 37 + 7 -> 44
Job 2 Operation 0 on Machine 0 : 44 + 12 -> 56
Job 3 Operation 1 on Machine 0 : 56 + 8 -> 64
Job 2 Operation 1 on Machine 1 : 56 + 4 -> 60
Makespan: 64.0, as it is the maximum end completion time of Operation 1
| null |
|
9 | 8 |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 7 duration 73 mins.
Operation 1 on Machine 5 duration 37 mins.
Operation 2 on Machine 1 duration 92 mins.
Operation 3 on Machine 3 duration 105 mins.
Operation 4 on Machine 0 duration 27 mins.
Operation 5 on Machine 4 duration 107 mins.
Operation 6 on Machine 2 duration 10 mins.
Operation 7 on Machine 6 duration 35 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 55 mins.
Operation 1 on Machine 4 duration 36 mins.
Operation 2 on Machine 7 duration 22 mins.
Operation 3 on Machine 0 duration 109 mins.
Operation 4 on Machine 2 duration 72 mins.
Operation 5 on Machine 3 duration 72 mins.
Operation 6 on Machine 1 duration 64 mins.
Operation 7 on Machine 6 duration 39 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 49 mins.
Operation 1 on Machine 3 duration 30 mins.
Operation 2 on Machine 6 duration 131 mins.
Operation 3 on Machine 0 duration 51 mins.
Operation 4 on Machine 4 duration 93 mins.
Operation 5 on Machine 2 duration 104 mins.
Operation 6 on Machine 1 duration 37 mins.
Operation 7 on Machine 7 duration 94 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 75 mins.
Operation 1 on Machine 3 duration 103 mins.
Operation 2 on Machine 1 duration 125 mins.
Operation 3 on Machine 4 duration 64 mins.
Operation 4 on Machine 7 duration 44 mins.
Operation 5 on Machine 5 duration 64 mins.
Operation 6 on Machine 2 duration 83 mins.
Operation 7 on Machine 6 duration 53 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 35 mins.
Operation 1 on Machine 5 duration 25 mins.
Operation 2 on Machine 6 duration 1 mins.
Operation 3 on Machine 0 duration 117 mins.
Operation 4 on Machine 7 duration 29 mins.
Operation 5 on Machine 3 duration 19 mins.
Operation 6 on Machine 2 duration 117 mins.
Operation 7 on Machine 1 duration 16 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 90 mins.
Operation 1 on Machine 2 duration 11 mins.
Operation 2 on Machine 5 duration 92 mins.
Operation 3 on Machine 1 duration 46 mins.
Operation 4 on Machine 7 duration 103 mins.
Operation 5 on Machine 6 duration 38 mins.
Operation 6 on Machine 3 duration 64 mins.
Operation 7 on Machine 4 duration 58 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 100 mins.
Operation 1 on Machine 4 duration 111 mins.
Operation 2 on Machine 1 duration 81 mins.
Operation 3 on Machine 0 duration 52 mins.
Operation 4 on Machine 7 duration 112 mins.
Operation 5 on Machine 2 duration 89 mins.
Operation 6 on Machine 3 duration 31 mins.
Operation 7 on Machine 5 duration 41 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 19 mins.
Operation 1 on Machine 4 duration 53 mins.
Operation 2 on Machine 6 duration 126 mins.
Operation 3 on Machine 5 duration 100 mins.
Operation 4 on Machine 3 duration 94 mins.
Operation 5 on Machine 7 duration 20 mins.
Operation 6 on Machine 2 duration 84 mins.
Operation 7 on Machine 1 duration 31 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 6 duration 29 mins.
Operation 1 on Machine 5 duration 18 mins.
Operation 2 on Machine 3 duration 95 mins.
Operation 3 on Machine 2 duration 108 mins.
Operation 4 on Machine 7 duration 111 mins.
Operation 5 on Machine 1 duration 9 mins.
Operation 6 on Machine 0 duration 121 mins.
Operation 7 on Machine 4 duration 4 mins.
| null |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 75 mins.
Job 5 Operation 0 duration 90 mins.
Job 7 Operation 0 duration 19 mins.
Job 1 Operation 3 duration 109 mins.
Job 2 Operation 3 duration 51 mins.
Job 4 Operation 3 duration 117 mins.
Job 6 Operation 3 duration 52 mins.
Job 0 Operation 4 duration 27 mins.
Job 8 Operation 6 duration 121 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 2 duration 92 mins.
Job 3 Operation 2 duration 125 mins.
Job 6 Operation 2 duration 81 mins.
Job 5 Operation 3 duration 46 mins.
Job 8 Operation 5 duration 9 mins.
Job 1 Operation 6 duration 64 mins.
Job 2 Operation 6 duration 37 mins.
Job 4 Operation 7 duration 16 mins.
Job 7 Operation 7 duration 31 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 1 duration 11 mins.
Job 8 Operation 3 duration 108 mins.
Job 1 Operation 4 duration 72 mins.
Job 2 Operation 5 duration 104 mins.
Job 6 Operation 5 duration 89 mins.
Job 0 Operation 6 duration 10 mins.
Job 3 Operation 6 duration 83 mins.
Job 4 Operation 6 duration 117 mins.
Job 7 Operation 6 duration 84 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 30 mins.
Job 3 Operation 1 duration 103 mins.
Job 8 Operation 2 duration 95 mins.
Job 0 Operation 3 duration 105 mins.
Job 7 Operation 4 duration 94 mins.
Job 1 Operation 5 duration 72 mins.
Job 4 Operation 5 duration 19 mins.
Job 5 Operation 6 duration 64 mins.
Job 6 Operation 6 duration 31 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 35 mins.
Job 1 Operation 1 duration 36 mins.
Job 6 Operation 1 duration 111 mins.
Job 7 Operation 1 duration 53 mins.
Job 3 Operation 3 duration 64 mins.
Job 2 Operation 4 duration 93 mins.
Job 0 Operation 5 duration 107 mins.
Job 5 Operation 7 duration 58 mins.
Job 8 Operation 7 duration 4 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 55 mins.
Job 2 Operation 0 duration 49 mins.
Job 0 Operation 1 duration 37 mins.
Job 4 Operation 1 duration 25 mins.
Job 8 Operation 1 duration 18 mins.
Job 5 Operation 2 duration 92 mins.
Job 7 Operation 3 duration 100 mins.
Job 3 Operation 5 duration 64 mins.
Job 6 Operation 7 duration 41 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 0 duration 100 mins.
Job 8 Operation 0 duration 29 mins.
Job 2 Operation 2 duration 131 mins.
Job 4 Operation 2 duration 1 mins.
Job 7 Operation 2 duration 126 mins.
Job 5 Operation 5 duration 38 mins.
Job 0 Operation 7 duration 35 mins.
Job 1 Operation 7 duration 39 mins.
Job 3 Operation 7 duration 53 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 0 duration 73 mins.
Job 1 Operation 2 duration 22 mins.
Job 3 Operation 4 duration 44 mins.
Job 4 Operation 4 duration 29 mins.
Job 5 Operation 4 duration 103 mins.
Job 6 Operation 4 duration 112 mins.
Job 8 Operation 4 duration 111 mins.
Job 7 Operation 5 duration 20 mins.
Job 2 Operation 7 duration 94 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 90 -> 90
Job 4 Operation 0 on Machine 4 : 0 + 35 -> 35
Job 8 Operation 0 on Machine 6 : 0 + 29 -> 29
Job 0 Operation 0 on Machine 7 : 0 + 73 -> 73
Job 8 Operation 1 on Machine 5 : 29 + 18 -> 47
Job 6 Operation 0 on Machine 6 : 29 + 100 -> 129
Job 8 Operation 2 on Machine 3 : 47 + 95 -> 142
Job 4 Operation 1 on Machine 5 : 47 + 25 -> 72
Job 2 Operation 0 on Machine 5 : 72 + 49 -> 121
Job 3 Operation 0 on Machine 0 : 90 + 75 -> 165
Job 0 Operation 1 on Machine 5 : 121 + 37 -> 158
Job 6 Operation 1 on Machine 4 : 129 + 111 -> 240
Job 4 Operation 2 on Machine 6 : 129 + 1 -> 130
Job 8 Operation 3 on Machine 2 : 142 + 108 -> 250
Job 2 Operation 1 on Machine 3 : 142 + 30 -> 172
Job 0 Operation 2 on Machine 1 : 158 + 92 -> 250
Job 1 Operation 0 on Machine 5 : 158 + 55 -> 213
Job 4 Operation 3 on Machine 0 : 165 + 117 -> 282
Job 3 Operation 1 on Machine 3 : 172 + 103 -> 275
Job 2 Operation 2 on Machine 6 : 172 + 131 -> 303
Job 1 Operation 1 on Machine 4 : 240 + 36 -> 276
Job 6 Operation 2 on Machine 1 : 250 + 81 -> 331
Job 5 Operation 1 on Machine 2 : 250 + 11 -> 261
Job 5 Operation 2 on Machine 5 : 261 + 92 -> 353
Job 7 Operation 0 on Machine 0 : 282 + 19 -> 301
Job 4 Operation 4 on Machine 7 : 282 + 29 -> 311
Job 7 Operation 1 on Machine 4 : 301 + 53 -> 354
Job 2 Operation 3 on Machine 0 : 303 + 51 -> 354
Job 4 Operation 5 on Machine 3 : 311 + 19 -> 330
Job 1 Operation 2 on Machine 7 : 311 + 22 -> 333
Job 4 Operation 6 on Machine 2 : 330 + 117 -> 447
Job 0 Operation 3 on Machine 3 : 330 + 105 -> 435
Job 3 Operation 2 on Machine 1 : 331 + 125 -> 456
Job 8 Operation 4 on Machine 7 : 333 + 111 -> 444
Job 6 Operation 3 on Machine 0 : 354 + 52 -> 406
Job 2 Operation 4 on Machine 4 : 354 + 93 -> 447
Job 7 Operation 2 on Machine 6 : 354 + 126 -> 480
Job 1 Operation 3 on Machine 0 : 406 + 109 -> 515
Job 6 Operation 4 on Machine 7 : 444 + 112 -> 556
Job 2 Operation 5 on Machine 2 : 447 + 104 -> 551
Job 8 Operation 5 on Machine 1 : 456 + 9 -> 465
Job 3 Operation 3 on Machine 4 : 456 + 64 -> 520
Job 4 Operation 7 on Machine 1 : 465 + 16 -> 481
Job 7 Operation 3 on Machine 5 : 480 + 100 -> 580
Job 0 Operation 4 on Machine 0 : 515 + 27 -> 542
Job 8 Operation 6 on Machine 0 : 542 + 121 -> 663
Job 0 Operation 5 on Machine 4 : 542 + 107 -> 649
Job 2 Operation 6 on Machine 1 : 551 + 37 -> 588
Job 1 Operation 4 on Machine 2 : 551 + 72 -> 623
Job 3 Operation 4 on Machine 7 : 556 + 44 -> 600
Job 7 Operation 4 on Machine 3 : 580 + 94 -> 674
Job 5 Operation 3 on Machine 1 : 588 + 46 -> 634
Job 3 Operation 5 on Machine 5 : 600 + 64 -> 664
Job 6 Operation 5 on Machine 2 : 623 + 89 -> 712
Job 5 Operation 4 on Machine 7 : 634 + 103 -> 737
Job 8 Operation 7 on Machine 4 : 663 + 4 -> 667
Job 1 Operation 5 on Machine 3 : 674 + 72 -> 746
Job 0 Operation 6 on Machine 2 : 712 + 10 -> 722
Job 3 Operation 6 on Machine 2 : 722 + 83 -> 805
Job 0 Operation 7 on Machine 6 : 722 + 35 -> 757
Job 7 Operation 5 on Machine 7 : 737 + 20 -> 757
Job 1 Operation 6 on Machine 1 : 746 + 64 -> 810
Job 6 Operation 6 on Machine 3 : 746 + 31 -> 777
Job 5 Operation 5 on Machine 6 : 757 + 38 -> 795
Job 2 Operation 7 on Machine 7 : 757 + 94 -> 851
Job 6 Operation 7 on Machine 5 : 777 + 41 -> 818
Job 5 Operation 6 on Machine 3 : 795 + 64 -> 859
Job 7 Operation 6 on Machine 2 : 805 + 84 -> 889
Job 3 Operation 7 on Machine 6 : 805 + 53 -> 858
Job 1 Operation 7 on Machine 6 : 858 + 39 -> 897
Job 5 Operation 7 on Machine 4 : 859 + 58 -> 917
Job 7 Operation 7 on Machine 1 : 889 + 31 -> 920
Makespan: 920.0, as it is the maximum end completion time of Operation 7
| null |
|
5 | 3 |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 120 mins.
Operation 1 on Machine 0 duration 253 mins.
Operation 2 on Machine 1 duration 420 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 419 mins.
Operation 1 on Machine 0 duration 344 mins.
Operation 2 on Machine 1 duration 129 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 146 mins.
Operation 1 on Machine 0 duration 382 mins.
Operation 2 on Machine 1 duration 213 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 48 mins.
Operation 1 on Machine 0 duration 189 mins.
Operation 2 on Machine 1 duration 395 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 375 mins.
Operation 1 on Machine 1 duration 121 mins.
Operation 2 on Machine 2 duration 332 mins.
| null |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 375 mins.
Job 0 Operation 1 duration 253 mins.
Job 1 Operation 1 duration 344 mins.
Job 2 Operation 1 duration 382 mins.
Job 3 Operation 1 duration 189 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 1 duration 121 mins.
Job 0 Operation 2 duration 420 mins.
Job 1 Operation 2 duration 129 mins.
Job 2 Operation 2 duration 213 mins.
Job 3 Operation 2 duration 395 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 120 mins.
Job 1 Operation 0 duration 419 mins.
Job 2 Operation 0 duration 146 mins.
Job 3 Operation 0 duration 48 mins.
Job 4 Operation 2 duration 332 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 2 : 0 + 48 -> 48
Job 3 Operation 1 on Machine 0 : 48 + 189 -> 237
Job 0 Operation 0 on Machine 2 : 48 + 120 -> 168
Job 2 Operation 0 on Machine 2 : 168 + 146 -> 314
Job 0 Operation 1 on Machine 0 : 237 + 253 -> 490
Job 3 Operation 2 on Machine 1 : 237 + 395 -> 632
Job 1 Operation 0 on Machine 2 : 314 + 419 -> 733
Job 2 Operation 1 on Machine 0 : 490 + 382 -> 872
Job 0 Operation 2 on Machine 1 : 632 + 420 -> 1052
Job 4 Operation 0 on Machine 0 : 872 + 375 -> 1247
Job 2 Operation 2 on Machine 1 : 1052 + 213 -> 1265
Job 1 Operation 1 on Machine 0 : 1247 + 344 -> 1591
Job 4 Operation 1 on Machine 1 : 1265 + 121 -> 1386
Job 4 Operation 2 on Machine 2 : 1386 + 332 -> 1718
Job 1 Operation 2 on Machine 1 : 1591 + 129 -> 1720
Makespan: 1720.0, as it is the maximum end completion time of Operation 2
| null |
|
8 | 6 |
Optimize schedule for 8 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 78 mins.
Operation 1 on Machine 0 duration 294 mins.
Operation 2 on Machine 5 duration 65 mins.
Operation 3 on Machine 3 duration 148 mins.
Operation 4 on Machine 4 duration 78 mins.
Operation 5 on Machine 1 duration 96 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 158 mins.
Operation 1 on Machine 2 duration 254 mins.
Operation 2 on Machine 0 duration 37 mins.
Operation 3 on Machine 3 duration 297 mins.
Operation 4 on Machine 5 duration 56 mins.
Operation 5 on Machine 4 duration 199 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 142 mins.
Operation 1 on Machine 1 duration 139 mins.
Operation 2 on Machine 0 duration 25 mins.
Operation 3 on Machine 2 duration 169 mins.
Operation 4 on Machine 4 duration 134 mins.
Operation 5 on Machine 5 duration 133 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 89 mins.
Operation 1 on Machine 0 duration 60 mins.
Operation 2 on Machine 2 duration 252 mins.
Operation 3 on Machine 4 duration 92 mins.
Operation 4 on Machine 5 duration 142 mins.
Operation 5 on Machine 3 duration 10 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 219 mins.
Operation 1 on Machine 1 duration 192 mins.
Operation 2 on Machine 3 duration 171 mins.
Operation 3 on Machine 4 duration 288 mins.
Operation 4 on Machine 5 duration 42 mins.
Operation 5 on Machine 2 duration 35 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 203 mins.
Operation 1 on Machine 2 duration 45 mins.
Operation 2 on Machine 0 duration 212 mins.
Operation 3 on Machine 3 duration 7 mins.
Operation 4 on Machine 5 duration 139 mins.
Operation 5 on Machine 4 duration 20 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 239 mins.
Operation 1 on Machine 2 duration 5 mins.
Operation 2 on Machine 4 duration 130 mins.
Operation 3 on Machine 0 duration 104 mins.
Operation 4 on Machine 3 duration 77 mins.
Operation 5 on Machine 1 duration 22 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 194 mins.
Operation 1 on Machine 0 duration 50 mins.
Operation 2 on Machine 4 duration 35 mins.
Operation 3 on Machine 1 duration 180 mins.
Operation 4 on Machine 5 duration 140 mins.
Operation 5 on Machine 2 duration 213 mins.
| null |
Optimize schedule for 8 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 219 mins.
Job 0 Operation 1 duration 294 mins.
Job 3 Operation 1 duration 60 mins.
Job 7 Operation 1 duration 50 mins.
Job 1 Operation 2 duration 37 mins.
Job 2 Operation 2 duration 25 mins.
Job 5 Operation 2 duration 212 mins.
Job 6 Operation 3 duration 104 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 158 mins.
Job 3 Operation 0 duration 89 mins.
Job 5 Operation 0 duration 203 mins.
Job 2 Operation 1 duration 139 mins.
Job 4 Operation 1 duration 192 mins.
Job 7 Operation 3 duration 180 mins.
Job 0 Operation 5 duration 96 mins.
Job 6 Operation 5 duration 22 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 78 mins.
Job 1 Operation 1 duration 254 mins.
Job 5 Operation 1 duration 45 mins.
Job 6 Operation 1 duration 5 mins.
Job 3 Operation 2 duration 252 mins.
Job 2 Operation 3 duration 169 mins.
Job 4 Operation 5 duration 35 mins.
Job 7 Operation 5 duration 213 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 142 mins.
Job 7 Operation 0 duration 194 mins.
Job 4 Operation 2 duration 171 mins.
Job 0 Operation 3 duration 148 mins.
Job 1 Operation 3 duration 297 mins.
Job 5 Operation 3 duration 7 mins.
Job 6 Operation 4 duration 77 mins.
Job 3 Operation 5 duration 10 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 2 duration 130 mins.
Job 7 Operation 2 duration 35 mins.
Job 3 Operation 3 duration 92 mins.
Job 4 Operation 3 duration 288 mins.
Job 0 Operation 4 duration 78 mins.
Job 2 Operation 4 duration 134 mins.
Job 1 Operation 5 duration 199 mins.
Job 5 Operation 5 duration 20 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 239 mins.
Job 0 Operation 2 duration 65 mins.
Job 1 Operation 4 duration 56 mins.
Job 3 Operation 4 duration 142 mins.
Job 4 Operation 4 duration 42 mins.
Job 5 Operation 4 duration 139 mins.
Job 7 Operation 4 duration 140 mins.
Job 2 Operation 5 duration 133 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 219 -> 219
Job 1 Operation 0 on Machine 1 : 0 + 158 -> 158
Job 0 Operation 0 on Machine 2 : 0 + 78 -> 78
Job 2 Operation 0 on Machine 3 : 0 + 142 -> 142
Job 6 Operation 0 on Machine 5 : 0 + 239 -> 239
Job 7 Operation 0 on Machine 3 : 142 + 194 -> 336
Job 3 Operation 0 on Machine 1 : 158 + 89 -> 247
Job 1 Operation 1 on Machine 2 : 158 + 254 -> 412
Job 4 Operation 1 on Machine 1 : 247 + 192 -> 439
Job 7 Operation 1 on Machine 0 : 336 + 50 -> 386
Job 7 Operation 2 on Machine 4 : 386 + 35 -> 421
Job 1 Operation 2 on Machine 0 : 412 + 37 -> 449
Job 6 Operation 1 on Machine 2 : 412 + 5 -> 417
Job 6 Operation 2 on Machine 4 : 421 + 130 -> 551
Job 7 Operation 3 on Machine 1 : 439 + 180 -> 619
Job 4 Operation 2 on Machine 3 : 439 + 171 -> 610
Job 3 Operation 1 on Machine 0 : 449 + 60 -> 509
Job 0 Operation 1 on Machine 0 : 509 + 294 -> 803
Job 3 Operation 2 on Machine 2 : 509 + 252 -> 761
Job 1 Operation 3 on Machine 3 : 610 + 297 -> 907
Job 4 Operation 3 on Machine 4 : 610 + 288 -> 898
Job 2 Operation 1 on Machine 1 : 619 + 139 -> 758
Job 7 Operation 4 on Machine 5 : 619 + 140 -> 759
Job 5 Operation 0 on Machine 1 : 758 + 203 -> 961
Job 2 Operation 2 on Machine 0 : 803 + 25 -> 828
Job 0 Operation 2 on Machine 5 : 803 + 65 -> 868
Job 6 Operation 3 on Machine 0 : 828 + 104 -> 932
Job 2 Operation 3 on Machine 2 : 828 + 169 -> 997
Job 3 Operation 3 on Machine 4 : 898 + 92 -> 990
Job 4 Operation 4 on Machine 5 : 898 + 42 -> 940
Job 0 Operation 3 on Machine 3 : 907 + 148 -> 1055
Job 1 Operation 4 on Machine 5 : 940 + 56 -> 996
Job 3 Operation 4 on Machine 5 : 996 + 142 -> 1138
Job 5 Operation 1 on Machine 2 : 997 + 45 -> 1042
Job 2 Operation 4 on Machine 4 : 997 + 134 -> 1131
Job 5 Operation 2 on Machine 0 : 1042 + 212 -> 1254
Job 7 Operation 5 on Machine 2 : 1042 + 213 -> 1255
Job 0 Operation 4 on Machine 4 : 1131 + 78 -> 1209
Job 3 Operation 5 on Machine 3 : 1138 + 10 -> 1148
Job 2 Operation 5 on Machine 5 : 1138 + 133 -> 1271
Job 0 Operation 5 on Machine 1 : 1209 + 96 -> 1305
Job 1 Operation 5 on Machine 4 : 1209 + 199 -> 1408
Job 5 Operation 3 on Machine 3 : 1254 + 7 -> 1261
Job 4 Operation 5 on Machine 2 : 1255 + 35 -> 1290
Job 6 Operation 4 on Machine 3 : 1261 + 77 -> 1338
Job 5 Operation 4 on Machine 5 : 1271 + 139 -> 1410
Job 6 Operation 5 on Machine 1 : 1338 + 22 -> 1360
Job 5 Operation 5 on Machine 4 : 1410 + 20 -> 1430
Makespan: 1430.0, as it is the maximum end completion time of Operation 5
| null |
|
9 | 5 |
Optimize schedule for 9 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 52 mins.
Operation 1 on Machine 2 duration 339 mins.
Operation 2 on Machine 3 duration 129 mins.
Operation 3 on Machine 4 duration 276 mins.
Operation 4 on Machine 0 duration 253 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 100 mins.
Operation 1 on Machine 4 duration 369 mins.
Operation 2 on Machine 3 duration 167 mins.
Operation 3 on Machine 0 duration 144 mins.
Operation 4 on Machine 2 duration 319 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 374 mins.
Operation 1 on Machine 4 duration 58 mins.
Operation 2 on Machine 1 duration 226 mins.
Operation 3 on Machine 3 duration 156 mins.
Operation 4 on Machine 0 duration 193 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 349 mins.
Operation 1 on Machine 4 duration 62 mins.
Operation 2 on Machine 0 duration 389 mins.
Operation 3 on Machine 2 duration 392 mins.
Operation 4 on Machine 1 duration 23 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 81 mins.
Operation 1 on Machine 0 duration 89 mins.
Operation 2 on Machine 3 duration 10 mins.
Operation 3 on Machine 2 duration 37 mins.
Operation 4 on Machine 1 duration 319 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 331 mins.
Operation 1 on Machine 2 duration 337 mins.
Operation 2 on Machine 1 duration 217 mins.
Operation 3 on Machine 0 duration 244 mins.
Operation 4 on Machine 3 duration 197 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 152 mins.
Operation 1 on Machine 0 duration 314 mins.
Operation 2 on Machine 4 duration 5 mins.
Operation 3 on Machine 3 duration 327 mins.
Operation 4 on Machine 1 duration 42 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 351 mins.
Operation 1 on Machine 1 duration 365 mins.
Operation 2 on Machine 3 duration 199 mins.
Operation 3 on Machine 4 duration 150 mins.
Operation 4 on Machine 0 duration 148 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 5 mins.
Operation 1 on Machine 4 duration 302 mins.
Operation 2 on Machine 1 duration 263 mins.
Operation 3 on Machine 0 duration 32 mins.
Operation 4 on Machine 2 duration 13 mins.
| null |
Optimize schedule for 9 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 1 duration 89 mins.
Job 6 Operation 1 duration 314 mins.
Job 3 Operation 2 duration 389 mins.
Job 1 Operation 3 duration 144 mins.
Job 5 Operation 3 duration 244 mins.
Job 8 Operation 3 duration 32 mins.
Job 0 Operation 4 duration 253 mins.
Job 2 Operation 4 duration 193 mins.
Job 7 Operation 4 duration 148 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 52 mins.
Job 1 Operation 0 duration 100 mins.
Job 7 Operation 1 duration 365 mins.
Job 2 Operation 2 duration 226 mins.
Job 5 Operation 2 duration 217 mins.
Job 8 Operation 2 duration 263 mins.
Job 3 Operation 4 duration 23 mins.
Job 4 Operation 4 duration 319 mins.
Job 6 Operation 4 duration 42 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 374 mins.
Job 6 Operation 0 duration 152 mins.
Job 7 Operation 0 duration 351 mins.
Job 0 Operation 1 duration 339 mins.
Job 5 Operation 1 duration 337 mins.
Job 3 Operation 3 duration 392 mins.
Job 4 Operation 3 duration 37 mins.
Job 1 Operation 4 duration 319 mins.
Job 8 Operation 4 duration 13 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 349 mins.
Job 8 Operation 0 duration 5 mins.
Job 0 Operation 2 duration 129 mins.
Job 1 Operation 2 duration 167 mins.
Job 4 Operation 2 duration 10 mins.
Job 7 Operation 2 duration 199 mins.
Job 2 Operation 3 duration 156 mins.
Job 6 Operation 3 duration 327 mins.
Job 5 Operation 4 duration 197 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 81 mins.
Job 5 Operation 0 duration 331 mins.
Job 1 Operation 1 duration 369 mins.
Job 2 Operation 1 duration 58 mins.
Job 3 Operation 1 duration 62 mins.
Job 8 Operation 1 duration 302 mins.
Job 6 Operation 2 duration 5 mins.
Job 0 Operation 3 duration 276 mins.
Job 7 Operation 3 duration 150 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 1 : 0 + 100 -> 100
Job 7 Operation 0 on Machine 2 : 0 + 351 -> 351
Job 8 Operation 0 on Machine 3 : 0 + 5 -> 5
Job 4 Operation 0 on Machine 4 : 0 + 81 -> 81
Job 3 Operation 0 on Machine 3 : 5 + 349 -> 354
Job 4 Operation 1 on Machine 0 : 81 + 89 -> 170
Job 0 Operation 0 on Machine 1 : 100 + 52 -> 152
Job 1 Operation 1 on Machine 4 : 100 + 369 -> 469
Job 7 Operation 1 on Machine 1 : 351 + 365 -> 716
Job 6 Operation 0 on Machine 2 : 351 + 152 -> 503
Job 4 Operation 2 on Machine 3 : 354 + 10 -> 364
Job 1 Operation 2 on Machine 3 : 469 + 167 -> 636
Job 3 Operation 1 on Machine 4 : 469 + 62 -> 531
Job 4 Operation 3 on Machine 2 : 503 + 37 -> 540
Job 3 Operation 2 on Machine 0 : 531 + 389 -> 920
Job 5 Operation 0 on Machine 4 : 531 + 331 -> 862
Job 0 Operation 1 on Machine 2 : 540 + 339 -> 879
Job 4 Operation 4 on Machine 1 : 716 + 319 -> 1035
Job 7 Operation 2 on Machine 3 : 716 + 199 -> 915
Job 5 Operation 1 on Machine 2 : 879 + 337 -> 1216
Job 0 Operation 2 on Machine 3 : 915 + 129 -> 1044
Job 7 Operation 3 on Machine 4 : 915 + 150 -> 1065
Job 1 Operation 3 on Machine 0 : 920 + 144 -> 1064
Job 7 Operation 4 on Machine 0 : 1065 + 148 -> 1213
Job 0 Operation 3 on Machine 4 : 1065 + 276 -> 1341
Job 6 Operation 1 on Machine 0 : 1213 + 314 -> 1527
Job 5 Operation 2 on Machine 1 : 1216 + 217 -> 1433
Job 2 Operation 0 on Machine 2 : 1216 + 374 -> 1590
Job 0 Operation 4 on Machine 0 : 1527 + 253 -> 1780
Job 6 Operation 2 on Machine 4 : 1527 + 5 -> 1532
Job 6 Operation 3 on Machine 3 : 1532 + 327 -> 1859
Job 3 Operation 3 on Machine 2 : 1590 + 392 -> 1982
Job 2 Operation 1 on Machine 4 : 1590 + 58 -> 1648
Job 2 Operation 2 on Machine 1 : 1648 + 226 -> 1874
Job 8 Operation 1 on Machine 4 : 1648 + 302 -> 1950
Job 5 Operation 3 on Machine 0 : 1780 + 244 -> 2024
Job 6 Operation 4 on Machine 1 : 1874 + 42 -> 1916
Job 2 Operation 3 on Machine 3 : 1874 + 156 -> 2030
Job 3 Operation 4 on Machine 1 : 1982 + 23 -> 2005
Job 1 Operation 4 on Machine 2 : 1982 + 319 -> 2301
Job 8 Operation 2 on Machine 1 : 2005 + 263 -> 2268
Job 2 Operation 4 on Machine 0 : 2030 + 193 -> 2223
Job 5 Operation 4 on Machine 3 : 2030 + 197 -> 2227
Job 8 Operation 3 on Machine 0 : 2268 + 32 -> 2300
Job 8 Operation 4 on Machine 2 : 2301 + 13 -> 2314
Makespan: 2314.0, as it is the maximum end completion time of Operation 4
| null |
|
6 | 5 |
Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 10 mins.
Operation 1 on Machine 1 duration 30 mins.
Operation 2 on Machine 2 duration 1 mins.
Operation 3 on Machine 4 duration 30 mins.
Operation 4 on Machine 3 duration 21 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 18 mins.
Operation 1 on Machine 0 duration 28 mins.
Operation 2 on Machine 1 duration 3 mins.
Operation 3 on Machine 2 duration 20 mins.
Operation 4 on Machine 4 duration 19 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 7 mins.
Operation 1 on Machine 0 duration 29 mins.
Operation 2 on Machine 3 duration 8 mins.
Operation 3 on Machine 4 duration 23 mins.
Operation 4 on Machine 2 duration 22 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 11 mins.
Operation 1 on Machine 2 duration 1 mins.
Operation 2 on Machine 3 duration 19 mins.
Operation 3 on Machine 4 duration 22 mins.
Operation 4 on Machine 1 duration 17 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 25 mins.
Operation 1 on Machine 3 duration 20 mins.
Operation 2 on Machine 2 duration 7 mins.
Operation 3 on Machine 4 duration 4 mins.
Operation 4 on Machine 0 duration 29 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 7 mins.
Operation 1 on Machine 1 duration 20 mins.
Operation 2 on Machine 0 duration 4 mins.
Operation 3 on Machine 2 duration 8 mins.
Operation 4 on Machine 4 duration 11 mins.
| null |
Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 10 mins.
Job 3 Operation 0 duration 11 mins.
Job 1 Operation 1 duration 28 mins.
Job 2 Operation 1 duration 29 mins.
Job 5 Operation 2 duration 4 mins.
Job 4 Operation 4 duration 29 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 7 mins.
Job 4 Operation 0 duration 25 mins.
Job 0 Operation 1 duration 30 mins.
Job 5 Operation 1 duration 20 mins.
Job 1 Operation 2 duration 3 mins.
Job 3 Operation 4 duration 17 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 1 mins.
Job 0 Operation 2 duration 1 mins.
Job 4 Operation 2 duration 7 mins.
Job 1 Operation 3 duration 20 mins.
Job 5 Operation 3 duration 8 mins.
Job 2 Operation 4 duration 22 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 18 mins.
Job 5 Operation 0 duration 7 mins.
Job 4 Operation 1 duration 20 mins.
Job 2 Operation 2 duration 8 mins.
Job 3 Operation 2 duration 19 mins.
Job 0 Operation 4 duration 21 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 3 duration 30 mins.
Job 2 Operation 3 duration 23 mins.
Job 3 Operation 3 duration 22 mins.
Job 4 Operation 3 duration 4 mins.
Job 1 Operation 4 duration 19 mins.
Job 5 Operation 4 duration 11 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 11 -> 11
Job 2 Operation 0 on Machine 1 : 0 + 7 -> 7
Job 5 Operation 0 on Machine 3 : 0 + 7 -> 7
Job 5 Operation 1 on Machine 1 : 7 + 20 -> 27
Job 2 Operation 1 on Machine 0 : 11 + 29 -> 40
Job 3 Operation 1 on Machine 2 : 11 + 1 -> 12
Job 3 Operation 2 on Machine 3 : 12 + 19 -> 31
Job 4 Operation 0 on Machine 1 : 27 + 25 -> 52
Job 1 Operation 0 on Machine 3 : 31 + 18 -> 49
Job 3 Operation 3 on Machine 4 : 31 + 22 -> 53
Job 5 Operation 2 on Machine 0 : 40 + 4 -> 44
Job 0 Operation 0 on Machine 0 : 44 + 10 -> 54
Job 5 Operation 3 on Machine 2 : 44 + 8 -> 52
Job 2 Operation 2 on Machine 3 : 49 + 8 -> 57
Job 5 Operation 4 on Machine 4 : 53 + 11 -> 64
Job 1 Operation 1 on Machine 0 : 54 + 28 -> 82
Job 0 Operation 1 on Machine 1 : 54 + 30 -> 84
Job 4 Operation 1 on Machine 3 : 57 + 20 -> 77
Job 2 Operation 3 on Machine 4 : 64 + 23 -> 87
Job 4 Operation 2 on Machine 2 : 77 + 7 -> 84
Job 1 Operation 2 on Machine 1 : 84 + 3 -> 87
Job 0 Operation 2 on Machine 2 : 84 + 1 -> 85
Job 3 Operation 4 on Machine 1 : 87 + 17 -> 104
Job 1 Operation 3 on Machine 2 : 87 + 20 -> 107
Job 4 Operation 3 on Machine 4 : 87 + 4 -> 91
Job 4 Operation 4 on Machine 0 : 91 + 29 -> 120
Job 0 Operation 3 on Machine 4 : 91 + 30 -> 121
Job 2 Operation 4 on Machine 2 : 107 + 22 -> 129
Job 0 Operation 4 on Machine 3 : 121 + 21 -> 142
Job 1 Operation 4 on Machine 4 : 121 + 19 -> 140
Makespan: 142.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 9 |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 252 mins.
Operation 1 on Machine 5 duration 249 mins.
Operation 2 on Machine 8 duration 336 mins.
Operation 3 on Machine 4 duration 336 mins.
Operation 4 on Machine 3 duration 283 mins.
Operation 5 on Machine 0 duration 190 mins.
Operation 6 on Machine 7 duration 250 mins.
Operation 7 on Machine 2 duration 19 mins.
Operation 8 on Machine 1 duration 73 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 221 mins.
Operation 1 on Machine 6 duration 200 mins.
Operation 2 on Machine 3 duration 253 mins.
Operation 3 on Machine 0 duration 229 mins.
Operation 4 on Machine 1 duration 223 mins.
Operation 5 on Machine 5 duration 356 mins.
Operation 6 on Machine 2 duration 372 mins.
Operation 7 on Machine 7 duration 243 mins.
Operation 8 on Machine 8 duration 358 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 93 mins.
Operation 1 on Machine 1 duration 315 mins.
Operation 2 on Machine 8 duration 291 mins.
Operation 3 on Machine 7 duration 279 mins.
Operation 4 on Machine 2 duration 213 mins.
Operation 5 on Machine 5 duration 116 mins.
Operation 6 on Machine 4 duration 373 mins.
Operation 7 on Machine 0 duration 50 mins.
Operation 8 on Machine 3 duration 189 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 67 mins.
Operation 1 on Machine 7 duration 398 mins.
Operation 2 on Machine 8 duration 40 mins.
Operation 3 on Machine 1 duration 258 mins.
Operation 4 on Machine 0 duration 73 mins.
Operation 5 on Machine 3 duration 398 mins.
Operation 6 on Machine 2 duration 238 mins.
Operation 7 on Machine 6 duration 313 mins.
Operation 8 on Machine 4 duration 217 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 131 mins.
Operation 1 on Machine 5 duration 27 mins.
Operation 2 on Machine 6 duration 240 mins.
Operation 3 on Machine 7 duration 250 mins.
Operation 4 on Machine 4 duration 299 mins.
Operation 5 on Machine 2 duration 343 mins.
Operation 6 on Machine 8 duration 361 mins.
Operation 7 on Machine 3 duration 209 mins.
Operation 8 on Machine 0 duration 103 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 393 mins.
Operation 1 on Machine 8 duration 233 mins.
Operation 2 on Machine 6 duration 194 mins.
Operation 3 on Machine 5 duration 263 mins.
Operation 4 on Machine 2 duration 218 mins.
Operation 5 on Machine 1 duration 142 mins.
Operation 6 on Machine 7 duration 266 mins.
Operation 7 on Machine 4 duration 17 mins.
Operation 8 on Machine 3 duration 155 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 8 duration 149 mins.
Operation 1 on Machine 3 duration 287 mins.
Operation 2 on Machine 5 duration 355 mins.
Operation 3 on Machine 4 duration 162 mins.
Operation 4 on Machine 0 duration 128 mins.
Operation 5 on Machine 7 duration 27 mins.
Operation 6 on Machine 1 duration 249 mins.
Operation 7 on Machine 2 duration 222 mins.
Operation 8 on Machine 6 duration 4 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 61 mins.
Operation 1 on Machine 2 duration 24 mins.
Operation 2 on Machine 4 duration 128 mins.
Operation 3 on Machine 3 duration 365 mins.
Operation 4 on Machine 7 duration 396 mins.
Operation 5 on Machine 8 duration 313 mins.
Operation 6 on Machine 6 duration 316 mins.
Operation 7 on Machine 5 duration 345 mins.
Operation 8 on Machine 0 duration 2 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 17 mins.
Operation 1 on Machine 7 duration 162 mins.
Operation 2 on Machine 5 duration 75 mins.
Operation 3 on Machine 6 duration 152 mins.
Operation 4 on Machine 1 duration 229 mins.
Operation 5 on Machine 0 duration 283 mins.
Operation 6 on Machine 8 duration 169 mins.
Operation 7 on Machine 4 duration 358 mins.
Operation 8 on Machine 3 duration 371 mins.
| null |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 393 mins.
Job 1 Operation 3 duration 229 mins.
Job 3 Operation 4 duration 73 mins.
Job 6 Operation 4 duration 128 mins.
Job 0 Operation 5 duration 190 mins.
Job 8 Operation 5 duration 283 mins.
Job 2 Operation 7 duration 50 mins.
Job 4 Operation 8 duration 103 mins.
Job 7 Operation 8 duration 2 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 131 mins.
Job 7 Operation 0 duration 61 mins.
Job 2 Operation 1 duration 315 mins.
Job 3 Operation 3 duration 258 mins.
Job 1 Operation 4 duration 223 mins.
Job 8 Operation 4 duration 229 mins.
Job 5 Operation 5 duration 142 mins.
Job 6 Operation 6 duration 249 mins.
Job 0 Operation 8 duration 73 mins.
Machine 2 is used for the following Operations:
Job 8 Operation 0 duration 17 mins.
Job 7 Operation 1 duration 24 mins.
Job 2 Operation 4 duration 213 mins.
Job 5 Operation 4 duration 218 mins.
Job 4 Operation 5 duration 343 mins.
Job 1 Operation 6 duration 372 mins.
Job 3 Operation 6 duration 238 mins.
Job 0 Operation 7 duration 19 mins.
Job 6 Operation 7 duration 222 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 1 duration 287 mins.
Job 1 Operation 2 duration 253 mins.
Job 7 Operation 3 duration 365 mins.
Job 0 Operation 4 duration 283 mins.
Job 3 Operation 5 duration 398 mins.
Job 4 Operation 7 duration 209 mins.
Job 2 Operation 8 duration 189 mins.
Job 5 Operation 8 duration 155 mins.
Job 8 Operation 8 duration 371 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 221 mins.
Job 7 Operation 2 duration 128 mins.
Job 0 Operation 3 duration 336 mins.
Job 6 Operation 3 duration 162 mins.
Job 4 Operation 4 duration 299 mins.
Job 2 Operation 6 duration 373 mins.
Job 5 Operation 7 duration 17 mins.
Job 8 Operation 7 duration 358 mins.
Job 3 Operation 8 duration 217 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 67 mins.
Job 0 Operation 1 duration 249 mins.
Job 4 Operation 1 duration 27 mins.
Job 6 Operation 2 duration 355 mins.
Job 8 Operation 2 duration 75 mins.
Job 5 Operation 3 duration 263 mins.
Job 1 Operation 5 duration 356 mins.
Job 2 Operation 5 duration 116 mins.
Job 7 Operation 7 duration 345 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 252 mins.
Job 2 Operation 0 duration 93 mins.
Job 1 Operation 1 duration 200 mins.
Job 4 Operation 2 duration 240 mins.
Job 5 Operation 2 duration 194 mins.
Job 8 Operation 3 duration 152 mins.
Job 7 Operation 6 duration 316 mins.
Job 3 Operation 7 duration 313 mins.
Job 6 Operation 8 duration 4 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 1 duration 398 mins.
Job 8 Operation 1 duration 162 mins.
Job 2 Operation 3 duration 279 mins.
Job 4 Operation 3 duration 250 mins.
Job 7 Operation 4 duration 396 mins.
Job 6 Operation 5 duration 27 mins.
Job 0 Operation 6 duration 250 mins.
Job 5 Operation 6 duration 266 mins.
Job 1 Operation 7 duration 243 mins.
Machine 8 is used for the following Operations:
Job 6 Operation 0 duration 149 mins.
Job 5 Operation 1 duration 233 mins.
Job 0 Operation 2 duration 336 mins.
Job 2 Operation 2 duration 291 mins.
Job 3 Operation 2 duration 40 mins.
Job 7 Operation 5 duration 313 mins.
Job 4 Operation 6 duration 361 mins.
Job 8 Operation 6 duration 169 mins.
Job 1 Operation 8 duration 358 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 393 -> 393
Job 4 Operation 0 on Machine 1 : 0 + 131 -> 131
Job 8 Operation 0 on Machine 2 : 0 + 17 -> 17
Job 1 Operation 0 on Machine 4 : 0 + 221 -> 221
Job 3 Operation 0 on Machine 5 : 0 + 67 -> 67
Job 2 Operation 0 on Machine 6 : 0 + 93 -> 93
Job 6 Operation 0 on Machine 8 : 0 + 149 -> 149
Job 3 Operation 1 on Machine 7 : 67 + 398 -> 465
Job 7 Operation 0 on Machine 1 : 131 + 61 -> 192
Job 4 Operation 1 on Machine 5 : 131 + 27 -> 158
Job 6 Operation 1 on Machine 3 : 149 + 287 -> 436
Job 4 Operation 2 on Machine 6 : 158 + 240 -> 398
Job 2 Operation 1 on Machine 1 : 192 + 315 -> 507
Job 7 Operation 1 on Machine 2 : 192 + 24 -> 216
Job 7 Operation 2 on Machine 4 : 221 + 128 -> 349
Job 5 Operation 1 on Machine 8 : 393 + 233 -> 626
Job 0 Operation 0 on Machine 6 : 398 + 252 -> 650
Job 7 Operation 3 on Machine 3 : 436 + 365 -> 801
Job 4 Operation 3 on Machine 7 : 465 + 250 -> 715
Job 3 Operation 2 on Machine 8 : 626 + 40 -> 666
Job 0 Operation 1 on Machine 5 : 650 + 249 -> 899
Job 1 Operation 1 on Machine 6 : 650 + 200 -> 850
Job 3 Operation 3 on Machine 1 : 666 + 258 -> 924
Job 2 Operation 2 on Machine 8 : 666 + 291 -> 957
Job 4 Operation 4 on Machine 4 : 715 + 299 -> 1014
Job 8 Operation 1 on Machine 7 : 715 + 162 -> 877
Job 1 Operation 2 on Machine 3 : 850 + 253 -> 1103
Job 5 Operation 2 on Machine 6 : 850 + 194 -> 1044
Job 8 Operation 2 on Machine 5 : 899 + 75 -> 974
Job 3 Operation 4 on Machine 0 : 924 + 73 -> 997
Job 2 Operation 3 on Machine 7 : 957 + 279 -> 1236
Job 0 Operation 2 on Machine 8 : 957 + 336 -> 1293
Job 4 Operation 5 on Machine 2 : 1014 + 343 -> 1357
Job 5 Operation 3 on Machine 5 : 1044 + 263 -> 1307
Job 8 Operation 3 on Machine 6 : 1044 + 152 -> 1196
Job 1 Operation 3 on Machine 0 : 1103 + 229 -> 1332
Job 3 Operation 5 on Machine 3 : 1103 + 398 -> 1501
Job 8 Operation 4 on Machine 1 : 1196 + 229 -> 1425
Job 7 Operation 4 on Machine 7 : 1236 + 396 -> 1632
Job 0 Operation 3 on Machine 4 : 1293 + 336 -> 1629
Job 6 Operation 2 on Machine 5 : 1307 + 355 -> 1662
Job 5 Operation 4 on Machine 2 : 1357 + 218 -> 1575
Job 4 Operation 6 on Machine 8 : 1357 + 361 -> 1718
Job 8 Operation 5 on Machine 0 : 1425 + 283 -> 1708
Job 1 Operation 4 on Machine 1 : 1425 + 223 -> 1648
Job 3 Operation 6 on Machine 2 : 1575 + 238 -> 1813
Job 0 Operation 4 on Machine 3 : 1629 + 283 -> 1912
Job 5 Operation 5 on Machine 1 : 1648 + 142 -> 1790
Job 6 Operation 3 on Machine 4 : 1662 + 162 -> 1824
Job 1 Operation 5 on Machine 5 : 1662 + 356 -> 2018
Job 8 Operation 6 on Machine 8 : 1718 + 169 -> 1887
Job 5 Operation 6 on Machine 7 : 1790 + 266 -> 2056
Job 2 Operation 4 on Machine 2 : 1813 + 213 -> 2026
Job 3 Operation 7 on Machine 6 : 1813 + 313 -> 2126
Job 8 Operation 7 on Machine 4 : 1887 + 358 -> 2245
Job 7 Operation 5 on Machine 8 : 1887 + 313 -> 2200
Job 0 Operation 5 on Machine 0 : 1912 + 190 -> 2102
Job 4 Operation 7 on Machine 3 : 1912 + 209 -> 2121
Job 1 Operation 6 on Machine 2 : 2026 + 372 -> 2398
Job 2 Operation 5 on Machine 5 : 2026 + 116 -> 2142
Job 0 Operation 6 on Machine 7 : 2102 + 250 -> 2352
Job 4 Operation 8 on Machine 0 : 2121 + 103 -> 2224
Job 7 Operation 6 on Machine 6 : 2200 + 316 -> 2516
Job 6 Operation 4 on Machine 0 : 2224 + 128 -> 2352
Job 8 Operation 8 on Machine 3 : 2245 + 371 -> 2616
Job 2 Operation 6 on Machine 4 : 2245 + 373 -> 2618
Job 6 Operation 5 on Machine 7 : 2352 + 27 -> 2379
Job 0 Operation 7 on Machine 2 : 2398 + 19 -> 2417
Job 1 Operation 7 on Machine 7 : 2398 + 243 -> 2641
Job 0 Operation 8 on Machine 1 : 2417 + 73 -> 2490
Job 6 Operation 6 on Machine 1 : 2490 + 249 -> 2739
Job 7 Operation 7 on Machine 5 : 2516 + 345 -> 2861
Job 2 Operation 7 on Machine 0 : 2618 + 50 -> 2668
Job 5 Operation 7 on Machine 4 : 2618 + 17 -> 2635
Job 5 Operation 8 on Machine 3 : 2635 + 155 -> 2790
Job 3 Operation 8 on Machine 4 : 2635 + 217 -> 2852
Job 1 Operation 8 on Machine 8 : 2641 + 358 -> 2999
Job 6 Operation 7 on Machine 2 : 2739 + 222 -> 2961
Job 2 Operation 8 on Machine 3 : 2790 + 189 -> 2979
Job 7 Operation 8 on Machine 0 : 2861 + 2 -> 2863
Job 6 Operation 8 on Machine 6 : 2961 + 4 -> 2965
Makespan: 2999.0, as it is the maximum end completion time of Operation 8
| null |
|
10 | 6 |
Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 30 mins.
Operation 1 on Machine 4 duration 16 mins.
Operation 2 on Machine 1 duration 59 mins.
Operation 3 on Machine 2 duration 75 mins.
Operation 4 on Machine 3 duration 15 mins.
Operation 5 on Machine 5 duration 50 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 77 mins.
Operation 1 on Machine 5 duration 74 mins.
Operation 2 on Machine 1 duration 74 mins.
Operation 3 on Machine 2 duration 47 mins.
Operation 4 on Machine 3 duration 81 mins.
Operation 5 on Machine 0 duration 18 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 54 mins.
Operation 1 on Machine 0 duration 14 mins.
Operation 2 on Machine 4 duration 50 mins.
Operation 3 on Machine 1 duration 47 mins.
Operation 4 on Machine 2 duration 4 mins.
Operation 5 on Machine 3 duration 14 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 41 mins.
Operation 1 on Machine 4 duration 41 mins.
Operation 2 on Machine 3 duration 67 mins.
Operation 3 on Machine 1 duration 60 mins.
Operation 4 on Machine 0 duration 23 mins.
Operation 5 on Machine 5 duration 42 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 92 mins.
Operation 1 on Machine 3 duration 68 mins.
Operation 2 on Machine 0 duration 70 mins.
Operation 3 on Machine 4 duration 93 mins.
Operation 4 on Machine 5 duration 47 mins.
Operation 5 on Machine 1 duration 31 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 43 mins.
Operation 1 on Machine 4 duration 6 mins.
Operation 2 on Machine 0 duration 86 mins.
Operation 3 on Machine 5 duration 8 mins.
Operation 4 on Machine 3 duration 13 mins.
Operation 5 on Machine 1 duration 78 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 49 mins.
Operation 1 on Machine 4 duration 80 mins.
Operation 2 on Machine 5 duration 87 mins.
Operation 3 on Machine 0 duration 79 mins.
Operation 4 on Machine 2 duration 48 mins.
Operation 5 on Machine 1 duration 19 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 32 mins.
Operation 1 on Machine 1 duration 92 mins.
Operation 2 on Machine 5 duration 52 mins.
Operation 3 on Machine 3 duration 90 mins.
Operation 4 on Machine 4 duration 75 mins.
Operation 5 on Machine 2 duration 51 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 21 mins.
Operation 1 on Machine 4 duration 16 mins.
Operation 2 on Machine 5 duration 31 mins.
Operation 3 on Machine 3 duration 84 mins.
Operation 4 on Machine 2 duration 39 mins.
Operation 5 on Machine 1 duration 41 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 62 mins.
Operation 1 on Machine 4 duration 26 mins.
Operation 2 on Machine 3 duration 67 mins.
Operation 3 on Machine 1 duration 36 mins.
Operation 4 on Machine 2 duration 26 mins.
Operation 5 on Machine 5 duration 48 mins.
| null |
Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 30 mins.
Job 7 Operation 0 duration 32 mins.
Job 8 Operation 0 duration 21 mins.
Job 9 Operation 0 duration 62 mins.
Job 2 Operation 1 duration 14 mins.
Job 4 Operation 2 duration 70 mins.
Job 5 Operation 2 duration 86 mins.
Job 6 Operation 3 duration 79 mins.
Job 3 Operation 4 duration 23 mins.
Job 1 Operation 5 duration 18 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 1 duration 92 mins.
Job 0 Operation 2 duration 59 mins.
Job 1 Operation 2 duration 74 mins.
Job 2 Operation 3 duration 47 mins.
Job 3 Operation 3 duration 60 mins.
Job 9 Operation 3 duration 36 mins.
Job 4 Operation 5 duration 31 mins.
Job 5 Operation 5 duration 78 mins.
Job 6 Operation 5 duration 19 mins.
Job 8 Operation 5 duration 41 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 41 mins.
Job 4 Operation 0 duration 92 mins.
Job 5 Operation 0 duration 43 mins.
Job 0 Operation 3 duration 75 mins.
Job 1 Operation 3 duration 47 mins.
Job 2 Operation 4 duration 4 mins.
Job 6 Operation 4 duration 48 mins.
Job 8 Operation 4 duration 39 mins.
Job 9 Operation 4 duration 26 mins.
Job 7 Operation 5 duration 51 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 49 mins.
Job 4 Operation 1 duration 68 mins.
Job 3 Operation 2 duration 67 mins.
Job 9 Operation 2 duration 67 mins.
Job 7 Operation 3 duration 90 mins.
Job 8 Operation 3 duration 84 mins.
Job 0 Operation 4 duration 15 mins.
Job 1 Operation 4 duration 81 mins.
Job 5 Operation 4 duration 13 mins.
Job 2 Operation 5 duration 14 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 77 mins.
Job 0 Operation 1 duration 16 mins.
Job 3 Operation 1 duration 41 mins.
Job 5 Operation 1 duration 6 mins.
Job 6 Operation 1 duration 80 mins.
Job 8 Operation 1 duration 16 mins.
Job 9 Operation 1 duration 26 mins.
Job 2 Operation 2 duration 50 mins.
Job 4 Operation 3 duration 93 mins.
Job 7 Operation 4 duration 75 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 54 mins.
Job 1 Operation 1 duration 74 mins.
Job 6 Operation 2 duration 87 mins.
Job 7 Operation 2 duration 52 mins.
Job 8 Operation 2 duration 31 mins.
Job 5 Operation 3 duration 8 mins.
Job 4 Operation 4 duration 47 mins.
Job 0 Operation 5 duration 50 mins.
Job 3 Operation 5 duration 42 mins.
Job 9 Operation 5 duration 48 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 21 -> 21
Job 4 Operation 0 on Machine 2 : 0 + 92 -> 92
Job 6 Operation 0 on Machine 3 : 0 + 49 -> 49
Job 7 Operation 0 on Machine 0 : 21 + 32 -> 53
Job 8 Operation 1 on Machine 4 : 21 + 16 -> 37
Job 1 Operation 0 on Machine 4 : 37 + 77 -> 114
Job 8 Operation 2 on Machine 5 : 37 + 31 -> 68
Job 0 Operation 0 on Machine 0 : 53 + 30 -> 83
Job 7 Operation 1 on Machine 1 : 53 + 92 -> 145
Job 8 Operation 3 on Machine 3 : 68 + 84 -> 152
Job 2 Operation 0 on Machine 5 : 68 + 54 -> 122
Job 9 Operation 0 on Machine 0 : 83 + 62 -> 145
Job 5 Operation 0 on Machine 2 : 92 + 43 -> 135
Job 0 Operation 1 on Machine 4 : 114 + 16 -> 130
Job 1 Operation 1 on Machine 5 : 122 + 74 -> 196
Job 3 Operation 0 on Machine 2 : 135 + 41 -> 176
Job 5 Operation 1 on Machine 4 : 135 + 6 -> 141
Job 2 Operation 1 on Machine 0 : 145 + 14 -> 159
Job 0 Operation 2 on Machine 1 : 145 + 59 -> 204
Job 9 Operation 1 on Machine 4 : 145 + 26 -> 171
Job 4 Operation 1 on Machine 3 : 152 + 68 -> 220
Job 5 Operation 2 on Machine 0 : 159 + 86 -> 245
Job 6 Operation 1 on Machine 4 : 171 + 80 -> 251
Job 8 Operation 4 on Machine 2 : 176 + 39 -> 215
Job 7 Operation 2 on Machine 5 : 196 + 52 -> 248
Job 1 Operation 2 on Machine 1 : 204 + 74 -> 278
Job 9 Operation 2 on Machine 3 : 220 + 67 -> 287
Job 4 Operation 2 on Machine 0 : 245 + 70 -> 315
Job 5 Operation 3 on Machine 5 : 248 + 8 -> 256
Job 3 Operation 1 on Machine 4 : 251 + 41 -> 292
Job 6 Operation 2 on Machine 5 : 256 + 87 -> 343
Job 8 Operation 5 on Machine 1 : 278 + 41 -> 319
Job 1 Operation 3 on Machine 2 : 278 + 47 -> 325
Job 5 Operation 4 on Machine 3 : 287 + 13 -> 300
Job 2 Operation 2 on Machine 4 : 292 + 50 -> 342
Job 3 Operation 2 on Machine 3 : 300 + 67 -> 367
Job 9 Operation 3 on Machine 1 : 319 + 36 -> 355
Job 4 Operation 3 on Machine 4 : 342 + 93 -> 435
Job 6 Operation 3 on Machine 0 : 343 + 79 -> 422
Job 2 Operation 3 on Machine 1 : 355 + 47 -> 402
Job 9 Operation 4 on Machine 2 : 355 + 26 -> 381
Job 7 Operation 3 on Machine 3 : 367 + 90 -> 457
Job 0 Operation 3 on Machine 2 : 381 + 75 -> 456
Job 9 Operation 5 on Machine 5 : 381 + 48 -> 429
Job 3 Operation 3 on Machine 1 : 402 + 60 -> 462
Job 4 Operation 4 on Machine 5 : 435 + 47 -> 482
Job 2 Operation 4 on Machine 2 : 456 + 4 -> 460
Job 0 Operation 4 on Machine 3 : 457 + 15 -> 472
Job 7 Operation 4 on Machine 4 : 457 + 75 -> 532
Job 6 Operation 4 on Machine 2 : 460 + 48 -> 508
Job 3 Operation 4 on Machine 0 : 462 + 23 -> 485
Job 5 Operation 5 on Machine 1 : 462 + 78 -> 540
Job 1 Operation 4 on Machine 3 : 472 + 81 -> 553
Job 0 Operation 5 on Machine 5 : 482 + 50 -> 532
Job 7 Operation 5 on Machine 2 : 532 + 51 -> 583
Job 3 Operation 5 on Machine 5 : 532 + 42 -> 574
Job 6 Operation 5 on Machine 1 : 540 + 19 -> 559
Job 1 Operation 5 on Machine 0 : 553 + 18 -> 571
Job 2 Operation 5 on Machine 3 : 553 + 14 -> 567
Job 4 Operation 5 on Machine 1 : 559 + 31 -> 590
Makespan: 590.0, as it is the maximum end completion time of Operation 5
| null |
|
5 | 3 |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 28 mins.
Operation 1 on Machine 1 duration 139 mins.
Operation 2 on Machine 0 duration 191 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 195 mins.
Operation 1 on Machine 2 duration 15 mins.
Operation 2 on Machine 1 duration 205 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 308 mins.
Operation 1 on Machine 2 duration 296 mins.
Operation 2 on Machine 1 duration 123 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 289 mins.
Operation 1 on Machine 0 duration 251 mins.
Operation 2 on Machine 2 duration 43 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 296 mins.
Operation 1 on Machine 1 duration 271 mins.
Operation 2 on Machine 0 duration 297 mins.
| null |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 195 mins.
Job 2 Operation 0 duration 308 mins.
Job 3 Operation 1 duration 251 mins.
Job 0 Operation 2 duration 191 mins.
Job 4 Operation 2 duration 297 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 289 mins.
Job 0 Operation 1 duration 139 mins.
Job 4 Operation 1 duration 271 mins.
Job 1 Operation 2 duration 205 mins.
Job 2 Operation 2 duration 123 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 28 mins.
Job 4 Operation 0 duration 296 mins.
Job 1 Operation 1 duration 15 mins.
Job 2 Operation 1 duration 296 mins.
Job 3 Operation 2 duration 43 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 195 -> 195
Job 3 Operation 0 on Machine 1 : 0 + 289 -> 289
Job 0 Operation 0 on Machine 2 : 0 + 28 -> 28
Job 4 Operation 0 on Machine 2 : 28 + 296 -> 324
Job 2 Operation 0 on Machine 0 : 195 + 308 -> 503
Job 0 Operation 1 on Machine 1 : 289 + 139 -> 428
Job 1 Operation 1 on Machine 2 : 324 + 15 -> 339
Job 1 Operation 2 on Machine 1 : 428 + 205 -> 633
Job 0 Operation 2 on Machine 0 : 503 + 191 -> 694
Job 2 Operation 1 on Machine 2 : 503 + 296 -> 799
Job 4 Operation 1 on Machine 1 : 633 + 271 -> 904
Job 3 Operation 1 on Machine 0 : 694 + 251 -> 945
Job 2 Operation 2 on Machine 1 : 904 + 123 -> 1027
Job 4 Operation 2 on Machine 0 : 945 + 297 -> 1242
Job 3 Operation 2 on Machine 2 : 945 + 43 -> 988
Makespan: 1242.0, as it is the maximum end completion time of Operation 2
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 59 mins.
Operation 1 on Machine 6 duration 44 mins.
Operation 2 on Machine 3 duration 33 mins.
Operation 3 on Machine 4 duration 47 mins.
Operation 4 on Machine 5 duration 26 mins.
Operation 5 on Machine 7 duration 55 mins.
Operation 6 on Machine 1 duration 61 mins.
Operation 7 on Machine 10 duration 13 mins.
Operation 8 on Machine 9 duration 9 mins.
Operation 9 on Machine 8 duration 25 mins.
Operation 10 on Machine 11 duration 39 mins.
Operation 11 on Machine 0 duration 37 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 23 mins.
Operation 1 on Machine 4 duration 40 mins.
Operation 2 on Machine 7 duration 6 mins.
Operation 3 on Machine 2 duration 54 mins.
Operation 4 on Machine 0 duration 61 mins.
Operation 5 on Machine 1 duration 51 mins.
Operation 6 on Machine 3 duration 52 mins.
Operation 7 on Machine 8 duration 20 mins.
Operation 8 on Machine 10 duration 9 mins.
Operation 9 on Machine 5 duration 45 mins.
Operation 10 on Machine 11 duration 17 mins.
Operation 11 on Machine 9 duration 61 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 10 duration 10 mins.
Operation 1 on Machine 1 duration 17 mins.
Operation 2 on Machine 5 duration 18 mins.
Operation 3 on Machine 2 duration 58 mins.
Operation 4 on Machine 7 duration 20 mins.
Operation 5 on Machine 11 duration 61 mins.
Operation 6 on Machine 4 duration 43 mins.
Operation 7 on Machine 0 duration 32 mins.
Operation 8 on Machine 6 duration 5 mins.
Operation 9 on Machine 3 duration 50 mins.
Operation 10 on Machine 8 duration 53 mins.
Operation 11 on Machine 9 duration 61 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 28 mins.
Operation 1 on Machine 3 duration 27 mins.
Operation 2 on Machine 11 duration 61 mins.
Operation 3 on Machine 7 duration 57 mins.
Operation 4 on Machine 6 duration 30 mins.
Operation 5 on Machine 8 duration 46 mins.
Operation 6 on Machine 9 duration 48 mins.
Operation 7 on Machine 4 duration 20 mins.
Operation 8 on Machine 1 duration 8 mins.
Operation 9 on Machine 5 duration 33 mins.
Operation 10 on Machine 10 duration 51 mins.
Operation 11 on Machine 0 duration 11 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 27 mins.
Operation 1 on Machine 6 duration 4 mins.
Operation 2 on Machine 9 duration 32 mins.
Operation 3 on Machine 7 duration 13 mins.
Operation 4 on Machine 8 duration 6 mins.
Operation 5 on Machine 10 duration 23 mins.
Operation 6 on Machine 3 duration 20 mins.
Operation 7 on Machine 2 duration 21 mins.
Operation 8 on Machine 4 duration 61 mins.
Operation 9 on Machine 11 duration 34 mins.
Operation 10 on Machine 5 duration 50 mins.
Operation 11 on Machine 0 duration 34 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 11 duration 56 mins.
Operation 1 on Machine 6 duration 20 mins.
Operation 2 on Machine 2 duration 16 mins.
Operation 3 on Machine 8 duration 39 mins.
Operation 4 on Machine 5 duration 10 mins.
Operation 5 on Machine 1 duration 25 mins.
Operation 6 on Machine 0 duration 59 mins.
Operation 7 on Machine 3 duration 37 mins.
Operation 8 on Machine 10 duration 14 mins.
Operation 9 on Machine 4 duration 54 mins.
Operation 10 on Machine 7 duration 39 mins.
Operation 11 on Machine 9 duration 38 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 19 mins.
Operation 1 on Machine 10 duration 16 mins.
Operation 2 on Machine 0 duration 13 mins.
Operation 3 on Machine 5 duration 57 mins.
Operation 4 on Machine 8 duration 24 mins.
Operation 5 on Machine 6 duration 54 mins.
Operation 6 on Machine 9 duration 33 mins.
Operation 7 on Machine 3 duration 59 mins.
Operation 8 on Machine 1 duration 37 mins.
Operation 9 on Machine 2 duration 36 mins.
Operation 10 on Machine 4 duration 4 mins.
Operation 11 on Machine 11 duration 3 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 52 mins.
Operation 1 on Machine 11 duration 34 mins.
Operation 2 on Machine 0 duration 1 mins.
Operation 3 on Machine 9 duration 26 mins.
Operation 4 on Machine 7 duration 36 mins.
Operation 5 on Machine 1 duration 31 mins.
Operation 6 on Machine 3 duration 9 mins.
Operation 7 on Machine 4 duration 6 mins.
Operation 8 on Machine 2 duration 13 mins.
Operation 9 on Machine 5 duration 15 mins.
Operation 10 on Machine 10 duration 41 mins.
Operation 11 on Machine 8 duration 60 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 6 duration 52 mins.
Operation 1 on Machine 10 duration 56 mins.
Operation 2 on Machine 3 duration 30 mins.
Operation 3 on Machine 0 duration 23 mins.
Operation 4 on Machine 1 duration 56 mins.
Operation 5 on Machine 9 duration 43 mins.
Operation 6 on Machine 8 duration 8 mins.
Operation 7 on Machine 11 duration 59 mins.
Operation 8 on Machine 7 duration 16 mins.
Operation 9 on Machine 5 duration 43 mins.
Operation 10 on Machine 2 duration 45 mins.
Operation 11 on Machine 4 duration 27 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 9 duration 18 mins.
Operation 1 on Machine 4 duration 50 mins.
Operation 2 on Machine 6 duration 27 mins.
Operation 3 on Machine 5 duration 11 mins.
Operation 4 on Machine 0 duration 3 mins.
Operation 5 on Machine 1 duration 17 mins.
Operation 6 on Machine 7 duration 21 mins.
Operation 7 on Machine 3 duration 26 mins.
Operation 8 on Machine 10 duration 28 mins.
Operation 9 on Machine 11 duration 59 mins.
Operation 10 on Machine 8 duration 17 mins.
Operation 11 on Machine 2 duration 35 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 7 duration 12 mins.
Operation 1 on Machine 0 duration 58 mins.
Operation 2 on Machine 4 duration 22 mins.
Operation 3 on Machine 11 duration 53 mins.
Operation 4 on Machine 3 duration 18 mins.
Operation 5 on Machine 1 duration 53 mins.
Operation 6 on Machine 9 duration 59 mins.
Operation 7 on Machine 8 duration 39 mins.
Operation 8 on Machine 10 duration 43 mins.
Operation 9 on Machine 6 duration 55 mins.
Operation 10 on Machine 5 duration 32 mins.
Operation 11 on Machine 2 duration 12 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 6 duration 25 mins.
Operation 1 on Machine 3 duration 59 mins.
Operation 2 on Machine 9 duration 31 mins.
Operation 3 on Machine 0 duration 44 mins.
Operation 4 on Machine 8 duration 13 mins.
Operation 5 on Machine 2 duration 49 mins.
Operation 6 on Machine 5 duration 21 mins.
Operation 7 on Machine 11 duration 1 mins.
Operation 8 on Machine 4 duration 21 mins.
Operation 9 on Machine 1 duration 48 mins.
Operation 10 on Machine 7 duration 12 mins.
Operation 11 on Machine 10 duration 43 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 10 Operation 1 duration 58 mins.
Job 6 Operation 2 duration 13 mins.
Job 7 Operation 2 duration 1 mins.
Job 8 Operation 3 duration 23 mins.
Job 11 Operation 3 duration 44 mins.
Job 1 Operation 4 duration 61 mins.
Job 9 Operation 4 duration 3 mins.
Job 5 Operation 6 duration 59 mins.
Job 2 Operation 7 duration 32 mins.
Job 0 Operation 11 duration 37 mins.
Job 3 Operation 11 duration 11 mins.
Job 4 Operation 11 duration 34 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 27 mins.
Job 2 Operation 1 duration 17 mins.
Job 8 Operation 4 duration 56 mins.
Job 1 Operation 5 duration 51 mins.
Job 5 Operation 5 duration 25 mins.
Job 7 Operation 5 duration 31 mins.
Job 9 Operation 5 duration 17 mins.
Job 10 Operation 5 duration 53 mins.
Job 0 Operation 6 duration 61 mins.
Job 3 Operation 8 duration 8 mins.
Job 6 Operation 8 duration 37 mins.
Job 11 Operation 9 duration 48 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 59 mins.
Job 3 Operation 0 duration 28 mins.
Job 5 Operation 2 duration 16 mins.
Job 1 Operation 3 duration 54 mins.
Job 2 Operation 3 duration 58 mins.
Job 11 Operation 5 duration 49 mins.
Job 4 Operation 7 duration 21 mins.
Job 7 Operation 8 duration 13 mins.
Job 6 Operation 9 duration 36 mins.
Job 8 Operation 10 duration 45 mins.
Job 9 Operation 11 duration 35 mins.
Job 10 Operation 11 duration 12 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 1 duration 27 mins.
Job 11 Operation 1 duration 59 mins.
Job 0 Operation 2 duration 33 mins.
Job 8 Operation 2 duration 30 mins.
Job 10 Operation 4 duration 18 mins.
Job 1 Operation 6 duration 52 mins.
Job 4 Operation 6 duration 20 mins.
Job 7 Operation 6 duration 9 mins.
Job 5 Operation 7 duration 37 mins.
Job 6 Operation 7 duration 59 mins.
Job 9 Operation 7 duration 26 mins.
Job 2 Operation 9 duration 50 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 1 duration 40 mins.
Job 9 Operation 1 duration 50 mins.
Job 10 Operation 2 duration 22 mins.
Job 0 Operation 3 duration 47 mins.
Job 2 Operation 6 duration 43 mins.
Job 3 Operation 7 duration 20 mins.
Job 7 Operation 7 duration 6 mins.
Job 4 Operation 8 duration 61 mins.
Job 11 Operation 8 duration 21 mins.
Job 5 Operation 9 duration 54 mins.
Job 6 Operation 10 duration 4 mins.
Job 8 Operation 11 duration 27 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 2 duration 18 mins.
Job 6 Operation 3 duration 57 mins.
Job 9 Operation 3 duration 11 mins.
Job 0 Operation 4 duration 26 mins.
Job 5 Operation 4 duration 10 mins.
Job 11 Operation 6 duration 21 mins.
Job 1 Operation 9 duration 45 mins.
Job 3 Operation 9 duration 33 mins.
Job 7 Operation 9 duration 15 mins.
Job 8 Operation 9 duration 43 mins.
Job 4 Operation 10 duration 50 mins.
Job 10 Operation 10 duration 32 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 23 mins.
Job 7 Operation 0 duration 52 mins.
Job 8 Operation 0 duration 52 mins.
Job 11 Operation 0 duration 25 mins.
Job 0 Operation 1 duration 44 mins.
Job 4 Operation 1 duration 4 mins.
Job 5 Operation 1 duration 20 mins.
Job 9 Operation 2 duration 27 mins.
Job 3 Operation 4 duration 30 mins.
Job 6 Operation 5 duration 54 mins.
Job 2 Operation 8 duration 5 mins.
Job 10 Operation 9 duration 55 mins.
Machine 7 is used for the following Operations:
Job 6 Operation 0 duration 19 mins.
Job 10 Operation 0 duration 12 mins.
Job 1 Operation 2 duration 6 mins.
Job 3 Operation 3 duration 57 mins.
Job 4 Operation 3 duration 13 mins.
Job 2 Operation 4 duration 20 mins.
Job 7 Operation 4 duration 36 mins.
Job 0 Operation 5 duration 55 mins.
Job 9 Operation 6 duration 21 mins.
Job 8 Operation 8 duration 16 mins.
Job 5 Operation 10 duration 39 mins.
Job 11 Operation 10 duration 12 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 3 duration 39 mins.
Job 4 Operation 4 duration 6 mins.
Job 6 Operation 4 duration 24 mins.
Job 11 Operation 4 duration 13 mins.
Job 3 Operation 5 duration 46 mins.
Job 8 Operation 6 duration 8 mins.
Job 1 Operation 7 duration 20 mins.
Job 10 Operation 7 duration 39 mins.
Job 0 Operation 9 duration 25 mins.
Job 2 Operation 10 duration 53 mins.
Job 9 Operation 10 duration 17 mins.
Job 7 Operation 11 duration 60 mins.
Machine 9 is used for the following Operations:
Job 9 Operation 0 duration 18 mins.
Job 4 Operation 2 duration 32 mins.
Job 11 Operation 2 duration 31 mins.
Job 7 Operation 3 duration 26 mins.
Job 8 Operation 5 duration 43 mins.
Job 3 Operation 6 duration 48 mins.
Job 6 Operation 6 duration 33 mins.
Job 10 Operation 6 duration 59 mins.
Job 0 Operation 8 duration 9 mins.
Job 1 Operation 11 duration 61 mins.
Job 2 Operation 11 duration 61 mins.
Job 5 Operation 11 duration 38 mins.
Machine 10 is used for the following Operations:
Job 2 Operation 0 duration 10 mins.
Job 6 Operation 1 duration 16 mins.
Job 8 Operation 1 duration 56 mins.
Job 4 Operation 5 duration 23 mins.
Job 0 Operation 7 duration 13 mins.
Job 1 Operation 8 duration 9 mins.
Job 5 Operation 8 duration 14 mins.
Job 9 Operation 8 duration 28 mins.
Job 10 Operation 8 duration 43 mins.
Job 3 Operation 10 duration 51 mins.
Job 7 Operation 10 duration 41 mins.
Job 11 Operation 11 duration 43 mins.
Machine 11 is used for the following Operations:
Job 5 Operation 0 duration 56 mins.
Job 7 Operation 1 duration 34 mins.
Job 3 Operation 2 duration 61 mins.
Job 10 Operation 3 duration 53 mins.
Job 2 Operation 5 duration 61 mins.
Job 8 Operation 7 duration 59 mins.
Job 11 Operation 7 duration 1 mins.
Job 4 Operation 9 duration 34 mins.
Job 9 Operation 9 duration 59 mins.
Job 0 Operation 10 duration 39 mins.
Job 1 Operation 10 duration 17 mins.
Job 6 Operation 11 duration 3 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 2 : 0 + 28 -> 28
Job 8 Operation 0 on Machine 6 : 0 + 52 -> 52
Job 10 Operation 0 on Machine 7 : 0 + 12 -> 12
Job 9 Operation 0 on Machine 9 : 0 + 18 -> 18
Job 2 Operation 0 on Machine 10 : 0 + 10 -> 10
Job 5 Operation 0 on Machine 11 : 0 + 56 -> 56
Job 2 Operation 1 on Machine 1 : 10 + 17 -> 27
Job 10 Operation 1 on Machine 0 : 12 + 58 -> 70
Job 6 Operation 0 on Machine 7 : 12 + 19 -> 31
Job 9 Operation 1 on Machine 4 : 18 + 50 -> 68
Job 4 Operation 0 on Machine 1 : 27 + 27 -> 54
Job 2 Operation 2 on Machine 5 : 27 + 18 -> 45
Job 0 Operation 0 on Machine 2 : 28 + 59 -> 87
Job 3 Operation 1 on Machine 3 : 28 + 27 -> 55
Job 6 Operation 1 on Machine 10 : 31 + 16 -> 47
Job 8 Operation 1 on Machine 10 : 52 + 56 -> 108
Job 4 Operation 1 on Machine 6 : 54 + 4 -> 58
Job 3 Operation 2 on Machine 11 : 56 + 61 -> 117
Job 1 Operation 0 on Machine 6 : 58 + 23 -> 81
Job 4 Operation 2 on Machine 9 : 58 + 32 -> 90
Job 6 Operation 2 on Machine 0 : 70 + 13 -> 83
Job 10 Operation 2 on Machine 4 : 70 + 22 -> 92
Job 9 Operation 2 on Machine 6 : 81 + 27 -> 108
Job 2 Operation 3 on Machine 2 : 87 + 58 -> 145
Job 4 Operation 3 on Machine 7 : 90 + 13 -> 103
Job 1 Operation 1 on Machine 4 : 92 + 40 -> 132
Job 4 Operation 4 on Machine 8 : 103 + 6 -> 109
Job 8 Operation 2 on Machine 3 : 108 + 30 -> 138
Job 9 Operation 3 on Machine 5 : 108 + 11 -> 119
Job 0 Operation 1 on Machine 6 : 108 + 44 -> 152
Job 4 Operation 5 on Machine 10 : 109 + 23 -> 132
Job 10 Operation 3 on Machine 11 : 117 + 53 -> 170
Job 9 Operation 4 on Machine 0 : 119 + 3 -> 122
Job 6 Operation 3 on Machine 5 : 119 + 57 -> 176
Job 9 Operation 5 on Machine 1 : 122 + 17 -> 139
Job 1 Operation 2 on Machine 7 : 132 + 6 -> 138
Job 8 Operation 3 on Machine 0 : 138 + 23 -> 161
Job 1 Operation 3 on Machine 2 : 145 + 54 -> 199
Job 2 Operation 4 on Machine 7 : 145 + 20 -> 165
Job 0 Operation 2 on Machine 3 : 152 + 33 -> 185
Job 5 Operation 1 on Machine 6 : 152 + 20 -> 172
Job 8 Operation 4 on Machine 1 : 161 + 56 -> 217
Job 3 Operation 3 on Machine 7 : 165 + 57 -> 222
Job 2 Operation 5 on Machine 11 : 170 + 61 -> 231
Job 11 Operation 0 on Machine 6 : 172 + 25 -> 197
Job 6 Operation 4 on Machine 8 : 176 + 24 -> 200
Job 10 Operation 4 on Machine 3 : 185 + 18 -> 203
Job 0 Operation 3 on Machine 4 : 185 + 47 -> 232
Job 7 Operation 0 on Machine 6 : 197 + 52 -> 249
Job 1 Operation 4 on Machine 0 : 199 + 61 -> 260
Job 5 Operation 2 on Machine 2 : 199 + 16 -> 215
Job 11 Operation 1 on Machine 3 : 203 + 59 -> 262
Job 5 Operation 3 on Machine 8 : 215 + 39 -> 254
Job 10 Operation 5 on Machine 1 : 217 + 53 -> 270
Job 8 Operation 5 on Machine 9 : 217 + 43 -> 260
Job 9 Operation 6 on Machine 7 : 222 + 21 -> 243
Job 2 Operation 6 on Machine 4 : 232 + 43 -> 275
Job 0 Operation 4 on Machine 5 : 232 + 26 -> 258
Job 3 Operation 4 on Machine 6 : 249 + 30 -> 279
Job 7 Operation 1 on Machine 11 : 249 + 34 -> 283
Job 5 Operation 4 on Machine 5 : 258 + 10 -> 268
Job 0 Operation 5 on Machine 7 : 258 + 55 -> 313
Job 8 Operation 6 on Machine 8 : 260 + 8 -> 268
Job 9 Operation 7 on Machine 3 : 262 + 26 -> 288
Job 11 Operation 2 on Machine 9 : 262 + 31 -> 293
Job 1 Operation 5 on Machine 1 : 270 + 51 -> 321
Job 6 Operation 5 on Machine 6 : 279 + 54 -> 333
Job 3 Operation 5 on Machine 8 : 279 + 46 -> 325
Job 7 Operation 2 on Machine 0 : 283 + 1 -> 284
Job 8 Operation 7 on Machine 11 : 283 + 59 -> 342
Job 4 Operation 6 on Machine 3 : 288 + 20 -> 308
Job 9 Operation 8 on Machine 10 : 288 + 28 -> 316
Job 11 Operation 3 on Machine 0 : 293 + 44 -> 337
Job 7 Operation 3 on Machine 9 : 293 + 26 -> 319
Job 4 Operation 7 on Machine 2 : 308 + 21 -> 329
Job 10 Operation 6 on Machine 9 : 319 + 59 -> 378
Job 5 Operation 5 on Machine 1 : 321 + 25 -> 346
Job 1 Operation 6 on Machine 3 : 321 + 52 -> 373
Job 4 Operation 8 on Machine 4 : 329 + 61 -> 390
Job 2 Operation 7 on Machine 0 : 337 + 32 -> 369
Job 11 Operation 4 on Machine 8 : 337 + 13 -> 350
Job 8 Operation 8 on Machine 7 : 342 + 16 -> 358
Job 9 Operation 9 on Machine 11 : 342 + 59 -> 401
Job 0 Operation 6 on Machine 1 : 346 + 61 -> 407
Job 11 Operation 5 on Machine 2 : 350 + 49 -> 399
Job 8 Operation 9 on Machine 5 : 358 + 43 -> 401
Job 7 Operation 4 on Machine 7 : 358 + 36 -> 394
Job 5 Operation 6 on Machine 0 : 369 + 59 -> 428
Job 2 Operation 8 on Machine 6 : 369 + 5 -> 374
Job 1 Operation 7 on Machine 8 : 373 + 20 -> 393
Job 2 Operation 9 on Machine 3 : 374 + 50 -> 424
Job 3 Operation 6 on Machine 9 : 378 + 48 -> 426
Job 10 Operation 7 on Machine 8 : 393 + 39 -> 432
Job 1 Operation 8 on Machine 10 : 393 + 9 -> 402
Job 1 Operation 9 on Machine 5 : 402 + 45 -> 447
Job 7 Operation 5 on Machine 1 : 407 + 31 -> 438
Job 0 Operation 7 on Machine 10 : 407 + 13 -> 420
Job 3 Operation 7 on Machine 4 : 426 + 20 -> 446
Job 6 Operation 6 on Machine 9 : 426 + 33 -> 459
Job 2 Operation 10 on Machine 8 : 432 + 53 -> 485
Job 10 Operation 8 on Machine 10 : 432 + 43 -> 475
Job 7 Operation 6 on Machine 3 : 438 + 9 -> 447
Job 3 Operation 8 on Machine 1 : 446 + 8 -> 454
Job 5 Operation 7 on Machine 3 : 447 + 37 -> 484
Job 7 Operation 7 on Machine 4 : 447 + 6 -> 453
Job 11 Operation 6 on Machine 5 : 447 + 21 -> 468
Job 1 Operation 10 on Machine 11 : 447 + 17 -> 464
Job 7 Operation 8 on Machine 2 : 453 + 13 -> 466
Job 0 Operation 8 on Machine 9 : 459 + 9 -> 468
Job 8 Operation 10 on Machine 2 : 466 + 45 -> 511
Job 7 Operation 9 on Machine 5 : 468 + 15 -> 483
Job 1 Operation 11 on Machine 9 : 468 + 61 -> 529
Job 11 Operation 7 on Machine 11 : 468 + 1 -> 469
Job 11 Operation 8 on Machine 4 : 469 + 21 -> 490
Job 4 Operation 9 on Machine 11 : 469 + 34 -> 503
Job 10 Operation 9 on Machine 6 : 475 + 55 -> 530
Job 3 Operation 9 on Machine 5 : 483 + 33 -> 516
Job 6 Operation 7 on Machine 3 : 484 + 59 -> 543
Job 5 Operation 8 on Machine 10 : 484 + 14 -> 498
Job 0 Operation 9 on Machine 8 : 485 + 25 -> 510
Job 11 Operation 9 on Machine 1 : 490 + 48 -> 538
Job 5 Operation 9 on Machine 4 : 498 + 54 -> 552
Job 7 Operation 10 on Machine 10 : 498 + 41 -> 539
Job 9 Operation 10 on Machine 8 : 510 + 17 -> 527
Job 0 Operation 10 on Machine 11 : 510 + 39 -> 549
Job 4 Operation 10 on Machine 5 : 516 + 50 -> 566
Job 9 Operation 11 on Machine 2 : 527 + 35 -> 562
Job 2 Operation 11 on Machine 9 : 529 + 61 -> 590
Job 11 Operation 10 on Machine 7 : 538 + 12 -> 550
Job 7 Operation 11 on Machine 8 : 539 + 60 -> 599
Job 3 Operation 10 on Machine 10 : 539 + 51 -> 590
Job 6 Operation 8 on Machine 1 : 543 + 37 -> 580
Job 0 Operation 11 on Machine 0 : 549 + 37 -> 586
Job 8 Operation 11 on Machine 4 : 552 + 27 -> 579
Job 5 Operation 10 on Machine 7 : 552 + 39 -> 591
Job 10 Operation 10 on Machine 5 : 566 + 32 -> 598
Job 6 Operation 9 on Machine 2 : 580 + 36 -> 616
Job 4 Operation 11 on Machine 0 : 586 + 34 -> 620
Job 11 Operation 11 on Machine 10 : 590 + 43 -> 633
Job 5 Operation 11 on Machine 9 : 591 + 38 -> 629
Job 10 Operation 11 on Machine 2 : 616 + 12 -> 628
Job 6 Operation 10 on Machine 4 : 616 + 4 -> 620
Job 3 Operation 11 on Machine 0 : 620 + 11 -> 631
Job 6 Operation 11 on Machine 11 : 620 + 3 -> 623
Makespan: 633.0, as it is the maximum end completion time of Operation 11
| null |
|
10 | 2 |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 25 mins.
Operation 1 on Machine 1 duration 246 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 250 mins.
Operation 1 on Machine 0 duration 218 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 189 mins.
Operation 1 on Machine 0 duration 188 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 318 mins.
Operation 1 on Machine 0 duration 105 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 215 mins.
Operation 1 on Machine 0 duration 186 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 312 mins.
Operation 1 on Machine 0 duration 50 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 306 mins.
Operation 1 on Machine 1 duration 232 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 284 mins.
Operation 1 on Machine 1 duration 137 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 63 mins.
Operation 1 on Machine 1 duration 118 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 1 mins.
Operation 1 on Machine 0 duration 65 mins.
| null |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 25 mins.
Job 6 Operation 0 duration 306 mins.
Job 7 Operation 0 duration 284 mins.
Job 8 Operation 0 duration 63 mins.
Job 1 Operation 1 duration 218 mins.
Job 2 Operation 1 duration 188 mins.
Job 3 Operation 1 duration 105 mins.
Job 4 Operation 1 duration 186 mins.
Job 5 Operation 1 duration 50 mins.
Job 9 Operation 1 duration 65 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 250 mins.
Job 2 Operation 0 duration 189 mins.
Job 3 Operation 0 duration 318 mins.
Job 4 Operation 0 duration 215 mins.
Job 5 Operation 0 duration 312 mins.
Job 9 Operation 0 duration 1 mins.
Job 0 Operation 1 duration 246 mins.
Job 6 Operation 1 duration 232 mins.
Job 7 Operation 1 duration 137 mins.
Job 8 Operation 1 duration 118 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 306 -> 306
Job 9 Operation 0 on Machine 1 : 0 + 1 -> 1
Job 5 Operation 0 on Machine 1 : 1 + 312 -> 313
Job 5 Operation 1 on Machine 0 : 313 + 50 -> 363
Job 6 Operation 1 on Machine 1 : 313 + 232 -> 545
Job 0 Operation 0 on Machine 0 : 363 + 25 -> 388
Job 8 Operation 0 on Machine 0 : 388 + 63 -> 451
Job 9 Operation 1 on Machine 0 : 451 + 65 -> 516
Job 1 Operation 0 on Machine 1 : 545 + 250 -> 795
Job 1 Operation 1 on Machine 0 : 795 + 218 -> 1013
Job 8 Operation 1 on Machine 1 : 795 + 118 -> 913
Job 2 Operation 0 on Machine 1 : 913 + 189 -> 1102
Job 7 Operation 0 on Machine 0 : 1013 + 284 -> 1297
Job 4 Operation 0 on Machine 1 : 1102 + 215 -> 1317
Job 2 Operation 1 on Machine 0 : 1297 + 188 -> 1485
Job 7 Operation 1 on Machine 1 : 1317 + 137 -> 1454
Job 3 Operation 0 on Machine 1 : 1454 + 318 -> 1772
Job 4 Operation 1 on Machine 0 : 1485 + 186 -> 1671
Job 3 Operation 1 on Machine 0 : 1772 + 105 -> 1877
Job 0 Operation 1 on Machine 1 : 1772 + 246 -> 2018
Makespan: 2018.0, as it is the maximum end completion time of Operation 1
| null |
|
7 | 6 |
Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 2 mins.
Operation 1 on Machine 4 duration 67 mins.
Operation 2 on Machine 5 duration 172 mins.
Operation 3 on Machine 1 duration 8 mins.
Operation 4 on Machine 3 duration 144 mins.
Operation 5 on Machine 0 duration 61 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 3 mins.
Operation 1 on Machine 1 duration 68 mins.
Operation 2 on Machine 2 duration 59 mins.
Operation 3 on Machine 4 duration 174 mins.
Operation 4 on Machine 5 duration 44 mins.
Operation 5 on Machine 0 duration 126 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 15 mins.
Operation 1 on Machine 0 duration 196 mins.
Operation 2 on Machine 2 duration 194 mins.
Operation 3 on Machine 3 duration 9 mins.
Operation 4 on Machine 5 duration 143 mins.
Operation 5 on Machine 4 duration 203 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 159 mins.
Operation 1 on Machine 1 duration 148 mins.
Operation 2 on Machine 4 duration 180 mins.
Operation 3 on Machine 0 duration 152 mins.
Operation 4 on Machine 3 duration 155 mins.
Operation 5 on Machine 2 duration 137 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 14 mins.
Operation 1 on Machine 2 duration 89 mins.
Operation 2 on Machine 0 duration 135 mins.
Operation 3 on Machine 4 duration 60 mins.
Operation 4 on Machine 5 duration 11 mins.
Operation 5 on Machine 1 duration 200 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 89 mins.
Operation 1 on Machine 3 duration 22 mins.
Operation 2 on Machine 0 duration 28 mins.
Operation 3 on Machine 4 duration 160 mins.
Operation 4 on Machine 5 duration 181 mins.
Operation 5 on Machine 1 duration 12 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 141 mins.
Operation 1 on Machine 2 duration 32 mins.
Operation 2 on Machine 4 duration 200 mins.
Operation 3 on Machine 0 duration 33 mins.
Operation 4 on Machine 1 duration 61 mins.
Operation 5 on Machine 3 duration 165 mins.
| null |
Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 1 duration 196 mins.
Job 4 Operation 2 duration 135 mins.
Job 5 Operation 2 duration 28 mins.
Job 3 Operation 3 duration 152 mins.
Job 6 Operation 3 duration 33 mins.
Job 0 Operation 5 duration 61 mins.
Job 1 Operation 5 duration 126 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 15 mins.
Job 1 Operation 1 duration 68 mins.
Job 3 Operation 1 duration 148 mins.
Job 0 Operation 3 duration 8 mins.
Job 6 Operation 4 duration 61 mins.
Job 4 Operation 5 duration 200 mins.
Job 5 Operation 5 duration 12 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 2 mins.
Job 5 Operation 0 duration 89 mins.
Job 4 Operation 1 duration 89 mins.
Job 6 Operation 1 duration 32 mins.
Job 1 Operation 2 duration 59 mins.
Job 2 Operation 2 duration 194 mins.
Job 3 Operation 5 duration 137 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 3 mins.
Job 4 Operation 0 duration 14 mins.
Job 5 Operation 1 duration 22 mins.
Job 2 Operation 3 duration 9 mins.
Job 0 Operation 4 duration 144 mins.
Job 3 Operation 4 duration 155 mins.
Job 6 Operation 5 duration 165 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 67 mins.
Job 3 Operation 2 duration 180 mins.
Job 6 Operation 2 duration 200 mins.
Job 1 Operation 3 duration 174 mins.
Job 4 Operation 3 duration 60 mins.
Job 5 Operation 3 duration 160 mins.
Job 2 Operation 5 duration 203 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 159 mins.
Job 6 Operation 0 duration 141 mins.
Job 0 Operation 2 duration 172 mins.
Job 1 Operation 4 duration 44 mins.
Job 2 Operation 4 duration 143 mins.
Job 4 Operation 4 duration 11 mins.
Job 5 Operation 4 duration 181 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 2 : 0 + 2 -> 2
Job 1 Operation 0 on Machine 3 : 0 + 3 -> 3
Job 3 Operation 0 on Machine 5 : 0 + 159 -> 159
Job 0 Operation 1 on Machine 4 : 2 + 67 -> 69
Job 1 Operation 1 on Machine 1 : 3 + 68 -> 71
Job 4 Operation 0 on Machine 3 : 3 + 14 -> 17
Job 2 Operation 0 on Machine 1 : 71 + 15 -> 86
Job 1 Operation 2 on Machine 2 : 71 + 59 -> 130
Job 2 Operation 1 on Machine 0 : 86 + 196 -> 282
Job 4 Operation 1 on Machine 2 : 130 + 89 -> 219
Job 1 Operation 3 on Machine 4 : 130 + 174 -> 304
Job 3 Operation 1 on Machine 1 : 159 + 148 -> 307
Job 6 Operation 0 on Machine 5 : 159 + 141 -> 300
Job 4 Operation 2 on Machine 0 : 282 + 135 -> 417
Job 6 Operation 1 on Machine 2 : 300 + 32 -> 332
Job 0 Operation 2 on Machine 5 : 300 + 172 -> 472
Job 3 Operation 2 on Machine 4 : 307 + 180 -> 487
Job 5 Operation 0 on Machine 2 : 332 + 89 -> 421
Job 2 Operation 2 on Machine 2 : 421 + 194 -> 615
Job 5 Operation 1 on Machine 3 : 421 + 22 -> 443
Job 5 Operation 2 on Machine 0 : 443 + 28 -> 471
Job 0 Operation 3 on Machine 1 : 472 + 8 -> 480
Job 1 Operation 4 on Machine 5 : 472 + 44 -> 516
Job 0 Operation 4 on Machine 3 : 480 + 144 -> 624
Job 3 Operation 3 on Machine 0 : 487 + 152 -> 639
Job 6 Operation 2 on Machine 4 : 487 + 200 -> 687
Job 2 Operation 3 on Machine 3 : 624 + 9 -> 633
Job 3 Operation 4 on Machine 3 : 639 + 155 -> 794
Job 6 Operation 3 on Machine 0 : 687 + 33 -> 720
Job 4 Operation 3 on Machine 4 : 687 + 60 -> 747
Job 0 Operation 5 on Machine 0 : 720 + 61 -> 781
Job 6 Operation 4 on Machine 1 : 720 + 61 -> 781
Job 5 Operation 3 on Machine 4 : 747 + 160 -> 907
Job 4 Operation 4 on Machine 5 : 747 + 11 -> 758
Job 2 Operation 4 on Machine 5 : 758 + 143 -> 901
Job 1 Operation 5 on Machine 0 : 781 + 126 -> 907
Job 4 Operation 5 on Machine 1 : 781 + 200 -> 981
Job 3 Operation 5 on Machine 2 : 794 + 137 -> 931
Job 6 Operation 5 on Machine 3 : 794 + 165 -> 959
Job 2 Operation 5 on Machine 4 : 907 + 203 -> 1110
Job 5 Operation 4 on Machine 5 : 907 + 181 -> 1088
Job 5 Operation 5 on Machine 1 : 1088 + 12 -> 1100
Makespan: 1110.0, as it is the maximum end completion time of Operation 5
| null |
|
6 | 4 |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 210 mins.
Operation 1 on Machine 2 duration 172 mins.
Operation 2 on Machine 0 duration 102 mins.
Operation 3 on Machine 3 duration 161 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 137 mins.
Operation 1 on Machine 0 duration 210 mins.
Operation 2 on Machine 1 duration 79 mins.
Operation 3 on Machine 2 duration 198 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 267 mins.
Operation 1 on Machine 0 duration 87 mins.
Operation 2 on Machine 3 duration 154 mins.
Operation 3 on Machine 1 duration 185 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 283 mins.
Operation 1 on Machine 3 duration 284 mins.
Operation 2 on Machine 1 duration 7 mins.
Operation 3 on Machine 2 duration 169 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 15 mins.
Operation 1 on Machine 1 duration 6 mins.
Operation 2 on Machine 2 duration 184 mins.
Operation 3 on Machine 0 duration 230 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 118 mins.
Operation 1 on Machine 3 duration 143 mins.
Operation 2 on Machine 0 duration 275 mins.
Operation 3 on Machine 2 duration 251 mins.
| null |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 283 mins.
Job 1 Operation 1 duration 210 mins.
Job 2 Operation 1 duration 87 mins.
Job 0 Operation 2 duration 102 mins.
Job 5 Operation 2 duration 275 mins.
Job 4 Operation 3 duration 230 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 210 mins.
Job 5 Operation 0 duration 118 mins.
Job 4 Operation 1 duration 6 mins.
Job 1 Operation 2 duration 79 mins.
Job 3 Operation 2 duration 7 mins.
Job 2 Operation 3 duration 185 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 267 mins.
Job 0 Operation 1 duration 172 mins.
Job 4 Operation 2 duration 184 mins.
Job 1 Operation 3 duration 198 mins.
Job 3 Operation 3 duration 169 mins.
Job 5 Operation 3 duration 251 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 137 mins.
Job 4 Operation 0 duration 15 mins.
Job 3 Operation 1 duration 284 mins.
Job 5 Operation 1 duration 143 mins.
Job 2 Operation 2 duration 154 mins.
Job 0 Operation 3 duration 161 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 283 -> 283
Job 5 Operation 0 on Machine 1 : 0 + 118 -> 118
Job 2 Operation 0 on Machine 2 : 0 + 267 -> 267
Job 4 Operation 0 on Machine 3 : 0 + 15 -> 15
Job 1 Operation 0 on Machine 3 : 15 + 137 -> 152
Job 4 Operation 1 on Machine 1 : 118 + 6 -> 124
Job 0 Operation 0 on Machine 1 : 124 + 210 -> 334
Job 5 Operation 1 on Machine 3 : 152 + 143 -> 295
Job 4 Operation 2 on Machine 2 : 267 + 184 -> 451
Job 2 Operation 1 on Machine 0 : 283 + 87 -> 370
Job 3 Operation 1 on Machine 3 : 295 + 284 -> 579
Job 5 Operation 2 on Machine 0 : 370 + 275 -> 645
Job 0 Operation 1 on Machine 2 : 451 + 172 -> 623
Job 3 Operation 2 on Machine 1 : 579 + 7 -> 586
Job 2 Operation 2 on Machine 3 : 579 + 154 -> 733
Job 3 Operation 3 on Machine 2 : 623 + 169 -> 792
Job 0 Operation 2 on Machine 0 : 645 + 102 -> 747
Job 2 Operation 3 on Machine 1 : 733 + 185 -> 918
Job 1 Operation 1 on Machine 0 : 747 + 210 -> 957
Job 0 Operation 3 on Machine 3 : 747 + 161 -> 908
Job 5 Operation 3 on Machine 2 : 792 + 251 -> 1043
Job 4 Operation 3 on Machine 0 : 957 + 230 -> 1187
Job 1 Operation 2 on Machine 1 : 957 + 79 -> 1036
Job 1 Operation 3 on Machine 2 : 1043 + 198 -> 1241
Makespan: 1241.0, as it is the maximum end completion time of Operation 3
| null |
|
10 | 6 |
Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 10 mins.
Operation 1 on Machine 1 duration 136 mins.
Operation 2 on Machine 3 duration 92 mins.
Operation 3 on Machine 4 duration 251 mins.
Operation 4 on Machine 5 duration 83 mins.
Operation 5 on Machine 2 duration 105 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 227 mins.
Operation 1 on Machine 5 duration 37 mins.
Operation 2 on Machine 3 duration 105 mins.
Operation 3 on Machine 1 duration 303 mins.
Operation 4 on Machine 4 duration 294 mins.
Operation 5 on Machine 0 duration 238 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 23 mins.
Operation 1 on Machine 2 duration 329 mins.
Operation 2 on Machine 5 duration 106 mins.
Operation 3 on Machine 0 duration 114 mins.
Operation 4 on Machine 3 duration 149 mins.
Operation 5 on Machine 4 duration 270 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 18 mins.
Operation 1 on Machine 4 duration 164 mins.
Operation 2 on Machine 1 duration 335 mins.
Operation 3 on Machine 3 duration 203 mins.
Operation 4 on Machine 0 duration 255 mins.
Operation 5 on Machine 2 duration 348 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 350 mins.
Operation 1 on Machine 2 duration 242 mins.
Operation 2 on Machine 4 duration 45 mins.
Operation 3 on Machine 5 duration 16 mins.
Operation 4 on Machine 3 duration 124 mins.
Operation 5 on Machine 1 duration 323 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 93 mins.
Operation 1 on Machine 0 duration 91 mins.
Operation 2 on Machine 4 duration 111 mins.
Operation 3 on Machine 5 duration 74 mins.
Operation 4 on Machine 1 duration 145 mins.
Operation 5 on Machine 2 duration 175 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 20 mins.
Operation 1 on Machine 4 duration 24 mins.
Operation 2 on Machine 0 duration 309 mins.
Operation 3 on Machine 1 duration 206 mins.
Operation 4 on Machine 2 duration 128 mins.
Operation 5 on Machine 5 duration 332 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 219 mins.
Operation 1 on Machine 2 duration 270 mins.
Operation 2 on Machine 0 duration 198 mins.
Operation 3 on Machine 1 duration 200 mins.
Operation 4 on Machine 5 duration 287 mins.
Operation 5 on Machine 4 duration 274 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 313 mins.
Operation 1 on Machine 4 duration 213 mins.
Operation 2 on Machine 2 duration 242 mins.
Operation 3 on Machine 3 duration 296 mins.
Operation 4 on Machine 5 duration 108 mins.
Operation 5 on Machine 0 duration 338 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 29 mins.
Operation 1 on Machine 3 duration 315 mins.
Operation 2 on Machine 5 duration 224 mins.
Operation 3 on Machine 0 duration 155 mins.
Operation 4 on Machine 4 duration 354 mins.
Operation 5 on Machine 1 duration 239 mins.
| null |
Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 10 mins.
Job 4 Operation 0 duration 350 mins.
Job 5 Operation 1 duration 91 mins.
Job 6 Operation 2 duration 309 mins.
Job 7 Operation 2 duration 198 mins.
Job 2 Operation 3 duration 114 mins.
Job 9 Operation 3 duration 155 mins.
Job 3 Operation 4 duration 255 mins.
Job 1 Operation 5 duration 238 mins.
Job 8 Operation 5 duration 338 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 23 mins.
Job 8 Operation 0 duration 313 mins.
Job 0 Operation 1 duration 136 mins.
Job 3 Operation 2 duration 335 mins.
Job 1 Operation 3 duration 303 mins.
Job 6 Operation 3 duration 206 mins.
Job 7 Operation 3 duration 200 mins.
Job 5 Operation 4 duration 145 mins.
Job 4 Operation 5 duration 323 mins.
Job 9 Operation 5 duration 239 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 227 mins.
Job 9 Operation 0 duration 29 mins.
Job 2 Operation 1 duration 329 mins.
Job 4 Operation 1 duration 242 mins.
Job 7 Operation 1 duration 270 mins.
Job 8 Operation 2 duration 242 mins.
Job 6 Operation 4 duration 128 mins.
Job 0 Operation 5 duration 105 mins.
Job 3 Operation 5 duration 348 mins.
Job 5 Operation 5 duration 175 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 93 mins.
Job 6 Operation 0 duration 20 mins.
Job 7 Operation 0 duration 219 mins.
Job 9 Operation 1 duration 315 mins.
Job 0 Operation 2 duration 92 mins.
Job 1 Operation 2 duration 105 mins.
Job 3 Operation 3 duration 203 mins.
Job 8 Operation 3 duration 296 mins.
Job 2 Operation 4 duration 149 mins.
Job 4 Operation 4 duration 124 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 1 duration 164 mins.
Job 6 Operation 1 duration 24 mins.
Job 8 Operation 1 duration 213 mins.
Job 4 Operation 2 duration 45 mins.
Job 5 Operation 2 duration 111 mins.
Job 0 Operation 3 duration 251 mins.
Job 1 Operation 4 duration 294 mins.
Job 9 Operation 4 duration 354 mins.
Job 2 Operation 5 duration 270 mins.
Job 7 Operation 5 duration 274 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 18 mins.
Job 1 Operation 1 duration 37 mins.
Job 2 Operation 2 duration 106 mins.
Job 9 Operation 2 duration 224 mins.
Job 4 Operation 3 duration 16 mins.
Job 5 Operation 3 duration 74 mins.
Job 0 Operation 4 duration 83 mins.
Job 7 Operation 4 duration 287 mins.
Job 8 Operation 4 duration 108 mins.
Job 6 Operation 5 duration 332 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 10 -> 10
Job 2 Operation 0 on Machine 1 : 0 + 23 -> 23
Job 9 Operation 0 on Machine 2 : 0 + 29 -> 29
Job 6 Operation 0 on Machine 3 : 0 + 20 -> 20
Job 3 Operation 0 on Machine 5 : 0 + 18 -> 18
Job 5 Operation 0 on Machine 3 : 20 + 93 -> 113
Job 6 Operation 1 on Machine 4 : 20 + 24 -> 44
Job 0 Operation 1 on Machine 1 : 23 + 136 -> 159
Job 1 Operation 0 on Machine 2 : 29 + 227 -> 256
Job 6 Operation 2 on Machine 0 : 44 + 309 -> 353
Job 3 Operation 1 on Machine 4 : 44 + 164 -> 208
Job 8 Operation 0 on Machine 1 : 159 + 313 -> 472
Job 0 Operation 2 on Machine 3 : 159 + 92 -> 251
Job 0 Operation 3 on Machine 4 : 251 + 251 -> 502
Job 2 Operation 1 on Machine 2 : 256 + 329 -> 585
Job 1 Operation 1 on Machine 5 : 256 + 37 -> 293
Job 1 Operation 2 on Machine 3 : 293 + 105 -> 398
Job 5 Operation 1 on Machine 0 : 353 + 91 -> 444
Job 7 Operation 0 on Machine 3 : 398 + 219 -> 617
Job 4 Operation 0 on Machine 0 : 444 + 350 -> 794
Job 1 Operation 3 on Machine 1 : 472 + 303 -> 775
Job 8 Operation 1 on Machine 4 : 502 + 213 -> 715
Job 0 Operation 4 on Machine 5 : 502 + 83 -> 585
Job 0 Operation 5 on Machine 2 : 585 + 105 -> 690
Job 2 Operation 2 on Machine 5 : 585 + 106 -> 691
Job 9 Operation 1 on Machine 3 : 617 + 315 -> 932
Job 7 Operation 1 on Machine 2 : 690 + 270 -> 960
Job 5 Operation 2 on Machine 4 : 715 + 111 -> 826
Job 3 Operation 2 on Machine 1 : 775 + 335 -> 1110
Job 2 Operation 3 on Machine 0 : 794 + 114 -> 908
Job 1 Operation 4 on Machine 4 : 826 + 294 -> 1120
Job 5 Operation 3 on Machine 5 : 826 + 74 -> 900
Job 2 Operation 4 on Machine 3 : 932 + 149 -> 1081
Job 9 Operation 2 on Machine 5 : 932 + 224 -> 1156
Job 7 Operation 2 on Machine 0 : 960 + 198 -> 1158
Job 4 Operation 1 on Machine 2 : 960 + 242 -> 1202
Job 5 Operation 4 on Machine 1 : 1110 + 145 -> 1255
Job 3 Operation 3 on Machine 3 : 1110 + 203 -> 1313
Job 9 Operation 3 on Machine 0 : 1158 + 155 -> 1313
Job 8 Operation 2 on Machine 2 : 1202 + 242 -> 1444
Job 4 Operation 2 on Machine 4 : 1202 + 45 -> 1247
Job 4 Operation 3 on Machine 5 : 1247 + 16 -> 1263
Job 7 Operation 3 on Machine 1 : 1255 + 200 -> 1455
Job 3 Operation 4 on Machine 0 : 1313 + 255 -> 1568
Job 4 Operation 4 on Machine 3 : 1313 + 124 -> 1437
Job 9 Operation 4 on Machine 4 : 1313 + 354 -> 1667
Job 5 Operation 5 on Machine 2 : 1444 + 175 -> 1619
Job 8 Operation 3 on Machine 3 : 1444 + 296 -> 1740
Job 6 Operation 3 on Machine 1 : 1455 + 206 -> 1661
Job 7 Operation 4 on Machine 5 : 1455 + 287 -> 1742
Job 1 Operation 5 on Machine 0 : 1568 + 238 -> 1806
Job 4 Operation 5 on Machine 1 : 1661 + 323 -> 1984
Job 6 Operation 4 on Machine 2 : 1661 + 128 -> 1789
Job 2 Operation 5 on Machine 4 : 1667 + 270 -> 1937
Job 8 Operation 4 on Machine 5 : 1742 + 108 -> 1850
Job 3 Operation 5 on Machine 2 : 1789 + 348 -> 2137
Job 8 Operation 5 on Machine 0 : 1850 + 338 -> 2188
Job 6 Operation 5 on Machine 5 : 1850 + 332 -> 2182
Job 7 Operation 5 on Machine 4 : 1937 + 274 -> 2211
Job 9 Operation 5 on Machine 1 : 1984 + 239 -> 2223
Makespan: 2223.0, as it is the maximum end completion time of Operation 5
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 24 mins.
Operation 1 on Machine 0 duration 196 mins.
Operation 2 on Machine 3 duration 184 mins.
Operation 3 on Machine 1 duration 156 mins.
Operation 4 on Machine 2 duration 193 mins.
Operation 5 on Machine 7 duration 141 mins.
Operation 6 on Machine 5 duration 138 mins.
Operation 7 on Machine 10 duration 103 mins.
Operation 8 on Machine 8 duration 253 mins.
Operation 9 on Machine 11 duration 130 mins.
Operation 10 on Machine 9 duration 120 mins.
Operation 11 on Machine 4 duration 25 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 100 mins.
Operation 1 on Machine 5 duration 5 mins.
Operation 2 on Machine 6 duration 260 mins.
Operation 3 on Machine 2 duration 196 mins.
Operation 4 on Machine 0 duration 112 mins.
Operation 5 on Machine 7 duration 357 mins.
Operation 6 on Machine 10 duration 237 mins.
Operation 7 on Machine 8 duration 34 mins.
Operation 8 on Machine 9 duration 243 mins.
Operation 9 on Machine 3 duration 377 mins.
Operation 10 on Machine 1 duration 69 mins.
Operation 11 on Machine 11 duration 328 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 38 mins.
Operation 1 on Machine 10 duration 326 mins.
Operation 2 on Machine 3 duration 188 mins.
Operation 3 on Machine 11 duration 154 mins.
Operation 4 on Machine 1 duration 213 mins.
Operation 5 on Machine 7 duration 89 mins.
Operation 6 on Machine 2 duration 274 mins.
Operation 7 on Machine 9 duration 152 mins.
Operation 8 on Machine 4 duration 62 mins.
Operation 9 on Machine 8 duration 239 mins.
Operation 10 on Machine 6 duration 351 mins.
Operation 11 on Machine 5 duration 237 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 9 duration 66 mins.
Operation 1 on Machine 1 duration 334 mins.
Operation 2 on Machine 7 duration 13 mins.
Operation 3 on Machine 10 duration 170 mins.
Operation 4 on Machine 11 duration 167 mins.
Operation 5 on Machine 3 duration 65 mins.
Operation 6 on Machine 0 duration 99 mins.
Operation 7 on Machine 8 duration 160 mins.
Operation 8 on Machine 4 duration 364 mins.
Operation 9 on Machine 2 duration 345 mins.
Operation 10 on Machine 5 duration 75 mins.
Operation 11 on Machine 6 duration 280 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 333 mins.
Operation 1 on Machine 10 duration 36 mins.
Operation 2 on Machine 2 duration 361 mins.
Operation 3 on Machine 1 duration 281 mins.
Operation 4 on Machine 5 duration 247 mins.
Operation 5 on Machine 7 duration 201 mins.
Operation 6 on Machine 6 duration 133 mins.
Operation 7 on Machine 8 duration 107 mins.
Operation 8 on Machine 9 duration 225 mins.
Operation 9 on Machine 3 duration 220 mins.
Operation 10 on Machine 4 duration 151 mins.
Operation 11 on Machine 11 duration 246 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 49 mins.
Operation 1 on Machine 1 duration 357 mins.
Operation 2 on Machine 2 duration 85 mins.
Operation 3 on Machine 6 duration 154 mins.
Operation 4 on Machine 7 duration 65 mins.
Operation 5 on Machine 9 duration 167 mins.
Operation 6 on Machine 8 duration 2 mins.
Operation 7 on Machine 3 duration 88 mins.
Operation 8 on Machine 4 duration 9 mins.
Operation 9 on Machine 10 duration 184 mins.
Operation 10 on Machine 5 duration 67 mins.
Operation 11 on Machine 11 duration 118 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 8 duration 147 mins.
Operation 1 on Machine 9 duration 195 mins.
Operation 2 on Machine 7 duration 288 mins.
Operation 3 on Machine 11 duration 31 mins.
Operation 4 on Machine 6 duration 236 mins.
Operation 5 on Machine 3 duration 363 mins.
Operation 6 on Machine 5 duration 140 mins.
Operation 7 on Machine 10 duration 14 mins.
Operation 8 on Machine 4 duration 52 mins.
Operation 9 on Machine 1 duration 36 mins.
Operation 10 on Machine 0 duration 192 mins.
Operation 11 on Machine 2 duration 134 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 204 mins.
Operation 1 on Machine 4 duration 47 mins.
Operation 2 on Machine 9 duration 338 mins.
Operation 3 on Machine 11 duration 175 mins.
Operation 4 on Machine 6 duration 137 mins.
Operation 5 on Machine 0 duration 62 mins.
Operation 6 on Machine 7 duration 351 mins.
Operation 7 on Machine 10 duration 38 mins.
Operation 8 on Machine 1 duration 171 mins.
Operation 9 on Machine 3 duration 373 mins.
Operation 10 on Machine 5 duration 350 mins.
Operation 11 on Machine 8 duration 51 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 7 duration 345 mins.
Operation 1 on Machine 3 duration 309 mins.
Operation 2 on Machine 0 duration 134 mins.
Operation 3 on Machine 11 duration 39 mins.
Operation 4 on Machine 5 duration 277 mins.
Operation 5 on Machine 1 duration 213 mins.
Operation 6 on Machine 8 duration 87 mins.
Operation 7 on Machine 10 duration 11 mins.
Operation 8 on Machine 2 duration 307 mins.
Operation 9 on Machine 4 duration 127 mins.
Operation 10 on Machine 6 duration 284 mins.
Operation 11 on Machine 9 duration 261 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 10 duration 250 mins.
Operation 1 on Machine 8 duration 95 mins.
Operation 2 on Machine 6 duration 239 mins.
Operation 3 on Machine 2 duration 249 mins.
Operation 4 on Machine 7 duration 63 mins.
Operation 5 on Machine 4 duration 227 mins.
Operation 6 on Machine 1 duration 235 mins.
Operation 7 on Machine 11 duration 5 mins.
Operation 8 on Machine 0 duration 36 mins.
Operation 9 on Machine 3 duration 351 mins.
Operation 10 on Machine 5 duration 7 mins.
Operation 11 on Machine 9 duration 360 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 9 duration 383 mins.
Operation 1 on Machine 4 duration 10 mins.
Operation 2 on Machine 10 duration 253 mins.
Operation 3 on Machine 3 duration 298 mins.
Operation 4 on Machine 6 duration 64 mins.
Operation 5 on Machine 8 duration 176 mins.
Operation 6 on Machine 7 duration 146 mins.
Operation 7 on Machine 2 duration 172 mins.
Operation 8 on Machine 0 duration 60 mins.
Operation 9 on Machine 5 duration 14 mins.
Operation 10 on Machine 1 duration 266 mins.
Operation 11 on Machine 11 duration 187 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 8 duration 239 mins.
Operation 1 on Machine 5 duration 135 mins.
Operation 2 on Machine 6 duration 322 mins.
Operation 3 on Machine 11 duration 236 mins.
Operation 4 on Machine 4 duration 383 mins.
Operation 5 on Machine 3 duration 209 mins.
Operation 6 on Machine 1 duration 220 mins.
Operation 7 on Machine 0 duration 188 mins.
Operation 8 on Machine 10 duration 159 mins.
Operation 9 on Machine 7 duration 359 mins.
Operation 10 on Machine 9 duration 278 mins.
Operation 11 on Machine 2 duration 34 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 38 mins.
Job 4 Operation 0 duration 333 mins.
Job 5 Operation 0 duration 49 mins.
Job 0 Operation 1 duration 196 mins.
Job 8 Operation 2 duration 134 mins.
Job 1 Operation 4 duration 112 mins.
Job 7 Operation 5 duration 62 mins.
Job 3 Operation 6 duration 99 mins.
Job 11 Operation 7 duration 188 mins.
Job 9 Operation 8 duration 36 mins.
Job 10 Operation 8 duration 60 mins.
Job 6 Operation 10 duration 192 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 1 duration 334 mins.
Job 5 Operation 1 duration 357 mins.
Job 0 Operation 3 duration 156 mins.
Job 4 Operation 3 duration 281 mins.
Job 2 Operation 4 duration 213 mins.
Job 8 Operation 5 duration 213 mins.
Job 9 Operation 6 duration 235 mins.
Job 11 Operation 6 duration 220 mins.
Job 7 Operation 8 duration 171 mins.
Job 6 Operation 9 duration 36 mins.
Job 1 Operation 10 duration 69 mins.
Job 10 Operation 10 duration 266 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 204 mins.
Job 4 Operation 2 duration 361 mins.
Job 5 Operation 2 duration 85 mins.
Job 1 Operation 3 duration 196 mins.
Job 9 Operation 3 duration 249 mins.
Job 0 Operation 4 duration 193 mins.
Job 2 Operation 6 duration 274 mins.
Job 10 Operation 7 duration 172 mins.
Job 8 Operation 8 duration 307 mins.
Job 3 Operation 9 duration 345 mins.
Job 6 Operation 11 duration 134 mins.
Job 11 Operation 11 duration 34 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 1 duration 309 mins.
Job 0 Operation 2 duration 184 mins.
Job 2 Operation 2 duration 188 mins.
Job 10 Operation 3 duration 298 mins.
Job 3 Operation 5 duration 65 mins.
Job 6 Operation 5 duration 363 mins.
Job 11 Operation 5 duration 209 mins.
Job 5 Operation 7 duration 88 mins.
Job 1 Operation 9 duration 377 mins.
Job 4 Operation 9 duration 220 mins.
Job 7 Operation 9 duration 373 mins.
Job 9 Operation 9 duration 351 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 100 mins.
Job 7 Operation 1 duration 47 mins.
Job 10 Operation 1 duration 10 mins.
Job 11 Operation 4 duration 383 mins.
Job 9 Operation 5 duration 227 mins.
Job 2 Operation 8 duration 62 mins.
Job 3 Operation 8 duration 364 mins.
Job 5 Operation 8 duration 9 mins.
Job 6 Operation 8 duration 52 mins.
Job 8 Operation 9 duration 127 mins.
Job 4 Operation 10 duration 151 mins.
Job 0 Operation 11 duration 25 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 1 duration 5 mins.
Job 11 Operation 1 duration 135 mins.
Job 4 Operation 4 duration 247 mins.
Job 8 Operation 4 duration 277 mins.
Job 0 Operation 6 duration 138 mins.
Job 6 Operation 6 duration 140 mins.
Job 10 Operation 9 duration 14 mins.
Job 3 Operation 10 duration 75 mins.
Job 5 Operation 10 duration 67 mins.
Job 7 Operation 10 duration 350 mins.
Job 9 Operation 10 duration 7 mins.
Job 2 Operation 11 duration 237 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 24 mins.
Job 1 Operation 2 duration 260 mins.
Job 9 Operation 2 duration 239 mins.
Job 11 Operation 2 duration 322 mins.
Job 5 Operation 3 duration 154 mins.
Job 6 Operation 4 duration 236 mins.
Job 7 Operation 4 duration 137 mins.
Job 10 Operation 4 duration 64 mins.
Job 4 Operation 6 duration 133 mins.
Job 2 Operation 10 duration 351 mins.
Job 8 Operation 10 duration 284 mins.
Job 3 Operation 11 duration 280 mins.
Machine 7 is used for the following Operations:
Job 8 Operation 0 duration 345 mins.
Job 3 Operation 2 duration 13 mins.
Job 6 Operation 2 duration 288 mins.
Job 5 Operation 4 duration 65 mins.
Job 9 Operation 4 duration 63 mins.
Job 0 Operation 5 duration 141 mins.
Job 1 Operation 5 duration 357 mins.
Job 2 Operation 5 duration 89 mins.
Job 4 Operation 5 duration 201 mins.
Job 7 Operation 6 duration 351 mins.
Job 10 Operation 6 duration 146 mins.
Job 11 Operation 9 duration 359 mins.
Machine 8 is used for the following Operations:
Job 6 Operation 0 duration 147 mins.
Job 11 Operation 0 duration 239 mins.
Job 9 Operation 1 duration 95 mins.
Job 10 Operation 5 duration 176 mins.
Job 5 Operation 6 duration 2 mins.
Job 8 Operation 6 duration 87 mins.
Job 1 Operation 7 duration 34 mins.
Job 3 Operation 7 duration 160 mins.
Job 4 Operation 7 duration 107 mins.
Job 0 Operation 8 duration 253 mins.
Job 2 Operation 9 duration 239 mins.
Job 7 Operation 11 duration 51 mins.
Machine 9 is used for the following Operations:
Job 3 Operation 0 duration 66 mins.
Job 10 Operation 0 duration 383 mins.
Job 6 Operation 1 duration 195 mins.
Job 7 Operation 2 duration 338 mins.
Job 5 Operation 5 duration 167 mins.
Job 2 Operation 7 duration 152 mins.
Job 1 Operation 8 duration 243 mins.
Job 4 Operation 8 duration 225 mins.
Job 0 Operation 10 duration 120 mins.
Job 11 Operation 10 duration 278 mins.
Job 8 Operation 11 duration 261 mins.
Job 9 Operation 11 duration 360 mins.
Machine 10 is used for the following Operations:
Job 9 Operation 0 duration 250 mins.
Job 2 Operation 1 duration 326 mins.
Job 4 Operation 1 duration 36 mins.
Job 10 Operation 2 duration 253 mins.
Job 3 Operation 3 duration 170 mins.
Job 1 Operation 6 duration 237 mins.
Job 0 Operation 7 duration 103 mins.
Job 6 Operation 7 duration 14 mins.
Job 7 Operation 7 duration 38 mins.
Job 8 Operation 7 duration 11 mins.
Job 11 Operation 8 duration 159 mins.
Job 5 Operation 9 duration 184 mins.
Machine 11 is used for the following Operations:
Job 2 Operation 3 duration 154 mins.
Job 6 Operation 3 duration 31 mins.
Job 7 Operation 3 duration 175 mins.
Job 8 Operation 3 duration 39 mins.
Job 11 Operation 3 duration 236 mins.
Job 3 Operation 4 duration 167 mins.
Job 9 Operation 7 duration 5 mins.
Job 0 Operation 9 duration 130 mins.
Job 1 Operation 11 duration 328 mins.
Job 4 Operation 11 duration 246 mins.
Job 5 Operation 11 duration 118 mins.
Job 10 Operation 11 duration 187 mins.
| null |
Solution:
Job 7 Operation 0 on Machine 2 : 0 + 204 -> 204
Job 1 Operation 0 on Machine 4 : 0 + 100 -> 100
Job 0 Operation 0 on Machine 6 : 0 + 24 -> 24
Job 8 Operation 0 on Machine 7 : 0 + 345 -> 345
Job 6 Operation 0 on Machine 8 : 0 + 147 -> 147
Job 3 Operation 0 on Machine 9 : 0 + 66 -> 66
Job 0 Operation 1 on Machine 0 : 24 + 196 -> 220
Job 3 Operation 1 on Machine 1 : 66 + 334 -> 400
Job 10 Operation 0 on Machine 9 : 66 + 383 -> 449
Job 1 Operation 1 on Machine 5 : 100 + 5 -> 105
Job 1 Operation 2 on Machine 6 : 105 + 260 -> 365
Job 11 Operation 0 on Machine 8 : 147 + 239 -> 386
Job 7 Operation 1 on Machine 4 : 204 + 47 -> 251
Job 2 Operation 0 on Machine 0 : 220 + 38 -> 258
Job 0 Operation 2 on Machine 3 : 220 + 184 -> 404
Job 4 Operation 0 on Machine 0 : 258 + 333 -> 591
Job 2 Operation 1 on Machine 10 : 258 + 326 -> 584
Job 1 Operation 3 on Machine 2 : 365 + 196 -> 561
Job 11 Operation 1 on Machine 5 : 386 + 135 -> 521
Job 3 Operation 2 on Machine 7 : 400 + 13 -> 413
Job 0 Operation 3 on Machine 1 : 404 + 156 -> 560
Job 8 Operation 1 on Machine 3 : 404 + 309 -> 713
Job 10 Operation 1 on Machine 4 : 449 + 10 -> 459
Job 6 Operation 1 on Machine 9 : 449 + 195 -> 644
Job 11 Operation 2 on Machine 6 : 521 + 322 -> 843
Job 5 Operation 0 on Machine 0 : 591 + 49 -> 640
Job 4 Operation 1 on Machine 10 : 591 + 36 -> 627
Job 4 Operation 2 on Machine 2 : 627 + 361 -> 988
Job 10 Operation 2 on Machine 10 : 627 + 253 -> 880
Job 1 Operation 4 on Machine 0 : 640 + 112 -> 752
Job 5 Operation 1 on Machine 1 : 640 + 357 -> 997
Job 6 Operation 2 on Machine 7 : 644 + 288 -> 932
Job 7 Operation 2 on Machine 9 : 644 + 338 -> 982
Job 2 Operation 2 on Machine 3 : 713 + 188 -> 901
Job 8 Operation 2 on Machine 0 : 752 + 134 -> 886
Job 9 Operation 0 on Machine 10 : 880 + 250 -> 1130
Job 8 Operation 3 on Machine 11 : 886 + 39 -> 925
Job 10 Operation 3 on Machine 3 : 901 + 298 -> 1199
Job 8 Operation 4 on Machine 5 : 925 + 277 -> 1202
Job 1 Operation 5 on Machine 7 : 932 + 357 -> 1289
Job 6 Operation 3 on Machine 11 : 932 + 31 -> 963
Job 6 Operation 4 on Machine 6 : 963 + 236 -> 1199
Job 11 Operation 3 on Machine 11 : 963 + 236 -> 1199
Job 4 Operation 3 on Machine 1 : 997 + 281 -> 1278
Job 5 Operation 2 on Machine 2 : 997 + 85 -> 1082
Job 0 Operation 4 on Machine 2 : 1082 + 193 -> 1275
Job 9 Operation 1 on Machine 8 : 1130 + 95 -> 1225
Job 3 Operation 3 on Machine 10 : 1130 + 170 -> 1300
Job 6 Operation 5 on Machine 3 : 1199 + 363 -> 1562
Job 11 Operation 4 on Machine 4 : 1199 + 383 -> 1582
Job 10 Operation 4 on Machine 6 : 1199 + 64 -> 1263
Job 2 Operation 3 on Machine 11 : 1199 + 154 -> 1353
Job 9 Operation 2 on Machine 6 : 1263 + 239 -> 1502
Job 10 Operation 5 on Machine 8 : 1263 + 176 -> 1439
Job 8 Operation 5 on Machine 1 : 1278 + 213 -> 1491
Job 4 Operation 4 on Machine 5 : 1278 + 247 -> 1525
Job 0 Operation 5 on Machine 7 : 1289 + 141 -> 1430
Job 1 Operation 6 on Machine 10 : 1300 + 237 -> 1537
Job 3 Operation 4 on Machine 11 : 1353 + 167 -> 1520
Job 10 Operation 6 on Machine 7 : 1439 + 146 -> 1585
Job 2 Operation 4 on Machine 1 : 1491 + 213 -> 1704
Job 9 Operation 3 on Machine 2 : 1502 + 249 -> 1751
Job 5 Operation 3 on Machine 6 : 1502 + 154 -> 1656
Job 7 Operation 3 on Machine 11 : 1520 + 175 -> 1695
Job 1 Operation 7 on Machine 8 : 1537 + 34 -> 1571
Job 3 Operation 5 on Machine 3 : 1562 + 65 -> 1627
Job 6 Operation 6 on Machine 5 : 1562 + 140 -> 1702
Job 8 Operation 6 on Machine 8 : 1571 + 87 -> 1658
Job 1 Operation 8 on Machine 9 : 1571 + 243 -> 1814
Job 4 Operation 5 on Machine 7 : 1585 + 201 -> 1786
Job 3 Operation 6 on Machine 0 : 1627 + 99 -> 1726
Job 11 Operation 5 on Machine 3 : 1627 + 209 -> 1836
Job 8 Operation 7 on Machine 10 : 1658 + 11 -> 1669
Job 7 Operation 4 on Machine 6 : 1695 + 137 -> 1832
Job 0 Operation 6 on Machine 5 : 1702 + 138 -> 1840
Job 6 Operation 7 on Machine 10 : 1702 + 14 -> 1716
Job 3 Operation 7 on Machine 8 : 1726 + 160 -> 1886
Job 8 Operation 8 on Machine 2 : 1751 + 307 -> 2058
Job 5 Operation 4 on Machine 7 : 1786 + 65 -> 1851
Job 7 Operation 5 on Machine 0 : 1832 + 62 -> 1894
Job 4 Operation 6 on Machine 6 : 1832 + 133 -> 1965
Job 11 Operation 6 on Machine 1 : 1836 + 220 -> 2056
Job 1 Operation 9 on Machine 3 : 1836 + 377 -> 2213
Job 0 Operation 7 on Machine 10 : 1840 + 103 -> 1943
Job 2 Operation 5 on Machine 7 : 1851 + 89 -> 1940
Job 5 Operation 5 on Machine 9 : 1851 + 167 -> 2018
Job 3 Operation 8 on Machine 4 : 1886 + 364 -> 2250
Job 7 Operation 6 on Machine 7 : 1940 + 351 -> 2291
Job 4 Operation 7 on Machine 8 : 1965 + 107 -> 2072
Job 11 Operation 7 on Machine 0 : 2056 + 188 -> 2244
Job 2 Operation 6 on Machine 2 : 2058 + 274 -> 2332
Job 5 Operation 6 on Machine 8 : 2072 + 2 -> 2074
Job 4 Operation 8 on Machine 9 : 2072 + 225 -> 2297
Job 0 Operation 8 on Machine 8 : 2074 + 253 -> 2327
Job 1 Operation 10 on Machine 1 : 2213 + 69 -> 2282
Job 5 Operation 7 on Machine 3 : 2213 + 88 -> 2301
Job 8 Operation 9 on Machine 4 : 2250 + 127 -> 2377
Job 9 Operation 4 on Machine 7 : 2291 + 63 -> 2354
Job 7 Operation 7 on Machine 10 : 2291 + 38 -> 2329
Job 4 Operation 9 on Machine 3 : 2301 + 220 -> 2521
Job 0 Operation 9 on Machine 11 : 2327 + 130 -> 2457
Job 7 Operation 8 on Machine 1 : 2329 + 171 -> 2500
Job 11 Operation 8 on Machine 10 : 2329 + 159 -> 2488
Job 10 Operation 7 on Machine 2 : 2332 + 172 -> 2504
Job 2 Operation 7 on Machine 9 : 2332 + 152 -> 2484
Job 5 Operation 8 on Machine 4 : 2377 + 9 -> 2386
Job 8 Operation 10 on Machine 6 : 2377 + 284 -> 2661
Job 9 Operation 5 on Machine 4 : 2386 + 227 -> 2613
Job 1 Operation 11 on Machine 11 : 2457 + 328 -> 2785
Job 0 Operation 10 on Machine 9 : 2484 + 120 -> 2604
Job 11 Operation 9 on Machine 7 : 2488 + 359 -> 2847
Job 5 Operation 9 on Machine 10 : 2488 + 184 -> 2672
Job 10 Operation 8 on Machine 0 : 2504 + 60 -> 2564
Job 3 Operation 9 on Machine 2 : 2504 + 345 -> 2849
Job 7 Operation 9 on Machine 3 : 2521 + 373 -> 2894
Job 9 Operation 6 on Machine 1 : 2613 + 235 -> 2848
Job 6 Operation 8 on Machine 4 : 2613 + 52 -> 2665
Job 8 Operation 11 on Machine 9 : 2661 + 261 -> 2922
Job 2 Operation 8 on Machine 4 : 2665 + 62 -> 2727
Job 5 Operation 10 on Machine 5 : 2672 + 67 -> 2739
Job 4 Operation 10 on Machine 4 : 2727 + 151 -> 2878
Job 2 Operation 9 on Machine 8 : 2727 + 239 -> 2966
Job 10 Operation 9 on Machine 5 : 2739 + 14 -> 2753
Job 6 Operation 9 on Machine 1 : 2848 + 36 -> 2884
Job 9 Operation 7 on Machine 11 : 2848 + 5 -> 2853
Job 9 Operation 8 on Machine 0 : 2853 + 36 -> 2889
Job 5 Operation 11 on Machine 11 : 2853 + 118 -> 2971
Job 0 Operation 11 on Machine 4 : 2878 + 25 -> 2903
Job 10 Operation 10 on Machine 1 : 2884 + 266 -> 3150
Job 6 Operation 10 on Machine 0 : 2889 + 192 -> 3081
Job 9 Operation 9 on Machine 3 : 2894 + 351 -> 3245
Job 7 Operation 10 on Machine 5 : 2894 + 350 -> 3244
Job 11 Operation 10 on Machine 9 : 2922 + 278 -> 3200
Job 2 Operation 10 on Machine 6 : 2966 + 351 -> 3317
Job 6 Operation 11 on Machine 2 : 3081 + 134 -> 3215
Job 10 Operation 11 on Machine 11 : 3150 + 187 -> 3337
Job 11 Operation 11 on Machine 2 : 3215 + 34 -> 3249
Job 7 Operation 11 on Machine 8 : 3244 + 51 -> 3295
Job 9 Operation 10 on Machine 5 : 3245 + 7 -> 3252
Job 3 Operation 10 on Machine 5 : 3252 + 75 -> 3327
Job 9 Operation 11 on Machine 9 : 3252 + 360 -> 3612
Job 2 Operation 11 on Machine 5 : 3327 + 237 -> 3564
Job 3 Operation 11 on Machine 6 : 3327 + 280 -> 3607
Job 4 Operation 11 on Machine 11 : 3337 + 246 -> 3583
Makespan: 3612.0, as it is the maximum end completion time of Operation 11
| null |
|
6 | 6 |
Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 148 mins.
Operation 1 on Machine 0 duration 77 mins.
Operation 2 on Machine 4 duration 70 mins.
Operation 3 on Machine 2 duration 211 mins.
Operation 4 on Machine 3 duration 232 mins.
Operation 5 on Machine 5 duration 11 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 208 mins.
Operation 1 on Machine 1 duration 97 mins.
Operation 2 on Machine 2 duration 20 mins.
Operation 3 on Machine 3 duration 224 mins.
Operation 4 on Machine 5 duration 137 mins.
Operation 5 on Machine 4 duration 29 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 29 mins.
Operation 1 on Machine 2 duration 157 mins.
Operation 2 on Machine 0 duration 34 mins.
Operation 3 on Machine 3 duration 52 mins.
Operation 4 on Machine 1 duration 174 mins.
Operation 5 on Machine 4 duration 221 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 165 mins.
Operation 1 on Machine 1 duration 121 mins.
Operation 2 on Machine 3 duration 8 mins.
Operation 3 on Machine 2 duration 206 mins.
Operation 4 on Machine 4 duration 35 mins.
Operation 5 on Machine 0 duration 119 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 92 mins.
Operation 1 on Machine 1 duration 162 mins.
Operation 2 on Machine 0 duration 61 mins.
Operation 3 on Machine 2 duration 75 mins.
Operation 4 on Machine 5 duration 163 mins.
Operation 5 on Machine 3 duration 154 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 222 mins.
Operation 1 on Machine 0 duration 20 mins.
Operation 2 on Machine 1 duration 46 mins.
Operation 3 on Machine 5 duration 13 mins.
Operation 4 on Machine 3 duration 108 mins.
Operation 5 on Machine 2 duration 207 mins.
| null |
Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 208 mins.
Job 0 Operation 1 duration 77 mins.
Job 5 Operation 1 duration 20 mins.
Job 2 Operation 2 duration 34 mins.
Job 4 Operation 2 duration 61 mins.
Job 3 Operation 5 duration 119 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 148 mins.
Job 1 Operation 1 duration 97 mins.
Job 3 Operation 1 duration 121 mins.
Job 4 Operation 1 duration 162 mins.
Job 5 Operation 2 duration 46 mins.
Job 2 Operation 4 duration 174 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 1 duration 157 mins.
Job 1 Operation 2 duration 20 mins.
Job 0 Operation 3 duration 211 mins.
Job 3 Operation 3 duration 206 mins.
Job 4 Operation 3 duration 75 mins.
Job 5 Operation 5 duration 207 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 2 duration 8 mins.
Job 1 Operation 3 duration 224 mins.
Job 2 Operation 3 duration 52 mins.
Job 0 Operation 4 duration 232 mins.
Job 5 Operation 4 duration 108 mins.
Job 4 Operation 5 duration 154 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 92 mins.
Job 5 Operation 0 duration 222 mins.
Job 0 Operation 2 duration 70 mins.
Job 3 Operation 4 duration 35 mins.
Job 1 Operation 5 duration 29 mins.
Job 2 Operation 5 duration 221 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 29 mins.
Job 3 Operation 0 duration 165 mins.
Job 5 Operation 3 duration 13 mins.
Job 1 Operation 4 duration 137 mins.
Job 4 Operation 4 duration 163 mins.
Job 0 Operation 5 duration 11 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 208 -> 208
Job 0 Operation 0 on Machine 1 : 0 + 148 -> 148
Job 4 Operation 0 on Machine 4 : 0 + 92 -> 92
Job 2 Operation 0 on Machine 5 : 0 + 29 -> 29
Job 2 Operation 1 on Machine 2 : 29 + 157 -> 186
Job 3 Operation 0 on Machine 5 : 29 + 165 -> 194
Job 5 Operation 0 on Machine 4 : 92 + 222 -> 314
Job 0 Operation 1 on Machine 0 : 208 + 77 -> 285
Job 1 Operation 1 on Machine 1 : 208 + 97 -> 305
Job 4 Operation 1 on Machine 1 : 305 + 162 -> 467
Job 1 Operation 2 on Machine 2 : 305 + 20 -> 325
Job 5 Operation 1 on Machine 0 : 314 + 20 -> 334
Job 0 Operation 2 on Machine 4 : 314 + 70 -> 384
Job 1 Operation 3 on Machine 3 : 325 + 224 -> 549
Job 2 Operation 2 on Machine 0 : 334 + 34 -> 368
Job 0 Operation 3 on Machine 2 : 384 + 211 -> 595
Job 4 Operation 2 on Machine 0 : 467 + 61 -> 528
Job 5 Operation 2 on Machine 1 : 467 + 46 -> 513
Job 3 Operation 1 on Machine 1 : 513 + 121 -> 634
Job 5 Operation 3 on Machine 5 : 513 + 13 -> 526
Job 5 Operation 4 on Machine 3 : 549 + 108 -> 657
Job 1 Operation 4 on Machine 5 : 549 + 137 -> 686
Job 4 Operation 3 on Machine 2 : 595 + 75 -> 670
Job 3 Operation 2 on Machine 3 : 657 + 8 -> 665
Job 2 Operation 3 on Machine 3 : 665 + 52 -> 717
Job 3 Operation 3 on Machine 2 : 670 + 206 -> 876
Job 1 Operation 5 on Machine 4 : 686 + 29 -> 715
Job 4 Operation 4 on Machine 5 : 686 + 163 -> 849
Job 2 Operation 4 on Machine 1 : 717 + 174 -> 891
Job 0 Operation 4 on Machine 3 : 717 + 232 -> 949
Job 5 Operation 5 on Machine 2 : 876 + 207 -> 1083
Job 3 Operation 4 on Machine 4 : 876 + 35 -> 911
Job 3 Operation 5 on Machine 0 : 911 + 119 -> 1030
Job 2 Operation 5 on Machine 4 : 911 + 221 -> 1132
Job 4 Operation 5 on Machine 3 : 949 + 154 -> 1103
Job 0 Operation 5 on Machine 5 : 949 + 11 -> 960
Makespan: 1132.0, as it is the maximum end completion time of Operation 5
| null |
|
4 | 3 |
Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 28 mins.
Operation 1 on Machine 1 duration 166 mins.
Operation 2 on Machine 0 duration 422 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 397 mins.
Operation 1 on Machine 2 duration 431 mins.
Operation 2 on Machine 0 duration 390 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 193 mins.
Operation 1 on Machine 2 duration 66 mins.
Operation 2 on Machine 0 duration 12 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 437 mins.
Operation 1 on Machine 0 duration 77 mins.
Operation 2 on Machine 2 duration 7 mins.
| null |
Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 1 duration 77 mins.
Job 0 Operation 2 duration 422 mins.
Job 1 Operation 2 duration 390 mins.
Job 2 Operation 2 duration 12 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 397 mins.
Job 2 Operation 0 duration 193 mins.
Job 3 Operation 0 duration 437 mins.
Job 0 Operation 1 duration 166 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 28 mins.
Job 1 Operation 1 duration 431 mins.
Job 2 Operation 1 duration 66 mins.
Job 3 Operation 2 duration 7 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 1 : 0 + 397 -> 397
Job 0 Operation 0 on Machine 2 : 0 + 28 -> 28
Job 0 Operation 1 on Machine 1 : 397 + 166 -> 563
Job 1 Operation 1 on Machine 2 : 397 + 431 -> 828
Job 0 Operation 2 on Machine 0 : 563 + 422 -> 985
Job 2 Operation 0 on Machine 1 : 563 + 193 -> 756
Job 3 Operation 0 on Machine 1 : 756 + 437 -> 1193
Job 2 Operation 1 on Machine 2 : 828 + 66 -> 894
Job 1 Operation 2 on Machine 0 : 985 + 390 -> 1375
Job 3 Operation 1 on Machine 0 : 1375 + 77 -> 1452
Job 2 Operation 2 on Machine 0 : 1452 + 12 -> 1464
Job 3 Operation 2 on Machine 2 : 1452 + 7 -> 1459
Makespan: 1464.0, as it is the maximum end completion time of Operation 2
| null |
|
10 | 4 |
Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 6 mins.
Operation 1 on Machine 1 duration 10 mins.
Operation 2 on Machine 0 duration 4 mins.
Operation 3 on Machine 2 duration 6 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 7 mins.
Operation 1 on Machine 3 duration 2 mins.
Operation 2 on Machine 1 duration 14 mins.
Operation 3 on Machine 0 duration 4 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 13 mins.
Operation 1 on Machine 0 duration 2 mins.
Operation 2 on Machine 3 duration 8 mins.
Operation 3 on Machine 1 duration 13 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 12 mins.
Operation 1 on Machine 0 duration 10 mins.
Operation 2 on Machine 3 duration 3 mins.
Operation 3 on Machine 1 duration 13 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 2 mins.
Operation 1 on Machine 1 duration 9 mins.
Operation 2 on Machine 3 duration 7 mins.
Operation 3 on Machine 0 duration 11 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 2 mins.
Operation 1 on Machine 0 duration 6 mins.
Operation 2 on Machine 1 duration 1 mins.
Operation 3 on Machine 3 duration 1 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 5 mins.
Operation 1 on Machine 0 duration 7 mins.
Operation 2 on Machine 3 duration 12 mins.
Operation 3 on Machine 1 duration 3 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 14 mins.
Operation 1 on Machine 1 duration 3 mins.
Operation 2 on Machine 2 duration 4 mins.
Operation 3 on Machine 3 duration 12 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 13 mins.
Operation 1 on Machine 3 duration 5 mins.
Operation 2 on Machine 0 duration 7 mins.
Operation 3 on Machine 2 duration 2 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 3 duration 9 mins.
Operation 1 on Machine 1 duration 10 mins.
Operation 2 on Machine 0 duration 13 mins.
Operation 3 on Machine 2 duration 4 mins.
| null |
Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 7 Operation 0 duration 14 mins.
Job 2 Operation 1 duration 2 mins.
Job 3 Operation 1 duration 10 mins.
Job 5 Operation 1 duration 6 mins.
Job 6 Operation 1 duration 7 mins.
Job 0 Operation 2 duration 4 mins.
Job 8 Operation 2 duration 7 mins.
Job 9 Operation 2 duration 13 mins.
Job 1 Operation 3 duration 4 mins.
Job 4 Operation 3 duration 11 mins.
Machine 1 is used for the following Operations:
Job 8 Operation 0 duration 13 mins.
Job 0 Operation 1 duration 10 mins.
Job 4 Operation 1 duration 9 mins.
Job 7 Operation 1 duration 3 mins.
Job 9 Operation 1 duration 10 mins.
Job 1 Operation 2 duration 14 mins.
Job 5 Operation 2 duration 1 mins.
Job 2 Operation 3 duration 13 mins.
Job 3 Operation 3 duration 13 mins.
Job 6 Operation 3 duration 3 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 7 mins.
Job 2 Operation 0 duration 13 mins.
Job 3 Operation 0 duration 12 mins.
Job 4 Operation 0 duration 2 mins.
Job 5 Operation 0 duration 2 mins.
Job 6 Operation 0 duration 5 mins.
Job 7 Operation 2 duration 4 mins.
Job 0 Operation 3 duration 6 mins.
Job 8 Operation 3 duration 2 mins.
Job 9 Operation 3 duration 4 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 6 mins.
Job 9 Operation 0 duration 9 mins.
Job 1 Operation 1 duration 2 mins.
Job 8 Operation 1 duration 5 mins.
Job 2 Operation 2 duration 8 mins.
Job 3 Operation 2 duration 3 mins.
Job 4 Operation 2 duration 7 mins.
Job 6 Operation 2 duration 12 mins.
Job 5 Operation 3 duration 1 mins.
Job 7 Operation 3 duration 12 mins.
| null |
Solution:
Job 7 Operation 0 on Machine 0 : 0 + 14 -> 14
Job 8 Operation 0 on Machine 1 : 0 + 13 -> 13
Job 4 Operation 0 on Machine 2 : 0 + 2 -> 2
Job 0 Operation 0 on Machine 3 : 0 + 6 -> 6
Job 5 Operation 0 on Machine 2 : 2 + 2 -> 4
Job 6 Operation 0 on Machine 2 : 4 + 5 -> 9
Job 9 Operation 0 on Machine 3 : 6 + 9 -> 15
Job 1 Operation 0 on Machine 2 : 9 + 7 -> 16
Job 4 Operation 1 on Machine 1 : 13 + 9 -> 22
Job 5 Operation 1 on Machine 0 : 14 + 6 -> 20
Job 8 Operation 1 on Machine 3 : 15 + 5 -> 20
Job 3 Operation 0 on Machine 2 : 16 + 12 -> 28
Job 6 Operation 1 on Machine 0 : 20 + 7 -> 27
Job 1 Operation 1 on Machine 3 : 20 + 2 -> 22
Job 5 Operation 2 on Machine 1 : 22 + 1 -> 23
Job 4 Operation 2 on Machine 3 : 22 + 7 -> 29
Job 7 Operation 1 on Machine 1 : 23 + 3 -> 26
Job 0 Operation 1 on Machine 1 : 26 + 10 -> 36
Job 8 Operation 2 on Machine 0 : 27 + 7 -> 34
Job 7 Operation 2 on Machine 2 : 28 + 4 -> 32
Job 5 Operation 3 on Machine 3 : 29 + 1 -> 30
Job 6 Operation 2 on Machine 3 : 30 + 12 -> 42
Job 2 Operation 0 on Machine 2 : 32 + 13 -> 45
Job 3 Operation 1 on Machine 0 : 34 + 10 -> 44
Job 9 Operation 1 on Machine 1 : 36 + 10 -> 46
Job 7 Operation 3 on Machine 3 : 42 + 12 -> 54
Job 0 Operation 2 on Machine 0 : 44 + 4 -> 48
Job 8 Operation 3 on Machine 2 : 45 + 2 -> 47
Job 6 Operation 3 on Machine 1 : 46 + 3 -> 49
Job 2 Operation 1 on Machine 0 : 48 + 2 -> 50
Job 0 Operation 3 on Machine 2 : 48 + 6 -> 54
Job 1 Operation 2 on Machine 1 : 49 + 14 -> 63
Job 4 Operation 3 on Machine 0 : 50 + 11 -> 61
Job 3 Operation 2 on Machine 3 : 54 + 3 -> 57
Job 2 Operation 2 on Machine 3 : 57 + 8 -> 65
Job 9 Operation 2 on Machine 0 : 61 + 13 -> 74
Job 3 Operation 3 on Machine 1 : 63 + 13 -> 76
Job 1 Operation 3 on Machine 0 : 74 + 4 -> 78
Job 9 Operation 3 on Machine 2 : 74 + 4 -> 78
Job 2 Operation 3 on Machine 1 : 76 + 13 -> 89
Makespan: 89.0, as it is the maximum end completion time of Operation 3
| null |
|
6 | 3 |
Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 151 mins.
Operation 1 on Machine 1 duration 47 mins.
Operation 2 on Machine 2 duration 79 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 154 mins.
Operation 1 on Machine 0 duration 18 mins.
Operation 2 on Machine 1 duration 21 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 23 mins.
Operation 1 on Machine 1 duration 87 mins.
Operation 2 on Machine 2 duration 108 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 31 mins.
Operation 1 on Machine 0 duration 11 mins.
Operation 2 on Machine 2 duration 30 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 42 mins.
Operation 1 on Machine 0 duration 13 mins.
Operation 2 on Machine 1 duration 145 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 57 mins.
Operation 1 on Machine 1 duration 82 mins.
Operation 2 on Machine 2 duration 98 mins.
| null |
Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 151 mins.
Job 2 Operation 0 duration 23 mins.
Job 5 Operation 0 duration 57 mins.
Job 1 Operation 1 duration 18 mins.
Job 3 Operation 1 duration 11 mins.
Job 4 Operation 1 duration 13 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 31 mins.
Job 0 Operation 1 duration 47 mins.
Job 2 Operation 1 duration 87 mins.
Job 5 Operation 1 duration 82 mins.
Job 1 Operation 2 duration 21 mins.
Job 4 Operation 2 duration 145 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 154 mins.
Job 4 Operation 0 duration 42 mins.
Job 0 Operation 2 duration 79 mins.
Job 2 Operation 2 duration 108 mins.
Job 3 Operation 2 duration 30 mins.
Job 5 Operation 2 duration 98 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 23 -> 23
Job 3 Operation 0 on Machine 1 : 0 + 31 -> 31
Job 4 Operation 0 on Machine 2 : 0 + 42 -> 42
Job 5 Operation 0 on Machine 0 : 23 + 57 -> 80
Job 2 Operation 1 on Machine 1 : 31 + 87 -> 118
Job 1 Operation 0 on Machine 2 : 42 + 154 -> 196
Job 3 Operation 1 on Machine 0 : 80 + 11 -> 91
Job 4 Operation 1 on Machine 0 : 91 + 13 -> 104
Job 0 Operation 0 on Machine 0 : 104 + 151 -> 255
Job 5 Operation 1 on Machine 1 : 118 + 82 -> 200
Job 3 Operation 2 on Machine 2 : 196 + 30 -> 226
Job 4 Operation 2 on Machine 1 : 200 + 145 -> 345
Job 5 Operation 2 on Machine 2 : 226 + 98 -> 324
Job 1 Operation 1 on Machine 0 : 255 + 18 -> 273
Job 2 Operation 2 on Machine 2 : 324 + 108 -> 432
Job 1 Operation 2 on Machine 1 : 345 + 21 -> 366
Job 0 Operation 1 on Machine 1 : 366 + 47 -> 413
Job 0 Operation 2 on Machine 2 : 432 + 79 -> 511
Makespan: 511.0, as it is the maximum end completion time of Operation 2
| null |
|
15 | 15 |
Optimize schedule for 15 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 6 mins.
Operation 1 on Machine 14 duration 25 mins.
Operation 2 on Machine 3 duration 18 mins.
Operation 3 on Machine 1 duration 49 mins.
Operation 4 on Machine 6 duration 68 mins.
Operation 5 on Machine 13 duration 7 mins.
Operation 6 on Machine 0 duration 53 mins.
Operation 7 on Machine 11 duration 68 mins.
Operation 8 on Machine 9 duration 7 mins.
Operation 9 on Machine 4 duration 51 mins.
Operation 10 on Machine 10 duration 22 mins.
Operation 11 on Machine 7 duration 66 mins.
Operation 12 on Machine 12 duration 53 mins.
Operation 13 on Machine 5 duration 26 mins.
Operation 14 on Machine 8 duration 48 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 58 mins.
Operation 1 on Machine 13 duration 4 mins.
Operation 2 on Machine 11 duration 21 mins.
Operation 3 on Machine 1 duration 35 mins.
Operation 4 on Machine 6 duration 71 mins.
Operation 5 on Machine 4 duration 36 mins.
Operation 6 on Machine 10 duration 54 mins.
Operation 7 on Machine 12 duration 1 mins.
Operation 8 on Machine 9 duration 59 mins.
Operation 9 on Machine 8 duration 68 mins.
Operation 10 on Machine 7 duration 39 mins.
Operation 11 on Machine 0 duration 28 mins.
Operation 12 on Machine 5 duration 30 mins.
Operation 13 on Machine 14 duration 22 mins.
Operation 14 on Machine 3 duration 71 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 12 duration 57 mins.
Operation 1 on Machine 1 duration 24 mins.
Operation 2 on Machine 8 duration 70 mins.
Operation 3 on Machine 5 duration 8 mins.
Operation 4 on Machine 14 duration 12 mins.
Operation 5 on Machine 13 duration 7 mins.
Operation 6 on Machine 9 duration 64 mins.
Operation 7 on Machine 7 duration 58 mins.
Operation 8 on Machine 2 duration 35 mins.
Operation 9 on Machine 0 duration 51 mins.
Operation 10 on Machine 4 duration 35 mins.
Operation 11 on Machine 10 duration 43 mins.
Operation 12 on Machine 3 duration 57 mins.
Operation 13 on Machine 11 duration 68 mins.
Operation 14 on Machine 6 duration 52 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 10 duration 46 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 4 duration 13 mins.
Operation 3 on Machine 8 duration 36 mins.
Operation 4 on Machine 7 duration 39 mins.
Operation 5 on Machine 13 duration 70 mins.
Operation 6 on Machine 2 duration 23 mins.
Operation 7 on Machine 12 duration 31 mins.
Operation 8 on Machine 14 duration 6 mins.
Operation 9 on Machine 11 duration 64 mins.
Operation 10 on Machine 3 duration 14 mins.
Operation 11 on Machine 6 duration 47 mins.
Operation 12 on Machine 5 duration 2 mins.
Operation 13 on Machine 9 duration 14 mins.
Operation 14 on Machine 1 duration 43 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 14 duration 62 mins.
Operation 1 on Machine 10 duration 27 mins.
Operation 2 on Machine 8 duration 14 mins.
Operation 3 on Machine 11 duration 60 mins.
Operation 4 on Machine 4 duration 55 mins.
Operation 5 on Machine 2 duration 35 mins.
Operation 6 on Machine 9 duration 70 mins.
Operation 7 on Machine 5 duration 4 mins.
Operation 8 on Machine 13 duration 63 mins.
Operation 9 on Machine 3 duration 49 mins.
Operation 10 on Machine 7 duration 3 mins.
Operation 11 on Machine 6 duration 24 mins.
Operation 12 on Machine 0 duration 34 mins.
Operation 13 on Machine 1 duration 27 mins.
Operation 14 on Machine 12 duration 46 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 65 mins.
Operation 1 on Machine 13 duration 19 mins.
Operation 2 on Machine 9 duration 18 mins.
Operation 3 on Machine 8 duration 11 mins.
Operation 4 on Machine 5 duration 70 mins.
Operation 5 on Machine 4 duration 50 mins.
Operation 6 on Machine 10 duration 15 mins.
Operation 7 on Machine 3 duration 28 mins.
Operation 8 on Machine 2 duration 44 mins.
Operation 9 on Machine 1 duration 46 mins.
Operation 10 on Machine 7 duration 71 mins.
Operation 11 on Machine 6 duration 63 mins.
Operation 12 on Machine 11 duration 14 mins.
Operation 13 on Machine 12 duration 65 mins.
Operation 14 on Machine 14 duration 22 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 25 mins.
Operation 1 on Machine 4 duration 38 mins.
Operation 2 on Machine 14 duration 33 mins.
Operation 3 on Machine 12 duration 31 mins.
Operation 4 on Machine 9 duration 37 mins.
Operation 5 on Machine 10 duration 61 mins.
Operation 6 on Machine 7 duration 1 mins.
Operation 7 on Machine 1 duration 37 mins.
Operation 8 on Machine 2 duration 54 mins.
Operation 9 on Machine 0 duration 59 mins.
Operation 10 on Machine 13 duration 43 mins.
Operation 11 on Machine 5 duration 11 mins.
Operation 12 on Machine 6 duration 64 mins.
Operation 13 on Machine 8 duration 49 mins.
Operation 14 on Machine 11 duration 29 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 7 duration 10 mins.
Operation 1 on Machine 8 duration 56 mins.
Operation 2 on Machine 0 duration 1 mins.
Operation 3 on Machine 9 duration 8 mins.
Operation 4 on Machine 14 duration 50 mins.
Operation 5 on Machine 5 duration 23 mins.
Operation 6 on Machine 11 duration 8 mins.
Operation 7 on Machine 1 duration 61 mins.
Operation 8 on Machine 2 duration 66 mins.
Operation 9 on Machine 12 duration 31 mins.
Operation 10 on Machine 3 duration 42 mins.
Operation 11 on Machine 13 duration 12 mins.
Operation 12 on Machine 6 duration 35 mins.
Operation 13 on Machine 4 duration 5 mins.
Operation 14 on Machine 10 duration 47 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 7 duration 37 mins.
Operation 1 on Machine 0 duration 60 mins.
Operation 2 on Machine 12 duration 68 mins.
Operation 3 on Machine 10 duration 54 mins.
Operation 4 on Machine 9 duration 1 mins.
Operation 5 on Machine 13 duration 47 mins.
Operation 6 on Machine 2 duration 14 mins.
Operation 7 on Machine 5 duration 37 mins.
Operation 8 on Machine 1 duration 39 mins.
Operation 9 on Machine 14 duration 51 mins.
Operation 10 on Machine 6 duration 63 mins.
Operation 11 on Machine 4 duration 63 mins.
Operation 12 on Machine 8 duration 18 mins.
Operation 13 on Machine 11 duration 59 mins.
Operation 14 on Machine 3 duration 42 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 5 duration 39 mins.
Operation 1 on Machine 2 duration 5 mins.
Operation 2 on Machine 13 duration 52 mins.
Operation 3 on Machine 6 duration 5 mins.
Operation 4 on Machine 8 duration 68 mins.
Operation 5 on Machine 14 duration 69 mins.
Operation 6 on Machine 9 duration 24 mins.
Operation 7 on Machine 11 duration 13 mins.
Operation 8 on Machine 3 duration 66 mins.
Operation 9 on Machine 1 duration 3 mins.
Operation 10 on Machine 12 duration 28 mins.
Operation 11 on Machine 0 duration 40 mins.
Operation 12 on Machine 7 duration 28 mins.
Operation 13 on Machine 4 duration 11 mins.
Operation 14 on Machine 10 duration 28 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 4 duration 43 mins.
Operation 1 on Machine 5 duration 68 mins.
Operation 2 on Machine 8 duration 4 mins.
Operation 3 on Machine 10 duration 61 mins.
Operation 4 on Machine 0 duration 38 mins.
Operation 5 on Machine 14 duration 25 mins.
Operation 6 on Machine 3 duration 30 mins.
Operation 7 on Machine 7 duration 35 mins.
Operation 8 on Machine 12 duration 63 mins.
Operation 9 on Machine 2 duration 37 mins.
Operation 10 on Machine 13 duration 47 mins.
Operation 11 on Machine 1 duration 38 mins.
Operation 12 on Machine 11 duration 43 mins.
Operation 13 on Machine 6 duration 64 mins.
Operation 14 on Machine 9 duration 44 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 8 duration 65 mins.
Operation 1 on Machine 6 duration 44 mins.
Operation 2 on Machine 9 duration 10 mins.
Operation 3 on Machine 11 duration 51 mins.
Operation 4 on Machine 5 duration 42 mins.
Operation 5 on Machine 14 duration 48 mins.
Operation 6 on Machine 13 duration 59 mins.
Operation 7 on Machine 4 duration 65 mins.
Operation 8 on Machine 12 duration 56 mins.
Operation 9 on Machine 1 duration 65 mins.
Operation 10 on Machine 2 duration 60 mins.
Operation 11 on Machine 10 duration 9 mins.
Operation 12 on Machine 0 duration 71 mins.
Operation 13 on Machine 3 duration 34 mins.
Operation 14 on Machine 7 duration 38 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 11 duration 15 mins.
Operation 1 on Machine 0 duration 55 mins.
Operation 2 on Machine 3 duration 58 mins.
Operation 3 on Machine 12 duration 25 mins.
Operation 4 on Machine 8 duration 56 mins.
Operation 5 on Machine 6 duration 37 mins.
Operation 6 on Machine 10 duration 34 mins.
Operation 7 on Machine 2 duration 21 mins.
Operation 8 on Machine 9 duration 67 mins.
Operation 9 on Machine 5 duration 28 mins.
Operation 10 on Machine 7 duration 64 mins.
Operation 11 on Machine 1 duration 38 mins.
Operation 12 on Machine 14 duration 33 mins.
Operation 13 on Machine 4 duration 68 mins.
Operation 14 on Machine 13 duration 46 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 0 duration 46 mins.
Operation 1 on Machine 5 duration 15 mins.
Operation 2 on Machine 14 duration 6 mins.
Operation 3 on Machine 1 duration 68 mins.
Operation 4 on Machine 7 duration 1 mins.
Operation 5 on Machine 8 duration 59 mins.
Operation 6 on Machine 6 duration 22 mins.
Operation 7 on Machine 4 duration 48 mins.
Operation 8 on Machine 9 duration 63 mins.
Operation 9 on Machine 2 duration 54 mins.
Operation 10 on Machine 13 duration 10 mins.
Operation 11 on Machine 3 duration 14 mins.
Operation 12 on Machine 10 duration 43 mins.
Operation 13 on Machine 12 duration 68 mins.
Operation 14 on Machine 11 duration 18 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 4 duration 68 mins.
Operation 1 on Machine 12 duration 24 mins.
Operation 2 on Machine 7 duration 5 mins.
Operation 3 on Machine 1 duration 19 mins.
Operation 4 on Machine 0 duration 7 mins.
Operation 5 on Machine 5 duration 60 mins.
Operation 6 on Machine 3 duration 18 mins.
Operation 7 on Machine 6 duration 31 mins.
Operation 8 on Machine 14 duration 45 mins.
Operation 9 on Machine 2 duration 36 mins.
Operation 10 on Machine 9 duration 48 mins.
Operation 11 on Machine 13 duration 19 mins.
Operation 12 on Machine 11 duration 47 mins.
Operation 13 on Machine 8 duration 4 mins.
Operation 14 on Machine 10 duration 25 mins.
| null |
Optimize schedule for 15 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 65 mins.
Job 13 Operation 0 duration 46 mins.
Job 3 Operation 1 duration 8 mins.
Job 8 Operation 1 duration 60 mins.
Job 12 Operation 1 duration 55 mins.
Job 7 Operation 2 duration 1 mins.
Job 10 Operation 4 duration 38 mins.
Job 14 Operation 4 duration 7 mins.
Job 0 Operation 6 duration 53 mins.
Job 2 Operation 9 duration 51 mins.
Job 6 Operation 9 duration 59 mins.
Job 1 Operation 11 duration 28 mins.
Job 9 Operation 11 duration 40 mins.
Job 4 Operation 12 duration 34 mins.
Job 11 Operation 12 duration 71 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 1 duration 24 mins.
Job 0 Operation 3 duration 49 mins.
Job 1 Operation 3 duration 35 mins.
Job 13 Operation 3 duration 68 mins.
Job 14 Operation 3 duration 19 mins.
Job 6 Operation 7 duration 37 mins.
Job 7 Operation 7 duration 61 mins.
Job 8 Operation 8 duration 39 mins.
Job 5 Operation 9 duration 46 mins.
Job 9 Operation 9 duration 3 mins.
Job 11 Operation 9 duration 65 mins.
Job 10 Operation 11 duration 38 mins.
Job 12 Operation 11 duration 38 mins.
Job 4 Operation 13 duration 27 mins.
Job 3 Operation 14 duration 43 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 6 mins.
Job 1 Operation 0 duration 58 mins.
Job 9 Operation 1 duration 5 mins.
Job 4 Operation 5 duration 35 mins.
Job 3 Operation 6 duration 23 mins.
Job 8 Operation 6 duration 14 mins.
Job 12 Operation 7 duration 21 mins.
Job 2 Operation 8 duration 35 mins.
Job 5 Operation 8 duration 44 mins.
Job 6 Operation 8 duration 54 mins.
Job 7 Operation 8 duration 66 mins.
Job 10 Operation 9 duration 37 mins.
Job 13 Operation 9 duration 54 mins.
Job 14 Operation 9 duration 36 mins.
Job 11 Operation 10 duration 60 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 25 mins.
Job 0 Operation 2 duration 18 mins.
Job 12 Operation 2 duration 58 mins.
Job 10 Operation 6 duration 30 mins.
Job 14 Operation 6 duration 18 mins.
Job 5 Operation 7 duration 28 mins.
Job 9 Operation 8 duration 66 mins.
Job 4 Operation 9 duration 49 mins.
Job 3 Operation 10 duration 14 mins.
Job 7 Operation 10 duration 42 mins.
Job 13 Operation 11 duration 14 mins.
Job 2 Operation 12 duration 57 mins.
Job 11 Operation 13 duration 34 mins.
Job 1 Operation 14 duration 71 mins.
Job 8 Operation 14 duration 42 mins.
Machine 4 is used for the following Operations:
Job 10 Operation 0 duration 43 mins.
Job 14 Operation 0 duration 68 mins.
Job 6 Operation 1 duration 38 mins.
Job 3 Operation 2 duration 13 mins.
Job 4 Operation 4 duration 55 mins.
Job 1 Operation 5 duration 36 mins.
Job 5 Operation 5 duration 50 mins.
Job 11 Operation 7 duration 65 mins.
Job 13 Operation 7 duration 48 mins.
Job 0 Operation 9 duration 51 mins.
Job 2 Operation 10 duration 35 mins.
Job 8 Operation 11 duration 63 mins.
Job 7 Operation 13 duration 5 mins.
Job 9 Operation 13 duration 11 mins.
Job 12 Operation 13 duration 68 mins.
Machine 5 is used for the following Operations:
Job 9 Operation 0 duration 39 mins.
Job 10 Operation 1 duration 68 mins.
Job 13 Operation 1 duration 15 mins.
Job 2 Operation 3 duration 8 mins.
Job 5 Operation 4 duration 70 mins.
Job 11 Operation 4 duration 42 mins.
Job 7 Operation 5 duration 23 mins.
Job 14 Operation 5 duration 60 mins.
Job 4 Operation 7 duration 4 mins.
Job 8 Operation 7 duration 37 mins.
Job 12 Operation 9 duration 28 mins.
Job 6 Operation 11 duration 11 mins.
Job 1 Operation 12 duration 30 mins.
Job 3 Operation 12 duration 2 mins.
Job 0 Operation 13 duration 26 mins.
Machine 6 is used for the following Operations:
Job 11 Operation 1 duration 44 mins.
Job 9 Operation 3 duration 5 mins.
Job 0 Operation 4 duration 68 mins.
Job 1 Operation 4 duration 71 mins.
Job 12 Operation 5 duration 37 mins.
Job 13 Operation 6 duration 22 mins.
Job 14 Operation 7 duration 31 mins.
Job 8 Operation 10 duration 63 mins.
Job 3 Operation 11 duration 47 mins.
Job 4 Operation 11 duration 24 mins.
Job 5 Operation 11 duration 63 mins.
Job 6 Operation 12 duration 64 mins.
Job 7 Operation 12 duration 35 mins.
Job 10 Operation 13 duration 64 mins.
Job 2 Operation 14 duration 52 mins.
Machine 7 is used for the following Operations:
Job 7 Operation 0 duration 10 mins.
Job 8 Operation 0 duration 37 mins.
Job 14 Operation 2 duration 5 mins.
Job 3 Operation 4 duration 39 mins.
Job 13 Operation 4 duration 1 mins.
Job 6 Operation 6 duration 1 mins.
Job 2 Operation 7 duration 58 mins.
Job 10 Operation 7 duration 35 mins.
Job 1 Operation 10 duration 39 mins.
Job 4 Operation 10 duration 3 mins.
Job 5 Operation 10 duration 71 mins.
Job 12 Operation 10 duration 64 mins.
Job 0 Operation 11 duration 66 mins.
Job 9 Operation 12 duration 28 mins.
Job 11 Operation 14 duration 38 mins.
Machine 8 is used for the following Operations:
Job 11 Operation 0 duration 65 mins.
Job 7 Operation 1 duration 56 mins.
Job 2 Operation 2 duration 70 mins.
Job 4 Operation 2 duration 14 mins.
Job 10 Operation 2 duration 4 mins.
Job 3 Operation 3 duration 36 mins.
Job 5 Operation 3 duration 11 mins.
Job 9 Operation 4 duration 68 mins.
Job 12 Operation 4 duration 56 mins.
Job 13 Operation 5 duration 59 mins.
Job 1 Operation 9 duration 68 mins.
Job 8 Operation 12 duration 18 mins.
Job 6 Operation 13 duration 49 mins.
Job 14 Operation 13 duration 4 mins.
Job 0 Operation 14 duration 48 mins.
Machine 9 is used for the following Operations:
Job 5 Operation 2 duration 18 mins.
Job 11 Operation 2 duration 10 mins.
Job 7 Operation 3 duration 8 mins.
Job 6 Operation 4 duration 37 mins.
Job 8 Operation 4 duration 1 mins.
Job 2 Operation 6 duration 64 mins.
Job 4 Operation 6 duration 70 mins.
Job 9 Operation 6 duration 24 mins.
Job 0 Operation 8 duration 7 mins.
Job 1 Operation 8 duration 59 mins.
Job 12 Operation 8 duration 67 mins.
Job 13 Operation 8 duration 63 mins.
Job 14 Operation 10 duration 48 mins.
Job 3 Operation 13 duration 14 mins.
Job 10 Operation 14 duration 44 mins.
Machine 10 is used for the following Operations:
Job 3 Operation 0 duration 46 mins.
Job 4 Operation 1 duration 27 mins.
Job 8 Operation 3 duration 54 mins.
Job 10 Operation 3 duration 61 mins.
Job 6 Operation 5 duration 61 mins.
Job 1 Operation 6 duration 54 mins.
Job 5 Operation 6 duration 15 mins.
Job 12 Operation 6 duration 34 mins.
Job 0 Operation 10 duration 22 mins.
Job 2 Operation 11 duration 43 mins.
Job 11 Operation 11 duration 9 mins.
Job 13 Operation 12 duration 43 mins.
Job 7 Operation 14 duration 47 mins.
Job 9 Operation 14 duration 28 mins.
Job 14 Operation 14 duration 25 mins.
Machine 11 is used for the following Operations:
Job 12 Operation 0 duration 15 mins.
Job 1 Operation 2 duration 21 mins.
Job 4 Operation 3 duration 60 mins.
Job 11 Operation 3 duration 51 mins.
Job 7 Operation 6 duration 8 mins.
Job 0 Operation 7 duration 68 mins.
Job 9 Operation 7 duration 13 mins.
Job 3 Operation 9 duration 64 mins.
Job 5 Operation 12 duration 14 mins.
Job 10 Operation 12 duration 43 mins.
Job 14 Operation 12 duration 47 mins.
Job 2 Operation 13 duration 68 mins.
Job 8 Operation 13 duration 59 mins.
Job 6 Operation 14 duration 29 mins.
Job 13 Operation 14 duration 18 mins.
Machine 12 is used for the following Operations:
Job 2 Operation 0 duration 57 mins.
Job 14 Operation 1 duration 24 mins.
Job 8 Operation 2 duration 68 mins.
Job 6 Operation 3 duration 31 mins.
Job 12 Operation 3 duration 25 mins.
Job 1 Operation 7 duration 1 mins.
Job 3 Operation 7 duration 31 mins.
Job 10 Operation 8 duration 63 mins.
Job 11 Operation 8 duration 56 mins.
Job 7 Operation 9 duration 31 mins.
Job 9 Operation 10 duration 28 mins.
Job 0 Operation 12 duration 53 mins.
Job 5 Operation 13 duration 65 mins.
Job 13 Operation 13 duration 68 mins.
Job 4 Operation 14 duration 46 mins.
Machine 13 is used for the following Operations:
Job 1 Operation 1 duration 4 mins.
Job 5 Operation 1 duration 19 mins.
Job 9 Operation 2 duration 52 mins.
Job 0 Operation 5 duration 7 mins.
Job 2 Operation 5 duration 7 mins.
Job 3 Operation 5 duration 70 mins.
Job 8 Operation 5 duration 47 mins.
Job 11 Operation 6 duration 59 mins.
Job 4 Operation 8 duration 63 mins.
Job 6 Operation 10 duration 43 mins.
Job 10 Operation 10 duration 47 mins.
Job 13 Operation 10 duration 10 mins.
Job 7 Operation 11 duration 12 mins.
Job 14 Operation 11 duration 19 mins.
Job 12 Operation 14 duration 46 mins.
Machine 14 is used for the following Operations:
Job 4 Operation 0 duration 62 mins.
Job 0 Operation 1 duration 25 mins.
Job 6 Operation 2 duration 33 mins.
Job 13 Operation 2 duration 6 mins.
Job 2 Operation 4 duration 12 mins.
Job 7 Operation 4 duration 50 mins.
Job 9 Operation 5 duration 69 mins.
Job 10 Operation 5 duration 25 mins.
Job 11 Operation 5 duration 48 mins.
Job 3 Operation 8 duration 6 mins.
Job 14 Operation 8 duration 45 mins.
Job 8 Operation 9 duration 51 mins.
Job 12 Operation 12 duration 33 mins.
Job 1 Operation 13 duration 22 mins.
Job 5 Operation 14 duration 22 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 65 -> 65
Job 1 Operation 0 on Machine 2 : 0 + 58 -> 58
Job 6 Operation 0 on Machine 3 : 0 + 25 -> 25
Job 10 Operation 0 on Machine 4 : 0 + 43 -> 43
Job 9 Operation 0 on Machine 5 : 0 + 39 -> 39
Job 7 Operation 0 on Machine 7 : 0 + 10 -> 10
Job 11 Operation 0 on Machine 8 : 0 + 65 -> 65
Job 3 Operation 0 on Machine 10 : 0 + 46 -> 46
Job 12 Operation 0 on Machine 11 : 0 + 15 -> 15
Job 2 Operation 0 on Machine 12 : 0 + 57 -> 57
Job 4 Operation 0 on Machine 14 : 0 + 62 -> 62
Job 8 Operation 0 on Machine 7 : 10 + 37 -> 47
Job 6 Operation 1 on Machine 4 : 43 + 38 -> 81
Job 10 Operation 1 on Machine 5 : 43 + 68 -> 111
Job 2 Operation 1 on Machine 1 : 57 + 24 -> 81
Job 0 Operation 0 on Machine 2 : 58 + 6 -> 64
Job 1 Operation 1 on Machine 13 : 58 + 4 -> 62
Job 4 Operation 1 on Machine 10 : 62 + 27 -> 89
Job 1 Operation 2 on Machine 11 : 62 + 21 -> 83
Job 9 Operation 1 on Machine 2 : 64 + 5 -> 69
Job 0 Operation 1 on Machine 14 : 64 + 25 -> 89
Job 13 Operation 0 on Machine 0 : 65 + 46 -> 111
Job 11 Operation 1 on Machine 6 : 65 + 44 -> 109
Job 5 Operation 1 on Machine 13 : 65 + 19 -> 84
Job 14 Operation 0 on Machine 4 : 81 + 68 -> 149
Job 5 Operation 2 on Machine 9 : 84 + 18 -> 102
Job 9 Operation 2 on Machine 13 : 84 + 52 -> 136
Job 0 Operation 2 on Machine 3 : 89 + 18 -> 107
Job 4 Operation 2 on Machine 8 : 89 + 14 -> 103
Job 6 Operation 2 on Machine 14 : 89 + 33 -> 122
Job 5 Operation 3 on Machine 8 : 103 + 11 -> 114
Job 4 Operation 3 on Machine 11 : 103 + 60 -> 163
Job 0 Operation 3 on Machine 1 : 107 + 49 -> 156
Job 11 Operation 2 on Machine 9 : 109 + 10 -> 119
Job 3 Operation 1 on Machine 0 : 111 + 8 -> 119
Job 13 Operation 1 on Machine 5 : 111 + 15 -> 126
Job 10 Operation 2 on Machine 8 : 114 + 4 -> 118
Job 2 Operation 2 on Machine 8 : 118 + 70 -> 188
Job 10 Operation 3 on Machine 10 : 118 + 61 -> 179
Job 12 Operation 1 on Machine 0 : 119 + 55 -> 174
Job 6 Operation 3 on Machine 12 : 122 + 31 -> 153
Job 5 Operation 4 on Machine 5 : 126 + 70 -> 196
Job 9 Operation 3 on Machine 6 : 136 + 5 -> 141
Job 3 Operation 2 on Machine 4 : 149 + 13 -> 162
Job 6 Operation 4 on Machine 9 : 153 + 37 -> 190
Job 14 Operation 1 on Machine 12 : 153 + 24 -> 177
Job 1 Operation 3 on Machine 1 : 156 + 35 -> 191
Job 0 Operation 4 on Machine 6 : 156 + 68 -> 224
Job 4 Operation 4 on Machine 4 : 163 + 55 -> 218
Job 11 Operation 3 on Machine 11 : 163 + 51 -> 214
Job 8 Operation 1 on Machine 0 : 174 + 60 -> 234
Job 12 Operation 2 on Machine 3 : 174 + 58 -> 232
Job 14 Operation 2 on Machine 7 : 177 + 5 -> 182
Job 3 Operation 3 on Machine 8 : 188 + 36 -> 224
Job 6 Operation 5 on Machine 10 : 190 + 61 -> 251
Job 14 Operation 3 on Machine 1 : 191 + 19 -> 210
Job 2 Operation 3 on Machine 5 : 196 + 8 -> 204
Job 2 Operation 4 on Machine 14 : 204 + 12 -> 216
Job 11 Operation 4 on Machine 5 : 214 + 42 -> 256
Job 2 Operation 5 on Machine 13 : 216 + 7 -> 223
Job 13 Operation 2 on Machine 14 : 216 + 6 -> 222
Job 4 Operation 5 on Machine 2 : 218 + 35 -> 253
Job 5 Operation 5 on Machine 4 : 218 + 50 -> 268
Job 13 Operation 3 on Machine 1 : 222 + 68 -> 290
Job 2 Operation 6 on Machine 9 : 223 + 64 -> 287
Job 1 Operation 4 on Machine 6 : 224 + 71 -> 295
Job 3 Operation 4 on Machine 7 : 224 + 39 -> 263
Job 9 Operation 4 on Machine 8 : 224 + 68 -> 292
Job 0 Operation 5 on Machine 13 : 224 + 7 -> 231
Job 0 Operation 6 on Machine 0 : 234 + 53 -> 287
Job 8 Operation 2 on Machine 12 : 234 + 68 -> 302
Job 11 Operation 5 on Machine 14 : 256 + 48 -> 304
Job 6 Operation 6 on Machine 7 : 263 + 1 -> 264
Job 3 Operation 5 on Machine 13 : 263 + 70 -> 333
Job 5 Operation 6 on Machine 10 : 268 + 15 -> 283
Job 5 Operation 7 on Machine 3 : 283 + 28 -> 311
Job 14 Operation 4 on Machine 0 : 287 + 7 -> 294
Job 4 Operation 6 on Machine 9 : 287 + 70 -> 357
Job 0 Operation 7 on Machine 11 : 287 + 68 -> 355
Job 6 Operation 7 on Machine 1 : 290 + 37 -> 327
Job 13 Operation 4 on Machine 7 : 290 + 1 -> 291
Job 2 Operation 7 on Machine 7 : 291 + 58 -> 349
Job 7 Operation 1 on Machine 8 : 292 + 56 -> 348
Job 10 Operation 4 on Machine 0 : 294 + 38 -> 332
Job 14 Operation 5 on Machine 5 : 294 + 60 -> 354
Job 1 Operation 5 on Machine 4 : 295 + 36 -> 331
Job 8 Operation 3 on Machine 10 : 302 + 54 -> 356
Job 12 Operation 3 on Machine 12 : 302 + 25 -> 327
Job 9 Operation 5 on Machine 14 : 304 + 69 -> 373
Job 5 Operation 8 on Machine 2 : 311 + 44 -> 355
Job 11 Operation 6 on Machine 13 : 333 + 59 -> 392
Job 7 Operation 2 on Machine 0 : 348 + 1 -> 349
Job 12 Operation 4 on Machine 8 : 348 + 56 -> 404
Job 14 Operation 6 on Machine 3 : 354 + 18 -> 372
Job 5 Operation 9 on Machine 1 : 355 + 46 -> 401
Job 2 Operation 8 on Machine 2 : 355 + 35 -> 390
Job 1 Operation 6 on Machine 10 : 356 + 54 -> 410
Job 4 Operation 7 on Machine 5 : 357 + 4 -> 361
Job 8 Operation 4 on Machine 9 : 357 + 1 -> 358
Job 0 Operation 8 on Machine 9 : 358 + 7 -> 365
Job 0 Operation 9 on Machine 4 : 365 + 51 -> 416
Job 7 Operation 3 on Machine 9 : 365 + 8 -> 373
Job 14 Operation 7 on Machine 6 : 372 + 31 -> 403
Job 9 Operation 6 on Machine 9 : 373 + 24 -> 397
Job 7 Operation 4 on Machine 14 : 373 + 50 -> 423
Job 2 Operation 9 on Machine 0 : 390 + 51 -> 441
Job 3 Operation 6 on Machine 2 : 390 + 23 -> 413
Job 8 Operation 5 on Machine 13 : 392 + 47 -> 439
Job 9 Operation 7 on Machine 11 : 397 + 13 -> 410
Job 5 Operation 10 on Machine 7 : 401 + 71 -> 472
Job 12 Operation 5 on Machine 6 : 404 + 37 -> 441
Job 13 Operation 5 on Machine 8 : 404 + 59 -> 463
Job 9 Operation 8 on Machine 3 : 410 + 66 -> 476
Job 1 Operation 7 on Machine 12 : 410 + 1 -> 411
Job 1 Operation 8 on Machine 9 : 411 + 59 -> 470
Job 6 Operation 8 on Machine 2 : 413 + 54 -> 467
Job 3 Operation 7 on Machine 12 : 413 + 31 -> 444
Job 11 Operation 7 on Machine 4 : 416 + 65 -> 481
Job 7 Operation 5 on Machine 5 : 423 + 23 -> 446
Job 10 Operation 5 on Machine 14 : 423 + 25 -> 448
Job 4 Operation 8 on Machine 13 : 439 + 63 -> 502
Job 12 Operation 6 on Machine 10 : 441 + 34 -> 475
Job 7 Operation 6 on Machine 11 : 446 + 8 -> 454
Job 3 Operation 8 on Machine 14 : 448 + 6 -> 454
Job 7 Operation 7 on Machine 1 : 454 + 61 -> 515
Job 3 Operation 9 on Machine 11 : 454 + 64 -> 518
Job 14 Operation 8 on Machine 14 : 454 + 45 -> 499
Job 13 Operation 6 on Machine 6 : 463 + 22 -> 485
Job 6 Operation 9 on Machine 0 : 467 + 59 -> 526
Job 8 Operation 6 on Machine 2 : 467 + 14 -> 481
Job 1 Operation 9 on Machine 8 : 470 + 68 -> 538
Job 0 Operation 10 on Machine 10 : 475 + 22 -> 497
Job 10 Operation 6 on Machine 3 : 476 + 30 -> 506
Job 12 Operation 7 on Machine 2 : 481 + 21 -> 502
Job 2 Operation 10 on Machine 4 : 481 + 35 -> 516
Job 8 Operation 7 on Machine 5 : 481 + 37 -> 518
Job 11 Operation 8 on Machine 12 : 481 + 56 -> 537
Job 5 Operation 11 on Machine 6 : 485 + 63 -> 548
Job 14 Operation 9 on Machine 2 : 502 + 36 -> 538
Job 12 Operation 8 on Machine 9 : 502 + 67 -> 569
Job 10 Operation 7 on Machine 7 : 506 + 35 -> 541
Job 13 Operation 7 on Machine 4 : 516 + 48 -> 564
Job 2 Operation 11 on Machine 10 : 516 + 43 -> 559
Job 8 Operation 8 on Machine 1 : 518 + 39 -> 557
Job 3 Operation 10 on Machine 3 : 518 + 14 -> 532
Job 6 Operation 10 on Machine 13 : 526 + 43 -> 569
Job 4 Operation 9 on Machine 3 : 532 + 49 -> 581
Job 7 Operation 8 on Machine 2 : 538 + 66 -> 604
Job 1 Operation 10 on Machine 7 : 541 + 39 -> 580
Job 10 Operation 8 on Machine 12 : 541 + 63 -> 604
Job 3 Operation 11 on Machine 6 : 548 + 47 -> 595
Job 5 Operation 12 on Machine 11 : 548 + 14 -> 562
Job 11 Operation 9 on Machine 1 : 557 + 65 -> 622
Job 8 Operation 9 on Machine 14 : 557 + 51 -> 608
Job 6 Operation 11 on Machine 5 : 569 + 11 -> 580
Job 14 Operation 10 on Machine 9 : 569 + 48 -> 617
Job 1 Operation 11 on Machine 0 : 580 + 28 -> 608
Job 12 Operation 9 on Machine 5 : 580 + 28 -> 608
Job 2 Operation 12 on Machine 3 : 581 + 57 -> 638
Job 4 Operation 10 on Machine 7 : 581 + 3 -> 584
Job 4 Operation 11 on Machine 6 : 595 + 24 -> 619
Job 10 Operation 9 on Machine 2 : 604 + 37 -> 641
Job 7 Operation 9 on Machine 12 : 604 + 31 -> 635
Job 1 Operation 12 on Machine 5 : 608 + 30 -> 638
Job 12 Operation 10 on Machine 7 : 608 + 64 -> 672
Job 13 Operation 8 on Machine 9 : 617 + 63 -> 680
Job 14 Operation 11 on Machine 13 : 617 + 19 -> 636
Job 4 Operation 12 on Machine 0 : 619 + 34 -> 653
Job 8 Operation 10 on Machine 6 : 619 + 63 -> 682
Job 9 Operation 9 on Machine 1 : 622 + 3 -> 625
Job 9 Operation 10 on Machine 12 : 635 + 28 -> 663
Job 14 Operation 12 on Machine 11 : 636 + 47 -> 683
Job 7 Operation 10 on Machine 3 : 638 + 42 -> 680
Job 3 Operation 12 on Machine 5 : 638 + 2 -> 640
Job 1 Operation 13 on Machine 14 : 638 + 22 -> 660
Job 11 Operation 10 on Machine 2 : 641 + 60 -> 701
Job 10 Operation 10 on Machine 13 : 641 + 47 -> 688
Job 4 Operation 13 on Machine 1 : 653 + 27 -> 680
Job 9 Operation 11 on Machine 0 : 663 + 40 -> 703
Job 5 Operation 13 on Machine 12 : 663 + 65 -> 728
Job 0 Operation 11 on Machine 7 : 672 + 66 -> 738
Job 1 Operation 14 on Machine 3 : 680 + 71 -> 751
Job 3 Operation 13 on Machine 9 : 680 + 14 -> 694
Job 8 Operation 11 on Machine 4 : 682 + 63 -> 745
Job 6 Operation 12 on Machine 6 : 682 + 64 -> 746
Job 14 Operation 13 on Machine 8 : 683 + 4 -> 687
Job 2 Operation 13 on Machine 11 : 683 + 68 -> 751
Job 14 Operation 14 on Machine 10 : 687 + 25 -> 712
Job 10 Operation 11 on Machine 1 : 688 + 38 -> 726
Job 7 Operation 11 on Machine 13 : 688 + 12 -> 700
Job 13 Operation 9 on Machine 2 : 701 + 54 -> 755
Job 11 Operation 11 on Machine 10 : 712 + 9 -> 721
Job 11 Operation 12 on Machine 0 : 721 + 71 -> 792
Job 12 Operation 11 on Machine 1 : 726 + 38 -> 764
Job 4 Operation 14 on Machine 12 : 728 + 46 -> 774
Job 9 Operation 12 on Machine 7 : 738 + 28 -> 766
Job 8 Operation 12 on Machine 8 : 745 + 18 -> 763
Job 7 Operation 12 on Machine 6 : 746 + 35 -> 781
Job 10 Operation 12 on Machine 11 : 751 + 43 -> 794
Job 13 Operation 10 on Machine 13 : 755 + 10 -> 765
Job 6 Operation 13 on Machine 8 : 763 + 49 -> 812
Job 3 Operation 14 on Machine 1 : 764 + 43 -> 807
Job 12 Operation 12 on Machine 14 : 764 + 33 -> 797
Job 13 Operation 11 on Machine 3 : 765 + 14 -> 779
Job 0 Operation 12 on Machine 12 : 774 + 53 -> 827
Job 13 Operation 12 on Machine 10 : 779 + 43 -> 822
Job 7 Operation 13 on Machine 4 : 781 + 5 -> 786
Job 11 Operation 13 on Machine 3 : 792 + 34 -> 826
Job 10 Operation 13 on Machine 6 : 794 + 64 -> 858
Job 8 Operation 13 on Machine 11 : 794 + 59 -> 853
Job 12 Operation 13 on Machine 4 : 797 + 68 -> 865
Job 5 Operation 14 on Machine 14 : 797 + 22 -> 819
Job 7 Operation 14 on Machine 10 : 822 + 47 -> 869
Job 11 Operation 14 on Machine 7 : 826 + 38 -> 864
Job 0 Operation 13 on Machine 5 : 827 + 26 -> 853
Job 13 Operation 13 on Machine 12 : 827 + 68 -> 895
Job 8 Operation 14 on Machine 3 : 853 + 42 -> 895
Job 0 Operation 14 on Machine 8 : 853 + 48 -> 901
Job 6 Operation 14 on Machine 11 : 853 + 29 -> 882
Job 2 Operation 14 on Machine 6 : 858 + 52 -> 910
Job 10 Operation 14 on Machine 9 : 858 + 44 -> 902
Job 9 Operation 13 on Machine 4 : 865 + 11 -> 876
Job 12 Operation 14 on Machine 13 : 865 + 46 -> 911
Job 9 Operation 14 on Machine 10 : 876 + 28 -> 904
Job 13 Operation 14 on Machine 11 : 895 + 18 -> 913
Makespan: 913.0, as it is the maximum end completion time of Operation 14
| null |
|
5 | 2 |
Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 73 mins.
Operation 1 on Machine 1 duration 18 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 106 mins.
Operation 1 on Machine 0 duration 86 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 115 mins.
Operation 1 on Machine 0 duration 121 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 60 mins.
Operation 1 on Machine 1 duration 51 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 150 mins.
Operation 1 on Machine 1 duration 81 mins.
| null |
Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 73 mins.
Job 3 Operation 0 duration 60 mins.
Job 4 Operation 0 duration 150 mins.
Job 1 Operation 1 duration 86 mins.
Job 2 Operation 1 duration 121 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 106 mins.
Job 2 Operation 0 duration 115 mins.
Job 0 Operation 1 duration 18 mins.
Job 3 Operation 1 duration 51 mins.
Job 4 Operation 1 duration 81 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 60 -> 60
Job 1 Operation 0 on Machine 1 : 0 + 106 -> 106
Job 0 Operation 0 on Machine 0 : 60 + 73 -> 133
Job 3 Operation 1 on Machine 1 : 106 + 51 -> 157
Job 1 Operation 1 on Machine 0 : 133 + 86 -> 219
Job 0 Operation 1 on Machine 1 : 157 + 18 -> 175
Job 2 Operation 0 on Machine 1 : 175 + 115 -> 290
Job 4 Operation 0 on Machine 0 : 219 + 150 -> 369
Job 2 Operation 1 on Machine 0 : 369 + 121 -> 490
Job 4 Operation 1 on Machine 1 : 369 + 81 -> 450
Makespan: 490.0, as it is the maximum end completion time of Operation 1
| null |
|
10 | 6 |
Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 278 mins.
Operation 1 on Machine 5 duration 191 mins.
Operation 2 on Machine 1 duration 412 mins.
Operation 3 on Machine 3 duration 147 mins.
Operation 4 on Machine 2 duration 50 mins.
Operation 5 on Machine 0 duration 257 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 328 mins.
Operation 1 on Machine 2 duration 249 mins.
Operation 2 on Machine 4 duration 259 mins.
Operation 3 on Machine 3 duration 123 mins.
Operation 4 on Machine 5 duration 26 mins.
Operation 5 on Machine 1 duration 315 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 327 mins.
Operation 1 on Machine 5 duration 405 mins.
Operation 2 on Machine 1 duration 236 mins.
Operation 3 on Machine 3 duration 130 mins.
Operation 4 on Machine 0 duration 74 mins.
Operation 5 on Machine 4 duration 343 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 152 mins.
Operation 1 on Machine 5 duration 81 mins.
Operation 2 on Machine 2 duration 140 mins.
Operation 3 on Machine 3 duration 361 mins.
Operation 4 on Machine 4 duration 182 mins.
Operation 5 on Machine 0 duration 281 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 84 mins.
Operation 1 on Machine 0 duration 83 mins.
Operation 2 on Machine 2 duration 1 mins.
Operation 3 on Machine 1 duration 201 mins.
Operation 4 on Machine 3 duration 374 mins.
Operation 5 on Machine 4 duration 146 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 126 mins.
Operation 1 on Machine 2 duration 327 mins.
Operation 2 on Machine 0 duration 177 mins.
Operation 3 on Machine 4 duration 202 mins.
Operation 4 on Machine 3 duration 320 mins.
Operation 5 on Machine 1 duration 229 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 159 mins.
Operation 1 on Machine 1 duration 317 mins.
Operation 2 on Machine 0 duration 351 mins.
Operation 3 on Machine 5 duration 380 mins.
Operation 4 on Machine 3 duration 44 mins.
Operation 5 on Machine 2 duration 383 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 1 duration 326 mins.
Operation 2 on Machine 2 duration 243 mins.
Operation 3 on Machine 4 duration 281 mins.
Operation 4 on Machine 3 duration 190 mins.
Operation 5 on Machine 5 duration 169 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 71 mins.
Operation 1 on Machine 2 duration 159 mins.
Operation 2 on Machine 4 duration 332 mins.
Operation 3 on Machine 0 duration 31 mins.
Operation 4 on Machine 5 duration 10 mins.
Operation 5 on Machine 3 duration 149 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 218 mins.
Operation 1 on Machine 4 duration 58 mins.
Operation 2 on Machine 5 duration 238 mins.
Operation 3 on Machine 3 duration 143 mins.
Operation 4 on Machine 0 duration 108 mins.
Operation 5 on Machine 1 duration 98 mins.
| null |
Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 328 mins.
Job 7 Operation 0 duration 4 mins.
Job 4 Operation 1 duration 83 mins.
Job 5 Operation 2 duration 177 mins.
Job 6 Operation 2 duration 351 mins.
Job 8 Operation 3 duration 31 mins.
Job 2 Operation 4 duration 74 mins.
Job 9 Operation 4 duration 108 mins.
Job 0 Operation 5 duration 257 mins.
Job 3 Operation 5 duration 281 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 152 mins.
Job 8 Operation 0 duration 71 mins.
Job 6 Operation 1 duration 317 mins.
Job 7 Operation 1 duration 326 mins.
Job 0 Operation 2 duration 412 mins.
Job 2 Operation 2 duration 236 mins.
Job 4 Operation 3 duration 201 mins.
Job 1 Operation 5 duration 315 mins.
Job 5 Operation 5 duration 229 mins.
Job 9 Operation 5 duration 98 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 327 mins.
Job 9 Operation 0 duration 218 mins.
Job 1 Operation 1 duration 249 mins.
Job 5 Operation 1 duration 327 mins.
Job 8 Operation 1 duration 159 mins.
Job 3 Operation 2 duration 140 mins.
Job 4 Operation 2 duration 1 mins.
Job 7 Operation 2 duration 243 mins.
Job 0 Operation 4 duration 50 mins.
Job 6 Operation 5 duration 383 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 3 duration 147 mins.
Job 1 Operation 3 duration 123 mins.
Job 2 Operation 3 duration 130 mins.
Job 3 Operation 3 duration 361 mins.
Job 9 Operation 3 duration 143 mins.
Job 4 Operation 4 duration 374 mins.
Job 5 Operation 4 duration 320 mins.
Job 6 Operation 4 duration 44 mins.
Job 7 Operation 4 duration 190 mins.
Job 8 Operation 5 duration 149 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 278 mins.
Job 6 Operation 0 duration 159 mins.
Job 9 Operation 1 duration 58 mins.
Job 1 Operation 2 duration 259 mins.
Job 8 Operation 2 duration 332 mins.
Job 5 Operation 3 duration 202 mins.
Job 7 Operation 3 duration 281 mins.
Job 3 Operation 4 duration 182 mins.
Job 2 Operation 5 duration 343 mins.
Job 4 Operation 5 duration 146 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 0 duration 84 mins.
Job 5 Operation 0 duration 126 mins.
Job 0 Operation 1 duration 191 mins.
Job 2 Operation 1 duration 405 mins.
Job 3 Operation 1 duration 81 mins.
Job 9 Operation 2 duration 238 mins.
Job 6 Operation 3 duration 380 mins.
Job 1 Operation 4 duration 26 mins.
Job 8 Operation 4 duration 10 mins.
Job 7 Operation 5 duration 169 mins.
| null |
Solution:
Job 7 Operation 0 on Machine 0 : 0 + 4 -> 4
Job 3 Operation 0 on Machine 1 : 0 + 152 -> 152
Job 9 Operation 0 on Machine 2 : 0 + 218 -> 218
Job 6 Operation 0 on Machine 4 : 0 + 159 -> 159
Job 4 Operation 0 on Machine 5 : 0 + 84 -> 84
Job 4 Operation 1 on Machine 0 : 84 + 83 -> 167
Job 8 Operation 0 on Machine 1 : 152 + 71 -> 223
Job 3 Operation 1 on Machine 5 : 152 + 81 -> 233
Job 0 Operation 0 on Machine 4 : 159 + 278 -> 437
Job 1 Operation 0 on Machine 0 : 167 + 328 -> 495
Job 4 Operation 2 on Machine 2 : 218 + 1 -> 219
Job 6 Operation 1 on Machine 1 : 223 + 317 -> 540
Job 3 Operation 2 on Machine 2 : 233 + 140 -> 373
Job 5 Operation 0 on Machine 5 : 233 + 126 -> 359
Job 8 Operation 1 on Machine 2 : 373 + 159 -> 532
Job 3 Operation 3 on Machine 3 : 373 + 361 -> 734
Job 9 Operation 1 on Machine 4 : 437 + 58 -> 495
Job 9 Operation 2 on Machine 5 : 495 + 238 -> 733
Job 5 Operation 1 on Machine 2 : 532 + 327 -> 859
Job 8 Operation 2 on Machine 4 : 532 + 332 -> 864
Job 4 Operation 3 on Machine 1 : 540 + 201 -> 741
Job 0 Operation 1 on Machine 5 : 733 + 191 -> 924
Job 9 Operation 3 on Machine 3 : 734 + 143 -> 877
Job 7 Operation 1 on Machine 1 : 741 + 326 -> 1067
Job 5 Operation 2 on Machine 0 : 859 + 177 -> 1036
Job 2 Operation 0 on Machine 2 : 859 + 327 -> 1186
Job 3 Operation 4 on Machine 4 : 864 + 182 -> 1046
Job 4 Operation 4 on Machine 3 : 877 + 374 -> 1251
Job 6 Operation 2 on Machine 0 : 1036 + 351 -> 1387
Job 5 Operation 3 on Machine 4 : 1046 + 202 -> 1248
Job 0 Operation 2 on Machine 1 : 1067 + 412 -> 1479
Job 1 Operation 1 on Machine 2 : 1186 + 249 -> 1435
Job 2 Operation 1 on Machine 5 : 1186 + 405 -> 1591
Job 5 Operation 4 on Machine 3 : 1251 + 320 -> 1571
Job 4 Operation 5 on Machine 4 : 1251 + 146 -> 1397
Job 9 Operation 4 on Machine 0 : 1387 + 108 -> 1495
Job 7 Operation 2 on Machine 2 : 1435 + 243 -> 1678
Job 1 Operation 2 on Machine 4 : 1435 + 259 -> 1694
Job 3 Operation 5 on Machine 0 : 1495 + 281 -> 1776
Job 9 Operation 5 on Machine 1 : 1495 + 98 -> 1593
Job 0 Operation 3 on Machine 3 : 1571 + 147 -> 1718
Job 6 Operation 3 on Machine 5 : 1591 + 380 -> 1971
Job 2 Operation 2 on Machine 1 : 1593 + 236 -> 1829
Job 7 Operation 3 on Machine 4 : 1694 + 281 -> 1975
Job 0 Operation 4 on Machine 2 : 1718 + 50 -> 1768
Job 1 Operation 3 on Machine 3 : 1718 + 123 -> 1841
Job 8 Operation 3 on Machine 0 : 1776 + 31 -> 1807
Job 5 Operation 5 on Machine 1 : 1829 + 229 -> 2058
Job 2 Operation 3 on Machine 3 : 1841 + 130 -> 1971
Job 2 Operation 4 on Machine 0 : 1971 + 74 -> 2045
Job 6 Operation 4 on Machine 3 : 1971 + 44 -> 2015
Job 8 Operation 4 on Machine 5 : 1971 + 10 -> 1981
Job 1 Operation 4 on Machine 5 : 1981 + 26 -> 2007
Job 6 Operation 5 on Machine 2 : 2015 + 383 -> 2398
Job 7 Operation 4 on Machine 3 : 2015 + 190 -> 2205
Job 0 Operation 5 on Machine 0 : 2045 + 257 -> 2302
Job 2 Operation 5 on Machine 4 : 2045 + 343 -> 2388
Job 1 Operation 5 on Machine 1 : 2058 + 315 -> 2373
Job 8 Operation 5 on Machine 3 : 2205 + 149 -> 2354
Job 7 Operation 5 on Machine 5 : 2205 + 169 -> 2374
Makespan: 2398.0, as it is the maximum end completion time of Operation 5
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 9 duration 48 mins.
Operation 1 on Machine 4 duration 119 mins.
Operation 2 on Machine 7 duration 338 mins.
Operation 3 on Machine 2 duration 13 mins.
Operation 4 on Machine 10 duration 125 mins.
Operation 5 on Machine 1 duration 151 mins.
Operation 6 on Machine 5 duration 349 mins.
Operation 7 on Machine 0 duration 127 mins.
Operation 8 on Machine 6 duration 302 mins.
Operation 9 on Machine 8 duration 50 mins.
Operation 10 on Machine 3 duration 305 mins.
Operation 11 on Machine 11 duration 113 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 19 mins.
Operation 1 on Machine 1 duration 204 mins.
Operation 2 on Machine 6 duration 263 mins.
Operation 3 on Machine 10 duration 177 mins.
Operation 4 on Machine 3 duration 55 mins.
Operation 5 on Machine 5 duration 137 mins.
Operation 6 on Machine 11 duration 23 mins.
Operation 7 on Machine 9 duration 201 mins.
Operation 8 on Machine 4 duration 28 mins.
Operation 9 on Machine 8 duration 76 mins.
Operation 10 on Machine 2 duration 27 mins.
Operation 11 on Machine 7 duration 284 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 11 duration 286 mins.
Operation 1 on Machine 0 duration 184 mins.
Operation 2 on Machine 3 duration 16 mins.
Operation 3 on Machine 9 duration 268 mins.
Operation 4 on Machine 8 duration 7 mins.
Operation 5 on Machine 2 duration 107 mins.
Operation 6 on Machine 10 duration 305 mins.
Operation 7 on Machine 5 duration 14 mins.
Operation 8 on Machine 1 duration 281 mins.
Operation 9 on Machine 6 duration 121 mins.
Operation 10 on Machine 7 duration 306 mins.
Operation 11 on Machine 4 duration 1 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 262 mins.
Operation 1 on Machine 1 duration 78 mins.
Operation 2 on Machine 11 duration 339 mins.
Operation 3 on Machine 9 duration 232 mins.
Operation 4 on Machine 7 duration 217 mins.
Operation 5 on Machine 0 duration 105 mins.
Operation 6 on Machine 4 duration 310 mins.
Operation 7 on Machine 2 duration 281 mins.
Operation 8 on Machine 8 duration 332 mins.
Operation 9 on Machine 10 duration 332 mins.
Operation 10 on Machine 6 duration 13 mins.
Operation 11 on Machine 3 duration 47 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 31 mins.
Operation 1 on Machine 4 duration 31 mins.
Operation 2 on Machine 6 duration 18 mins.
Operation 3 on Machine 7 duration 295 mins.
Operation 4 on Machine 9 duration 209 mins.
Operation 5 on Machine 10 duration 189 mins.
Operation 6 on Machine 5 duration 202 mins.
Operation 7 on Machine 1 duration 210 mins.
Operation 8 on Machine 2 duration 79 mins.
Operation 9 on Machine 0 duration 248 mins.
Operation 10 on Machine 11 duration 77 mins.
Operation 11 on Machine 8 duration 96 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 190 mins.
Operation 1 on Machine 9 duration 80 mins.
Operation 2 on Machine 8 duration 136 mins.
Operation 3 on Machine 0 duration 92 mins.
Operation 4 on Machine 5 duration 162 mins.
Operation 5 on Machine 10 duration 37 mins.
Operation 6 on Machine 2 duration 236 mins.
Operation 7 on Machine 7 duration 280 mins.
Operation 8 on Machine 1 duration 266 mins.
Operation 9 on Machine 6 duration 210 mins.
Operation 10 on Machine 3 duration 160 mins.
Operation 11 on Machine 11 duration 5 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 95 mins.
Operation 1 on Machine 3 duration 119 mins.
Operation 2 on Machine 11 duration 230 mins.
Operation 3 on Machine 8 duration 344 mins.
Operation 4 on Machine 5 duration 211 mins.
Operation 5 on Machine 4 duration 290 mins.
Operation 6 on Machine 10 duration 268 mins.
Operation 7 on Machine 2 duration 11 mins.
Operation 8 on Machine 7 duration 192 mins.
Operation 9 on Machine 1 duration 297 mins.
Operation 10 on Machine 9 duration 28 mins.
Operation 11 on Machine 0 duration 78 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 53 mins.
Operation 1 on Machine 4 duration 212 mins.
Operation 2 on Machine 0 duration 324 mins.
Operation 3 on Machine 8 duration 208 mins.
Operation 4 on Machine 7 duration 210 mins.
Operation 5 on Machine 6 duration 77 mins.
Operation 6 on Machine 5 duration 327 mins.
Operation 7 on Machine 2 duration 338 mins.
Operation 8 on Machine 10 duration 177 mins.
Operation 9 on Machine 9 duration 38 mins.
Operation 10 on Machine 3 duration 77 mins.
Operation 11 on Machine 11 duration 66 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 210 mins.
Operation 1 on Machine 8 duration 262 mins.
Operation 2 on Machine 5 duration 301 mins.
Operation 3 on Machine 3 duration 309 mins.
Operation 4 on Machine 10 duration 262 mins.
Operation 5 on Machine 2 duration 172 mins.
Operation 6 on Machine 9 duration 327 mins.
Operation 7 on Machine 7 duration 18 mins.
Operation 8 on Machine 1 duration 295 mins.
Operation 9 on Machine 0 duration 35 mins.
Operation 10 on Machine 6 duration 69 mins.
Operation 11 on Machine 11 duration 24 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 243 mins.
Operation 1 on Machine 3 duration 135 mins.
Operation 2 on Machine 4 duration 283 mins.
Operation 3 on Machine 5 duration 337 mins.
Operation 4 on Machine 2 duration 165 mins.
Operation 5 on Machine 6 duration 90 mins.
Operation 6 on Machine 11 duration 40 mins.
Operation 7 on Machine 0 duration 224 mins.
Operation 8 on Machine 9 duration 211 mins.
Operation 9 on Machine 10 duration 182 mins.
Operation 10 on Machine 7 duration 60 mins.
Operation 11 on Machine 8 duration 122 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 4 duration 188 mins.
Operation 1 on Machine 3 duration 33 mins.
Operation 2 on Machine 10 duration 87 mins.
Operation 3 on Machine 8 duration 3 mins.
Operation 4 on Machine 0 duration 72 mins.
Operation 5 on Machine 1 duration 141 mins.
Operation 6 on Machine 9 duration 271 mins.
Operation 7 on Machine 2 duration 332 mins.
Operation 8 on Machine 6 duration 236 mins.
Operation 9 on Machine 5 duration 65 mins.
Operation 10 on Machine 7 duration 162 mins.
Operation 11 on Machine 11 duration 134 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 9 duration 199 mins.
Operation 1 on Machine 5 duration 311 mins.
Operation 2 on Machine 6 duration 282 mins.
Operation 3 on Machine 0 duration 3 mins.
Operation 4 on Machine 4 duration 84 mins.
Operation 5 on Machine 8 duration 229 mins.
Operation 6 on Machine 10 duration 259 mins.
Operation 7 on Machine 3 duration 158 mins.
Operation 8 on Machine 7 duration 262 mins.
Operation 9 on Machine 1 duration 209 mins.
Operation 10 on Machine 2 duration 319 mins.
Operation 11 on Machine 11 duration 89 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 19 mins.
Job 2 Operation 1 duration 184 mins.
Job 7 Operation 2 duration 324 mins.
Job 5 Operation 3 duration 92 mins.
Job 11 Operation 3 duration 3 mins.
Job 10 Operation 4 duration 72 mins.
Job 3 Operation 5 duration 105 mins.
Job 0 Operation 7 duration 127 mins.
Job 9 Operation 7 duration 224 mins.
Job 4 Operation 9 duration 248 mins.
Job 8 Operation 9 duration 35 mins.
Job 6 Operation 11 duration 78 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 0 duration 53 mins.
Job 9 Operation 0 duration 243 mins.
Job 1 Operation 1 duration 204 mins.
Job 3 Operation 1 duration 78 mins.
Job 0 Operation 5 duration 151 mins.
Job 10 Operation 5 duration 141 mins.
Job 4 Operation 7 duration 210 mins.
Job 2 Operation 8 duration 281 mins.
Job 5 Operation 8 duration 266 mins.
Job 8 Operation 8 duration 295 mins.
Job 6 Operation 9 duration 297 mins.
Job 11 Operation 9 duration 209 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 3 duration 13 mins.
Job 9 Operation 4 duration 165 mins.
Job 2 Operation 5 duration 107 mins.
Job 8 Operation 5 duration 172 mins.
Job 5 Operation 6 duration 236 mins.
Job 3 Operation 7 duration 281 mins.
Job 6 Operation 7 duration 11 mins.
Job 7 Operation 7 duration 338 mins.
Job 10 Operation 7 duration 332 mins.
Job 4 Operation 8 duration 79 mins.
Job 1 Operation 10 duration 27 mins.
Job 11 Operation 10 duration 319 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 31 mins.
Job 6 Operation 1 duration 119 mins.
Job 9 Operation 1 duration 135 mins.
Job 10 Operation 1 duration 33 mins.
Job 2 Operation 2 duration 16 mins.
Job 8 Operation 3 duration 309 mins.
Job 1 Operation 4 duration 55 mins.
Job 11 Operation 7 duration 158 mins.
Job 0 Operation 10 duration 305 mins.
Job 5 Operation 10 duration 160 mins.
Job 7 Operation 10 duration 77 mins.
Job 3 Operation 11 duration 47 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 190 mins.
Job 8 Operation 0 duration 210 mins.
Job 10 Operation 0 duration 188 mins.
Job 0 Operation 1 duration 119 mins.
Job 4 Operation 1 duration 31 mins.
Job 7 Operation 1 duration 212 mins.
Job 9 Operation 2 duration 283 mins.
Job 11 Operation 4 duration 84 mins.
Job 6 Operation 5 duration 290 mins.
Job 3 Operation 6 duration 310 mins.
Job 1 Operation 8 duration 28 mins.
Job 2 Operation 11 duration 1 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 262 mins.
Job 11 Operation 1 duration 311 mins.
Job 8 Operation 2 duration 301 mins.
Job 9 Operation 3 duration 337 mins.
Job 5 Operation 4 duration 162 mins.
Job 6 Operation 4 duration 211 mins.
Job 1 Operation 5 duration 137 mins.
Job 0 Operation 6 duration 349 mins.
Job 4 Operation 6 duration 202 mins.
Job 7 Operation 6 duration 327 mins.
Job 2 Operation 7 duration 14 mins.
Job 10 Operation 9 duration 65 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 0 duration 95 mins.
Job 1 Operation 2 duration 263 mins.
Job 4 Operation 2 duration 18 mins.
Job 11 Operation 2 duration 282 mins.
Job 7 Operation 5 duration 77 mins.
Job 9 Operation 5 duration 90 mins.
Job 0 Operation 8 duration 302 mins.
Job 10 Operation 8 duration 236 mins.
Job 2 Operation 9 duration 121 mins.
Job 5 Operation 9 duration 210 mins.
Job 3 Operation 10 duration 13 mins.
Job 8 Operation 10 duration 69 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 2 duration 338 mins.
Job 4 Operation 3 duration 295 mins.
Job 3 Operation 4 duration 217 mins.
Job 7 Operation 4 duration 210 mins.
Job 5 Operation 7 duration 280 mins.
Job 8 Operation 7 duration 18 mins.
Job 6 Operation 8 duration 192 mins.
Job 11 Operation 8 duration 262 mins.
Job 2 Operation 10 duration 306 mins.
Job 9 Operation 10 duration 60 mins.
Job 10 Operation 10 duration 162 mins.
Job 1 Operation 11 duration 284 mins.
Machine 8 is used for the following Operations:
Job 8 Operation 1 duration 262 mins.
Job 5 Operation 2 duration 136 mins.
Job 6 Operation 3 duration 344 mins.
Job 7 Operation 3 duration 208 mins.
Job 10 Operation 3 duration 3 mins.
Job 2 Operation 4 duration 7 mins.
Job 11 Operation 5 duration 229 mins.
Job 3 Operation 8 duration 332 mins.
Job 0 Operation 9 duration 50 mins.
Job 1 Operation 9 duration 76 mins.
Job 4 Operation 11 duration 96 mins.
Job 9 Operation 11 duration 122 mins.
Machine 9 is used for the following Operations:
Job 0 Operation 0 duration 48 mins.
Job 11 Operation 0 duration 199 mins.
Job 5 Operation 1 duration 80 mins.
Job 2 Operation 3 duration 268 mins.
Job 3 Operation 3 duration 232 mins.
Job 4 Operation 4 duration 209 mins.
Job 8 Operation 6 duration 327 mins.
Job 10 Operation 6 duration 271 mins.
Job 1 Operation 7 duration 201 mins.
Job 9 Operation 8 duration 211 mins.
Job 7 Operation 9 duration 38 mins.
Job 6 Operation 10 duration 28 mins.
Machine 10 is used for the following Operations:
Job 10 Operation 2 duration 87 mins.
Job 1 Operation 3 duration 177 mins.
Job 0 Operation 4 duration 125 mins.
Job 8 Operation 4 duration 262 mins.
Job 4 Operation 5 duration 189 mins.
Job 5 Operation 5 duration 37 mins.
Job 2 Operation 6 duration 305 mins.
Job 6 Operation 6 duration 268 mins.
Job 11 Operation 6 duration 259 mins.
Job 7 Operation 8 duration 177 mins.
Job 3 Operation 9 duration 332 mins.
Job 9 Operation 9 duration 182 mins.
Machine 11 is used for the following Operations:
Job 2 Operation 0 duration 286 mins.
Job 3 Operation 2 duration 339 mins.
Job 6 Operation 2 duration 230 mins.
Job 1 Operation 6 duration 23 mins.
Job 9 Operation 6 duration 40 mins.
Job 4 Operation 10 duration 77 mins.
Job 0 Operation 11 duration 113 mins.
Job 5 Operation 11 duration 5 mins.
Job 7 Operation 11 duration 66 mins.
Job 8 Operation 11 duration 24 mins.
Job 10 Operation 11 duration 134 mins.
Job 11 Operation 11 duration 89 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 19 -> 19
Job 4 Operation 0 on Machine 3 : 0 + 31 -> 31
Job 5 Operation 0 on Machine 4 : 0 + 190 -> 190
Job 3 Operation 0 on Machine 5 : 0 + 262 -> 262
Job 6 Operation 0 on Machine 6 : 0 + 95 -> 95
Job 11 Operation 0 on Machine 9 : 0 + 199 -> 199
Job 2 Operation 0 on Machine 11 : 0 + 286 -> 286
Job 1 Operation 1 on Machine 1 : 19 + 204 -> 223
Job 6 Operation 1 on Machine 3 : 95 + 119 -> 214
Job 4 Operation 1 on Machine 4 : 190 + 31 -> 221
Job 0 Operation 0 on Machine 9 : 199 + 48 -> 247
Job 8 Operation 0 on Machine 4 : 221 + 210 -> 431
Job 4 Operation 2 on Machine 6 : 221 + 18 -> 239
Job 1 Operation 2 on Machine 6 : 239 + 263 -> 502
Job 4 Operation 3 on Machine 7 : 239 + 295 -> 534
Job 5 Operation 1 on Machine 9 : 247 + 80 -> 327
Job 3 Operation 1 on Machine 1 : 262 + 78 -> 340
Job 11 Operation 1 on Machine 5 : 262 + 311 -> 573
Job 2 Operation 1 on Machine 0 : 286 + 184 -> 470
Job 5 Operation 2 on Machine 8 : 327 + 136 -> 463
Job 9 Operation 0 on Machine 1 : 340 + 243 -> 583
Job 3 Operation 2 on Machine 11 : 340 + 339 -> 679
Job 10 Operation 0 on Machine 4 : 431 + 188 -> 619
Job 8 Operation 1 on Machine 8 : 463 + 262 -> 725
Job 5 Operation 3 on Machine 0 : 470 + 92 -> 562
Job 2 Operation 2 on Machine 3 : 470 + 16 -> 486
Job 2 Operation 3 on Machine 9 : 486 + 268 -> 754
Job 1 Operation 3 on Machine 10 : 502 + 177 -> 679
Job 5 Operation 4 on Machine 5 : 573 + 162 -> 735
Job 11 Operation 2 on Machine 6 : 573 + 282 -> 855
Job 7 Operation 0 on Machine 1 : 583 + 53 -> 636
Job 10 Operation 1 on Machine 3 : 619 + 33 -> 652
Job 0 Operation 1 on Machine 4 : 619 + 119 -> 738
Job 9 Operation 1 on Machine 3 : 652 + 135 -> 787
Job 10 Operation 2 on Machine 10 : 679 + 87 -> 766
Job 6 Operation 2 on Machine 11 : 679 + 230 -> 909
Job 8 Operation 2 on Machine 5 : 735 + 301 -> 1036
Job 0 Operation 2 on Machine 7 : 738 + 338 -> 1076
Job 2 Operation 4 on Machine 8 : 754 + 7 -> 761
Job 3 Operation 3 on Machine 9 : 754 + 232 -> 986
Job 2 Operation 5 on Machine 2 : 761 + 107 -> 868
Job 10 Operation 3 on Machine 8 : 766 + 3 -> 769
Job 5 Operation 5 on Machine 10 : 766 + 37 -> 803
Job 10 Operation 4 on Machine 0 : 769 + 72 -> 841
Job 1 Operation 4 on Machine 3 : 787 + 55 -> 842
Job 10 Operation 5 on Machine 1 : 841 + 141 -> 982
Job 11 Operation 3 on Machine 0 : 855 + 3 -> 858
Job 11 Operation 4 on Machine 4 : 858 + 84 -> 942
Job 5 Operation 6 on Machine 2 : 868 + 236 -> 1104
Job 2 Operation 6 on Machine 10 : 868 + 305 -> 1173
Job 9 Operation 2 on Machine 4 : 942 + 283 -> 1225
Job 11 Operation 5 on Machine 8 : 942 + 229 -> 1171
Job 10 Operation 6 on Machine 9 : 986 + 271 -> 1257
Job 8 Operation 3 on Machine 3 : 1036 + 309 -> 1345
Job 1 Operation 5 on Machine 5 : 1036 + 137 -> 1173
Job 3 Operation 4 on Machine 7 : 1076 + 217 -> 1293
Job 0 Operation 3 on Machine 2 : 1104 + 13 -> 1117
Job 6 Operation 3 on Machine 8 : 1171 + 344 -> 1515
Job 2 Operation 7 on Machine 5 : 1173 + 14 -> 1187
Job 0 Operation 4 on Machine 10 : 1173 + 125 -> 1298
Job 1 Operation 6 on Machine 11 : 1173 + 23 -> 1196
Job 2 Operation 8 on Machine 1 : 1187 + 281 -> 1468
Job 7 Operation 1 on Machine 4 : 1225 + 212 -> 1437
Job 9 Operation 3 on Machine 5 : 1225 + 337 -> 1562
Job 10 Operation 7 on Machine 2 : 1257 + 332 -> 1589
Job 4 Operation 4 on Machine 9 : 1257 + 209 -> 1466
Job 3 Operation 5 on Machine 0 : 1293 + 105 -> 1398
Job 5 Operation 7 on Machine 7 : 1293 + 280 -> 1573
Job 11 Operation 6 on Machine 10 : 1298 + 259 -> 1557
Job 7 Operation 2 on Machine 0 : 1437 + 324 -> 1761
Job 3 Operation 6 on Machine 4 : 1437 + 310 -> 1747
Job 1 Operation 7 on Machine 9 : 1466 + 201 -> 1667
Job 0 Operation 5 on Machine 1 : 1468 + 151 -> 1619
Job 2 Operation 9 on Machine 6 : 1468 + 121 -> 1589
Job 11 Operation 7 on Machine 3 : 1557 + 158 -> 1715
Job 8 Operation 4 on Machine 10 : 1557 + 262 -> 1819
Job 6 Operation 4 on Machine 5 : 1562 + 211 -> 1773
Job 9 Operation 4 on Machine 2 : 1589 + 165 -> 1754
Job 5 Operation 8 on Machine 1 : 1619 + 266 -> 1885
Job 11 Operation 8 on Machine 7 : 1715 + 262 -> 1977
Job 3 Operation 7 on Machine 2 : 1754 + 281 -> 2035
Job 9 Operation 5 on Machine 6 : 1754 + 90 -> 1844
Job 7 Operation 3 on Machine 8 : 1761 + 208 -> 1969
Job 6 Operation 5 on Machine 4 : 1773 + 290 -> 2063
Job 0 Operation 6 on Machine 5 : 1773 + 349 -> 2122
Job 4 Operation 5 on Machine 10 : 1819 + 189 -> 2008
Job 10 Operation 8 on Machine 6 : 1844 + 236 -> 2080
Job 9 Operation 6 on Machine 11 : 1844 + 40 -> 1884
Job 9 Operation 7 on Machine 0 : 1884 + 224 -> 2108
Job 11 Operation 9 on Machine 1 : 1977 + 209 -> 2186
Job 7 Operation 4 on Machine 7 : 1977 + 210 -> 2187
Job 8 Operation 5 on Machine 2 : 2035 + 172 -> 2207
Job 3 Operation 8 on Machine 8 : 2035 + 332 -> 2367
Job 1 Operation 8 on Machine 4 : 2063 + 28 -> 2091
Job 6 Operation 6 on Machine 10 : 2063 + 268 -> 2331
Job 0 Operation 7 on Machine 0 : 2122 + 127 -> 2249
Job 4 Operation 6 on Machine 5 : 2122 + 202 -> 2324
Job 7 Operation 5 on Machine 6 : 2187 + 77 -> 2264
Job 2 Operation 10 on Machine 7 : 2187 + 306 -> 2493
Job 11 Operation 10 on Machine 2 : 2207 + 319 -> 2526
Job 8 Operation 6 on Machine 9 : 2207 + 327 -> 2534
Job 0 Operation 8 on Machine 6 : 2264 + 302 -> 2566
Job 4 Operation 7 on Machine 1 : 2324 + 210 -> 2534
Job 7 Operation 6 on Machine 5 : 2324 + 327 -> 2651
Job 3 Operation 9 on Machine 10 : 2367 + 332 -> 2699
Job 2 Operation 11 on Machine 4 : 2493 + 1 -> 2494
Job 6 Operation 7 on Machine 2 : 2526 + 11 -> 2537
Job 11 Operation 11 on Machine 11 : 2526 + 89 -> 2615
Job 8 Operation 7 on Machine 7 : 2534 + 18 -> 2552
Job 9 Operation 8 on Machine 9 : 2534 + 211 -> 2745
Job 4 Operation 8 on Machine 2 : 2537 + 79 -> 2616
Job 8 Operation 8 on Machine 1 : 2552 + 295 -> 2847
Job 6 Operation 8 on Machine 7 : 2552 + 192 -> 2744
Job 5 Operation 9 on Machine 6 : 2566 + 210 -> 2776
Job 0 Operation 9 on Machine 8 : 2566 + 50 -> 2616
Job 4 Operation 9 on Machine 0 : 2616 + 248 -> 2864
Job 0 Operation 10 on Machine 3 : 2616 + 305 -> 2921
Job 1 Operation 9 on Machine 8 : 2616 + 76 -> 2692
Job 7 Operation 7 on Machine 2 : 2651 + 338 -> 2989
Job 10 Operation 9 on Machine 5 : 2651 + 65 -> 2716
Job 10 Operation 10 on Machine 7 : 2744 + 162 -> 2906
Job 9 Operation 9 on Machine 10 : 2745 + 182 -> 2927
Job 6 Operation 9 on Machine 1 : 2847 + 297 -> 3144
Job 8 Operation 9 on Machine 0 : 2864 + 35 -> 2899
Job 4 Operation 10 on Machine 11 : 2864 + 77 -> 2941
Job 8 Operation 10 on Machine 6 : 2899 + 69 -> 2968
Job 5 Operation 10 on Machine 3 : 2921 + 160 -> 3081
Job 9 Operation 10 on Machine 7 : 2927 + 60 -> 2987
Job 4 Operation 11 on Machine 8 : 2941 + 96 -> 3037
Job 0 Operation 11 on Machine 11 : 2941 + 113 -> 3054
Job 3 Operation 10 on Machine 6 : 2968 + 13 -> 2981
Job 1 Operation 10 on Machine 2 : 2989 + 27 -> 3016
Job 7 Operation 8 on Machine 10 : 2989 + 177 -> 3166
Job 1 Operation 11 on Machine 7 : 3016 + 284 -> 3300
Job 9 Operation 11 on Machine 8 : 3037 + 122 -> 3159
Job 8 Operation 11 on Machine 11 : 3054 + 24 -> 3078
Job 10 Operation 11 on Machine 11 : 3078 + 134 -> 3212
Job 7 Operation 9 on Machine 9 : 3166 + 38 -> 3204
Job 7 Operation 10 on Machine 3 : 3204 + 77 -> 3281
Job 6 Operation 10 on Machine 9 : 3204 + 28 -> 3232
Job 5 Operation 11 on Machine 11 : 3212 + 5 -> 3217
Job 6 Operation 11 on Machine 0 : 3232 + 78 -> 3310
Job 3 Operation 11 on Machine 3 : 3281 + 47 -> 3328
Job 7 Operation 11 on Machine 11 : 3281 + 66 -> 3347
Makespan: 3347.0, as it is the maximum end completion time of Operation 11
| null |
|
9 | 8 |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 389 mins.
Operation 1 on Machine 7 duration 72 mins.
Operation 2 on Machine 6 duration 431 mins.
Operation 3 on Machine 1 duration 202 mins.
Operation 4 on Machine 4 duration 123 mins.
Operation 5 on Machine 3 duration 354 mins.
Operation 6 on Machine 2 duration 429 mins.
Operation 7 on Machine 0 duration 131 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 10 mins.
Operation 1 on Machine 3 duration 362 mins.
Operation 2 on Machine 4 duration 447 mins.
Operation 3 on Machine 2 duration 128 mins.
Operation 4 on Machine 7 duration 288 mins.
Operation 5 on Machine 5 duration 36 mins.
Operation 6 on Machine 0 duration 388 mins.
Operation 7 on Machine 1 duration 14 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 58 mins.
Operation 1 on Machine 6 duration 96 mins.
Operation 2 on Machine 3 duration 55 mins.
Operation 3 on Machine 2 duration 101 mins.
Operation 4 on Machine 0 duration 284 mins.
Operation 5 on Machine 1 duration 69 mins.
Operation 6 on Machine 7 duration 41 mins.
Operation 7 on Machine 5 duration 455 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 206 mins.
Operation 1 on Machine 5 duration 41 mins.
Operation 2 on Machine 6 duration 198 mins.
Operation 3 on Machine 0 duration 401 mins.
Operation 4 on Machine 4 duration 415 mins.
Operation 5 on Machine 7 duration 209 mins.
Operation 6 on Machine 3 duration 275 mins.
Operation 7 on Machine 2 duration 100 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 247 mins.
Operation 1 on Machine 1 duration 284 mins.
Operation 2 on Machine 7 duration 253 mins.
Operation 3 on Machine 6 duration 394 mins.
Operation 4 on Machine 3 duration 89 mins.
Operation 5 on Machine 0 duration 91 mins.
Operation 6 on Machine 5 duration 243 mins.
Operation 7 on Machine 4 duration 23 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 458 mins.
Operation 1 on Machine 7 duration 115 mins.
Operation 2 on Machine 6 duration 20 mins.
Operation 3 on Machine 1 duration 320 mins.
Operation 4 on Machine 5 duration 115 mins.
Operation 5 on Machine 4 duration 218 mins.
Operation 6 on Machine 0 duration 141 mins.
Operation 7 on Machine 3 duration 67 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 49 mins.
Operation 1 on Machine 6 duration 261 mins.
Operation 2 on Machine 4 duration 227 mins.
Operation 3 on Machine 2 duration 372 mins.
Operation 4 on Machine 7 duration 336 mins.
Operation 5 on Machine 0 duration 369 mins.
Operation 6 on Machine 1 duration 231 mins.
Operation 7 on Machine 5 duration 164 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 362 mins.
Operation 1 on Machine 2 duration 286 mins.
Operation 2 on Machine 6 duration 64 mins.
Operation 3 on Machine 1 duration 127 mins.
Operation 4 on Machine 5 duration 48 mins.
Operation 5 on Machine 7 duration 175 mins.
Operation 6 on Machine 4 duration 395 mins.
Operation 7 on Machine 3 duration 177 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 300 mins.
Operation 1 on Machine 6 duration 409 mins.
Operation 2 on Machine 5 duration 90 mins.
Operation 3 on Machine 7 duration 430 mins.
Operation 4 on Machine 0 duration 89 mins.
Operation 5 on Machine 4 duration 42 mins.
Operation 6 on Machine 3 duration 429 mins.
Operation 7 on Machine 1 duration 392 mins.
| null |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 7 Operation 0 duration 362 mins.
Job 3 Operation 3 duration 401 mins.
Job 2 Operation 4 duration 284 mins.
Job 8 Operation 4 duration 89 mins.
Job 4 Operation 5 duration 91 mins.
Job 6 Operation 5 duration 369 mins.
Job 1 Operation 6 duration 388 mins.
Job 5 Operation 6 duration 141 mins.
Job 0 Operation 7 duration 131 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 206 mins.
Job 4 Operation 1 duration 284 mins.
Job 0 Operation 3 duration 202 mins.
Job 5 Operation 3 duration 320 mins.
Job 7 Operation 3 duration 127 mins.
Job 2 Operation 5 duration 69 mins.
Job 6 Operation 6 duration 231 mins.
Job 1 Operation 7 duration 14 mins.
Job 8 Operation 7 duration 392 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 247 mins.
Job 5 Operation 0 duration 458 mins.
Job 8 Operation 0 duration 300 mins.
Job 7 Operation 1 duration 286 mins.
Job 1 Operation 3 duration 128 mins.
Job 2 Operation 3 duration 101 mins.
Job 6 Operation 3 duration 372 mins.
Job 0 Operation 6 duration 429 mins.
Job 3 Operation 7 duration 100 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 49 mins.
Job 1 Operation 1 duration 362 mins.
Job 2 Operation 2 duration 55 mins.
Job 4 Operation 4 duration 89 mins.
Job 0 Operation 5 duration 354 mins.
Job 3 Operation 6 duration 275 mins.
Job 8 Operation 6 duration 429 mins.
Job 5 Operation 7 duration 67 mins.
Job 7 Operation 7 duration 177 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 58 mins.
Job 1 Operation 2 duration 447 mins.
Job 6 Operation 2 duration 227 mins.
Job 0 Operation 4 duration 123 mins.
Job 3 Operation 4 duration 415 mins.
Job 5 Operation 5 duration 218 mins.
Job 8 Operation 5 duration 42 mins.
Job 7 Operation 6 duration 395 mins.
Job 4 Operation 7 duration 23 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 389 mins.
Job 3 Operation 1 duration 41 mins.
Job 8 Operation 2 duration 90 mins.
Job 5 Operation 4 duration 115 mins.
Job 7 Operation 4 duration 48 mins.
Job 1 Operation 5 duration 36 mins.
Job 4 Operation 6 duration 243 mins.
Job 2 Operation 7 duration 455 mins.
Job 6 Operation 7 duration 164 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 10 mins.
Job 2 Operation 1 duration 96 mins.
Job 6 Operation 1 duration 261 mins.
Job 8 Operation 1 duration 409 mins.
Job 0 Operation 2 duration 431 mins.
Job 3 Operation 2 duration 198 mins.
Job 5 Operation 2 duration 20 mins.
Job 7 Operation 2 duration 64 mins.
Job 4 Operation 3 duration 394 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 1 duration 72 mins.
Job 5 Operation 1 duration 115 mins.
Job 4 Operation 2 duration 253 mins.
Job 8 Operation 3 duration 430 mins.
Job 1 Operation 4 duration 288 mins.
Job 6 Operation 4 duration 336 mins.
Job 3 Operation 5 duration 209 mins.
Job 7 Operation 5 duration 175 mins.
Job 2 Operation 6 duration 41 mins.
| null |
Solution:
Job 7 Operation 0 on Machine 0 : 0 + 362 -> 362
Job 3 Operation 0 on Machine 1 : 0 + 206 -> 206
Job 8 Operation 0 on Machine 2 : 0 + 300 -> 300
Job 6 Operation 0 on Machine 3 : 0 + 49 -> 49
Job 2 Operation 0 on Machine 4 : 0 + 58 -> 58
Job 1 Operation 0 on Machine 6 : 0 + 10 -> 10
Job 1 Operation 1 on Machine 3 : 49 + 362 -> 411
Job 6 Operation 1 on Machine 6 : 49 + 261 -> 310
Job 3 Operation 1 on Machine 5 : 206 + 41 -> 247
Job 0 Operation 0 on Machine 5 : 247 + 389 -> 636
Job 5 Operation 0 on Machine 2 : 300 + 458 -> 758
Job 6 Operation 2 on Machine 4 : 310 + 227 -> 537
Job 8 Operation 1 on Machine 6 : 310 + 409 -> 719
Job 1 Operation 2 on Machine 4 : 537 + 447 -> 984
Job 0 Operation 1 on Machine 7 : 636 + 72 -> 708
Job 8 Operation 2 on Machine 5 : 719 + 90 -> 809
Job 3 Operation 2 on Machine 6 : 719 + 198 -> 917
Job 4 Operation 0 on Machine 2 : 758 + 247 -> 1005
Job 5 Operation 1 on Machine 7 : 758 + 115 -> 873
Job 8 Operation 3 on Machine 7 : 873 + 430 -> 1303
Job 3 Operation 3 on Machine 0 : 917 + 401 -> 1318
Job 2 Operation 1 on Machine 6 : 917 + 96 -> 1013
Job 4 Operation 1 on Machine 1 : 1005 + 284 -> 1289
Job 6 Operation 3 on Machine 2 : 1005 + 372 -> 1377
Job 2 Operation 2 on Machine 3 : 1013 + 55 -> 1068
Job 5 Operation 2 on Machine 6 : 1013 + 20 -> 1033
Job 0 Operation 2 on Machine 6 : 1033 + 431 -> 1464
Job 5 Operation 3 on Machine 1 : 1289 + 320 -> 1609
Job 4 Operation 2 on Machine 7 : 1303 + 253 -> 1556
Job 8 Operation 4 on Machine 0 : 1318 + 89 -> 1407
Job 2 Operation 3 on Machine 2 : 1377 + 101 -> 1478
Job 8 Operation 5 on Machine 4 : 1407 + 42 -> 1449
Job 8 Operation 6 on Machine 3 : 1449 + 429 -> 1878
Job 3 Operation 4 on Machine 4 : 1449 + 415 -> 1864
Job 2 Operation 4 on Machine 0 : 1478 + 284 -> 1762
Job 7 Operation 1 on Machine 2 : 1478 + 286 -> 1764
Job 6 Operation 4 on Machine 7 : 1556 + 336 -> 1892
Job 0 Operation 3 on Machine 1 : 1609 + 202 -> 1811
Job 5 Operation 4 on Machine 5 : 1609 + 115 -> 1724
Job 1 Operation 3 on Machine 2 : 1764 + 128 -> 1892
Job 7 Operation 2 on Machine 6 : 1764 + 64 -> 1828
Job 2 Operation 5 on Machine 1 : 1811 + 69 -> 1880
Job 4 Operation 3 on Machine 6 : 1828 + 394 -> 2222
Job 0 Operation 4 on Machine 4 : 1864 + 123 -> 1987
Job 7 Operation 3 on Machine 1 : 1880 + 127 -> 2007
Job 6 Operation 5 on Machine 0 : 1892 + 369 -> 2261
Job 2 Operation 6 on Machine 7 : 1892 + 41 -> 1933
Job 1 Operation 4 on Machine 7 : 1933 + 288 -> 2221
Job 0 Operation 5 on Machine 3 : 1987 + 354 -> 2341
Job 5 Operation 5 on Machine 4 : 1987 + 218 -> 2205
Job 8 Operation 7 on Machine 1 : 2007 + 392 -> 2399
Job 7 Operation 4 on Machine 5 : 2007 + 48 -> 2055
Job 2 Operation 7 on Machine 5 : 2055 + 455 -> 2510
Job 7 Operation 5 on Machine 7 : 2221 + 175 -> 2396
Job 5 Operation 6 on Machine 0 : 2261 + 141 -> 2402
Job 0 Operation 6 on Machine 2 : 2341 + 429 -> 2770
Job 4 Operation 4 on Machine 3 : 2341 + 89 -> 2430
Job 7 Operation 6 on Machine 4 : 2396 + 395 -> 2791
Job 3 Operation 5 on Machine 7 : 2396 + 209 -> 2605
Job 6 Operation 6 on Machine 1 : 2399 + 231 -> 2630
Job 4 Operation 5 on Machine 0 : 2430 + 91 -> 2521
Job 5 Operation 7 on Machine 3 : 2430 + 67 -> 2497
Job 1 Operation 5 on Machine 5 : 2510 + 36 -> 2546
Job 1 Operation 6 on Machine 0 : 2546 + 388 -> 2934
Job 4 Operation 6 on Machine 5 : 2546 + 243 -> 2789
Job 3 Operation 6 on Machine 3 : 2605 + 275 -> 2880
Job 6 Operation 7 on Machine 5 : 2789 + 164 -> 2953
Job 4 Operation 7 on Machine 4 : 2791 + 23 -> 2814
Job 3 Operation 7 on Machine 2 : 2880 + 100 -> 2980
Job 7 Operation 7 on Machine 3 : 2880 + 177 -> 3057
Job 0 Operation 7 on Machine 0 : 2934 + 131 -> 3065
Job 1 Operation 7 on Machine 1 : 2934 + 14 -> 2948
Makespan: 3065.0, as it is the maximum end completion time of Operation 7
| null |
|
7 | 6 |
Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 47 mins.
Operation 1 on Machine 5 duration 17 mins.
Operation 2 on Machine 0 duration 44 mins.
Operation 3 on Machine 3 duration 24 mins.
Operation 4 on Machine 1 duration 51 mins.
Operation 5 on Machine 2 duration 40 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 3 mins.
Operation 1 on Machine 2 duration 18 mins.
Operation 2 on Machine 0 duration 47 mins.
Operation 3 on Machine 1 duration 18 mins.
Operation 4 on Machine 4 duration 20 mins.
Operation 5 on Machine 3 duration 24 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 30 mins.
Operation 1 on Machine 4 duration 19 mins.
Operation 2 on Machine 3 duration 46 mins.
Operation 3 on Machine 1 duration 52 mins.
Operation 4 on Machine 0 duration 1 mins.
Operation 5 on Machine 5 duration 42 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 17 mins.
Operation 1 on Machine 4 duration 37 mins.
Operation 2 on Machine 0 duration 28 mins.
Operation 3 on Machine 1 duration 12 mins.
Operation 4 on Machine 3 duration 43 mins.
Operation 5 on Machine 2 duration 5 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 25 mins.
Operation 1 on Machine 1 duration 25 mins.
Operation 2 on Machine 2 duration 5 mins.
Operation 3 on Machine 0 duration 45 mins.
Operation 4 on Machine 4 duration 44 mins.
Operation 5 on Machine 3 duration 15 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 18 mins.
Operation 1 on Machine 3 duration 41 mins.
Operation 2 on Machine 5 duration 10 mins.
Operation 3 on Machine 4 duration 22 mins.
Operation 4 on Machine 2 duration 21 mins.
Operation 5 on Machine 0 duration 39 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 45 mins.
Operation 1 on Machine 1 duration 10 mins.
Operation 2 on Machine 4 duration 15 mins.
Operation 3 on Machine 0 duration 5 mins.
Operation 4 on Machine 5 duration 15 mins.
Operation 5 on Machine 3 duration 36 mins.
| null |
Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 2 duration 44 mins.
Job 1 Operation 2 duration 47 mins.
Job 3 Operation 2 duration 28 mins.
Job 4 Operation 3 duration 45 mins.
Job 6 Operation 3 duration 5 mins.
Job 2 Operation 4 duration 1 mins.
Job 5 Operation 5 duration 39 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 18 mins.
Job 4 Operation 1 duration 25 mins.
Job 6 Operation 1 duration 10 mins.
Job 1 Operation 3 duration 18 mins.
Job 2 Operation 3 duration 52 mins.
Job 3 Operation 3 duration 12 mins.
Job 0 Operation 4 duration 51 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 30 mins.
Job 6 Operation 0 duration 45 mins.
Job 1 Operation 1 duration 18 mins.
Job 4 Operation 2 duration 5 mins.
Job 5 Operation 4 duration 21 mins.
Job 0 Operation 5 duration 40 mins.
Job 3 Operation 5 duration 5 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 1 duration 41 mins.
Job 2 Operation 2 duration 46 mins.
Job 0 Operation 3 duration 24 mins.
Job 3 Operation 4 duration 43 mins.
Job 1 Operation 5 duration 24 mins.
Job 4 Operation 5 duration 15 mins.
Job 6 Operation 5 duration 36 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 47 mins.
Job 2 Operation 1 duration 19 mins.
Job 3 Operation 1 duration 37 mins.
Job 6 Operation 2 duration 15 mins.
Job 5 Operation 3 duration 22 mins.
Job 1 Operation 4 duration 20 mins.
Job 4 Operation 4 duration 44 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 3 mins.
Job 3 Operation 0 duration 17 mins.
Job 4 Operation 0 duration 25 mins.
Job 0 Operation 1 duration 17 mins.
Job 5 Operation 2 duration 10 mins.
Job 6 Operation 4 duration 15 mins.
Job 2 Operation 5 duration 42 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 1 : 0 + 18 -> 18
Job 0 Operation 0 on Machine 4 : 0 + 47 -> 47
Job 1 Operation 0 on Machine 5 : 0 + 3 -> 3
Job 1 Operation 1 on Machine 2 : 3 + 18 -> 21
Job 4 Operation 0 on Machine 5 : 3 + 25 -> 28
Job 5 Operation 1 on Machine 3 : 18 + 41 -> 59
Job 1 Operation 2 on Machine 0 : 21 + 47 -> 68
Job 2 Operation 0 on Machine 2 : 21 + 30 -> 51
Job 4 Operation 1 on Machine 1 : 28 + 25 -> 53
Job 3 Operation 0 on Machine 5 : 28 + 17 -> 45
Job 0 Operation 1 on Machine 5 : 47 + 17 -> 64
Job 6 Operation 0 on Machine 2 : 51 + 45 -> 96
Job 2 Operation 1 on Machine 4 : 51 + 19 -> 70
Job 5 Operation 2 on Machine 5 : 64 + 10 -> 74
Job 0 Operation 2 on Machine 0 : 68 + 44 -> 112
Job 1 Operation 3 on Machine 1 : 68 + 18 -> 86
Job 2 Operation 2 on Machine 3 : 70 + 46 -> 116
Job 3 Operation 1 on Machine 4 : 70 + 37 -> 107
Job 6 Operation 1 on Machine 1 : 96 + 10 -> 106
Job 4 Operation 2 on Machine 2 : 96 + 5 -> 101
Job 6 Operation 2 on Machine 4 : 107 + 15 -> 122
Job 2 Operation 3 on Machine 1 : 116 + 52 -> 168
Job 0 Operation 3 on Machine 3 : 116 + 24 -> 140
Job 6 Operation 3 on Machine 0 : 122 + 5 -> 127
Job 5 Operation 3 on Machine 4 : 122 + 22 -> 144
Job 3 Operation 2 on Machine 0 : 127 + 28 -> 155
Job 6 Operation 4 on Machine 5 : 127 + 15 -> 142
Job 6 Operation 5 on Machine 3 : 142 + 36 -> 178
Job 5 Operation 4 on Machine 2 : 144 + 21 -> 165
Job 1 Operation 4 on Machine 4 : 144 + 20 -> 164
Job 4 Operation 3 on Machine 0 : 155 + 45 -> 200
Job 3 Operation 3 on Machine 1 : 168 + 12 -> 180
Job 0 Operation 4 on Machine 1 : 180 + 51 -> 231
Job 3 Operation 4 on Machine 3 : 180 + 43 -> 223
Job 2 Operation 4 on Machine 0 : 200 + 1 -> 201
Job 4 Operation 4 on Machine 4 : 200 + 44 -> 244
Job 5 Operation 5 on Machine 0 : 201 + 39 -> 240
Job 2 Operation 5 on Machine 5 : 201 + 42 -> 243
Job 3 Operation 5 on Machine 2 : 223 + 5 -> 228
Job 1 Operation 5 on Machine 3 : 223 + 24 -> 247
Job 0 Operation 5 on Machine 2 : 231 + 40 -> 271
Job 4 Operation 5 on Machine 3 : 247 + 15 -> 262
Makespan: 271.0, as it is the maximum end completion time of Operation 5
| null |
|
9 | 6 |
Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 272 mins.
Operation 1 on Machine 0 duration 1 mins.
Operation 2 on Machine 3 duration 357 mins.
Operation 3 on Machine 2 duration 359 mins.
Operation 4 on Machine 5 duration 329 mins.
Operation 5 on Machine 1 duration 50 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 33 mins.
Operation 1 on Machine 1 duration 193 mins.
Operation 2 on Machine 3 duration 101 mins.
Operation 3 on Machine 5 duration 226 mins.
Operation 4 on Machine 4 duration 179 mins.
Operation 5 on Machine 0 duration 287 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 299 mins.
Operation 1 on Machine 4 duration 170 mins.
Operation 2 on Machine 5 duration 24 mins.
Operation 3 on Machine 1 duration 314 mins.
Operation 4 on Machine 3 duration 311 mins.
Operation 5 on Machine 0 duration 251 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 252 mins.
Operation 1 on Machine 2 duration 266 mins.
Operation 2 on Machine 5 duration 319 mins.
Operation 3 on Machine 0 duration 311 mins.
Operation 4 on Machine 4 duration 316 mins.
Operation 5 on Machine 3 duration 146 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 229 mins.
Operation 1 on Machine 4 duration 212 mins.
Operation 2 on Machine 2 duration 156 mins.
Operation 3 on Machine 5 duration 336 mins.
Operation 4 on Machine 0 duration 184 mins.
Operation 5 on Machine 3 duration 6 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 351 mins.
Operation 1 on Machine 5 duration 290 mins.
Operation 2 on Machine 2 duration 322 mins.
Operation 3 on Machine 4 duration 95 mins.
Operation 4 on Machine 3 duration 312 mins.
Operation 5 on Machine 1 duration 335 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 304 mins.
Operation 1 on Machine 5 duration 307 mins.
Operation 2 on Machine 0 duration 273 mins.
Operation 3 on Machine 3 duration 239 mins.
Operation 4 on Machine 4 duration 109 mins.
Operation 5 on Machine 2 duration 322 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 224 mins.
Operation 1 on Machine 3 duration 315 mins.
Operation 2 on Machine 0 duration 265 mins.
Operation 3 on Machine 2 duration 228 mins.
Operation 4 on Machine 5 duration 297 mins.
Operation 5 on Machine 1 duration 175 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 332 mins.
Operation 1 on Machine 0 duration 366 mins.
Operation 2 on Machine 2 duration 17 mins.
Operation 3 on Machine 1 duration 147 mins.
Operation 4 on Machine 3 duration 91 mins.
Operation 5 on Machine 4 duration 5 mins.
| null |
Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 351 mins.
Job 0 Operation 1 duration 1 mins.
Job 8 Operation 1 duration 366 mins.
Job 6 Operation 2 duration 273 mins.
Job 7 Operation 2 duration 265 mins.
Job 3 Operation 3 duration 311 mins.
Job 4 Operation 4 duration 184 mins.
Job 1 Operation 5 duration 287 mins.
Job 2 Operation 5 duration 251 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 252 mins.
Job 4 Operation 0 duration 229 mins.
Job 6 Operation 0 duration 304 mins.
Job 1 Operation 1 duration 193 mins.
Job 2 Operation 3 duration 314 mins.
Job 8 Operation 3 duration 147 mins.
Job 0 Operation 5 duration 50 mins.
Job 5 Operation 5 duration 335 mins.
Job 7 Operation 5 duration 175 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 33 mins.
Job 2 Operation 0 duration 299 mins.
Job 3 Operation 1 duration 266 mins.
Job 4 Operation 2 duration 156 mins.
Job 5 Operation 2 duration 322 mins.
Job 8 Operation 2 duration 17 mins.
Job 0 Operation 3 duration 359 mins.
Job 7 Operation 3 duration 228 mins.
Job 6 Operation 5 duration 322 mins.
Machine 3 is used for the following Operations:
Job 7 Operation 1 duration 315 mins.
Job 0 Operation 2 duration 357 mins.
Job 1 Operation 2 duration 101 mins.
Job 6 Operation 3 duration 239 mins.
Job 2 Operation 4 duration 311 mins.
Job 5 Operation 4 duration 312 mins.
Job 8 Operation 4 duration 91 mins.
Job 3 Operation 5 duration 146 mins.
Job 4 Operation 5 duration 6 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 272 mins.
Job 7 Operation 0 duration 224 mins.
Job 2 Operation 1 duration 170 mins.
Job 4 Operation 1 duration 212 mins.
Job 5 Operation 3 duration 95 mins.
Job 1 Operation 4 duration 179 mins.
Job 3 Operation 4 duration 316 mins.
Job 6 Operation 4 duration 109 mins.
Job 8 Operation 5 duration 5 mins.
Machine 5 is used for the following Operations:
Job 8 Operation 0 duration 332 mins.
Job 5 Operation 1 duration 290 mins.
Job 6 Operation 1 duration 307 mins.
Job 2 Operation 2 duration 24 mins.
Job 3 Operation 2 duration 319 mins.
Job 1 Operation 3 duration 226 mins.
Job 4 Operation 3 duration 336 mins.
Job 0 Operation 4 duration 329 mins.
Job 7 Operation 4 duration 297 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 351 -> 351
Job 6 Operation 0 on Machine 1 : 0 + 304 -> 304
Job 2 Operation 0 on Machine 2 : 0 + 299 -> 299
Job 7 Operation 0 on Machine 4 : 0 + 224 -> 224
Job 8 Operation 0 on Machine 5 : 0 + 332 -> 332
Job 7 Operation 1 on Machine 3 : 224 + 315 -> 539
Job 1 Operation 0 on Machine 2 : 299 + 33 -> 332
Job 2 Operation 1 on Machine 4 : 299 + 170 -> 469
Job 3 Operation 0 on Machine 1 : 304 + 252 -> 556
Job 6 Operation 1 on Machine 5 : 332 + 307 -> 639
Job 0 Operation 0 on Machine 4 : 469 + 272 -> 741
Job 7 Operation 2 on Machine 0 : 539 + 265 -> 804
Job 4 Operation 0 on Machine 1 : 556 + 229 -> 785
Job 3 Operation 1 on Machine 2 : 556 + 266 -> 822
Job 5 Operation 1 on Machine 5 : 639 + 290 -> 929
Job 1 Operation 1 on Machine 1 : 785 + 193 -> 978
Job 4 Operation 1 on Machine 4 : 785 + 212 -> 997
Job 0 Operation 1 on Machine 0 : 804 + 1 -> 805
Job 6 Operation 2 on Machine 0 : 805 + 273 -> 1078
Job 0 Operation 2 on Machine 3 : 805 + 357 -> 1162
Job 7 Operation 3 on Machine 2 : 822 + 228 -> 1050
Job 2 Operation 2 on Machine 5 : 929 + 24 -> 953
Job 3 Operation 2 on Machine 5 : 953 + 319 -> 1272
Job 2 Operation 3 on Machine 1 : 978 + 314 -> 1292
Job 5 Operation 2 on Machine 2 : 1050 + 322 -> 1372
Job 8 Operation 1 on Machine 0 : 1078 + 366 -> 1444
Job 1 Operation 2 on Machine 3 : 1162 + 101 -> 1263
Job 6 Operation 3 on Machine 3 : 1263 + 239 -> 1502
Job 1 Operation 3 on Machine 5 : 1272 + 226 -> 1498
Job 5 Operation 3 on Machine 4 : 1372 + 95 -> 1467
Job 3 Operation 3 on Machine 0 : 1444 + 311 -> 1755
Job 8 Operation 2 on Machine 2 : 1444 + 17 -> 1461
Job 8 Operation 3 on Machine 1 : 1461 + 147 -> 1608
Job 4 Operation 2 on Machine 2 : 1461 + 156 -> 1617
Job 1 Operation 4 on Machine 4 : 1498 + 179 -> 1677
Job 7 Operation 4 on Machine 5 : 1498 + 297 -> 1795
Job 2 Operation 4 on Machine 3 : 1502 + 311 -> 1813
Job 0 Operation 3 on Machine 2 : 1617 + 359 -> 1976
Job 6 Operation 4 on Machine 4 : 1677 + 109 -> 1786
Job 1 Operation 5 on Machine 0 : 1755 + 287 -> 2042
Job 3 Operation 4 on Machine 4 : 1786 + 316 -> 2102
Job 7 Operation 5 on Machine 1 : 1795 + 175 -> 1970
Job 4 Operation 3 on Machine 5 : 1795 + 336 -> 2131
Job 5 Operation 4 on Machine 3 : 1813 + 312 -> 2125
Job 6 Operation 5 on Machine 2 : 1976 + 322 -> 2298
Job 2 Operation 5 on Machine 0 : 2042 + 251 -> 2293
Job 5 Operation 5 on Machine 1 : 2125 + 335 -> 2460
Job 8 Operation 4 on Machine 3 : 2125 + 91 -> 2216
Job 0 Operation 4 on Machine 5 : 2131 + 329 -> 2460
Job 3 Operation 5 on Machine 3 : 2216 + 146 -> 2362
Job 8 Operation 5 on Machine 4 : 2216 + 5 -> 2221
Job 4 Operation 4 on Machine 0 : 2293 + 184 -> 2477
Job 0 Operation 5 on Machine 1 : 2460 + 50 -> 2510
Job 4 Operation 5 on Machine 3 : 2477 + 6 -> 2483
Makespan: 2510.0, as it is the maximum end completion time of Operation 5
| null |
|
6 | 5 |
Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 52 mins.
Operation 1 on Machine 2 duration 16 mins.
Operation 2 on Machine 4 duration 53 mins.
Operation 3 on Machine 0 duration 53 mins.
Operation 4 on Machine 1 duration 35 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 7 mins.
Operation 1 on Machine 4 duration 16 mins.
Operation 2 on Machine 1 duration 24 mins.
Operation 3 on Machine 2 duration 37 mins.
Operation 4 on Machine 3 duration 3 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 25 mins.
Operation 1 on Machine 4 duration 28 mins.
Operation 2 on Machine 0 duration 24 mins.
Operation 3 on Machine 1 duration 3 mins.
Operation 4 on Machine 2 duration 9 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 58 mins.
Operation 1 on Machine 3 duration 31 mins.
Operation 2 on Machine 2 duration 33 mins.
Operation 3 on Machine 1 duration 42 mins.
Operation 4 on Machine 0 duration 60 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 33 mins.
Operation 1 on Machine 4 duration 48 mins.
Operation 2 on Machine 2 duration 41 mins.
Operation 3 on Machine 0 duration 44 mins.
Operation 4 on Machine 1 duration 39 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 29 mins.
Operation 1 on Machine 0 duration 13 mins.
Operation 2 on Machine 4 duration 28 mins.
Operation 3 on Machine 2 duration 59 mins.
Operation 4 on Machine 1 duration 23 mins.
| null |
Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 7 mins.
Job 5 Operation 1 duration 13 mins.
Job 2 Operation 2 duration 24 mins.
Job 0 Operation 3 duration 53 mins.
Job 4 Operation 3 duration 44 mins.
Job 3 Operation 4 duration 60 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 2 duration 24 mins.
Job 2 Operation 3 duration 3 mins.
Job 3 Operation 3 duration 42 mins.
Job 0 Operation 4 duration 35 mins.
Job 4 Operation 4 duration 39 mins.
Job 5 Operation 4 duration 23 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 16 mins.
Job 3 Operation 2 duration 33 mins.
Job 4 Operation 2 duration 41 mins.
Job 1 Operation 3 duration 37 mins.
Job 5 Operation 3 duration 59 mins.
Job 2 Operation 4 duration 9 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 52 mins.
Job 2 Operation 0 duration 25 mins.
Job 4 Operation 0 duration 33 mins.
Job 5 Operation 0 duration 29 mins.
Job 3 Operation 1 duration 31 mins.
Job 1 Operation 4 duration 3 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 58 mins.
Job 1 Operation 1 duration 16 mins.
Job 2 Operation 1 duration 28 mins.
Job 4 Operation 1 duration 48 mins.
Job 0 Operation 2 duration 53 mins.
Job 5 Operation 2 duration 28 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 7 -> 7
Job 4 Operation 0 on Machine 3 : 0 + 33 -> 33
Job 3 Operation 0 on Machine 4 : 0 + 58 -> 58
Job 0 Operation 0 on Machine 3 : 33 + 52 -> 85
Job 4 Operation 1 on Machine 4 : 58 + 48 -> 106
Job 0 Operation 1 on Machine 2 : 85 + 16 -> 101
Job 5 Operation 0 on Machine 3 : 85 + 29 -> 114
Job 4 Operation 2 on Machine 2 : 106 + 41 -> 147
Job 1 Operation 1 on Machine 4 : 106 + 16 -> 122
Job 5 Operation 1 on Machine 0 : 114 + 13 -> 127
Job 3 Operation 1 on Machine 3 : 114 + 31 -> 145
Job 1 Operation 2 on Machine 1 : 122 + 24 -> 146
Job 0 Operation 2 on Machine 4 : 122 + 53 -> 175
Job 2 Operation 0 on Machine 3 : 145 + 25 -> 170
Job 4 Operation 3 on Machine 0 : 147 + 44 -> 191
Job 3 Operation 2 on Machine 2 : 147 + 33 -> 180
Job 5 Operation 2 on Machine 4 : 175 + 28 -> 203
Job 3 Operation 3 on Machine 1 : 180 + 42 -> 222
Job 0 Operation 3 on Machine 0 : 191 + 53 -> 244
Job 5 Operation 3 on Machine 2 : 203 + 59 -> 262
Job 2 Operation 1 on Machine 4 : 203 + 28 -> 231
Job 4 Operation 4 on Machine 1 : 222 + 39 -> 261
Job 2 Operation 2 on Machine 0 : 244 + 24 -> 268
Job 0 Operation 4 on Machine 1 : 261 + 35 -> 296
Job 1 Operation 3 on Machine 2 : 262 + 37 -> 299
Job 3 Operation 4 on Machine 0 : 268 + 60 -> 328
Job 2 Operation 3 on Machine 1 : 296 + 3 -> 299
Job 5 Operation 4 on Machine 1 : 299 + 23 -> 322
Job 2 Operation 4 on Machine 2 : 299 + 9 -> 308
Job 1 Operation 4 on Machine 3 : 299 + 3 -> 302
Makespan: 328.0, as it is the maximum end completion time of Operation 4
| null |
|
15 | 10 |
Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 7 duration 3 mins.
Operation 1 on Machine 9 duration 9 mins.
Operation 2 on Machine 1 duration 1 mins.
Operation 3 on Machine 0 duration 2 mins.
Operation 4 on Machine 8 duration 4 mins.
Operation 5 on Machine 5 duration 9 mins.
Operation 6 on Machine 6 duration 1 mins.
Operation 7 on Machine 2 duration 9 mins.
Operation 8 on Machine 4 duration 2 mins.
Operation 9 on Machine 3 duration 9 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 8 mins.
Operation 1 on Machine 2 duration 9 mins.
Operation 2 on Machine 3 duration 6 mins.
Operation 3 on Machine 7 duration 3 mins.
Operation 4 on Machine 5 duration 6 mins.
Operation 5 on Machine 6 duration 3 mins.
Operation 6 on Machine 1 duration 3 mins.
Operation 7 on Machine 8 duration 8 mins.
Operation 8 on Machine 9 duration 2 mins.
Operation 9 on Machine 0 duration 6 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 9 mins.
Operation 1 on Machine 4 duration 9 mins.
Operation 2 on Machine 6 duration 8 mins.
Operation 3 on Machine 3 duration 9 mins.
Operation 4 on Machine 1 duration 5 mins.
Operation 5 on Machine 8 duration 3 mins.
Operation 6 on Machine 2 duration 3 mins.
Operation 7 on Machine 9 duration 8 mins.
Operation 8 on Machine 5 duration 6 mins.
Operation 9 on Machine 0 duration 7 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 9 duration 8 mins.
Operation 1 on Machine 5 duration 3 mins.
Operation 2 on Machine 0 duration 2 mins.
Operation 3 on Machine 3 duration 2 mins.
Operation 4 on Machine 8 duration 8 mins.
Operation 5 on Machine 4 duration 2 mins.
Operation 6 on Machine 6 duration 3 mins.
Operation 7 on Machine 2 duration 4 mins.
Operation 8 on Machine 1 duration 3 mins.
Operation 9 on Machine 7 duration 7 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 4 mins.
Operation 1 on Machine 3 duration 3 mins.
Operation 2 on Machine 7 duration 1 mins.
Operation 3 on Machine 2 duration 2 mins.
Operation 4 on Machine 6 duration 2 mins.
Operation 5 on Machine 0 duration 2 mins.
Operation 6 on Machine 1 duration 8 mins.
Operation 7 on Machine 4 duration 5 mins.
Operation 8 on Machine 9 duration 3 mins.
Operation 9 on Machine 8 duration 7 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 8 duration 7 mins.
Operation 1 on Machine 4 duration 2 mins.
Operation 2 on Machine 0 duration 7 mins.
Operation 3 on Machine 2 duration 3 mins.
Operation 4 on Machine 3 duration 2 mins.
Operation 5 on Machine 7 duration 9 mins.
Operation 6 on Machine 6 duration 6 mins.
Operation 7 on Machine 9 duration 5 mins.
Operation 8 on Machine 5 duration 6 mins.
Operation 9 on Machine 1 duration 3 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 1 mins.
Operation 1 on Machine 2 duration 4 mins.
Operation 2 on Machine 3 duration 6 mins.
Operation 3 on Machine 9 duration 3 mins.
Operation 4 on Machine 1 duration 2 mins.
Operation 5 on Machine 5 duration 9 mins.
Operation 6 on Machine 8 duration 4 mins.
Operation 7 on Machine 0 duration 1 mins.
Operation 8 on Machine 7 duration 9 mins.
Operation 9 on Machine 6 duration 7 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 7 duration 3 mins.
Operation 1 on Machine 4 duration 6 mins.
Operation 2 on Machine 0 duration 2 mins.
Operation 3 on Machine 9 duration 8 mins.
Operation 4 on Machine 5 duration 3 mins.
Operation 5 on Machine 3 duration 5 mins.
Operation 6 on Machine 8 duration 8 mins.
Operation 7 on Machine 2 duration 6 mins.
Operation 8 on Machine 6 duration 3 mins.
Operation 9 on Machine 1 duration 3 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 7 mins.
Operation 1 on Machine 2 duration 5 mins.
Operation 2 on Machine 1 duration 3 mins.
Operation 3 on Machine 6 duration 2 mins.
Operation 4 on Machine 0 duration 5 mins.
Operation 5 on Machine 5 duration 3 mins.
Operation 6 on Machine 8 duration 3 mins.
Operation 7 on Machine 4 duration 5 mins.
Operation 8 on Machine 7 duration 5 mins.
Operation 9 on Machine 9 duration 2 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 8 duration 5 mins.
Operation 1 on Machine 9 duration 2 mins.
Operation 2 on Machine 4 duration 2 mins.
Operation 3 on Machine 0 duration 9 mins.
Operation 4 on Machine 2 duration 6 mins.
Operation 5 on Machine 5 duration 9 mins.
Operation 6 on Machine 3 duration 8 mins.
Operation 7 on Machine 6 duration 2 mins.
Operation 8 on Machine 1 duration 9 mins.
Operation 9 on Machine 7 duration 4 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 3 duration 8 mins.
Operation 1 on Machine 5 duration 6 mins.
Operation 2 on Machine 4 duration 2 mins.
Operation 3 on Machine 7 duration 1 mins.
Operation 4 on Machine 9 duration 1 mins.
Operation 5 on Machine 1 duration 1 mins.
Operation 6 on Machine 8 duration 4 mins.
Operation 7 on Machine 2 duration 1 mins.
Operation 8 on Machine 6 duration 8 mins.
Operation 9 on Machine 0 duration 9 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 7 duration 9 mins.
Operation 1 on Machine 6 duration 7 mins.
Operation 2 on Machine 9 duration 1 mins.
Operation 3 on Machine 3 duration 9 mins.
Operation 4 on Machine 1 duration 7 mins.
Operation 5 on Machine 2 duration 3 mins.
Operation 6 on Machine 4 duration 2 mins.
Operation 7 on Machine 5 duration 6 mins.
Operation 8 on Machine 8 duration 8 mins.
Operation 9 on Machine 0 duration 6 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 8 duration 2 mins.
Operation 1 on Machine 0 duration 5 mins.
Operation 2 on Machine 4 duration 6 mins.
Operation 3 on Machine 1 duration 4 mins.
Operation 4 on Machine 7 duration 3 mins.
Operation 5 on Machine 3 duration 8 mins.
Operation 6 on Machine 6 duration 8 mins.
Operation 7 on Machine 5 duration 9 mins.
Operation 8 on Machine 9 duration 6 mins.
Operation 9 on Machine 2 duration 2 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 1 duration 5 mins.
Operation 1 on Machine 3 duration 6 mins.
Operation 2 on Machine 0 duration 6 mins.
Operation 3 on Machine 4 duration 5 mins.
Operation 4 on Machine 6 duration 8 mins.
Operation 5 on Machine 5 duration 1 mins.
Operation 6 on Machine 8 duration 9 mins.
Operation 7 on Machine 2 duration 7 mins.
Operation 8 on Machine 9 duration 1 mins.
Operation 9 on Machine 7 duration 7 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 7 duration 8 mins.
Operation 1 on Machine 8 duration 2 mins.
Operation 2 on Machine 5 duration 4 mins.
Operation 3 on Machine 4 duration 8 mins.
Operation 4 on Machine 3 duration 7 mins.
Operation 5 on Machine 0 duration 1 mins.
Operation 6 on Machine 6 duration 9 mins.
Operation 7 on Machine 1 duration 4 mins.
Operation 8 on Machine 9 duration 9 mins.
Operation 9 on Machine 2 duration 2 mins.
| null |
Optimize schedule for 15 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 12 Operation 1 duration 5 mins.
Job 3 Operation 2 duration 2 mins.
Job 5 Operation 2 duration 7 mins.
Job 7 Operation 2 duration 2 mins.
Job 13 Operation 2 duration 6 mins.
Job 0 Operation 3 duration 2 mins.
Job 9 Operation 3 duration 9 mins.
Job 8 Operation 4 duration 5 mins.
Job 4 Operation 5 duration 2 mins.
Job 14 Operation 5 duration 1 mins.
Job 6 Operation 7 duration 1 mins.
Job 1 Operation 9 duration 6 mins.
Job 2 Operation 9 duration 7 mins.
Job 10 Operation 9 duration 9 mins.
Job 11 Operation 9 duration 6 mins.
Machine 1 is used for the following Operations:
Job 13 Operation 0 duration 5 mins.
Job 0 Operation 2 duration 1 mins.
Job 8 Operation 2 duration 3 mins.
Job 12 Operation 3 duration 4 mins.
Job 2 Operation 4 duration 5 mins.
Job 6 Operation 4 duration 2 mins.
Job 11 Operation 4 duration 7 mins.
Job 10 Operation 5 duration 1 mins.
Job 1 Operation 6 duration 3 mins.
Job 4 Operation 6 duration 8 mins.
Job 14 Operation 7 duration 4 mins.
Job 3 Operation 8 duration 3 mins.
Job 9 Operation 8 duration 9 mins.
Job 5 Operation 9 duration 3 mins.
Job 7 Operation 9 duration 3 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 9 mins.
Job 6 Operation 1 duration 4 mins.
Job 8 Operation 1 duration 5 mins.
Job 4 Operation 3 duration 2 mins.
Job 5 Operation 3 duration 3 mins.
Job 9 Operation 4 duration 6 mins.
Job 11 Operation 5 duration 3 mins.
Job 2 Operation 6 duration 3 mins.
Job 0 Operation 7 duration 9 mins.
Job 3 Operation 7 duration 4 mins.
Job 7 Operation 7 duration 6 mins.
Job 10 Operation 7 duration 1 mins.
Job 13 Operation 7 duration 7 mins.
Job 12 Operation 9 duration 2 mins.
Job 14 Operation 9 duration 2 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 0 duration 7 mins.
Job 10 Operation 0 duration 8 mins.
Job 4 Operation 1 duration 3 mins.
Job 13 Operation 1 duration 6 mins.
Job 1 Operation 2 duration 6 mins.
Job 6 Operation 2 duration 6 mins.
Job 2 Operation 3 duration 9 mins.
Job 3 Operation 3 duration 2 mins.
Job 11 Operation 3 duration 9 mins.
Job 5 Operation 4 duration 2 mins.
Job 14 Operation 4 duration 7 mins.
Job 7 Operation 5 duration 5 mins.
Job 12 Operation 5 duration 8 mins.
Job 9 Operation 6 duration 8 mins.
Job 0 Operation 9 duration 9 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 8 mins.
Job 6 Operation 0 duration 1 mins.
Job 2 Operation 1 duration 9 mins.
Job 5 Operation 1 duration 2 mins.
Job 7 Operation 1 duration 6 mins.
Job 9 Operation 2 duration 2 mins.
Job 10 Operation 2 duration 2 mins.
Job 12 Operation 2 duration 6 mins.
Job 13 Operation 3 duration 5 mins.
Job 14 Operation 3 duration 8 mins.
Job 3 Operation 5 duration 2 mins.
Job 11 Operation 6 duration 2 mins.
Job 4 Operation 7 duration 5 mins.
Job 8 Operation 7 duration 5 mins.
Job 0 Operation 8 duration 2 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 0 duration 4 mins.
Job 3 Operation 1 duration 3 mins.
Job 10 Operation 1 duration 6 mins.
Job 14 Operation 2 duration 4 mins.
Job 1 Operation 4 duration 6 mins.
Job 7 Operation 4 duration 3 mins.
Job 0 Operation 5 duration 9 mins.
Job 6 Operation 5 duration 9 mins.
Job 8 Operation 5 duration 3 mins.
Job 9 Operation 5 duration 9 mins.
Job 13 Operation 5 duration 1 mins.
Job 11 Operation 7 duration 6 mins.
Job 12 Operation 7 duration 9 mins.
Job 2 Operation 8 duration 6 mins.
Job 5 Operation 8 duration 6 mins.
Machine 6 is used for the following Operations:
Job 11 Operation 1 duration 7 mins.
Job 2 Operation 2 duration 8 mins.
Job 8 Operation 3 duration 2 mins.
Job 4 Operation 4 duration 2 mins.
Job 13 Operation 4 duration 8 mins.
Job 1 Operation 5 duration 3 mins.
Job 0 Operation 6 duration 1 mins.
Job 3 Operation 6 duration 3 mins.
Job 5 Operation 6 duration 6 mins.
Job 12 Operation 6 duration 8 mins.
Job 14 Operation 6 duration 9 mins.
Job 9 Operation 7 duration 2 mins.
Job 7 Operation 8 duration 3 mins.
Job 10 Operation 8 duration 8 mins.
Job 6 Operation 9 duration 7 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 0 duration 3 mins.
Job 2 Operation 0 duration 9 mins.
Job 7 Operation 0 duration 3 mins.
Job 11 Operation 0 duration 9 mins.
Job 14 Operation 0 duration 8 mins.
Job 4 Operation 2 duration 1 mins.
Job 1 Operation 3 duration 3 mins.
Job 10 Operation 3 duration 1 mins.
Job 12 Operation 4 duration 3 mins.
Job 5 Operation 5 duration 9 mins.
Job 6 Operation 8 duration 9 mins.
Job 8 Operation 8 duration 5 mins.
Job 3 Operation 9 duration 7 mins.
Job 9 Operation 9 duration 4 mins.
Job 13 Operation 9 duration 7 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 0 duration 7 mins.
Job 9 Operation 0 duration 5 mins.
Job 12 Operation 0 duration 2 mins.
Job 14 Operation 1 duration 2 mins.
Job 0 Operation 4 duration 4 mins.
Job 3 Operation 4 duration 8 mins.
Job 2 Operation 5 duration 3 mins.
Job 6 Operation 6 duration 4 mins.
Job 7 Operation 6 duration 8 mins.
Job 8 Operation 6 duration 3 mins.
Job 10 Operation 6 duration 4 mins.
Job 13 Operation 6 duration 9 mins.
Job 1 Operation 7 duration 8 mins.
Job 11 Operation 8 duration 8 mins.
Job 4 Operation 9 duration 7 mins.
Machine 9 is used for the following Operations:
Job 3 Operation 0 duration 8 mins.
Job 0 Operation 1 duration 9 mins.
Job 9 Operation 1 duration 2 mins.
Job 11 Operation 2 duration 1 mins.
Job 6 Operation 3 duration 3 mins.
Job 7 Operation 3 duration 8 mins.
Job 10 Operation 4 duration 1 mins.
Job 2 Operation 7 duration 8 mins.
Job 5 Operation 7 duration 5 mins.
Job 1 Operation 8 duration 2 mins.
Job 4 Operation 8 duration 3 mins.
Job 12 Operation 8 duration 6 mins.
Job 13 Operation 8 duration 1 mins.
Job 14 Operation 8 duration 9 mins.
Job 8 Operation 9 duration 2 mins.
| null |
Solution:
Job 13 Operation 0 on Machine 1 : 0 + 5 -> 5
Job 10 Operation 0 on Machine 3 : 0 + 8 -> 8
Job 6 Operation 0 on Machine 4 : 0 + 1 -> 1
Job 4 Operation 0 on Machine 5 : 0 + 4 -> 4
Job 2 Operation 0 on Machine 7 : 0 + 9 -> 9
Job 5 Operation 0 on Machine 8 : 0 + 7 -> 7
Job 3 Operation 0 on Machine 9 : 0 + 8 -> 8
Job 6 Operation 1 on Machine 2 : 1 + 4 -> 5
Job 1 Operation 0 on Machine 4 : 1 + 8 -> 9
Job 9 Operation 0 on Machine 8 : 7 + 5 -> 12
Job 6 Operation 2 on Machine 3 : 8 + 6 -> 14
Job 3 Operation 1 on Machine 5 : 8 + 3 -> 11
Job 1 Operation 1 on Machine 2 : 9 + 9 -> 18
Job 2 Operation 1 on Machine 4 : 9 + 9 -> 18
Job 0 Operation 0 on Machine 7 : 9 + 3 -> 12
Job 3 Operation 2 on Machine 0 : 11 + 2 -> 13
Job 10 Operation 1 on Machine 5 : 11 + 6 -> 17
Job 7 Operation 0 on Machine 7 : 12 + 3 -> 15
Job 12 Operation 0 on Machine 8 : 12 + 2 -> 14
Job 9 Operation 1 on Machine 9 : 12 + 2 -> 14
Job 12 Operation 1 on Machine 0 : 14 + 5 -> 19
Job 13 Operation 1 on Machine 3 : 14 + 6 -> 20
Job 6 Operation 3 on Machine 9 : 14 + 3 -> 17
Job 11 Operation 0 on Machine 7 : 15 + 9 -> 24
Job 6 Operation 4 on Machine 1 : 17 + 2 -> 19
Job 0 Operation 1 on Machine 9 : 17 + 9 -> 26
Job 7 Operation 1 on Machine 4 : 18 + 6 -> 24
Job 2 Operation 2 on Machine 6 : 18 + 8 -> 26
Job 6 Operation 5 on Machine 5 : 19 + 9 -> 28
Job 13 Operation 2 on Machine 0 : 20 + 6 -> 26
Job 1 Operation 2 on Machine 3 : 20 + 6 -> 26
Job 10 Operation 2 on Machine 4 : 24 + 2 -> 26
Job 0 Operation 2 on Machine 1 : 26 + 1 -> 27
Job 2 Operation 3 on Machine 3 : 26 + 9 -> 35
Job 5 Operation 1 on Machine 4 : 26 + 2 -> 28
Job 11 Operation 1 on Machine 6 : 26 + 7 -> 33
Job 10 Operation 3 on Machine 7 : 26 + 1 -> 27
Job 0 Operation 3 on Machine 0 : 27 + 2 -> 29
Job 1 Operation 3 on Machine 7 : 27 + 3 -> 30
Job 10 Operation 4 on Machine 9 : 27 + 1 -> 28
Job 10 Operation 5 on Machine 1 : 28 + 1 -> 29
Job 13 Operation 3 on Machine 4 : 28 + 5 -> 33
Job 7 Operation 2 on Machine 0 : 29 + 2 -> 31
Job 0 Operation 4 on Machine 8 : 29 + 4 -> 33
Job 1 Operation 4 on Machine 5 : 30 + 6 -> 36
Job 14 Operation 0 on Machine 7 : 30 + 8 -> 38
Job 5 Operation 2 on Machine 0 : 31 + 7 -> 38
Job 7 Operation 3 on Machine 9 : 31 + 8 -> 39
Job 9 Operation 2 on Machine 4 : 33 + 2 -> 35
Job 13 Operation 4 on Machine 6 : 33 + 8 -> 41
Job 10 Operation 6 on Machine 8 : 33 + 4 -> 37
Job 2 Operation 4 on Machine 1 : 35 + 5 -> 40
Job 3 Operation 3 on Machine 3 : 35 + 2 -> 37
Job 12 Operation 2 on Machine 4 : 35 + 6 -> 41
Job 0 Operation 5 on Machine 5 : 36 + 9 -> 45
Job 10 Operation 7 on Machine 2 : 37 + 1 -> 38
Job 8 Operation 0 on Machine 3 : 37 + 7 -> 44
Job 9 Operation 3 on Machine 0 : 38 + 9 -> 47
Job 5 Operation 3 on Machine 2 : 38 + 3 -> 41
Job 14 Operation 1 on Machine 8 : 38 + 2 -> 40
Job 11 Operation 2 on Machine 9 : 39 + 1 -> 40
Job 2 Operation 5 on Machine 8 : 40 + 3 -> 43
Job 1 Operation 5 on Machine 6 : 41 + 3 -> 44
Job 2 Operation 6 on Machine 2 : 43 + 3 -> 46
Job 6 Operation 6 on Machine 8 : 43 + 4 -> 47
Job 1 Operation 6 on Machine 1 : 44 + 3 -> 47
Job 5 Operation 4 on Machine 3 : 44 + 2 -> 46
Job 10 Operation 8 on Machine 6 : 44 + 8 -> 52
Job 13 Operation 5 on Machine 5 : 45 + 1 -> 46
Job 8 Operation 1 on Machine 2 : 46 + 5 -> 51
Job 11 Operation 3 on Machine 3 : 46 + 9 -> 55
Job 14 Operation 2 on Machine 5 : 46 + 4 -> 50
Job 5 Operation 5 on Machine 7 : 46 + 9 -> 55
Job 2 Operation 7 on Machine 9 : 46 + 8 -> 54
Job 6 Operation 7 on Machine 0 : 47 + 1 -> 48
Job 12 Operation 3 on Machine 1 : 47 + 4 -> 51
Job 3 Operation 4 on Machine 8 : 47 + 8 -> 55
Job 14 Operation 3 on Machine 4 : 50 + 8 -> 58
Job 7 Operation 4 on Machine 5 : 50 + 3 -> 53
Job 8 Operation 2 on Machine 1 : 51 + 3 -> 54
Job 9 Operation 4 on Machine 2 : 51 + 6 -> 57
Job 0 Operation 6 on Machine 6 : 52 + 1 -> 53
Job 2 Operation 8 on Machine 5 : 54 + 6 -> 60
Job 8 Operation 3 on Machine 6 : 54 + 2 -> 56
Job 11 Operation 4 on Machine 1 : 55 + 7 -> 62
Job 4 Operation 1 on Machine 3 : 55 + 3 -> 58
Job 12 Operation 4 on Machine 7 : 55 + 3 -> 58
Job 13 Operation 6 on Machine 8 : 55 + 9 -> 64
Job 8 Operation 4 on Machine 0 : 56 + 5 -> 61
Job 5 Operation 6 on Machine 6 : 56 + 6 -> 62
Job 14 Operation 4 on Machine 3 : 58 + 7 -> 65
Job 3 Operation 5 on Machine 4 : 58 + 2 -> 60
Job 4 Operation 2 on Machine 7 : 58 + 1 -> 59
Job 4 Operation 3 on Machine 2 : 59 + 2 -> 61
Job 6 Operation 8 on Machine 7 : 59 + 9 -> 68
Job 9 Operation 5 on Machine 5 : 60 + 9 -> 69
Job 3 Operation 6 on Machine 6 : 62 + 3 -> 65
Job 5 Operation 7 on Machine 9 : 62 + 5 -> 67
Job 13 Operation 7 on Machine 2 : 64 + 7 -> 71
Job 1 Operation 7 on Machine 8 : 64 + 8 -> 72
Job 14 Operation 5 on Machine 0 : 65 + 1 -> 66
Job 12 Operation 5 on Machine 3 : 65 + 8 -> 73
Job 4 Operation 4 on Machine 6 : 65 + 2 -> 67
Job 4 Operation 5 on Machine 0 : 67 + 2 -> 69
Job 14 Operation 6 on Machine 6 : 67 + 9 -> 76
Job 2 Operation 9 on Machine 0 : 69 + 7 -> 76
Job 4 Operation 6 on Machine 1 : 69 + 8 -> 77
Job 8 Operation 5 on Machine 5 : 69 + 3 -> 72
Job 11 Operation 5 on Machine 2 : 71 + 3 -> 74
Job 13 Operation 8 on Machine 9 : 71 + 1 -> 72
Job 5 Operation 8 on Machine 5 : 72 + 6 -> 78
Job 13 Operation 9 on Machine 7 : 72 + 7 -> 79
Job 8 Operation 6 on Machine 8 : 72 + 3 -> 75
Job 1 Operation 8 on Machine 9 : 72 + 2 -> 74
Job 7 Operation 5 on Machine 3 : 73 + 5 -> 78
Job 3 Operation 7 on Machine 2 : 74 + 4 -> 78
Job 11 Operation 6 on Machine 4 : 74 + 2 -> 76
Job 10 Operation 9 on Machine 0 : 76 + 9 -> 85
Job 8 Operation 7 on Machine 4 : 76 + 5 -> 81
Job 12 Operation 6 on Machine 6 : 76 + 8 -> 84
Job 14 Operation 7 on Machine 1 : 77 + 4 -> 81
Job 0 Operation 7 on Machine 2 : 78 + 9 -> 87
Job 9 Operation 6 on Machine 3 : 78 + 8 -> 86
Job 11 Operation 7 on Machine 5 : 78 + 6 -> 84
Job 7 Operation 6 on Machine 8 : 78 + 8 -> 86
Job 5 Operation 9 on Machine 1 : 81 + 3 -> 84
Job 4 Operation 7 on Machine 4 : 81 + 5 -> 86
Job 8 Operation 8 on Machine 7 : 81 + 5 -> 86
Job 14 Operation 8 on Machine 9 : 81 + 9 -> 90
Job 3 Operation 8 on Machine 1 : 84 + 3 -> 87
Job 12 Operation 7 on Machine 5 : 84 + 9 -> 93
Job 1 Operation 9 on Machine 0 : 85 + 6 -> 91
Job 9 Operation 7 on Machine 6 : 86 + 2 -> 88
Job 11 Operation 8 on Machine 8 : 86 + 8 -> 94
Job 7 Operation 7 on Machine 2 : 87 + 6 -> 93
Job 0 Operation 8 on Machine 4 : 87 + 2 -> 89
Job 3 Operation 9 on Machine 7 : 87 + 7 -> 94
Job 9 Operation 8 on Machine 1 : 88 + 9 -> 97
Job 6 Operation 9 on Machine 6 : 88 + 7 -> 95
Job 0 Operation 9 on Machine 3 : 89 + 9 -> 98
Job 4 Operation 8 on Machine 9 : 90 + 3 -> 93
Job 14 Operation 9 on Machine 2 : 93 + 2 -> 95
Job 12 Operation 8 on Machine 9 : 93 + 6 -> 99
Job 11 Operation 9 on Machine 0 : 94 + 6 -> 100
Job 4 Operation 9 on Machine 8 : 94 + 7 -> 101
Job 7 Operation 8 on Machine 6 : 95 + 3 -> 98
Job 9 Operation 9 on Machine 7 : 97 + 4 -> 101
Job 7 Operation 9 on Machine 1 : 98 + 3 -> 101
Job 12 Operation 9 on Machine 2 : 99 + 2 -> 101
Job 8 Operation 9 on Machine 9 : 99 + 2 -> 101
Makespan: 101.0, as it is the maximum end completion time of Operation 9
| null |
|
10 | 3 |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 12 mins.
Operation 1 on Machine 2 duration 102 mins.
Operation 2 on Machine 1 duration 42 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 78 mins.
Operation 1 on Machine 0 duration 99 mins.
Operation 2 on Machine 2 duration 41 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 40 mins.
Operation 1 on Machine 0 duration 43 mins.
Operation 2 on Machine 1 duration 56 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 23 mins.
Operation 1 on Machine 0 duration 85 mins.
Operation 2 on Machine 2 duration 67 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 66 mins.
Operation 1 on Machine 1 duration 61 mins.
Operation 2 on Machine 2 duration 8 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 83 mins.
Operation 1 on Machine 1 duration 2 mins.
Operation 2 on Machine 0 duration 1 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 14 mins.
Operation 1 on Machine 2 duration 44 mins.
Operation 2 on Machine 0 duration 29 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 10 mins.
Operation 1 on Machine 1 duration 68 mins.
Operation 2 on Machine 2 duration 76 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 9 mins.
Operation 1 on Machine 1 duration 51 mins.
Operation 2 on Machine 0 duration 31 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 30 mins.
Operation 1 on Machine 0 duration 73 mins.
Operation 2 on Machine 2 duration 4 mins.
| null |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 12 mins.
Job 4 Operation 0 duration 66 mins.
Job 7 Operation 0 duration 10 mins.
Job 1 Operation 1 duration 99 mins.
Job 2 Operation 1 duration 43 mins.
Job 3 Operation 1 duration 85 mins.
Job 9 Operation 1 duration 73 mins.
Job 5 Operation 2 duration 1 mins.
Job 6 Operation 2 duration 29 mins.
Job 8 Operation 2 duration 31 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 78 mins.
Job 3 Operation 0 duration 23 mins.
Job 6 Operation 0 duration 14 mins.
Job 9 Operation 0 duration 30 mins.
Job 4 Operation 1 duration 61 mins.
Job 5 Operation 1 duration 2 mins.
Job 7 Operation 1 duration 68 mins.
Job 8 Operation 1 duration 51 mins.
Job 0 Operation 2 duration 42 mins.
Job 2 Operation 2 duration 56 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 40 mins.
Job 5 Operation 0 duration 83 mins.
Job 8 Operation 0 duration 9 mins.
Job 0 Operation 1 duration 102 mins.
Job 6 Operation 1 duration 44 mins.
Job 1 Operation 2 duration 41 mins.
Job 3 Operation 2 duration 67 mins.
Job 4 Operation 2 duration 8 mins.
Job 7 Operation 2 duration 76 mins.
Job 9 Operation 2 duration 4 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 12 -> 12
Job 3 Operation 0 on Machine 1 : 0 + 23 -> 23
Job 8 Operation 0 on Machine 2 : 0 + 9 -> 9
Job 5 Operation 0 on Machine 2 : 9 + 83 -> 92
Job 7 Operation 0 on Machine 0 : 12 + 10 -> 22
Job 3 Operation 1 on Machine 0 : 23 + 85 -> 108
Job 9 Operation 0 on Machine 1 : 23 + 30 -> 53
Job 6 Operation 0 on Machine 1 : 53 + 14 -> 67
Job 5 Operation 1 on Machine 1 : 92 + 2 -> 94
Job 6 Operation 1 on Machine 2 : 92 + 44 -> 136
Job 8 Operation 1 on Machine 1 : 94 + 51 -> 145
Job 5 Operation 2 on Machine 0 : 108 + 1 -> 109
Job 4 Operation 0 on Machine 0 : 109 + 66 -> 175
Job 3 Operation 2 on Machine 2 : 136 + 67 -> 203
Job 7 Operation 1 on Machine 1 : 145 + 68 -> 213
Job 6 Operation 2 on Machine 0 : 175 + 29 -> 204
Job 2 Operation 0 on Machine 2 : 203 + 40 -> 243
Job 8 Operation 2 on Machine 0 : 204 + 31 -> 235
Job 1 Operation 0 on Machine 1 : 213 + 78 -> 291
Job 2 Operation 1 on Machine 0 : 243 + 43 -> 286
Job 0 Operation 1 on Machine 2 : 243 + 102 -> 345
Job 1 Operation 1 on Machine 0 : 291 + 99 -> 390
Job 2 Operation 2 on Machine 1 : 291 + 56 -> 347
Job 7 Operation 2 on Machine 2 : 345 + 76 -> 421
Job 4 Operation 1 on Machine 1 : 347 + 61 -> 408
Job 9 Operation 1 on Machine 0 : 390 + 73 -> 463
Job 0 Operation 2 on Machine 1 : 408 + 42 -> 450
Job 4 Operation 2 on Machine 2 : 421 + 8 -> 429
Job 1 Operation 2 on Machine 2 : 429 + 41 -> 470
Job 9 Operation 2 on Machine 2 : 470 + 4 -> 474
Makespan: 474.0, as it is the maximum end completion time of Operation 2
| null |
|
6 | 4 |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 432 mins.
Operation 1 on Machine 0 duration 290 mins.
Operation 2 on Machine 2 duration 246 mins.
Operation 3 on Machine 1 duration 465 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 368 mins.
Operation 1 on Machine 3 duration 219 mins.
Operation 2 on Machine 2 duration 345 mins.
Operation 3 on Machine 1 duration 238 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 83 mins.
Operation 1 on Machine 2 duration 403 mins.
Operation 2 on Machine 3 duration 406 mins.
Operation 3 on Machine 0 duration 189 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 19 mins.
Operation 1 on Machine 1 duration 195 mins.
Operation 2 on Machine 0 duration 263 mins.
Operation 3 on Machine 3 duration 188 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 299 mins.
Operation 1 on Machine 2 duration 304 mins.
Operation 2 on Machine 0 duration 401 mins.
Operation 3 on Machine 1 duration 65 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 12 mins.
Operation 1 on Machine 1 duration 357 mins.
Operation 2 on Machine 0 duration 405 mins.
Operation 3 on Machine 3 duration 218 mins.
| null |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 368 mins.
Job 0 Operation 1 duration 290 mins.
Job 3 Operation 2 duration 263 mins.
Job 4 Operation 2 duration 401 mins.
Job 5 Operation 2 duration 405 mins.
Job 2 Operation 3 duration 189 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 83 mins.
Job 3 Operation 1 duration 195 mins.
Job 5 Operation 1 duration 357 mins.
Job 0 Operation 3 duration 465 mins.
Job 1 Operation 3 duration 238 mins.
Job 4 Operation 3 duration 65 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 19 mins.
Job 5 Operation 0 duration 12 mins.
Job 2 Operation 1 duration 403 mins.
Job 4 Operation 1 duration 304 mins.
Job 0 Operation 2 duration 246 mins.
Job 1 Operation 2 duration 345 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 432 mins.
Job 4 Operation 0 duration 299 mins.
Job 1 Operation 1 duration 219 mins.
Job 2 Operation 2 duration 406 mins.
Job 3 Operation 3 duration 188 mins.
Job 5 Operation 3 duration 218 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 368 -> 368
Job 2 Operation 0 on Machine 1 : 0 + 83 -> 83
Job 5 Operation 0 on Machine 2 : 0 + 12 -> 12
Job 0 Operation 0 on Machine 3 : 0 + 432 -> 432
Job 3 Operation 0 on Machine 2 : 12 + 19 -> 31
Job 3 Operation 1 on Machine 1 : 83 + 195 -> 278
Job 2 Operation 1 on Machine 2 : 83 + 403 -> 486
Job 5 Operation 1 on Machine 1 : 278 + 357 -> 635
Job 0 Operation 1 on Machine 0 : 432 + 290 -> 722
Job 1 Operation 1 on Machine 3 : 432 + 219 -> 651
Job 4 Operation 0 on Machine 3 : 651 + 299 -> 950
Job 5 Operation 2 on Machine 0 : 722 + 405 -> 1127
Job 0 Operation 2 on Machine 2 : 722 + 246 -> 968
Job 0 Operation 3 on Machine 1 : 968 + 465 -> 1433
Job 4 Operation 1 on Machine 2 : 968 + 304 -> 1272
Job 3 Operation 2 on Machine 0 : 1127 + 263 -> 1390
Job 5 Operation 3 on Machine 3 : 1127 + 218 -> 1345
Job 1 Operation 2 on Machine 2 : 1272 + 345 -> 1617
Job 2 Operation 2 on Machine 3 : 1345 + 406 -> 1751
Job 4 Operation 2 on Machine 0 : 1390 + 401 -> 1791
Job 1 Operation 3 on Machine 1 : 1617 + 238 -> 1855
Job 3 Operation 3 on Machine 3 : 1751 + 188 -> 1939
Job 2 Operation 3 on Machine 0 : 1791 + 189 -> 1980
Job 4 Operation 3 on Machine 1 : 1855 + 65 -> 1920
Makespan: 1980.0, as it is the maximum end completion time of Operation 3
| null |
|
10 | 3 |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 36 mins.
Operation 1 on Machine 2 duration 68 mins.
Operation 2 on Machine 0 duration 57 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 24 mins.
Operation 1 on Machine 1 duration 17 mins.
Operation 2 on Machine 0 duration 44 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 77 mins.
Operation 1 on Machine 1 duration 28 mins.
Operation 2 on Machine 2 duration 76 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 60 mins.
Operation 1 on Machine 1 duration 30 mins.
Operation 2 on Machine 2 duration 30 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 33 mins.
Operation 1 on Machine 2 duration 36 mins.
Operation 2 on Machine 0 duration 3 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 6 mins.
Operation 1 on Machine 1 duration 24 mins.
Operation 2 on Machine 2 duration 56 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 75 mins.
Operation 1 on Machine 0 duration 13 mins.
Operation 2 on Machine 1 duration 25 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 15 mins.
Operation 1 on Machine 1 duration 61 mins.
Operation 2 on Machine 0 duration 28 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 55 mins.
Operation 1 on Machine 0 duration 75 mins.
Operation 2 on Machine 2 duration 27 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 9 mins.
Operation 1 on Machine 0 duration 1 mins.
Operation 2 on Machine 1 duration 67 mins.
| null |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 77 mins.
Job 3 Operation 0 duration 60 mins.
Job 5 Operation 0 duration 6 mins.
Job 6 Operation 1 duration 13 mins.
Job 8 Operation 1 duration 75 mins.
Job 9 Operation 1 duration 1 mins.
Job 0 Operation 2 duration 57 mins.
Job 1 Operation 2 duration 44 mins.
Job 4 Operation 2 duration 3 mins.
Job 7 Operation 2 duration 28 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 36 mins.
Job 4 Operation 0 duration 33 mins.
Job 8 Operation 0 duration 55 mins.
Job 1 Operation 1 duration 17 mins.
Job 2 Operation 1 duration 28 mins.
Job 3 Operation 1 duration 30 mins.
Job 5 Operation 1 duration 24 mins.
Job 7 Operation 1 duration 61 mins.
Job 6 Operation 2 duration 25 mins.
Job 9 Operation 2 duration 67 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 24 mins.
Job 6 Operation 0 duration 75 mins.
Job 7 Operation 0 duration 15 mins.
Job 9 Operation 0 duration 9 mins.
Job 0 Operation 1 duration 68 mins.
Job 4 Operation 1 duration 36 mins.
Job 2 Operation 2 duration 76 mins.
Job 3 Operation 2 duration 30 mins.
Job 5 Operation 2 duration 56 mins.
Job 8 Operation 2 duration 27 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 6 -> 6
Job 4 Operation 0 on Machine 1 : 0 + 33 -> 33
Job 9 Operation 0 on Machine 2 : 0 + 9 -> 9
Job 3 Operation 0 on Machine 0 : 6 + 60 -> 66
Job 7 Operation 0 on Machine 2 : 9 + 15 -> 24
Job 1 Operation 0 on Machine 2 : 24 + 24 -> 48
Job 5 Operation 1 on Machine 1 : 33 + 24 -> 57
Job 4 Operation 1 on Machine 2 : 48 + 36 -> 84
Job 1 Operation 1 on Machine 1 : 57 + 17 -> 74
Job 9 Operation 1 on Machine 0 : 66 + 1 -> 67
Job 2 Operation 0 on Machine 0 : 67 + 77 -> 144
Job 3 Operation 1 on Machine 1 : 74 + 30 -> 104
Job 5 Operation 2 on Machine 2 : 84 + 56 -> 140
Job 0 Operation 0 on Machine 1 : 104 + 36 -> 140
Job 8 Operation 0 on Machine 1 : 140 + 55 -> 195
Job 3 Operation 2 on Machine 2 : 140 + 30 -> 170
Job 4 Operation 2 on Machine 0 : 144 + 3 -> 147
Job 1 Operation 2 on Machine 0 : 147 + 44 -> 191
Job 0 Operation 1 on Machine 2 : 170 + 68 -> 238
Job 8 Operation 1 on Machine 0 : 195 + 75 -> 270
Job 2 Operation 1 on Machine 1 : 195 + 28 -> 223
Job 7 Operation 1 on Machine 1 : 223 + 61 -> 284
Job 6 Operation 0 on Machine 2 : 238 + 75 -> 313
Job 0 Operation 2 on Machine 0 : 270 + 57 -> 327
Job 9 Operation 2 on Machine 1 : 284 + 67 -> 351
Job 8 Operation 2 on Machine 2 : 313 + 27 -> 340
Job 6 Operation 1 on Machine 0 : 327 + 13 -> 340
Job 7 Operation 2 on Machine 0 : 340 + 28 -> 368
Job 2 Operation 2 on Machine 2 : 340 + 76 -> 416
Job 6 Operation 2 on Machine 1 : 351 + 25 -> 376
Makespan: 416.0, as it is the maximum end completion time of Operation 2
| null |
|
7 | 2 |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 70 mins.
Operation 1 on Machine 1 duration 58 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 127 mins.
Operation 1 on Machine 0 duration 147 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 61 mins.
Operation 1 on Machine 0 duration 21 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 125 mins.
Operation 1 on Machine 1 duration 146 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 94 mins.
Operation 1 on Machine 1 duration 10 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 88 mins.
Operation 1 on Machine 0 duration 28 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 155 mins.
Operation 1 on Machine 1 duration 157 mins.
| null |
Optimize schedule for 7 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 70 mins.
Job 3 Operation 0 duration 125 mins.
Job 4 Operation 0 duration 94 mins.
Job 6 Operation 0 duration 155 mins.
Job 1 Operation 1 duration 147 mins.
Job 2 Operation 1 duration 21 mins.
Job 5 Operation 1 duration 28 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 127 mins.
Job 2 Operation 0 duration 61 mins.
Job 5 Operation 0 duration 88 mins.
Job 0 Operation 1 duration 58 mins.
Job 3 Operation 1 duration 146 mins.
Job 4 Operation 1 duration 10 mins.
Job 6 Operation 1 duration 157 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 155 -> 155
Job 2 Operation 0 on Machine 1 : 0 + 61 -> 61
Job 5 Operation 0 on Machine 1 : 61 + 88 -> 149
Job 1 Operation 0 on Machine 1 : 149 + 127 -> 276
Job 4 Operation 0 on Machine 0 : 155 + 94 -> 249
Job 0 Operation 0 on Machine 0 : 249 + 70 -> 319
Job 4 Operation 1 on Machine 1 : 276 + 10 -> 286
Job 6 Operation 1 on Machine 1 : 286 + 157 -> 443
Job 3 Operation 0 on Machine 0 : 319 + 125 -> 444
Job 0 Operation 1 on Machine 1 : 443 + 58 -> 501
Job 1 Operation 1 on Machine 0 : 444 + 147 -> 591
Job 3 Operation 1 on Machine 1 : 501 + 146 -> 647
Job 2 Operation 1 on Machine 0 : 591 + 21 -> 612
Job 5 Operation 1 on Machine 0 : 612 + 28 -> 640
Makespan: 647.0, as it is the maximum end completion time of Operation 1
| null |
|
8 | 6 |
Optimize schedule for 8 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 210 mins.
Operation 1 on Machine 0 duration 96 mins.
Operation 2 on Machine 1 duration 2 mins.
Operation 3 on Machine 2 duration 55 mins.
Operation 4 on Machine 5 duration 365 mins.
Operation 5 on Machine 3 duration 353 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 451 mins.
Operation 1 on Machine 4 duration 144 mins.
Operation 2 on Machine 5 duration 326 mins.
Operation 3 on Machine 2 duration 27 mins.
Operation 4 on Machine 0 duration 443 mins.
Operation 5 on Machine 3 duration 229 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 434 mins.
Operation 1 on Machine 2 duration 17 mins.
Operation 2 on Machine 5 duration 245 mins.
Operation 3 on Machine 1 duration 66 mins.
Operation 4 on Machine 3 duration 132 mins.
Operation 5 on Machine 0 duration 432 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 16 mins.
Operation 1 on Machine 0 duration 178 mins.
Operation 2 on Machine 1 duration 326 mins.
Operation 3 on Machine 5 duration 185 mins.
Operation 4 on Machine 3 duration 250 mins.
Operation 5 on Machine 2 duration 13 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 259 mins.
Operation 1 on Machine 3 duration 337 mins.
Operation 2 on Machine 4 duration 351 mins.
Operation 3 on Machine 2 duration 118 mins.
Operation 4 on Machine 0 duration 142 mins.
Operation 5 on Machine 5 duration 265 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 183 mins.
Operation 1 on Machine 4 duration 387 mins.
Operation 2 on Machine 1 duration 333 mins.
Operation 3 on Machine 0 duration 86 mins.
Operation 4 on Machine 5 duration 174 mins.
Operation 5 on Machine 3 duration 49 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 268 mins.
Operation 1 on Machine 4 duration 90 mins.
Operation 2 on Machine 2 duration 363 mins.
Operation 3 on Machine 1 duration 426 mins.
Operation 4 on Machine 5 duration 281 mins.
Operation 5 on Machine 0 duration 42 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 291 mins.
Operation 1 on Machine 5 duration 82 mins.
Operation 2 on Machine 0 duration 323 mins.
Operation 3 on Machine 4 duration 259 mins.
Operation 4 on Machine 3 duration 435 mins.
Operation 5 on Machine 2 duration 240 mins.
| null |
Optimize schedule for 8 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 96 mins.
Job 3 Operation 1 duration 178 mins.
Job 7 Operation 2 duration 323 mins.
Job 5 Operation 3 duration 86 mins.
Job 1 Operation 4 duration 443 mins.
Job 4 Operation 4 duration 142 mins.
Job 2 Operation 5 duration 432 mins.
Job 6 Operation 5 duration 42 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 451 mins.
Job 4 Operation 0 duration 259 mins.
Job 7 Operation 0 duration 291 mins.
Job 0 Operation 2 duration 2 mins.
Job 3 Operation 2 duration 326 mins.
Job 5 Operation 2 duration 333 mins.
Job 2 Operation 3 duration 66 mins.
Job 6 Operation 3 duration 426 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 183 mins.
Job 2 Operation 1 duration 17 mins.
Job 6 Operation 2 duration 363 mins.
Job 0 Operation 3 duration 55 mins.
Job 1 Operation 3 duration 27 mins.
Job 4 Operation 3 duration 118 mins.
Job 3 Operation 5 duration 13 mins.
Job 7 Operation 5 duration 240 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 268 mins.
Job 4 Operation 1 duration 337 mins.
Job 2 Operation 4 duration 132 mins.
Job 3 Operation 4 duration 250 mins.
Job 7 Operation 4 duration 435 mins.
Job 0 Operation 5 duration 353 mins.
Job 1 Operation 5 duration 229 mins.
Job 5 Operation 5 duration 49 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 210 mins.
Job 2 Operation 0 duration 434 mins.
Job 3 Operation 0 duration 16 mins.
Job 1 Operation 1 duration 144 mins.
Job 5 Operation 1 duration 387 mins.
Job 6 Operation 1 duration 90 mins.
Job 4 Operation 2 duration 351 mins.
Job 7 Operation 3 duration 259 mins.
Machine 5 is used for the following Operations:
Job 7 Operation 1 duration 82 mins.
Job 1 Operation 2 duration 326 mins.
Job 2 Operation 2 duration 245 mins.
Job 3 Operation 3 duration 185 mins.
Job 0 Operation 4 duration 365 mins.
Job 5 Operation 4 duration 174 mins.
Job 6 Operation 4 duration 281 mins.
Job 4 Operation 5 duration 265 mins.
| null |
Solution:
Job 7 Operation 0 on Machine 1 : 0 + 291 -> 291
Job 5 Operation 0 on Machine 2 : 0 + 183 -> 183
Job 6 Operation 0 on Machine 3 : 0 + 268 -> 268
Job 0 Operation 0 on Machine 4 : 0 + 210 -> 210
Job 0 Operation 1 on Machine 0 : 210 + 96 -> 306
Job 2 Operation 0 on Machine 4 : 210 + 434 -> 644
Job 4 Operation 0 on Machine 1 : 291 + 259 -> 550
Job 7 Operation 1 on Machine 5 : 291 + 82 -> 373
Job 7 Operation 2 on Machine 0 : 373 + 323 -> 696
Job 0 Operation 2 on Machine 1 : 550 + 2 -> 552
Job 4 Operation 1 on Machine 3 : 550 + 337 -> 887
Job 1 Operation 0 on Machine 1 : 552 + 451 -> 1003
Job 2 Operation 1 on Machine 2 : 644 + 17 -> 661
Job 3 Operation 0 on Machine 4 : 644 + 16 -> 660
Job 6 Operation 1 on Machine 4 : 660 + 90 -> 750
Job 0 Operation 3 on Machine 2 : 661 + 55 -> 716
Job 2 Operation 2 on Machine 5 : 661 + 245 -> 906
Job 3 Operation 1 on Machine 0 : 696 + 178 -> 874
Job 6 Operation 2 on Machine 2 : 750 + 363 -> 1113
Job 7 Operation 3 on Machine 4 : 750 + 259 -> 1009
Job 0 Operation 4 on Machine 5 : 906 + 365 -> 1271
Job 2 Operation 3 on Machine 1 : 1003 + 66 -> 1069
Job 1 Operation 1 on Machine 4 : 1009 + 144 -> 1153
Job 3 Operation 2 on Machine 1 : 1069 + 326 -> 1395
Job 2 Operation 4 on Machine 3 : 1069 + 132 -> 1201
Job 4 Operation 2 on Machine 4 : 1153 + 351 -> 1504
Job 2 Operation 5 on Machine 0 : 1201 + 432 -> 1633
Job 7 Operation 4 on Machine 3 : 1201 + 435 -> 1636
Job 1 Operation 2 on Machine 5 : 1271 + 326 -> 1597
Job 6 Operation 3 on Machine 1 : 1395 + 426 -> 1821
Job 4 Operation 3 on Machine 2 : 1504 + 118 -> 1622
Job 5 Operation 1 on Machine 4 : 1504 + 387 -> 1891
Job 3 Operation 3 on Machine 5 : 1597 + 185 -> 1782
Job 1 Operation 3 on Machine 2 : 1622 + 27 -> 1649
Job 4 Operation 4 on Machine 0 : 1633 + 142 -> 1775
Job 0 Operation 5 on Machine 3 : 1636 + 353 -> 1989
Job 7 Operation 5 on Machine 2 : 1649 + 240 -> 1889
Job 1 Operation 4 on Machine 0 : 1775 + 443 -> 2218
Job 4 Operation 5 on Machine 5 : 1782 + 265 -> 2047
Job 5 Operation 2 on Machine 1 : 1891 + 333 -> 2224
Job 3 Operation 4 on Machine 3 : 1989 + 250 -> 2239
Job 6 Operation 4 on Machine 5 : 2047 + 281 -> 2328
Job 5 Operation 3 on Machine 0 : 2224 + 86 -> 2310
Job 3 Operation 5 on Machine 2 : 2239 + 13 -> 2252
Job 1 Operation 5 on Machine 3 : 2239 + 229 -> 2468
Job 6 Operation 5 on Machine 0 : 2328 + 42 -> 2370
Job 5 Operation 4 on Machine 5 : 2328 + 174 -> 2502
Job 5 Operation 5 on Machine 3 : 2502 + 49 -> 2551
Makespan: 2551.0, as it is the maximum end completion time of Operation 5
| null |
|
6 | 2 |
Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 144 mins.
Operation 1 on Machine 0 duration 53 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 185 mins.
Operation 1 on Machine 1 duration 223 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 42 mins.
Operation 1 on Machine 0 duration 281 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 139 mins.
Operation 1 on Machine 0 duration 185 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 26 mins.
Operation 1 on Machine 1 duration 131 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 290 mins.
Operation 1 on Machine 1 duration 312 mins.
| null |
Optimize schedule for 6 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 185 mins.
Job 4 Operation 0 duration 26 mins.
Job 5 Operation 0 duration 290 mins.
Job 0 Operation 1 duration 53 mins.
Job 2 Operation 1 duration 281 mins.
Job 3 Operation 1 duration 185 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 144 mins.
Job 2 Operation 0 duration 42 mins.
Job 3 Operation 0 duration 139 mins.
Job 1 Operation 1 duration 223 mins.
Job 4 Operation 1 duration 131 mins.
Job 5 Operation 1 duration 312 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 26 -> 26
Job 2 Operation 0 on Machine 1 : 0 + 42 -> 42
Job 1 Operation 0 on Machine 0 : 26 + 185 -> 211
Job 0 Operation 0 on Machine 1 : 42 + 144 -> 186
Job 4 Operation 1 on Machine 1 : 186 + 131 -> 317
Job 0 Operation 1 on Machine 0 : 211 + 53 -> 264
Job 5 Operation 0 on Machine 0 : 264 + 290 -> 554
Job 1 Operation 1 on Machine 1 : 317 + 223 -> 540
Job 3 Operation 0 on Machine 1 : 540 + 139 -> 679
Job 2 Operation 1 on Machine 0 : 554 + 281 -> 835
Job 5 Operation 1 on Machine 1 : 679 + 312 -> 991
Job 3 Operation 1 on Machine 0 : 835 + 185 -> 1020
Makespan: 1020.0, as it is the maximum end completion time of Operation 1
| null |
|
10 | 10 |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 14 mins.
Operation 1 on Machine 3 duration 9 mins.
Operation 2 on Machine 2 duration 40 mins.
Operation 3 on Machine 9 duration 39 mins.
Operation 4 on Machine 7 duration 20 mins.
Operation 5 on Machine 5 duration 31 mins.
Operation 6 on Machine 1 duration 47 mins.
Operation 7 on Machine 8 duration 27 mins.
Operation 8 on Machine 6 duration 5 mins.
Operation 9 on Machine 4 duration 11 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 5 duration 35 mins.
Operation 1 on Machine 6 duration 45 mins.
Operation 2 on Machine 8 duration 45 mins.
Operation 3 on Machine 4 duration 15 mins.
Operation 4 on Machine 0 duration 5 mins.
Operation 5 on Machine 3 duration 42 mins.
Operation 6 on Machine 9 duration 9 mins.
Operation 7 on Machine 7 duration 9 mins.
Operation 8 on Machine 1 duration 34 mins.
Operation 9 on Machine 2 duration 29 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 11 mins.
Operation 1 on Machine 6 duration 5 mins.
Operation 2 on Machine 9 duration 2 mins.
Operation 3 on Machine 5 duration 9 mins.
Operation 4 on Machine 8 duration 43 mins.
Operation 5 on Machine 0 duration 2 mins.
Operation 6 on Machine 2 duration 41 mins.
Operation 7 on Machine 4 duration 20 mins.
Operation 8 on Machine 3 duration 19 mins.
Operation 9 on Machine 1 duration 14 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 20 mins.
Operation 1 on Machine 3 duration 30 mins.
Operation 2 on Machine 6 duration 4 mins.
Operation 3 on Machine 8 duration 19 mins.
Operation 4 on Machine 9 duration 36 mins.
Operation 5 on Machine 0 duration 46 mins.
Operation 6 on Machine 5 duration 11 mins.
Operation 7 on Machine 1 duration 27 mins.
Operation 8 on Machine 7 duration 36 mins.
Operation 9 on Machine 2 duration 7 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 44 mins.
Operation 1 on Machine 2 duration 4 mins.
Operation 2 on Machine 4 duration 37 mins.
Operation 3 on Machine 6 duration 46 mins.
Operation 4 on Machine 3 duration 33 mins.
Operation 5 on Machine 9 duration 10 mins.
Operation 6 on Machine 1 duration 36 mins.
Operation 7 on Machine 8 duration 3 mins.
Operation 8 on Machine 5 duration 46 mins.
Operation 9 on Machine 0 duration 33 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 33 mins.
Operation 1 on Machine 3 duration 36 mins.
Operation 2 on Machine 9 duration 11 mins.
Operation 3 on Machine 4 duration 3 mins.
Operation 4 on Machine 8 duration 26 mins.
Operation 5 on Machine 5 duration 41 mins.
Operation 6 on Machine 2 duration 15 mins.
Operation 7 on Machine 7 duration 25 mins.
Operation 8 on Machine 1 duration 20 mins.
Operation 9 on Machine 6 duration 46 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 9 duration 34 mins.
Operation 1 on Machine 8 duration 24 mins.
Operation 2 on Machine 6 duration 47 mins.
Operation 3 on Machine 3 duration 32 mins.
Operation 4 on Machine 4 duration 40 mins.
Operation 5 on Machine 0 duration 42 mins.
Operation 6 on Machine 2 duration 45 mins.
Operation 7 on Machine 7 duration 17 mins.
Operation 8 on Machine 5 duration 47 mins.
Operation 9 on Machine 1 duration 8 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 8 duration 47 mins.
Operation 1 on Machine 5 duration 23 mins.
Operation 2 on Machine 7 duration 45 mins.
Operation 3 on Machine 1 duration 8 mins.
Operation 4 on Machine 2 duration 28 mins.
Operation 5 on Machine 6 duration 46 mins.
Operation 6 on Machine 4 duration 27 mins.
Operation 7 on Machine 0 duration 44 mins.
Operation 8 on Machine 9 duration 26 mins.
Operation 9 on Machine 3 duration 3 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 20 mins.
Operation 1 on Machine 6 duration 29 mins.
Operation 2 on Machine 3 duration 6 mins.
Operation 3 on Machine 9 duration 14 mins.
Operation 4 on Machine 8 duration 7 mins.
Operation 5 on Machine 5 duration 39 mins.
Operation 6 on Machine 2 duration 47 mins.
Operation 7 on Machine 1 duration 31 mins.
Operation 8 on Machine 4 duration 27 mins.
Operation 9 on Machine 7 duration 31 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 5 duration 35 mins.
Operation 1 on Machine 6 duration 26 mins.
Operation 2 on Machine 9 duration 5 mins.
Operation 3 on Machine 3 duration 4 mins.
Operation 4 on Machine 4 duration 3 mins.
Operation 5 on Machine 8 duration 5 mins.
Operation 6 on Machine 7 duration 29 mins.
Operation 7 on Machine 0 duration 14 mins.
Operation 8 on Machine 1 duration 12 mins.
Operation 9 on Machine 2 duration 3 mins.
| null |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 14 mins.
Job 5 Operation 0 duration 33 mins.
Job 8 Operation 0 duration 20 mins.
Job 1 Operation 4 duration 5 mins.
Job 2 Operation 5 duration 2 mins.
Job 3 Operation 5 duration 46 mins.
Job 6 Operation 5 duration 42 mins.
Job 7 Operation 7 duration 44 mins.
Job 9 Operation 7 duration 14 mins.
Job 4 Operation 9 duration 33 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 3 duration 8 mins.
Job 0 Operation 6 duration 47 mins.
Job 4 Operation 6 duration 36 mins.
Job 3 Operation 7 duration 27 mins.
Job 8 Operation 7 duration 31 mins.
Job 1 Operation 8 duration 34 mins.
Job 5 Operation 8 duration 20 mins.
Job 9 Operation 8 duration 12 mins.
Job 2 Operation 9 duration 14 mins.
Job 6 Operation 9 duration 8 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 1 duration 4 mins.
Job 0 Operation 2 duration 40 mins.
Job 7 Operation 4 duration 28 mins.
Job 2 Operation 6 duration 41 mins.
Job 5 Operation 6 duration 15 mins.
Job 6 Operation 6 duration 45 mins.
Job 8 Operation 6 duration 47 mins.
Job 1 Operation 9 duration 29 mins.
Job 3 Operation 9 duration 7 mins.
Job 9 Operation 9 duration 3 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 9 mins.
Job 3 Operation 1 duration 30 mins.
Job 5 Operation 1 duration 36 mins.
Job 8 Operation 2 duration 6 mins.
Job 6 Operation 3 duration 32 mins.
Job 9 Operation 3 duration 4 mins.
Job 4 Operation 4 duration 33 mins.
Job 1 Operation 5 duration 42 mins.
Job 2 Operation 8 duration 19 mins.
Job 7 Operation 9 duration 3 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 20 mins.
Job 4 Operation 2 duration 37 mins.
Job 1 Operation 3 duration 15 mins.
Job 5 Operation 3 duration 3 mins.
Job 6 Operation 4 duration 40 mins.
Job 9 Operation 4 duration 3 mins.
Job 7 Operation 6 duration 27 mins.
Job 2 Operation 7 duration 20 mins.
Job 8 Operation 8 duration 27 mins.
Job 0 Operation 9 duration 11 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 0 duration 35 mins.
Job 9 Operation 0 duration 35 mins.
Job 7 Operation 1 duration 23 mins.
Job 2 Operation 3 duration 9 mins.
Job 0 Operation 5 duration 31 mins.
Job 5 Operation 5 duration 41 mins.
Job 8 Operation 5 duration 39 mins.
Job 3 Operation 6 duration 11 mins.
Job 4 Operation 8 duration 46 mins.
Job 6 Operation 8 duration 47 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 1 duration 45 mins.
Job 2 Operation 1 duration 5 mins.
Job 8 Operation 1 duration 29 mins.
Job 9 Operation 1 duration 26 mins.
Job 3 Operation 2 duration 4 mins.
Job 6 Operation 2 duration 47 mins.
Job 4 Operation 3 duration 46 mins.
Job 7 Operation 5 duration 46 mins.
Job 0 Operation 8 duration 5 mins.
Job 5 Operation 9 duration 46 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 11 mins.
Job 4 Operation 0 duration 44 mins.
Job 7 Operation 2 duration 45 mins.
Job 0 Operation 4 duration 20 mins.
Job 9 Operation 6 duration 29 mins.
Job 1 Operation 7 duration 9 mins.
Job 5 Operation 7 duration 25 mins.
Job 6 Operation 7 duration 17 mins.
Job 3 Operation 8 duration 36 mins.
Job 8 Operation 9 duration 31 mins.
Machine 8 is used for the following Operations:
Job 7 Operation 0 duration 47 mins.
Job 6 Operation 1 duration 24 mins.
Job 1 Operation 2 duration 45 mins.
Job 3 Operation 3 duration 19 mins.
Job 2 Operation 4 duration 43 mins.
Job 5 Operation 4 duration 26 mins.
Job 8 Operation 4 duration 7 mins.
Job 9 Operation 5 duration 5 mins.
Job 0 Operation 7 duration 27 mins.
Job 4 Operation 7 duration 3 mins.
Machine 9 is used for the following Operations:
Job 6 Operation 0 duration 34 mins.
Job 2 Operation 2 duration 2 mins.
Job 5 Operation 2 duration 11 mins.
Job 9 Operation 2 duration 5 mins.
Job 0 Operation 3 duration 39 mins.
Job 8 Operation 3 duration 14 mins.
Job 3 Operation 4 duration 36 mins.
Job 4 Operation 5 duration 10 mins.
Job 1 Operation 6 duration 9 mins.
Job 7 Operation 8 duration 26 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 20 -> 20
Job 3 Operation 0 on Machine 4 : 0 + 20 -> 20
Job 1 Operation 0 on Machine 5 : 0 + 35 -> 35
Job 2 Operation 0 on Machine 7 : 0 + 11 -> 11
Job 7 Operation 0 on Machine 8 : 0 + 47 -> 47
Job 6 Operation 0 on Machine 9 : 0 + 34 -> 34
Job 2 Operation 1 on Machine 6 : 11 + 5 -> 16
Job 4 Operation 0 on Machine 7 : 11 + 44 -> 55
Job 0 Operation 0 on Machine 0 : 20 + 14 -> 34
Job 8 Operation 1 on Machine 6 : 20 + 29 -> 49
Job 5 Operation 0 on Machine 0 : 34 + 33 -> 67
Job 0 Operation 1 on Machine 3 : 34 + 9 -> 43
Job 2 Operation 2 on Machine 9 : 34 + 2 -> 36
Job 2 Operation 3 on Machine 5 : 36 + 9 -> 45
Job 0 Operation 2 on Machine 2 : 43 + 40 -> 83
Job 7 Operation 1 on Machine 5 : 47 + 23 -> 70
Job 6 Operation 1 on Machine 8 : 47 + 24 -> 71
Job 8 Operation 2 on Machine 3 : 49 + 6 -> 55
Job 1 Operation 1 on Machine 6 : 49 + 45 -> 94
Job 3 Operation 1 on Machine 3 : 55 + 30 -> 85
Job 8 Operation 3 on Machine 9 : 55 + 14 -> 69
Job 7 Operation 2 on Machine 7 : 70 + 45 -> 115
Job 8 Operation 4 on Machine 8 : 71 + 7 -> 78
Job 8 Operation 5 on Machine 5 : 78 + 39 -> 117
Job 2 Operation 4 on Machine 8 : 78 + 43 -> 121
Job 4 Operation 1 on Machine 2 : 83 + 4 -> 87
Job 0 Operation 3 on Machine 9 : 83 + 39 -> 122
Job 5 Operation 1 on Machine 3 : 85 + 36 -> 121
Job 4 Operation 2 on Machine 4 : 87 + 37 -> 124
Job 3 Operation 2 on Machine 6 : 94 + 4 -> 98
Job 6 Operation 2 on Machine 6 : 98 + 47 -> 145
Job 7 Operation 3 on Machine 1 : 115 + 8 -> 123
Job 8 Operation 6 on Machine 2 : 117 + 47 -> 164
Job 2 Operation 5 on Machine 0 : 121 + 2 -> 123
Job 3 Operation 3 on Machine 8 : 121 + 19 -> 140
Job 0 Operation 4 on Machine 7 : 122 + 20 -> 142
Job 5 Operation 2 on Machine 9 : 122 + 11 -> 133
Job 5 Operation 3 on Machine 4 : 133 + 3 -> 136
Job 5 Operation 4 on Machine 8 : 140 + 26 -> 166
Job 3 Operation 4 on Machine 9 : 140 + 36 -> 176
Job 0 Operation 5 on Machine 5 : 142 + 31 -> 173
Job 6 Operation 3 on Machine 3 : 145 + 32 -> 177
Job 4 Operation 3 on Machine 6 : 145 + 46 -> 191
Job 8 Operation 7 on Machine 1 : 164 + 31 -> 195
Job 7 Operation 4 on Machine 2 : 164 + 28 -> 192
Job 1 Operation 2 on Machine 8 : 166 + 45 -> 211
Job 5 Operation 5 on Machine 5 : 173 + 41 -> 214
Job 3 Operation 5 on Machine 0 : 176 + 46 -> 222
Job 6 Operation 4 on Machine 4 : 177 + 40 -> 217
Job 4 Operation 4 on Machine 3 : 191 + 33 -> 224
Job 7 Operation 5 on Machine 6 : 192 + 46 -> 238
Job 0 Operation 6 on Machine 1 : 195 + 47 -> 242
Job 5 Operation 6 on Machine 2 : 214 + 15 -> 229
Job 9 Operation 0 on Machine 5 : 214 + 35 -> 249
Job 1 Operation 3 on Machine 4 : 217 + 15 -> 232
Job 4 Operation 5 on Machine 9 : 224 + 10 -> 234
Job 2 Operation 6 on Machine 2 : 229 + 41 -> 270
Job 5 Operation 7 on Machine 7 : 229 + 25 -> 254
Job 1 Operation 4 on Machine 0 : 232 + 5 -> 237
Job 8 Operation 8 on Machine 4 : 232 + 27 -> 259
Job 6 Operation 5 on Machine 0 : 237 + 42 -> 279
Job 1 Operation 5 on Machine 3 : 237 + 42 -> 279
Job 4 Operation 6 on Machine 1 : 242 + 36 -> 278
Job 0 Operation 7 on Machine 8 : 242 + 27 -> 269
Job 3 Operation 6 on Machine 5 : 249 + 11 -> 260
Job 9 Operation 1 on Machine 6 : 249 + 26 -> 275
Job 7 Operation 6 on Machine 4 : 259 + 27 -> 286
Job 8 Operation 9 on Machine 7 : 259 + 31 -> 290
Job 0 Operation 8 on Machine 6 : 275 + 5 -> 280
Job 9 Operation 2 on Machine 9 : 275 + 5 -> 280
Job 5 Operation 8 on Machine 1 : 278 + 20 -> 298
Job 4 Operation 7 on Machine 8 : 278 + 3 -> 281
Job 6 Operation 6 on Machine 2 : 279 + 45 -> 324
Job 9 Operation 3 on Machine 3 : 280 + 4 -> 284
Job 1 Operation 6 on Machine 9 : 280 + 9 -> 289
Job 4 Operation 8 on Machine 5 : 281 + 46 -> 327
Job 7 Operation 7 on Machine 0 : 286 + 44 -> 330
Job 9 Operation 4 on Machine 4 : 286 + 3 -> 289
Job 2 Operation 7 on Machine 4 : 289 + 20 -> 309
Job 9 Operation 5 on Machine 8 : 289 + 5 -> 294
Job 1 Operation 7 on Machine 7 : 290 + 9 -> 299
Job 3 Operation 7 on Machine 1 : 298 + 27 -> 325
Job 5 Operation 9 on Machine 6 : 298 + 46 -> 344
Job 9 Operation 6 on Machine 7 : 299 + 29 -> 328
Job 2 Operation 8 on Machine 3 : 309 + 19 -> 328
Job 0 Operation 9 on Machine 4 : 309 + 11 -> 320
Job 1 Operation 8 on Machine 1 : 325 + 34 -> 359
Job 6 Operation 7 on Machine 7 : 328 + 17 -> 345
Job 9 Operation 7 on Machine 0 : 330 + 14 -> 344
Job 7 Operation 8 on Machine 9 : 330 + 26 -> 356
Job 4 Operation 9 on Machine 0 : 344 + 33 -> 377
Job 6 Operation 8 on Machine 5 : 345 + 47 -> 392
Job 3 Operation 8 on Machine 7 : 345 + 36 -> 381
Job 7 Operation 9 on Machine 3 : 356 + 3 -> 359
Job 2 Operation 9 on Machine 1 : 359 + 14 -> 373
Job 1 Operation 9 on Machine 2 : 359 + 29 -> 388
Job 9 Operation 8 on Machine 1 : 373 + 12 -> 385
Job 9 Operation 9 on Machine 2 : 388 + 3 -> 391
Job 3 Operation 9 on Machine 2 : 391 + 7 -> 398
Job 6 Operation 9 on Machine 1 : 392 + 8 -> 400
Makespan: 400.0, as it is the maximum end completion time of Operation 9
| null |
|
5 | 5 |
Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 239 mins.
Operation 1 on Machine 0 duration 221 mins.
Operation 2 on Machine 3 duration 189 mins.
Operation 3 on Machine 4 duration 272 mins.
Operation 4 on Machine 1 duration 240 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 202 mins.
Operation 1 on Machine 1 duration 277 mins.
Operation 2 on Machine 3 duration 334 mins.
Operation 3 on Machine 4 duration 3 mins.
Operation 4 on Machine 2 duration 160 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 164 mins.
Operation 1 on Machine 3 duration 219 mins.
Operation 2 on Machine 4 duration 148 mins.
Operation 3 on Machine 2 duration 259 mins.
Operation 4 on Machine 0 duration 22 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 167 mins.
Operation 1 on Machine 4 duration 306 mins.
Operation 2 on Machine 0 duration 145 mins.
Operation 3 on Machine 3 duration 213 mins.
Operation 4 on Machine 1 duration 151 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 234 mins.
Operation 1 on Machine 4 duration 275 mins.
Operation 2 on Machine 0 duration 51 mins.
Operation 3 on Machine 3 duration 143 mins.
Operation 4 on Machine 2 duration 151 mins.
| null |
Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 202 mins.
Job 0 Operation 1 duration 221 mins.
Job 3 Operation 2 duration 145 mins.
Job 4 Operation 2 duration 51 mins.
Job 2 Operation 4 duration 22 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 164 mins.
Job 4 Operation 0 duration 234 mins.
Job 1 Operation 1 duration 277 mins.
Job 0 Operation 4 duration 240 mins.
Job 3 Operation 4 duration 151 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 239 mins.
Job 3 Operation 0 duration 167 mins.
Job 2 Operation 3 duration 259 mins.
Job 1 Operation 4 duration 160 mins.
Job 4 Operation 4 duration 151 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 219 mins.
Job 0 Operation 2 duration 189 mins.
Job 1 Operation 2 duration 334 mins.
Job 3 Operation 3 duration 213 mins.
Job 4 Operation 3 duration 143 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 1 duration 306 mins.
Job 4 Operation 1 duration 275 mins.
Job 2 Operation 2 duration 148 mins.
Job 0 Operation 3 duration 272 mins.
Job 1 Operation 3 duration 3 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 202 -> 202
Job 2 Operation 0 on Machine 1 : 0 + 164 -> 164
Job 3 Operation 0 on Machine 2 : 0 + 167 -> 167
Job 2 Operation 1 on Machine 3 : 164 + 219 -> 383
Job 0 Operation 0 on Machine 2 : 167 + 239 -> 406
Job 3 Operation 1 on Machine 4 : 167 + 306 -> 473
Job 1 Operation 1 on Machine 1 : 202 + 277 -> 479
Job 0 Operation 1 on Machine 0 : 406 + 221 -> 627
Job 2 Operation 2 on Machine 4 : 473 + 148 -> 621
Job 4 Operation 0 on Machine 1 : 479 + 234 -> 713
Job 1 Operation 2 on Machine 3 : 479 + 334 -> 813
Job 3 Operation 2 on Machine 0 : 627 + 145 -> 772
Job 0 Operation 2 on Machine 3 : 813 + 189 -> 1002
Job 1 Operation 3 on Machine 4 : 813 + 3 -> 816
Job 1 Operation 4 on Machine 2 : 816 + 160 -> 976
Job 4 Operation 1 on Machine 4 : 816 + 275 -> 1091
Job 2 Operation 3 on Machine 2 : 976 + 259 -> 1235
Job 3 Operation 3 on Machine 3 : 1002 + 213 -> 1215
Job 4 Operation 2 on Machine 0 : 1091 + 51 -> 1142
Job 0 Operation 3 on Machine 4 : 1091 + 272 -> 1363
Job 3 Operation 4 on Machine 1 : 1215 + 151 -> 1366
Job 4 Operation 3 on Machine 3 : 1215 + 143 -> 1358
Job 2 Operation 4 on Machine 0 : 1235 + 22 -> 1257
Job 4 Operation 4 on Machine 2 : 1358 + 151 -> 1509
Job 0 Operation 4 on Machine 1 : 1366 + 240 -> 1606
Makespan: 1606.0, as it is the maximum end completion time of Operation 4
| null |
|
5 | 3 |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 13 mins.
Operation 1 on Machine 1 duration 279 mins.
Operation 2 on Machine 2 duration 97 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 26 mins.
Operation 1 on Machine 1 duration 27 mins.
Operation 2 on Machine 0 duration 261 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 28 mins.
Operation 1 on Machine 0 duration 80 mins.
Operation 2 on Machine 1 duration 283 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 184 mins.
Operation 1 on Machine 0 duration 233 mins.
Operation 2 on Machine 1 duration 289 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 279 mins.
Operation 1 on Machine 2 duration 77 mins.
Operation 2 on Machine 0 duration 223 mins.
| null |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 13 mins.
Job 2 Operation 1 duration 80 mins.
Job 3 Operation 1 duration 233 mins.
Job 1 Operation 2 duration 261 mins.
Job 4 Operation 2 duration 223 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 279 mins.
Job 0 Operation 1 duration 279 mins.
Job 1 Operation 1 duration 27 mins.
Job 2 Operation 2 duration 283 mins.
Job 3 Operation 2 duration 289 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 26 mins.
Job 2 Operation 0 duration 28 mins.
Job 3 Operation 0 duration 184 mins.
Job 4 Operation 1 duration 77 mins.
Job 0 Operation 2 duration 97 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 13 -> 13
Job 4 Operation 0 on Machine 1 : 0 + 279 -> 279
Job 1 Operation 0 on Machine 2 : 0 + 26 -> 26
Job 2 Operation 0 on Machine 2 : 26 + 28 -> 54
Job 2 Operation 1 on Machine 0 : 54 + 80 -> 134
Job 3 Operation 0 on Machine 2 : 54 + 184 -> 238
Job 3 Operation 1 on Machine 0 : 238 + 233 -> 471
Job 1 Operation 1 on Machine 1 : 279 + 27 -> 306
Job 4 Operation 1 on Machine 2 : 279 + 77 -> 356
Job 0 Operation 1 on Machine 1 : 306 + 279 -> 585
Job 4 Operation 2 on Machine 0 : 471 + 223 -> 694
Job 2 Operation 2 on Machine 1 : 585 + 283 -> 868
Job 0 Operation 2 on Machine 2 : 585 + 97 -> 682
Job 1 Operation 2 on Machine 0 : 694 + 261 -> 955
Job 3 Operation 2 on Machine 1 : 868 + 289 -> 1157
Makespan: 1157.0, as it is the maximum end completion time of Operation 2
| null |
|
3 | 3 |
Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 112 mins.
Operation 1 on Machine 2 duration 257 mins.
Operation 2 on Machine 1 duration 101 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 1 duration 81 mins.
Operation 2 on Machine 2 duration 20 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 300 mins.
Operation 1 on Machine 1 duration 13 mins.
Operation 2 on Machine 0 duration 216 mins.
| null |
Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 112 mins.
Job 1 Operation 0 duration 4 mins.
Job 2 Operation 2 duration 216 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 81 mins.
Job 2 Operation 1 duration 13 mins.
Job 0 Operation 2 duration 101 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 300 mins.
Job 0 Operation 1 duration 257 mins.
Job 1 Operation 2 duration 20 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 4 -> 4
Job 2 Operation 0 on Machine 2 : 0 + 300 -> 300
Job 0 Operation 0 on Machine 0 : 4 + 112 -> 116
Job 1 Operation 1 on Machine 1 : 4 + 81 -> 85
Job 2 Operation 1 on Machine 1 : 300 + 13 -> 313
Job 0 Operation 1 on Machine 2 : 300 + 257 -> 557
Job 2 Operation 2 on Machine 0 : 313 + 216 -> 529
Job 0 Operation 2 on Machine 1 : 557 + 101 -> 658
Job 1 Operation 2 on Machine 2 : 557 + 20 -> 577
Makespan: 658.0, as it is the maximum end completion time of Operation 2
| null |
|
10 | 7 |
Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 88 mins.
Operation 1 on Machine 5 duration 253 mins.
Operation 2 on Machine 1 duration 57 mins.
Operation 3 on Machine 2 duration 66 mins.
Operation 4 on Machine 6 duration 256 mins.
Operation 5 on Machine 0 duration 204 mins.
Operation 6 on Machine 4 duration 193 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 311 mins.
Operation 1 on Machine 0 duration 54 mins.
Operation 2 on Machine 6 duration 79 mins.
Operation 3 on Machine 5 duration 110 mins.
Operation 4 on Machine 2 duration 17 mins.
Operation 5 on Machine 4 duration 44 mins.
Operation 6 on Machine 3 duration 79 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 166 mins.
Operation 1 on Machine 1 duration 32 mins.
Operation 2 on Machine 0 duration 172 mins.
Operation 3 on Machine 5 duration 137 mins.
Operation 4 on Machine 6 duration 49 mins.
Operation 5 on Machine 3 duration 168 mins.
Operation 6 on Machine 4 duration 72 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 191 mins.
Operation 1 on Machine 2 duration 141 mins.
Operation 2 on Machine 0 duration 293 mins.
Operation 3 on Machine 5 duration 276 mins.
Operation 4 on Machine 3 duration 109 mins.
Operation 5 on Machine 4 duration 324 mins.
Operation 6 on Machine 6 duration 11 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 92 mins.
Operation 1 on Machine 2 duration 147 mins.
Operation 2 on Machine 4 duration 318 mins.
Operation 3 on Machine 6 duration 49 mins.
Operation 4 on Machine 3 duration 175 mins.
Operation 5 on Machine 1 duration 231 mins.
Operation 6 on Machine 5 duration 291 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 124 mins.
Operation 1 on Machine 3 duration 277 mins.
Operation 2 on Machine 0 duration 289 mins.
Operation 3 on Machine 1 duration 205 mins.
Operation 4 on Machine 6 duration 227 mins.
Operation 5 on Machine 4 duration 171 mins.
Operation 6 on Machine 2 duration 200 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 314 mins.
Operation 1 on Machine 3 duration 312 mins.
Operation 2 on Machine 2 duration 51 mins.
Operation 3 on Machine 4 duration 267 mins.
Operation 4 on Machine 0 duration 181 mins.
Operation 5 on Machine 6 duration 64 mins.
Operation 6 on Machine 5 duration 134 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 16 mins.
Operation 1 on Machine 0 duration 4 mins.
Operation 2 on Machine 2 duration 61 mins.
Operation 3 on Machine 3 duration 303 mins.
Operation 4 on Machine 6 duration 39 mins.
Operation 5 on Machine 1 duration 223 mins.
Operation 6 on Machine 4 duration 70 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 326 mins.
Operation 1 on Machine 1 duration 232 mins.
Operation 2 on Machine 2 duration 316 mins.
Operation 3 on Machine 4 duration 256 mins.
Operation 4 on Machine 0 duration 250 mins.
Operation 5 on Machine 6 duration 101 mins.
Operation 6 on Machine 3 duration 262 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 180 mins.
Operation 1 on Machine 1 duration 2 mins.
Operation 2 on Machine 5 duration 211 mins.
Operation 3 on Machine 0 duration 299 mins.
Operation 4 on Machine 3 duration 89 mins.
Operation 5 on Machine 6 duration 75 mins.
Operation 6 on Machine 2 duration 90 mins.
| null |
Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 92 mins.
Job 1 Operation 1 duration 54 mins.
Job 7 Operation 1 duration 4 mins.
Job 2 Operation 2 duration 172 mins.
Job 3 Operation 2 duration 293 mins.
Job 5 Operation 2 duration 289 mins.
Job 9 Operation 3 duration 299 mins.
Job 6 Operation 4 duration 181 mins.
Job 8 Operation 4 duration 250 mins.
Job 0 Operation 5 duration 204 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 311 mins.
Job 3 Operation 0 duration 191 mins.
Job 6 Operation 0 duration 314 mins.
Job 2 Operation 1 duration 32 mins.
Job 8 Operation 1 duration 232 mins.
Job 9 Operation 1 duration 2 mins.
Job 0 Operation 2 duration 57 mins.
Job 5 Operation 3 duration 205 mins.
Job 4 Operation 5 duration 231 mins.
Job 7 Operation 5 duration 223 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 166 mins.
Job 3 Operation 1 duration 141 mins.
Job 4 Operation 1 duration 147 mins.
Job 6 Operation 2 duration 51 mins.
Job 7 Operation 2 duration 61 mins.
Job 8 Operation 2 duration 316 mins.
Job 0 Operation 3 duration 66 mins.
Job 1 Operation 4 duration 17 mins.
Job 5 Operation 6 duration 200 mins.
Job 9 Operation 6 duration 90 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 88 mins.
Job 5 Operation 1 duration 277 mins.
Job 6 Operation 1 duration 312 mins.
Job 7 Operation 3 duration 303 mins.
Job 3 Operation 4 duration 109 mins.
Job 4 Operation 4 duration 175 mins.
Job 9 Operation 4 duration 89 mins.
Job 2 Operation 5 duration 168 mins.
Job 1 Operation 6 duration 79 mins.
Job 8 Operation 6 duration 262 mins.
Machine 4 is used for the following Operations:
Job 9 Operation 0 duration 180 mins.
Job 4 Operation 2 duration 318 mins.
Job 6 Operation 3 duration 267 mins.
Job 8 Operation 3 duration 256 mins.
Job 1 Operation 5 duration 44 mins.
Job 3 Operation 5 duration 324 mins.
Job 5 Operation 5 duration 171 mins.
Job 0 Operation 6 duration 193 mins.
Job 2 Operation 6 duration 72 mins.
Job 7 Operation 6 duration 70 mins.
Machine 5 is used for the following Operations:
Job 5 Operation 0 duration 124 mins.
Job 7 Operation 0 duration 16 mins.
Job 8 Operation 0 duration 326 mins.
Job 0 Operation 1 duration 253 mins.
Job 9 Operation 2 duration 211 mins.
Job 1 Operation 3 duration 110 mins.
Job 2 Operation 3 duration 137 mins.
Job 3 Operation 3 duration 276 mins.
Job 4 Operation 6 duration 291 mins.
Job 6 Operation 6 duration 134 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 2 duration 79 mins.
Job 4 Operation 3 duration 49 mins.
Job 0 Operation 4 duration 256 mins.
Job 2 Operation 4 duration 49 mins.
Job 5 Operation 4 duration 227 mins.
Job 7 Operation 4 duration 39 mins.
Job 6 Operation 5 duration 64 mins.
Job 8 Operation 5 duration 101 mins.
Job 9 Operation 5 duration 75 mins.
Job 3 Operation 6 duration 11 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 1 : 0 + 191 -> 191
Job 9 Operation 0 on Machine 4 : 0 + 180 -> 180
Job 7 Operation 0 on Machine 5 : 0 + 16 -> 16
Job 7 Operation 1 on Machine 0 : 16 + 4 -> 20
Job 8 Operation 0 on Machine 5 : 16 + 326 -> 342
Job 4 Operation 0 on Machine 0 : 20 + 92 -> 112
Job 7 Operation 2 on Machine 2 : 20 + 61 -> 81
Job 7 Operation 3 on Machine 3 : 81 + 303 -> 384
Job 9 Operation 1 on Machine 1 : 191 + 2 -> 193
Job 3 Operation 1 on Machine 2 : 191 + 141 -> 332
Job 6 Operation 0 on Machine 1 : 193 + 314 -> 507
Job 3 Operation 2 on Machine 0 : 332 + 293 -> 625
Job 4 Operation 1 on Machine 2 : 332 + 147 -> 479
Job 9 Operation 2 on Machine 5 : 342 + 211 -> 553
Job 0 Operation 0 on Machine 3 : 384 + 88 -> 472
Job 7 Operation 4 on Machine 6 : 384 + 39 -> 423
Job 2 Operation 0 on Machine 2 : 479 + 166 -> 645
Job 4 Operation 2 on Machine 4 : 479 + 318 -> 797
Job 8 Operation 1 on Machine 1 : 507 + 232 -> 739
Job 6 Operation 1 on Machine 3 : 507 + 312 -> 819
Job 5 Operation 0 on Machine 5 : 553 + 124 -> 677
Job 9 Operation 3 on Machine 0 : 625 + 299 -> 924
Job 0 Operation 1 on Machine 5 : 677 + 253 -> 930
Job 2 Operation 1 on Machine 1 : 739 + 32 -> 771
Job 7 Operation 5 on Machine 1 : 771 + 223 -> 994
Job 4 Operation 3 on Machine 6 : 797 + 49 -> 846
Job 6 Operation 2 on Machine 2 : 819 + 51 -> 870
Job 5 Operation 1 on Machine 3 : 819 + 277 -> 1096
Job 8 Operation 2 on Machine 2 : 870 + 316 -> 1186
Job 6 Operation 3 on Machine 4 : 870 + 267 -> 1137
Job 2 Operation 2 on Machine 0 : 924 + 172 -> 1096
Job 3 Operation 3 on Machine 5 : 930 + 276 -> 1206
Job 0 Operation 2 on Machine 1 : 994 + 57 -> 1051
Job 1 Operation 0 on Machine 1 : 1051 + 311 -> 1362
Job 5 Operation 2 on Machine 0 : 1096 + 289 -> 1385
Job 9 Operation 4 on Machine 3 : 1096 + 89 -> 1185
Job 7 Operation 6 on Machine 4 : 1137 + 70 -> 1207
Job 9 Operation 5 on Machine 6 : 1185 + 75 -> 1260
Job 0 Operation 3 on Machine 2 : 1186 + 66 -> 1252
Job 3 Operation 4 on Machine 3 : 1206 + 109 -> 1315
Job 2 Operation 3 on Machine 5 : 1206 + 137 -> 1343
Job 8 Operation 3 on Machine 4 : 1207 + 256 -> 1463
Job 0 Operation 4 on Machine 6 : 1260 + 256 -> 1516
Job 4 Operation 4 on Machine 3 : 1315 + 175 -> 1490
Job 1 Operation 1 on Machine 0 : 1385 + 54 -> 1439
Job 5 Operation 3 on Machine 1 : 1385 + 205 -> 1590
Job 6 Operation 4 on Machine 0 : 1439 + 181 -> 1620
Job 3 Operation 5 on Machine 4 : 1463 + 324 -> 1787
Job 1 Operation 2 on Machine 6 : 1516 + 79 -> 1595
Job 4 Operation 5 on Machine 1 : 1590 + 231 -> 1821
Job 1 Operation 3 on Machine 5 : 1595 + 110 -> 1705
Job 2 Operation 4 on Machine 6 : 1595 + 49 -> 1644
Job 8 Operation 4 on Machine 0 : 1620 + 250 -> 1870
Job 2 Operation 5 on Machine 3 : 1644 + 168 -> 1812
Job 5 Operation 4 on Machine 6 : 1644 + 227 -> 1871
Job 1 Operation 4 on Machine 2 : 1705 + 17 -> 1722
Job 9 Operation 6 on Machine 2 : 1722 + 90 -> 1812
Job 1 Operation 5 on Machine 4 : 1787 + 44 -> 1831
Job 4 Operation 6 on Machine 5 : 1821 + 291 -> 2112
Job 1 Operation 6 on Machine 3 : 1831 + 79 -> 1910
Job 2 Operation 6 on Machine 4 : 1831 + 72 -> 1903
Job 0 Operation 5 on Machine 0 : 1870 + 204 -> 2074
Job 8 Operation 5 on Machine 6 : 1871 + 101 -> 1972
Job 5 Operation 5 on Machine 4 : 1903 + 171 -> 2074
Job 8 Operation 6 on Machine 3 : 1972 + 262 -> 2234
Job 3 Operation 6 on Machine 6 : 1972 + 11 -> 1983
Job 6 Operation 5 on Machine 6 : 1983 + 64 -> 2047
Job 5 Operation 6 on Machine 2 : 2074 + 200 -> 2274
Job 0 Operation 6 on Machine 4 : 2074 + 193 -> 2267
Job 6 Operation 6 on Machine 5 : 2112 + 134 -> 2246
Makespan: 2274.0, as it is the maximum end completion time of Operation 6
| null |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.