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
⌀ |
|---|---|---|---|---|---|---|---|---|
4 | 4 |
Optimize schedule for 4 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 2 duration 75 mins.
Operation 1 on Machine 0 duration 84 mins.
Operation 2 on Machine 3 duration 89 mins.
Operation 3 on Machine 1 duration 9 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 103 mins.
Operation 1 on Machine 1 duration 110 mins.
Operation 2 on Machine 2 duration 94 mins.
Operation 3 on Machine 0 duration 111 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 110 mins.
Operation 1 on Machine 1 duration 83 mins.
Operation 2 on Machine 2 duration 149 mins.
Operation 3 on Machine 3 duration 90 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 92 mins.
Operation 1 on Machine 0 duration 132 mins.
Operation 2 on Machine 3 duration 142 mins.
Operation 3 on Machine 1 duration 35 mins.
| null |
Optimize schedule for 4 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 110 mins.
Job 0 Operation 1 duration 84 mins.
Job 3 Operation 1 duration 132 mins.
Job 1 Operation 3 duration 111 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 110 mins.
Job 2 Operation 1 duration 83 mins.
Job 0 Operation 3 duration 9 mins.
Job 3 Operation 3 duration 35 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 75 mins.
Job 3 Operation 0 duration 92 mins.
Job 1 Operation 2 duration 94 mins.
Job 2 Operation 2 duration 149 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 103 mins.
Job 0 Operation 2 duration 89 mins.
Job 3 Operation 2 duration 142 mins.
Job 2 Operation 3 duration 90 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 110 -> 110
Job 0 Operation 0 on Machine 2 : 0 + 75 -> 75
Job 1 Operation 0 on Machine 3 : 0 + 103 -> 103
Job 3 Operation 0 on Machine 2 : 75 + 92 -> 167
Job 1 Operation 1 on Machine 1 : 103 + 110 -> 213
Job 0 Operation 1 on Machine 0 : 110 + 84 -> 194
Job 3 Operation 1 on Machine 0 : 194 + 132 -> 326
Job 0 Operation 2 on Machine 3 : 194 + 89 -> 283
Job 2 Operation 1 on Machine 1 : 213 + 83 -> 296
Job 1 Operation 2 on Machine 2 : 213 + 94 -> 307
Job 0 Operation 3 on Machine 1 : 296 + 9 -> 305
Job 2 Operation 2 on Machine 2 : 307 + 149 -> 456
Job 1 Operation 3 on Machine 0 : 326 + 111 -> 437
Job 3 Operation 2 on Machine 3 : 326 + 142 -> 468
Job 3 Operation 3 on Machine 1 : 468 + 35 -> 503
Job 2 Operation 3 on Machine 3 : 468 + 90 -> 558
Makespan: 558.0, as it is the maximum end completion time of Operation 3
| 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 7 mins.
Operation 1 on Machine 4 duration 278 mins.
Operation 2 on Machine 0 duration 106 mins.
Operation 3 on Machine 1 duration 256 mins.
Operation 4 on Machine 3 duration 158 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 323 mins.
Operation 1 on Machine 3 duration 280 mins.
Operation 2 on Machine 1 duration 134 mins.
Operation 3 on Machine 2 duration 12 mins.
Operation 4 on Machine 0 duration 149 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 41 mins.
Operation 1 on Machine 0 duration 173 mins.
Operation 2 on Machine 2 duration 191 mins.
Operation 3 on Machine 1 duration 166 mins.
Operation 4 on Machine 3 duration 167 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 277 mins.
Operation 1 on Machine 2 duration 143 mins.
Operation 2 on Machine 0 duration 107 mins.
Operation 3 on Machine 3 duration 206 mins.
Operation 4 on Machine 4 duration 116 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 188 mins.
Operation 1 on Machine 4 duration 264 mins.
Operation 2 on Machine 1 duration 296 mins.
Operation 3 on Machine 0 duration 131 mins.
Operation 4 on Machine 2 duration 73 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 2 Operation 1 duration 173 mins.
Job 0 Operation 2 duration 106 mins.
Job 3 Operation 2 duration 107 mins.
Job 4 Operation 3 duration 131 mins.
Job 1 Operation 4 duration 149 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 277 mins.
Job 1 Operation 2 duration 134 mins.
Job 4 Operation 2 duration 296 mins.
Job 0 Operation 3 duration 256 mins.
Job 2 Operation 3 duration 166 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 7 mins.
Job 3 Operation 1 duration 143 mins.
Job 2 Operation 2 duration 191 mins.
Job 1 Operation 3 duration 12 mins.
Job 4 Operation 4 duration 73 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 188 mins.
Job 1 Operation 1 duration 280 mins.
Job 3 Operation 3 duration 206 mins.
Job 0 Operation 4 duration 158 mins.
Job 2 Operation 4 duration 167 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 323 mins.
Job 2 Operation 0 duration 41 mins.
Job 0 Operation 1 duration 278 mins.
Job 4 Operation 1 duration 264 mins.
Job 3 Operation 4 duration 116 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 1 : 0 + 277 -> 277
Job 0 Operation 0 on Machine 2 : 0 + 7 -> 7
Job 4 Operation 0 on Machine 3 : 0 + 188 -> 188
Job 2 Operation 0 on Machine 4 : 0 + 41 -> 41
Job 2 Operation 1 on Machine 0 : 41 + 173 -> 214
Job 1 Operation 0 on Machine 4 : 41 + 323 -> 364
Job 2 Operation 2 on Machine 2 : 214 + 191 -> 405
Job 1 Operation 1 on Machine 3 : 364 + 280 -> 644
Job 4 Operation 1 on Machine 4 : 364 + 264 -> 628
Job 2 Operation 3 on Machine 1 : 405 + 166 -> 571
Job 3 Operation 1 on Machine 2 : 405 + 143 -> 548
Job 3 Operation 2 on Machine 0 : 548 + 107 -> 655
Job 4 Operation 2 on Machine 1 : 628 + 296 -> 924
Job 0 Operation 1 on Machine 4 : 628 + 278 -> 906
Job 3 Operation 3 on Machine 3 : 655 + 206 -> 861
Job 2 Operation 4 on Machine 3 : 861 + 167 -> 1028
Job 0 Operation 2 on Machine 0 : 906 + 106 -> 1012
Job 3 Operation 4 on Machine 4 : 906 + 116 -> 1022
Job 1 Operation 2 on Machine 1 : 924 + 134 -> 1058
Job 4 Operation 3 on Machine 0 : 1012 + 131 -> 1143
Job 0 Operation 3 on Machine 1 : 1058 + 256 -> 1314
Job 1 Operation 3 on Machine 2 : 1058 + 12 -> 1070
Job 1 Operation 4 on Machine 0 : 1143 + 149 -> 1292
Job 4 Operation 4 on Machine 2 : 1143 + 73 -> 1216
Job 0 Operation 4 on Machine 3 : 1314 + 158 -> 1472
Makespan: 1472.0, as it is the maximum end completion time of Operation 4
| 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 1 duration 166 mins.
Operation 1 on Machine 0 duration 110 mins.
Operation 2 on Machine 2 duration 74 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 272 mins.
Operation 1 on Machine 0 duration 205 mins.
Operation 2 on Machine 2 duration 255 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 154 mins.
Operation 1 on Machine 1 duration 295 mins.
Operation 2 on Machine 0 duration 85 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 46 mins.
Operation 1 on Machine 2 duration 61 mins.
Operation 2 on Machine 1 duration 310 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 0 duration 46 mins.
Job 0 Operation 1 duration 110 mins.
Job 1 Operation 1 duration 205 mins.
Job 2 Operation 2 duration 85 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 166 mins.
Job 1 Operation 0 duration 272 mins.
Job 2 Operation 1 duration 295 mins.
Job 3 Operation 2 duration 310 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 154 mins.
Job 3 Operation 1 duration 61 mins.
Job 0 Operation 2 duration 74 mins.
Job 1 Operation 2 duration 255 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 46 -> 46
Job 0 Operation 0 on Machine 1 : 0 + 166 -> 166
Job 2 Operation 0 on Machine 2 : 0 + 154 -> 154
Job 3 Operation 1 on Machine 2 : 154 + 61 -> 215
Job 0 Operation 1 on Machine 0 : 166 + 110 -> 276
Job 1 Operation 0 on Machine 1 : 166 + 272 -> 438
Job 0 Operation 2 on Machine 2 : 276 + 74 -> 350
Job 1 Operation 1 on Machine 0 : 438 + 205 -> 643
Job 2 Operation 1 on Machine 1 : 438 + 295 -> 733
Job 1 Operation 2 on Machine 2 : 643 + 255 -> 898
Job 2 Operation 2 on Machine 0 : 733 + 85 -> 818
Job 3 Operation 2 on Machine 1 : 733 + 310 -> 1043
Makespan: 1043.0, as it is the maximum end completion time of Operation 2
| 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 5 duration 34 mins.
Operation 1 on Machine 1 duration 27 mins.
Operation 2 on Machine 0 duration 8 mins.
Operation 3 on Machine 3 duration 69 mins.
Operation 4 on Machine 4 duration 19 mins.
Operation 5 on Machine 2 duration 13 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 34 mins.
Operation 1 on Machine 5 duration 54 mins.
Operation 2 on Machine 3 duration 22 mins.
Operation 3 on Machine 1 duration 27 mins.
Operation 4 on Machine 4 duration 34 mins.
Operation 5 on Machine 0 duration 65 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 34 mins.
Operation 1 on Machine 3 duration 8 mins.
Operation 2 on Machine 0 duration 25 mins.
Operation 3 on Machine 4 duration 14 mins.
Operation 4 on Machine 2 duration 68 mins.
Operation 5 on Machine 5 duration 6 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 33 mins.
Operation 1 on Machine 2 duration 5 mins.
Operation 2 on Machine 1 duration 11 mins.
Operation 3 on Machine 5 duration 40 mins.
Operation 4 on Machine 0 duration 32 mins.
Operation 5 on Machine 3 duration 69 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 13 mins.
Operation 1 on Machine 2 duration 67 mins.
Operation 2 on Machine 5 duration 7 mins.
Operation 3 on Machine 3 duration 14 mins.
Operation 4 on Machine 0 duration 3 mins.
Operation 5 on Machine 4 duration 34 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 16 mins.
Operation 1 on Machine 3 duration 48 mins.
Operation 2 on Machine 1 duration 69 mins.
Operation 3 on Machine 5 duration 42 mins.
Operation 4 on Machine 4 duration 47 mins.
Operation 5 on Machine 2 duration 31 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 25 mins.
Operation 1 on Machine 4 duration 55 mins.
Operation 2 on Machine 1 duration 16 mins.
Operation 3 on Machine 5 duration 60 mins.
Operation 4 on Machine 3 duration 69 mins.
Operation 5 on Machine 0 duration 50 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 5 Operation 0 duration 16 mins.
Job 0 Operation 2 duration 8 mins.
Job 2 Operation 2 duration 25 mins.
Job 3 Operation 4 duration 32 mins.
Job 4 Operation 4 duration 3 mins.
Job 1 Operation 5 duration 65 mins.
Job 6 Operation 5 duration 50 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 34 mins.
Job 4 Operation 0 duration 13 mins.
Job 0 Operation 1 duration 27 mins.
Job 3 Operation 2 duration 11 mins.
Job 5 Operation 2 duration 69 mins.
Job 6 Operation 2 duration 16 mins.
Job 1 Operation 3 duration 27 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 34 mins.
Job 6 Operation 0 duration 25 mins.
Job 3 Operation 1 duration 5 mins.
Job 4 Operation 1 duration 67 mins.
Job 2 Operation 4 duration 68 mins.
Job 0 Operation 5 duration 13 mins.
Job 5 Operation 5 duration 31 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 8 mins.
Job 5 Operation 1 duration 48 mins.
Job 1 Operation 2 duration 22 mins.
Job 0 Operation 3 duration 69 mins.
Job 4 Operation 3 duration 14 mins.
Job 6 Operation 4 duration 69 mins.
Job 3 Operation 5 duration 69 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 33 mins.
Job 6 Operation 1 duration 55 mins.
Job 2 Operation 3 duration 14 mins.
Job 0 Operation 4 duration 19 mins.
Job 1 Operation 4 duration 34 mins.
Job 5 Operation 4 duration 47 mins.
Job 4 Operation 5 duration 34 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 34 mins.
Job 1 Operation 1 duration 54 mins.
Job 4 Operation 2 duration 7 mins.
Job 3 Operation 3 duration 40 mins.
Job 5 Operation 3 duration 42 mins.
Job 6 Operation 3 duration 60 mins.
Job 2 Operation 5 duration 6 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 16 -> 16
Job 2 Operation 0 on Machine 1 : 0 + 34 -> 34
Job 1 Operation 0 on Machine 2 : 0 + 34 -> 34
Job 3 Operation 0 on Machine 4 : 0 + 33 -> 33
Job 0 Operation 0 on Machine 5 : 0 + 34 -> 34
Job 5 Operation 1 on Machine 3 : 16 + 48 -> 64
Job 0 Operation 1 on Machine 1 : 34 + 27 -> 61
Job 6 Operation 0 on Machine 2 : 34 + 25 -> 59
Job 1 Operation 1 on Machine 5 : 34 + 54 -> 88
Job 3 Operation 1 on Machine 2 : 59 + 5 -> 64
Job 6 Operation 1 on Machine 4 : 59 + 55 -> 114
Job 0 Operation 2 on Machine 0 : 61 + 8 -> 69
Job 4 Operation 0 on Machine 1 : 61 + 13 -> 74
Job 2 Operation 1 on Machine 3 : 64 + 8 -> 72
Job 2 Operation 2 on Machine 0 : 72 + 25 -> 97
Job 3 Operation 2 on Machine 1 : 74 + 11 -> 85
Job 4 Operation 1 on Machine 2 : 74 + 67 -> 141
Job 1 Operation 2 on Machine 3 : 88 + 22 -> 110
Job 3 Operation 3 on Machine 5 : 88 + 40 -> 128
Job 0 Operation 3 on Machine 3 : 110 + 69 -> 179
Job 6 Operation 2 on Machine 1 : 114 + 16 -> 130
Job 2 Operation 3 on Machine 4 : 114 + 14 -> 128
Job 3 Operation 4 on Machine 0 : 128 + 32 -> 160
Job 1 Operation 3 on Machine 1 : 130 + 27 -> 157
Job 2 Operation 4 on Machine 2 : 141 + 68 -> 209
Job 4 Operation 2 on Machine 5 : 141 + 7 -> 148
Job 6 Operation 3 on Machine 5 : 148 + 60 -> 208
Job 5 Operation 2 on Machine 1 : 157 + 69 -> 226
Job 1 Operation 4 on Machine 4 : 157 + 34 -> 191
Job 4 Operation 3 on Machine 3 : 179 + 14 -> 193
Job 4 Operation 4 on Machine 0 : 193 + 3 -> 196
Job 1 Operation 5 on Machine 0 : 196 + 65 -> 261
Job 4 Operation 5 on Machine 4 : 196 + 34 -> 230
Job 6 Operation 4 on Machine 3 : 208 + 69 -> 277
Job 2 Operation 5 on Machine 5 : 209 + 6 -> 215
Job 5 Operation 3 on Machine 5 : 226 + 42 -> 268
Job 0 Operation 4 on Machine 4 : 230 + 19 -> 249
Job 0 Operation 5 on Machine 2 : 249 + 13 -> 262
Job 5 Operation 4 on Machine 4 : 268 + 47 -> 315
Job 6 Operation 5 on Machine 0 : 277 + 50 -> 327
Job 3 Operation 5 on Machine 3 : 277 + 69 -> 346
Job 5 Operation 5 on Machine 2 : 315 + 31 -> 346
Makespan: 346.0, as it is the maximum end completion time of Operation 5
| 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 9 duration 339 mins.
Operation 1 on Machine 3 duration 93 mins.
Operation 2 on Machine 4 duration 398 mins.
Operation 3 on Machine 1 duration 90 mins.
Operation 4 on Machine 6 duration 279 mins.
Operation 5 on Machine 13 duration 210 mins.
Operation 6 on Machine 10 duration 426 mins.
Operation 7 on Machine 7 duration 178 mins.
Operation 8 on Machine 11 duration 387 mins.
Operation 9 on Machine 8 duration 284 mins.
Operation 10 on Machine 12 duration 69 mins.
Operation 11 on Machine 14 duration 277 mins.
Operation 12 on Machine 2 duration 134 mins.
Operation 13 on Machine 0 duration 402 mins.
Operation 14 on Machine 5 duration 317 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 12 duration 245 mins.
Operation 1 on Machine 3 duration 379 mins.
Operation 2 on Machine 4 duration 51 mins.
Operation 3 on Machine 7 duration 125 mins.
Operation 4 on Machine 13 duration 262 mins.
Operation 5 on Machine 1 duration 296 mins.
Operation 6 on Machine 14 duration 115 mins.
Operation 7 on Machine 11 duration 332 mins.
Operation 8 on Machine 6 duration 139 mins.
Operation 9 on Machine 8 duration 182 mins.
Operation 10 on Machine 9 duration 154 mins.
Operation 11 on Machine 2 duration 41 mins.
Operation 12 on Machine 10 duration 293 mins.
Operation 13 on Machine 5 duration 404 mins.
Operation 14 on Machine 0 duration 391 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 357 mins.
Operation 1 on Machine 5 duration 270 mins.
Operation 2 on Machine 10 duration 4 mins.
Operation 3 on Machine 14 duration 307 mins.
Operation 4 on Machine 4 duration 48 mins.
Operation 5 on Machine 12 duration 217 mins.
Operation 6 on Machine 7 duration 130 mins.
Operation 7 on Machine 1 duration 231 mins.
Operation 8 on Machine 3 duration 365 mins.
Operation 9 on Machine 9 duration 366 mins.
Operation 10 on Machine 2 duration 136 mins.
Operation 11 on Machine 11 duration 19 mins.
Operation 12 on Machine 8 duration 373 mins.
Operation 13 on Machine 13 duration 409 mins.
Operation 14 on Machine 6 duration 202 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 413 mins.
Operation 1 on Machine 0 duration 392 mins.
Operation 2 on Machine 14 duration 395 mins.
Operation 3 on Machine 5 duration 262 mins.
Operation 4 on Machine 8 duration 83 mins.
Operation 5 on Machine 12 duration 349 mins.
Operation 6 on Machine 10 duration 419 mins.
Operation 7 on Machine 7 duration 335 mins.
Operation 8 on Machine 2 duration 185 mins.
Operation 9 on Machine 9 duration 343 mins.
Operation 10 on Machine 11 duration 32 mins.
Operation 11 on Machine 4 duration 44 mins.
Operation 12 on Machine 13 duration 63 mins.
Operation 13 on Machine 3 duration 204 mins.
Operation 14 on Machine 1 duration 167 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 9 duration 59 mins.
Operation 1 on Machine 13 duration 153 mins.
Operation 2 on Machine 12 duration 21 mins.
Operation 3 on Machine 4 duration 70 mins.
Operation 4 on Machine 1 duration 27 mins.
Operation 5 on Machine 8 duration 324 mins.
Operation 6 on Machine 11 duration 371 mins.
Operation 7 on Machine 14 duration 68 mins.
Operation 8 on Machine 3 duration 39 mins.
Operation 9 on Machine 2 duration 6 mins.
Operation 10 on Machine 5 duration 395 mins.
Operation 11 on Machine 0 duration 333 mins.
Operation 12 on Machine 7 duration 187 mins.
Operation 13 on Machine 10 duration 204 mins.
Operation 14 on Machine 6 duration 95 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 45 mins.
Operation 1 on Machine 10 duration 347 mins.
Operation 2 on Machine 13 duration 194 mins.
Operation 3 on Machine 11 duration 31 mins.
Operation 4 on Machine 9 duration 274 mins.
Operation 5 on Machine 8 duration 298 mins.
Operation 6 on Machine 1 duration 143 mins.
Operation 7 on Machine 7 duration 425 mins.
Operation 8 on Machine 2 duration 353 mins.
Operation 9 on Machine 12 duration 295 mins.
Operation 10 on Machine 5 duration 431 mins.
Operation 11 on Machine 0 duration 382 mins.
Operation 12 on Machine 3 duration 342 mins.
Operation 13 on Machine 6 duration 176 mins.
Operation 14 on Machine 14 duration 205 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 9 duration 51 mins.
Operation 1 on Machine 10 duration 143 mins.
Operation 2 on Machine 3 duration 208 mins.
Operation 3 on Machine 5 duration 429 mins.
Operation 4 on Machine 7 duration 280 mins.
Operation 5 on Machine 6 duration 163 mins.
Operation 6 on Machine 13 duration 24 mins.
Operation 7 on Machine 0 duration 337 mins.
Operation 8 on Machine 12 duration 351 mins.
Operation 9 on Machine 2 duration 403 mins.
Operation 10 on Machine 8 duration 251 mins.
Operation 11 on Machine 11 duration 307 mins.
Operation 12 on Machine 4 duration 208 mins.
Operation 13 on Machine 1 duration 319 mins.
Operation 14 on Machine 14 duration 204 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 122 mins.
Operation 1 on Machine 12 duration 204 mins.
Operation 2 on Machine 6 duration 86 mins.
Operation 3 on Machine 4 duration 334 mins.
Operation 4 on Machine 11 duration 214 mins.
Operation 5 on Machine 0 duration 63 mins.
Operation 6 on Machine 10 duration 164 mins.
Operation 7 on Machine 8 duration 8 mins.
Operation 8 on Machine 14 duration 202 mins.
Operation 9 on Machine 7 duration 282 mins.
Operation 10 on Machine 2 duration 136 mins.
Operation 11 on Machine 3 duration 106 mins.
Operation 12 on Machine 13 duration 55 mins.
Operation 13 on Machine 9 duration 195 mins.
Operation 14 on Machine 1 duration 235 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 10 duration 66 mins.
Operation 1 on Machine 6 duration 306 mins.
Operation 2 on Machine 5 duration 293 mins.
Operation 3 on Machine 0 duration 306 mins.
Operation 4 on Machine 2 duration 248 mins.
Operation 5 on Machine 7 duration 296 mins.
Operation 6 on Machine 13 duration 6 mins.
Operation 7 on Machine 14 duration 153 mins.
Operation 8 on Machine 3 duration 197 mins.
Operation 9 on Machine 12 duration 301 mins.
Operation 10 on Machine 4 duration 32 mins.
Operation 11 on Machine 1 duration 267 mins.
Operation 12 on Machine 11 duration 161 mins.
Operation 13 on Machine 8 duration 387 mins.
Operation 14 on Machine 9 duration 227 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 406 mins.
Operation 1 on Machine 1 duration 85 mins.
Operation 2 on Machine 13 duration 410 mins.
Operation 3 on Machine 14 duration 90 mins.
Operation 4 on Machine 9 duration 232 mins.
Operation 5 on Machine 12 duration 175 mins.
Operation 6 on Machine 5 duration 288 mins.
Operation 7 on Machine 7 duration 263 mins.
Operation 8 on Machine 11 duration 370 mins.
Operation 9 on Machine 6 duration 224 mins.
Operation 10 on Machine 0 duration 399 mins.
Operation 11 on Machine 8 duration 254 mins.
Operation 12 on Machine 10 duration 245 mins.
Operation 13 on Machine 3 duration 48 mins.
Operation 14 on Machine 4 duration 303 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 4 duration 108 mins.
Operation 1 on Machine 10 duration 230 mins.
Operation 2 on Machine 0 duration 258 mins.
Operation 3 on Machine 11 duration 241 mins.
Operation 4 on Machine 3 duration 143 mins.
Operation 5 on Machine 1 duration 287 mins.
Operation 6 on Machine 13 duration 425 mins.
Operation 7 on Machine 14 duration 102 mins.
Operation 8 on Machine 8 duration 131 mins.
Operation 9 on Machine 9 duration 46 mins.
Operation 10 on Machine 7 duration 76 mins.
Operation 11 on Machine 12 duration 131 mins.
Operation 12 on Machine 5 duration 57 mins.
Operation 13 on Machine 2 duration 51 mins.
Operation 14 on Machine 6 duration 112 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 10 duration 423 mins.
Operation 1 on Machine 11 duration 233 mins.
Operation 2 on Machine 1 duration 176 mins.
Operation 3 on Machine 7 duration 208 mins.
Operation 4 on Machine 5 duration 45 mins.
Operation 5 on Machine 14 duration 10 mins.
Operation 6 on Machine 13 duration 2 mins.
Operation 7 on Machine 9 duration 145 mins.
Operation 8 on Machine 3 duration 314 mins.
Operation 9 on Machine 4 duration 330 mins.
Operation 10 on Machine 12 duration 128 mins.
Operation 11 on Machine 2 duration 38 mins.
Operation 12 on Machine 6 duration 313 mins.
Operation 13 on Machine 8 duration 136 mins.
Operation 14 on Machine 0 duration 35 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 0 duration 356 mins.
Operation 1 on Machine 11 duration 276 mins.
Operation 2 on Machine 14 duration 54 mins.
Operation 3 on Machine 2 duration 110 mins.
Operation 4 on Machine 8 duration 432 mins.
Operation 5 on Machine 10 duration 167 mins.
Operation 6 on Machine 4 duration 92 mins.
Operation 7 on Machine 6 duration 400 mins.
Operation 8 on Machine 13 duration 57 mins.
Operation 9 on Machine 5 duration 244 mins.
Operation 10 on Machine 7 duration 338 mins.
Operation 11 on Machine 3 duration 287 mins.
Operation 12 on Machine 1 duration 391 mins.
Operation 13 on Machine 12 duration 428 mins.
Operation 14 on Machine 9 duration 321 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 1 duration 235 mins.
Operation 1 on Machine 6 duration 318 mins.
Operation 2 on Machine 3 duration 285 mins.
Operation 3 on Machine 7 duration 391 mins.
Operation 4 on Machine 11 duration 13 mins.
Operation 5 on Machine 0 duration 417 mins.
Operation 6 on Machine 12 duration 265 mins.
Operation 7 on Machine 2 duration 34 mins.
Operation 8 on Machine 8 duration 359 mins.
Operation 9 on Machine 13 duration 69 mins.
Operation 10 on Machine 14 duration 220 mins.
Operation 11 on Machine 5 duration 255 mins.
Operation 12 on Machine 9 duration 393 mins.
Operation 13 on Machine 10 duration 42 mins.
Operation 14 on Machine 4 duration 222 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 10 duration 340 mins.
Operation 1 on Machine 0 duration 106 mins.
Operation 2 on Machine 4 duration 172 mins.
Operation 3 on Machine 7 duration 154 mins.
Operation 4 on Machine 2 duration 273 mins.
Operation 5 on Machine 13 duration 197 mins.
Operation 6 on Machine 14 duration 258 mins.
Operation 7 on Machine 1 duration 284 mins.
Operation 8 on Machine 11 duration 318 mins.
Operation 9 on Machine 5 duration 5 mins.
Operation 10 on Machine 12 duration 141 mins.
Operation 11 on Machine 6 duration 242 mins.
Operation 12 on Machine 9 duration 88 mins.
Operation 13 on Machine 3 duration 125 mins.
Operation 14 on Machine 8 duration 406 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 2 Operation 0 duration 357 mins.
Job 12 Operation 0 duration 356 mins.
Job 3 Operation 1 duration 392 mins.
Job 14 Operation 1 duration 106 mins.
Job 10 Operation 2 duration 258 mins.
Job 8 Operation 3 duration 306 mins.
Job 7 Operation 5 duration 63 mins.
Job 13 Operation 5 duration 417 mins.
Job 6 Operation 7 duration 337 mins.
Job 9 Operation 10 duration 399 mins.
Job 4 Operation 11 duration 333 mins.
Job 5 Operation 11 duration 382 mins.
Job 0 Operation 13 duration 402 mins.
Job 1 Operation 14 duration 391 mins.
Job 11 Operation 14 duration 35 mins.
Machine 1 is used for the following Operations:
Job 13 Operation 0 duration 235 mins.
Job 9 Operation 1 duration 85 mins.
Job 11 Operation 2 duration 176 mins.
Job 0 Operation 3 duration 90 mins.
Job 4 Operation 4 duration 27 mins.
Job 1 Operation 5 duration 296 mins.
Job 10 Operation 5 duration 287 mins.
Job 5 Operation 6 duration 143 mins.
Job 2 Operation 7 duration 231 mins.
Job 14 Operation 7 duration 284 mins.
Job 8 Operation 11 duration 267 mins.
Job 12 Operation 12 duration 391 mins.
Job 6 Operation 13 duration 319 mins.
Job 3 Operation 14 duration 167 mins.
Job 7 Operation 14 duration 235 mins.
Machine 2 is used for the following Operations:
Job 9 Operation 0 duration 406 mins.
Job 12 Operation 3 duration 110 mins.
Job 8 Operation 4 duration 248 mins.
Job 14 Operation 4 duration 273 mins.
Job 13 Operation 7 duration 34 mins.
Job 3 Operation 8 duration 185 mins.
Job 5 Operation 8 duration 353 mins.
Job 4 Operation 9 duration 6 mins.
Job 6 Operation 9 duration 403 mins.
Job 2 Operation 10 duration 136 mins.
Job 7 Operation 10 duration 136 mins.
Job 1 Operation 11 duration 41 mins.
Job 11 Operation 11 duration 38 mins.
Job 0 Operation 12 duration 134 mins.
Job 10 Operation 13 duration 51 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 93 mins.
Job 1 Operation 1 duration 379 mins.
Job 6 Operation 2 duration 208 mins.
Job 13 Operation 2 duration 285 mins.
Job 10 Operation 4 duration 143 mins.
Job 2 Operation 8 duration 365 mins.
Job 4 Operation 8 duration 39 mins.
Job 8 Operation 8 duration 197 mins.
Job 11 Operation 8 duration 314 mins.
Job 7 Operation 11 duration 106 mins.
Job 12 Operation 11 duration 287 mins.
Job 5 Operation 12 duration 342 mins.
Job 3 Operation 13 duration 204 mins.
Job 9 Operation 13 duration 48 mins.
Job 14 Operation 13 duration 125 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 45 mins.
Job 10 Operation 0 duration 108 mins.
Job 0 Operation 2 duration 398 mins.
Job 1 Operation 2 duration 51 mins.
Job 14 Operation 2 duration 172 mins.
Job 4 Operation 3 duration 70 mins.
Job 7 Operation 3 duration 334 mins.
Job 2 Operation 4 duration 48 mins.
Job 12 Operation 6 duration 92 mins.
Job 11 Operation 9 duration 330 mins.
Job 8 Operation 10 duration 32 mins.
Job 3 Operation 11 duration 44 mins.
Job 6 Operation 12 duration 208 mins.
Job 9 Operation 14 duration 303 mins.
Job 13 Operation 14 duration 222 mins.
Machine 5 is used for the following Operations:
Job 7 Operation 0 duration 122 mins.
Job 2 Operation 1 duration 270 mins.
Job 8 Operation 2 duration 293 mins.
Job 3 Operation 3 duration 262 mins.
Job 6 Operation 3 duration 429 mins.
Job 11 Operation 4 duration 45 mins.
Job 9 Operation 6 duration 288 mins.
Job 12 Operation 9 duration 244 mins.
Job 14 Operation 9 duration 5 mins.
Job 4 Operation 10 duration 395 mins.
Job 5 Operation 10 duration 431 mins.
Job 13 Operation 11 duration 255 mins.
Job 10 Operation 12 duration 57 mins.
Job 1 Operation 13 duration 404 mins.
Job 0 Operation 14 duration 317 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 413 mins.
Job 8 Operation 1 duration 306 mins.
Job 13 Operation 1 duration 318 mins.
Job 7 Operation 2 duration 86 mins.
Job 0 Operation 4 duration 279 mins.
Job 6 Operation 5 duration 163 mins.
Job 12 Operation 7 duration 400 mins.
Job 1 Operation 8 duration 139 mins.
Job 9 Operation 9 duration 224 mins.
Job 14 Operation 11 duration 242 mins.
Job 11 Operation 12 duration 313 mins.
Job 5 Operation 13 duration 176 mins.
Job 2 Operation 14 duration 202 mins.
Job 4 Operation 14 duration 95 mins.
Job 10 Operation 14 duration 112 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 3 duration 125 mins.
Job 11 Operation 3 duration 208 mins.
Job 13 Operation 3 duration 391 mins.
Job 14 Operation 3 duration 154 mins.
Job 6 Operation 4 duration 280 mins.
Job 8 Operation 5 duration 296 mins.
Job 2 Operation 6 duration 130 mins.
Job 0 Operation 7 duration 178 mins.
Job 3 Operation 7 duration 335 mins.
Job 5 Operation 7 duration 425 mins.
Job 9 Operation 7 duration 263 mins.
Job 7 Operation 9 duration 282 mins.
Job 10 Operation 10 duration 76 mins.
Job 12 Operation 10 duration 338 mins.
Job 4 Operation 12 duration 187 mins.
Machine 8 is used for the following Operations:
Job 3 Operation 4 duration 83 mins.
Job 12 Operation 4 duration 432 mins.
Job 4 Operation 5 duration 324 mins.
Job 5 Operation 5 duration 298 mins.
Job 7 Operation 7 duration 8 mins.
Job 10 Operation 8 duration 131 mins.
Job 13 Operation 8 duration 359 mins.
Job 0 Operation 9 duration 284 mins.
Job 1 Operation 9 duration 182 mins.
Job 6 Operation 10 duration 251 mins.
Job 9 Operation 11 duration 254 mins.
Job 2 Operation 12 duration 373 mins.
Job 8 Operation 13 duration 387 mins.
Job 11 Operation 13 duration 136 mins.
Job 14 Operation 14 duration 406 mins.
Machine 9 is used for the following Operations:
Job 0 Operation 0 duration 339 mins.
Job 4 Operation 0 duration 59 mins.
Job 6 Operation 0 duration 51 mins.
Job 5 Operation 4 duration 274 mins.
Job 9 Operation 4 duration 232 mins.
Job 11 Operation 7 duration 145 mins.
Job 2 Operation 9 duration 366 mins.
Job 3 Operation 9 duration 343 mins.
Job 10 Operation 9 duration 46 mins.
Job 1 Operation 10 duration 154 mins.
Job 13 Operation 12 duration 393 mins.
Job 14 Operation 12 duration 88 mins.
Job 7 Operation 13 duration 195 mins.
Job 8 Operation 14 duration 227 mins.
Job 12 Operation 14 duration 321 mins.
Machine 10 is used for the following Operations:
Job 8 Operation 0 duration 66 mins.
Job 11 Operation 0 duration 423 mins.
Job 14 Operation 0 duration 340 mins.
Job 5 Operation 1 duration 347 mins.
Job 6 Operation 1 duration 143 mins.
Job 10 Operation 1 duration 230 mins.
Job 2 Operation 2 duration 4 mins.
Job 12 Operation 5 duration 167 mins.
Job 0 Operation 6 duration 426 mins.
Job 3 Operation 6 duration 419 mins.
Job 7 Operation 6 duration 164 mins.
Job 1 Operation 12 duration 293 mins.
Job 9 Operation 12 duration 245 mins.
Job 4 Operation 13 duration 204 mins.
Job 13 Operation 13 duration 42 mins.
Machine 11 is used for the following Operations:
Job 11 Operation 1 duration 233 mins.
Job 12 Operation 1 duration 276 mins.
Job 5 Operation 3 duration 31 mins.
Job 10 Operation 3 duration 241 mins.
Job 7 Operation 4 duration 214 mins.
Job 13 Operation 4 duration 13 mins.
Job 4 Operation 6 duration 371 mins.
Job 1 Operation 7 duration 332 mins.
Job 0 Operation 8 duration 387 mins.
Job 9 Operation 8 duration 370 mins.
Job 14 Operation 8 duration 318 mins.
Job 3 Operation 10 duration 32 mins.
Job 2 Operation 11 duration 19 mins.
Job 6 Operation 11 duration 307 mins.
Job 8 Operation 12 duration 161 mins.
Machine 12 is used for the following Operations:
Job 1 Operation 0 duration 245 mins.
Job 7 Operation 1 duration 204 mins.
Job 4 Operation 2 duration 21 mins.
Job 2 Operation 5 duration 217 mins.
Job 3 Operation 5 duration 349 mins.
Job 9 Operation 5 duration 175 mins.
Job 13 Operation 6 duration 265 mins.
Job 6 Operation 8 duration 351 mins.
Job 5 Operation 9 duration 295 mins.
Job 8 Operation 9 duration 301 mins.
Job 0 Operation 10 duration 69 mins.
Job 11 Operation 10 duration 128 mins.
Job 14 Operation 10 duration 141 mins.
Job 10 Operation 11 duration 131 mins.
Job 12 Operation 13 duration 428 mins.
Machine 13 is used for the following Operations:
Job 4 Operation 1 duration 153 mins.
Job 5 Operation 2 duration 194 mins.
Job 9 Operation 2 duration 410 mins.
Job 1 Operation 4 duration 262 mins.
Job 0 Operation 5 duration 210 mins.
Job 14 Operation 5 duration 197 mins.
Job 6 Operation 6 duration 24 mins.
Job 8 Operation 6 duration 6 mins.
Job 10 Operation 6 duration 425 mins.
Job 11 Operation 6 duration 2 mins.
Job 12 Operation 8 duration 57 mins.
Job 13 Operation 9 duration 69 mins.
Job 3 Operation 12 duration 63 mins.
Job 7 Operation 12 duration 55 mins.
Job 2 Operation 13 duration 409 mins.
Machine 14 is used for the following Operations:
Job 3 Operation 2 duration 395 mins.
Job 12 Operation 2 duration 54 mins.
Job 2 Operation 3 duration 307 mins.
Job 9 Operation 3 duration 90 mins.
Job 11 Operation 5 duration 10 mins.
Job 1 Operation 6 duration 115 mins.
Job 14 Operation 6 duration 258 mins.
Job 4 Operation 7 duration 68 mins.
Job 8 Operation 7 duration 153 mins.
Job 10 Operation 7 duration 102 mins.
Job 7 Operation 8 duration 202 mins.
Job 13 Operation 10 duration 220 mins.
Job 0 Operation 11 duration 277 mins.
Job 5 Operation 14 duration 205 mins.
Job 6 Operation 14 duration 204 mins.
| null |
Solution:
Job 12 Operation 0 on Machine 0 : 0 + 356 -> 356
Job 13 Operation 0 on Machine 1 : 0 + 235 -> 235
Job 9 Operation 0 on Machine 2 : 0 + 406 -> 406
Job 5 Operation 0 on Machine 4 : 0 + 45 -> 45
Job 7 Operation 0 on Machine 5 : 0 + 122 -> 122
Job 6 Operation 0 on Machine 9 : 0 + 51 -> 51
Job 1 Operation 0 on Machine 12 : 0 + 245 -> 245
Job 10 Operation 0 on Machine 4 : 45 + 108 -> 153
Job 4 Operation 0 on Machine 9 : 51 + 59 -> 110
Job 6 Operation 1 on Machine 10 : 51 + 143 -> 194
Job 0 Operation 0 on Machine 9 : 110 + 339 -> 449
Job 4 Operation 1 on Machine 13 : 110 + 153 -> 263
Job 6 Operation 2 on Machine 3 : 194 + 208 -> 402
Job 5 Operation 1 on Machine 10 : 194 + 347 -> 541
Job 13 Operation 1 on Machine 6 : 235 + 318 -> 553
Job 4 Operation 2 on Machine 12 : 263 + 21 -> 284
Job 4 Operation 3 on Machine 4 : 284 + 70 -> 354
Job 7 Operation 1 on Machine 12 : 284 + 204 -> 488
Job 4 Operation 4 on Machine 1 : 354 + 27 -> 381
Job 2 Operation 0 on Machine 0 : 356 + 357 -> 713
Job 12 Operation 1 on Machine 11 : 356 + 276 -> 632
Job 4 Operation 5 on Machine 8 : 381 + 324 -> 705
Job 9 Operation 1 on Machine 1 : 406 + 85 -> 491
Job 0 Operation 1 on Machine 3 : 449 + 93 -> 542
Job 14 Operation 0 on Machine 10 : 541 + 340 -> 881
Job 5 Operation 2 on Machine 13 : 541 + 194 -> 735
Job 0 Operation 2 on Machine 4 : 542 + 398 -> 940
Job 13 Operation 2 on Machine 3 : 553 + 285 -> 838
Job 3 Operation 0 on Machine 6 : 553 + 413 -> 966
Job 12 Operation 2 on Machine 14 : 632 + 54 -> 686
Job 12 Operation 3 on Machine 2 : 686 + 110 -> 796
Job 2 Operation 1 on Machine 5 : 713 + 270 -> 983
Job 5 Operation 3 on Machine 11 : 735 + 31 -> 766
Job 9 Operation 2 on Machine 13 : 735 + 410 -> 1145
Job 5 Operation 4 on Machine 9 : 766 + 274 -> 1040
Job 4 Operation 6 on Machine 11 : 766 + 371 -> 1137
Job 1 Operation 1 on Machine 3 : 838 + 379 -> 1217
Job 13 Operation 3 on Machine 7 : 838 + 391 -> 1229
Job 14 Operation 1 on Machine 0 : 881 + 106 -> 987
Job 8 Operation 0 on Machine 10 : 881 + 66 -> 947
Job 0 Operation 3 on Machine 1 : 940 + 90 -> 1030
Job 7 Operation 2 on Machine 6 : 966 + 86 -> 1052
Job 6 Operation 3 on Machine 5 : 983 + 429 -> 1412
Job 2 Operation 2 on Machine 10 : 983 + 4 -> 987
Job 3 Operation 1 on Machine 0 : 987 + 392 -> 1379
Job 14 Operation 2 on Machine 4 : 987 + 172 -> 1159
Job 11 Operation 0 on Machine 10 : 987 + 423 -> 1410
Job 2 Operation 3 on Machine 14 : 987 + 307 -> 1294
Job 5 Operation 5 on Machine 8 : 1040 + 298 -> 1338
Job 8 Operation 1 on Machine 6 : 1052 + 306 -> 1358
Job 1 Operation 2 on Machine 4 : 1217 + 51 -> 1268
Job 13 Operation 4 on Machine 11 : 1229 + 13 -> 1242
Job 1 Operation 3 on Machine 7 : 1268 + 125 -> 1393
Job 2 Operation 4 on Machine 4 : 1294 + 48 -> 1342
Job 9 Operation 3 on Machine 14 : 1294 + 90 -> 1384
Job 5 Operation 6 on Machine 1 : 1338 + 143 -> 1481
Job 12 Operation 4 on Machine 8 : 1338 + 432 -> 1770
Job 7 Operation 3 on Machine 4 : 1342 + 334 -> 1676
Job 2 Operation 5 on Machine 12 : 1342 + 217 -> 1559
Job 0 Operation 4 on Machine 6 : 1358 + 279 -> 1637
Job 13 Operation 5 on Machine 0 : 1379 + 417 -> 1796
Job 9 Operation 4 on Machine 9 : 1384 + 232 -> 1616
Job 3 Operation 2 on Machine 14 : 1384 + 395 -> 1779
Job 14 Operation 3 on Machine 7 : 1393 + 154 -> 1547
Job 1 Operation 4 on Machine 13 : 1393 + 262 -> 1655
Job 10 Operation 1 on Machine 10 : 1410 + 230 -> 1640
Job 11 Operation 1 on Machine 11 : 1410 + 233 -> 1643
Job 8 Operation 2 on Machine 5 : 1412 + 293 -> 1705
Job 14 Operation 4 on Machine 2 : 1547 + 273 -> 1820
Job 6 Operation 4 on Machine 7 : 1547 + 280 -> 1827
Job 9 Operation 5 on Machine 12 : 1616 + 175 -> 1791
Job 1 Operation 5 on Machine 1 : 1655 + 296 -> 1951
Job 0 Operation 5 on Machine 13 : 1655 + 210 -> 1865
Job 7 Operation 4 on Machine 11 : 1676 + 214 -> 1890
Job 12 Operation 5 on Machine 10 : 1770 + 167 -> 1937
Job 3 Operation 3 on Machine 5 : 1779 + 262 -> 2041
Job 4 Operation 7 on Machine 14 : 1779 + 68 -> 1847
Job 8 Operation 3 on Machine 0 : 1796 + 306 -> 2102
Job 13 Operation 6 on Machine 12 : 1796 + 265 -> 2061
Job 6 Operation 5 on Machine 6 : 1827 + 163 -> 1990
Job 2 Operation 6 on Machine 7 : 1827 + 130 -> 1957
Job 4 Operation 8 on Machine 3 : 1847 + 39 -> 1886
Job 4 Operation 9 on Machine 2 : 1886 + 6 -> 1892
Job 12 Operation 6 on Machine 4 : 1937 + 92 -> 2029
Job 0 Operation 6 on Machine 10 : 1937 + 426 -> 2363
Job 1 Operation 6 on Machine 14 : 1951 + 115 -> 2066
Job 2 Operation 7 on Machine 1 : 1957 + 231 -> 2188
Job 5 Operation 7 on Machine 7 : 1957 + 425 -> 2382
Job 6 Operation 6 on Machine 13 : 1990 + 24 -> 2014
Job 14 Operation 5 on Machine 13 : 2014 + 197 -> 2211
Job 12 Operation 7 on Machine 6 : 2029 + 400 -> 2429
Job 9 Operation 6 on Machine 5 : 2041 + 288 -> 2329
Job 3 Operation 4 on Machine 8 : 2041 + 83 -> 2124
Job 1 Operation 7 on Machine 11 : 2066 + 332 -> 2398
Job 10 Operation 2 on Machine 0 : 2102 + 258 -> 2360
Job 8 Operation 4 on Machine 2 : 2102 + 248 -> 2350
Job 3 Operation 5 on Machine 12 : 2124 + 349 -> 2473
Job 11 Operation 2 on Machine 1 : 2188 + 176 -> 2364
Job 2 Operation 8 on Machine 3 : 2188 + 365 -> 2553
Job 14 Operation 6 on Machine 14 : 2211 + 258 -> 2469
Job 4 Operation 10 on Machine 5 : 2329 + 395 -> 2724
Job 13 Operation 7 on Machine 2 : 2350 + 34 -> 2384
Job 6 Operation 7 on Machine 0 : 2360 + 337 -> 2697
Job 9 Operation 7 on Machine 7 : 2382 + 263 -> 2645
Job 5 Operation 8 on Machine 2 : 2384 + 353 -> 2737
Job 13 Operation 8 on Machine 8 : 2384 + 359 -> 2743
Job 10 Operation 3 on Machine 11 : 2398 + 241 -> 2639
Job 1 Operation 8 on Machine 6 : 2429 + 139 -> 2568
Job 12 Operation 8 on Machine 13 : 2429 + 57 -> 2486
Job 14 Operation 7 on Machine 1 : 2469 + 284 -> 2753
Job 2 Operation 9 on Machine 9 : 2553 + 366 -> 2919
Job 10 Operation 4 on Machine 3 : 2639 + 143 -> 2782
Job 11 Operation 3 on Machine 7 : 2645 + 208 -> 2853
Job 9 Operation 8 on Machine 11 : 2645 + 370 -> 3015
Job 7 Operation 5 on Machine 0 : 2697 + 63 -> 2760
Job 6 Operation 8 on Machine 12 : 2697 + 351 -> 3048
Job 12 Operation 9 on Machine 5 : 2724 + 244 -> 2968
Job 1 Operation 9 on Machine 8 : 2743 + 182 -> 2925
Job 13 Operation 9 on Machine 13 : 2743 + 69 -> 2812
Job 4 Operation 11 on Machine 0 : 2760 + 333 -> 3093
Job 7 Operation 6 on Machine 10 : 2760 + 164 -> 2924
Job 10 Operation 5 on Machine 1 : 2782 + 287 -> 3069
Job 13 Operation 10 on Machine 14 : 2812 + 220 -> 3032
Job 8 Operation 5 on Machine 7 : 2853 + 296 -> 3149
Job 2 Operation 10 on Machine 2 : 2919 + 136 -> 3055
Job 3 Operation 6 on Machine 10 : 2924 + 419 -> 3343
Job 7 Operation 7 on Machine 8 : 2925 + 8 -> 2933
Job 1 Operation 10 on Machine 9 : 2925 + 154 -> 3079
Job 11 Operation 4 on Machine 5 : 2968 + 45 -> 3013
Job 9 Operation 9 on Machine 6 : 3015 + 224 -> 3239
Job 13 Operation 11 on Machine 5 : 3032 + 255 -> 3287
Job 11 Operation 5 on Machine 14 : 3032 + 10 -> 3042
Job 11 Operation 6 on Machine 13 : 3042 + 2 -> 3044
Job 5 Operation 9 on Machine 12 : 3048 + 295 -> 3343
Job 6 Operation 9 on Machine 2 : 3055 + 403 -> 3458
Job 2 Operation 11 on Machine 11 : 3055 + 19 -> 3074
Job 2 Operation 12 on Machine 8 : 3074 + 373 -> 3447
Job 14 Operation 8 on Machine 11 : 3074 + 318 -> 3392
Job 11 Operation 7 on Machine 9 : 3079 + 145 -> 3224
Job 0 Operation 7 on Machine 7 : 3149 + 178 -> 3327
Job 8 Operation 6 on Machine 13 : 3149 + 6 -> 3155
Job 10 Operation 6 on Machine 13 : 3155 + 425 -> 3580
Job 8 Operation 7 on Machine 14 : 3155 + 153 -> 3308
Job 9 Operation 10 on Machine 0 : 3239 + 399 -> 3638
Job 13 Operation 12 on Machine 9 : 3287 + 393 -> 3680
Job 8 Operation 8 on Machine 3 : 3308 + 197 -> 3505
Job 12 Operation 10 on Machine 7 : 3327 + 338 -> 3665
Job 14 Operation 9 on Machine 5 : 3392 + 5 -> 3397
Job 0 Operation 8 on Machine 11 : 3392 + 387 -> 3779
Job 5 Operation 10 on Machine 5 : 3397 + 431 -> 3828
Job 14 Operation 10 on Machine 12 : 3397 + 141 -> 3538
Job 1 Operation 11 on Machine 2 : 3458 + 41 -> 3499
Job 6 Operation 10 on Machine 8 : 3458 + 251 -> 3709
Job 1 Operation 12 on Machine 10 : 3499 + 293 -> 3792
Job 11 Operation 8 on Machine 3 : 3505 + 314 -> 3819
Job 14 Operation 11 on Machine 6 : 3538 + 242 -> 3780
Job 8 Operation 9 on Machine 12 : 3538 + 301 -> 3839
Job 2 Operation 13 on Machine 13 : 3580 + 409 -> 3989
Job 10 Operation 7 on Machine 14 : 3580 + 102 -> 3682
Job 3 Operation 7 on Machine 7 : 3665 + 335 -> 4000
Job 7 Operation 8 on Machine 14 : 3682 + 202 -> 3884
Job 10 Operation 8 on Machine 8 : 3709 + 131 -> 3840
Job 6 Operation 11 on Machine 11 : 3779 + 307 -> 4086
Job 13 Operation 13 on Machine 10 : 3792 + 42 -> 3834
Job 12 Operation 11 on Machine 3 : 3819 + 287 -> 4106
Job 5 Operation 11 on Machine 0 : 3828 + 382 -> 4210
Job 1 Operation 13 on Machine 5 : 3828 + 404 -> 4232
Job 8 Operation 10 on Machine 4 : 3839 + 32 -> 3871
Job 0 Operation 9 on Machine 8 : 3840 + 284 -> 4124
Job 10 Operation 9 on Machine 9 : 3840 + 46 -> 3886
Job 8 Operation 11 on Machine 1 : 3871 + 267 -> 4138
Job 11 Operation 9 on Machine 4 : 3871 + 330 -> 4201
Job 14 Operation 12 on Machine 9 : 3886 + 88 -> 3974
Job 2 Operation 14 on Machine 6 : 3989 + 202 -> 4191
Job 3 Operation 8 on Machine 2 : 4000 + 185 -> 4185
Job 7 Operation 9 on Machine 7 : 4000 + 282 -> 4282
Job 14 Operation 13 on Machine 3 : 4106 + 125 -> 4231
Job 9 Operation 11 on Machine 8 : 4124 + 254 -> 4378
Job 0 Operation 10 on Machine 12 : 4124 + 69 -> 4193
Job 12 Operation 12 on Machine 1 : 4138 + 391 -> 4529
Job 8 Operation 12 on Machine 11 : 4138 + 161 -> 4299
Job 3 Operation 9 on Machine 9 : 4185 + 343 -> 4528
Job 0 Operation 11 on Machine 14 : 4193 + 277 -> 4470
Job 6 Operation 12 on Machine 4 : 4201 + 208 -> 4409
Job 11 Operation 10 on Machine 12 : 4201 + 128 -> 4329
Job 1 Operation 14 on Machine 0 : 4232 + 391 -> 4623
Job 7 Operation 10 on Machine 2 : 4282 + 136 -> 4418
Job 10 Operation 10 on Machine 7 : 4282 + 76 -> 4358
Job 4 Operation 12 on Machine 7 : 4358 + 187 -> 4545
Job 10 Operation 11 on Machine 12 : 4358 + 131 -> 4489
Job 8 Operation 13 on Machine 8 : 4378 + 387 -> 4765
Job 9 Operation 12 on Machine 10 : 4378 + 245 -> 4623
Job 11 Operation 11 on Machine 2 : 4418 + 38 -> 4456
Job 7 Operation 11 on Machine 3 : 4418 + 106 -> 4524
Job 11 Operation 12 on Machine 6 : 4456 + 313 -> 4769
Job 0 Operation 12 on Machine 2 : 4470 + 134 -> 4604
Job 10 Operation 12 on Machine 5 : 4489 + 57 -> 4546
Job 5 Operation 12 on Machine 3 : 4524 + 342 -> 4866
Job 7 Operation 12 on Machine 13 : 4524 + 55 -> 4579
Job 3 Operation 10 on Machine 11 : 4528 + 32 -> 4560
Job 6 Operation 13 on Machine 1 : 4529 + 319 -> 4848
Job 12 Operation 13 on Machine 12 : 4529 + 428 -> 4957
Job 3 Operation 11 on Machine 4 : 4560 + 44 -> 4604
Job 7 Operation 13 on Machine 9 : 4579 + 195 -> 4774
Job 10 Operation 13 on Machine 2 : 4604 + 51 -> 4655
Job 13 Operation 14 on Machine 4 : 4604 + 222 -> 4826
Job 3 Operation 12 on Machine 13 : 4604 + 63 -> 4667
Job 0 Operation 13 on Machine 0 : 4623 + 402 -> 5025
Job 4 Operation 13 on Machine 10 : 4623 + 204 -> 4827
Job 11 Operation 13 on Machine 8 : 4769 + 136 -> 4905
Job 8 Operation 14 on Machine 9 : 4774 + 227 -> 5001
Job 7 Operation 14 on Machine 1 : 4848 + 235 -> 5083
Job 6 Operation 14 on Machine 14 : 4848 + 204 -> 5052
Job 9 Operation 13 on Machine 3 : 4866 + 48 -> 4914
Job 5 Operation 13 on Machine 6 : 4866 + 176 -> 5042
Job 14 Operation 14 on Machine 8 : 4905 + 406 -> 5311
Job 3 Operation 13 on Machine 3 : 4914 + 204 -> 5118
Job 9 Operation 14 on Machine 4 : 4914 + 303 -> 5217
Job 12 Operation 14 on Machine 9 : 5001 + 321 -> 5322
Job 11 Operation 14 on Machine 0 : 5025 + 35 -> 5060
Job 0 Operation 14 on Machine 5 : 5025 + 317 -> 5342
Job 10 Operation 14 on Machine 6 : 5042 + 112 -> 5154
Job 5 Operation 14 on Machine 14 : 5052 + 205 -> 5257
Job 3 Operation 14 on Machine 1 : 5118 + 167 -> 5285
Job 4 Operation 14 on Machine 6 : 5154 + 95 -> 5249
Makespan: 5342.0, as it is the maximum end completion time of Operation 14
| 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 0 duration 340 mins.
Operation 1 on Machine 1 duration 324 mins.
Operation 2 on Machine 2 duration 340 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 351 mins.
Operation 1 on Machine 1 duration 364 mins.
Operation 2 on Machine 2 duration 222 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 30 mins.
Operation 1 on Machine 1 duration 235 mins.
Operation 2 on Machine 2 duration 347 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 383 mins.
Operation 1 on Machine 2 duration 387 mins.
Operation 2 on Machine 0 duration 125 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 0 Operation 0 duration 340 mins.
Job 1 Operation 0 duration 351 mins.
Job 2 Operation 0 duration 30 mins.
Job 3 Operation 2 duration 125 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 383 mins.
Job 0 Operation 1 duration 324 mins.
Job 1 Operation 1 duration 364 mins.
Job 2 Operation 1 duration 235 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 387 mins.
Job 0 Operation 2 duration 340 mins.
Job 1 Operation 2 duration 222 mins.
Job 2 Operation 2 duration 347 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 30 -> 30
Job 0 Operation 0 on Machine 0 : 30 + 340 -> 370
Job 2 Operation 1 on Machine 1 : 30 + 235 -> 265
Job 3 Operation 0 on Machine 1 : 265 + 383 -> 648
Job 2 Operation 2 on Machine 2 : 265 + 347 -> 612
Job 1 Operation 0 on Machine 0 : 370 + 351 -> 721
Job 0 Operation 1 on Machine 1 : 648 + 324 -> 972
Job 3 Operation 1 on Machine 2 : 648 + 387 -> 1035
Job 1 Operation 1 on Machine 1 : 972 + 364 -> 1336
Job 3 Operation 2 on Machine 0 : 1035 + 125 -> 1160
Job 0 Operation 2 on Machine 2 : 1035 + 340 -> 1375
Job 1 Operation 2 on Machine 2 : 1375 + 222 -> 1597
Makespan: 1597.0, as it is the maximum end completion time of Operation 2
| null |
|
4 | 4 |
Optimize schedule for 4 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 138 mins.
Operation 1 on Machine 2 duration 88 mins.
Operation 2 on Machine 3 duration 87 mins.
Operation 3 on Machine 0 duration 76 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 21 mins.
Operation 1 on Machine 3 duration 137 mins.
Operation 2 on Machine 0 duration 92 mins.
Operation 3 on Machine 2 duration 75 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 31 mins.
Operation 1 on Machine 2 duration 41 mins.
Operation 2 on Machine 1 duration 54 mins.
Operation 3 on Machine 0 duration 19 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 91 mins.
Operation 1 on Machine 1 duration 80 mins.
Operation 2 on Machine 2 duration 34 mins.
Operation 3 on Machine 0 duration 96 mins.
| null |
Optimize schedule for 4 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 2 duration 92 mins.
Job 0 Operation 3 duration 76 mins.
Job 2 Operation 3 duration 19 mins.
Job 3 Operation 3 duration 96 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 138 mins.
Job 1 Operation 0 duration 21 mins.
Job 3 Operation 1 duration 80 mins.
Job 2 Operation 2 duration 54 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 88 mins.
Job 2 Operation 1 duration 41 mins.
Job 3 Operation 2 duration 34 mins.
Job 1 Operation 3 duration 75 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 31 mins.
Job 3 Operation 0 duration 91 mins.
Job 1 Operation 1 duration 137 mins.
Job 0 Operation 2 duration 87 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 1 : 0 + 21 -> 21
Job 3 Operation 0 on Machine 3 : 0 + 91 -> 91
Job 0 Operation 0 on Machine 1 : 21 + 138 -> 159
Job 1 Operation 1 on Machine 3 : 91 + 137 -> 228
Job 3 Operation 1 on Machine 1 : 159 + 80 -> 239
Job 0 Operation 1 on Machine 2 : 159 + 88 -> 247
Job 1 Operation 2 on Machine 0 : 228 + 92 -> 320
Job 3 Operation 2 on Machine 2 : 247 + 34 -> 281
Job 0 Operation 2 on Machine 3 : 247 + 87 -> 334
Job 3 Operation 3 on Machine 0 : 320 + 96 -> 416
Job 1 Operation 3 on Machine 2 : 320 + 75 -> 395
Job 2 Operation 0 on Machine 3 : 334 + 31 -> 365
Job 2 Operation 1 on Machine 2 : 395 + 41 -> 436
Job 0 Operation 3 on Machine 0 : 416 + 76 -> 492
Job 2 Operation 2 on Machine 1 : 436 + 54 -> 490
Job 2 Operation 3 on Machine 0 : 492 + 19 -> 511
Makespan: 511.0, as it is the maximum end completion time of Operation 3
| 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 292 mins.
Operation 1 on Machine 1 duration 233 mins.
Operation 2 on Machine 0 duration 304 mins.
Operation 3 on Machine 3 duration 209 mins.
Operation 4 on Machine 4 duration 460 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 72 mins.
Operation 1 on Machine 4 duration 483 mins.
Operation 2 on Machine 3 duration 225 mins.
Operation 3 on Machine 0 duration 52 mins.
Operation 4 on Machine 1 duration 257 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 147 mins.
Operation 1 on Machine 1 duration 233 mins.
Operation 2 on Machine 0 duration 177 mins.
Operation 3 on Machine 3 duration 54 mins.
Operation 4 on Machine 2 duration 153 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 45 mins.
Operation 1 on Machine 4 duration 256 mins.
Operation 2 on Machine 2 duration 415 mins.
Operation 3 on Machine 3 duration 471 mins.
Operation 4 on Machine 0 duration 401 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 427 mins.
Operation 1 on Machine 3 duration 66 mins.
Operation 2 on Machine 0 duration 266 mins.
Operation 3 on Machine 2 duration 247 mins.
Operation 4 on Machine 1 duration 38 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 294 mins.
Operation 1 on Machine 1 duration 12 mins.
Operation 2 on Machine 4 duration 49 mins.
Operation 3 on Machine 2 duration 454 mins.
Operation 4 on Machine 0 duration 210 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 2 duration 304 mins.
Job 2 Operation 2 duration 177 mins.
Job 4 Operation 2 duration 266 mins.
Job 1 Operation 3 duration 52 mins.
Job 3 Operation 4 duration 401 mins.
Job 5 Operation 4 duration 210 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 45 mins.
Job 0 Operation 1 duration 233 mins.
Job 2 Operation 1 duration 233 mins.
Job 5 Operation 1 duration 12 mins.
Job 1 Operation 4 duration 257 mins.
Job 4 Operation 4 duration 38 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 292 mins.
Job 1 Operation 0 duration 72 mins.
Job 3 Operation 2 duration 415 mins.
Job 4 Operation 3 duration 247 mins.
Job 5 Operation 3 duration 454 mins.
Job 2 Operation 4 duration 153 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 294 mins.
Job 4 Operation 1 duration 66 mins.
Job 1 Operation 2 duration 225 mins.
Job 0 Operation 3 duration 209 mins.
Job 2 Operation 3 duration 54 mins.
Job 3 Operation 3 duration 471 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 147 mins.
Job 4 Operation 0 duration 427 mins.
Job 1 Operation 1 duration 483 mins.
Job 3 Operation 1 duration 256 mins.
Job 5 Operation 2 duration 49 mins.
Job 0 Operation 4 duration 460 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 1 : 0 + 45 -> 45
Job 0 Operation 0 on Machine 2 : 0 + 292 -> 292
Job 5 Operation 0 on Machine 3 : 0 + 294 -> 294
Job 3 Operation 1 on Machine 4 : 45 + 256 -> 301
Job 5 Operation 1 on Machine 1 : 294 + 12 -> 306
Job 3 Operation 2 on Machine 2 : 301 + 415 -> 716
Job 4 Operation 0 on Machine 4 : 301 + 427 -> 728
Job 0 Operation 1 on Machine 1 : 306 + 233 -> 539
Job 0 Operation 2 on Machine 0 : 539 + 304 -> 843
Job 1 Operation 0 on Machine 2 : 716 + 72 -> 788
Job 4 Operation 1 on Machine 3 : 728 + 66 -> 794
Job 2 Operation 0 on Machine 4 : 728 + 147 -> 875
Job 3 Operation 3 on Machine 3 : 794 + 471 -> 1265
Job 4 Operation 2 on Machine 0 : 843 + 266 -> 1109
Job 2 Operation 1 on Machine 1 : 875 + 233 -> 1108
Job 5 Operation 2 on Machine 4 : 875 + 49 -> 924
Job 5 Operation 3 on Machine 2 : 924 + 454 -> 1378
Job 1 Operation 1 on Machine 4 : 924 + 483 -> 1407
Job 2 Operation 2 on Machine 0 : 1109 + 177 -> 1286
Job 0 Operation 3 on Machine 3 : 1265 + 209 -> 1474
Job 3 Operation 4 on Machine 0 : 1286 + 401 -> 1687
Job 4 Operation 3 on Machine 2 : 1378 + 247 -> 1625
Job 1 Operation 2 on Machine 3 : 1474 + 225 -> 1699
Job 0 Operation 4 on Machine 4 : 1474 + 460 -> 1934
Job 4 Operation 4 on Machine 1 : 1625 + 38 -> 1663
Job 1 Operation 3 on Machine 0 : 1699 + 52 -> 1751
Job 2 Operation 3 on Machine 3 : 1699 + 54 -> 1753
Job 5 Operation 4 on Machine 0 : 1751 + 210 -> 1961
Job 1 Operation 4 on Machine 1 : 1751 + 257 -> 2008
Job 2 Operation 4 on Machine 2 : 1753 + 153 -> 1906
Makespan: 2008.0, as it is the maximum end completion time of Operation 4
| 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 356 mins.
Operation 1 on Machine 1 duration 254 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 331 mins.
Operation 1 on Machine 0 duration 322 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 356 mins.
Job 1 Operation 1 duration 322 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 331 mins.
Job 0 Operation 1 duration 254 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 356 -> 356
Job 1 Operation 0 on Machine 1 : 0 + 331 -> 331
Job 1 Operation 1 on Machine 0 : 356 + 322 -> 678
Job 0 Operation 1 on Machine 1 : 356 + 254 -> 610
Makespan: 678.0, 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 48 mins.
Operation 1 on Machine 1 duration 184 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 88 mins.
Operation 1 on Machine 1 duration 129 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 313 mins.
Operation 1 on Machine 1 duration 238 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 234 mins.
Operation 1 on Machine 1 duration 123 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 327 mins.
Operation 1 on Machine 1 duration 117 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 280 mins.
Operation 1 on Machine 0 duration 299 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 39 mins.
Operation 1 on Machine 1 duration 94 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 48 mins.
Job 1 Operation 0 duration 88 mins.
Job 2 Operation 0 duration 313 mins.
Job 3 Operation 0 duration 234 mins.
Job 4 Operation 0 duration 327 mins.
Job 6 Operation 0 duration 39 mins.
Job 5 Operation 1 duration 299 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 280 mins.
Job 0 Operation 1 duration 184 mins.
Job 1 Operation 1 duration 129 mins.
Job 2 Operation 1 duration 238 mins.
Job 3 Operation 1 duration 123 mins.
Job 4 Operation 1 duration 117 mins.
Job 6 Operation 1 duration 94 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 39 -> 39
Job 3 Operation 0 on Machine 0 : 39 + 234 -> 273
Job 6 Operation 1 on Machine 1 : 39 + 94 -> 133
Job 2 Operation 0 on Machine 0 : 273 + 313 -> 586
Job 3 Operation 1 on Machine 1 : 273 + 123 -> 396
Job 5 Operation 0 on Machine 1 : 396 + 280 -> 676
Job 4 Operation 0 on Machine 0 : 586 + 327 -> 913
Job 2 Operation 1 on Machine 1 : 676 + 238 -> 914
Job 0 Operation 0 on Machine 0 : 913 + 48 -> 961
Job 4 Operation 1 on Machine 1 : 914 + 117 -> 1031
Job 1 Operation 0 on Machine 0 : 961 + 88 -> 1049
Job 0 Operation 1 on Machine 1 : 1031 + 184 -> 1215
Job 5 Operation 1 on Machine 0 : 1049 + 299 -> 1348
Job 1 Operation 1 on Machine 1 : 1215 + 129 -> 1344
Makespan: 1348.0, as it is the maximum end completion time of Operation 1
| 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 3 duration 137 mins.
Operation 1 on Machine 4 duration 238 mins.
Operation 2 on Machine 7 duration 151 mins.
Operation 3 on Machine 0 duration 51 mins.
Operation 4 on Machine 10 duration 203 mins.
Operation 5 on Machine 9 duration 26 mins.
Operation 6 on Machine 11 duration 120 mins.
Operation 7 on Machine 2 duration 30 mins.
Operation 8 on Machine 12 duration 15 mins.
Operation 9 on Machine 13 duration 40 mins.
Operation 10 on Machine 8 duration 241 mins.
Operation 11 on Machine 6 duration 106 mins.
Operation 12 on Machine 5 duration 276 mins.
Operation 13 on Machine 1 duration 77 mins.
Operation 14 on Machine 14 duration 51 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 10 duration 94 mins.
Operation 1 on Machine 2 duration 275 mins.
Operation 2 on Machine 3 duration 250 mins.
Operation 3 on Machine 5 duration 47 mins.
Operation 4 on Machine 1 duration 258 mins.
Operation 5 on Machine 6 duration 65 mins.
Operation 6 on Machine 9 duration 228 mins.
Operation 7 on Machine 14 duration 125 mins.
Operation 8 on Machine 7 duration 94 mins.
Operation 9 on Machine 11 duration 8 mins.
Operation 10 on Machine 4 duration 155 mins.
Operation 11 on Machine 12 duration 205 mins.
Operation 12 on Machine 13 duration 53 mins.
Operation 13 on Machine 0 duration 190 mins.
Operation 14 on Machine 8 duration 116 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 10 duration 258 mins.
Operation 1 on Machine 5 duration 62 mins.
Operation 2 on Machine 8 duration 200 mins.
Operation 3 on Machine 1 duration 212 mins.
Operation 4 on Machine 2 duration 269 mins.
Operation 5 on Machine 7 duration 133 mins.
Operation 6 on Machine 11 duration 251 mins.
Operation 7 on Machine 4 duration 272 mins.
Operation 8 on Machine 12 duration 39 mins.
Operation 9 on Machine 6 duration 215 mins.
Operation 10 on Machine 3 duration 185 mins.
Operation 11 on Machine 13 duration 111 mins.
Operation 12 on Machine 9 duration 108 mins.
Operation 13 on Machine 0 duration 268 mins.
Operation 14 on Machine 14 duration 154 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 46 mins.
Operation 1 on Machine 9 duration 241 mins.
Operation 2 on Machine 1 duration 160 mins.
Operation 3 on Machine 12 duration 125 mins.
Operation 4 on Machine 2 duration 45 mins.
Operation 5 on Machine 10 duration 214 mins.
Operation 6 on Machine 3 duration 129 mins.
Operation 7 on Machine 7 duration 93 mins.
Operation 8 on Machine 13 duration 66 mins.
Operation 9 on Machine 14 duration 173 mins.
Operation 10 on Machine 4 duration 50 mins.
Operation 11 on Machine 8 duration 39 mins.
Operation 12 on Machine 5 duration 164 mins.
Operation 13 on Machine 6 duration 89 mins.
Operation 14 on Machine 11 duration 285 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 53 mins.
Operation 1 on Machine 1 duration 13 mins.
Operation 2 on Machine 6 duration 165 mins.
Operation 3 on Machine 14 duration 120 mins.
Operation 4 on Machine 5 duration 152 mins.
Operation 5 on Machine 7 duration 33 mins.
Operation 6 on Machine 11 duration 36 mins.
Operation 7 on Machine 13 duration 11 mins.
Operation 8 on Machine 0 duration 5 mins.
Operation 9 on Machine 9 duration 235 mins.
Operation 10 on Machine 12 duration 169 mins.
Operation 11 on Machine 2 duration 241 mins.
Operation 12 on Machine 8 duration 268 mins.
Operation 13 on Machine 3 duration 271 mins.
Operation 14 on Machine 10 duration 15 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 89 mins.
Operation 1 on Machine 12 duration 251 mins.
Operation 2 on Machine 4 duration 207 mins.
Operation 3 on Machine 14 duration 80 mins.
Operation 4 on Machine 13 duration 190 mins.
Operation 5 on Machine 3 duration 153 mins.
Operation 6 on Machine 8 duration 49 mins.
Operation 7 on Machine 5 duration 154 mins.
Operation 8 on Machine 7 duration 133 mins.
Operation 9 on Machine 11 duration 117 mins.
Operation 10 on Machine 2 duration 268 mins.
Operation 11 on Machine 10 duration 26 mins.
Operation 12 on Machine 9 duration 79 mins.
Operation 13 on Machine 1 duration 190 mins.
Operation 14 on Machine 6 duration 104 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 178 mins.
Operation 1 on Machine 9 duration 72 mins.
Operation 2 on Machine 10 duration 275 mins.
Operation 3 on Machine 12 duration 275 mins.
Operation 4 on Machine 11 duration 246 mins.
Operation 5 on Machine 7 duration 247 mins.
Operation 6 on Machine 8 duration 244 mins.
Operation 7 on Machine 2 duration 59 mins.
Operation 8 on Machine 14 duration 90 mins.
Operation 9 on Machine 13 duration 1 mins.
Operation 10 on Machine 5 duration 96 mins.
Operation 11 on Machine 4 duration 23 mins.
Operation 12 on Machine 0 duration 103 mins.
Operation 13 on Machine 3 duration 54 mins.
Operation 14 on Machine 1 duration 32 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 7 duration 78 mins.
Operation 1 on Machine 5 duration 52 mins.
Operation 2 on Machine 13 duration 58 mins.
Operation 3 on Machine 4 duration 220 mins.
Operation 4 on Machine 0 duration 202 mins.
Operation 5 on Machine 8 duration 20 mins.
Operation 6 on Machine 3 duration 66 mins.
Operation 7 on Machine 1 duration 285 mins.
Operation 8 on Machine 11 duration 252 mins.
Operation 9 on Machine 2 duration 43 mins.
Operation 10 on Machine 10 duration 113 mins.
Operation 11 on Machine 14 duration 100 mins.
Operation 12 on Machine 12 duration 46 mins.
Operation 13 on Machine 6 duration 105 mins.
Operation 14 on Machine 9 duration 193 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 7 mins.
Operation 1 on Machine 14 duration 271 mins.
Operation 2 on Machine 11 duration 196 mins.
Operation 3 on Machine 12 duration 142 mins.
Operation 4 on Machine 8 duration 98 mins.
Operation 5 on Machine 10 duration 28 mins.
Operation 6 on Machine 6 duration 115 mins.
Operation 7 on Machine 1 duration 194 mins.
Operation 8 on Machine 7 duration 236 mins.
Operation 9 on Machine 13 duration 108 mins.
Operation 10 on Machine 3 duration 252 mins.
Operation 11 on Machine 0 duration 97 mins.
Operation 12 on Machine 9 duration 256 mins.
Operation 13 on Machine 4 duration 6 mins.
Operation 14 on Machine 5 duration 148 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 51 mins.
Operation 1 on Machine 5 duration 164 mins.
Operation 2 on Machine 2 duration 266 mins.
Operation 3 on Machine 3 duration 274 mins.
Operation 4 on Machine 4 duration 38 mins.
Operation 5 on Machine 8 duration 201 mins.
Operation 6 on Machine 12 duration 143 mins.
Operation 7 on Machine 11 duration 172 mins.
Operation 8 on Machine 10 duration 40 mins.
Operation 9 on Machine 0 duration 49 mins.
Operation 10 on Machine 13 duration 158 mins.
Operation 11 on Machine 7 duration 27 mins.
Operation 12 on Machine 6 duration 199 mins.
Operation 13 on Machine 14 duration 59 mins.
Operation 14 on Machine 9 duration 57 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 10 duration 15 mins.
Operation 1 on Machine 9 duration 257 mins.
Operation 2 on Machine 14 duration 186 mins.
Operation 3 on Machine 2 duration 18 mins.
Operation 4 on Machine 6 duration 118 mins.
Operation 5 on Machine 7 duration 149 mins.
Operation 6 on Machine 11 duration 237 mins.
Operation 7 on Machine 1 duration 170 mins.
Operation 8 on Machine 12 duration 72 mins.
Operation 9 on Machine 5 duration 105 mins.
Operation 10 on Machine 8 duration 166 mins.
Operation 11 on Machine 13 duration 14 mins.
Operation 12 on Machine 4 duration 217 mins.
Operation 13 on Machine 3 duration 109 mins.
Operation 14 on Machine 0 duration 272 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 11 duration 135 mins.
Operation 1 on Machine 1 duration 130 mins.
Operation 2 on Machine 13 duration 6 mins.
Operation 3 on Machine 12 duration 36 mins.
Operation 4 on Machine 0 duration 251 mins.
Operation 5 on Machine 14 duration 154 mins.
Operation 6 on Machine 3 duration 8 mins.
Operation 7 on Machine 2 duration 97 mins.
Operation 8 on Machine 5 duration 279 mins.
Operation 9 on Machine 8 duration 12 mins.
Operation 10 on Machine 9 duration 177 mins.
Operation 11 on Machine 6 duration 87 mins.
Operation 12 on Machine 7 duration 128 mins.
Operation 13 on Machine 4 duration 261 mins.
Operation 14 on Machine 10 duration 38 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 12 duration 101 mins.
Operation 1 on Machine 5 duration 275 mins.
Operation 2 on Machine 10 duration 231 mins.
Operation 3 on Machine 13 duration 206 mins.
Operation 4 on Machine 6 duration 6 mins.
Operation 5 on Machine 2 duration 31 mins.
Operation 6 on Machine 3 duration 117 mins.
Operation 7 on Machine 4 duration 176 mins.
Operation 8 on Machine 7 duration 40 mins.
Operation 9 on Machine 0 duration 156 mins.
Operation 10 on Machine 9 duration 32 mins.
Operation 11 on Machine 14 duration 280 mins.
Operation 12 on Machine 11 duration 243 mins.
Operation 13 on Machine 1 duration 264 mins.
Operation 14 on Machine 8 duration 137 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 4 duration 170 mins.
Operation 1 on Machine 8 duration 221 mins.
Operation 2 on Machine 1 duration 43 mins.
Operation 3 on Machine 7 duration 283 mins.
Operation 4 on Machine 0 duration 31 mins.
Operation 5 on Machine 14 duration 275 mins.
Operation 6 on Machine 11 duration 205 mins.
Operation 7 on Machine 13 duration 55 mins.
Operation 8 on Machine 5 duration 25 mins.
Operation 9 on Machine 12 duration 6 mins.
Operation 10 on Machine 3 duration 43 mins.
Operation 11 on Machine 6 duration 60 mins.
Operation 12 on Machine 9 duration 126 mins.
Operation 13 on Machine 2 duration 81 mins.
Operation 14 on Machine 10 duration 251 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 4 duration 178 mins.
Operation 1 on Machine 9 duration 191 mins.
Operation 2 on Machine 6 duration 76 mins.
Operation 3 on Machine 10 duration 283 mins.
Operation 4 on Machine 2 duration 114 mins.
Operation 5 on Machine 1 duration 271 mins.
Operation 6 on Machine 7 duration 11 mins.
Operation 7 on Machine 5 duration 257 mins.
Operation 8 on Machine 3 duration 100 mins.
Operation 9 on Machine 0 duration 73 mins.
Operation 10 on Machine 8 duration 131 mins.
Operation 11 on Machine 11 duration 243 mins.
Operation 12 on Machine 14 duration 17 mins.
Operation 13 on Machine 12 duration 128 mins.
Operation 14 on Machine 13 duration 266 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 2 duration 78 mins.
Operation 1 on Machine 0 duration 280 mins.
Operation 2 on Machine 1 duration 62 mins.
Operation 3 on Machine 9 duration 154 mins.
Operation 4 on Machine 3 duration 22 mins.
Operation 5 on Machine 14 duration 176 mins.
Operation 6 on Machine 10 duration 99 mins.
Operation 7 on Machine 7 duration 211 mins.
Operation 8 on Machine 12 duration 152 mins.
Operation 9 on Machine 13 duration 95 mins.
Operation 10 on Machine 5 duration 106 mins.
Operation 11 on Machine 11 duration 86 mins.
Operation 12 on Machine 8 duration 177 mins.
Operation 13 on Machine 6 duration 228 mins.
Operation 14 on Machine 4 duration 227 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 6 duration 173 mins.
Operation 1 on Machine 11 duration 134 mins.
Operation 2 on Machine 13 duration 138 mins.
Operation 3 on Machine 4 duration 206 mins.
Operation 4 on Machine 3 duration 46 mins.
Operation 5 on Machine 7 duration 51 mins.
Operation 6 on Machine 1 duration 88 mins.
Operation 7 on Machine 5 duration 180 mins.
Operation 8 on Machine 14 duration 109 mins.
Operation 9 on Machine 8 duration 38 mins.
Operation 10 on Machine 10 duration 265 mins.
Operation 11 on Machine 0 duration 51 mins.
Operation 12 on Machine 12 duration 68 mins.
Operation 13 on Machine 9 duration 199 mins.
Operation 14 on Machine 2 duration 221 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 9 duration 152 mins.
Operation 1 on Machine 3 duration 119 mins.
Operation 2 on Machine 1 duration 186 mins.
Operation 3 on Machine 11 duration 41 mins.
Operation 4 on Machine 13 duration 61 mins.
Operation 5 on Machine 6 duration 76 mins.
Operation 6 on Machine 12 duration 83 mins.
Operation 7 on Machine 14 duration 47 mins.
Operation 8 on Machine 8 duration 175 mins.
Operation 9 on Machine 0 duration 197 mins.
Operation 10 on Machine 7 duration 58 mins.
Operation 11 on Machine 4 duration 65 mins.
Operation 12 on Machine 10 duration 91 mins.
Operation 13 on Machine 2 duration 64 mins.
Operation 14 on Machine 5 duration 53 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 9 duration 119 mins.
Operation 1 on Machine 1 duration 147 mins.
Operation 2 on Machine 8 duration 268 mins.
Operation 3 on Machine 0 duration 202 mins.
Operation 4 on Machine 5 duration 46 mins.
Operation 5 on Machine 10 duration 58 mins.
Operation 6 on Machine 4 duration 176 mins.
Operation 7 on Machine 6 duration 144 mins.
Operation 8 on Machine 2 duration 111 mins.
Operation 9 on Machine 3 duration 230 mins.
Operation 10 on Machine 12 duration 128 mins.
Operation 11 on Machine 13 duration 21 mins.
Operation 12 on Machine 7 duration 227 mins.
Operation 13 on Machine 14 duration 173 mins.
Operation 14 on Machine 11 duration 169 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 2 duration 65 mins.
Operation 1 on Machine 12 duration 126 mins.
Operation 2 on Machine 9 duration 23 mins.
Operation 3 on Machine 3 duration 283 mins.
Operation 4 on Machine 14 duration 95 mins.
Operation 5 on Machine 11 duration 104 mins.
Operation 6 on Machine 10 duration 138 mins.
Operation 7 on Machine 13 duration 117 mins.
Operation 8 on Machine 7 duration 244 mins.
Operation 9 on Machine 0 duration 97 mins.
Operation 10 on Machine 8 duration 107 mins.
Operation 11 on Machine 1 duration 44 mins.
Operation 12 on Machine 5 duration 12 mins.
Operation 13 on Machine 4 duration 3 mins.
Operation 14 on Machine 6 duration 153 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 3 Operation 0 duration 46 mins.
Job 5 Operation 0 duration 89 mins.
Job 15 Operation 1 duration 280 mins.
Job 0 Operation 3 duration 51 mins.
Job 18 Operation 3 duration 202 mins.
Job 7 Operation 4 duration 202 mins.
Job 11 Operation 4 duration 251 mins.
Job 13 Operation 4 duration 31 mins.
Job 4 Operation 8 duration 5 mins.
Job 9 Operation 9 duration 49 mins.
Job 12 Operation 9 duration 156 mins.
Job 14 Operation 9 duration 73 mins.
Job 17 Operation 9 duration 197 mins.
Job 19 Operation 9 duration 97 mins.
Job 8 Operation 11 duration 97 mins.
Job 16 Operation 11 duration 51 mins.
Job 6 Operation 12 duration 103 mins.
Job 1 Operation 13 duration 190 mins.
Job 2 Operation 13 duration 268 mins.
Job 10 Operation 14 duration 272 mins.
Machine 1 is used for the following Operations:
Job 9 Operation 0 duration 51 mins.
Job 4 Operation 1 duration 13 mins.
Job 11 Operation 1 duration 130 mins.
Job 18 Operation 1 duration 147 mins.
Job 3 Operation 2 duration 160 mins.
Job 13 Operation 2 duration 43 mins.
Job 15 Operation 2 duration 62 mins.
Job 17 Operation 2 duration 186 mins.
Job 2 Operation 3 duration 212 mins.
Job 1 Operation 4 duration 258 mins.
Job 14 Operation 5 duration 271 mins.
Job 16 Operation 6 duration 88 mins.
Job 7 Operation 7 duration 285 mins.
Job 8 Operation 7 duration 194 mins.
Job 10 Operation 7 duration 170 mins.
Job 19 Operation 11 duration 44 mins.
Job 0 Operation 13 duration 77 mins.
Job 5 Operation 13 duration 190 mins.
Job 12 Operation 13 duration 264 mins.
Job 6 Operation 14 duration 32 mins.
Machine 2 is used for the following Operations:
Job 8 Operation 0 duration 7 mins.
Job 15 Operation 0 duration 78 mins.
Job 19 Operation 0 duration 65 mins.
Job 1 Operation 1 duration 275 mins.
Job 9 Operation 2 duration 266 mins.
Job 10 Operation 3 duration 18 mins.
Job 2 Operation 4 duration 269 mins.
Job 3 Operation 4 duration 45 mins.
Job 14 Operation 4 duration 114 mins.
Job 12 Operation 5 duration 31 mins.
Job 0 Operation 7 duration 30 mins.
Job 6 Operation 7 duration 59 mins.
Job 11 Operation 7 duration 97 mins.
Job 18 Operation 8 duration 111 mins.
Job 7 Operation 9 duration 43 mins.
Job 5 Operation 10 duration 268 mins.
Job 4 Operation 11 duration 241 mins.
Job 13 Operation 13 duration 81 mins.
Job 17 Operation 13 duration 64 mins.
Job 16 Operation 14 duration 221 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 137 mins.
Job 17 Operation 1 duration 119 mins.
Job 1 Operation 2 duration 250 mins.
Job 9 Operation 3 duration 274 mins.
Job 19 Operation 3 duration 283 mins.
Job 15 Operation 4 duration 22 mins.
Job 16 Operation 4 duration 46 mins.
Job 5 Operation 5 duration 153 mins.
Job 3 Operation 6 duration 129 mins.
Job 7 Operation 6 duration 66 mins.
Job 11 Operation 6 duration 8 mins.
Job 12 Operation 6 duration 117 mins.
Job 14 Operation 8 duration 100 mins.
Job 18 Operation 9 duration 230 mins.
Job 2 Operation 10 duration 185 mins.
Job 8 Operation 10 duration 252 mins.
Job 13 Operation 10 duration 43 mins.
Job 4 Operation 13 duration 271 mins.
Job 6 Operation 13 duration 54 mins.
Job 10 Operation 13 duration 109 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 53 mins.
Job 13 Operation 0 duration 170 mins.
Job 14 Operation 0 duration 178 mins.
Job 0 Operation 1 duration 238 mins.
Job 5 Operation 2 duration 207 mins.
Job 7 Operation 3 duration 220 mins.
Job 16 Operation 3 duration 206 mins.
Job 9 Operation 4 duration 38 mins.
Job 18 Operation 6 duration 176 mins.
Job 2 Operation 7 duration 272 mins.
Job 12 Operation 7 duration 176 mins.
Job 1 Operation 10 duration 155 mins.
Job 3 Operation 10 duration 50 mins.
Job 6 Operation 11 duration 23 mins.
Job 17 Operation 11 duration 65 mins.
Job 10 Operation 12 duration 217 mins.
Job 8 Operation 13 duration 6 mins.
Job 11 Operation 13 duration 261 mins.
Job 19 Operation 13 duration 3 mins.
Job 15 Operation 14 duration 227 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 1 duration 62 mins.
Job 7 Operation 1 duration 52 mins.
Job 9 Operation 1 duration 164 mins.
Job 12 Operation 1 duration 275 mins.
Job 1 Operation 3 duration 47 mins.
Job 4 Operation 4 duration 152 mins.
Job 18 Operation 4 duration 46 mins.
Job 5 Operation 7 duration 154 mins.
Job 14 Operation 7 duration 257 mins.
Job 16 Operation 7 duration 180 mins.
Job 11 Operation 8 duration 279 mins.
Job 13 Operation 8 duration 25 mins.
Job 10 Operation 9 duration 105 mins.
Job 6 Operation 10 duration 96 mins.
Job 15 Operation 10 duration 106 mins.
Job 0 Operation 12 duration 276 mins.
Job 3 Operation 12 duration 164 mins.
Job 19 Operation 12 duration 12 mins.
Job 8 Operation 14 duration 148 mins.
Job 17 Operation 14 duration 53 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 0 duration 178 mins.
Job 16 Operation 0 duration 173 mins.
Job 4 Operation 2 duration 165 mins.
Job 14 Operation 2 duration 76 mins.
Job 10 Operation 4 duration 118 mins.
Job 12 Operation 4 duration 6 mins.
Job 1 Operation 5 duration 65 mins.
Job 17 Operation 5 duration 76 mins.
Job 8 Operation 6 duration 115 mins.
Job 18 Operation 7 duration 144 mins.
Job 2 Operation 9 duration 215 mins.
Job 0 Operation 11 duration 106 mins.
Job 11 Operation 11 duration 87 mins.
Job 13 Operation 11 duration 60 mins.
Job 9 Operation 12 duration 199 mins.
Job 3 Operation 13 duration 89 mins.
Job 7 Operation 13 duration 105 mins.
Job 15 Operation 13 duration 228 mins.
Job 5 Operation 14 duration 104 mins.
Job 19 Operation 14 duration 153 mins.
Machine 7 is used for the following Operations:
Job 7 Operation 0 duration 78 mins.
Job 0 Operation 2 duration 151 mins.
Job 13 Operation 3 duration 283 mins.
Job 2 Operation 5 duration 133 mins.
Job 4 Operation 5 duration 33 mins.
Job 6 Operation 5 duration 247 mins.
Job 10 Operation 5 duration 149 mins.
Job 16 Operation 5 duration 51 mins.
Job 14 Operation 6 duration 11 mins.
Job 3 Operation 7 duration 93 mins.
Job 15 Operation 7 duration 211 mins.
Job 1 Operation 8 duration 94 mins.
Job 5 Operation 8 duration 133 mins.
Job 8 Operation 8 duration 236 mins.
Job 12 Operation 8 duration 40 mins.
Job 19 Operation 8 duration 244 mins.
Job 17 Operation 10 duration 58 mins.
Job 9 Operation 11 duration 27 mins.
Job 11 Operation 12 duration 128 mins.
Job 18 Operation 12 duration 227 mins.
Machine 8 is used for the following Operations:
Job 13 Operation 1 duration 221 mins.
Job 2 Operation 2 duration 200 mins.
Job 18 Operation 2 duration 268 mins.
Job 8 Operation 4 duration 98 mins.
Job 7 Operation 5 duration 20 mins.
Job 9 Operation 5 duration 201 mins.
Job 5 Operation 6 duration 49 mins.
Job 6 Operation 6 duration 244 mins.
Job 17 Operation 8 duration 175 mins.
Job 11 Operation 9 duration 12 mins.
Job 16 Operation 9 duration 38 mins.
Job 0 Operation 10 duration 241 mins.
Job 10 Operation 10 duration 166 mins.
Job 14 Operation 10 duration 131 mins.
Job 19 Operation 10 duration 107 mins.
Job 3 Operation 11 duration 39 mins.
Job 4 Operation 12 duration 268 mins.
Job 15 Operation 12 duration 177 mins.
Job 1 Operation 14 duration 116 mins.
Job 12 Operation 14 duration 137 mins.
Machine 9 is used for the following Operations:
Job 17 Operation 0 duration 152 mins.
Job 18 Operation 0 duration 119 mins.
Job 3 Operation 1 duration 241 mins.
Job 6 Operation 1 duration 72 mins.
Job 10 Operation 1 duration 257 mins.
Job 14 Operation 1 duration 191 mins.
Job 19 Operation 2 duration 23 mins.
Job 15 Operation 3 duration 154 mins.
Job 0 Operation 5 duration 26 mins.
Job 1 Operation 6 duration 228 mins.
Job 4 Operation 9 duration 235 mins.
Job 11 Operation 10 duration 177 mins.
Job 12 Operation 10 duration 32 mins.
Job 2 Operation 12 duration 108 mins.
Job 5 Operation 12 duration 79 mins.
Job 8 Operation 12 duration 256 mins.
Job 13 Operation 12 duration 126 mins.
Job 16 Operation 13 duration 199 mins.
Job 7 Operation 14 duration 193 mins.
Job 9 Operation 14 duration 57 mins.
Machine 10 is used for the following Operations:
Job 1 Operation 0 duration 94 mins.
Job 2 Operation 0 duration 258 mins.
Job 10 Operation 0 duration 15 mins.
Job 6 Operation 2 duration 275 mins.
Job 12 Operation 2 duration 231 mins.
Job 14 Operation 3 duration 283 mins.
Job 0 Operation 4 duration 203 mins.
Job 3 Operation 5 duration 214 mins.
Job 8 Operation 5 duration 28 mins.
Job 18 Operation 5 duration 58 mins.
Job 15 Operation 6 duration 99 mins.
Job 19 Operation 6 duration 138 mins.
Job 9 Operation 8 duration 40 mins.
Job 7 Operation 10 duration 113 mins.
Job 16 Operation 10 duration 265 mins.
Job 5 Operation 11 duration 26 mins.
Job 17 Operation 12 duration 91 mins.
Job 4 Operation 14 duration 15 mins.
Job 11 Operation 14 duration 38 mins.
Job 13 Operation 14 duration 251 mins.
Machine 11 is used for the following Operations:
Job 11 Operation 0 duration 135 mins.
Job 16 Operation 1 duration 134 mins.
Job 8 Operation 2 duration 196 mins.
Job 17 Operation 3 duration 41 mins.
Job 6 Operation 4 duration 246 mins.
Job 19 Operation 5 duration 104 mins.
Job 0 Operation 6 duration 120 mins.
Job 2 Operation 6 duration 251 mins.
Job 4 Operation 6 duration 36 mins.
Job 10 Operation 6 duration 237 mins.
Job 13 Operation 6 duration 205 mins.
Job 9 Operation 7 duration 172 mins.
Job 7 Operation 8 duration 252 mins.
Job 1 Operation 9 duration 8 mins.
Job 5 Operation 9 duration 117 mins.
Job 14 Operation 11 duration 243 mins.
Job 15 Operation 11 duration 86 mins.
Job 12 Operation 12 duration 243 mins.
Job 3 Operation 14 duration 285 mins.
Job 18 Operation 14 duration 169 mins.
Machine 12 is used for the following Operations:
Job 12 Operation 0 duration 101 mins.
Job 5 Operation 1 duration 251 mins.
Job 19 Operation 1 duration 126 mins.
Job 3 Operation 3 duration 125 mins.
Job 6 Operation 3 duration 275 mins.
Job 8 Operation 3 duration 142 mins.
Job 11 Operation 3 duration 36 mins.
Job 9 Operation 6 duration 143 mins.
Job 17 Operation 6 duration 83 mins.
Job 0 Operation 8 duration 15 mins.
Job 2 Operation 8 duration 39 mins.
Job 10 Operation 8 duration 72 mins.
Job 15 Operation 8 duration 152 mins.
Job 13 Operation 9 duration 6 mins.
Job 4 Operation 10 duration 169 mins.
Job 18 Operation 10 duration 128 mins.
Job 1 Operation 11 duration 205 mins.
Job 7 Operation 12 duration 46 mins.
Job 16 Operation 12 duration 68 mins.
Job 14 Operation 13 duration 128 mins.
Machine 13 is used for the following Operations:
Job 7 Operation 2 duration 58 mins.
Job 11 Operation 2 duration 6 mins.
Job 16 Operation 2 duration 138 mins.
Job 12 Operation 3 duration 206 mins.
Job 5 Operation 4 duration 190 mins.
Job 17 Operation 4 duration 61 mins.
Job 4 Operation 7 duration 11 mins.
Job 13 Operation 7 duration 55 mins.
Job 19 Operation 7 duration 117 mins.
Job 3 Operation 8 duration 66 mins.
Job 0 Operation 9 duration 40 mins.
Job 6 Operation 9 duration 1 mins.
Job 8 Operation 9 duration 108 mins.
Job 15 Operation 9 duration 95 mins.
Job 9 Operation 10 duration 158 mins.
Job 2 Operation 11 duration 111 mins.
Job 10 Operation 11 duration 14 mins.
Job 18 Operation 11 duration 21 mins.
Job 1 Operation 12 duration 53 mins.
Job 14 Operation 14 duration 266 mins.
Machine 14 is used for the following Operations:
Job 8 Operation 1 duration 271 mins.
Job 10 Operation 2 duration 186 mins.
Job 4 Operation 3 duration 120 mins.
Job 5 Operation 3 duration 80 mins.
Job 19 Operation 4 duration 95 mins.
Job 11 Operation 5 duration 154 mins.
Job 13 Operation 5 duration 275 mins.
Job 15 Operation 5 duration 176 mins.
Job 1 Operation 7 duration 125 mins.
Job 17 Operation 7 duration 47 mins.
Job 6 Operation 8 duration 90 mins.
Job 16 Operation 8 duration 109 mins.
Job 3 Operation 9 duration 173 mins.
Job 7 Operation 11 duration 100 mins.
Job 12 Operation 11 duration 280 mins.
Job 14 Operation 12 duration 17 mins.
Job 9 Operation 13 duration 59 mins.
Job 18 Operation 13 duration 173 mins.
Job 0 Operation 14 duration 51 mins.
Job 2 Operation 14 duration 154 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 89 -> 89
Job 9 Operation 0 on Machine 1 : 0 + 51 -> 51
Job 8 Operation 0 on Machine 2 : 0 + 7 -> 7
Job 0 Operation 0 on Machine 3 : 0 + 137 -> 137
Job 4 Operation 0 on Machine 4 : 0 + 53 -> 53
Job 6 Operation 0 on Machine 6 : 0 + 178 -> 178
Job 7 Operation 0 on Machine 7 : 0 + 78 -> 78
Job 18 Operation 0 on Machine 9 : 0 + 119 -> 119
Job 10 Operation 0 on Machine 10 : 0 + 15 -> 15
Job 11 Operation 0 on Machine 11 : 0 + 135 -> 135
Job 12 Operation 0 on Machine 12 : 0 + 101 -> 101
Job 15 Operation 0 on Machine 2 : 7 + 78 -> 85
Job 8 Operation 1 on Machine 14 : 7 + 271 -> 278
Job 1 Operation 0 on Machine 10 : 15 + 94 -> 109
Job 9 Operation 1 on Machine 5 : 51 + 164 -> 215
Job 4 Operation 1 on Machine 1 : 53 + 13 -> 66
Job 13 Operation 0 on Machine 4 : 53 + 170 -> 223
Job 19 Operation 0 on Machine 2 : 85 + 65 -> 150
Job 3 Operation 0 on Machine 0 : 89 + 46 -> 135
Job 5 Operation 1 on Machine 12 : 101 + 251 -> 352
Job 15 Operation 1 on Machine 0 : 135 + 280 -> 415
Job 11 Operation 1 on Machine 1 : 135 + 130 -> 265
Job 4 Operation 2 on Machine 6 : 178 + 165 -> 343
Job 6 Operation 1 on Machine 9 : 178 + 72 -> 250
Job 9 Operation 2 on Machine 2 : 215 + 266 -> 481
Job 12 Operation 1 on Machine 5 : 215 + 275 -> 490
Job 0 Operation 1 on Machine 4 : 223 + 238 -> 461
Job 13 Operation 1 on Machine 8 : 223 + 221 -> 444
Job 3 Operation 1 on Machine 9 : 250 + 241 -> 491
Job 6 Operation 2 on Machine 10 : 250 + 275 -> 525
Job 18 Operation 1 on Machine 1 : 265 + 147 -> 412
Job 11 Operation 2 on Machine 13 : 265 + 6 -> 271
Job 8 Operation 2 on Machine 11 : 278 + 196 -> 474
Job 16 Operation 0 on Machine 6 : 343 + 173 -> 516
Job 4 Operation 3 on Machine 14 : 343 + 120 -> 463
Job 11 Operation 3 on Machine 12 : 352 + 36 -> 388
Job 19 Operation 1 on Machine 12 : 388 + 126 -> 514
Job 11 Operation 4 on Machine 0 : 415 + 251 -> 666
Job 13 Operation 2 on Machine 1 : 444 + 43 -> 487
Job 18 Operation 2 on Machine 8 : 444 + 268 -> 712
Job 5 Operation 2 on Machine 4 : 461 + 207 -> 668
Job 0 Operation 2 on Machine 7 : 461 + 151 -> 612
Job 1 Operation 1 on Machine 2 : 481 + 275 -> 756
Job 9 Operation 3 on Machine 3 : 481 + 274 -> 755
Job 4 Operation 4 on Machine 5 : 490 + 152 -> 642
Job 3 Operation 2 on Machine 1 : 491 + 160 -> 651
Job 17 Operation 0 on Machine 9 : 491 + 152 -> 643
Job 16 Operation 1 on Machine 11 : 516 + 134 -> 650
Job 12 Operation 2 on Machine 10 : 525 + 231 -> 756
Job 6 Operation 3 on Machine 12 : 525 + 275 -> 800
Job 7 Operation 1 on Machine 5 : 642 + 52 -> 694
Job 4 Operation 5 on Machine 7 : 642 + 33 -> 675
Job 10 Operation 1 on Machine 9 : 643 + 257 -> 900
Job 15 Operation 2 on Machine 1 : 651 + 62 -> 713
Job 0 Operation 3 on Machine 0 : 666 + 51 -> 717
Job 11 Operation 5 on Machine 14 : 666 + 154 -> 820
Job 13 Operation 3 on Machine 7 : 675 + 283 -> 958
Job 4 Operation 6 on Machine 11 : 675 + 36 -> 711
Job 4 Operation 7 on Machine 13 : 711 + 11 -> 722
Job 4 Operation 8 on Machine 0 : 722 + 5 -> 727
Job 18 Operation 3 on Machine 0 : 727 + 202 -> 929
Job 17 Operation 1 on Machine 3 : 755 + 119 -> 874
Job 9 Operation 4 on Machine 4 : 755 + 38 -> 793
Job 2 Operation 0 on Machine 10 : 756 + 258 -> 1014
Job 12 Operation 3 on Machine 13 : 756 + 206 -> 962
Job 14 Operation 0 on Machine 4 : 793 + 178 -> 971
Job 9 Operation 5 on Machine 8 : 793 + 201 -> 994
Job 6 Operation 4 on Machine 11 : 800 + 246 -> 1046
Job 8 Operation 3 on Machine 12 : 800 + 142 -> 942
Job 5 Operation 3 on Machine 14 : 820 + 80 -> 900
Job 17 Operation 2 on Machine 1 : 874 + 186 -> 1060
Job 11 Operation 6 on Machine 3 : 874 + 8 -> 882
Job 15 Operation 3 on Machine 9 : 900 + 154 -> 1054
Job 10 Operation 2 on Machine 14 : 900 + 186 -> 1086
Job 18 Operation 4 on Machine 5 : 929 + 46 -> 975
Job 13 Operation 4 on Machine 0 : 958 + 31 -> 989
Job 12 Operation 4 on Machine 6 : 962 + 6 -> 968
Job 5 Operation 4 on Machine 13 : 962 + 190 -> 1152
Job 12 Operation 5 on Machine 2 : 968 + 31 -> 999
Job 8 Operation 4 on Machine 8 : 994 + 98 -> 1092
Job 9 Operation 6 on Machine 12 : 994 + 143 -> 1137
Job 11 Operation 7 on Machine 2 : 999 + 97 -> 1096
Job 12 Operation 6 on Machine 3 : 999 + 117 -> 1116
Job 2 Operation 1 on Machine 5 : 1014 + 62 -> 1076
Job 18 Operation 5 on Machine 10 : 1014 + 58 -> 1072
Job 6 Operation 5 on Machine 7 : 1046 + 247 -> 1293
Job 4 Operation 9 on Machine 9 : 1054 + 235 -> 1289
Job 17 Operation 3 on Machine 11 : 1060 + 41 -> 1101
Job 13 Operation 5 on Machine 14 : 1086 + 275 -> 1361
Job 2 Operation 2 on Machine 8 : 1092 + 200 -> 1292
Job 8 Operation 5 on Machine 10 : 1092 + 28 -> 1120
Job 10 Operation 3 on Machine 2 : 1096 + 18 -> 1114
Job 11 Operation 8 on Machine 5 : 1096 + 279 -> 1375
Job 15 Operation 4 on Machine 3 : 1116 + 22 -> 1138
Job 12 Operation 7 on Machine 4 : 1116 + 176 -> 1292
Job 8 Operation 6 on Machine 6 : 1120 + 115 -> 1235
Job 9 Operation 7 on Machine 11 : 1137 + 172 -> 1309
Job 3 Operation 3 on Machine 12 : 1137 + 125 -> 1262
Job 5 Operation 5 on Machine 3 : 1152 + 153 -> 1305
Job 16 Operation 2 on Machine 13 : 1152 + 138 -> 1290
Job 8 Operation 7 on Machine 1 : 1235 + 194 -> 1429
Job 10 Operation 4 on Machine 6 : 1235 + 118 -> 1353
Job 3 Operation 4 on Machine 2 : 1262 + 45 -> 1307
Job 19 Operation 2 on Machine 9 : 1289 + 23 -> 1312
Job 17 Operation 4 on Machine 13 : 1290 + 61 -> 1351
Job 16 Operation 3 on Machine 4 : 1292 + 206 -> 1498
Job 12 Operation 8 on Machine 7 : 1293 + 40 -> 1333
Job 6 Operation 6 on Machine 8 : 1293 + 244 -> 1537
Job 1 Operation 2 on Machine 3 : 1305 + 250 -> 1555
Job 9 Operation 8 on Machine 10 : 1309 + 40 -> 1349
Job 14 Operation 1 on Machine 9 : 1312 + 191 -> 1503
Job 9 Operation 9 on Machine 0 : 1349 + 49 -> 1398
Job 0 Operation 4 on Machine 10 : 1349 + 203 -> 1552
Job 17 Operation 5 on Machine 6 : 1353 + 76 -> 1429
Job 10 Operation 5 on Machine 7 : 1353 + 149 -> 1502
Job 13 Operation 6 on Machine 11 : 1361 + 205 -> 1566
Job 15 Operation 5 on Machine 14 : 1361 + 176 -> 1537
Job 12 Operation 9 on Machine 0 : 1398 + 156 -> 1554
Job 9 Operation 10 on Machine 13 : 1398 + 158 -> 1556
Job 2 Operation 3 on Machine 1 : 1429 + 212 -> 1641
Job 17 Operation 6 on Machine 12 : 1429 + 83 -> 1512
Job 18 Operation 6 on Machine 4 : 1498 + 176 -> 1674
Job 14 Operation 2 on Machine 6 : 1503 + 76 -> 1579
Job 6 Operation 7 on Machine 2 : 1537 + 59 -> 1596
Job 5 Operation 6 on Machine 8 : 1537 + 49 -> 1586
Job 17 Operation 7 on Machine 14 : 1537 + 47 -> 1584
Job 15 Operation 6 on Machine 10 : 1552 + 99 -> 1651
Job 12 Operation 10 on Machine 9 : 1554 + 32 -> 1586
Job 16 Operation 4 on Machine 3 : 1555 + 46 -> 1601
Job 1 Operation 3 on Machine 5 : 1555 + 47 -> 1602
Job 9 Operation 11 on Machine 7 : 1556 + 27 -> 1583
Job 13 Operation 7 on Machine 13 : 1566 + 55 -> 1621
Job 9 Operation 12 on Machine 6 : 1583 + 199 -> 1782
Job 8 Operation 8 on Machine 7 : 1583 + 236 -> 1819
Job 11 Operation 9 on Machine 8 : 1586 + 12 -> 1598
Job 0 Operation 5 on Machine 9 : 1586 + 26 -> 1612
Job 12 Operation 11 on Machine 14 : 1586 + 280 -> 1866
Job 17 Operation 8 on Machine 8 : 1598 + 175 -> 1773
Job 11 Operation 10 on Machine 9 : 1612 + 177 -> 1789
Job 0 Operation 6 on Machine 11 : 1612 + 120 -> 1732
Job 13 Operation 8 on Machine 5 : 1621 + 25 -> 1646
Job 7 Operation 2 on Machine 13 : 1621 + 58 -> 1679
Job 1 Operation 4 on Machine 1 : 1641 + 258 -> 1899
Job 2 Operation 4 on Machine 2 : 1641 + 269 -> 1910
Job 5 Operation 7 on Machine 5 : 1646 + 154 -> 1800
Job 13 Operation 9 on Machine 12 : 1646 + 6 -> 1652
Job 14 Operation 3 on Machine 10 : 1651 + 283 -> 1934
Job 13 Operation 10 on Machine 3 : 1652 + 43 -> 1695
Job 4 Operation 10 on Machine 12 : 1652 + 169 -> 1821
Job 7 Operation 3 on Machine 4 : 1679 + 220 -> 1899
Job 19 Operation 3 on Machine 3 : 1695 + 283 -> 1978
Job 10 Operation 6 on Machine 11 : 1732 + 237 -> 1969
Job 17 Operation 9 on Machine 0 : 1773 + 197 -> 1970
Job 13 Operation 11 on Machine 6 : 1782 + 60 -> 1842
Job 16 Operation 5 on Machine 7 : 1819 + 51 -> 1870
Job 8 Operation 9 on Machine 13 : 1819 + 108 -> 1927
Job 11 Operation 11 on Machine 6 : 1842 + 87 -> 1929
Job 13 Operation 12 on Machine 9 : 1842 + 126 -> 1968
Job 9 Operation 13 on Machine 14 : 1866 + 59 -> 1925
Job 16 Operation 6 on Machine 1 : 1899 + 88 -> 1987
Job 0 Operation 7 on Machine 2 : 1910 + 30 -> 1940
Job 2 Operation 5 on Machine 7 : 1910 + 133 -> 2043
Job 6 Operation 8 on Machine 14 : 1925 + 90 -> 2015
Job 1 Operation 5 on Machine 6 : 1929 + 65 -> 1994
Job 3 Operation 5 on Machine 10 : 1934 + 214 -> 2148
Job 14 Operation 4 on Machine 2 : 1940 + 114 -> 2054
Job 0 Operation 8 on Machine 12 : 1940 + 15 -> 1955
Job 0 Operation 9 on Machine 13 : 1955 + 40 -> 1995
Job 9 Operation 14 on Machine 9 : 1968 + 57 -> 2025
Job 7 Operation 4 on Machine 0 : 1970 + 202 -> 2172
Job 8 Operation 10 on Machine 3 : 1978 + 252 -> 2230
Job 10 Operation 7 on Machine 1 : 1987 + 170 -> 2157
Job 16 Operation 7 on Machine 5 : 1987 + 180 -> 2167
Job 18 Operation 7 on Machine 6 : 1994 + 144 -> 2138
Job 0 Operation 10 on Machine 8 : 1995 + 241 -> 2236
Job 6 Operation 9 on Machine 13 : 2015 + 1 -> 2016
Job 19 Operation 4 on Machine 14 : 2015 + 95 -> 2110
Job 1 Operation 6 on Machine 9 : 2025 + 228 -> 2253
Job 5 Operation 8 on Machine 7 : 2043 + 133 -> 2176
Job 2 Operation 6 on Machine 11 : 2043 + 251 -> 2294
Job 4 Operation 11 on Machine 2 : 2054 + 241 -> 2295
Job 14 Operation 5 on Machine 1 : 2157 + 271 -> 2428
Job 10 Operation 8 on Machine 12 : 2157 + 72 -> 2229
Job 6 Operation 10 on Machine 5 : 2167 + 96 -> 2263
Job 16 Operation 8 on Machine 14 : 2167 + 109 -> 2276
Job 15 Operation 7 on Machine 7 : 2176 + 211 -> 2387
Job 8 Operation 11 on Machine 0 : 2230 + 97 -> 2327
Job 0 Operation 11 on Machine 6 : 2236 + 106 -> 2342
Job 7 Operation 5 on Machine 8 : 2236 + 20 -> 2256
Job 7 Operation 6 on Machine 3 : 2256 + 66 -> 2322
Job 6 Operation 11 on Machine 4 : 2263 + 23 -> 2286
Job 10 Operation 9 on Machine 5 : 2263 + 105 -> 2368
Job 16 Operation 9 on Machine 8 : 2276 + 38 -> 2314
Job 1 Operation 7 on Machine 14 : 2276 + 125 -> 2401
Job 2 Operation 7 on Machine 4 : 2294 + 272 -> 2566
Job 5 Operation 9 on Machine 11 : 2294 + 117 -> 2411
Job 18 Operation 8 on Machine 2 : 2295 + 111 -> 2406
Job 16 Operation 10 on Machine 10 : 2314 + 265 -> 2579
Job 3 Operation 6 on Machine 3 : 2322 + 129 -> 2451
Job 6 Operation 12 on Machine 0 : 2327 + 103 -> 2430
Job 8 Operation 12 on Machine 9 : 2327 + 256 -> 2583
Job 10 Operation 10 on Machine 8 : 2368 + 166 -> 2534
Job 15 Operation 8 on Machine 12 : 2387 + 152 -> 2539
Job 13 Operation 13 on Machine 2 : 2406 + 81 -> 2487
Job 19 Operation 5 on Machine 11 : 2411 + 104 -> 2515
Job 7 Operation 7 on Machine 1 : 2428 + 285 -> 2713
Job 14 Operation 6 on Machine 7 : 2428 + 11 -> 2439
Job 14 Operation 7 on Machine 5 : 2439 + 257 -> 2696
Job 1 Operation 8 on Machine 7 : 2439 + 94 -> 2533
Job 18 Operation 9 on Machine 3 : 2451 + 230 -> 2681
Job 5 Operation 10 on Machine 2 : 2487 + 268 -> 2755
Job 3 Operation 7 on Machine 7 : 2533 + 93 -> 2626
Job 1 Operation 9 on Machine 11 : 2533 + 8 -> 2541
Job 4 Operation 12 on Machine 8 : 2534 + 268 -> 2802
Job 10 Operation 11 on Machine 13 : 2534 + 14 -> 2548
Job 12 Operation 12 on Machine 11 : 2541 + 243 -> 2784
Job 2 Operation 8 on Machine 12 : 2566 + 39 -> 2605
Job 16 Operation 11 on Machine 0 : 2579 + 51 -> 2630
Job 19 Operation 6 on Machine 10 : 2579 + 138 -> 2717
Job 8 Operation 13 on Machine 4 : 2583 + 6 -> 2589
Job 1 Operation 10 on Machine 4 : 2589 + 155 -> 2744
Job 2 Operation 9 on Machine 6 : 2605 + 215 -> 2820
Job 17 Operation 10 on Machine 7 : 2626 + 58 -> 2684
Job 3 Operation 8 on Machine 13 : 2626 + 66 -> 2692
Job 16 Operation 12 on Machine 12 : 2630 + 68 -> 2698
Job 11 Operation 12 on Machine 7 : 2684 + 128 -> 2812
Job 15 Operation 9 on Machine 13 : 2692 + 95 -> 2787
Job 3 Operation 9 on Machine 14 : 2692 + 173 -> 2865
Job 14 Operation 8 on Machine 3 : 2696 + 100 -> 2796
Job 8 Operation 14 on Machine 5 : 2696 + 148 -> 2844
Job 16 Operation 13 on Machine 9 : 2698 + 199 -> 2897
Job 17 Operation 11 on Machine 4 : 2744 + 65 -> 2809
Job 1 Operation 11 on Machine 12 : 2744 + 205 -> 2949
Job 5 Operation 11 on Machine 10 : 2755 + 26 -> 2781
Job 7 Operation 8 on Machine 11 : 2784 + 252 -> 3036
Job 19 Operation 7 on Machine 13 : 2787 + 117 -> 2904
Job 14 Operation 9 on Machine 0 : 2796 + 73 -> 2869
Job 17 Operation 12 on Machine 10 : 2809 + 91 -> 2900
Job 2 Operation 10 on Machine 3 : 2820 + 185 -> 3005
Job 15 Operation 10 on Machine 5 : 2844 + 106 -> 2950
Job 3 Operation 10 on Machine 4 : 2865 + 50 -> 2915
Job 16 Operation 14 on Machine 2 : 2897 + 221 -> 3118
Job 5 Operation 12 on Machine 9 : 2897 + 79 -> 2976
Job 13 Operation 14 on Machine 10 : 2900 + 251 -> 3151
Job 19 Operation 8 on Machine 7 : 2904 + 244 -> 3148
Job 11 Operation 13 on Machine 4 : 2915 + 261 -> 3176
Job 3 Operation 11 on Machine 8 : 2915 + 39 -> 2954
Job 18 Operation 10 on Machine 12 : 2949 + 128 -> 3077
Job 1 Operation 12 on Machine 13 : 2949 + 53 -> 3002
Job 3 Operation 12 on Machine 5 : 2954 + 164 -> 3118
Job 14 Operation 10 on Machine 8 : 2954 + 131 -> 3085
Job 5 Operation 13 on Machine 1 : 2976 + 190 -> 3166
Job 1 Operation 13 on Machine 0 : 3002 + 190 -> 3192
Job 4 Operation 13 on Machine 3 : 3005 + 271 -> 3276
Job 2 Operation 11 on Machine 13 : 3005 + 111 -> 3116
Job 15 Operation 11 on Machine 11 : 3036 + 86 -> 3122
Job 2 Operation 12 on Machine 9 : 3116 + 108 -> 3224
Job 18 Operation 11 on Machine 13 : 3116 + 21 -> 3137
Job 7 Operation 9 on Machine 2 : 3118 + 43 -> 3161
Job 0 Operation 12 on Machine 5 : 3118 + 276 -> 3394
Job 3 Operation 13 on Machine 6 : 3118 + 89 -> 3207
Job 15 Operation 12 on Machine 8 : 3122 + 177 -> 3299
Job 14 Operation 11 on Machine 11 : 3122 + 243 -> 3365
Job 18 Operation 12 on Machine 7 : 3148 + 227 -> 3375
Job 17 Operation 13 on Machine 2 : 3161 + 64 -> 3225
Job 7 Operation 10 on Machine 10 : 3161 + 113 -> 3274
Job 12 Operation 13 on Machine 1 : 3166 + 264 -> 3430
Job 10 Operation 12 on Machine 4 : 3176 + 217 -> 3393
Job 19 Operation 9 on Machine 0 : 3192 + 97 -> 3289
Job 5 Operation 14 on Machine 6 : 3207 + 104 -> 3311
Job 11 Operation 14 on Machine 10 : 3274 + 38 -> 3312
Job 7 Operation 11 on Machine 14 : 3274 + 100 -> 3374
Job 6 Operation 13 on Machine 3 : 3276 + 54 -> 3330
Job 2 Operation 13 on Machine 0 : 3289 + 268 -> 3557
Job 19 Operation 10 on Machine 8 : 3299 + 107 -> 3406
Job 15 Operation 13 on Machine 6 : 3311 + 228 -> 3539
Job 4 Operation 14 on Machine 10 : 3312 + 15 -> 3327
Job 3 Operation 14 on Machine 11 : 3365 + 285 -> 3650
Job 7 Operation 12 on Machine 12 : 3374 + 46 -> 3420
Job 14 Operation 12 on Machine 14 : 3374 + 17 -> 3391
Job 18 Operation 13 on Machine 14 : 3391 + 173 -> 3564
Job 10 Operation 13 on Machine 3 : 3393 + 109 -> 3502
Job 17 Operation 14 on Machine 5 : 3394 + 53 -> 3447
Job 14 Operation 13 on Machine 12 : 3420 + 128 -> 3548
Job 0 Operation 13 on Machine 1 : 3430 + 77 -> 3507
Job 12 Operation 14 on Machine 8 : 3430 + 137 -> 3567
Job 19 Operation 11 on Machine 1 : 3507 + 44 -> 3551
Job 7 Operation 13 on Machine 6 : 3539 + 105 -> 3644
Job 14 Operation 14 on Machine 13 : 3548 + 266 -> 3814
Job 6 Operation 14 on Machine 1 : 3551 + 32 -> 3583
Job 19 Operation 12 on Machine 5 : 3551 + 12 -> 3563
Job 10 Operation 14 on Machine 0 : 3557 + 272 -> 3829
Job 19 Operation 13 on Machine 4 : 3563 + 3 -> 3566
Job 0 Operation 14 on Machine 14 : 3564 + 51 -> 3615
Job 15 Operation 14 on Machine 4 : 3566 + 227 -> 3793
Job 1 Operation 14 on Machine 8 : 3567 + 116 -> 3683
Job 2 Operation 14 on Machine 14 : 3615 + 154 -> 3769
Job 19 Operation 14 on Machine 6 : 3644 + 153 -> 3797
Job 7 Operation 14 on Machine 9 : 3644 + 193 -> 3837
Job 18 Operation 14 on Machine 11 : 3650 + 169 -> 3819
Makespan: 3837.0, as it is the maximum end completion time of Operation 14
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|
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 1 duration 121 mins.
Operation 1 on Machine 2 duration 52 mins.
Operation 2 on Machine 3 duration 271 mins.
Operation 3 on Machine 4 duration 176 mins.
Operation 4 on Machine 0 duration 161 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 41 mins.
Operation 1 on Machine 0 duration 278 mins.
Operation 2 on Machine 1 duration 54 mins.
Operation 3 on Machine 3 duration 286 mins.
Operation 4 on Machine 2 duration 148 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 164 mins.
Operation 1 on Machine 3 duration 252 mins.
Operation 2 on Machine 2 duration 344 mins.
Operation 3 on Machine 4 duration 50 mins.
Operation 4 on Machine 0 duration 103 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 236 mins.
Operation 1 on Machine 2 duration 325 mins.
Operation 2 on Machine 1 duration 9 mins.
Operation 3 on Machine 0 duration 64 mins.
Operation 4 on Machine 3 duration 264 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 194 mins.
Operation 1 on Machine 1 duration 45 mins.
Operation 2 on Machine 0 duration 76 mins.
Operation 3 on Machine 2 duration 303 mins.
Operation 4 on Machine 4 duration 101 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 304 mins.
Operation 1 on Machine 2 duration 300 mins.
Operation 2 on Machine 1 duration 287 mins.
Operation 3 on Machine 4 duration 143 mins.
Operation 4 on Machine 0 duration 350 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 295 mins.
Operation 1 on Machine 2 duration 93 mins.
Operation 2 on Machine 4 duration 100 mins.
Operation 3 on Machine 0 duration 283 mins.
Operation 4 on Machine 1 duration 50 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 1 Operation 1 duration 278 mins.
Job 4 Operation 2 duration 76 mins.
Job 3 Operation 3 duration 64 mins.
Job 6 Operation 3 duration 283 mins.
Job 0 Operation 4 duration 161 mins.
Job 2 Operation 4 duration 103 mins.
Job 5 Operation 4 duration 350 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 121 mins.
Job 2 Operation 0 duration 164 mins.
Job 4 Operation 1 duration 45 mins.
Job 1 Operation 2 duration 54 mins.
Job 3 Operation 2 duration 9 mins.
Job 5 Operation 2 duration 287 mins.
Job 6 Operation 4 duration 50 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 52 mins.
Job 3 Operation 1 duration 325 mins.
Job 5 Operation 1 duration 300 mins.
Job 6 Operation 1 duration 93 mins.
Job 2 Operation 2 duration 344 mins.
Job 4 Operation 3 duration 303 mins.
Job 1 Operation 4 duration 148 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 194 mins.
Job 5 Operation 0 duration 304 mins.
Job 6 Operation 0 duration 295 mins.
Job 2 Operation 1 duration 252 mins.
Job 0 Operation 2 duration 271 mins.
Job 1 Operation 3 duration 286 mins.
Job 3 Operation 4 duration 264 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 41 mins.
Job 3 Operation 0 duration 236 mins.
Job 6 Operation 2 duration 100 mins.
Job 0 Operation 3 duration 176 mins.
Job 2 Operation 3 duration 50 mins.
Job 5 Operation 3 duration 143 mins.
Job 4 Operation 4 duration 101 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 1 : 0 + 121 -> 121
Job 5 Operation 0 on Machine 3 : 0 + 304 -> 304
Job 1 Operation 0 on Machine 4 : 0 + 41 -> 41
Job 1 Operation 1 on Machine 0 : 41 + 278 -> 319
Job 3 Operation 0 on Machine 4 : 41 + 236 -> 277
Job 0 Operation 1 on Machine 2 : 121 + 52 -> 173
Job 5 Operation 1 on Machine 2 : 304 + 300 -> 604
Job 6 Operation 0 on Machine 3 : 304 + 295 -> 599
Job 1 Operation 2 on Machine 1 : 319 + 54 -> 373
Job 2 Operation 0 on Machine 1 : 373 + 164 -> 537
Job 4 Operation 0 on Machine 3 : 599 + 194 -> 793
Job 5 Operation 2 on Machine 1 : 604 + 287 -> 891
Job 6 Operation 1 on Machine 2 : 604 + 93 -> 697
Job 3 Operation 1 on Machine 2 : 697 + 325 -> 1022
Job 6 Operation 2 on Machine 4 : 697 + 100 -> 797
Job 2 Operation 1 on Machine 3 : 793 + 252 -> 1045
Job 6 Operation 3 on Machine 0 : 797 + 283 -> 1080
Job 4 Operation 1 on Machine 1 : 891 + 45 -> 936
Job 5 Operation 3 on Machine 4 : 891 + 143 -> 1034
Job 3 Operation 2 on Machine 1 : 1022 + 9 -> 1031
Job 2 Operation 2 on Machine 2 : 1045 + 344 -> 1389
Job 0 Operation 2 on Machine 3 : 1045 + 271 -> 1316
Job 4 Operation 2 on Machine 0 : 1080 + 76 -> 1156
Job 6 Operation 4 on Machine 1 : 1080 + 50 -> 1130
Job 3 Operation 3 on Machine 0 : 1156 + 64 -> 1220
Job 5 Operation 4 on Machine 0 : 1220 + 350 -> 1570
Job 1 Operation 3 on Machine 3 : 1316 + 286 -> 1602
Job 0 Operation 3 on Machine 4 : 1316 + 176 -> 1492
Job 4 Operation 3 on Machine 2 : 1389 + 303 -> 1692
Job 2 Operation 3 on Machine 4 : 1492 + 50 -> 1542
Job 0 Operation 4 on Machine 0 : 1570 + 161 -> 1731
Job 3 Operation 4 on Machine 3 : 1602 + 264 -> 1866
Job 1 Operation 4 on Machine 2 : 1692 + 148 -> 1840
Job 4 Operation 4 on Machine 4 : 1692 + 101 -> 1793
Job 2 Operation 4 on Machine 0 : 1731 + 103 -> 1834
Makespan: 1866.0, as it is the maximum end completion time of Operation 4
| 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 198 mins.
Operation 1 on Machine 1 duration 274 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 277 mins.
Operation 1 on Machine 1 duration 278 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 0 duration 178 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 198 mins.
Job 1 Operation 0 duration 277 mins.
Job 2 Operation 1 duration 178 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 3 mins.
Job 0 Operation 1 duration 274 mins.
Job 1 Operation 1 duration 278 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 198 -> 198
Job 2 Operation 0 on Machine 1 : 0 + 3 -> 3
Job 1 Operation 0 on Machine 0 : 198 + 277 -> 475
Job 0 Operation 1 on Machine 1 : 198 + 274 -> 472
Job 2 Operation 1 on Machine 0 : 475 + 178 -> 653
Job 1 Operation 1 on Machine 1 : 475 + 278 -> 753
Makespan: 753.0, as it is the maximum end completion time of Operation 1
| null |
|
5 | 4 |
Optimize schedule for 5 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 2 duration 142 mins.
Operation 1 on Machine 3 duration 47 mins.
Operation 2 on Machine 0 duration 166 mins.
Operation 3 on Machine 1 duration 271 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 138 mins.
Operation 1 on Machine 0 duration 112 mins.
Operation 2 on Machine 3 duration 124 mins.
Operation 3 on Machine 1 duration 189 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 198 mins.
Operation 1 on Machine 0 duration 268 mins.
Operation 2 on Machine 3 duration 125 mins.
Operation 3 on Machine 2 duration 275 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 311 mins.
Operation 1 on Machine 0 duration 278 mins.
Operation 2 on Machine 2 duration 75 mins.
Operation 3 on Machine 1 duration 279 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 249 mins.
Operation 1 on Machine 3 duration 225 mins.
Operation 2 on Machine 2 duration 117 mins.
Operation 3 on Machine 1 duration 362 mins.
| null |
Optimize schedule for 5 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 4 Operation 0 duration 249 mins.
Job 1 Operation 1 duration 112 mins.
Job 2 Operation 1 duration 268 mins.
Job 3 Operation 1 duration 278 mins.
Job 0 Operation 2 duration 166 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 198 mins.
Job 0 Operation 3 duration 271 mins.
Job 1 Operation 3 duration 189 mins.
Job 3 Operation 3 duration 279 mins.
Job 4 Operation 3 duration 362 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 142 mins.
Job 1 Operation 0 duration 138 mins.
Job 3 Operation 2 duration 75 mins.
Job 4 Operation 2 duration 117 mins.
Job 2 Operation 3 duration 275 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 311 mins.
Job 0 Operation 1 duration 47 mins.
Job 4 Operation 1 duration 225 mins.
Job 1 Operation 2 duration 124 mins.
Job 2 Operation 2 duration 125 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 249 -> 249
Job 2 Operation 0 on Machine 1 : 0 + 198 -> 198
Job 0 Operation 0 on Machine 2 : 0 + 142 -> 142
Job 1 Operation 0 on Machine 2 : 142 + 138 -> 280
Job 0 Operation 1 on Machine 3 : 142 + 47 -> 189
Job 0 Operation 2 on Machine 0 : 249 + 166 -> 415
Job 4 Operation 1 on Machine 3 : 249 + 225 -> 474
Job 2 Operation 1 on Machine 0 : 415 + 268 -> 683
Job 0 Operation 3 on Machine 1 : 415 + 271 -> 686
Job 4 Operation 2 on Machine 2 : 474 + 117 -> 591
Job 3 Operation 0 on Machine 3 : 474 + 311 -> 785
Job 1 Operation 1 on Machine 0 : 683 + 112 -> 795
Job 4 Operation 3 on Machine 1 : 686 + 362 -> 1048
Job 2 Operation 2 on Machine 3 : 785 + 125 -> 910
Job 3 Operation 1 on Machine 0 : 795 + 278 -> 1073
Job 1 Operation 2 on Machine 3 : 910 + 124 -> 1034
Job 1 Operation 3 on Machine 1 : 1048 + 189 -> 1237
Job 3 Operation 2 on Machine 2 : 1073 + 75 -> 1148
Job 2 Operation 3 on Machine 2 : 1148 + 275 -> 1423
Job 3 Operation 3 on Machine 1 : 1237 + 279 -> 1516
Makespan: 1516.0, as it is the maximum end completion time of Operation 3
| 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 67 mins.
Operation 1 on Machine 1 duration 12 mins.
Operation 2 on Machine 0 duration 115 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 345 mins.
Operation 1 on Machine 1 duration 126 mins.
Operation 2 on Machine 0 duration 37 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 346 mins.
Operation 1 on Machine 0 duration 303 mins.
Operation 2 on Machine 1 duration 117 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 118 mins.
Operation 1 on Machine 0 duration 92 mins.
Operation 2 on Machine 1 duration 15 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 220 mins.
Operation 1 on Machine 0 duration 257 mins.
Operation 2 on Machine 2 duration 67 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 105 mins.
Operation 1 on Machine 2 duration 22 mins.
Operation 2 on Machine 1 duration 219 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 112 mins.
Operation 1 on Machine 2 duration 233 mins.
Operation 2 on Machine 1 duration 283 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 213 mins.
Operation 1 on Machine 2 duration 106 mins.
Operation 2 on Machine 1 duration 12 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 341 mins.
Operation 1 on Machine 1 duration 312 mins.
Operation 2 on Machine 2 duration 218 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 5 Operation 0 duration 105 mins.
Job 6 Operation 0 duration 112 mins.
Job 7 Operation 0 duration 213 mins.
Job 8 Operation 0 duration 341 mins.
Job 2 Operation 1 duration 303 mins.
Job 3 Operation 1 duration 92 mins.
Job 4 Operation 1 duration 257 mins.
Job 0 Operation 2 duration 115 mins.
Job 1 Operation 2 duration 37 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 220 mins.
Job 0 Operation 1 duration 12 mins.
Job 1 Operation 1 duration 126 mins.
Job 8 Operation 1 duration 312 mins.
Job 2 Operation 2 duration 117 mins.
Job 3 Operation 2 duration 15 mins.
Job 5 Operation 2 duration 219 mins.
Job 6 Operation 2 duration 283 mins.
Job 7 Operation 2 duration 12 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 67 mins.
Job 1 Operation 0 duration 345 mins.
Job 2 Operation 0 duration 346 mins.
Job 3 Operation 0 duration 118 mins.
Job 5 Operation 1 duration 22 mins.
Job 6 Operation 1 duration 233 mins.
Job 7 Operation 1 duration 106 mins.
Job 4 Operation 2 duration 67 mins.
Job 8 Operation 2 duration 218 mins.
| null |
Solution:
Job 7 Operation 0 on Machine 0 : 0 + 213 -> 213
Job 0 Operation 0 on Machine 2 : 0 + 67 -> 67
Job 0 Operation 1 on Machine 1 : 67 + 12 -> 79
Job 3 Operation 0 on Machine 2 : 67 + 118 -> 185
Job 4 Operation 0 on Machine 1 : 79 + 220 -> 299
Job 5 Operation 0 on Machine 0 : 213 + 105 -> 318
Job 7 Operation 1 on Machine 2 : 213 + 106 -> 319
Job 8 Operation 0 on Machine 0 : 318 + 341 -> 659
Job 7 Operation 2 on Machine 1 : 319 + 12 -> 331
Job 5 Operation 1 on Machine 2 : 319 + 22 -> 341
Job 5 Operation 2 on Machine 1 : 341 + 219 -> 560
Job 2 Operation 0 on Machine 2 : 341 + 346 -> 687
Job 6 Operation 0 on Machine 0 : 659 + 112 -> 771
Job 8 Operation 1 on Machine 1 : 659 + 312 -> 971
Job 1 Operation 0 on Machine 2 : 687 + 345 -> 1032
Job 2 Operation 1 on Machine 0 : 771 + 303 -> 1074
Job 1 Operation 1 on Machine 1 : 1032 + 126 -> 1158
Job 6 Operation 1 on Machine 2 : 1032 + 233 -> 1265
Job 0 Operation 2 on Machine 0 : 1074 + 115 -> 1189
Job 2 Operation 2 on Machine 1 : 1158 + 117 -> 1275
Job 4 Operation 1 on Machine 0 : 1189 + 257 -> 1446
Job 8 Operation 2 on Machine 2 : 1265 + 218 -> 1483
Job 6 Operation 2 on Machine 1 : 1275 + 283 -> 1558
Job 3 Operation 1 on Machine 0 : 1446 + 92 -> 1538
Job 4 Operation 2 on Machine 2 : 1483 + 67 -> 1550
Job 1 Operation 2 on Machine 0 : 1538 + 37 -> 1575
Job 3 Operation 2 on Machine 1 : 1558 + 15 -> 1573
Makespan: 1575.0, 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 137 mins.
Operation 1 on Machine 1 duration 77 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 95 mins.
Operation 1 on Machine 1 duration 122 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 111 mins.
Operation 1 on Machine 1 duration 57 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 116 mins.
Operation 1 on Machine 1 duration 94 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 137 mins.
Job 1 Operation 0 duration 95 mins.
Job 2 Operation 0 duration 111 mins.
Job 3 Operation 0 duration 116 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 77 mins.
Job 1 Operation 1 duration 122 mins.
Job 2 Operation 1 duration 57 mins.
Job 3 Operation 1 duration 94 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 95 -> 95
Job 3 Operation 0 on Machine 0 : 95 + 116 -> 211
Job 1 Operation 1 on Machine 1 : 95 + 122 -> 217
Job 0 Operation 0 on Machine 0 : 211 + 137 -> 348
Job 3 Operation 1 on Machine 1 : 217 + 94 -> 311
Job 2 Operation 0 on Machine 0 : 348 + 111 -> 459
Job 0 Operation 1 on Machine 1 : 348 + 77 -> 425
Job 2 Operation 1 on Machine 1 : 459 + 57 -> 516
Makespan: 516.0, as it is the maximum end completion time of Operation 1
| null |
|
8 | 2 |
Optimize schedule for 8 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 36 mins.
Operation 1 on Machine 0 duration 150 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 345 mins.
Operation 1 on Machine 0 duration 74 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 215 mins.
Operation 1 on Machine 0 duration 166 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 205 mins.
Operation 1 on Machine 1 duration 30 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 321 mins.
Operation 1 on Machine 0 duration 223 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 122 mins.
Operation 1 on Machine 0 duration 39 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 45 mins.
Operation 1 on Machine 1 duration 221 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 16 mins.
Operation 1 on Machine 0 duration 29 mins.
| null |
Optimize schedule for 8 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 205 mins.
Job 6 Operation 0 duration 45 mins.
Job 0 Operation 1 duration 150 mins.
Job 1 Operation 1 duration 74 mins.
Job 2 Operation 1 duration 166 mins.
Job 4 Operation 1 duration 223 mins.
Job 5 Operation 1 duration 39 mins.
Job 7 Operation 1 duration 29 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 36 mins.
Job 1 Operation 0 duration 345 mins.
Job 2 Operation 0 duration 215 mins.
Job 4 Operation 0 duration 321 mins.
Job 5 Operation 0 duration 122 mins.
Job 7 Operation 0 duration 16 mins.
Job 3 Operation 1 duration 30 mins.
Job 6 Operation 1 duration 221 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 205 -> 205
Job 7 Operation 0 on Machine 1 : 0 + 16 -> 16
Job 1 Operation 0 on Machine 1 : 16 + 345 -> 361
Job 7 Operation 1 on Machine 0 : 205 + 29 -> 234
Job 6 Operation 0 on Machine 0 : 234 + 45 -> 279
Job 1 Operation 1 on Machine 0 : 361 + 74 -> 435
Job 2 Operation 0 on Machine 1 : 361 + 215 -> 576
Job 2 Operation 1 on Machine 0 : 576 + 166 -> 742
Job 0 Operation 0 on Machine 1 : 576 + 36 -> 612
Job 4 Operation 0 on Machine 1 : 612 + 321 -> 933
Job 0 Operation 1 on Machine 0 : 742 + 150 -> 892
Job 4 Operation 1 on Machine 0 : 933 + 223 -> 1156
Job 3 Operation 1 on Machine 1 : 933 + 30 -> 963
Job 5 Operation 0 on Machine 1 : 963 + 122 -> 1085
Job 6 Operation 1 on Machine 1 : 1085 + 221 -> 1306
Job 5 Operation 1 on Machine 0 : 1156 + 39 -> 1195
Makespan: 1306.0, 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 8 duration 7 mins.
Operation 1 on Machine 2 duration 173 mins.
Operation 2 on Machine 1 duration 293 mins.
Operation 3 on Machine 5 duration 227 mins.
Operation 4 on Machine 4 duration 302 mins.
Operation 5 on Machine 0 duration 239 mins.
Operation 6 on Machine 7 duration 130 mins.
Operation 7 on Machine 3 duration 13 mins.
Operation 8 on Machine 6 duration 103 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 8 duration 58 mins.
Operation 1 on Machine 1 duration 149 mins.
Operation 2 on Machine 4 duration 263 mins.
Operation 3 on Machine 5 duration 278 mins.
Operation 4 on Machine 7 duration 88 mins.
Operation 5 on Machine 6 duration 34 mins.
Operation 6 on Machine 0 duration 238 mins.
Operation 7 on Machine 2 duration 285 mins.
Operation 8 on Machine 3 duration 80 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 8 duration 196 mins.
Operation 1 on Machine 3 duration 75 mins.
Operation 2 on Machine 1 duration 77 mins.
Operation 3 on Machine 2 duration 97 mins.
Operation 4 on Machine 6 duration 1 mins.
Operation 5 on Machine 7 duration 248 mins.
Operation 6 on Machine 4 duration 134 mins.
Operation 7 on Machine 0 duration 112 mins.
Operation 8 on Machine 5 duration 230 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 7 duration 69 mins.
Operation 1 on Machine 1 duration 207 mins.
Operation 2 on Machine 0 duration 199 mins.
Operation 3 on Machine 3 duration 291 mins.
Operation 4 on Machine 4 duration 91 mins.
Operation 5 on Machine 5 duration 103 mins.
Operation 6 on Machine 2 duration 222 mins.
Operation 7 on Machine 6 duration 143 mins.
Operation 8 on Machine 8 duration 164 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 83 mins.
Operation 1 on Machine 7 duration 7 mins.
Operation 2 on Machine 8 duration 25 mins.
Operation 3 on Machine 3 duration 197 mins.
Operation 4 on Machine 1 duration 168 mins.
Operation 5 on Machine 4 duration 240 mins.
Operation 6 on Machine 2 duration 92 mins.
Operation 7 on Machine 0 duration 193 mins.
Operation 8 on Machine 6 duration 203 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 228 mins.
Operation 1 on Machine 7 duration 298 mins.
Operation 2 on Machine 0 duration 264 mins.
Operation 3 on Machine 4 duration 153 mins.
Operation 4 on Machine 2 duration 49 mins.
Operation 5 on Machine 5 duration 43 mins.
Operation 6 on Machine 8 duration 26 mins.
Operation 7 on Machine 1 duration 285 mins.
Operation 8 on Machine 6 duration 49 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 120 mins.
Operation 1 on Machine 2 duration 180 mins.
Operation 2 on Machine 7 duration 236 mins.
Operation 3 on Machine 4 duration 36 mins.
Operation 4 on Machine 0 duration 148 mins.
Operation 5 on Machine 1 duration 199 mins.
Operation 6 on Machine 6 duration 314 mins.
Operation 7 on Machine 3 duration 291 mins.
Operation 8 on Machine 8 duration 190 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 228 mins.
Operation 1 on Machine 2 duration 121 mins.
Operation 2 on Machine 3 duration 149 mins.
Operation 3 on Machine 0 duration 48 mins.
Operation 4 on Machine 8 duration 205 mins.
Operation 5 on Machine 7 duration 56 mins.
Operation 6 on Machine 1 duration 95 mins.
Operation 7 on Machine 6 duration 124 mins.
Operation 8 on Machine 5 duration 14 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 28 mins.
Operation 1 on Machine 5 duration 5 mins.
Operation 2 on Machine 6 duration 37 mins.
Operation 3 on Machine 7 duration 180 mins.
Operation 4 on Machine 8 duration 46 mins.
Operation 5 on Machine 1 duration 117 mins.
Operation 6 on Machine 2 duration 165 mins.
Operation 7 on Machine 3 duration 263 mins.
Operation 8 on Machine 4 duration 149 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 6 duration 175 mins.
Operation 1 on Machine 2 duration 230 mins.
Operation 2 on Machine 7 duration 266 mins.
Operation 3 on Machine 1 duration 289 mins.
Operation 4 on Machine 0 duration 178 mins.
Operation 5 on Machine 3 duration 112 mins.
Operation 6 on Machine 8 duration 10 mins.
Operation 7 on Machine 4 duration 147 mins.
Operation 8 on Machine 5 duration 299 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 8 Operation 0 duration 28 mins.
Job 3 Operation 2 duration 199 mins.
Job 5 Operation 2 duration 264 mins.
Job 7 Operation 3 duration 48 mins.
Job 6 Operation 4 duration 148 mins.
Job 9 Operation 4 duration 178 mins.
Job 0 Operation 5 duration 239 mins.
Job 1 Operation 6 duration 238 mins.
Job 2 Operation 7 duration 112 mins.
Job 4 Operation 7 duration 193 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 149 mins.
Job 3 Operation 1 duration 207 mins.
Job 0 Operation 2 duration 293 mins.
Job 2 Operation 2 duration 77 mins.
Job 9 Operation 3 duration 289 mins.
Job 4 Operation 4 duration 168 mins.
Job 6 Operation 5 duration 199 mins.
Job 8 Operation 5 duration 117 mins.
Job 7 Operation 6 duration 95 mins.
Job 5 Operation 7 duration 285 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 173 mins.
Job 6 Operation 1 duration 180 mins.
Job 7 Operation 1 duration 121 mins.
Job 9 Operation 1 duration 230 mins.
Job 2 Operation 3 duration 97 mins.
Job 5 Operation 4 duration 49 mins.
Job 3 Operation 6 duration 222 mins.
Job 4 Operation 6 duration 92 mins.
Job 8 Operation 6 duration 165 mins.
Job 1 Operation 7 duration 285 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 228 mins.
Job 2 Operation 1 duration 75 mins.
Job 7 Operation 2 duration 149 mins.
Job 3 Operation 3 duration 291 mins.
Job 4 Operation 3 duration 197 mins.
Job 9 Operation 5 duration 112 mins.
Job 0 Operation 7 duration 13 mins.
Job 6 Operation 7 duration 291 mins.
Job 8 Operation 7 duration 263 mins.
Job 1 Operation 8 duration 80 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 0 duration 228 mins.
Job 1 Operation 2 duration 263 mins.
Job 5 Operation 3 duration 153 mins.
Job 6 Operation 3 duration 36 mins.
Job 0 Operation 4 duration 302 mins.
Job 3 Operation 4 duration 91 mins.
Job 4 Operation 5 duration 240 mins.
Job 2 Operation 6 duration 134 mins.
Job 9 Operation 7 duration 147 mins.
Job 8 Operation 8 duration 149 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 0 duration 83 mins.
Job 6 Operation 0 duration 120 mins.
Job 8 Operation 1 duration 5 mins.
Job 0 Operation 3 duration 227 mins.
Job 1 Operation 3 duration 278 mins.
Job 3 Operation 5 duration 103 mins.
Job 5 Operation 5 duration 43 mins.
Job 2 Operation 8 duration 230 mins.
Job 7 Operation 8 duration 14 mins.
Job 9 Operation 8 duration 299 mins.
Machine 6 is used for the following Operations:
Job 9 Operation 0 duration 175 mins.
Job 8 Operation 2 duration 37 mins.
Job 2 Operation 4 duration 1 mins.
Job 1 Operation 5 duration 34 mins.
Job 6 Operation 6 duration 314 mins.
Job 3 Operation 7 duration 143 mins.
Job 7 Operation 7 duration 124 mins.
Job 0 Operation 8 duration 103 mins.
Job 4 Operation 8 duration 203 mins.
Job 5 Operation 8 duration 49 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 0 duration 69 mins.
Job 4 Operation 1 duration 7 mins.
Job 5 Operation 1 duration 298 mins.
Job 6 Operation 2 duration 236 mins.
Job 9 Operation 2 duration 266 mins.
Job 8 Operation 3 duration 180 mins.
Job 1 Operation 4 duration 88 mins.
Job 2 Operation 5 duration 248 mins.
Job 7 Operation 5 duration 56 mins.
Job 0 Operation 6 duration 130 mins.
Machine 8 is used for the following Operations:
Job 0 Operation 0 duration 7 mins.
Job 1 Operation 0 duration 58 mins.
Job 2 Operation 0 duration 196 mins.
Job 4 Operation 2 duration 25 mins.
Job 7 Operation 4 duration 205 mins.
Job 8 Operation 4 duration 46 mins.
Job 5 Operation 6 duration 26 mins.
Job 9 Operation 6 duration 10 mins.
Job 3 Operation 8 duration 164 mins.
Job 6 Operation 8 duration 190 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 28 -> 28
Job 5 Operation 0 on Machine 3 : 0 + 228 -> 228
Job 7 Operation 0 on Machine 4 : 0 + 228 -> 228
Job 3 Operation 0 on Machine 7 : 0 + 69 -> 69
Job 1 Operation 0 on Machine 8 : 0 + 58 -> 58
Job 8 Operation 1 on Machine 5 : 28 + 5 -> 33
Job 6 Operation 0 on Machine 5 : 33 + 120 -> 153
Job 8 Operation 2 on Machine 6 : 33 + 37 -> 70
Job 1 Operation 1 on Machine 1 : 58 + 149 -> 207
Job 0 Operation 0 on Machine 8 : 58 + 7 -> 65
Job 0 Operation 1 on Machine 2 : 65 + 173 -> 238
Job 2 Operation 0 on Machine 8 : 65 + 196 -> 261
Job 9 Operation 0 on Machine 6 : 70 + 175 -> 245
Job 8 Operation 3 on Machine 7 : 70 + 180 -> 250
Job 4 Operation 0 on Machine 5 : 153 + 83 -> 236
Job 3 Operation 1 on Machine 1 : 207 + 207 -> 414
Job 1 Operation 2 on Machine 4 : 228 + 263 -> 491
Job 9 Operation 1 on Machine 2 : 245 + 230 -> 475
Job 4 Operation 1 on Machine 7 : 250 + 7 -> 257
Job 5 Operation 1 on Machine 7 : 257 + 298 -> 555
Job 4 Operation 2 on Machine 8 : 261 + 25 -> 286
Job 4 Operation 3 on Machine 3 : 286 + 197 -> 483
Job 8 Operation 4 on Machine 8 : 286 + 46 -> 332
Job 3 Operation 2 on Machine 0 : 414 + 199 -> 613
Job 8 Operation 5 on Machine 1 : 414 + 117 -> 531
Job 7 Operation 1 on Machine 2 : 475 + 121 -> 596
Job 2 Operation 1 on Machine 3 : 483 + 75 -> 558
Job 1 Operation 3 on Machine 5 : 491 + 278 -> 769
Job 4 Operation 4 on Machine 1 : 531 + 168 -> 699
Job 9 Operation 2 on Machine 7 : 555 + 266 -> 821
Job 6 Operation 1 on Machine 2 : 596 + 180 -> 776
Job 5 Operation 2 on Machine 0 : 613 + 264 -> 877
Job 3 Operation 3 on Machine 3 : 613 + 291 -> 904
Job 2 Operation 2 on Machine 1 : 699 + 77 -> 776
Job 4 Operation 5 on Machine 4 : 699 + 240 -> 939
Job 0 Operation 2 on Machine 1 : 776 + 293 -> 1069
Job 2 Operation 3 on Machine 2 : 776 + 97 -> 873
Job 1 Operation 4 on Machine 7 : 821 + 88 -> 909
Job 8 Operation 6 on Machine 2 : 873 + 165 -> 1038
Job 7 Operation 2 on Machine 3 : 904 + 149 -> 1053
Job 1 Operation 5 on Machine 6 : 909 + 34 -> 943
Job 6 Operation 2 on Machine 7 : 909 + 236 -> 1145
Job 3 Operation 4 on Machine 4 : 939 + 91 -> 1030
Job 1 Operation 6 on Machine 0 : 943 + 238 -> 1181
Job 2 Operation 4 on Machine 6 : 943 + 1 -> 944
Job 3 Operation 5 on Machine 5 : 1030 + 103 -> 1133
Job 8 Operation 7 on Machine 3 : 1053 + 263 -> 1316
Job 9 Operation 3 on Machine 1 : 1069 + 289 -> 1358
Job 3 Operation 6 on Machine 2 : 1133 + 222 -> 1355
Job 0 Operation 3 on Machine 5 : 1133 + 227 -> 1360
Job 6 Operation 3 on Machine 4 : 1145 + 36 -> 1181
Job 2 Operation 5 on Machine 7 : 1145 + 248 -> 1393
Job 6 Operation 4 on Machine 0 : 1181 + 148 -> 1329
Job 5 Operation 3 on Machine 4 : 1181 + 153 -> 1334
Job 7 Operation 3 on Machine 0 : 1329 + 48 -> 1377
Job 5 Operation 4 on Machine 2 : 1355 + 49 -> 1404
Job 3 Operation 7 on Machine 6 : 1355 + 143 -> 1498
Job 6 Operation 5 on Machine 1 : 1358 + 199 -> 1557
Job 9 Operation 4 on Machine 0 : 1377 + 178 -> 1555
Job 7 Operation 4 on Machine 8 : 1377 + 205 -> 1582
Job 2 Operation 6 on Machine 4 : 1393 + 134 -> 1527
Job 4 Operation 6 on Machine 2 : 1404 + 92 -> 1496
Job 5 Operation 5 on Machine 5 : 1404 + 43 -> 1447
Job 1 Operation 7 on Machine 2 : 1496 + 285 -> 1781
Job 0 Operation 4 on Machine 4 : 1527 + 302 -> 1829
Job 2 Operation 7 on Machine 0 : 1555 + 112 -> 1667
Job 9 Operation 5 on Machine 3 : 1555 + 112 -> 1667
Job 6 Operation 6 on Machine 6 : 1557 + 314 -> 1871
Job 7 Operation 5 on Machine 7 : 1582 + 56 -> 1638
Job 5 Operation 6 on Machine 8 : 1582 + 26 -> 1608
Job 7 Operation 6 on Machine 1 : 1638 + 95 -> 1733
Job 4 Operation 7 on Machine 0 : 1667 + 193 -> 1860
Job 2 Operation 8 on Machine 5 : 1667 + 230 -> 1897
Job 9 Operation 6 on Machine 8 : 1667 + 10 -> 1677
Job 3 Operation 8 on Machine 8 : 1677 + 164 -> 1841
Job 5 Operation 7 on Machine 1 : 1733 + 285 -> 2018
Job 9 Operation 7 on Machine 4 : 1829 + 147 -> 1976
Job 0 Operation 5 on Machine 0 : 1860 + 239 -> 2099
Job 6 Operation 7 on Machine 3 : 1871 + 291 -> 2162
Job 7 Operation 7 on Machine 6 : 1871 + 124 -> 1995
Job 8 Operation 8 on Machine 4 : 1976 + 149 -> 2125
Job 7 Operation 8 on Machine 5 : 1995 + 14 -> 2009
Job 4 Operation 8 on Machine 6 : 1995 + 203 -> 2198
Job 9 Operation 8 on Machine 5 : 2009 + 299 -> 2308
Job 0 Operation 6 on Machine 7 : 2099 + 130 -> 2229
Job 6 Operation 8 on Machine 8 : 2162 + 190 -> 2352
Job 5 Operation 8 on Machine 6 : 2198 + 49 -> 2247
Job 0 Operation 7 on Machine 3 : 2229 + 13 -> 2242
Job 1 Operation 8 on Machine 3 : 2242 + 80 -> 2322
Job 0 Operation 8 on Machine 6 : 2247 + 103 -> 2350
Makespan: 2352.0, as it is the maximum end completion time of Operation 8
| 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 118 mins.
Operation 1 on Machine 2 duration 105 mins.
Operation 2 on Machine 0 duration 281 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 127 mins.
Operation 1 on Machine 2 duration 311 mins.
Operation 2 on Machine 1 duration 216 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 308 mins.
Operation 1 on Machine 2 duration 57 mins.
Operation 2 on Machine 0 duration 91 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 12 mins.
Operation 1 on Machine 2 duration 385 mins.
Operation 2 on Machine 0 duration 291 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 346 mins.
Operation 1 on Machine 2 duration 337 mins.
Operation 2 on Machine 1 duration 109 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 359 mins.
Operation 1 on Machine 2 duration 345 mins.
Operation 2 on Machine 1 duration 258 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 1 Operation 0 duration 127 mins.
Job 4 Operation 0 duration 346 mins.
Job 5 Operation 0 duration 359 mins.
Job 0 Operation 2 duration 281 mins.
Job 2 Operation 2 duration 91 mins.
Job 3 Operation 2 duration 291 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 118 mins.
Job 2 Operation 0 duration 308 mins.
Job 3 Operation 0 duration 12 mins.
Job 1 Operation 2 duration 216 mins.
Job 4 Operation 2 duration 109 mins.
Job 5 Operation 2 duration 258 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 105 mins.
Job 1 Operation 1 duration 311 mins.
Job 2 Operation 1 duration 57 mins.
Job 3 Operation 1 duration 385 mins.
Job 4 Operation 1 duration 337 mins.
Job 5 Operation 1 duration 345 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 127 -> 127
Job 3 Operation 0 on Machine 1 : 0 + 12 -> 12
Job 0 Operation 0 on Machine 1 : 12 + 118 -> 130
Job 3 Operation 1 on Machine 2 : 12 + 385 -> 397
Job 5 Operation 0 on Machine 0 : 127 + 359 -> 486
Job 2 Operation 0 on Machine 1 : 130 + 308 -> 438
Job 1 Operation 1 on Machine 2 : 397 + 311 -> 708
Job 4 Operation 0 on Machine 0 : 486 + 346 -> 832
Job 1 Operation 2 on Machine 1 : 708 + 216 -> 924
Job 0 Operation 1 on Machine 2 : 708 + 105 -> 813
Job 5 Operation 1 on Machine 2 : 813 + 345 -> 1158
Job 3 Operation 2 on Machine 0 : 832 + 291 -> 1123
Job 0 Operation 2 on Machine 0 : 1123 + 281 -> 1404
Job 5 Operation 2 on Machine 1 : 1158 + 258 -> 1416
Job 4 Operation 1 on Machine 2 : 1158 + 337 -> 1495
Job 4 Operation 2 on Machine 1 : 1495 + 109 -> 1604
Job 2 Operation 1 on Machine 2 : 1495 + 57 -> 1552
Job 2 Operation 2 on Machine 0 : 1552 + 91 -> 1643
Makespan: 1643.0, 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 71 mins.
Operation 1 on Machine 1 duration 244 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 51 mins.
Operation 1 on Machine 1 duration 73 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 176 mins.
Operation 1 on Machine 0 duration 92 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 271 mins.
Operation 1 on Machine 0 duration 144 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 31 mins.
Operation 1 on Machine 1 duration 272 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 149 mins.
Operation 1 on Machine 1 duration 111 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 1 mins.
Operation 1 on Machine 0 duration 211 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 71 mins.
Job 1 Operation 0 duration 51 mins.
Job 4 Operation 0 duration 31 mins.
Job 5 Operation 0 duration 149 mins.
Job 2 Operation 1 duration 92 mins.
Job 3 Operation 1 duration 144 mins.
Job 6 Operation 1 duration 211 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 176 mins.
Job 3 Operation 0 duration 271 mins.
Job 6 Operation 0 duration 1 mins.
Job 0 Operation 1 duration 244 mins.
Job 1 Operation 1 duration 73 mins.
Job 4 Operation 1 duration 272 mins.
Job 5 Operation 1 duration 111 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 31 -> 31
Job 6 Operation 0 on Machine 1 : 0 + 1 -> 1
Job 2 Operation 0 on Machine 1 : 1 + 176 -> 177
Job 1 Operation 0 on Machine 0 : 31 + 51 -> 82
Job 0 Operation 0 on Machine 0 : 82 + 71 -> 153
Job 5 Operation 0 on Machine 0 : 153 + 149 -> 302
Job 1 Operation 1 on Machine 1 : 177 + 73 -> 250
Job 0 Operation 1 on Machine 1 : 250 + 244 -> 494
Job 2 Operation 1 on Machine 0 : 302 + 92 -> 394
Job 6 Operation 1 on Machine 0 : 394 + 211 -> 605
Job 5 Operation 1 on Machine 1 : 494 + 111 -> 605
Job 3 Operation 0 on Machine 1 : 605 + 271 -> 876
Job 3 Operation 1 on Machine 0 : 876 + 144 -> 1020
Job 4 Operation 1 on Machine 1 : 876 + 272 -> 1148
Makespan: 1148.0, as it is the maximum end completion time of Operation 1
| null |
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