num_jobs
int64 2
100
| num_machines
int64 2
50
| prompt_jobs_first
stringlengths 516
37.9k
| instruction
stringclasses 10
values | prompt_machines_first
stringlengths 496
43.1k
| input
stringlengths 2.57k
37.9k
⌀ | output
stringlengths 267
131k
| path
stringlengths 0
15
| matrix
stringlengths 3.65k
56.2k
⌀ |
|---|---|---|---|---|---|---|---|---|
7 | 6 |
Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 330 mins.
Operation 1 on Machine 1 duration 150 mins.
Operation 2 on Machine 0 duration 111 mins.
Operation 3 on Machine 2 duration 72 mins.
Operation 4 on Machine 5 duration 110 mins.
Operation 5 on Machine 3 duration 154 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 367 mins.
Operation 1 on Machine 0 duration 206 mins.
Operation 2 on Machine 2 duration 244 mins.
Operation 3 on Machine 5 duration 84 mins.
Operation 4 on Machine 1 duration 411 mins.
Operation 5 on Machine 3 duration 305 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 3 mins.
Operation 1 on Machine 0 duration 106 mins.
Operation 2 on Machine 1 duration 113 mins.
Operation 3 on Machine 3 duration 35 mins.
Operation 4 on Machine 2 duration 46 mins.
Operation 5 on Machine 4 duration 291 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 212 mins.
Operation 1 on Machine 0 duration 346 mins.
Operation 2 on Machine 3 duration 50 mins.
Operation 3 on Machine 4 duration 198 mins.
Operation 4 on Machine 5 duration 254 mins.
Operation 5 on Machine 1 duration 97 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 3 duration 392 mins.
Operation 2 on Machine 5 duration 165 mins.
Operation 3 on Machine 4 duration 193 mins.
Operation 4 on Machine 2 duration 37 mins.
Operation 5 on Machine 1 duration 201 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 5 mins.
Operation 1 on Machine 3 duration 325 mins.
Operation 2 on Machine 1 duration 298 mins.
Operation 3 on Machine 5 duration 125 mins.
Operation 4 on Machine 4 duration 322 mins.
Operation 5 on Machine 2 duration 339 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 172 mins.
Operation 1 on Machine 1 duration 9 mins.
Operation 2 on Machine 0 duration 305 mins.
Operation 3 on Machine 2 duration 319 mins.
Operation 4 on Machine 4 duration 56 mins.
Operation 5 on Machine 3 duration 214 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 4 Operation 0 duration 4 mins.
Job 5 Operation 0 duration 5 mins.
Job 1 Operation 1 duration 206 mins.
Job 2 Operation 1 duration 106 mins.
Job 3 Operation 1 duration 346 mins.
Job 0 Operation 2 duration 111 mins.
Job 6 Operation 2 duration 305 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 150 mins.
Job 6 Operation 1 duration 9 mins.
Job 2 Operation 2 duration 113 mins.
Job 5 Operation 2 duration 298 mins.
Job 1 Operation 4 duration 411 mins.
Job 3 Operation 5 duration 97 mins.
Job 4 Operation 5 duration 201 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 212 mins.
Job 1 Operation 2 duration 244 mins.
Job 0 Operation 3 duration 72 mins.
Job 6 Operation 3 duration 319 mins.
Job 2 Operation 4 duration 46 mins.
Job 4 Operation 4 duration 37 mins.
Job 5 Operation 5 duration 339 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 1 duration 392 mins.
Job 5 Operation 1 duration 325 mins.
Job 3 Operation 2 duration 50 mins.
Job 2 Operation 3 duration 35 mins.
Job 0 Operation 5 duration 154 mins.
Job 1 Operation 5 duration 305 mins.
Job 6 Operation 5 duration 214 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 330 mins.
Job 1 Operation 0 duration 367 mins.
Job 3 Operation 3 duration 198 mins.
Job 4 Operation 3 duration 193 mins.
Job 5 Operation 4 duration 322 mins.
Job 6 Operation 4 duration 56 mins.
Job 2 Operation 5 duration 291 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 3 mins.
Job 6 Operation 0 duration 172 mins.
Job 4 Operation 2 duration 165 mins.
Job 1 Operation 3 duration 84 mins.
Job 5 Operation 3 duration 125 mins.
Job 0 Operation 4 duration 110 mins.
Job 3 Operation 4 duration 254 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 5 -> 5
Job 3 Operation 0 on Machine 2 : 0 + 212 -> 212
Job 1 Operation 0 on Machine 4 : 0 + 367 -> 367
Job 2 Operation 0 on Machine 5 : 0 + 3 -> 3
Job 6 Operation 0 on Machine 5 : 3 + 172 -> 175
Job 4 Operation 0 on Machine 0 : 5 + 4 -> 9
Job 5 Operation 1 on Machine 3 : 5 + 325 -> 330
Job 2 Operation 1 on Machine 0 : 9 + 106 -> 115
Job 6 Operation 1 on Machine 1 : 175 + 9 -> 184
Job 6 Operation 2 on Machine 0 : 184 + 305 -> 489
Job 2 Operation 2 on Machine 1 : 184 + 113 -> 297
Job 5 Operation 2 on Machine 1 : 330 + 298 -> 628
Job 2 Operation 3 on Machine 3 : 330 + 35 -> 365
Job 2 Operation 4 on Machine 2 : 365 + 46 -> 411
Job 4 Operation 1 on Machine 3 : 365 + 392 -> 757
Job 0 Operation 0 on Machine 4 : 367 + 330 -> 697
Job 1 Operation 1 on Machine 0 : 489 + 206 -> 695
Job 6 Operation 3 on Machine 2 : 489 + 319 -> 808
Job 5 Operation 3 on Machine 5 : 628 + 125 -> 753
Job 3 Operation 1 on Machine 0 : 695 + 346 -> 1041
Job 0 Operation 1 on Machine 1 : 697 + 150 -> 847
Job 5 Operation 4 on Machine 4 : 753 + 322 -> 1075
Job 4 Operation 2 on Machine 5 : 757 + 165 -> 922
Job 1 Operation 2 on Machine 2 : 808 + 244 -> 1052
Job 0 Operation 2 on Machine 0 : 1041 + 111 -> 1152
Job 3 Operation 2 on Machine 3 : 1041 + 50 -> 1091
Job 1 Operation 3 on Machine 5 : 1052 + 84 -> 1136
Job 6 Operation 4 on Machine 4 : 1075 + 56 -> 1131
Job 6 Operation 5 on Machine 3 : 1131 + 214 -> 1345
Job 4 Operation 3 on Machine 4 : 1131 + 193 -> 1324
Job 1 Operation 4 on Machine 1 : 1136 + 411 -> 1547
Job 0 Operation 3 on Machine 2 : 1152 + 72 -> 1224
Job 0 Operation 4 on Machine 5 : 1224 + 110 -> 1334
Job 4 Operation 4 on Machine 2 : 1324 + 37 -> 1361
Job 3 Operation 3 on Machine 4 : 1324 + 198 -> 1522
Job 0 Operation 5 on Machine 3 : 1345 + 154 -> 1499
Job 5 Operation 5 on Machine 2 : 1361 + 339 -> 1700
Job 2 Operation 5 on Machine 4 : 1522 + 291 -> 1813
Job 3 Operation 4 on Machine 5 : 1522 + 254 -> 1776
Job 4 Operation 5 on Machine 1 : 1547 + 201 -> 1748
Job 1 Operation 5 on Machine 3 : 1547 + 305 -> 1852
Job 3 Operation 5 on Machine 1 : 1776 + 97 -> 1873
Makespan: 1873.0, as it is the maximum end completion time of Operation 5
| null |
|
5 | 2 |
Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 86 mins.
Operation 1 on Machine 0 duration 26 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 70 mins.
Operation 1 on Machine 1 duration 54 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 48 mins.
Operation 1 on Machine 1 duration 2 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 75 mins.
Operation 1 on Machine 1 duration 13 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 26 mins.
Operation 1 on Machine 1 duration 48 mins.
| null |
Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 70 mins.
Job 2 Operation 0 duration 48 mins.
Job 3 Operation 0 duration 75 mins.
Job 4 Operation 0 duration 26 mins.
Job 0 Operation 1 duration 26 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 86 mins.
Job 1 Operation 1 duration 54 mins.
Job 2 Operation 1 duration 2 mins.
Job 3 Operation 1 duration 13 mins.
Job 4 Operation 1 duration 48 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 26 -> 26
Job 0 Operation 0 on Machine 1 : 0 + 86 -> 86
Job 3 Operation 0 on Machine 0 : 26 + 75 -> 101
Job 1 Operation 0 on Machine 0 : 101 + 70 -> 171
Job 3 Operation 1 on Machine 1 : 101 + 13 -> 114
Job 4 Operation 1 on Machine 1 : 114 + 48 -> 162
Job 2 Operation 0 on Machine 0 : 171 + 48 -> 219
Job 1 Operation 1 on Machine 1 : 171 + 54 -> 225
Job 0 Operation 1 on Machine 0 : 219 + 26 -> 245
Job 2 Operation 1 on Machine 1 : 225 + 2 -> 227
Makespan: 245.0, 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 0 duration 86 mins.
Operation 1 on Machine 1 duration 2 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 91 mins.
Operation 1 on Machine 0 duration 35 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 96 mins.
Operation 1 on Machine 0 duration 88 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 21 mins.
Operation 1 on Machine 1 duration 96 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 13 mins.
Operation 1 on Machine 1 duration 13 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 86 mins.
Operation 1 on Machine 1 duration 86 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 41 mins.
Operation 1 on Machine 0 duration 73 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 48 mins.
Operation 1 on Machine 0 duration 51 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 0 Operation 0 duration 86 mins.
Job 3 Operation 0 duration 21 mins.
Job 4 Operation 0 duration 13 mins.
Job 5 Operation 0 duration 86 mins.
Job 1 Operation 1 duration 35 mins.
Job 2 Operation 1 duration 88 mins.
Job 6 Operation 1 duration 73 mins.
Job 7 Operation 1 duration 51 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 91 mins.
Job 2 Operation 0 duration 96 mins.
Job 6 Operation 0 duration 41 mins.
Job 7 Operation 0 duration 48 mins.
Job 0 Operation 1 duration 2 mins.
Job 3 Operation 1 duration 96 mins.
Job 4 Operation 1 duration 13 mins.
Job 5 Operation 1 duration 86 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 13 -> 13
Job 6 Operation 0 on Machine 1 : 0 + 41 -> 41
Job 3 Operation 0 on Machine 0 : 13 + 21 -> 34
Job 0 Operation 0 on Machine 0 : 34 + 86 -> 120
Job 4 Operation 1 on Machine 1 : 41 + 13 -> 54
Job 7 Operation 0 on Machine 1 : 54 + 48 -> 102
Job 1 Operation 0 on Machine 1 : 102 + 91 -> 193
Job 7 Operation 1 on Machine 0 : 120 + 51 -> 171
Job 6 Operation 1 on Machine 0 : 171 + 73 -> 244
Job 0 Operation 1 on Machine 1 : 193 + 2 -> 195
Job 2 Operation 0 on Machine 1 : 195 + 96 -> 291
Job 1 Operation 1 on Machine 0 : 244 + 35 -> 279
Job 5 Operation 0 on Machine 0 : 279 + 86 -> 365
Job 3 Operation 1 on Machine 1 : 291 + 96 -> 387
Job 2 Operation 1 on Machine 0 : 365 + 88 -> 453
Job 5 Operation 1 on Machine 1 : 387 + 86 -> 473
Makespan: 473.0, as it is the maximum end completion time of Operation 1
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 74 mins.
Operation 1 on Machine 3 duration 229 mins.
Operation 2 on Machine 4 duration 14 mins.
Operation 3 on Machine 11 duration 84 mins.
Operation 4 on Machine 2 duration 155 mins.
Operation 5 on Machine 10 duration 61 mins.
Operation 6 on Machine 6 duration 235 mins.
Operation 7 on Machine 7 duration 109 mins.
Operation 8 on Machine 9 duration 222 mins.
Operation 9 on Machine 5 duration 158 mins.
Operation 10 on Machine 1 duration 219 mins.
Operation 11 on Machine 8 duration 227 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 21 mins.
Operation 1 on Machine 2 duration 118 mins.
Operation 2 on Machine 10 duration 83 mins.
Operation 3 on Machine 9 duration 96 mins.
Operation 4 on Machine 7 duration 211 mins.
Operation 5 on Machine 5 duration 191 mins.
Operation 6 on Machine 4 duration 131 mins.
Operation 7 on Machine 3 duration 78 mins.
Operation 8 on Machine 1 duration 48 mins.
Operation 9 on Machine 8 duration 187 mins.
Operation 10 on Machine 11 duration 102 mins.
Operation 11 on Machine 0 duration 82 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 255 mins.
Operation 1 on Machine 8 duration 132 mins.
Operation 2 on Machine 7 duration 7 mins.
Operation 3 on Machine 4 duration 76 mins.
Operation 4 on Machine 9 duration 19 mins.
Operation 5 on Machine 1 duration 35 mins.
Operation 6 on Machine 0 duration 234 mins.
Operation 7 on Machine 10 duration 206 mins.
Operation 8 on Machine 11 duration 21 mins.
Operation 9 on Machine 5 duration 191 mins.
Operation 10 on Machine 6 duration 16 mins.
Operation 11 on Machine 3 duration 186 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 69 mins.
Operation 1 on Machine 5 duration 67 mins.
Operation 2 on Machine 11 duration 177 mins.
Operation 3 on Machine 7 duration 161 mins.
Operation 4 on Machine 9 duration 250 mins.
Operation 5 on Machine 2 duration 212 mins.
Operation 6 on Machine 1 duration 110 mins.
Operation 7 on Machine 4 duration 145 mins.
Operation 8 on Machine 10 duration 102 mins.
Operation 9 on Machine 8 duration 217 mins.
Operation 10 on Machine 6 duration 204 mins.
Operation 11 on Machine 0 duration 175 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 91 mins.
Operation 1 on Machine 5 duration 138 mins.
Operation 2 on Machine 4 duration 104 mins.
Operation 3 on Machine 7 duration 58 mins.
Operation 4 on Machine 0 duration 244 mins.
Operation 5 on Machine 11 duration 182 mins.
Operation 6 on Machine 2 duration 230 mins.
Operation 7 on Machine 6 duration 264 mins.
Operation 8 on Machine 8 duration 34 mins.
Operation 9 on Machine 9 duration 163 mins.
Operation 10 on Machine 10 duration 187 mins.
Operation 11 on Machine 1 duration 87 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 30 mins.
Operation 1 on Machine 7 duration 159 mins.
Operation 2 on Machine 8 duration 142 mins.
Operation 3 on Machine 9 duration 236 mins.
Operation 4 on Machine 11 duration 8 mins.
Operation 5 on Machine 6 duration 180 mins.
Operation 6 on Machine 10 duration 213 mins.
Operation 7 on Machine 1 duration 36 mins.
Operation 8 on Machine 3 duration 45 mins.
Operation 9 on Machine 5 duration 236 mins.
Operation 10 on Machine 4 duration 25 mins.
Operation 11 on Machine 2 duration 34 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 9 duration 108 mins.
Operation 1 on Machine 10 duration 49 mins.
Operation 2 on Machine 4 duration 190 mins.
Operation 3 on Machine 1 duration 198 mins.
Operation 4 on Machine 6 duration 169 mins.
Operation 5 on Machine 3 duration 203 mins.
Operation 6 on Machine 2 duration 39 mins.
Operation 7 on Machine 7 duration 133 mins.
Operation 8 on Machine 8 duration 183 mins.
Operation 9 on Machine 5 duration 12 mins.
Operation 10 on Machine 0 duration 92 mins.
Operation 11 on Machine 11 duration 156 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 207 mins.
Operation 1 on Machine 0 duration 129 mins.
Operation 2 on Machine 4 duration 23 mins.
Operation 3 on Machine 3 duration 22 mins.
Operation 4 on Machine 6 duration 18 mins.
Operation 5 on Machine 1 duration 230 mins.
Operation 6 on Machine 9 duration 195 mins.
Operation 7 on Machine 11 duration 230 mins.
Operation 8 on Machine 8 duration 198 mins.
Operation 9 on Machine 10 duration 42 mins.
Operation 10 on Machine 5 duration 168 mins.
Operation 11 on Machine 7 duration 130 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 17 mins.
Operation 1 on Machine 11 duration 54 mins.
Operation 2 on Machine 0 duration 58 mins.
Operation 3 on Machine 7 duration 42 mins.
Operation 4 on Machine 3 duration 243 mins.
Operation 5 on Machine 9 duration 18 mins.
Operation 6 on Machine 10 duration 125 mins.
Operation 7 on Machine 4 duration 150 mins.
Operation 8 on Machine 5 duration 90 mins.
Operation 9 on Machine 1 duration 198 mins.
Operation 10 on Machine 6 duration 116 mins.
Operation 11 on Machine 8 duration 28 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 8 duration 56 mins.
Operation 1 on Machine 9 duration 190 mins.
Operation 2 on Machine 1 duration 187 mins.
Operation 3 on Machine 0 duration 82 mins.
Operation 4 on Machine 4 duration 144 mins.
Operation 5 on Machine 11 duration 124 mins.
Operation 6 on Machine 3 duration 142 mins.
Operation 7 on Machine 10 duration 213 mins.
Operation 8 on Machine 7 duration 250 mins.
Operation 9 on Machine 2 duration 25 mins.
Operation 10 on Machine 6 duration 32 mins.
Operation 11 on Machine 5 duration 38 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 8 duration 186 mins.
Operation 1 on Machine 5 duration 122 mins.
Operation 2 on Machine 3 duration 194 mins.
Operation 3 on Machine 2 duration 48 mins.
Operation 4 on Machine 9 duration 11 mins.
Operation 5 on Machine 10 duration 148 mins.
Operation 6 on Machine 1 duration 109 mins.
Operation 7 on Machine 11 duration 3 mins.
Operation 8 on Machine 0 duration 62 mins.
Operation 9 on Machine 7 duration 26 mins.
Operation 10 on Machine 4 duration 191 mins.
Operation 11 on Machine 6 duration 261 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 8 duration 156 mins.
Operation 1 on Machine 5 duration 109 mins.
Operation 2 on Machine 10 duration 88 mins.
Operation 3 on Machine 0 duration 197 mins.
Operation 4 on Machine 2 duration 23 mins.
Operation 5 on Machine 1 duration 108 mins.
Operation 6 on Machine 7 duration 74 mins.
Operation 7 on Machine 3 duration 128 mins.
Operation 8 on Machine 4 duration 140 mins.
Operation 9 on Machine 6 duration 243 mins.
Operation 10 on Machine 11 duration 21 mins.
Operation 11 on Machine 9 duration 44 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 74 mins.
Job 5 Operation 0 duration 30 mins.
Job 7 Operation 1 duration 129 mins.
Job 8 Operation 2 duration 58 mins.
Job 9 Operation 3 duration 82 mins.
Job 11 Operation 3 duration 197 mins.
Job 4 Operation 4 duration 244 mins.
Job 2 Operation 6 duration 234 mins.
Job 10 Operation 8 duration 62 mins.
Job 6 Operation 10 duration 92 mins.
Job 1 Operation 11 duration 82 mins.
Job 3 Operation 11 duration 175 mins.
Machine 1 is used for the following Operations:
Job 9 Operation 2 duration 187 mins.
Job 6 Operation 3 duration 198 mins.
Job 2 Operation 5 duration 35 mins.
Job 7 Operation 5 duration 230 mins.
Job 11 Operation 5 duration 108 mins.
Job 3 Operation 6 duration 110 mins.
Job 10 Operation 6 duration 109 mins.
Job 5 Operation 7 duration 36 mins.
Job 1 Operation 8 duration 48 mins.
Job 8 Operation 9 duration 198 mins.
Job 0 Operation 10 duration 219 mins.
Job 4 Operation 11 duration 87 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 255 mins.
Job 7 Operation 0 duration 207 mins.
Job 8 Operation 0 duration 17 mins.
Job 1 Operation 1 duration 118 mins.
Job 10 Operation 3 duration 48 mins.
Job 0 Operation 4 duration 155 mins.
Job 11 Operation 4 duration 23 mins.
Job 3 Operation 5 duration 212 mins.
Job 4 Operation 6 duration 230 mins.
Job 6 Operation 6 duration 39 mins.
Job 9 Operation 9 duration 25 mins.
Job 5 Operation 11 duration 34 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 69 mins.
Job 4 Operation 0 duration 91 mins.
Job 0 Operation 1 duration 229 mins.
Job 10 Operation 2 duration 194 mins.
Job 7 Operation 3 duration 22 mins.
Job 8 Operation 4 duration 243 mins.
Job 6 Operation 5 duration 203 mins.
Job 9 Operation 6 duration 142 mins.
Job 1 Operation 7 duration 78 mins.
Job 11 Operation 7 duration 128 mins.
Job 5 Operation 8 duration 45 mins.
Job 2 Operation 11 duration 186 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 2 duration 14 mins.
Job 4 Operation 2 duration 104 mins.
Job 6 Operation 2 duration 190 mins.
Job 7 Operation 2 duration 23 mins.
Job 2 Operation 3 duration 76 mins.
Job 9 Operation 4 duration 144 mins.
Job 1 Operation 6 duration 131 mins.
Job 3 Operation 7 duration 145 mins.
Job 8 Operation 7 duration 150 mins.
Job 11 Operation 8 duration 140 mins.
Job 5 Operation 10 duration 25 mins.
Job 10 Operation 10 duration 191 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 1 duration 67 mins.
Job 4 Operation 1 duration 138 mins.
Job 10 Operation 1 duration 122 mins.
Job 11 Operation 1 duration 109 mins.
Job 1 Operation 5 duration 191 mins.
Job 8 Operation 8 duration 90 mins.
Job 0 Operation 9 duration 158 mins.
Job 2 Operation 9 duration 191 mins.
Job 5 Operation 9 duration 236 mins.
Job 6 Operation 9 duration 12 mins.
Job 7 Operation 10 duration 168 mins.
Job 9 Operation 11 duration 38 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 21 mins.
Job 6 Operation 4 duration 169 mins.
Job 7 Operation 4 duration 18 mins.
Job 5 Operation 5 duration 180 mins.
Job 0 Operation 6 duration 235 mins.
Job 4 Operation 7 duration 264 mins.
Job 11 Operation 9 duration 243 mins.
Job 2 Operation 10 duration 16 mins.
Job 3 Operation 10 duration 204 mins.
Job 8 Operation 10 duration 116 mins.
Job 9 Operation 10 duration 32 mins.
Job 10 Operation 11 duration 261 mins.
Machine 7 is used for the following Operations:
Job 5 Operation 1 duration 159 mins.
Job 2 Operation 2 duration 7 mins.
Job 3 Operation 3 duration 161 mins.
Job 4 Operation 3 duration 58 mins.
Job 8 Operation 3 duration 42 mins.
Job 1 Operation 4 duration 211 mins.
Job 11 Operation 6 duration 74 mins.
Job 0 Operation 7 duration 109 mins.
Job 6 Operation 7 duration 133 mins.
Job 9 Operation 8 duration 250 mins.
Job 10 Operation 9 duration 26 mins.
Job 7 Operation 11 duration 130 mins.
Machine 8 is used for the following Operations:
Job 9 Operation 0 duration 56 mins.
Job 10 Operation 0 duration 186 mins.
Job 11 Operation 0 duration 156 mins.
Job 2 Operation 1 duration 132 mins.
Job 5 Operation 2 duration 142 mins.
Job 4 Operation 8 duration 34 mins.
Job 6 Operation 8 duration 183 mins.
Job 7 Operation 8 duration 198 mins.
Job 1 Operation 9 duration 187 mins.
Job 3 Operation 9 duration 217 mins.
Job 0 Operation 11 duration 227 mins.
Job 8 Operation 11 duration 28 mins.
Machine 9 is used for the following Operations:
Job 6 Operation 0 duration 108 mins.
Job 9 Operation 1 duration 190 mins.
Job 1 Operation 3 duration 96 mins.
Job 5 Operation 3 duration 236 mins.
Job 2 Operation 4 duration 19 mins.
Job 3 Operation 4 duration 250 mins.
Job 10 Operation 4 duration 11 mins.
Job 8 Operation 5 duration 18 mins.
Job 7 Operation 6 duration 195 mins.
Job 0 Operation 8 duration 222 mins.
Job 4 Operation 9 duration 163 mins.
Job 11 Operation 11 duration 44 mins.
Machine 10 is used for the following Operations:
Job 6 Operation 1 duration 49 mins.
Job 1 Operation 2 duration 83 mins.
Job 11 Operation 2 duration 88 mins.
Job 0 Operation 5 duration 61 mins.
Job 10 Operation 5 duration 148 mins.
Job 5 Operation 6 duration 213 mins.
Job 8 Operation 6 duration 125 mins.
Job 2 Operation 7 duration 206 mins.
Job 9 Operation 7 duration 213 mins.
Job 3 Operation 8 duration 102 mins.
Job 7 Operation 9 duration 42 mins.
Job 4 Operation 10 duration 187 mins.
Machine 11 is used for the following Operations:
Job 8 Operation 1 duration 54 mins.
Job 3 Operation 2 duration 177 mins.
Job 0 Operation 3 duration 84 mins.
Job 5 Operation 4 duration 8 mins.
Job 4 Operation 5 duration 182 mins.
Job 9 Operation 5 duration 124 mins.
Job 7 Operation 7 duration 230 mins.
Job 10 Operation 7 duration 3 mins.
Job 2 Operation 8 duration 21 mins.
Job 1 Operation 10 duration 102 mins.
Job 11 Operation 10 duration 21 mins.
Job 6 Operation 11 duration 156 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 30 -> 30
Job 8 Operation 0 on Machine 2 : 0 + 17 -> 17
Job 3 Operation 0 on Machine 3 : 0 + 69 -> 69
Job 1 Operation 0 on Machine 6 : 0 + 21 -> 21
Job 9 Operation 0 on Machine 8 : 0 + 56 -> 56
Job 7 Operation 0 on Machine 2 : 17 + 207 -> 224
Job 8 Operation 1 on Machine 11 : 17 + 54 -> 71
Job 0 Operation 0 on Machine 0 : 30 + 74 -> 104
Job 5 Operation 1 on Machine 7 : 30 + 159 -> 189
Job 11 Operation 0 on Machine 8 : 56 + 156 -> 212
Job 9 Operation 1 on Machine 9 : 56 + 190 -> 246
Job 4 Operation 0 on Machine 3 : 69 + 91 -> 160
Job 3 Operation 1 on Machine 5 : 69 + 67 -> 136
Job 8 Operation 2 on Machine 0 : 104 + 58 -> 162
Job 3 Operation 2 on Machine 11 : 136 + 177 -> 313
Job 0 Operation 1 on Machine 3 : 160 + 229 -> 389
Job 8 Operation 3 on Machine 7 : 189 + 42 -> 231
Job 11 Operation 1 on Machine 5 : 212 + 109 -> 321
Job 5 Operation 2 on Machine 8 : 212 + 142 -> 354
Job 7 Operation 1 on Machine 0 : 224 + 129 -> 353
Job 2 Operation 0 on Machine 2 : 224 + 255 -> 479
Job 9 Operation 2 on Machine 1 : 246 + 187 -> 433
Job 6 Operation 0 on Machine 9 : 246 + 108 -> 354
Job 3 Operation 3 on Machine 7 : 313 + 161 -> 474
Job 4 Operation 1 on Machine 5 : 321 + 138 -> 459
Job 11 Operation 2 on Machine 10 : 321 + 88 -> 409
Job 7 Operation 2 on Machine 4 : 353 + 23 -> 376
Job 10 Operation 0 on Machine 8 : 354 + 186 -> 540
Job 5 Operation 3 on Machine 9 : 354 + 236 -> 590
Job 7 Operation 3 on Machine 3 : 389 + 22 -> 411
Job 0 Operation 2 on Machine 4 : 389 + 14 -> 403
Job 0 Operation 3 on Machine 11 : 403 + 84 -> 487
Job 11 Operation 3 on Machine 0 : 409 + 197 -> 606
Job 6 Operation 1 on Machine 10 : 409 + 49 -> 458
Job 8 Operation 4 on Machine 3 : 411 + 243 -> 654
Job 7 Operation 4 on Machine 6 : 411 + 18 -> 429
Job 7 Operation 5 on Machine 1 : 433 + 230 -> 663
Job 4 Operation 2 on Machine 4 : 459 + 104 -> 563
Job 0 Operation 4 on Machine 2 : 487 + 155 -> 642
Job 10 Operation 1 on Machine 5 : 540 + 122 -> 662
Job 2 Operation 1 on Machine 8 : 540 + 132 -> 672
Job 6 Operation 2 on Machine 4 : 563 + 190 -> 753
Job 4 Operation 3 on Machine 7 : 563 + 58 -> 621
Job 3 Operation 4 on Machine 9 : 590 + 250 -> 840
Job 5 Operation 4 on Machine 11 : 590 + 8 -> 598
Job 5 Operation 5 on Machine 6 : 598 + 180 -> 778
Job 4 Operation 4 on Machine 0 : 621 + 244 -> 865
Job 11 Operation 4 on Machine 2 : 642 + 23 -> 665
Job 0 Operation 5 on Machine 10 : 642 + 61 -> 703
Job 10 Operation 2 on Machine 3 : 662 + 194 -> 856
Job 11 Operation 5 on Machine 1 : 665 + 108 -> 773
Job 1 Operation 1 on Machine 2 : 665 + 118 -> 783
Job 2 Operation 2 on Machine 7 : 672 + 7 -> 679
Job 2 Operation 3 on Machine 4 : 753 + 76 -> 829
Job 6 Operation 3 on Machine 1 : 773 + 198 -> 971
Job 11 Operation 6 on Machine 7 : 773 + 74 -> 847
Job 0 Operation 6 on Machine 6 : 778 + 235 -> 1013
Job 5 Operation 6 on Machine 10 : 778 + 213 -> 991
Job 3 Operation 5 on Machine 2 : 840 + 212 -> 1052
Job 8 Operation 5 on Machine 9 : 840 + 18 -> 858
Job 11 Operation 7 on Machine 3 : 856 + 128 -> 984
Job 2 Operation 4 on Machine 9 : 858 + 19 -> 877
Job 9 Operation 3 on Machine 0 : 865 + 82 -> 947
Job 4 Operation 5 on Machine 11 : 865 + 182 -> 1047
Job 7 Operation 6 on Machine 9 : 877 + 195 -> 1072
Job 2 Operation 5 on Machine 1 : 971 + 35 -> 1006
Job 11 Operation 8 on Machine 4 : 984 + 140 -> 1124
Job 1 Operation 2 on Machine 10 : 991 + 83 -> 1074
Job 2 Operation 6 on Machine 0 : 1006 + 234 -> 1240
Job 5 Operation 7 on Machine 1 : 1006 + 36 -> 1042
Job 6 Operation 4 on Machine 6 : 1013 + 169 -> 1182
Job 0 Operation 7 on Machine 7 : 1013 + 109 -> 1122
Job 5 Operation 8 on Machine 3 : 1042 + 45 -> 1087
Job 3 Operation 6 on Machine 1 : 1052 + 110 -> 1162
Job 10 Operation 3 on Machine 2 : 1052 + 48 -> 1100
Job 7 Operation 7 on Machine 11 : 1072 + 230 -> 1302
Job 1 Operation 3 on Machine 9 : 1074 + 96 -> 1170
Job 8 Operation 6 on Machine 10 : 1074 + 125 -> 1199
Job 5 Operation 9 on Machine 5 : 1087 + 236 -> 1323
Job 4 Operation 6 on Machine 2 : 1100 + 230 -> 1330
Job 3 Operation 7 on Machine 4 : 1162 + 145 -> 1307
Job 1 Operation 4 on Machine 7 : 1170 + 211 -> 1381
Job 10 Operation 4 on Machine 9 : 1170 + 11 -> 1181
Job 0 Operation 8 on Machine 9 : 1181 + 222 -> 1403
Job 6 Operation 5 on Machine 3 : 1182 + 203 -> 1385
Job 11 Operation 9 on Machine 6 : 1182 + 243 -> 1425
Job 10 Operation 5 on Machine 10 : 1199 + 148 -> 1347
Job 7 Operation 8 on Machine 8 : 1302 + 198 -> 1500
Job 9 Operation 4 on Machine 4 : 1307 + 144 -> 1451
Job 10 Operation 6 on Machine 1 : 1347 + 109 -> 1456
Job 3 Operation 8 on Machine 10 : 1347 + 102 -> 1449
Job 1 Operation 5 on Machine 5 : 1381 + 191 -> 1572
Job 6 Operation 6 on Machine 2 : 1385 + 39 -> 1424
Job 6 Operation 7 on Machine 7 : 1424 + 133 -> 1557
Job 4 Operation 7 on Machine 6 : 1425 + 264 -> 1689
Job 2 Operation 7 on Machine 10 : 1449 + 206 -> 1655
Job 8 Operation 7 on Machine 4 : 1451 + 150 -> 1601
Job 9 Operation 5 on Machine 11 : 1451 + 124 -> 1575
Job 3 Operation 9 on Machine 8 : 1500 + 217 -> 1717
Job 9 Operation 6 on Machine 3 : 1575 + 142 -> 1717
Job 10 Operation 7 on Machine 11 : 1575 + 3 -> 1578
Job 10 Operation 8 on Machine 0 : 1578 + 62 -> 1640
Job 1 Operation 6 on Machine 4 : 1601 + 131 -> 1732
Job 8 Operation 8 on Machine 5 : 1601 + 90 -> 1691
Job 10 Operation 9 on Machine 7 : 1640 + 26 -> 1666
Job 2 Operation 8 on Machine 11 : 1655 + 21 -> 1676
Job 11 Operation 10 on Machine 11 : 1676 + 21 -> 1697
Job 8 Operation 9 on Machine 1 : 1691 + 198 -> 1889
Job 0 Operation 9 on Machine 5 : 1691 + 158 -> 1849
Job 11 Operation 11 on Machine 9 : 1697 + 44 -> 1741
Job 3 Operation 10 on Machine 6 : 1717 + 204 -> 1921
Job 6 Operation 8 on Machine 8 : 1717 + 183 -> 1900
Job 9 Operation 7 on Machine 10 : 1717 + 213 -> 1930
Job 1 Operation 7 on Machine 3 : 1732 + 78 -> 1810
Job 10 Operation 10 on Machine 4 : 1732 + 191 -> 1923
Job 2 Operation 9 on Machine 5 : 1849 + 191 -> 2040
Job 1 Operation 8 on Machine 1 : 1889 + 48 -> 1937
Job 4 Operation 8 on Machine 8 : 1900 + 34 -> 1934
Job 3 Operation 11 on Machine 0 : 1921 + 175 -> 2096
Job 8 Operation 10 on Machine 6 : 1921 + 116 -> 2037
Job 5 Operation 10 on Machine 4 : 1923 + 25 -> 1948
Job 9 Operation 8 on Machine 7 : 1930 + 250 -> 2180
Job 7 Operation 9 on Machine 10 : 1930 + 42 -> 1972
Job 4 Operation 9 on Machine 9 : 1934 + 163 -> 2097
Job 0 Operation 10 on Machine 1 : 1937 + 219 -> 2156
Job 1 Operation 9 on Machine 8 : 1937 + 187 -> 2124
Job 6 Operation 9 on Machine 5 : 2040 + 12 -> 2052
Job 2 Operation 10 on Machine 6 : 2040 + 16 -> 2056
Job 7 Operation 10 on Machine 5 : 2052 + 168 -> 2220
Job 2 Operation 11 on Machine 3 : 2056 + 186 -> 2242
Job 10 Operation 11 on Machine 6 : 2056 + 261 -> 2317
Job 6 Operation 10 on Machine 0 : 2096 + 92 -> 2188
Job 4 Operation 10 on Machine 10 : 2097 + 187 -> 2284
Job 8 Operation 11 on Machine 8 : 2124 + 28 -> 2152
Job 1 Operation 10 on Machine 11 : 2124 + 102 -> 2226
Job 0 Operation 11 on Machine 8 : 2156 + 227 -> 2383
Job 9 Operation 9 on Machine 2 : 2180 + 25 -> 2205
Job 5 Operation 11 on Machine 2 : 2205 + 34 -> 2239
Job 7 Operation 11 on Machine 7 : 2220 + 130 -> 2350
Job 1 Operation 11 on Machine 0 : 2226 + 82 -> 2308
Job 6 Operation 11 on Machine 11 : 2226 + 156 -> 2382
Job 4 Operation 11 on Machine 1 : 2284 + 87 -> 2371
Job 9 Operation 10 on Machine 6 : 2317 + 32 -> 2349
Job 9 Operation 11 on Machine 5 : 2349 + 38 -> 2387
Makespan: 2387.0, as it is the maximum end completion time of Operation 11
| null |
|
10 | 2 |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 77 mins.
Operation 1 on Machine 0 duration 6 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 20 mins.
Operation 1 on Machine 0 duration 122 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 169 mins.
Operation 1 on Machine 1 duration 135 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 9 mins.
Operation 1 on Machine 0 duration 54 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 99 mins.
Operation 1 on Machine 0 duration 188 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 154 mins.
Operation 1 on Machine 1 duration 279 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 51 mins.
Operation 1 on Machine 1 duration 111 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 207 mins.
Operation 1 on Machine 1 duration 255 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 227 mins.
Operation 1 on Machine 1 duration 117 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 45 mins.
Operation 1 on Machine 1 duration 278 mins.
| null |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 169 mins.
Job 5 Operation 0 duration 154 mins.
Job 6 Operation 0 duration 51 mins.
Job 7 Operation 0 duration 207 mins.
Job 8 Operation 0 duration 227 mins.
Job 9 Operation 0 duration 45 mins.
Job 0 Operation 1 duration 6 mins.
Job 1 Operation 1 duration 122 mins.
Job 3 Operation 1 duration 54 mins.
Job 4 Operation 1 duration 188 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 77 mins.
Job 1 Operation 0 duration 20 mins.
Job 3 Operation 0 duration 9 mins.
Job 4 Operation 0 duration 99 mins.
Job 2 Operation 1 duration 135 mins.
Job 5 Operation 1 duration 279 mins.
Job 6 Operation 1 duration 111 mins.
Job 7 Operation 1 duration 255 mins.
Job 8 Operation 1 duration 117 mins.
Job 9 Operation 1 duration 278 mins.
| null |
Solution:
Job 9 Operation 0 on Machine 0 : 0 + 45 -> 45
Job 3 Operation 0 on Machine 1 : 0 + 9 -> 9
Job 1 Operation 0 on Machine 1 : 9 + 20 -> 29
Job 0 Operation 0 on Machine 1 : 29 + 77 -> 106
Job 6 Operation 0 on Machine 0 : 45 + 51 -> 96
Job 3 Operation 1 on Machine 0 : 96 + 54 -> 150
Job 4 Operation 0 on Machine 1 : 106 + 99 -> 205
Job 0 Operation 1 on Machine 0 : 150 + 6 -> 156
Job 1 Operation 1 on Machine 0 : 156 + 122 -> 278
Job 6 Operation 1 on Machine 1 : 205 + 111 -> 316
Job 5 Operation 0 on Machine 0 : 278 + 154 -> 432
Job 9 Operation 1 on Machine 1 : 316 + 278 -> 594
Job 2 Operation 0 on Machine 0 : 432 + 169 -> 601
Job 5 Operation 1 on Machine 1 : 594 + 279 -> 873
Job 4 Operation 1 on Machine 0 : 601 + 188 -> 789
Job 7 Operation 0 on Machine 0 : 789 + 207 -> 996
Job 2 Operation 1 on Machine 1 : 873 + 135 -> 1008
Job 8 Operation 0 on Machine 0 : 996 + 227 -> 1223
Job 7 Operation 1 on Machine 1 : 1008 + 255 -> 1263
Job 8 Operation 1 on Machine 1 : 1263 + 117 -> 1380
Makespan: 1380.0, 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 1 duration 12 mins.
Operation 1 on Machine 14 duration 2 mins.
Operation 2 on Machine 10 duration 3 mins.
Operation 3 on Machine 2 duration 18 mins.
Operation 4 on Machine 9 duration 16 mins.
Operation 5 on Machine 0 duration 16 mins.
Operation 6 on Machine 4 duration 16 mins.
Operation 7 on Machine 3 duration 2 mins.
Operation 8 on Machine 13 duration 18 mins.
Operation 9 on Machine 6 duration 14 mins.
Operation 10 on Machine 8 duration 13 mins.
Operation 11 on Machine 7 duration 6 mins.
Operation 12 on Machine 5 duration 15 mins.
Operation 13 on Machine 12 duration 17 mins.
Operation 14 on Machine 11 duration 10 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 9 duration 16 mins.
Operation 1 on Machine 10 duration 6 mins.
Operation 2 on Machine 2 duration 17 mins.
Operation 3 on Machine 7 duration 10 mins.
Operation 4 on Machine 11 duration 10 mins.
Operation 5 on Machine 0 duration 3 mins.
Operation 6 on Machine 6 duration 9 mins.
Operation 7 on Machine 14 duration 12 mins.
Operation 8 on Machine 5 duration 6 mins.
Operation 9 on Machine 4 duration 17 mins.
Operation 10 on Machine 8 duration 1 mins.
Operation 11 on Machine 1 duration 15 mins.
Operation 12 on Machine 12 duration 3 mins.
Operation 13 on Machine 13 duration 14 mins.
Operation 14 on Machine 3 duration 17 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 7 duration 14 mins.
Operation 1 on Machine 4 duration 11 mins.
Operation 2 on Machine 9 duration 2 mins.
Operation 3 on Machine 8 duration 17 mins.
Operation 4 on Machine 13 duration 6 mins.
Operation 5 on Machine 2 duration 17 mins.
Operation 6 on Machine 1 duration 12 mins.
Operation 7 on Machine 6 duration 3 mins.
Operation 8 on Machine 10 duration 3 mins.
Operation 9 on Machine 3 duration 8 mins.
Operation 10 on Machine 11 duration 3 mins.
Operation 11 on Machine 14 duration 9 mins.
Operation 12 on Machine 12 duration 9 mins.
Operation 13 on Machine 5 duration 18 mins.
Operation 14 on Machine 0 duration 3 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 12 duration 7 mins.
Operation 1 on Machine 8 duration 3 mins.
Operation 2 on Machine 2 duration 3 mins.
Operation 3 on Machine 3 duration 13 mins.
Operation 4 on Machine 6 duration 11 mins.
Operation 5 on Machine 9 duration 4 mins.
Operation 6 on Machine 1 duration 16 mins.
Operation 7 on Machine 14 duration 16 mins.
Operation 8 on Machine 7 duration 5 mins.
Operation 9 on Machine 5 duration 2 mins.
Operation 10 on Machine 10 duration 18 mins.
Operation 11 on Machine 0 duration 17 mins.
Operation 12 on Machine 11 duration 16 mins.
Operation 13 on Machine 4 duration 12 mins.
Operation 14 on Machine 13 duration 1 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 14 duration 15 mins.
Operation 1 on Machine 1 duration 6 mins.
Operation 2 on Machine 6 duration 11 mins.
Operation 3 on Machine 5 duration 11 mins.
Operation 4 on Machine 12 duration 7 mins.
Operation 5 on Machine 13 duration 11 mins.
Operation 6 on Machine 4 duration 8 mins.
Operation 7 on Machine 11 duration 15 mins.
Operation 8 on Machine 0 duration 8 mins.
Operation 9 on Machine 3 duration 15 mins.
Operation 10 on Machine 2 duration 13 mins.
Operation 11 on Machine 10 duration 11 mins.
Operation 12 on Machine 8 duration 9 mins.
Operation 13 on Machine 9 duration 10 mins.
Operation 14 on Machine 7 duration 14 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 14 duration 9 mins.
Operation 1 on Machine 11 duration 11 mins.
Operation 2 on Machine 7 duration 5 mins.
Operation 3 on Machine 6 duration 14 mins.
Operation 4 on Machine 5 duration 17 mins.
Operation 5 on Machine 1 duration 2 mins.
Operation 6 on Machine 2 duration 2 mins.
Operation 7 on Machine 9 duration 14 mins.
Operation 8 on Machine 4 duration 10 mins.
Operation 9 on Machine 13 duration 2 mins.
Operation 10 on Machine 8 duration 6 mins.
Operation 11 on Machine 10 duration 5 mins.
Operation 12 on Machine 3 duration 18 mins.
Operation 13 on Machine 0 duration 5 mins.
Operation 14 on Machine 12 duration 14 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 15 mins.
Operation 1 on Machine 6 duration 11 mins.
Operation 2 on Machine 12 duration 10 mins.
Operation 3 on Machine 9 duration 10 mins.
Operation 4 on Machine 3 duration 10 mins.
Operation 5 on Machine 4 duration 7 mins.
Operation 6 on Machine 14 duration 4 mins.
Operation 7 on Machine 11 duration 13 mins.
Operation 8 on Machine 13 duration 18 mins.
Operation 9 on Machine 7 duration 8 mins.
Operation 10 on Machine 10 duration 4 mins.
Operation 11 on Machine 8 duration 13 mins.
Operation 12 on Machine 2 duration 9 mins.
Operation 13 on Machine 0 duration 3 mins.
Operation 14 on Machine 1 duration 7 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 6 mins.
Operation 1 on Machine 3 duration 10 mins.
Operation 2 on Machine 8 duration 15 mins.
Operation 3 on Machine 10 duration 8 mins.
Operation 4 on Machine 6 duration 4 mins.
Operation 5 on Machine 5 duration 15 mins.
Operation 6 on Machine 4 duration 10 mins.
Operation 7 on Machine 12 duration 3 mins.
Operation 8 on Machine 9 duration 18 mins.
Operation 9 on Machine 0 duration 15 mins.
Operation 10 on Machine 14 duration 18 mins.
Operation 11 on Machine 13 duration 16 mins.
Operation 12 on Machine 7 duration 1 mins.
Operation 13 on Machine 1 duration 2 mins.
Operation 14 on Machine 11 duration 6 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 6 mins.
Operation 1 on Machine 2 duration 14 mins.
Operation 2 on Machine 4 duration 3 mins.
Operation 3 on Machine 12 duration 7 mins.
Operation 4 on Machine 9 duration 14 mins.
Operation 5 on Machine 11 duration 6 mins.
Operation 6 on Machine 7 duration 12 mins.
Operation 7 on Machine 6 duration 16 mins.
Operation 8 on Machine 10 duration 6 mins.
Operation 9 on Machine 5 duration 17 mins.
Operation 10 on Machine 13 duration 16 mins.
Operation 11 on Machine 3 duration 14 mins.
Operation 12 on Machine 8 duration 11 mins.
Operation 13 on Machine 1 duration 5 mins.
Operation 14 on Machine 14 duration 11 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 10 duration 18 mins.
Operation 1 on Machine 2 duration 6 mins.
Operation 2 on Machine 14 duration 6 mins.
Operation 3 on Machine 7 duration 1 mins.
Operation 4 on Machine 13 duration 5 mins.
Operation 5 on Machine 1 duration 6 mins.
Operation 6 on Machine 6 duration 4 mins.
Operation 7 on Machine 5 duration 17 mins.
Operation 8 on Machine 4 duration 17 mins.
Operation 9 on Machine 8 duration 1 mins.
Operation 10 on Machine 0 duration 11 mins.
Operation 11 on Machine 9 duration 17 mins.
Operation 12 on Machine 12 duration 15 mins.
Operation 13 on Machine 11 duration 4 mins.
Operation 14 on Machine 3 duration 6 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 10 duration 3 mins.
Operation 1 on Machine 12 duration 11 mins.
Operation 2 on Machine 8 duration 3 mins.
Operation 3 on Machine 5 duration 11 mins.
Operation 4 on Machine 11 duration 15 mins.
Operation 5 on Machine 2 duration 7 mins.
Operation 6 on Machine 3 duration 4 mins.
Operation 7 on Machine 6 duration 14 mins.
Operation 8 on Machine 0 duration 17 mins.
Operation 9 on Machine 4 duration 12 mins.
Operation 10 on Machine 14 duration 15 mins.
Operation 11 on Machine 1 duration 5 mins.
Operation 12 on Machine 13 duration 8 mins.
Operation 13 on Machine 7 duration 9 mins.
Operation 14 on Machine 9 duration 9 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 5 duration 3 mins.
Operation 2 on Machine 4 duration 15 mins.
Operation 3 on Machine 1 duration 14 mins.
Operation 4 on Machine 2 duration 13 mins.
Operation 5 on Machine 3 duration 7 mins.
Operation 6 on Machine 11 duration 7 mins.
Operation 7 on Machine 10 duration 5 mins.
Operation 8 on Machine 6 duration 7 mins.
Operation 9 on Machine 7 duration 12 mins.
Operation 10 on Machine 13 duration 12 mins.
Operation 11 on Machine 9 duration 18 mins.
Operation 12 on Machine 14 duration 9 mins.
Operation 13 on Machine 12 duration 5 mins.
Operation 14 on Machine 8 duration 15 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 4 duration 14 mins.
Operation 1 on Machine 0 duration 15 mins.
Operation 2 on Machine 14 duration 11 mins.
Operation 3 on Machine 7 duration 15 mins.
Operation 4 on Machine 2 duration 12 mins.
Operation 5 on Machine 10 duration 7 mins.
Operation 6 on Machine 11 duration 4 mins.
Operation 7 on Machine 1 duration 12 mins.
Operation 8 on Machine 6 duration 14 mins.
Operation 9 on Machine 13 duration 5 mins.
Operation 10 on Machine 9 duration 15 mins.
Operation 11 on Machine 5 duration 14 mins.
Operation 12 on Machine 8 duration 2 mins.
Operation 13 on Machine 12 duration 4 mins.
Operation 14 on Machine 3 duration 4 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 1 duration 2 mins.
Operation 1 on Machine 0 duration 16 mins.
Operation 2 on Machine 7 duration 17 mins.
Operation 3 on Machine 3 duration 7 mins.
Operation 4 on Machine 2 duration 14 mins.
Operation 5 on Machine 14 duration 14 mins.
Operation 6 on Machine 6 duration 15 mins.
Operation 7 on Machine 13 duration 7 mins.
Operation 8 on Machine 12 duration 2 mins.
Operation 9 on Machine 5 duration 18 mins.
Operation 10 on Machine 4 duration 5 mins.
Operation 11 on Machine 8 duration 8 mins.
Operation 12 on Machine 11 duration 16 mins.
Operation 13 on Machine 9 duration 11 mins.
Operation 14 on Machine 10 duration 5 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 10 duration 10 mins.
Operation 1 on Machine 8 duration 13 mins.
Operation 2 on Machine 0 duration 9 mins.
Operation 3 on Machine 3 duration 2 mins.
Operation 4 on Machine 12 duration 7 mins.
Operation 5 on Machine 7 duration 12 mins.
Operation 6 on Machine 11 duration 4 mins.
Operation 7 on Machine 9 duration 14 mins.
Operation 8 on Machine 14 duration 17 mins.
Operation 9 on Machine 6 duration 5 mins.
Operation 10 on Machine 4 duration 8 mins.
Operation 11 on Machine 5 duration 6 mins.
Operation 12 on Machine 13 duration 9 mins.
Operation 13 on Machine 1 duration 15 mins.
Operation 14 on Machine 2 duration 2 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 8 duration 5 mins.
Operation 1 on Machine 13 duration 1 mins.
Operation 2 on Machine 9 duration 11 mins.
Operation 3 on Machine 2 duration 3 mins.
Operation 4 on Machine 1 duration 16 mins.
Operation 5 on Machine 6 duration 3 mins.
Operation 6 on Machine 3 duration 7 mins.
Operation 7 on Machine 0 duration 17 mins.
Operation 8 on Machine 5 duration 11 mins.
Operation 9 on Machine 4 duration 11 mins.
Operation 10 on Machine 10 duration 6 mins.
Operation 11 on Machine 7 duration 7 mins.
Operation 12 on Machine 12 duration 18 mins.
Operation 13 on Machine 14 duration 11 mins.
Operation 14 on Machine 11 duration 15 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 9 duration 14 mins.
Operation 1 on Machine 0 duration 12 mins.
Operation 2 on Machine 3 duration 8 mins.
Operation 3 on Machine 7 duration 2 mins.
Operation 4 on Machine 12 duration 18 mins.
Operation 5 on Machine 5 duration 14 mins.
Operation 6 on Machine 14 duration 13 mins.
Operation 7 on Machine 1 duration 4 mins.
Operation 8 on Machine 6 duration 16 mins.
Operation 9 on Machine 11 duration 8 mins.
Operation 10 on Machine 8 duration 1 mins.
Operation 11 on Machine 13 duration 15 mins.
Operation 12 on Machine 10 duration 11 mins.
Operation 13 on Machine 2 duration 16 mins.
Operation 14 on Machine 4 duration 5 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 7 duration 8 mins.
Operation 1 on Machine 11 duration 2 mins.
Operation 2 on Machine 6 duration 14 mins.
Operation 3 on Machine 12 duration 5 mins.
Operation 4 on Machine 4 duration 4 mins.
Operation 5 on Machine 13 duration 12 mins.
Operation 6 on Machine 10 duration 14 mins.
Operation 7 on Machine 3 duration 13 mins.
Operation 8 on Machine 8 duration 9 mins.
Operation 9 on Machine 14 duration 18 mins.
Operation 10 on Machine 1 duration 7 mins.
Operation 11 on Machine 0 duration 16 mins.
Operation 12 on Machine 9 duration 10 mins.
Operation 13 on Machine 2 duration 15 mins.
Operation 14 on Machine 5 duration 3 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 4 duration 6 mins.
Operation 1 on Machine 2 duration 18 mins.
Operation 2 on Machine 5 duration 3 mins.
Operation 3 on Machine 13 duration 17 mins.
Operation 4 on Machine 10 duration 12 mins.
Operation 5 on Machine 6 duration 9 mins.
Operation 6 on Machine 9 duration 7 mins.
Operation 7 on Machine 8 duration 18 mins.
Operation 8 on Machine 14 duration 5 mins.
Operation 9 on Machine 0 duration 3 mins.
Operation 10 on Machine 1 duration 13 mins.
Operation 11 on Machine 12 duration 15 mins.
Operation 12 on Machine 11 duration 15 mins.
Operation 13 on Machine 7 duration 6 mins.
Operation 14 on Machine 3 duration 8 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 4 duration 15 mins.
Operation 1 on Machine 12 duration 9 mins.
Operation 2 on Machine 5 duration 16 mins.
Operation 3 on Machine 9 duration 18 mins.
Operation 4 on Machine 10 duration 8 mins.
Operation 5 on Machine 11 duration 13 mins.
Operation 6 on Machine 2 duration 14 mins.
Operation 7 on Machine 6 duration 1 mins.
Operation 8 on Machine 7 duration 9 mins.
Operation 9 on Machine 14 duration 5 mins.
Operation 10 on Machine 8 duration 18 mins.
Operation 11 on Machine 13 duration 13 mins.
Operation 12 on Machine 1 duration 5 mins.
Operation 13 on Machine 3 duration 14 mins.
Operation 14 on Machine 0 duration 2 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 8 Operation 0 duration 6 mins.
Job 11 Operation 0 duration 4 mins.
Job 12 Operation 1 duration 15 mins.
Job 13 Operation 1 duration 16 mins.
Job 16 Operation 1 duration 12 mins.
Job 14 Operation 2 duration 9 mins.
Job 0 Operation 5 duration 16 mins.
Job 1 Operation 5 duration 3 mins.
Job 15 Operation 7 duration 17 mins.
Job 4 Operation 8 duration 8 mins.
Job 10 Operation 8 duration 17 mins.
Job 7 Operation 9 duration 15 mins.
Job 18 Operation 9 duration 3 mins.
Job 9 Operation 10 duration 11 mins.
Job 3 Operation 11 duration 17 mins.
Job 17 Operation 11 duration 16 mins.
Job 5 Operation 13 duration 5 mins.
Job 6 Operation 13 duration 3 mins.
Job 2 Operation 14 duration 3 mins.
Job 19 Operation 14 duration 2 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 12 mins.
Job 13 Operation 0 duration 2 mins.
Job 4 Operation 1 duration 6 mins.
Job 11 Operation 3 duration 14 mins.
Job 15 Operation 4 duration 16 mins.
Job 5 Operation 5 duration 2 mins.
Job 9 Operation 5 duration 6 mins.
Job 2 Operation 6 duration 12 mins.
Job 3 Operation 6 duration 16 mins.
Job 12 Operation 7 duration 12 mins.
Job 16 Operation 7 duration 4 mins.
Job 17 Operation 10 duration 7 mins.
Job 18 Operation 10 duration 13 mins.
Job 1 Operation 11 duration 15 mins.
Job 10 Operation 11 duration 5 mins.
Job 19 Operation 12 duration 5 mins.
Job 7 Operation 13 duration 2 mins.
Job 8 Operation 13 duration 5 mins.
Job 14 Operation 13 duration 15 mins.
Job 6 Operation 14 duration 7 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 6 mins.
Job 8 Operation 1 duration 14 mins.
Job 9 Operation 1 duration 6 mins.
Job 18 Operation 1 duration 18 mins.
Job 1 Operation 2 duration 17 mins.
Job 3 Operation 2 duration 3 mins.
Job 0 Operation 3 duration 18 mins.
Job 15 Operation 3 duration 3 mins.
Job 11 Operation 4 duration 13 mins.
Job 12 Operation 4 duration 12 mins.
Job 13 Operation 4 duration 14 mins.
Job 2 Operation 5 duration 17 mins.
Job 10 Operation 5 duration 7 mins.
Job 5 Operation 6 duration 2 mins.
Job 19 Operation 6 duration 14 mins.
Job 4 Operation 10 duration 13 mins.
Job 6 Operation 12 duration 9 mins.
Job 16 Operation 13 duration 16 mins.
Job 17 Operation 13 duration 15 mins.
Job 14 Operation 14 duration 2 mins.
Machine 3 is used for the following Operations:
Job 7 Operation 1 duration 10 mins.
Job 16 Operation 2 duration 8 mins.
Job 3 Operation 3 duration 13 mins.
Job 13 Operation 3 duration 7 mins.
Job 14 Operation 3 duration 2 mins.
Job 6 Operation 4 duration 10 mins.
Job 11 Operation 5 duration 7 mins.
Job 10 Operation 6 duration 4 mins.
Job 15 Operation 6 duration 7 mins.
Job 0 Operation 7 duration 2 mins.
Job 17 Operation 7 duration 13 mins.
Job 2 Operation 9 duration 8 mins.
Job 4 Operation 9 duration 15 mins.
Job 8 Operation 11 duration 14 mins.
Job 5 Operation 12 duration 18 mins.
Job 19 Operation 13 duration 14 mins.
Job 1 Operation 14 duration 17 mins.
Job 9 Operation 14 duration 6 mins.
Job 12 Operation 14 duration 4 mins.
Job 18 Operation 14 duration 8 mins.
Machine 4 is used for the following Operations:
Job 12 Operation 0 duration 14 mins.
Job 18 Operation 0 duration 6 mins.
Job 19 Operation 0 duration 15 mins.
Job 2 Operation 1 duration 11 mins.
Job 8 Operation 2 duration 3 mins.
Job 11 Operation 2 duration 15 mins.
Job 17 Operation 4 duration 4 mins.
Job 6 Operation 5 duration 7 mins.
Job 0 Operation 6 duration 16 mins.
Job 4 Operation 6 duration 8 mins.
Job 7 Operation 6 duration 10 mins.
Job 5 Operation 8 duration 10 mins.
Job 9 Operation 8 duration 17 mins.
Job 1 Operation 9 duration 17 mins.
Job 10 Operation 9 duration 12 mins.
Job 15 Operation 9 duration 11 mins.
Job 13 Operation 10 duration 5 mins.
Job 14 Operation 10 duration 8 mins.
Job 3 Operation 13 duration 12 mins.
Job 16 Operation 14 duration 5 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 15 mins.
Job 11 Operation 1 duration 3 mins.
Job 18 Operation 2 duration 3 mins.
Job 19 Operation 2 duration 16 mins.
Job 4 Operation 3 duration 11 mins.
Job 10 Operation 3 duration 11 mins.
Job 5 Operation 4 duration 17 mins.
Job 7 Operation 5 duration 15 mins.
Job 16 Operation 5 duration 14 mins.
Job 9 Operation 7 duration 17 mins.
Job 1 Operation 8 duration 6 mins.
Job 15 Operation 8 duration 11 mins.
Job 3 Operation 9 duration 2 mins.
Job 8 Operation 9 duration 17 mins.
Job 13 Operation 9 duration 18 mins.
Job 12 Operation 11 duration 14 mins.
Job 14 Operation 11 duration 6 mins.
Job 0 Operation 12 duration 15 mins.
Job 2 Operation 13 duration 18 mins.
Job 17 Operation 14 duration 3 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 1 duration 11 mins.
Job 4 Operation 2 duration 11 mins.
Job 17 Operation 2 duration 14 mins.
Job 5 Operation 3 duration 14 mins.
Job 3 Operation 4 duration 11 mins.
Job 7 Operation 4 duration 4 mins.
Job 15 Operation 5 duration 3 mins.
Job 18 Operation 5 duration 9 mins.
Job 1 Operation 6 duration 9 mins.
Job 9 Operation 6 duration 4 mins.
Job 13 Operation 6 duration 15 mins.
Job 2 Operation 7 duration 3 mins.
Job 8 Operation 7 duration 16 mins.
Job 10 Operation 7 duration 14 mins.
Job 19 Operation 7 duration 1 mins.
Job 11 Operation 8 duration 7 mins.
Job 12 Operation 8 duration 14 mins.
Job 16 Operation 8 duration 16 mins.
Job 0 Operation 9 duration 14 mins.
Job 14 Operation 9 duration 5 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 0 duration 14 mins.
Job 17 Operation 0 duration 8 mins.
Job 5 Operation 2 duration 5 mins.
Job 13 Operation 2 duration 17 mins.
Job 1 Operation 3 duration 10 mins.
Job 9 Operation 3 duration 1 mins.
Job 12 Operation 3 duration 15 mins.
Job 16 Operation 3 duration 2 mins.
Job 14 Operation 5 duration 12 mins.
Job 8 Operation 6 duration 12 mins.
Job 3 Operation 8 duration 5 mins.
Job 19 Operation 8 duration 9 mins.
Job 6 Operation 9 duration 8 mins.
Job 11 Operation 9 duration 12 mins.
Job 0 Operation 11 duration 6 mins.
Job 15 Operation 11 duration 7 mins.
Job 7 Operation 12 duration 1 mins.
Job 10 Operation 13 duration 9 mins.
Job 18 Operation 13 duration 6 mins.
Job 4 Operation 14 duration 14 mins.
Machine 8 is used for the following Operations:
Job 15 Operation 0 duration 5 mins.
Job 3 Operation 1 duration 3 mins.
Job 14 Operation 1 duration 13 mins.
Job 7 Operation 2 duration 15 mins.
Job 10 Operation 2 duration 3 mins.
Job 2 Operation 3 duration 17 mins.
Job 18 Operation 7 duration 18 mins.
Job 17 Operation 8 duration 9 mins.
Job 9 Operation 9 duration 1 mins.
Job 0 Operation 10 duration 13 mins.
Job 1 Operation 10 duration 1 mins.
Job 5 Operation 10 duration 6 mins.
Job 16 Operation 10 duration 1 mins.
Job 19 Operation 10 duration 18 mins.
Job 6 Operation 11 duration 13 mins.
Job 13 Operation 11 duration 8 mins.
Job 4 Operation 12 duration 9 mins.
Job 8 Operation 12 duration 11 mins.
Job 12 Operation 12 duration 2 mins.
Job 11 Operation 14 duration 15 mins.
Machine 9 is used for the following Operations:
Job 1 Operation 0 duration 16 mins.
Job 16 Operation 0 duration 14 mins.
Job 2 Operation 2 duration 2 mins.
Job 15 Operation 2 duration 11 mins.
Job 6 Operation 3 duration 10 mins.
Job 19 Operation 3 duration 18 mins.
Job 0 Operation 4 duration 16 mins.
Job 8 Operation 4 duration 14 mins.
Job 3 Operation 5 duration 4 mins.
Job 18 Operation 6 duration 7 mins.
Job 5 Operation 7 duration 14 mins.
Job 14 Operation 7 duration 14 mins.
Job 7 Operation 8 duration 18 mins.
Job 12 Operation 10 duration 15 mins.
Job 9 Operation 11 duration 17 mins.
Job 11 Operation 11 duration 18 mins.
Job 17 Operation 12 duration 10 mins.
Job 4 Operation 13 duration 10 mins.
Job 13 Operation 13 duration 11 mins.
Job 10 Operation 14 duration 9 mins.
Machine 10 is used for the following Operations:
Job 9 Operation 0 duration 18 mins.
Job 10 Operation 0 duration 3 mins.
Job 14 Operation 0 duration 10 mins.
Job 1 Operation 1 duration 6 mins.
Job 0 Operation 2 duration 3 mins.
Job 7 Operation 3 duration 8 mins.
Job 18 Operation 4 duration 12 mins.
Job 19 Operation 4 duration 8 mins.
Job 12 Operation 5 duration 7 mins.
Job 17 Operation 6 duration 14 mins.
Job 11 Operation 7 duration 5 mins.
Job 2 Operation 8 duration 3 mins.
Job 8 Operation 8 duration 6 mins.
Job 3 Operation 10 duration 18 mins.
Job 6 Operation 10 duration 4 mins.
Job 15 Operation 10 duration 6 mins.
Job 4 Operation 11 duration 11 mins.
Job 5 Operation 11 duration 5 mins.
Job 16 Operation 12 duration 11 mins.
Job 13 Operation 14 duration 5 mins.
Machine 11 is used for the following Operations:
Job 5 Operation 1 duration 11 mins.
Job 17 Operation 1 duration 2 mins.
Job 1 Operation 4 duration 10 mins.
Job 10 Operation 4 duration 15 mins.
Job 8 Operation 5 duration 6 mins.
Job 19 Operation 5 duration 13 mins.
Job 11 Operation 6 duration 7 mins.
Job 12 Operation 6 duration 4 mins.
Job 14 Operation 6 duration 4 mins.
Job 4 Operation 7 duration 15 mins.
Job 6 Operation 7 duration 13 mins.
Job 16 Operation 9 duration 8 mins.
Job 2 Operation 10 duration 3 mins.
Job 3 Operation 12 duration 16 mins.
Job 13 Operation 12 duration 16 mins.
Job 18 Operation 12 duration 15 mins.
Job 9 Operation 13 duration 4 mins.
Job 0 Operation 14 duration 10 mins.
Job 7 Operation 14 duration 6 mins.
Job 15 Operation 14 duration 15 mins.
Machine 12 is used for the following Operations:
Job 3 Operation 0 duration 7 mins.
Job 10 Operation 1 duration 11 mins.
Job 19 Operation 1 duration 9 mins.
Job 6 Operation 2 duration 10 mins.
Job 8 Operation 3 duration 7 mins.
Job 17 Operation 3 duration 5 mins.
Job 4 Operation 4 duration 7 mins.
Job 14 Operation 4 duration 7 mins.
Job 16 Operation 4 duration 18 mins.
Job 7 Operation 7 duration 3 mins.
Job 13 Operation 8 duration 2 mins.
Job 18 Operation 11 duration 15 mins.
Job 1 Operation 12 duration 3 mins.
Job 2 Operation 12 duration 9 mins.
Job 9 Operation 12 duration 15 mins.
Job 15 Operation 12 duration 18 mins.
Job 0 Operation 13 duration 17 mins.
Job 11 Operation 13 duration 5 mins.
Job 12 Operation 13 duration 4 mins.
Job 5 Operation 14 duration 14 mins.
Machine 13 is used for the following Operations:
Job 15 Operation 1 duration 1 mins.
Job 18 Operation 3 duration 17 mins.
Job 2 Operation 4 duration 6 mins.
Job 9 Operation 4 duration 5 mins.
Job 4 Operation 5 duration 11 mins.
Job 17 Operation 5 duration 12 mins.
Job 13 Operation 7 duration 7 mins.
Job 0 Operation 8 duration 18 mins.
Job 6 Operation 8 duration 18 mins.
Job 5 Operation 9 duration 2 mins.
Job 12 Operation 9 duration 5 mins.
Job 8 Operation 10 duration 16 mins.
Job 11 Operation 10 duration 12 mins.
Job 7 Operation 11 duration 16 mins.
Job 16 Operation 11 duration 15 mins.
Job 19 Operation 11 duration 13 mins.
Job 10 Operation 12 duration 8 mins.
Job 14 Operation 12 duration 9 mins.
Job 1 Operation 13 duration 14 mins.
Job 3 Operation 14 duration 1 mins.
Machine 14 is used for the following Operations:
Job 4 Operation 0 duration 15 mins.
Job 5 Operation 0 duration 9 mins.
Job 0 Operation 1 duration 2 mins.
Job 9 Operation 2 duration 6 mins.
Job 12 Operation 2 duration 11 mins.
Job 13 Operation 5 duration 14 mins.
Job 6 Operation 6 duration 4 mins.
Job 16 Operation 6 duration 13 mins.
Job 1 Operation 7 duration 12 mins.
Job 3 Operation 7 duration 16 mins.
Job 14 Operation 8 duration 17 mins.
Job 18 Operation 8 duration 5 mins.
Job 17 Operation 9 duration 18 mins.
Job 19 Operation 9 duration 5 mins.
Job 7 Operation 10 duration 18 mins.
Job 10 Operation 10 duration 15 mins.
Job 2 Operation 11 duration 9 mins.
Job 11 Operation 12 duration 9 mins.
Job 15 Operation 13 duration 11 mins.
Job 8 Operation 14 duration 11 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 6 -> 6
Job 13 Operation 0 on Machine 1 : 0 + 2 -> 2
Job 7 Operation 0 on Machine 2 : 0 + 6 -> 6
Job 18 Operation 0 on Machine 4 : 0 + 6 -> 6
Job 6 Operation 0 on Machine 5 : 0 + 15 -> 15
Job 17 Operation 0 on Machine 7 : 0 + 8 -> 8
Job 15 Operation 0 on Machine 8 : 0 + 5 -> 5
Job 16 Operation 0 on Machine 9 : 0 + 14 -> 14
Job 10 Operation 0 on Machine 10 : 0 + 3 -> 3
Job 3 Operation 0 on Machine 12 : 0 + 7 -> 7
Job 4 Operation 0 on Machine 14 : 0 + 15 -> 15
Job 0 Operation 0 on Machine 1 : 2 + 12 -> 14
Job 14 Operation 0 on Machine 10 : 3 + 10 -> 13
Job 15 Operation 1 on Machine 13 : 5 + 1 -> 6
Job 11 Operation 0 on Machine 0 : 6 + 4 -> 10
Job 8 Operation 1 on Machine 2 : 6 + 14 -> 20
Job 7 Operation 1 on Machine 3 : 6 + 10 -> 16
Job 12 Operation 0 on Machine 4 : 6 + 14 -> 20
Job 3 Operation 1 on Machine 8 : 7 + 3 -> 10
Job 10 Operation 1 on Machine 12 : 7 + 11 -> 18
Job 2 Operation 0 on Machine 7 : 8 + 14 -> 22
Job 17 Operation 1 on Machine 11 : 8 + 2 -> 10
Job 17 Operation 2 on Machine 6 : 10 + 14 -> 24
Job 9 Operation 0 on Machine 10 : 13 + 18 -> 31
Job 16 Operation 1 on Machine 0 : 14 + 12 -> 26
Job 15 Operation 2 on Machine 9 : 14 + 11 -> 25
Job 4 Operation 1 on Machine 1 : 15 + 6 -> 21
Job 11 Operation 1 on Machine 5 : 15 + 3 -> 18
Job 5 Operation 0 on Machine 14 : 15 + 9 -> 24
Job 10 Operation 2 on Machine 8 : 18 + 3 -> 21
Job 3 Operation 2 on Machine 2 : 20 + 3 -> 23
Job 8 Operation 2 on Machine 4 : 20 + 3 -> 23
Job 10 Operation 3 on Machine 5 : 21 + 11 -> 32
Job 7 Operation 2 on Machine 8 : 21 + 15 -> 36
Job 11 Operation 2 on Machine 4 : 23 + 15 -> 38
Job 8 Operation 3 on Machine 12 : 23 + 7 -> 30
Job 4 Operation 2 on Machine 6 : 24 + 11 -> 35
Job 5 Operation 1 on Machine 11 : 24 + 11 -> 35
Job 0 Operation 1 on Machine 14 : 24 + 2 -> 26
Job 15 Operation 3 on Machine 2 : 25 + 3 -> 28
Job 13 Operation 1 on Machine 0 : 26 + 16 -> 42
Job 16 Operation 2 on Machine 3 : 26 + 8 -> 34
Job 15 Operation 4 on Machine 1 : 28 + 16 -> 44
Job 18 Operation 1 on Machine 2 : 28 + 18 -> 46
Job 8 Operation 4 on Machine 9 : 30 + 14 -> 44
Job 17 Operation 3 on Machine 12 : 30 + 5 -> 35
Job 0 Operation 2 on Machine 10 : 31 + 3 -> 34
Job 3 Operation 3 on Machine 3 : 34 + 13 -> 47
Job 16 Operation 3 on Machine 7 : 34 + 2 -> 36
Job 4 Operation 3 on Machine 5 : 35 + 11 -> 46
Job 6 Operation 1 on Machine 6 : 35 + 11 -> 46
Job 5 Operation 2 on Machine 7 : 36 + 5 -> 41
Job 14 Operation 1 on Machine 8 : 36 + 13 -> 49
Job 7 Operation 3 on Machine 10 : 36 + 8 -> 44
Job 16 Operation 4 on Machine 12 : 36 + 18 -> 54
Job 17 Operation 4 on Machine 4 : 38 + 4 -> 42
Job 12 Operation 1 on Machine 0 : 42 + 15 -> 57
Job 19 Operation 0 on Machine 4 : 42 + 15 -> 57
Job 17 Operation 5 on Machine 13 : 42 + 12 -> 54
Job 11 Operation 3 on Machine 1 : 44 + 14 -> 58
Job 1 Operation 0 on Machine 9 : 44 + 16 -> 60
Job 8 Operation 5 on Machine 11 : 44 + 6 -> 50
Job 0 Operation 3 on Machine 2 : 46 + 18 -> 64
Job 18 Operation 2 on Machine 5 : 46 + 3 -> 49
Job 7 Operation 4 on Machine 6 : 46 + 4 -> 50
Job 3 Operation 4 on Machine 6 : 50 + 11 -> 61
Job 8 Operation 6 on Machine 7 : 50 + 12 -> 62
Job 10 Operation 4 on Machine 11 : 50 + 15 -> 65
Job 16 Operation 5 on Machine 5 : 54 + 14 -> 68
Job 17 Operation 6 on Machine 10 : 54 + 14 -> 68
Job 18 Operation 3 on Machine 13 : 54 + 17 -> 71
Job 14 Operation 2 on Machine 0 : 57 + 9 -> 66
Job 2 Operation 1 on Machine 4 : 57 + 11 -> 68
Job 19 Operation 1 on Machine 12 : 57 + 9 -> 66
Job 12 Operation 2 on Machine 14 : 57 + 11 -> 68
Job 3 Operation 5 on Machine 9 : 61 + 4 -> 65
Job 8 Operation 7 on Machine 6 : 62 + 16 -> 78
Job 13 Operation 2 on Machine 7 : 62 + 17 -> 79
Job 11 Operation 4 on Machine 2 : 64 + 13 -> 77
Job 3 Operation 6 on Machine 1 : 65 + 16 -> 81
Job 0 Operation 4 on Machine 9 : 65 + 16 -> 81
Job 14 Operation 3 on Machine 3 : 66 + 2 -> 68
Job 17 Operation 7 on Machine 3 : 68 + 13 -> 81
Job 19 Operation 2 on Machine 5 : 68 + 16 -> 84
Job 1 Operation 1 on Machine 10 : 68 + 6 -> 74
Job 14 Operation 4 on Machine 12 : 68 + 7 -> 75
Job 16 Operation 6 on Machine 14 : 68 + 13 -> 81
Job 4 Operation 4 on Machine 12 : 75 + 7 -> 82
Job 1 Operation 2 on Machine 2 : 77 + 17 -> 94
Job 15 Operation 5 on Machine 6 : 78 + 3 -> 81
Job 8 Operation 8 on Machine 10 : 78 + 6 -> 84
Job 14 Operation 5 on Machine 7 : 79 + 12 -> 91
Job 16 Operation 7 on Machine 1 : 81 + 4 -> 85
Job 15 Operation 6 on Machine 3 : 81 + 7 -> 88
Job 5 Operation 3 on Machine 6 : 81 + 14 -> 95
Job 17 Operation 8 on Machine 8 : 81 + 9 -> 90
Job 2 Operation 2 on Machine 9 : 81 + 2 -> 83
Job 3 Operation 7 on Machine 14 : 81 + 16 -> 97
Job 6 Operation 2 on Machine 12 : 82 + 10 -> 92
Job 4 Operation 5 on Machine 13 : 82 + 11 -> 93
Job 8 Operation 9 on Machine 5 : 84 + 17 -> 101
Job 19 Operation 3 on Machine 9 : 84 + 18 -> 102
Job 18 Operation 4 on Machine 10 : 84 + 12 -> 96
Job 15 Operation 7 on Machine 0 : 88 + 17 -> 105
Job 11 Operation 5 on Machine 3 : 88 + 7 -> 95
Job 2 Operation 3 on Machine 8 : 90 + 17 -> 107
Job 14 Operation 6 on Machine 11 : 91 + 4 -> 95
Job 4 Operation 6 on Machine 4 : 93 + 8 -> 101
Job 9 Operation 1 on Machine 2 : 94 + 6 -> 100
Job 1 Operation 3 on Machine 7 : 94 + 10 -> 104
Job 13 Operation 3 on Machine 3 : 95 + 7 -> 102
Job 11 Operation 6 on Machine 11 : 95 + 7 -> 102
Job 18 Operation 5 on Machine 6 : 96 + 9 -> 105
Job 17 Operation 9 on Machine 14 : 97 + 18 -> 115
Job 8 Operation 10 on Machine 13 : 101 + 16 -> 117
Job 13 Operation 4 on Machine 2 : 102 + 14 -> 116
Job 11 Operation 7 on Machine 10 : 102 + 5 -> 107
Job 1 Operation 4 on Machine 11 : 104 + 10 -> 114
Job 0 Operation 5 on Machine 0 : 105 + 16 -> 121
Job 15 Operation 8 on Machine 5 : 105 + 11 -> 116
Job 18 Operation 6 on Machine 9 : 105 + 7 -> 112
Job 11 Operation 8 on Machine 6 : 107 + 7 -> 114
Job 19 Operation 4 on Machine 10 : 107 + 8 -> 115
Job 18 Operation 7 on Machine 8 : 112 + 18 -> 130
Job 6 Operation 3 on Machine 9 : 112 + 10 -> 122
Job 16 Operation 8 on Machine 6 : 114 + 16 -> 130
Job 11 Operation 9 on Machine 7 : 114 + 12 -> 126
Job 17 Operation 10 on Machine 1 : 115 + 7 -> 122
Job 19 Operation 5 on Machine 11 : 115 + 13 -> 128
Job 9 Operation 2 on Machine 14 : 115 + 6 -> 121
Job 10 Operation 5 on Machine 2 : 116 + 7 -> 123
Job 15 Operation 9 on Machine 4 : 116 + 11 -> 127
Job 5 Operation 4 on Machine 5 : 116 + 17 -> 133
Job 2 Operation 4 on Machine 13 : 117 + 6 -> 123
Job 1 Operation 5 on Machine 0 : 121 + 3 -> 124
Job 13 Operation 5 on Machine 14 : 121 + 14 -> 135
Job 6 Operation 4 on Machine 3 : 122 + 10 -> 132
Job 14 Operation 7 on Machine 9 : 122 + 14 -> 136
Job 17 Operation 11 on Machine 0 : 124 + 16 -> 140
Job 9 Operation 3 on Machine 7 : 126 + 1 -> 127
Job 0 Operation 6 on Machine 4 : 127 + 16 -> 143
Job 3 Operation 8 on Machine 7 : 127 + 5 -> 132
Job 15 Operation 10 on Machine 10 : 127 + 6 -> 133
Job 9 Operation 4 on Machine 13 : 127 + 5 -> 132
Job 19 Operation 6 on Machine 2 : 128 + 14 -> 142
Job 1 Operation 6 on Machine 6 : 130 + 9 -> 139
Job 16 Operation 9 on Machine 11 : 130 + 8 -> 138
Job 9 Operation 5 on Machine 1 : 132 + 6 -> 138
Job 10 Operation 6 on Machine 3 : 132 + 4 -> 136
Job 11 Operation 10 on Machine 13 : 132 + 12 -> 144
Job 7 Operation 5 on Machine 5 : 133 + 15 -> 148
Job 15 Operation 11 on Machine 7 : 133 + 7 -> 140
Job 18 Operation 8 on Machine 14 : 135 + 5 -> 140
Job 5 Operation 5 on Machine 1 : 138 + 2 -> 140
Job 16 Operation 10 on Machine 8 : 138 + 1 -> 139
Job 4 Operation 7 on Machine 11 : 138 + 15 -> 153
Job 9 Operation 6 on Machine 6 : 139 + 4 -> 143
Job 18 Operation 9 on Machine 0 : 140 + 3 -> 143
Job 15 Operation 12 on Machine 12 : 140 + 18 -> 158
Job 1 Operation 7 on Machine 14 : 140 + 12 -> 152
Job 5 Operation 6 on Machine 2 : 142 + 2 -> 144
Job 18 Operation 10 on Machine 1 : 143 + 13 -> 156
Job 0 Operation 7 on Machine 3 : 143 + 2 -> 145
Job 6 Operation 5 on Machine 4 : 143 + 7 -> 150
Job 19 Operation 7 on Machine 6 : 143 + 1 -> 144
Job 2 Operation 5 on Machine 2 : 144 + 17 -> 161
Job 10 Operation 7 on Machine 6 : 144 + 14 -> 158
Job 19 Operation 8 on Machine 7 : 144 + 9 -> 153
Job 5 Operation 7 on Machine 9 : 144 + 14 -> 158
Job 16 Operation 11 on Machine 13 : 144 + 15 -> 159
Job 3 Operation 9 on Machine 5 : 148 + 2 -> 150
Job 7 Operation 6 on Machine 4 : 150 + 10 -> 160
Job 9 Operation 7 on Machine 5 : 150 + 17 -> 167
Job 3 Operation 10 on Machine 10 : 150 + 18 -> 168
Job 4 Operation 8 on Machine 0 : 153 + 8 -> 161
Job 12 Operation 3 on Machine 7 : 153 + 15 -> 168
Job 19 Operation 9 on Machine 14 : 153 + 5 -> 158
Job 13 Operation 6 on Machine 6 : 158 + 15 -> 173
Job 19 Operation 10 on Machine 8 : 158 + 18 -> 176
Job 15 Operation 13 on Machine 14 : 158 + 11 -> 169
Job 0 Operation 8 on Machine 13 : 159 + 18 -> 177
Job 5 Operation 8 on Machine 4 : 160 + 10 -> 170
Job 7 Operation 7 on Machine 12 : 160 + 3 -> 163
Job 10 Operation 8 on Machine 0 : 161 + 17 -> 178
Job 2 Operation 6 on Machine 1 : 161 + 12 -> 173
Job 4 Operation 9 on Machine 3 : 161 + 15 -> 176
Job 7 Operation 8 on Machine 9 : 163 + 18 -> 181
Job 18 Operation 11 on Machine 12 : 163 + 15 -> 178
Job 1 Operation 8 on Machine 5 : 167 + 6 -> 173
Job 12 Operation 4 on Machine 2 : 168 + 12 -> 180
Job 6 Operation 6 on Machine 14 : 169 + 4 -> 173
Job 9 Operation 8 on Machine 4 : 170 + 17 -> 187
Job 2 Operation 7 on Machine 6 : 173 + 3 -> 176
Job 6 Operation 7 on Machine 11 : 173 + 13 -> 186
Job 14 Operation 8 on Machine 14 : 173 + 17 -> 190
Job 2 Operation 8 on Machine 10 : 176 + 3 -> 179
Job 0 Operation 9 on Machine 6 : 177 + 14 -> 191
Job 5 Operation 9 on Machine 13 : 177 + 2 -> 179
Job 2 Operation 9 on Machine 3 : 179 + 8 -> 187
Job 5 Operation 10 on Machine 8 : 179 + 6 -> 185
Job 13 Operation 7 on Machine 13 : 179 + 7 -> 186
Job 4 Operation 10 on Machine 2 : 180 + 13 -> 193
Job 12 Operation 5 on Machine 10 : 180 + 7 -> 187
Job 7 Operation 9 on Machine 0 : 181 + 15 -> 196
Job 11 Operation 11 on Machine 9 : 181 + 18 -> 199
Job 13 Operation 8 on Machine 12 : 186 + 2 -> 188
Job 19 Operation 11 on Machine 13 : 186 + 13 -> 199
Job 8 Operation 11 on Machine 3 : 187 + 14 -> 201
Job 1 Operation 9 on Machine 4 : 187 + 17 -> 204
Job 9 Operation 9 on Machine 8 : 187 + 1 -> 188
Job 2 Operation 10 on Machine 11 : 187 + 3 -> 190
Job 13 Operation 9 on Machine 5 : 188 + 18 -> 206
Job 12 Operation 6 on Machine 11 : 190 + 4 -> 194
Job 2 Operation 11 on Machine 14 : 190 + 9 -> 199
Job 14 Operation 9 on Machine 6 : 191 + 5 -> 196
Job 0 Operation 10 on Machine 8 : 191 + 13 -> 204
Job 4 Operation 11 on Machine 10 : 193 + 11 -> 204
Job 12 Operation 7 on Machine 1 : 194 + 12 -> 206
Job 18 Operation 12 on Machine 11 : 194 + 15 -> 209
Job 9 Operation 10 on Machine 0 : 196 + 11 -> 207
Job 2 Operation 12 on Machine 12 : 199 + 9 -> 208
Job 6 Operation 8 on Machine 13 : 199 + 18 -> 217
Job 11 Operation 12 on Machine 14 : 199 + 9 -> 208
Job 14 Operation 10 on Machine 4 : 204 + 8 -> 212
Job 0 Operation 11 on Machine 7 : 204 + 6 -> 210
Job 1 Operation 10 on Machine 8 : 204 + 1 -> 205
Job 5 Operation 11 on Machine 10 : 204 + 5 -> 209
Job 4 Operation 12 on Machine 8 : 205 + 9 -> 214
Job 1 Operation 11 on Machine 1 : 206 + 15 -> 221
Job 12 Operation 8 on Machine 6 : 206 + 14 -> 220
Job 3 Operation 11 on Machine 0 : 207 + 17 -> 224
Job 9 Operation 11 on Machine 9 : 207 + 17 -> 224
Job 11 Operation 13 on Machine 12 : 208 + 5 -> 213
Job 7 Operation 10 on Machine 14 : 208 + 18 -> 226
Job 5 Operation 12 on Machine 3 : 209 + 18 -> 227
Job 16 Operation 12 on Machine 10 : 209 + 11 -> 220
Job 15 Operation 14 on Machine 11 : 209 + 15 -> 224
Job 18 Operation 13 on Machine 7 : 210 + 6 -> 216
Job 10 Operation 9 on Machine 4 : 212 + 12 -> 224
Job 14 Operation 11 on Machine 5 : 212 + 6 -> 218
Job 8 Operation 12 on Machine 8 : 214 + 11 -> 225
Job 6 Operation 9 on Machine 7 : 217 + 8 -> 225
Job 0 Operation 12 on Machine 5 : 218 + 15 -> 233
Job 14 Operation 12 on Machine 13 : 218 + 9 -> 227
Job 16 Operation 13 on Machine 2 : 220 + 16 -> 236
Job 19 Operation 12 on Machine 1 : 221 + 5 -> 226
Job 1 Operation 12 on Machine 12 : 221 + 3 -> 224
Job 13 Operation 10 on Machine 4 : 224 + 5 -> 229
Job 4 Operation 13 on Machine 9 : 224 + 10 -> 234
Job 3 Operation 12 on Machine 11 : 224 + 16 -> 240
Job 9 Operation 12 on Machine 12 : 224 + 15 -> 239
Job 6 Operation 10 on Machine 10 : 225 + 4 -> 229
Job 8 Operation 13 on Machine 1 : 226 + 5 -> 231
Job 10 Operation 10 on Machine 14 : 226 + 15 -> 241
Job 5 Operation 13 on Machine 0 : 227 + 5 -> 232
Job 18 Operation 14 on Machine 3 : 227 + 8 -> 235
Job 12 Operation 9 on Machine 13 : 227 + 5 -> 232
Job 13 Operation 11 on Machine 8 : 229 + 8 -> 237
Job 1 Operation 13 on Machine 13 : 232 + 14 -> 246
Job 2 Operation 13 on Machine 5 : 233 + 18 -> 251
Job 4 Operation 14 on Machine 7 : 234 + 14 -> 248
Job 12 Operation 10 on Machine 9 : 234 + 15 -> 249
Job 19 Operation 13 on Machine 3 : 235 + 14 -> 249
Job 6 Operation 11 on Machine 8 : 237 + 13 -> 250
Job 0 Operation 13 on Machine 12 : 239 + 17 -> 256
Job 3 Operation 13 on Machine 4 : 240 + 12 -> 252
Job 13 Operation 12 on Machine 11 : 240 + 16 -> 256
Job 10 Operation 11 on Machine 1 : 241 + 5 -> 246
Job 8 Operation 14 on Machine 14 : 241 + 11 -> 252
Job 14 Operation 13 on Machine 1 : 246 + 15 -> 261
Job 10 Operation 12 on Machine 13 : 246 + 8 -> 254
Job 19 Operation 14 on Machine 0 : 249 + 2 -> 251
Job 1 Operation 14 on Machine 3 : 249 + 17 -> 266
Job 17 Operation 12 on Machine 9 : 249 + 10 -> 259
Job 6 Operation 12 on Machine 2 : 250 + 9 -> 259
Job 11 Operation 14 on Machine 8 : 250 + 15 -> 265
Job 12 Operation 11 on Machine 5 : 251 + 14 -> 265
Job 16 Operation 14 on Machine 4 : 252 + 5 -> 257
Job 10 Operation 13 on Machine 7 : 254 + 9 -> 263
Job 7 Operation 11 on Machine 13 : 254 + 16 -> 270
Job 9 Operation 13 on Machine 11 : 256 + 4 -> 260
Job 5 Operation 14 on Machine 12 : 256 + 14 -> 270
Job 6 Operation 13 on Machine 0 : 259 + 3 -> 262
Job 17 Operation 13 on Machine 2 : 259 + 15 -> 274
Job 13 Operation 13 on Machine 9 : 259 + 11 -> 270
Job 0 Operation 14 on Machine 11 : 260 + 10 -> 270
Job 2 Operation 14 on Machine 0 : 262 + 3 -> 265
Job 6 Operation 14 on Machine 1 : 262 + 7 -> 269
Job 12 Operation 12 on Machine 8 : 265 + 2 -> 267
Job 9 Operation 14 on Machine 3 : 266 + 6 -> 272
Job 7 Operation 12 on Machine 7 : 270 + 1 -> 271
Job 10 Operation 14 on Machine 9 : 270 + 9 -> 279
Job 13 Operation 14 on Machine 10 : 270 + 5 -> 275
Job 12 Operation 13 on Machine 12 : 270 + 4 -> 274
Job 3 Operation 14 on Machine 13 : 270 + 1 -> 271
Job 7 Operation 13 on Machine 1 : 271 + 2 -> 273
Job 7 Operation 14 on Machine 11 : 273 + 6 -> 279
Job 14 Operation 14 on Machine 2 : 274 + 2 -> 276
Job 12 Operation 14 on Machine 3 : 274 + 4 -> 278
Job 17 Operation 14 on Machine 5 : 274 + 3 -> 277
Makespan: 279.0, as it is the maximum end completion time of Operation 14
| null |
|
10 | 3 |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 178 mins.
Operation 1 on Machine 0 duration 293 mins.
Operation 2 on Machine 2 duration 360 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 401 mins.
Operation 1 on Machine 2 duration 371 mins.
Operation 2 on Machine 1 duration 340 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 71 mins.
Operation 1 on Machine 2 duration 104 mins.
Operation 2 on Machine 0 duration 240 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 328 mins.
Operation 1 on Machine 1 duration 119 mins.
Operation 2 on Machine 0 duration 125 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 76 mins.
Operation 1 on Machine 2 duration 314 mins.
Operation 2 on Machine 1 duration 302 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 143 mins.
Operation 1 on Machine 2 duration 387 mins.
Operation 2 on Machine 1 duration 340 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 326 mins.
Operation 1 on Machine 2 duration 324 mins.
Operation 2 on Machine 1 duration 74 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 166 mins.
Operation 1 on Machine 0 duration 251 mins.
Operation 2 on Machine 2 duration 187 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 41 mins.
Operation 1 on Machine 1 duration 317 mins.
Operation 2 on Machine 0 duration 74 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 167 mins.
Operation 1 on Machine 0 duration 204 mins.
Operation 2 on Machine 2 duration 241 mins.
| null |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 401 mins.
Job 4 Operation 0 duration 76 mins.
Job 5 Operation 0 duration 143 mins.
Job 6 Operation 0 duration 326 mins.
Job 0 Operation 1 duration 293 mins.
Job 7 Operation 1 duration 251 mins.
Job 9 Operation 1 duration 204 mins.
Job 2 Operation 2 duration 240 mins.
Job 3 Operation 2 duration 125 mins.
Job 8 Operation 2 duration 74 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 178 mins.
Job 2 Operation 0 duration 71 mins.
Job 7 Operation 0 duration 166 mins.
Job 9 Operation 0 duration 167 mins.
Job 3 Operation 1 duration 119 mins.
Job 8 Operation 1 duration 317 mins.
Job 1 Operation 2 duration 340 mins.
Job 4 Operation 2 duration 302 mins.
Job 5 Operation 2 duration 340 mins.
Job 6 Operation 2 duration 74 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 328 mins.
Job 8 Operation 0 duration 41 mins.
Job 1 Operation 1 duration 371 mins.
Job 2 Operation 1 duration 104 mins.
Job 4 Operation 1 duration 314 mins.
Job 5 Operation 1 duration 387 mins.
Job 6 Operation 1 duration 324 mins.
Job 0 Operation 2 duration 360 mins.
Job 7 Operation 2 duration 187 mins.
Job 9 Operation 2 duration 241 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 326 -> 326
Job 8 Operation 0 on Machine 2 : 0 + 41 -> 41
Job 8 Operation 1 on Machine 1 : 41 + 317 -> 358
Job 3 Operation 0 on Machine 2 : 41 + 328 -> 369
Job 8 Operation 2 on Machine 0 : 358 + 74 -> 432
Job 3 Operation 1 on Machine 1 : 369 + 119 -> 488
Job 6 Operation 1 on Machine 2 : 369 + 324 -> 693
Job 4 Operation 0 on Machine 0 : 432 + 76 -> 508
Job 0 Operation 0 on Machine 1 : 488 + 178 -> 666
Job 3 Operation 2 on Machine 0 : 508 + 125 -> 633
Job 0 Operation 1 on Machine 0 : 666 + 293 -> 959
Job 9 Operation 0 on Machine 1 : 666 + 167 -> 833
Job 4 Operation 1 on Machine 2 : 693 + 314 -> 1007
Job 6 Operation 2 on Machine 1 : 833 + 74 -> 907
Job 2 Operation 0 on Machine 1 : 907 + 71 -> 978
Job 1 Operation 0 on Machine 0 : 959 + 401 -> 1360
Job 4 Operation 2 on Machine 1 : 1007 + 302 -> 1309
Job 0 Operation 2 on Machine 2 : 1007 + 360 -> 1367
Job 7 Operation 0 on Machine 1 : 1309 + 166 -> 1475
Job 5 Operation 0 on Machine 0 : 1360 + 143 -> 1503
Job 1 Operation 1 on Machine 2 : 1367 + 371 -> 1738
Job 7 Operation 1 on Machine 0 : 1503 + 251 -> 1754
Job 1 Operation 2 on Machine 1 : 1738 + 340 -> 2078
Job 2 Operation 1 on Machine 2 : 1738 + 104 -> 1842
Job 2 Operation 2 on Machine 0 : 1842 + 240 -> 2082
Job 5 Operation 1 on Machine 2 : 1842 + 387 -> 2229
Job 9 Operation 1 on Machine 0 : 2082 + 204 -> 2286
Job 5 Operation 2 on Machine 1 : 2229 + 340 -> 2569
Job 7 Operation 2 on Machine 2 : 2229 + 187 -> 2416
Job 9 Operation 2 on Machine 2 : 2416 + 241 -> 2657
Makespan: 2657.0, as it is the maximum end completion time of Operation 2
| null |
|
3 | 3 |
Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 234 mins.
Operation 1 on Machine 1 duration 80 mins.
Operation 2 on Machine 2 duration 200 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 100 mins.
Operation 1 on Machine 1 duration 169 mins.
Operation 2 on Machine 2 duration 5 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 248 mins.
Operation 1 on Machine 2 duration 60 mins.
Operation 2 on Machine 1 duration 45 mins.
| null |
Optimize schedule for 3 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 234 mins.
Job 1 Operation 0 duration 100 mins.
Job 2 Operation 0 duration 248 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 80 mins.
Job 1 Operation 1 duration 169 mins.
Job 2 Operation 2 duration 45 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 1 duration 60 mins.
Job 0 Operation 2 duration 200 mins.
Job 1 Operation 2 duration 5 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 234 -> 234
Job 1 Operation 0 on Machine 0 : 234 + 100 -> 334
Job 0 Operation 1 on Machine 1 : 234 + 80 -> 314
Job 0 Operation 2 on Machine 2 : 314 + 200 -> 514
Job 2 Operation 0 on Machine 0 : 334 + 248 -> 582
Job 1 Operation 1 on Machine 1 : 334 + 169 -> 503
Job 1 Operation 2 on Machine 2 : 514 + 5 -> 519
Job 2 Operation 1 on Machine 2 : 582 + 60 -> 642
Job 2 Operation 2 on Machine 1 : 642 + 45 -> 687
Makespan: 687.0, as it is the maximum end completion time of Operation 2
| 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 1 duration 182 mins.
Operation 1 on Machine 0 duration 203 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 353 mins.
Operation 1 on Machine 1 duration 305 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 1 Operation 0 duration 353 mins.
Job 0 Operation 1 duration 203 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 182 mins.
Job 1 Operation 1 duration 305 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 353 -> 353
Job 0 Operation 0 on Machine 1 : 0 + 182 -> 182
Job 0 Operation 1 on Machine 0 : 353 + 203 -> 556
Job 1 Operation 1 on Machine 1 : 353 + 305 -> 658
Makespan: 658.0, as it is the maximum end completion time of Operation 1
| null |
|
7 | 5 |
Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 90 mins.
Operation 1 on Machine 1 duration 82 mins.
Operation 2 on Machine 2 duration 12 mins.
Operation 3 on Machine 0 duration 76 mins.
Operation 4 on Machine 3 duration 82 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 4 mins.
Operation 1 on Machine 0 duration 21 mins.
Operation 2 on Machine 1 duration 49 mins.
Operation 3 on Machine 4 duration 13 mins.
Operation 4 on Machine 2 duration 86 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 87 mins.
Operation 1 on Machine 2 duration 88 mins.
Operation 2 on Machine 4 duration 30 mins.
Operation 3 on Machine 3 duration 104 mins.
Operation 4 on Machine 1 duration 42 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 23 mins.
Operation 1 on Machine 3 duration 36 mins.
Operation 2 on Machine 0 duration 67 mins.
Operation 3 on Machine 4 duration 89 mins.
Operation 4 on Machine 1 duration 96 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 52 mins.
Operation 1 on Machine 4 duration 28 mins.
Operation 2 on Machine 2 duration 55 mins.
Operation 3 on Machine 0 duration 44 mins.
Operation 4 on Machine 3 duration 19 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 66 mins.
Operation 1 on Machine 0 duration 45 mins.
Operation 2 on Machine 2 duration 46 mins.
Operation 3 on Machine 4 duration 68 mins.
Operation 4 on Machine 1 duration 37 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 81 mins.
Operation 1 on Machine 4 duration 17 mins.
Operation 2 on Machine 2 duration 90 mins.
Operation 3 on Machine 0 duration 65 mins.
Operation 4 on Machine 3 duration 38 mins.
| null |
Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 87 mins.
Job 1 Operation 1 duration 21 mins.
Job 5 Operation 1 duration 45 mins.
Job 3 Operation 2 duration 67 mins.
Job 0 Operation 3 duration 76 mins.
Job 4 Operation 3 duration 44 mins.
Job 6 Operation 3 duration 65 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 52 mins.
Job 6 Operation 0 duration 81 mins.
Job 0 Operation 1 duration 82 mins.
Job 1 Operation 2 duration 49 mins.
Job 2 Operation 4 duration 42 mins.
Job 3 Operation 4 duration 96 mins.
Job 5 Operation 4 duration 37 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 23 mins.
Job 2 Operation 1 duration 88 mins.
Job 0 Operation 2 duration 12 mins.
Job 4 Operation 2 duration 55 mins.
Job 5 Operation 2 duration 46 mins.
Job 6 Operation 2 duration 90 mins.
Job 1 Operation 4 duration 86 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 4 mins.
Job 5 Operation 0 duration 66 mins.
Job 3 Operation 1 duration 36 mins.
Job 2 Operation 3 duration 104 mins.
Job 0 Operation 4 duration 82 mins.
Job 4 Operation 4 duration 19 mins.
Job 6 Operation 4 duration 38 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 90 mins.
Job 4 Operation 1 duration 28 mins.
Job 6 Operation 1 duration 17 mins.
Job 2 Operation 2 duration 30 mins.
Job 1 Operation 3 duration 13 mins.
Job 3 Operation 3 duration 89 mins.
Job 5 Operation 3 duration 68 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 87 -> 87
Job 6 Operation 0 on Machine 1 : 0 + 81 -> 81
Job 3 Operation 0 on Machine 2 : 0 + 23 -> 23
Job 1 Operation 0 on Machine 3 : 0 + 4 -> 4
Job 0 Operation 0 on Machine 4 : 0 + 90 -> 90
Job 3 Operation 1 on Machine 3 : 23 + 36 -> 59
Job 5 Operation 0 on Machine 3 : 59 + 66 -> 125
Job 3 Operation 2 on Machine 0 : 87 + 67 -> 154
Job 2 Operation 1 on Machine 2 : 87 + 88 -> 175
Job 0 Operation 1 on Machine 1 : 90 + 82 -> 172
Job 6 Operation 1 on Machine 4 : 90 + 17 -> 107
Job 1 Operation 1 on Machine 0 : 154 + 21 -> 175
Job 4 Operation 0 on Machine 1 : 172 + 52 -> 224
Job 5 Operation 1 on Machine 0 : 175 + 45 -> 220
Job 0 Operation 2 on Machine 2 : 175 + 12 -> 187
Job 2 Operation 2 on Machine 4 : 175 + 30 -> 205
Job 6 Operation 2 on Machine 2 : 187 + 90 -> 277
Job 2 Operation 3 on Machine 3 : 205 + 104 -> 309
Job 3 Operation 3 on Machine 4 : 205 + 89 -> 294
Job 0 Operation 3 on Machine 0 : 220 + 76 -> 296
Job 1 Operation 2 on Machine 1 : 224 + 49 -> 273
Job 5 Operation 2 on Machine 2 : 277 + 46 -> 323
Job 3 Operation 4 on Machine 1 : 294 + 96 -> 390
Job 4 Operation 1 on Machine 4 : 294 + 28 -> 322
Job 6 Operation 3 on Machine 0 : 296 + 65 -> 361
Job 0 Operation 4 on Machine 3 : 309 + 82 -> 391
Job 1 Operation 3 on Machine 4 : 322 + 13 -> 335
Job 4 Operation 2 on Machine 2 : 323 + 55 -> 378
Job 5 Operation 3 on Machine 4 : 335 + 68 -> 403
Job 4 Operation 3 on Machine 0 : 378 + 44 -> 422
Job 1 Operation 4 on Machine 2 : 378 + 86 -> 464
Job 2 Operation 4 on Machine 1 : 390 + 42 -> 432
Job 6 Operation 4 on Machine 3 : 391 + 38 -> 429
Job 4 Operation 4 on Machine 3 : 429 + 19 -> 448
Job 5 Operation 4 on Machine 1 : 432 + 37 -> 469
Makespan: 469.0, as it is the maximum end completion time of Operation 4
| 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 184 mins.
Operation 1 on Machine 0 duration 139 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 330 mins.
Operation 1 on Machine 0 duration 73 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 288 mins.
Operation 1 on Machine 1 duration 229 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 162 mins.
Operation 1 on Machine 0 duration 133 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 325 mins.
Operation 1 on Machine 0 duration 212 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 301 mins.
Operation 1 on Machine 0 duration 66 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 50 mins.
Operation 1 on Machine 1 duration 10 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 110 mins.
Operation 1 on Machine 1 duration 187 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 2 Operation 0 duration 288 mins.
Job 6 Operation 0 duration 50 mins.
Job 7 Operation 0 duration 110 mins.
Job 0 Operation 1 duration 139 mins.
Job 1 Operation 1 duration 73 mins.
Job 3 Operation 1 duration 133 mins.
Job 4 Operation 1 duration 212 mins.
Job 5 Operation 1 duration 66 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 184 mins.
Job 1 Operation 0 duration 330 mins.
Job 3 Operation 0 duration 162 mins.
Job 4 Operation 0 duration 325 mins.
Job 5 Operation 0 duration 301 mins.
Job 2 Operation 1 duration 229 mins.
Job 6 Operation 1 duration 10 mins.
Job 7 Operation 1 duration 187 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 50 -> 50
Job 4 Operation 0 on Machine 1 : 0 + 325 -> 325
Job 7 Operation 0 on Machine 0 : 50 + 110 -> 160
Job 4 Operation 1 on Machine 0 : 325 + 212 -> 537
Job 5 Operation 0 on Machine 1 : 325 + 301 -> 626
Job 5 Operation 1 on Machine 0 : 626 + 66 -> 692
Job 6 Operation 1 on Machine 1 : 626 + 10 -> 636
Job 3 Operation 0 on Machine 1 : 636 + 162 -> 798
Job 2 Operation 0 on Machine 0 : 692 + 288 -> 980
Job 0 Operation 0 on Machine 1 : 798 + 184 -> 982
Job 3 Operation 1 on Machine 0 : 980 + 133 -> 1113
Job 7 Operation 1 on Machine 1 : 982 + 187 -> 1169
Job 0 Operation 1 on Machine 0 : 1113 + 139 -> 1252
Job 1 Operation 0 on Machine 1 : 1169 + 330 -> 1499
Job 1 Operation 1 on Machine 0 : 1499 + 73 -> 1572
Job 2 Operation 1 on Machine 1 : 1499 + 229 -> 1728
Makespan: 1728.0, as it is the maximum end completion time of Operation 1
| null |
|
7 | 3 |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 66 mins.
Operation 1 on Machine 0 duration 71 mins.
Operation 2 on Machine 1 duration 294 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 232 mins.
Operation 1 on Machine 0 duration 263 mins.
Operation 2 on Machine 2 duration 298 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 9 mins.
Operation 1 on Machine 1 duration 256 mins.
Operation 2 on Machine 2 duration 74 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 245 mins.
Operation 1 on Machine 1 duration 183 mins.
Operation 2 on Machine 2 duration 394 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 178 mins.
Operation 1 on Machine 2 duration 104 mins.
Operation 2 on Machine 0 duration 259 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 363 mins.
Operation 1 on Machine 1 duration 226 mins.
Operation 2 on Machine 0 duration 317 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 331 mins.
Operation 1 on Machine 1 duration 284 mins.
Operation 2 on Machine 0 duration 29 mins.
| null |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 9 mins.
Job 3 Operation 0 duration 245 mins.
Job 0 Operation 1 duration 71 mins.
Job 1 Operation 1 duration 263 mins.
Job 4 Operation 2 duration 259 mins.
Job 5 Operation 2 duration 317 mins.
Job 6 Operation 2 duration 29 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 232 mins.
Job 4 Operation 0 duration 178 mins.
Job 2 Operation 1 duration 256 mins.
Job 3 Operation 1 duration 183 mins.
Job 5 Operation 1 duration 226 mins.
Job 6 Operation 1 duration 284 mins.
Job 0 Operation 2 duration 294 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 66 mins.
Job 5 Operation 0 duration 363 mins.
Job 6 Operation 0 duration 331 mins.
Job 4 Operation 1 duration 104 mins.
Job 1 Operation 2 duration 298 mins.
Job 2 Operation 2 duration 74 mins.
Job 3 Operation 2 duration 394 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 9 -> 9
Job 1 Operation 0 on Machine 1 : 0 + 232 -> 232
Job 5 Operation 0 on Machine 2 : 0 + 363 -> 363
Job 3 Operation 0 on Machine 0 : 9 + 245 -> 254
Job 4 Operation 0 on Machine 1 : 232 + 178 -> 410
Job 1 Operation 1 on Machine 0 : 254 + 263 -> 517
Job 6 Operation 0 on Machine 2 : 363 + 331 -> 694
Job 3 Operation 1 on Machine 1 : 410 + 183 -> 593
Job 5 Operation 1 on Machine 1 : 593 + 226 -> 819
Job 3 Operation 2 on Machine 2 : 694 + 394 -> 1088
Job 5 Operation 2 on Machine 0 : 819 + 317 -> 1136
Job 6 Operation 1 on Machine 1 : 819 + 284 -> 1103
Job 0 Operation 0 on Machine 2 : 1088 + 66 -> 1154
Job 2 Operation 1 on Machine 1 : 1103 + 256 -> 1359
Job 6 Operation 2 on Machine 0 : 1136 + 29 -> 1165
Job 4 Operation 1 on Machine 2 : 1154 + 104 -> 1258
Job 0 Operation 1 on Machine 0 : 1165 + 71 -> 1236
Job 4 Operation 2 on Machine 0 : 1258 + 259 -> 1517
Job 1 Operation 2 on Machine 2 : 1258 + 298 -> 1556
Job 0 Operation 2 on Machine 1 : 1359 + 294 -> 1653
Job 2 Operation 2 on Machine 2 : 1556 + 74 -> 1630
Makespan: 1653.0, as it is the maximum end completion time of Operation 2
| 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 5 duration 23 mins.
Operation 1 on Machine 14 duration 76 mins.
Operation 2 on Machine 13 duration 105 mins.
Operation 3 on Machine 11 duration 6 mins.
Operation 4 on Machine 4 duration 54 mins.
Operation 5 on Machine 1 duration 188 mins.
Operation 6 on Machine 9 duration 26 mins.
Operation 7 on Machine 3 duration 8 mins.
Operation 8 on Machine 0 duration 109 mins.
Operation 9 on Machine 6 duration 97 mins.
Operation 10 on Machine 8 duration 198 mins.
Operation 11 on Machine 10 duration 34 mins.
Operation 12 on Machine 12 duration 25 mins.
Operation 13 on Machine 7 duration 184 mins.
Operation 14 on Machine 2 duration 24 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 12 duration 25 mins.
Operation 1 on Machine 13 duration 14 mins.
Operation 2 on Machine 10 duration 55 mins.
Operation 3 on Machine 8 duration 155 mins.
Operation 4 on Machine 1 duration 114 mins.
Operation 5 on Machine 14 duration 140 mins.
Operation 6 on Machine 0 duration 12 mins.
Operation 7 on Machine 6 duration 33 mins.
Operation 8 on Machine 11 duration 107 mins.
Operation 9 on Machine 9 duration 129 mins.
Operation 10 on Machine 4 duration 24 mins.
Operation 11 on Machine 7 duration 152 mins.
Operation 12 on Machine 2 duration 17 mins.
Operation 13 on Machine 3 duration 66 mins.
Operation 14 on Machine 5 duration 180 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 148 mins.
Operation 1 on Machine 6 duration 159 mins.
Operation 2 on Machine 12 duration 85 mins.
Operation 3 on Machine 2 duration 81 mins.
Operation 4 on Machine 0 duration 131 mins.
Operation 5 on Machine 5 duration 84 mins.
Operation 6 on Machine 8 duration 108 mins.
Operation 7 on Machine 13 duration 99 mins.
Operation 8 on Machine 14 duration 36 mins.
Operation 9 on Machine 10 duration 91 mins.
Operation 10 on Machine 11 duration 26 mins.
Operation 11 on Machine 4 duration 198 mins.
Operation 12 on Machine 9 duration 111 mins.
Operation 13 on Machine 1 duration 134 mins.
Operation 14 on Machine 7 duration 158 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 40 mins.
Operation 1 on Machine 13 duration 198 mins.
Operation 2 on Machine 0 duration 131 mins.
Operation 3 on Machine 6 duration 53 mins.
Operation 4 on Machine 5 duration 198 mins.
Operation 5 on Machine 7 duration 114 mins.
Operation 6 on Machine 4 duration 101 mins.
Operation 7 on Machine 14 duration 23 mins.
Operation 8 on Machine 8 duration 148 mins.
Operation 9 on Machine 12 duration 14 mins.
Operation 10 on Machine 9 duration 175 mins.
Operation 11 on Machine 10 duration 111 mins.
Operation 12 on Machine 1 duration 158 mins.
Operation 13 on Machine 11 duration 183 mins.
Operation 14 on Machine 2 duration 87 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 12 duration 165 mins.
Operation 1 on Machine 8 duration 181 mins.
Operation 2 on Machine 14 duration 192 mins.
Operation 3 on Machine 7 duration 192 mins.
Operation 4 on Machine 3 duration 58 mins.
Operation 5 on Machine 13 duration 123 mins.
Operation 6 on Machine 4 duration 107 mins.
Operation 7 on Machine 11 duration 43 mins.
Operation 8 on Machine 1 duration 107 mins.
Operation 9 on Machine 9 duration 21 mins.
Operation 10 on Machine 5 duration 94 mins.
Operation 11 on Machine 10 duration 73 mins.
Operation 12 on Machine 0 duration 122 mins.
Operation 13 on Machine 6 duration 73 mins.
Operation 14 on Machine 2 duration 31 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 65 mins.
Operation 1 on Machine 13 duration 118 mins.
Operation 2 on Machine 1 duration 91 mins.
Operation 3 on Machine 10 duration 108 mins.
Operation 4 on Machine 4 duration 152 mins.
Operation 5 on Machine 7 duration 194 mins.
Operation 6 on Machine 2 duration 1 mins.
Operation 7 on Machine 5 duration 41 mins.
Operation 8 on Machine 8 duration 106 mins.
Operation 9 on Machine 9 duration 112 mins.
Operation 10 on Machine 6 duration 38 mins.
Operation 11 on Machine 0 duration 105 mins.
Operation 12 on Machine 14 duration 64 mins.
Operation 13 on Machine 12 duration 109 mins.
Operation 14 on Machine 11 duration 130 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 11 duration 134 mins.
Operation 1 on Machine 3 duration 186 mins.
Operation 2 on Machine 2 duration 131 mins.
Operation 3 on Machine 7 duration 178 mins.
Operation 4 on Machine 12 duration 53 mins.
Operation 5 on Machine 8 duration 127 mins.
Operation 6 on Machine 1 duration 77 mins.
Operation 7 on Machine 4 duration 125 mins.
Operation 8 on Machine 9 duration 172 mins.
Operation 9 on Machine 0 duration 12 mins.
Operation 10 on Machine 6 duration 167 mins.
Operation 11 on Machine 10 duration 139 mins.
Operation 12 on Machine 14 duration 9 mins.
Operation 13 on Machine 5 duration 36 mins.
Operation 14 on Machine 13 duration 166 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 55 mins.
Operation 1 on Machine 14 duration 17 mins.
Operation 2 on Machine 12 duration 126 mins.
Operation 3 on Machine 13 duration 66 mins.
Operation 4 on Machine 9 duration 178 mins.
Operation 5 on Machine 8 duration 101 mins.
Operation 6 on Machine 6 duration 26 mins.
Operation 7 on Machine 10 duration 21 mins.
Operation 8 on Machine 0 duration 54 mins.
Operation 9 on Machine 1 duration 54 mins.
Operation 10 on Machine 11 duration 158 mins.
Operation 11 on Machine 7 duration 71 mins.
Operation 12 on Machine 3 duration 88 mins.
Operation 13 on Machine 4 duration 106 mins.
Operation 14 on Machine 5 duration 19 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 9 duration 120 mins.
Operation 1 on Machine 11 duration 55 mins.
Operation 2 on Machine 6 duration 51 mins.
Operation 3 on Machine 0 duration 36 mins.
Operation 4 on Machine 12 duration 173 mins.
Operation 5 on Machine 5 duration 146 mins.
Operation 6 on Machine 8 duration 111 mins.
Operation 7 on Machine 3 duration 21 mins.
Operation 8 on Machine 13 duration 98 mins.
Operation 9 on Machine 14 duration 144 mins.
Operation 10 on Machine 1 duration 172 mins.
Operation 11 on Machine 10 duration 176 mins.
Operation 12 on Machine 2 duration 60 mins.
Operation 13 on Machine 4 duration 161 mins.
Operation 14 on Machine 7 duration 187 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 8 duration 138 mins.
Operation 1 on Machine 0 duration 175 mins.
Operation 2 on Machine 13 duration 72 mins.
Operation 3 on Machine 3 duration 52 mins.
Operation 4 on Machine 10 duration 54 mins.
Operation 5 on Machine 4 duration 88 mins.
Operation 6 on Machine 2 duration 132 mins.
Operation 7 on Machine 1 duration 117 mins.
Operation 8 on Machine 14 duration 170 mins.
Operation 9 on Machine 7 duration 137 mins.
Operation 10 on Machine 11 duration 81 mins.
Operation 11 on Machine 6 duration 181 mins.
Operation 12 on Machine 12 duration 158 mins.
Operation 13 on Machine 9 duration 115 mins.
Operation 14 on Machine 5 duration 72 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 0 duration 133 mins.
Operation 1 on Machine 4 duration 132 mins.
Operation 2 on Machine 1 duration 46 mins.
Operation 3 on Machine 10 duration 128 mins.
Operation 4 on Machine 8 duration 31 mins.
Operation 5 on Machine 11 duration 174 mins.
Operation 6 on Machine 6 duration 20 mins.
Operation 7 on Machine 2 duration 88 mins.
Operation 8 on Machine 5 duration 28 mins.
Operation 9 on Machine 14 duration 181 mins.
Operation 10 on Machine 12 duration 168 mins.
Operation 11 on Machine 3 duration 75 mins.
Operation 12 on Machine 9 duration 27 mins.
Operation 13 on Machine 7 duration 52 mins.
Operation 14 on Machine 13 duration 193 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 5 duration 36 mins.
Operation 1 on Machine 4 duration 67 mins.
Operation 2 on Machine 0 duration 118 mins.
Operation 3 on Machine 2 duration 151 mins.
Operation 4 on Machine 9 duration 180 mins.
Operation 5 on Machine 14 duration 92 mins.
Operation 6 on Machine 13 duration 79 mins.
Operation 7 on Machine 3 duration 127 mins.
Operation 8 on Machine 7 duration 100 mins.
Operation 9 on Machine 11 duration 141 mins.
Operation 10 on Machine 6 duration 27 mins.
Operation 11 on Machine 8 duration 141 mins.
Operation 12 on Machine 10 duration 28 mins.
Operation 13 on Machine 1 duration 65 mins.
Operation 14 on Machine 12 duration 129 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 12 duration 49 mins.
Operation 1 on Machine 2 duration 124 mins.
Operation 2 on Machine 5 duration 72 mins.
Operation 3 on Machine 13 duration 2 mins.
Operation 4 on Machine 8 duration 165 mins.
Operation 5 on Machine 0 duration 17 mins.
Operation 6 on Machine 4 duration 172 mins.
Operation 7 on Machine 10 duration 171 mins.
Operation 8 on Machine 14 duration 191 mins.
Operation 9 on Machine 1 duration 8 mins.
Operation 10 on Machine 6 duration 164 mins.
Operation 11 on Machine 9 duration 179 mins.
Operation 12 on Machine 7 duration 70 mins.
Operation 13 on Machine 11 duration 178 mins.
Operation 14 on Machine 3 duration 43 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 13 duration 104 mins.
Operation 1 on Machine 11 duration 123 mins.
Operation 2 on Machine 7 duration 51 mins.
Operation 3 on Machine 3 duration 125 mins.
Operation 4 on Machine 14 duration 130 mins.
Operation 5 on Machine 12 duration 167 mins.
Operation 6 on Machine 2 duration 122 mins.
Operation 7 on Machine 0 duration 105 mins.
Operation 8 on Machine 8 duration 88 mins.
Operation 9 on Machine 5 duration 122 mins.
Operation 10 on Machine 1 duration 128 mins.
Operation 11 on Machine 4 duration 37 mins.
Operation 12 on Machine 9 duration 24 mins.
Operation 13 on Machine 6 duration 98 mins.
Operation 14 on Machine 10 duration 181 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 1 duration 77 mins.
Operation 1 on Machine 4 duration 85 mins.
Operation 2 on Machine 14 duration 57 mins.
Operation 3 on Machine 12 duration 57 mins.
Operation 4 on Machine 13 duration 100 mins.
Operation 5 on Machine 0 duration 64 mins.
Operation 6 on Machine 7 duration 136 mins.
Operation 7 on Machine 8 duration 29 mins.
Operation 8 on Machine 11 duration 119 mins.
Operation 9 on Machine 6 duration 153 mins.
Operation 10 on Machine 9 duration 192 mins.
Operation 11 on Machine 3 duration 94 mins.
Operation 12 on Machine 2 duration 33 mins.
Operation 13 on Machine 5 duration 114 mins.
Operation 14 on Machine 10 duration 2 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 0 duration 85 mins.
Operation 1 on Machine 5 duration 141 mins.
Operation 2 on Machine 7 duration 175 mins.
Operation 3 on Machine 2 duration 6 mins.
Operation 4 on Machine 14 duration 119 mins.
Operation 5 on Machine 6 duration 160 mins.
Operation 6 on Machine 12 duration 20 mins.
Operation 7 on Machine 11 duration 64 mins.
Operation 8 on Machine 1 duration 192 mins.
Operation 9 on Machine 13 duration 8 mins.
Operation 10 on Machine 9 duration 125 mins.
Operation 11 on Machine 10 duration 90 mins.
Operation 12 on Machine 8 duration 178 mins.
Operation 13 on Machine 4 duration 151 mins.
Operation 14 on Machine 3 duration 129 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 9 duration 148 mins.
Operation 1 on Machine 3 duration 4 mins.
Operation 2 on Machine 12 duration 141 mins.
Operation 3 on Machine 6 duration 163 mins.
Operation 4 on Machine 11 duration 33 mins.
Operation 5 on Machine 10 duration 82 mins.
Operation 6 on Machine 4 duration 176 mins.
Operation 7 on Machine 13 duration 57 mins.
Operation 8 on Machine 0 duration 179 mins.
Operation 9 on Machine 8 duration 187 mins.
Operation 10 on Machine 14 duration 46 mins.
Operation 11 on Machine 1 duration 89 mins.
Operation 12 on Machine 7 duration 134 mins.
Operation 13 on Machine 2 duration 176 mins.
Operation 14 on Machine 5 duration 30 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 8 duration 38 mins.
Operation 1 on Machine 1 duration 13 mins.
Operation 2 on Machine 4 duration 130 mins.
Operation 3 on Machine 7 duration 167 mins.
Operation 4 on Machine 6 duration 111 mins.
Operation 5 on Machine 0 duration 115 mins.
Operation 6 on Machine 14 duration 125 mins.
Operation 7 on Machine 2 duration 91 mins.
Operation 8 on Machine 5 duration 83 mins.
Operation 9 on Machine 9 duration 120 mins.
Operation 10 on Machine 11 duration 48 mins.
Operation 11 on Machine 13 duration 13 mins.
Operation 12 on Machine 12 duration 150 mins.
Operation 13 on Machine 10 duration 14 mins.
Operation 14 on Machine 3 duration 187 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 9 duration 43 mins.
Operation 1 on Machine 2 duration 125 mins.
Operation 2 on Machine 10 duration 74 mins.
Operation 3 on Machine 3 duration 12 mins.
Operation 4 on Machine 13 duration 168 mins.
Operation 5 on Machine 11 duration 69 mins.
Operation 6 on Machine 7 duration 191 mins.
Operation 7 on Machine 0 duration 190 mins.
Operation 8 on Machine 5 duration 34 mins.
Operation 9 on Machine 6 duration 125 mins.
Operation 10 on Machine 1 duration 64 mins.
Operation 11 on Machine 12 duration 52 mins.
Operation 12 on Machine 14 duration 183 mins.
Operation 13 on Machine 8 duration 30 mins.
Operation 14 on Machine 4 duration 43 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 6 duration 4 mins.
Operation 1 on Machine 13 duration 176 mins.
Operation 2 on Machine 4 duration 122 mins.
Operation 3 on Machine 0 duration 195 mins.
Operation 4 on Machine 7 duration 63 mins.
Operation 5 on Machine 5 duration 109 mins.
Operation 6 on Machine 14 duration 140 mins.
Operation 7 on Machine 10 duration 153 mins.
Operation 8 on Machine 8 duration 193 mins.
Operation 9 on Machine 9 duration 42 mins.
Operation 10 on Machine 11 duration 133 mins.
Operation 11 on Machine 3 duration 72 mins.
Operation 12 on Machine 12 duration 125 mins.
Operation 13 on Machine 2 duration 158 mins.
Operation 14 on Machine 1 duration 22 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 10 Operation 0 duration 133 mins.
Job 15 Operation 0 duration 85 mins.
Job 9 Operation 1 duration 175 mins.
Job 3 Operation 2 duration 131 mins.
Job 11 Operation 2 duration 118 mins.
Job 8 Operation 3 duration 36 mins.
Job 19 Operation 3 duration 195 mins.
Job 2 Operation 4 duration 131 mins.
Job 12 Operation 5 duration 17 mins.
Job 14 Operation 5 duration 64 mins.
Job 17 Operation 5 duration 115 mins.
Job 1 Operation 6 duration 12 mins.
Job 13 Operation 7 duration 105 mins.
Job 18 Operation 7 duration 190 mins.
Job 0 Operation 8 duration 109 mins.
Job 7 Operation 8 duration 54 mins.
Job 16 Operation 8 duration 179 mins.
Job 6 Operation 9 duration 12 mins.
Job 5 Operation 11 duration 105 mins.
Job 4 Operation 12 duration 122 mins.
Machine 1 is used for the following Operations:
Job 14 Operation 0 duration 77 mins.
Job 17 Operation 1 duration 13 mins.
Job 5 Operation 2 duration 91 mins.
Job 10 Operation 2 duration 46 mins.
Job 1 Operation 4 duration 114 mins.
Job 0 Operation 5 duration 188 mins.
Job 6 Operation 6 duration 77 mins.
Job 9 Operation 7 duration 117 mins.
Job 4 Operation 8 duration 107 mins.
Job 15 Operation 8 duration 192 mins.
Job 7 Operation 9 duration 54 mins.
Job 12 Operation 9 duration 8 mins.
Job 8 Operation 10 duration 172 mins.
Job 13 Operation 10 duration 128 mins.
Job 18 Operation 10 duration 64 mins.
Job 16 Operation 11 duration 89 mins.
Job 3 Operation 12 duration 158 mins.
Job 2 Operation 13 duration 134 mins.
Job 11 Operation 13 duration 65 mins.
Job 19 Operation 14 duration 22 mins.
Machine 2 is used for the following Operations:
Job 7 Operation 0 duration 55 mins.
Job 12 Operation 1 duration 124 mins.
Job 18 Operation 1 duration 125 mins.
Job 6 Operation 2 duration 131 mins.
Job 2 Operation 3 duration 81 mins.
Job 11 Operation 3 duration 151 mins.
Job 15 Operation 3 duration 6 mins.
Job 5 Operation 6 duration 1 mins.
Job 9 Operation 6 duration 132 mins.
Job 13 Operation 6 duration 122 mins.
Job 10 Operation 7 duration 88 mins.
Job 17 Operation 7 duration 91 mins.
Job 1 Operation 12 duration 17 mins.
Job 8 Operation 12 duration 60 mins.
Job 14 Operation 12 duration 33 mins.
Job 16 Operation 13 duration 176 mins.
Job 19 Operation 13 duration 158 mins.
Job 0 Operation 14 duration 24 mins.
Job 3 Operation 14 duration 87 mins.
Job 4 Operation 14 duration 31 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 148 mins.
Job 3 Operation 0 duration 40 mins.
Job 5 Operation 0 duration 65 mins.
Job 6 Operation 1 duration 186 mins.
Job 16 Operation 1 duration 4 mins.
Job 9 Operation 3 duration 52 mins.
Job 13 Operation 3 duration 125 mins.
Job 18 Operation 3 duration 12 mins.
Job 4 Operation 4 duration 58 mins.
Job 0 Operation 7 duration 8 mins.
Job 8 Operation 7 duration 21 mins.
Job 11 Operation 7 duration 127 mins.
Job 10 Operation 11 duration 75 mins.
Job 14 Operation 11 duration 94 mins.
Job 19 Operation 11 duration 72 mins.
Job 7 Operation 12 duration 88 mins.
Job 1 Operation 13 duration 66 mins.
Job 12 Operation 14 duration 43 mins.
Job 15 Operation 14 duration 129 mins.
Job 17 Operation 14 duration 187 mins.
Machine 4 is used for the following Operations:
Job 10 Operation 1 duration 132 mins.
Job 11 Operation 1 duration 67 mins.
Job 14 Operation 1 duration 85 mins.
Job 17 Operation 2 duration 130 mins.
Job 19 Operation 2 duration 122 mins.
Job 0 Operation 4 duration 54 mins.
Job 5 Operation 4 duration 152 mins.
Job 9 Operation 5 duration 88 mins.
Job 3 Operation 6 duration 101 mins.
Job 4 Operation 6 duration 107 mins.
Job 12 Operation 6 duration 172 mins.
Job 16 Operation 6 duration 176 mins.
Job 6 Operation 7 duration 125 mins.
Job 1 Operation 10 duration 24 mins.
Job 2 Operation 11 duration 198 mins.
Job 13 Operation 11 duration 37 mins.
Job 7 Operation 13 duration 106 mins.
Job 8 Operation 13 duration 161 mins.
Job 15 Operation 13 duration 151 mins.
Job 18 Operation 14 duration 43 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 23 mins.
Job 11 Operation 0 duration 36 mins.
Job 15 Operation 1 duration 141 mins.
Job 12 Operation 2 duration 72 mins.
Job 3 Operation 4 duration 198 mins.
Job 2 Operation 5 duration 84 mins.
Job 8 Operation 5 duration 146 mins.
Job 19 Operation 5 duration 109 mins.
Job 5 Operation 7 duration 41 mins.
Job 10 Operation 8 duration 28 mins.
Job 17 Operation 8 duration 83 mins.
Job 18 Operation 8 duration 34 mins.
Job 13 Operation 9 duration 122 mins.
Job 4 Operation 10 duration 94 mins.
Job 6 Operation 13 duration 36 mins.
Job 14 Operation 13 duration 114 mins.
Job 1 Operation 14 duration 180 mins.
Job 7 Operation 14 duration 19 mins.
Job 9 Operation 14 duration 72 mins.
Job 16 Operation 14 duration 30 mins.
Machine 6 is used for the following Operations:
Job 19 Operation 0 duration 4 mins.
Job 2 Operation 1 duration 159 mins.
Job 8 Operation 2 duration 51 mins.
Job 3 Operation 3 duration 53 mins.
Job 16 Operation 3 duration 163 mins.
Job 17 Operation 4 duration 111 mins.
Job 15 Operation 5 duration 160 mins.
Job 7 Operation 6 duration 26 mins.
Job 10 Operation 6 duration 20 mins.
Job 1 Operation 7 duration 33 mins.
Job 0 Operation 9 duration 97 mins.
Job 14 Operation 9 duration 153 mins.
Job 18 Operation 9 duration 125 mins.
Job 5 Operation 10 duration 38 mins.
Job 6 Operation 10 duration 167 mins.
Job 11 Operation 10 duration 27 mins.
Job 12 Operation 10 duration 164 mins.
Job 9 Operation 11 duration 181 mins.
Job 4 Operation 13 duration 73 mins.
Job 13 Operation 13 duration 98 mins.
Machine 7 is used for the following Operations:
Job 13 Operation 2 duration 51 mins.
Job 15 Operation 2 duration 175 mins.
Job 4 Operation 3 duration 192 mins.
Job 6 Operation 3 duration 178 mins.
Job 17 Operation 3 duration 167 mins.
Job 19 Operation 4 duration 63 mins.
Job 3 Operation 5 duration 114 mins.
Job 5 Operation 5 duration 194 mins.
Job 14 Operation 6 duration 136 mins.
Job 18 Operation 6 duration 191 mins.
Job 11 Operation 8 duration 100 mins.
Job 9 Operation 9 duration 137 mins.
Job 1 Operation 11 duration 152 mins.
Job 7 Operation 11 duration 71 mins.
Job 12 Operation 12 duration 70 mins.
Job 16 Operation 12 duration 134 mins.
Job 0 Operation 13 duration 184 mins.
Job 10 Operation 13 duration 52 mins.
Job 2 Operation 14 duration 158 mins.
Job 8 Operation 14 duration 187 mins.
Machine 8 is used for the following Operations:
Job 9 Operation 0 duration 138 mins.
Job 17 Operation 0 duration 38 mins.
Job 4 Operation 1 duration 181 mins.
Job 1 Operation 3 duration 155 mins.
Job 10 Operation 4 duration 31 mins.
Job 12 Operation 4 duration 165 mins.
Job 6 Operation 5 duration 127 mins.
Job 7 Operation 5 duration 101 mins.
Job 2 Operation 6 duration 108 mins.
Job 8 Operation 6 duration 111 mins.
Job 14 Operation 7 duration 29 mins.
Job 3 Operation 8 duration 148 mins.
Job 5 Operation 8 duration 106 mins.
Job 13 Operation 8 duration 88 mins.
Job 19 Operation 8 duration 193 mins.
Job 16 Operation 9 duration 187 mins.
Job 0 Operation 10 duration 198 mins.
Job 11 Operation 11 duration 141 mins.
Job 15 Operation 12 duration 178 mins.
Job 18 Operation 13 duration 30 mins.
Machine 9 is used for the following Operations:
Job 8 Operation 0 duration 120 mins.
Job 16 Operation 0 duration 148 mins.
Job 18 Operation 0 duration 43 mins.
Job 7 Operation 4 duration 178 mins.
Job 11 Operation 4 duration 180 mins.
Job 0 Operation 6 duration 26 mins.
Job 6 Operation 8 duration 172 mins.
Job 1 Operation 9 duration 129 mins.
Job 4 Operation 9 duration 21 mins.
Job 5 Operation 9 duration 112 mins.
Job 17 Operation 9 duration 120 mins.
Job 19 Operation 9 duration 42 mins.
Job 3 Operation 10 duration 175 mins.
Job 14 Operation 10 duration 192 mins.
Job 15 Operation 10 duration 125 mins.
Job 12 Operation 11 duration 179 mins.
Job 2 Operation 12 duration 111 mins.
Job 10 Operation 12 duration 27 mins.
Job 13 Operation 12 duration 24 mins.
Job 9 Operation 13 duration 115 mins.
Machine 10 is used for the following Operations:
Job 1 Operation 2 duration 55 mins.
Job 18 Operation 2 duration 74 mins.
Job 5 Operation 3 duration 108 mins.
Job 10 Operation 3 duration 128 mins.
Job 9 Operation 4 duration 54 mins.
Job 16 Operation 5 duration 82 mins.
Job 7 Operation 7 duration 21 mins.
Job 12 Operation 7 duration 171 mins.
Job 19 Operation 7 duration 153 mins.
Job 2 Operation 9 duration 91 mins.
Job 0 Operation 11 duration 34 mins.
Job 3 Operation 11 duration 111 mins.
Job 4 Operation 11 duration 73 mins.
Job 6 Operation 11 duration 139 mins.
Job 8 Operation 11 duration 176 mins.
Job 15 Operation 11 duration 90 mins.
Job 11 Operation 12 duration 28 mins.
Job 17 Operation 13 duration 14 mins.
Job 13 Operation 14 duration 181 mins.
Job 14 Operation 14 duration 2 mins.
Machine 11 is used for the following Operations:
Job 6 Operation 0 duration 134 mins.
Job 8 Operation 1 duration 55 mins.
Job 13 Operation 1 duration 123 mins.
Job 0 Operation 3 duration 6 mins.
Job 16 Operation 4 duration 33 mins.
Job 10 Operation 5 duration 174 mins.
Job 18 Operation 5 duration 69 mins.
Job 4 Operation 7 duration 43 mins.
Job 15 Operation 7 duration 64 mins.
Job 1 Operation 8 duration 107 mins.
Job 14 Operation 8 duration 119 mins.
Job 11 Operation 9 duration 141 mins.
Job 2 Operation 10 duration 26 mins.
Job 7 Operation 10 duration 158 mins.
Job 9 Operation 10 duration 81 mins.
Job 17 Operation 10 duration 48 mins.
Job 19 Operation 10 duration 133 mins.
Job 3 Operation 13 duration 183 mins.
Job 12 Operation 13 duration 178 mins.
Job 5 Operation 14 duration 130 mins.
Machine 12 is used for the following Operations:
Job 1 Operation 0 duration 25 mins.
Job 4 Operation 0 duration 165 mins.
Job 12 Operation 0 duration 49 mins.
Job 2 Operation 2 duration 85 mins.
Job 7 Operation 2 duration 126 mins.
Job 16 Operation 2 duration 141 mins.
Job 14 Operation 3 duration 57 mins.
Job 6 Operation 4 duration 53 mins.
Job 8 Operation 4 duration 173 mins.
Job 13 Operation 5 duration 167 mins.
Job 15 Operation 6 duration 20 mins.
Job 3 Operation 9 duration 14 mins.
Job 10 Operation 10 duration 168 mins.
Job 18 Operation 11 duration 52 mins.
Job 0 Operation 12 duration 25 mins.
Job 9 Operation 12 duration 158 mins.
Job 17 Operation 12 duration 150 mins.
Job 19 Operation 12 duration 125 mins.
Job 5 Operation 13 duration 109 mins.
Job 11 Operation 14 duration 129 mins.
Machine 13 is used for the following Operations:
Job 13 Operation 0 duration 104 mins.
Job 1 Operation 1 duration 14 mins.
Job 3 Operation 1 duration 198 mins.
Job 5 Operation 1 duration 118 mins.
Job 19 Operation 1 duration 176 mins.
Job 0 Operation 2 duration 105 mins.
Job 9 Operation 2 duration 72 mins.
Job 7 Operation 3 duration 66 mins.
Job 12 Operation 3 duration 2 mins.
Job 14 Operation 4 duration 100 mins.
Job 18 Operation 4 duration 168 mins.
Job 4 Operation 5 duration 123 mins.
Job 11 Operation 6 duration 79 mins.
Job 2 Operation 7 duration 99 mins.
Job 16 Operation 7 duration 57 mins.
Job 8 Operation 8 duration 98 mins.
Job 15 Operation 9 duration 8 mins.
Job 17 Operation 11 duration 13 mins.
Job 6 Operation 14 duration 166 mins.
Job 10 Operation 14 duration 193 mins.
Machine 14 is used for the following Operations:
Job 0 Operation 1 duration 76 mins.
Job 7 Operation 1 duration 17 mins.
Job 4 Operation 2 duration 192 mins.
Job 14 Operation 2 duration 57 mins.
Job 13 Operation 4 duration 130 mins.
Job 15 Operation 4 duration 119 mins.
Job 1 Operation 5 duration 140 mins.
Job 11 Operation 5 duration 92 mins.
Job 17 Operation 6 duration 125 mins.
Job 19 Operation 6 duration 140 mins.
Job 3 Operation 7 duration 23 mins.
Job 2 Operation 8 duration 36 mins.
Job 9 Operation 8 duration 170 mins.
Job 12 Operation 8 duration 191 mins.
Job 8 Operation 9 duration 144 mins.
Job 10 Operation 9 duration 181 mins.
Job 16 Operation 10 duration 46 mins.
Job 5 Operation 12 duration 64 mins.
Job 6 Operation 12 duration 9 mins.
Job 18 Operation 12 duration 183 mins.
| null |
Solution:
Job 15 Operation 0 on Machine 0 : 0 + 85 -> 85
Job 14 Operation 0 on Machine 1 : 0 + 77 -> 77
Job 5 Operation 0 on Machine 3 : 0 + 65 -> 65
Job 11 Operation 0 on Machine 5 : 0 + 36 -> 36
Job 19 Operation 0 on Machine 6 : 0 + 4 -> 4
Job 17 Operation 0 on Machine 8 : 0 + 38 -> 38
Job 18 Operation 0 on Machine 9 : 0 + 43 -> 43
Job 12 Operation 0 on Machine 12 : 0 + 49 -> 49
Job 13 Operation 0 on Machine 13 : 0 + 104 -> 104
Job 11 Operation 1 on Machine 4 : 36 + 67 -> 103
Job 0 Operation 0 on Machine 5 : 36 + 23 -> 59
Job 9 Operation 0 on Machine 8 : 38 + 138 -> 176
Job 8 Operation 0 on Machine 9 : 43 + 120 -> 163
Job 12 Operation 1 on Machine 2 : 49 + 124 -> 173
Job 4 Operation 0 on Machine 12 : 49 + 165 -> 214
Job 0 Operation 1 on Machine 14 : 59 + 76 -> 135
Job 2 Operation 0 on Machine 3 : 65 + 148 -> 213
Job 17 Operation 1 on Machine 1 : 77 + 13 -> 90
Job 11 Operation 2 on Machine 0 : 103 + 118 -> 221
Job 14 Operation 1 on Machine 4 : 103 + 85 -> 188
Job 13 Operation 1 on Machine 11 : 104 + 123 -> 227
Job 5 Operation 1 on Machine 13 : 104 + 118 -> 222
Job 16 Operation 0 on Machine 9 : 163 + 148 -> 311
Job 18 Operation 1 on Machine 2 : 173 + 125 -> 298
Job 12 Operation 2 on Machine 5 : 173 + 72 -> 245
Job 17 Operation 2 on Machine 4 : 188 + 130 -> 318
Job 14 Operation 2 on Machine 14 : 188 + 57 -> 245
Job 3 Operation 0 on Machine 3 : 213 + 40 -> 253
Job 4 Operation 1 on Machine 8 : 214 + 181 -> 395
Job 1 Operation 0 on Machine 12 : 214 + 25 -> 239
Job 5 Operation 2 on Machine 1 : 222 + 91 -> 313
Job 19 Operation 1 on Machine 13 : 222 + 176 -> 398
Job 13 Operation 2 on Machine 7 : 227 + 51 -> 278
Job 8 Operation 1 on Machine 11 : 227 + 55 -> 282
Job 15 Operation 1 on Machine 5 : 245 + 141 -> 386
Job 14 Operation 3 on Machine 12 : 245 + 57 -> 302
Job 13 Operation 3 on Machine 3 : 278 + 125 -> 403
Job 8 Operation 2 on Machine 6 : 282 + 51 -> 333
Job 6 Operation 0 on Machine 11 : 282 + 134 -> 416
Job 7 Operation 0 on Machine 2 : 298 + 55 -> 353
Job 18 Operation 2 on Machine 10 : 298 + 74 -> 372
Job 17 Operation 3 on Machine 7 : 318 + 167 -> 485
Job 8 Operation 3 on Machine 0 : 333 + 36 -> 369
Job 2 Operation 1 on Machine 6 : 333 + 159 -> 492
Job 11 Operation 3 on Machine 2 : 353 + 151 -> 504
Job 7 Operation 1 on Machine 14 : 353 + 17 -> 370
Job 10 Operation 0 on Machine 0 : 369 + 133 -> 502
Job 8 Operation 4 on Machine 12 : 369 + 173 -> 542
Job 5 Operation 3 on Machine 10 : 372 + 108 -> 480
Job 19 Operation 2 on Machine 4 : 398 + 122 -> 520
Job 0 Operation 2 on Machine 13 : 398 + 105 -> 503
Job 18 Operation 3 on Machine 3 : 403 + 12 -> 415
Job 13 Operation 4 on Machine 14 : 403 + 130 -> 533
Job 16 Operation 1 on Machine 3 : 415 + 4 -> 419
Job 6 Operation 1 on Machine 3 : 419 + 186 -> 605
Job 15 Operation 2 on Machine 7 : 485 + 175 -> 660
Job 17 Operation 4 on Machine 6 : 492 + 111 -> 603
Job 0 Operation 3 on Machine 11 : 503 + 6 -> 509
Job 1 Operation 1 on Machine 13 : 503 + 14 -> 517
Job 11 Operation 4 on Machine 9 : 504 + 180 -> 684
Job 1 Operation 2 on Machine 10 : 517 + 55 -> 572
Job 12 Operation 3 on Machine 13 : 517 + 2 -> 519
Job 12 Operation 4 on Machine 8 : 519 + 165 -> 684
Job 14 Operation 4 on Machine 13 : 519 + 100 -> 619
Job 19 Operation 3 on Machine 0 : 520 + 195 -> 715
Job 10 Operation 1 on Machine 4 : 520 + 132 -> 652
Job 4 Operation 2 on Machine 14 : 533 + 192 -> 725
Job 8 Operation 5 on Machine 5 : 542 + 146 -> 688
Job 13 Operation 5 on Machine 12 : 542 + 167 -> 709
Job 3 Operation 1 on Machine 13 : 619 + 198 -> 817
Job 10 Operation 2 on Machine 1 : 652 + 46 -> 698
Job 5 Operation 4 on Machine 4 : 652 + 152 -> 804
Job 15 Operation 3 on Machine 2 : 660 + 6 -> 666
Job 8 Operation 6 on Machine 8 : 688 + 111 -> 799
Job 10 Operation 3 on Machine 10 : 698 + 128 -> 826
Job 13 Operation 6 on Machine 2 : 709 + 122 -> 831
Job 16 Operation 2 on Machine 12 : 709 + 141 -> 850
Job 12 Operation 5 on Machine 0 : 715 + 17 -> 732
Job 19 Operation 4 on Machine 7 : 715 + 63 -> 778
Job 15 Operation 4 on Machine 14 : 725 + 119 -> 844
Job 14 Operation 5 on Machine 0 : 732 + 64 -> 796
Job 19 Operation 5 on Machine 5 : 778 + 109 -> 887
Job 4 Operation 3 on Machine 7 : 778 + 192 -> 970
Job 8 Operation 7 on Machine 3 : 799 + 21 -> 820
Job 0 Operation 4 on Machine 4 : 804 + 54 -> 858
Job 8 Operation 8 on Machine 13 : 820 + 98 -> 918
Job 10 Operation 4 on Machine 8 : 826 + 31 -> 857
Job 13 Operation 7 on Machine 0 : 831 + 105 -> 936
Job 6 Operation 2 on Machine 2 : 831 + 131 -> 962
Job 16 Operation 3 on Machine 6 : 850 + 163 -> 1013
Job 7 Operation 2 on Machine 12 : 850 + 126 -> 976
Job 10 Operation 5 on Machine 11 : 857 + 174 -> 1031
Job 0 Operation 5 on Machine 1 : 858 + 188 -> 1046
Job 12 Operation 6 on Machine 4 : 858 + 172 -> 1030
Job 8 Operation 9 on Machine 14 : 918 + 144 -> 1062
Job 9 Operation 1 on Machine 0 : 936 + 175 -> 1111
Job 13 Operation 8 on Machine 8 : 936 + 88 -> 1024
Job 4 Operation 4 on Machine 3 : 970 + 58 -> 1028
Job 5 Operation 5 on Machine 7 : 970 + 194 -> 1164
Job 2 Operation 2 on Machine 12 : 976 + 85 -> 1061
Job 7 Operation 3 on Machine 13 : 976 + 66 -> 1042
Job 13 Operation 9 on Machine 5 : 1024 + 122 -> 1146
Job 1 Operation 3 on Machine 8 : 1024 + 155 -> 1179
Job 10 Operation 6 on Machine 6 : 1031 + 20 -> 1051
Job 16 Operation 4 on Machine 11 : 1031 + 33 -> 1064
Job 7 Operation 4 on Machine 9 : 1042 + 178 -> 1220
Job 4 Operation 5 on Machine 13 : 1042 + 123 -> 1165
Job 10 Operation 7 on Machine 2 : 1051 + 88 -> 1139
Job 15 Operation 5 on Machine 6 : 1051 + 160 -> 1211
Job 19 Operation 6 on Machine 14 : 1062 + 140 -> 1202
Job 16 Operation 5 on Machine 10 : 1064 + 82 -> 1146
Job 3 Operation 2 on Machine 0 : 1111 + 131 -> 1242
Job 13 Operation 10 on Machine 1 : 1146 + 128 -> 1274
Job 10 Operation 8 on Machine 5 : 1146 + 28 -> 1174
Job 5 Operation 6 on Machine 2 : 1164 + 1 -> 1165
Job 14 Operation 6 on Machine 7 : 1164 + 136 -> 1300
Job 2 Operation 3 on Machine 2 : 1165 + 81 -> 1246
Job 4 Operation 6 on Machine 4 : 1165 + 107 -> 1272
Job 9 Operation 2 on Machine 13 : 1165 + 72 -> 1237
Job 5 Operation 7 on Machine 5 : 1174 + 41 -> 1215
Job 19 Operation 7 on Machine 10 : 1202 + 153 -> 1355
Job 10 Operation 9 on Machine 14 : 1202 + 181 -> 1383
Job 15 Operation 6 on Machine 12 : 1211 + 20 -> 1231
Job 5 Operation 8 on Machine 8 : 1215 + 106 -> 1321
Job 0 Operation 6 on Machine 9 : 1220 + 26 -> 1246
Job 18 Operation 4 on Machine 13 : 1237 + 168 -> 1405
Job 3 Operation 3 on Machine 6 : 1242 + 53 -> 1295
Job 2 Operation 4 on Machine 0 : 1246 + 131 -> 1377
Job 0 Operation 7 on Machine 3 : 1246 + 8 -> 1254
Job 9 Operation 3 on Machine 3 : 1254 + 52 -> 1306
Job 4 Operation 7 on Machine 11 : 1272 + 43 -> 1315
Job 1 Operation 4 on Machine 1 : 1274 + 114 -> 1388
Job 13 Operation 11 on Machine 4 : 1274 + 37 -> 1311
Job 3 Operation 4 on Machine 5 : 1295 + 198 -> 1493
Job 6 Operation 3 on Machine 7 : 1300 + 178 -> 1478
Job 13 Operation 12 on Machine 9 : 1311 + 24 -> 1335
Job 15 Operation 7 on Machine 11 : 1315 + 64 -> 1379
Job 14 Operation 7 on Machine 8 : 1321 + 29 -> 1350
Job 13 Operation 13 on Machine 6 : 1335 + 98 -> 1433
Job 5 Operation 9 on Machine 9 : 1335 + 112 -> 1447
Job 19 Operation 8 on Machine 8 : 1355 + 193 -> 1548
Job 9 Operation 4 on Machine 10 : 1355 + 54 -> 1409
Job 17 Operation 5 on Machine 0 : 1377 + 115 -> 1492
Job 14 Operation 8 on Machine 11 : 1379 + 119 -> 1498
Job 15 Operation 8 on Machine 1 : 1388 + 192 -> 1580
Job 1 Operation 5 on Machine 14 : 1388 + 140 -> 1528
Job 9 Operation 5 on Machine 4 : 1409 + 88 -> 1497
Job 13 Operation 14 on Machine 10 : 1433 + 181 -> 1614
Job 5 Operation 10 on Machine 6 : 1447 + 38 -> 1485
Job 6 Operation 4 on Machine 12 : 1478 + 53 -> 1531
Job 2 Operation 5 on Machine 5 : 1493 + 84 -> 1577
Job 3 Operation 5 on Machine 7 : 1493 + 114 -> 1607
Job 9 Operation 6 on Machine 2 : 1497 + 132 -> 1629
Job 18 Operation 5 on Machine 11 : 1498 + 69 -> 1567
Job 1 Operation 6 on Machine 0 : 1528 + 12 -> 1540
Job 17 Operation 6 on Machine 14 : 1528 + 125 -> 1653
Job 10 Operation 10 on Machine 12 : 1531 + 168 -> 1699
Job 5 Operation 11 on Machine 0 : 1540 + 105 -> 1645
Job 1 Operation 7 on Machine 6 : 1540 + 33 -> 1573
Job 6 Operation 5 on Machine 8 : 1548 + 127 -> 1675
Job 19 Operation 9 on Machine 9 : 1548 + 42 -> 1590
Job 14 Operation 9 on Machine 6 : 1573 + 153 -> 1726
Job 1 Operation 8 on Machine 11 : 1573 + 107 -> 1680
Job 15 Operation 9 on Machine 13 : 1580 + 8 -> 1588
Job 15 Operation 10 on Machine 9 : 1590 + 125 -> 1715
Job 3 Operation 6 on Machine 4 : 1607 + 101 -> 1708
Job 18 Operation 6 on Machine 7 : 1607 + 191 -> 1798
Job 9 Operation 7 on Machine 1 : 1629 + 117 -> 1746
Job 0 Operation 8 on Machine 0 : 1645 + 109 -> 1754
Job 17 Operation 7 on Machine 2 : 1653 + 91 -> 1744
Job 5 Operation 12 on Machine 14 : 1653 + 64 -> 1717
Job 2 Operation 6 on Machine 8 : 1675 + 108 -> 1783
Job 19 Operation 10 on Machine 11 : 1680 + 133 -> 1813
Job 10 Operation 11 on Machine 3 : 1699 + 75 -> 1774
Job 16 Operation 6 on Machine 4 : 1708 + 176 -> 1884
Job 1 Operation 9 on Machine 9 : 1715 + 129 -> 1844
Job 15 Operation 11 on Machine 10 : 1715 + 90 -> 1805
Job 5 Operation 13 on Machine 12 : 1717 + 109 -> 1826
Job 3 Operation 7 on Machine 14 : 1717 + 23 -> 1740
Job 17 Operation 8 on Machine 5 : 1744 + 83 -> 1827
Job 8 Operation 10 on Machine 1 : 1746 + 172 -> 1918
Job 9 Operation 8 on Machine 14 : 1746 + 170 -> 1916
Job 0 Operation 9 on Machine 6 : 1754 + 97 -> 1851
Job 3 Operation 8 on Machine 8 : 1783 + 148 -> 1931
Job 2 Operation 7 on Machine 13 : 1783 + 99 -> 1882
Job 12 Operation 7 on Machine 10 : 1805 + 171 -> 1976
Job 19 Operation 11 on Machine 3 : 1813 + 72 -> 1885
Job 5 Operation 14 on Machine 11 : 1826 + 130 -> 1956
Job 17 Operation 9 on Machine 9 : 1844 + 120 -> 1964
Job 1 Operation 10 on Machine 4 : 1884 + 24 -> 1908
Job 16 Operation 7 on Machine 13 : 1884 + 57 -> 1941
Job 9 Operation 9 on Machine 7 : 1916 + 137 -> 2053
Job 2 Operation 8 on Machine 14 : 1916 + 36 -> 1952
Job 6 Operation 6 on Machine 1 : 1918 + 77 -> 1995
Job 7 Operation 5 on Machine 8 : 1931 + 101 -> 2032
Job 3 Operation 9 on Machine 12 : 1931 + 14 -> 1945
Job 16 Operation 8 on Machine 0 : 1941 + 179 -> 2120
Job 19 Operation 12 on Machine 12 : 1945 + 125 -> 2070
Job 11 Operation 5 on Machine 14 : 1952 + 92 -> 2044
Job 3 Operation 10 on Machine 9 : 1964 + 175 -> 2139
Job 17 Operation 10 on Machine 11 : 1964 + 48 -> 2012
Job 2 Operation 9 on Machine 10 : 1976 + 91 -> 2067
Job 4 Operation 8 on Machine 1 : 1995 + 107 -> 2102
Job 6 Operation 7 on Machine 4 : 1995 + 125 -> 2120
Job 17 Operation 11 on Machine 13 : 2012 + 13 -> 2025
Job 7 Operation 6 on Machine 6 : 2032 + 26 -> 2058
Job 11 Operation 6 on Machine 13 : 2044 + 79 -> 2123
Job 12 Operation 8 on Machine 14 : 2044 + 191 -> 2235
Job 1 Operation 11 on Machine 7 : 2053 + 152 -> 2205
Job 9 Operation 10 on Machine 11 : 2053 + 81 -> 2134
Job 7 Operation 7 on Machine 10 : 2067 + 21 -> 2088
Job 19 Operation 13 on Machine 2 : 2070 + 158 -> 2228
Job 17 Operation 12 on Machine 12 : 2070 + 150 -> 2220
Job 7 Operation 8 on Machine 0 : 2120 + 54 -> 2174
Job 16 Operation 9 on Machine 8 : 2120 + 187 -> 2307
Job 11 Operation 7 on Machine 3 : 2123 + 127 -> 2250
Job 9 Operation 11 on Machine 6 : 2134 + 181 -> 2315
Job 2 Operation 10 on Machine 11 : 2134 + 26 -> 2160
Job 4 Operation 9 on Machine 9 : 2139 + 21 -> 2160
Job 3 Operation 11 on Machine 10 : 2139 + 111 -> 2250
Job 2 Operation 11 on Machine 4 : 2160 + 198 -> 2358
Job 4 Operation 10 on Machine 5 : 2160 + 94 -> 2254
Job 10 Operation 12 on Machine 9 : 2160 + 27 -> 2187
Job 7 Operation 9 on Machine 1 : 2174 + 54 -> 2228
Job 6 Operation 8 on Machine 9 : 2187 + 172 -> 2359
Job 10 Operation 13 on Machine 7 : 2205 + 52 -> 2257
Job 19 Operation 14 on Machine 1 : 2228 + 22 -> 2250
Job 1 Operation 12 on Machine 2 : 2228 + 17 -> 2245
Job 7 Operation 10 on Machine 11 : 2228 + 158 -> 2386
Job 12 Operation 9 on Machine 1 : 2250 + 8 -> 2258
Job 1 Operation 13 on Machine 3 : 2250 + 66 -> 2316
Job 4 Operation 11 on Machine 10 : 2254 + 73 -> 2327
Job 11 Operation 8 on Machine 7 : 2257 + 100 -> 2357
Job 10 Operation 14 on Machine 13 : 2257 + 193 -> 2450
Job 0 Operation 10 on Machine 8 : 2307 + 198 -> 2505
Job 16 Operation 10 on Machine 14 : 2307 + 46 -> 2353
Job 12 Operation 10 on Machine 6 : 2315 + 164 -> 2479
Job 9 Operation 12 on Machine 12 : 2315 + 158 -> 2473
Job 1 Operation 14 on Machine 5 : 2316 + 180 -> 2496
Job 8 Operation 11 on Machine 10 : 2327 + 176 -> 2503
Job 16 Operation 11 on Machine 1 : 2353 + 89 -> 2442
Job 6 Operation 9 on Machine 0 : 2359 + 12 -> 2371
Job 2 Operation 12 on Machine 9 : 2359 + 111 -> 2470
Job 18 Operation 7 on Machine 0 : 2371 + 190 -> 2561
Job 7 Operation 11 on Machine 7 : 2386 + 71 -> 2457
Job 11 Operation 9 on Machine 11 : 2386 + 141 -> 2527
Job 7 Operation 12 on Machine 3 : 2457 + 88 -> 2545
Job 16 Operation 12 on Machine 7 : 2457 + 134 -> 2591
Job 2 Operation 13 on Machine 1 : 2470 + 134 -> 2604
Job 9 Operation 13 on Machine 9 : 2473 + 115 -> 2588
Job 6 Operation 10 on Machine 6 : 2479 + 167 -> 2646
Job 8 Operation 12 on Machine 2 : 2503 + 60 -> 2563
Job 17 Operation 13 on Machine 10 : 2503 + 14 -> 2517
Job 15 Operation 12 on Machine 8 : 2505 + 178 -> 2683
Job 0 Operation 11 on Machine 10 : 2517 + 34 -> 2551
Job 17 Operation 14 on Machine 3 : 2545 + 187 -> 2732
Job 7 Operation 13 on Machine 4 : 2545 + 106 -> 2651
Job 0 Operation 12 on Machine 12 : 2551 + 25 -> 2576
Job 4 Operation 12 on Machine 0 : 2561 + 122 -> 2683
Job 9 Operation 14 on Machine 5 : 2588 + 72 -> 2660
Job 12 Operation 11 on Machine 9 : 2588 + 179 -> 2767
Job 16 Operation 13 on Machine 2 : 2591 + 176 -> 2767
Job 3 Operation 12 on Machine 1 : 2604 + 158 -> 2762
Job 2 Operation 14 on Machine 7 : 2604 + 158 -> 2762
Job 11 Operation 10 on Machine 6 : 2646 + 27 -> 2673
Job 6 Operation 11 on Machine 10 : 2646 + 139 -> 2785
Job 18 Operation 8 on Machine 5 : 2660 + 34 -> 2694
Job 15 Operation 13 on Machine 4 : 2683 + 151 -> 2834
Job 11 Operation 11 on Machine 8 : 2683 + 141 -> 2824
Job 7 Operation 14 on Machine 5 : 2694 + 19 -> 2713
Job 18 Operation 9 on Machine 6 : 2694 + 125 -> 2819
Job 3 Operation 13 on Machine 11 : 2762 + 183 -> 2945
Job 12 Operation 12 on Machine 7 : 2767 + 70 -> 2837
Job 14 Operation 10 on Machine 9 : 2767 + 192 -> 2959
Job 6 Operation 12 on Machine 14 : 2785 + 9 -> 2794
Job 6 Operation 13 on Machine 5 : 2794 + 36 -> 2830
Job 18 Operation 10 on Machine 1 : 2819 + 64 -> 2883
Job 4 Operation 13 on Machine 6 : 2819 + 73 -> 2892
Job 11 Operation 12 on Machine 10 : 2824 + 28 -> 2852
Job 16 Operation 14 on Machine 5 : 2830 + 30 -> 2860
Job 6 Operation 14 on Machine 13 : 2830 + 166 -> 2996
Job 15 Operation 14 on Machine 3 : 2834 + 129 -> 2963
Job 8 Operation 13 on Machine 4 : 2834 + 161 -> 2995
Job 0 Operation 13 on Machine 7 : 2837 + 184 -> 3021
Job 11 Operation 13 on Machine 1 : 2883 + 65 -> 2948
Job 18 Operation 11 on Machine 12 : 2883 + 52 -> 2935
Job 4 Operation 14 on Machine 2 : 2892 + 31 -> 2923
Job 18 Operation 12 on Machine 14 : 2935 + 183 -> 3118
Job 3 Operation 14 on Machine 2 : 2945 + 87 -> 3032
Job 12 Operation 13 on Machine 11 : 2945 + 178 -> 3123
Job 11 Operation 14 on Machine 12 : 2948 + 129 -> 3077
Job 14 Operation 11 on Machine 3 : 2963 + 94 -> 3057
Job 8 Operation 14 on Machine 7 : 3021 + 187 -> 3208
Job 0 Operation 14 on Machine 2 : 3032 + 24 -> 3056
Job 14 Operation 12 on Machine 2 : 3057 + 33 -> 3090
Job 14 Operation 13 on Machine 5 : 3090 + 114 -> 3204
Job 18 Operation 13 on Machine 8 : 3118 + 30 -> 3148
Job 12 Operation 14 on Machine 3 : 3123 + 43 -> 3166
Job 18 Operation 14 on Machine 4 : 3148 + 43 -> 3191
Job 14 Operation 14 on Machine 10 : 3204 + 2 -> 3206
Makespan: 3208.0, as it is the maximum end completion time of Operation 14
| 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 190 mins.
Operation 1 on Machine 0 duration 237 mins.
Operation 2 on Machine 4 duration 167 mins.
Operation 3 on Machine 1 duration 236 mins.
Operation 4 on Machine 3 duration 10 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 202 mins.
Operation 1 on Machine 3 duration 45 mins.
Operation 2 on Machine 1 duration 273 mins.
Operation 3 on Machine 2 duration 71 mins.
Operation 4 on Machine 0 duration 9 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 155 mins.
Operation 1 on Machine 4 duration 179 mins.
Operation 2 on Machine 0 duration 26 mins.
Operation 3 on Machine 2 duration 159 mins.
Operation 4 on Machine 3 duration 183 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 88 mins.
Operation 1 on Machine 1 duration 17 mins.
Operation 2 on Machine 4 duration 135 mins.
Operation 3 on Machine 2 duration 84 mins.
Operation 4 on Machine 0 duration 66 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 101 mins.
Operation 1 on Machine 3 duration 115 mins.
Operation 2 on Machine 2 duration 187 mins.
Operation 3 on Machine 4 duration 180 mins.
Operation 4 on Machine 1 duration 84 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 4 Operation 0 duration 101 mins.
Job 0 Operation 1 duration 237 mins.
Job 2 Operation 2 duration 26 mins.
Job 1 Operation 4 duration 9 mins.
Job 3 Operation 4 duration 66 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 155 mins.
Job 3 Operation 1 duration 17 mins.
Job 1 Operation 2 duration 273 mins.
Job 0 Operation 3 duration 236 mins.
Job 4 Operation 4 duration 84 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 190 mins.
Job 4 Operation 2 duration 187 mins.
Job 1 Operation 3 duration 71 mins.
Job 2 Operation 3 duration 159 mins.
Job 3 Operation 3 duration 84 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 88 mins.
Job 1 Operation 1 duration 45 mins.
Job 4 Operation 1 duration 115 mins.
Job 0 Operation 4 duration 10 mins.
Job 2 Operation 4 duration 183 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 202 mins.
Job 2 Operation 1 duration 179 mins.
Job 0 Operation 2 duration 167 mins.
Job 3 Operation 2 duration 135 mins.
Job 4 Operation 3 duration 180 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 101 -> 101
Job 2 Operation 0 on Machine 1 : 0 + 155 -> 155
Job 0 Operation 0 on Machine 2 : 0 + 190 -> 190
Job 3 Operation 0 on Machine 3 : 0 + 88 -> 88
Job 1 Operation 0 on Machine 4 : 0 + 202 -> 202
Job 4 Operation 1 on Machine 3 : 101 + 115 -> 216
Job 3 Operation 1 on Machine 1 : 155 + 17 -> 172
Job 0 Operation 1 on Machine 0 : 190 + 237 -> 427
Job 2 Operation 1 on Machine 4 : 202 + 179 -> 381
Job 4 Operation 2 on Machine 2 : 216 + 187 -> 403
Job 1 Operation 1 on Machine 3 : 216 + 45 -> 261
Job 1 Operation 2 on Machine 1 : 261 + 273 -> 534
Job 2 Operation 2 on Machine 0 : 427 + 26 -> 453
Job 0 Operation 2 on Machine 4 : 427 + 167 -> 594
Job 2 Operation 3 on Machine 2 : 453 + 159 -> 612
Job 0 Operation 3 on Machine 1 : 594 + 236 -> 830
Job 3 Operation 2 on Machine 4 : 594 + 135 -> 729
Job 1 Operation 3 on Machine 2 : 612 + 71 -> 683
Job 2 Operation 4 on Machine 3 : 612 + 183 -> 795
Job 1 Operation 4 on Machine 0 : 683 + 9 -> 692
Job 3 Operation 3 on Machine 2 : 729 + 84 -> 813
Job 4 Operation 3 on Machine 4 : 729 + 180 -> 909
Job 3 Operation 4 on Machine 0 : 813 + 66 -> 879
Job 0 Operation 4 on Machine 3 : 830 + 10 -> 840
Job 4 Operation 4 on Machine 1 : 909 + 84 -> 993
Makespan: 993.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 3 |
Optimize schedule for 9 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 56 mins.
Operation 1 on Machine 0 duration 99 mins.
Operation 2 on Machine 1 duration 66 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 2 mins.
Operation 1 on Machine 2 duration 154 mins.
Operation 2 on Machine 1 duration 68 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 18 mins.
Operation 1 on Machine 0 duration 102 mins.
Operation 2 on Machine 2 duration 71 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 134 mins.
Operation 1 on Machine 1 duration 155 mins.
Operation 2 on Machine 2 duration 38 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 55 mins.
Operation 1 on Machine 2 duration 174 mins.
Operation 2 on Machine 1 duration 78 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 172 mins.
Operation 1 on Machine 2 duration 147 mins.
Operation 2 on Machine 0 duration 153 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 55 mins.
Operation 1 on Machine 2 duration 135 mins.
Operation 2 on Machine 0 duration 120 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 160 mins.
Operation 1 on Machine 2 duration 19 mins.
Operation 2 on Machine 1 duration 50 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 31 mins.
Operation 1 on Machine 2 duration 133 mins.
Operation 2 on Machine 0 duration 62 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 1 Operation 0 duration 2 mins.
Job 3 Operation 0 duration 134 mins.
Job 4 Operation 0 duration 55 mins.
Job 7 Operation 0 duration 160 mins.
Job 0 Operation 1 duration 99 mins.
Job 2 Operation 1 duration 102 mins.
Job 5 Operation 2 duration 153 mins.
Job 6 Operation 2 duration 120 mins.
Job 8 Operation 2 duration 62 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 18 mins.
Job 5 Operation 0 duration 172 mins.
Job 6 Operation 0 duration 55 mins.
Job 8 Operation 0 duration 31 mins.
Job 3 Operation 1 duration 155 mins.
Job 0 Operation 2 duration 66 mins.
Job 1 Operation 2 duration 68 mins.
Job 4 Operation 2 duration 78 mins.
Job 7 Operation 2 duration 50 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 56 mins.
Job 1 Operation 1 duration 154 mins.
Job 4 Operation 1 duration 174 mins.
Job 5 Operation 1 duration 147 mins.
Job 6 Operation 1 duration 135 mins.
Job 7 Operation 1 duration 19 mins.
Job 8 Operation 1 duration 133 mins.
Job 2 Operation 2 duration 71 mins.
Job 3 Operation 2 duration 38 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 2 -> 2
Job 8 Operation 0 on Machine 1 : 0 + 31 -> 31
Job 0 Operation 0 on Machine 2 : 0 + 56 -> 56
Job 7 Operation 0 on Machine 0 : 2 + 160 -> 162
Job 5 Operation 0 on Machine 1 : 31 + 172 -> 203
Job 8 Operation 1 on Machine 2 : 56 + 133 -> 189
Job 3 Operation 0 on Machine 0 : 162 + 134 -> 296
Job 7 Operation 1 on Machine 2 : 189 + 19 -> 208
Job 6 Operation 0 on Machine 1 : 203 + 55 -> 258
Job 5 Operation 1 on Machine 2 : 208 + 147 -> 355
Job 2 Operation 0 on Machine 1 : 258 + 18 -> 276
Job 4 Operation 0 on Machine 0 : 296 + 55 -> 351
Job 3 Operation 1 on Machine 1 : 296 + 155 -> 451
Job 5 Operation 2 on Machine 0 : 355 + 153 -> 508
Job 6 Operation 1 on Machine 2 : 355 + 135 -> 490
Job 7 Operation 2 on Machine 1 : 451 + 50 -> 501
Job 3 Operation 2 on Machine 2 : 490 + 38 -> 528
Job 6 Operation 2 on Machine 0 : 508 + 120 -> 628
Job 4 Operation 1 on Machine 2 : 528 + 174 -> 702
Job 0 Operation 1 on Machine 0 : 628 + 99 -> 727
Job 4 Operation 2 on Machine 1 : 702 + 78 -> 780
Job 1 Operation 1 on Machine 2 : 702 + 154 -> 856
Job 2 Operation 1 on Machine 0 : 727 + 102 -> 829
Job 0 Operation 2 on Machine 1 : 780 + 66 -> 846
Job 8 Operation 2 on Machine 0 : 829 + 62 -> 891
Job 1 Operation 2 on Machine 1 : 856 + 68 -> 924
Job 2 Operation 2 on Machine 2 : 856 + 71 -> 927
Makespan: 927.0, as it is the maximum end completion time of Operation 2
| 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 0 duration 96 mins.
Operation 1 on Machine 1 duration 129 mins.
Operation 2 on Machine 2 duration 184 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 235 mins.
Operation 1 on Machine 0 duration 247 mins.
Operation 2 on Machine 1 duration 233 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 141 mins.
Operation 1 on Machine 1 duration 222 mins.
Operation 2 on Machine 0 duration 12 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 146 mins.
Operation 1 on Machine 0 duration 64 mins.
Operation 2 on Machine 1 duration 22 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 116 mins.
Operation 1 on Machine 1 duration 159 mins.
Operation 2 on Machine 2 duration 212 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 174 mins.
Operation 1 on Machine 2 duration 235 mins.
Operation 2 on Machine 1 duration 74 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 83 mins.
Operation 1 on Machine 0 duration 43 mins.
Operation 2 on Machine 2 duration 6 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 211 mins.
Operation 1 on Machine 0 duration 231 mins.
Operation 2 on Machine 2 duration 64 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 99 mins.
Operation 1 on Machine 2 duration 105 mins.
Operation 2 on Machine 1 duration 11 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 0 Operation 0 duration 96 mins.
Job 4 Operation 0 duration 116 mins.
Job 5 Operation 0 duration 174 mins.
Job 8 Operation 0 duration 99 mins.
Job 1 Operation 1 duration 247 mins.
Job 3 Operation 1 duration 64 mins.
Job 6 Operation 1 duration 43 mins.
Job 7 Operation 1 duration 231 mins.
Job 2 Operation 2 duration 12 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 83 mins.
Job 7 Operation 0 duration 211 mins.
Job 0 Operation 1 duration 129 mins.
Job 2 Operation 1 duration 222 mins.
Job 4 Operation 1 duration 159 mins.
Job 1 Operation 2 duration 233 mins.
Job 3 Operation 2 duration 22 mins.
Job 5 Operation 2 duration 74 mins.
Job 8 Operation 2 duration 11 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 235 mins.
Job 2 Operation 0 duration 141 mins.
Job 3 Operation 0 duration 146 mins.
Job 5 Operation 1 duration 235 mins.
Job 8 Operation 1 duration 105 mins.
Job 0 Operation 2 duration 184 mins.
Job 4 Operation 2 duration 212 mins.
Job 6 Operation 2 duration 6 mins.
Job 7 Operation 2 duration 64 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 116 -> 116
Job 6 Operation 0 on Machine 1 : 0 + 83 -> 83
Job 1 Operation 0 on Machine 2 : 0 + 235 -> 235
Job 7 Operation 0 on Machine 1 : 83 + 211 -> 294
Job 8 Operation 0 on Machine 0 : 116 + 99 -> 215
Job 1 Operation 1 on Machine 0 : 235 + 247 -> 482
Job 8 Operation 1 on Machine 2 : 235 + 105 -> 340
Job 4 Operation 1 on Machine 1 : 294 + 159 -> 453
Job 2 Operation 0 on Machine 2 : 340 + 141 -> 481
Job 8 Operation 2 on Machine 1 : 453 + 11 -> 464
Job 4 Operation 2 on Machine 2 : 481 + 212 -> 693
Job 6 Operation 1 on Machine 0 : 482 + 43 -> 525
Job 1 Operation 2 on Machine 1 : 482 + 233 -> 715
Job 5 Operation 0 on Machine 0 : 525 + 174 -> 699
Job 6 Operation 2 on Machine 2 : 693 + 6 -> 699
Job 0 Operation 0 on Machine 0 : 699 + 96 -> 795
Job 5 Operation 1 on Machine 2 : 699 + 235 -> 934
Job 2 Operation 1 on Machine 1 : 715 + 222 -> 937
Job 3 Operation 0 on Machine 2 : 934 + 146 -> 1080
Job 2 Operation 2 on Machine 0 : 937 + 12 -> 949
Job 0 Operation 1 on Machine 1 : 937 + 129 -> 1066
Job 7 Operation 1 on Machine 0 : 949 + 231 -> 1180
Job 5 Operation 2 on Machine 1 : 1066 + 74 -> 1140
Job 0 Operation 2 on Machine 2 : 1080 + 184 -> 1264
Job 3 Operation 1 on Machine 0 : 1180 + 64 -> 1244
Job 3 Operation 2 on Machine 1 : 1244 + 22 -> 1266
Job 7 Operation 2 on Machine 2 : 1264 + 64 -> 1328
Makespan: 1328.0, as it is the maximum end completion time of Operation 2
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 10 duration 284 mins.
Operation 1 on Machine 4 duration 163 mins.
Operation 2 on Machine 1 duration 351 mins.
Operation 3 on Machine 11 duration 87 mins.
Operation 4 on Machine 2 duration 270 mins.
Operation 5 on Machine 6 duration 191 mins.
Operation 6 on Machine 0 duration 261 mins.
Operation 7 on Machine 9 duration 40 mins.
Operation 8 on Machine 5 duration 98 mins.
Operation 9 on Machine 7 duration 397 mins.
Operation 10 on Machine 8 duration 176 mins.
Operation 11 on Machine 3 duration 164 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 260 mins.
Operation 1 on Machine 3 duration 237 mins.
Operation 2 on Machine 1 duration 201 mins.
Operation 3 on Machine 0 duration 307 mins.
Operation 4 on Machine 10 duration 376 mins.
Operation 5 on Machine 5 duration 2 mins.
Operation 6 on Machine 7 duration 128 mins.
Operation 7 on Machine 4 duration 67 mins.
Operation 8 on Machine 8 duration 46 mins.
Operation 9 on Machine 2 duration 35 mins.
Operation 10 on Machine 9 duration 7 mins.
Operation 11 on Machine 11 duration 440 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 9 duration 265 mins.
Operation 1 on Machine 5 duration 217 mins.
Operation 2 on Machine 8 duration 231 mins.
Operation 3 on Machine 10 duration 306 mins.
Operation 4 on Machine 7 duration 277 mins.
Operation 5 on Machine 4 duration 323 mins.
Operation 6 on Machine 6 duration 82 mins.
Operation 7 on Machine 1 duration 115 mins.
Operation 8 on Machine 2 duration 183 mins.
Operation 9 on Machine 0 duration 32 mins.
Operation 10 on Machine 3 duration 83 mins.
Operation 11 on Machine 11 duration 241 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 159 mins.
Operation 1 on Machine 2 duration 334 mins.
Operation 2 on Machine 10 duration 213 mins.
Operation 3 on Machine 3 duration 247 mins.
Operation 4 on Machine 8 duration 444 mins.
Operation 5 on Machine 5 duration 412 mins.
Operation 6 on Machine 0 duration 243 mins.
Operation 7 on Machine 9 duration 374 mins.
Operation 8 on Machine 6 duration 413 mins.
Operation 9 on Machine 1 duration 415 mins.
Operation 10 on Machine 7 duration 233 mins.
Operation 11 on Machine 11 duration 193 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 259 mins.
Operation 1 on Machine 7 duration 342 mins.
Operation 2 on Machine 4 duration 7 mins.
Operation 3 on Machine 8 duration 448 mins.
Operation 4 on Machine 11 duration 330 mins.
Operation 5 on Machine 0 duration 166 mins.
Operation 6 on Machine 10 duration 23 mins.
Operation 7 on Machine 2 duration 339 mins.
Operation 8 on Machine 3 duration 188 mins.
Operation 9 on Machine 6 duration 296 mins.
Operation 10 on Machine 5 duration 202 mins.
Operation 11 on Machine 9 duration 417 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 295 mins.
Operation 1 on Machine 3 duration 404 mins.
Operation 2 on Machine 8 duration 217 mins.
Operation 3 on Machine 2 duration 255 mins.
Operation 4 on Machine 9 duration 394 mins.
Operation 5 on Machine 10 duration 418 mins.
Operation 6 on Machine 1 duration 354 mins.
Operation 7 on Machine 11 duration 111 mins.
Operation 8 on Machine 0 duration 150 mins.
Operation 9 on Machine 7 duration 105 mins.
Operation 10 on Machine 5 duration 14 mins.
Operation 11 on Machine 4 duration 412 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 42 mins.
Operation 1 on Machine 7 duration 203 mins.
Operation 2 on Machine 2 duration 389 mins.
Operation 3 on Machine 10 duration 140 mins.
Operation 4 on Machine 1 duration 204 mins.
Operation 5 on Machine 0 duration 6 mins.
Operation 6 on Machine 3 duration 428 mins.
Operation 7 on Machine 5 duration 199 mins.
Operation 8 on Machine 11 duration 432 mins.
Operation 9 on Machine 8 duration 424 mins.
Operation 10 on Machine 9 duration 143 mins.
Operation 11 on Machine 6 duration 148 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 8 duration 298 mins.
Operation 1 on Machine 7 duration 308 mins.
Operation 2 on Machine 10 duration 425 mins.
Operation 3 on Machine 2 duration 402 mins.
Operation 4 on Machine 4 duration 304 mins.
Operation 5 on Machine 11 duration 163 mins.
Operation 6 on Machine 1 duration 431 mins.
Operation 7 on Machine 6 duration 97 mins.
Operation 8 on Machine 5 duration 252 mins.
Operation 9 on Machine 3 duration 377 mins.
Operation 10 on Machine 9 duration 432 mins.
Operation 11 on Machine 0 duration 24 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 178 mins.
Operation 1 on Machine 1 duration 244 mins.
Operation 2 on Machine 5 duration 207 mins.
Operation 3 on Machine 8 duration 364 mins.
Operation 4 on Machine 10 duration 13 mins.
Operation 5 on Machine 11 duration 203 mins.
Operation 6 on Machine 3 duration 310 mins.
Operation 7 on Machine 4 duration 112 mins.
Operation 8 on Machine 9 duration 5 mins.
Operation 9 on Machine 0 duration 60 mins.
Operation 10 on Machine 7 duration 395 mins.
Operation 11 on Machine 6 duration 333 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 360 mins.
Operation 1 on Machine 3 duration 313 mins.
Operation 2 on Machine 2 duration 172 mins.
Operation 3 on Machine 8 duration 46 mins.
Operation 4 on Machine 9 duration 281 mins.
Operation 5 on Machine 10 duration 48 mins.
Operation 6 on Machine 5 duration 315 mins.
Operation 7 on Machine 6 duration 320 mins.
Operation 8 on Machine 7 duration 233 mins.
Operation 9 on Machine 4 duration 168 mins.
Operation 10 on Machine 0 duration 285 mins.
Operation 11 on Machine 11 duration 302 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 6 duration 72 mins.
Operation 1 on Machine 9 duration 122 mins.
Operation 2 on Machine 10 duration 80 mins.
Operation 3 on Machine 8 duration 219 mins.
Operation 4 on Machine 1 duration 278 mins.
Operation 5 on Machine 2 duration 216 mins.
Operation 6 on Machine 4 duration 380 mins.
Operation 7 on Machine 11 duration 212 mins.
Operation 8 on Machine 3 duration 122 mins.
Operation 9 on Machine 5 duration 108 mins.
Operation 10 on Machine 0 duration 70 mins.
Operation 11 on Machine 7 duration 189 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 6 duration 74 mins.
Operation 1 on Machine 10 duration 382 mins.
Operation 2 on Machine 0 duration 35 mins.
Operation 3 on Machine 1 duration 4 mins.
Operation 4 on Machine 11 duration 16 mins.
Operation 5 on Machine 5 duration 304 mins.
Operation 6 on Machine 7 duration 378 mins.
Operation 7 on Machine 2 duration 303 mins.
Operation 8 on Machine 3 duration 152 mins.
Operation 9 on Machine 9 duration 89 mins.
Operation 10 on Machine 4 duration 60 mins.
Operation 11 on Machine 8 duration 258 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 11 Operation 2 duration 35 mins.
Job 1 Operation 3 duration 307 mins.
Job 4 Operation 5 duration 166 mins.
Job 6 Operation 5 duration 6 mins.
Job 0 Operation 6 duration 261 mins.
Job 3 Operation 6 duration 243 mins.
Job 5 Operation 8 duration 150 mins.
Job 2 Operation 9 duration 32 mins.
Job 8 Operation 9 duration 60 mins.
Job 9 Operation 10 duration 285 mins.
Job 10 Operation 10 duration 70 mins.
Job 7 Operation 11 duration 24 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 259 mins.
Job 9 Operation 0 duration 360 mins.
Job 8 Operation 1 duration 244 mins.
Job 0 Operation 2 duration 351 mins.
Job 1 Operation 2 duration 201 mins.
Job 11 Operation 3 duration 4 mins.
Job 6 Operation 4 duration 204 mins.
Job 10 Operation 4 duration 278 mins.
Job 5 Operation 6 duration 354 mins.
Job 7 Operation 6 duration 431 mins.
Job 2 Operation 7 duration 115 mins.
Job 3 Operation 9 duration 415 mins.
Machine 2 is used for the following Operations:
Job 8 Operation 0 duration 178 mins.
Job 3 Operation 1 duration 334 mins.
Job 6 Operation 2 duration 389 mins.
Job 9 Operation 2 duration 172 mins.
Job 5 Operation 3 duration 255 mins.
Job 7 Operation 3 duration 402 mins.
Job 0 Operation 4 duration 270 mins.
Job 10 Operation 5 duration 216 mins.
Job 4 Operation 7 duration 339 mins.
Job 11 Operation 7 duration 303 mins.
Job 2 Operation 8 duration 183 mins.
Job 1 Operation 9 duration 35 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 237 mins.
Job 5 Operation 1 duration 404 mins.
Job 9 Operation 1 duration 313 mins.
Job 3 Operation 3 duration 247 mins.
Job 6 Operation 6 duration 428 mins.
Job 8 Operation 6 duration 310 mins.
Job 4 Operation 8 duration 188 mins.
Job 10 Operation 8 duration 122 mins.
Job 11 Operation 8 duration 152 mins.
Job 7 Operation 9 duration 377 mins.
Job 2 Operation 10 duration 83 mins.
Job 0 Operation 11 duration 164 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 159 mins.
Job 6 Operation 0 duration 42 mins.
Job 0 Operation 1 duration 163 mins.
Job 4 Operation 2 duration 7 mins.
Job 7 Operation 4 duration 304 mins.
Job 2 Operation 5 duration 323 mins.
Job 10 Operation 6 duration 380 mins.
Job 1 Operation 7 duration 67 mins.
Job 8 Operation 7 duration 112 mins.
Job 9 Operation 9 duration 168 mins.
Job 11 Operation 10 duration 60 mins.
Job 5 Operation 11 duration 412 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 1 duration 217 mins.
Job 8 Operation 2 duration 207 mins.
Job 1 Operation 5 duration 2 mins.
Job 3 Operation 5 duration 412 mins.
Job 11 Operation 5 duration 304 mins.
Job 9 Operation 6 duration 315 mins.
Job 6 Operation 7 duration 199 mins.
Job 0 Operation 8 duration 98 mins.
Job 7 Operation 8 duration 252 mins.
Job 10 Operation 9 duration 108 mins.
Job 4 Operation 10 duration 202 mins.
Job 5 Operation 10 duration 14 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 260 mins.
Job 5 Operation 0 duration 295 mins.
Job 10 Operation 0 duration 72 mins.
Job 11 Operation 0 duration 74 mins.
Job 0 Operation 5 duration 191 mins.
Job 2 Operation 6 duration 82 mins.
Job 7 Operation 7 duration 97 mins.
Job 9 Operation 7 duration 320 mins.
Job 3 Operation 8 duration 413 mins.
Job 4 Operation 9 duration 296 mins.
Job 6 Operation 11 duration 148 mins.
Job 8 Operation 11 duration 333 mins.
Machine 7 is used for the following Operations:
Job 4 Operation 1 duration 342 mins.
Job 6 Operation 1 duration 203 mins.
Job 7 Operation 1 duration 308 mins.
Job 2 Operation 4 duration 277 mins.
Job 1 Operation 6 duration 128 mins.
Job 11 Operation 6 duration 378 mins.
Job 9 Operation 8 duration 233 mins.
Job 0 Operation 9 duration 397 mins.
Job 5 Operation 9 duration 105 mins.
Job 3 Operation 10 duration 233 mins.
Job 8 Operation 10 duration 395 mins.
Job 10 Operation 11 duration 189 mins.
Machine 8 is used for the following Operations:
Job 7 Operation 0 duration 298 mins.
Job 2 Operation 2 duration 231 mins.
Job 5 Operation 2 duration 217 mins.
Job 4 Operation 3 duration 448 mins.
Job 8 Operation 3 duration 364 mins.
Job 9 Operation 3 duration 46 mins.
Job 10 Operation 3 duration 219 mins.
Job 3 Operation 4 duration 444 mins.
Job 1 Operation 8 duration 46 mins.
Job 6 Operation 9 duration 424 mins.
Job 0 Operation 10 duration 176 mins.
Job 11 Operation 11 duration 258 mins.
Machine 9 is used for the following Operations:
Job 2 Operation 0 duration 265 mins.
Job 10 Operation 1 duration 122 mins.
Job 5 Operation 4 duration 394 mins.
Job 9 Operation 4 duration 281 mins.
Job 0 Operation 7 duration 40 mins.
Job 3 Operation 7 duration 374 mins.
Job 8 Operation 8 duration 5 mins.
Job 11 Operation 9 duration 89 mins.
Job 1 Operation 10 duration 7 mins.
Job 6 Operation 10 duration 143 mins.
Job 7 Operation 10 duration 432 mins.
Job 4 Operation 11 duration 417 mins.
Machine 10 is used for the following Operations:
Job 0 Operation 0 duration 284 mins.
Job 11 Operation 1 duration 382 mins.
Job 3 Operation 2 duration 213 mins.
Job 7 Operation 2 duration 425 mins.
Job 10 Operation 2 duration 80 mins.
Job 2 Operation 3 duration 306 mins.
Job 6 Operation 3 duration 140 mins.
Job 1 Operation 4 duration 376 mins.
Job 8 Operation 4 duration 13 mins.
Job 5 Operation 5 duration 418 mins.
Job 9 Operation 5 duration 48 mins.
Job 4 Operation 6 duration 23 mins.
Machine 11 is used for the following Operations:
Job 0 Operation 3 duration 87 mins.
Job 4 Operation 4 duration 330 mins.
Job 11 Operation 4 duration 16 mins.
Job 7 Operation 5 duration 163 mins.
Job 8 Operation 5 duration 203 mins.
Job 5 Operation 7 duration 111 mins.
Job 10 Operation 7 duration 212 mins.
Job 6 Operation 8 duration 432 mins.
Job 1 Operation 11 duration 440 mins.
Job 2 Operation 11 duration 241 mins.
Job 3 Operation 11 duration 193 mins.
Job 9 Operation 11 duration 302 mins.
| null |
Solution:
Job 9 Operation 0 on Machine 1 : 0 + 360 -> 360
Job 8 Operation 0 on Machine 2 : 0 + 178 -> 178
Job 6 Operation 0 on Machine 4 : 0 + 42 -> 42
Job 11 Operation 0 on Machine 6 : 0 + 74 -> 74
Job 7 Operation 0 on Machine 8 : 0 + 298 -> 298
Job 2 Operation 0 on Machine 9 : 0 + 265 -> 265
Job 0 Operation 0 on Machine 10 : 0 + 284 -> 284
Job 3 Operation 0 on Machine 4 : 42 + 159 -> 201
Job 6 Operation 1 on Machine 7 : 42 + 203 -> 245
Job 1 Operation 0 on Machine 6 : 74 + 260 -> 334
Job 3 Operation 1 on Machine 2 : 201 + 334 -> 535
Job 2 Operation 1 on Machine 5 : 265 + 217 -> 482
Job 0 Operation 1 on Machine 4 : 284 + 163 -> 447
Job 11 Operation 1 on Machine 10 : 284 + 382 -> 666
Job 7 Operation 1 on Machine 7 : 298 + 308 -> 606
Job 10 Operation 0 on Machine 6 : 334 + 72 -> 406
Job 4 Operation 0 on Machine 1 : 360 + 259 -> 619
Job 9 Operation 1 on Machine 3 : 360 + 313 -> 673
Job 5 Operation 0 on Machine 6 : 406 + 295 -> 701
Job 10 Operation 1 on Machine 9 : 406 + 122 -> 528
Job 2 Operation 2 on Machine 8 : 482 + 231 -> 713
Job 8 Operation 1 on Machine 1 : 619 + 244 -> 863
Job 4 Operation 1 on Machine 7 : 619 + 342 -> 961
Job 11 Operation 2 on Machine 0 : 666 + 35 -> 701
Job 7 Operation 2 on Machine 10 : 666 + 425 -> 1091
Job 9 Operation 2 on Machine 2 : 673 + 172 -> 845
Job 1 Operation 1 on Machine 3 : 673 + 237 -> 910
Job 6 Operation 2 on Machine 2 : 845 + 389 -> 1234
Job 9 Operation 3 on Machine 8 : 845 + 46 -> 891
Job 11 Operation 3 on Machine 1 : 863 + 4 -> 867
Job 11 Operation 4 on Machine 11 : 867 + 16 -> 883
Job 11 Operation 5 on Machine 5 : 883 + 304 -> 1187
Job 9 Operation 4 on Machine 9 : 891 + 281 -> 1172
Job 1 Operation 2 on Machine 1 : 910 + 201 -> 1111
Job 5 Operation 1 on Machine 3 : 910 + 404 -> 1314
Job 4 Operation 2 on Machine 4 : 961 + 7 -> 968
Job 4 Operation 3 on Machine 8 : 968 + 448 -> 1416
Job 3 Operation 2 on Machine 10 : 1091 + 213 -> 1304
Job 1 Operation 3 on Machine 0 : 1111 + 307 -> 1418
Job 0 Operation 2 on Machine 1 : 1111 + 351 -> 1462
Job 8 Operation 2 on Machine 5 : 1187 + 207 -> 1394
Job 11 Operation 6 on Machine 7 : 1187 + 378 -> 1565
Job 7 Operation 3 on Machine 2 : 1234 + 402 -> 1636
Job 9 Operation 5 on Machine 10 : 1304 + 48 -> 1352
Job 3 Operation 3 on Machine 3 : 1314 + 247 -> 1561
Job 6 Operation 3 on Machine 10 : 1352 + 140 -> 1492
Job 9 Operation 6 on Machine 5 : 1394 + 315 -> 1709
Job 5 Operation 2 on Machine 8 : 1416 + 217 -> 1633
Job 0 Operation 3 on Machine 11 : 1462 + 87 -> 1549
Job 6 Operation 4 on Machine 1 : 1492 + 204 -> 1696
Job 1 Operation 4 on Machine 10 : 1492 + 376 -> 1868
Job 4 Operation 4 on Machine 11 : 1549 + 330 -> 1879
Job 3 Operation 4 on Machine 8 : 1633 + 444 -> 2077
Job 0 Operation 4 on Machine 2 : 1636 + 270 -> 1906
Job 7 Operation 4 on Machine 4 : 1636 + 304 -> 1940
Job 6 Operation 5 on Machine 0 : 1696 + 6 -> 1702
Job 6 Operation 6 on Machine 3 : 1702 + 428 -> 2130
Job 9 Operation 7 on Machine 6 : 1709 + 320 -> 2029
Job 1 Operation 5 on Machine 5 : 1868 + 2 -> 1870
Job 10 Operation 2 on Machine 10 : 1868 + 80 -> 1948
Job 1 Operation 6 on Machine 7 : 1870 + 128 -> 1998
Job 4 Operation 5 on Machine 0 : 1879 + 166 -> 2045
Job 5 Operation 3 on Machine 2 : 1906 + 255 -> 2161
Job 7 Operation 5 on Machine 11 : 1940 + 163 -> 2103
Job 1 Operation 7 on Machine 4 : 1998 + 67 -> 2065
Job 0 Operation 5 on Machine 6 : 2029 + 191 -> 2220
Job 9 Operation 8 on Machine 7 : 2029 + 233 -> 2262
Job 4 Operation 6 on Machine 10 : 2045 + 23 -> 2068
Job 2 Operation 3 on Machine 10 : 2068 + 306 -> 2374
Job 3 Operation 5 on Machine 5 : 2077 + 412 -> 2489
Job 1 Operation 8 on Machine 8 : 2077 + 46 -> 2123
Job 7 Operation 6 on Machine 1 : 2103 + 431 -> 2534
Job 8 Operation 3 on Machine 8 : 2123 + 364 -> 2487
Job 1 Operation 9 on Machine 2 : 2161 + 35 -> 2196
Job 4 Operation 7 on Machine 2 : 2196 + 339 -> 2535
Job 1 Operation 10 on Machine 9 : 2196 + 7 -> 2203
Job 5 Operation 4 on Machine 9 : 2203 + 394 -> 2597
Job 1 Operation 11 on Machine 11 : 2203 + 440 -> 2643
Job 0 Operation 6 on Machine 0 : 2220 + 261 -> 2481
Job 9 Operation 9 on Machine 4 : 2262 + 168 -> 2430
Job 2 Operation 4 on Machine 7 : 2374 + 277 -> 2651
Job 10 Operation 3 on Machine 8 : 2487 + 219 -> 2706
Job 8 Operation 4 on Machine 10 : 2487 + 13 -> 2500
Job 3 Operation 6 on Machine 0 : 2489 + 243 -> 2732
Job 6 Operation 7 on Machine 5 : 2489 + 199 -> 2688
Job 7 Operation 7 on Machine 6 : 2534 + 97 -> 2631
Job 11 Operation 7 on Machine 2 : 2535 + 303 -> 2838
Job 4 Operation 8 on Machine 3 : 2535 + 188 -> 2723
Job 0 Operation 7 on Machine 9 : 2597 + 40 -> 2637
Job 5 Operation 5 on Machine 10 : 2597 + 418 -> 3015
Job 8 Operation 5 on Machine 11 : 2643 + 203 -> 2846
Job 2 Operation 5 on Machine 4 : 2651 + 323 -> 2974
Job 0 Operation 8 on Machine 5 : 2688 + 98 -> 2786
Job 10 Operation 4 on Machine 1 : 2706 + 278 -> 2984
Job 4 Operation 9 on Machine 6 : 2723 + 296 -> 3019
Job 9 Operation 10 on Machine 0 : 2732 + 285 -> 3017
Job 3 Operation 7 on Machine 9 : 2732 + 374 -> 3106
Job 7 Operation 8 on Machine 5 : 2786 + 252 -> 3038
Job 0 Operation 9 on Machine 7 : 2786 + 397 -> 3183
Job 8 Operation 6 on Machine 3 : 2846 + 310 -> 3156
Job 6 Operation 8 on Machine 11 : 2846 + 432 -> 3278
Job 10 Operation 5 on Machine 2 : 2984 + 216 -> 3200
Job 5 Operation 6 on Machine 1 : 3015 + 354 -> 3369
Job 2 Operation 6 on Machine 6 : 3019 + 82 -> 3101
Job 4 Operation 10 on Machine 5 : 3038 + 202 -> 3240
Job 3 Operation 8 on Machine 6 : 3106 + 413 -> 3519
Job 7 Operation 9 on Machine 3 : 3156 + 377 -> 3533
Job 8 Operation 7 on Machine 4 : 3156 + 112 -> 3268
Job 10 Operation 6 on Machine 4 : 3268 + 380 -> 3648
Job 8 Operation 8 on Machine 9 : 3268 + 5 -> 3273
Job 8 Operation 9 on Machine 0 : 3273 + 60 -> 3333
Job 4 Operation 11 on Machine 9 : 3273 + 417 -> 3690
Job 6 Operation 9 on Machine 8 : 3278 + 424 -> 3702
Job 9 Operation 11 on Machine 11 : 3278 + 302 -> 3580
Job 8 Operation 10 on Machine 7 : 3333 + 395 -> 3728
Job 2 Operation 7 on Machine 1 : 3369 + 115 -> 3484
Job 2 Operation 8 on Machine 2 : 3484 + 183 -> 3667
Job 3 Operation 9 on Machine 1 : 3519 + 415 -> 3934
Job 11 Operation 8 on Machine 3 : 3533 + 152 -> 3685
Job 5 Operation 7 on Machine 11 : 3580 + 111 -> 3691
Job 2 Operation 9 on Machine 0 : 3667 + 32 -> 3699
Job 11 Operation 9 on Machine 9 : 3690 + 89 -> 3779
Job 10 Operation 7 on Machine 11 : 3691 + 212 -> 3903
Job 5 Operation 8 on Machine 0 : 3699 + 150 -> 3849
Job 2 Operation 10 on Machine 3 : 3699 + 83 -> 3782
Job 0 Operation 10 on Machine 8 : 3702 + 176 -> 3878
Job 8 Operation 11 on Machine 6 : 3728 + 333 -> 4061
Job 11 Operation 10 on Machine 4 : 3779 + 60 -> 3839
Job 6 Operation 10 on Machine 9 : 3779 + 143 -> 3922
Job 5 Operation 9 on Machine 7 : 3849 + 105 -> 3954
Job 11 Operation 11 on Machine 8 : 3878 + 258 -> 4136
Job 10 Operation 8 on Machine 3 : 3903 + 122 -> 4025
Job 2 Operation 11 on Machine 11 : 3903 + 241 -> 4144
Job 7 Operation 10 on Machine 9 : 3922 + 432 -> 4354
Job 5 Operation 10 on Machine 5 : 3954 + 14 -> 3968
Job 3 Operation 10 on Machine 7 : 3954 + 233 -> 4187
Job 5 Operation 11 on Machine 4 : 3968 + 412 -> 4380
Job 0 Operation 11 on Machine 3 : 4025 + 164 -> 4189
Job 10 Operation 9 on Machine 5 : 4025 + 108 -> 4133
Job 6 Operation 11 on Machine 6 : 4061 + 148 -> 4209
Job 10 Operation 10 on Machine 0 : 4133 + 70 -> 4203
Job 3 Operation 11 on Machine 11 : 4187 + 193 -> 4380
Job 10 Operation 11 on Machine 7 : 4203 + 189 -> 4392
Job 7 Operation 11 on Machine 0 : 4354 + 24 -> 4378
Makespan: 4392.0, as it is the maximum end completion time of Operation 11
| 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 135 mins.
Operation 1 on Machine 1 duration 94 mins.
Operation 2 on Machine 4 duration 125 mins.
Operation 3 on Machine 3 duration 135 mins.
Operation 4 on Machine 0 duration 56 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 127 mins.
Operation 1 on Machine 3 duration 112 mins.
Operation 2 on Machine 2 duration 18 mins.
Operation 3 on Machine 4 duration 20 mins.
Operation 4 on Machine 1 duration 125 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 56 mins.
Operation 1 on Machine 0 duration 65 mins.
Operation 2 on Machine 3 duration 69 mins.
Operation 3 on Machine 4 duration 41 mins.
Operation 4 on Machine 2 duration 16 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 52 mins.
Operation 1 on Machine 0 duration 6 mins.
Operation 2 on Machine 2 duration 85 mins.
Operation 3 on Machine 3 duration 68 mins.
Operation 4 on Machine 1 duration 106 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 32 mins.
Operation 1 on Machine 3 duration 75 mins.
Operation 2 on Machine 0 duration 44 mins.
Operation 3 on Machine 2 duration 22 mins.
Operation 4 on Machine 1 duration 17 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 88 mins.
Operation 1 on Machine 3 duration 127 mins.
Operation 2 on Machine 2 duration 118 mins.
Operation 3 on Machine 0 duration 104 mins.
Operation 4 on Machine 1 duration 88 mins.
| null |
Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 127 mins.
Job 2 Operation 1 duration 65 mins.
Job 3 Operation 1 duration 6 mins.
Job 4 Operation 2 duration 44 mins.
Job 5 Operation 3 duration 104 mins.
Job 0 Operation 4 duration 56 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 56 mins.
Job 0 Operation 1 duration 94 mins.
Job 1 Operation 4 duration 125 mins.
Job 3 Operation 4 duration 106 mins.
Job 4 Operation 4 duration 17 mins.
Job 5 Operation 4 duration 88 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 135 mins.
Job 1 Operation 2 duration 18 mins.
Job 3 Operation 2 duration 85 mins.
Job 5 Operation 2 duration 118 mins.
Job 4 Operation 3 duration 22 mins.
Job 2 Operation 4 duration 16 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 112 mins.
Job 4 Operation 1 duration 75 mins.
Job 5 Operation 1 duration 127 mins.
Job 2 Operation 2 duration 69 mins.
Job 0 Operation 3 duration 135 mins.
Job 3 Operation 3 duration 68 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 52 mins.
Job 4 Operation 0 duration 32 mins.
Job 5 Operation 0 duration 88 mins.
Job 0 Operation 2 duration 125 mins.
Job 1 Operation 3 duration 20 mins.
Job 2 Operation 3 duration 41 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 127 -> 127
Job 2 Operation 0 on Machine 1 : 0 + 56 -> 56
Job 0 Operation 0 on Machine 2 : 0 + 135 -> 135
Job 4 Operation 0 on Machine 4 : 0 + 32 -> 32
Job 4 Operation 1 on Machine 3 : 32 + 75 -> 107
Job 5 Operation 0 on Machine 4 : 32 + 88 -> 120
Job 3 Operation 0 on Machine 4 : 120 + 52 -> 172
Job 4 Operation 2 on Machine 0 : 127 + 44 -> 171
Job 1 Operation 1 on Machine 3 : 127 + 112 -> 239
Job 4 Operation 3 on Machine 2 : 171 + 22 -> 193
Job 3 Operation 1 on Machine 0 : 172 + 6 -> 178
Job 2 Operation 1 on Machine 0 : 178 + 65 -> 243
Job 4 Operation 4 on Machine 1 : 193 + 17 -> 210
Job 0 Operation 1 on Machine 1 : 210 + 94 -> 304
Job 1 Operation 2 on Machine 2 : 239 + 18 -> 257
Job 5 Operation 1 on Machine 3 : 239 + 127 -> 366
Job 3 Operation 2 on Machine 2 : 257 + 85 -> 342
Job 1 Operation 3 on Machine 4 : 257 + 20 -> 277
Job 1 Operation 4 on Machine 1 : 304 + 125 -> 429
Job 0 Operation 2 on Machine 4 : 304 + 125 -> 429
Job 5 Operation 2 on Machine 2 : 366 + 118 -> 484
Job 3 Operation 3 on Machine 3 : 366 + 68 -> 434
Job 3 Operation 4 on Machine 1 : 434 + 106 -> 540
Job 2 Operation 2 on Machine 3 : 434 + 69 -> 503
Job 5 Operation 3 on Machine 0 : 484 + 104 -> 588
Job 0 Operation 3 on Machine 3 : 503 + 135 -> 638
Job 2 Operation 3 on Machine 4 : 503 + 41 -> 544
Job 2 Operation 4 on Machine 2 : 544 + 16 -> 560
Job 5 Operation 4 on Machine 1 : 588 + 88 -> 676
Job 0 Operation 4 on Machine 0 : 638 + 56 -> 694
Makespan: 694.0, as it is the maximum end completion time of Operation 4
| 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 0 duration 169 mins.
Operation 1 on Machine 1 duration 27 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 126 mins.
Operation 1 on Machine 0 duration 159 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 183 mins.
Operation 1 on Machine 0 duration 183 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 149 mins.
Operation 1 on Machine 0 duration 116 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 226 mins.
Operation 1 on Machine 1 duration 134 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 151 mins.
Operation 1 on Machine 0 duration 219 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 167 mins.
Operation 1 on Machine 0 duration 149 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 148 mins.
Operation 1 on Machine 1 duration 23 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 0 Operation 0 duration 169 mins.
Job 4 Operation 0 duration 226 mins.
Job 7 Operation 0 duration 148 mins.
Job 1 Operation 1 duration 159 mins.
Job 2 Operation 1 duration 183 mins.
Job 3 Operation 1 duration 116 mins.
Job 5 Operation 1 duration 219 mins.
Job 6 Operation 1 duration 149 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 126 mins.
Job 2 Operation 0 duration 183 mins.
Job 3 Operation 0 duration 149 mins.
Job 5 Operation 0 duration 151 mins.
Job 6 Operation 0 duration 167 mins.
Job 0 Operation 1 duration 27 mins.
Job 4 Operation 1 duration 134 mins.
Job 7 Operation 1 duration 23 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 169 -> 169
Job 1 Operation 0 on Machine 1 : 0 + 126 -> 126
Job 4 Operation 0 on Machine 0 : 169 + 226 -> 395
Job 0 Operation 1 on Machine 1 : 169 + 27 -> 196
Job 5 Operation 0 on Machine 1 : 196 + 151 -> 347
Job 5 Operation 1 on Machine 0 : 395 + 219 -> 614
Job 4 Operation 1 on Machine 1 : 395 + 134 -> 529
Job 2 Operation 0 on Machine 1 : 529 + 183 -> 712
Job 7 Operation 0 on Machine 0 : 614 + 148 -> 762
Job 3 Operation 0 on Machine 1 : 712 + 149 -> 861
Job 2 Operation 1 on Machine 0 : 762 + 183 -> 945
Job 7 Operation 1 on Machine 1 : 861 + 23 -> 884
Job 6 Operation 0 on Machine 1 : 884 + 167 -> 1051
Job 3 Operation 1 on Machine 0 : 945 + 116 -> 1061
Job 6 Operation 1 on Machine 0 : 1061 + 149 -> 1210
Job 1 Operation 1 on Machine 0 : 1210 + 159 -> 1369
Makespan: 1369.0, as it is the maximum end completion time of Operation 1
| null |
|
9 | 7 |
Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 75 mins.
Operation 1 on Machine 2 duration 29 mins.
Operation 2 on Machine 0 duration 9 mins.
Operation 3 on Machine 1 duration 77 mins.
Operation 4 on Machine 3 duration 18 mins.
Operation 5 on Machine 4 duration 27 mins.
Operation 6 on Machine 6 duration 52 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 6 mins.
Operation 1 on Machine 5 duration 63 mins.
Operation 2 on Machine 0 duration 17 mins.
Operation 3 on Machine 1 duration 70 mins.
Operation 4 on Machine 6 duration 73 mins.
Operation 5 on Machine 4 duration 39 mins.
Operation 6 on Machine 2 duration 59 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 29 mins.
Operation 1 on Machine 6 duration 10 mins.
Operation 2 on Machine 1 duration 1 mins.
Operation 3 on Machine 2 duration 47 mins.
Operation 4 on Machine 4 duration 12 mins.
Operation 5 on Machine 3 duration 65 mins.
Operation 6 on Machine 5 duration 75 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 65 mins.
Operation 1 on Machine 5 duration 60 mins.
Operation 2 on Machine 6 duration 76 mins.
Operation 3 on Machine 4 duration 34 mins.
Operation 4 on Machine 2 duration 81 mins.
Operation 5 on Machine 1 duration 36 mins.
Operation 6 on Machine 3 duration 48 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 16 mins.
Operation 1 on Machine 3 duration 62 mins.
Operation 2 on Machine 4 duration 18 mins.
Operation 3 on Machine 2 duration 63 mins.
Operation 4 on Machine 1 duration 49 mins.
Operation 5 on Machine 6 duration 72 mins.
Operation 6 on Machine 5 duration 17 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 74 mins.
Operation 1 on Machine 1 duration 40 mins.
Operation 2 on Machine 3 duration 59 mins.
Operation 3 on Machine 5 duration 2 mins.
Operation 4 on Machine 4 duration 30 mins.
Operation 5 on Machine 2 duration 85 mins.
Operation 6 on Machine 6 duration 47 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 12 mins.
Operation 1 on Machine 4 duration 53 mins.
Operation 2 on Machine 0 duration 82 mins.
Operation 3 on Machine 3 duration 68 mins.
Operation 4 on Machine 6 duration 20 mins.
Operation 5 on Machine 5 duration 45 mins.
Operation 6 on Machine 1 duration 58 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 31 mins.
Operation 1 on Machine 6 duration 33 mins.
Operation 2 on Machine 4 duration 43 mins.
Operation 3 on Machine 3 duration 20 mins.
Operation 4 on Machine 2 duration 5 mins.
Operation 5 on Machine 5 duration 15 mins.
Operation 6 on Machine 1 duration 32 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 28 mins.
Operation 1 on Machine 1 duration 76 mins.
Operation 2 on Machine 2 duration 43 mins.
Operation 3 on Machine 4 duration 27 mins.
Operation 4 on Machine 6 duration 4 mins.
Operation 5 on Machine 5 duration 39 mins.
Operation 6 on Machine 3 duration 63 mins.
| null |
Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 29 mins.
Job 3 Operation 0 duration 65 mins.
Job 4 Operation 0 duration 16 mins.
Job 5 Operation 0 duration 74 mins.
Job 7 Operation 0 duration 31 mins.
Job 8 Operation 0 duration 28 mins.
Job 0 Operation 2 duration 9 mins.
Job 1 Operation 2 duration 17 mins.
Job 6 Operation 2 duration 82 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 1 duration 40 mins.
Job 8 Operation 1 duration 76 mins.
Job 2 Operation 2 duration 1 mins.
Job 0 Operation 3 duration 77 mins.
Job 1 Operation 3 duration 70 mins.
Job 4 Operation 4 duration 49 mins.
Job 3 Operation 5 duration 36 mins.
Job 6 Operation 6 duration 58 mins.
Job 7 Operation 6 duration 32 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 0 duration 12 mins.
Job 0 Operation 1 duration 29 mins.
Job 8 Operation 2 duration 43 mins.
Job 2 Operation 3 duration 47 mins.
Job 4 Operation 3 duration 63 mins.
Job 3 Operation 4 duration 81 mins.
Job 7 Operation 4 duration 5 mins.
Job 5 Operation 5 duration 85 mins.
Job 1 Operation 6 duration 59 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 6 mins.
Job 4 Operation 1 duration 62 mins.
Job 5 Operation 2 duration 59 mins.
Job 6 Operation 3 duration 68 mins.
Job 7 Operation 3 duration 20 mins.
Job 0 Operation 4 duration 18 mins.
Job 2 Operation 5 duration 65 mins.
Job 3 Operation 6 duration 48 mins.
Job 8 Operation 6 duration 63 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 1 duration 53 mins.
Job 4 Operation 2 duration 18 mins.
Job 7 Operation 2 duration 43 mins.
Job 3 Operation 3 duration 34 mins.
Job 8 Operation 3 duration 27 mins.
Job 2 Operation 4 duration 12 mins.
Job 5 Operation 4 duration 30 mins.
Job 0 Operation 5 duration 27 mins.
Job 1 Operation 5 duration 39 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 75 mins.
Job 1 Operation 1 duration 63 mins.
Job 3 Operation 1 duration 60 mins.
Job 5 Operation 3 duration 2 mins.
Job 6 Operation 5 duration 45 mins.
Job 7 Operation 5 duration 15 mins.
Job 8 Operation 5 duration 39 mins.
Job 2 Operation 6 duration 75 mins.
Job 4 Operation 6 duration 17 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 1 duration 10 mins.
Job 7 Operation 1 duration 33 mins.
Job 3 Operation 2 duration 76 mins.
Job 1 Operation 4 duration 73 mins.
Job 6 Operation 4 duration 20 mins.
Job 8 Operation 4 duration 4 mins.
Job 4 Operation 5 duration 72 mins.
Job 0 Operation 6 duration 52 mins.
Job 5 Operation 6 duration 47 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 28 -> 28
Job 6 Operation 0 on Machine 2 : 0 + 12 -> 12
Job 1 Operation 0 on Machine 3 : 0 + 6 -> 6
Job 1 Operation 1 on Machine 5 : 6 + 63 -> 69
Job 6 Operation 1 on Machine 4 : 12 + 53 -> 65
Job 3 Operation 0 on Machine 0 : 28 + 65 -> 93
Job 8 Operation 1 on Machine 1 : 28 + 76 -> 104
Job 4 Operation 0 on Machine 0 : 93 + 16 -> 109
Job 3 Operation 1 on Machine 5 : 93 + 60 -> 153
Job 8 Operation 2 on Machine 2 : 104 + 43 -> 147
Job 2 Operation 0 on Machine 0 : 109 + 29 -> 138
Job 4 Operation 1 on Machine 3 : 109 + 62 -> 171
Job 1 Operation 2 on Machine 0 : 138 + 17 -> 155
Job 2 Operation 1 on Machine 6 : 138 + 10 -> 148
Job 2 Operation 2 on Machine 1 : 148 + 1 -> 149
Job 2 Operation 3 on Machine 2 : 149 + 47 -> 196
Job 0 Operation 0 on Machine 5 : 153 + 75 -> 228
Job 3 Operation 2 on Machine 6 : 153 + 76 -> 229
Job 5 Operation 0 on Machine 0 : 155 + 74 -> 229
Job 1 Operation 3 on Machine 1 : 155 + 70 -> 225
Job 4 Operation 2 on Machine 4 : 171 + 18 -> 189
Job 4 Operation 3 on Machine 2 : 196 + 63 -> 259
Job 2 Operation 4 on Machine 4 : 196 + 12 -> 208
Job 2 Operation 5 on Machine 3 : 208 + 65 -> 273
Job 8 Operation 3 on Machine 4 : 208 + 27 -> 235
Job 7 Operation 0 on Machine 0 : 229 + 31 -> 260
Job 5 Operation 1 on Machine 1 : 229 + 40 -> 269
Job 3 Operation 3 on Machine 4 : 235 + 34 -> 269
Job 8 Operation 4 on Machine 6 : 235 + 4 -> 239
Job 8 Operation 5 on Machine 5 : 239 + 39 -> 278
Job 0 Operation 1 on Machine 2 : 259 + 29 -> 288
Job 6 Operation 2 on Machine 0 : 260 + 82 -> 342
Job 7 Operation 1 on Machine 6 : 260 + 33 -> 293
Job 4 Operation 4 on Machine 1 : 269 + 49 -> 318
Job 5 Operation 2 on Machine 3 : 273 + 59 -> 332
Job 3 Operation 4 on Machine 2 : 288 + 81 -> 369
Job 7 Operation 2 on Machine 4 : 293 + 43 -> 336
Job 1 Operation 4 on Machine 6 : 293 + 73 -> 366
Job 5 Operation 3 on Machine 5 : 332 + 2 -> 334
Job 2 Operation 6 on Machine 5 : 334 + 75 -> 409
Job 7 Operation 3 on Machine 3 : 336 + 20 -> 356
Job 5 Operation 4 on Machine 4 : 336 + 30 -> 366
Job 0 Operation 2 on Machine 0 : 342 + 9 -> 351
Job 0 Operation 3 on Machine 1 : 351 + 77 -> 428
Job 6 Operation 3 on Machine 3 : 356 + 68 -> 424
Job 1 Operation 5 on Machine 4 : 366 + 39 -> 405
Job 4 Operation 5 on Machine 6 : 366 + 72 -> 438
Job 7 Operation 4 on Machine 2 : 369 + 5 -> 374
Job 5 Operation 5 on Machine 2 : 374 + 85 -> 459
Job 7 Operation 5 on Machine 5 : 409 + 15 -> 424
Job 3 Operation 5 on Machine 1 : 428 + 36 -> 464
Job 0 Operation 4 on Machine 3 : 428 + 18 -> 446
Job 6 Operation 4 on Machine 6 : 438 + 20 -> 458
Job 8 Operation 6 on Machine 3 : 446 + 63 -> 509
Job 0 Operation 5 on Machine 4 : 446 + 27 -> 473
Job 6 Operation 5 on Machine 5 : 458 + 45 -> 503
Job 1 Operation 6 on Machine 2 : 459 + 59 -> 518
Job 5 Operation 6 on Machine 6 : 459 + 47 -> 506
Job 7 Operation 6 on Machine 1 : 464 + 32 -> 496
Job 6 Operation 6 on Machine 1 : 503 + 58 -> 561
Job 4 Operation 6 on Machine 5 : 503 + 17 -> 520
Job 0 Operation 6 on Machine 6 : 506 + 52 -> 558
Job 3 Operation 6 on Machine 3 : 509 + 48 -> 557
Makespan: 561.0, as it is the maximum end completion time of Operation 6
| null |
|
8 | 8 |
Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 19 mins.
Operation 1 on Machine 7 duration 49 mins.
Operation 2 on Machine 6 duration 48 mins.
Operation 3 on Machine 2 duration 6 mins.
Operation 4 on Machine 5 duration 63 mins.
Operation 5 on Machine 0 duration 60 mins.
Operation 6 on Machine 3 duration 46 mins.
Operation 7 on Machine 4 duration 12 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 3 duration 20 mins.
Operation 2 on Machine 6 duration 35 mins.
Operation 3 on Machine 5 duration 1 mins.
Operation 4 on Machine 2 duration 51 mins.
Operation 5 on Machine 4 duration 17 mins.
Operation 6 on Machine 7 duration 13 mins.
Operation 7 on Machine 0 duration 62 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 43 mins.
Operation 1 on Machine 3 duration 9 mins.
Operation 2 on Machine 4 duration 58 mins.
Operation 3 on Machine 1 duration 55 mins.
Operation 4 on Machine 2 duration 17 mins.
Operation 5 on Machine 5 duration 30 mins.
Operation 6 on Machine 7 duration 60 mins.
Operation 7 on Machine 0 duration 56 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 13 mins.
Operation 1 on Machine 2 duration 40 mins.
Operation 2 on Machine 3 duration 63 mins.
Operation 3 on Machine 0 duration 36 mins.
Operation 4 on Machine 4 duration 43 mins.
Operation 5 on Machine 7 duration 5 mins.
Operation 6 on Machine 1 duration 20 mins.
Operation 7 on Machine 5 duration 20 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 14 mins.
Operation 1 on Machine 3 duration 36 mins.
Operation 2 on Machine 5 duration 29 mins.
Operation 3 on Machine 2 duration 23 mins.
Operation 4 on Machine 6 duration 31 mins.
Operation 5 on Machine 0 duration 66 mins.
Operation 6 on Machine 7 duration 39 mins.
Operation 7 on Machine 1 duration 24 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 43 mins.
Operation 1 on Machine 3 duration 11 mins.
Operation 2 on Machine 1 duration 45 mins.
Operation 3 on Machine 4 duration 52 mins.
Operation 4 on Machine 0 duration 68 mins.
Operation 5 on Machine 7 duration 19 mins.
Operation 6 on Machine 2 duration 52 mins.
Operation 7 on Machine 5 duration 64 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 47 mins.
Operation 1 on Machine 0 duration 54 mins.
Operation 2 on Machine 6 duration 65 mins.
Operation 3 on Machine 5 duration 6 mins.
Operation 4 on Machine 3 duration 45 mins.
Operation 5 on Machine 4 duration 2 mins.
Operation 6 on Machine 1 duration 66 mins.
Operation 7 on Machine 2 duration 6 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 68 mins.
Operation 1 on Machine 6 duration 32 mins.
Operation 2 on Machine 1 duration 52 mins.
Operation 3 on Machine 2 duration 16 mins.
Operation 4 on Machine 3 duration 26 mins.
Operation 5 on Machine 0 duration 31 mins.
Operation 6 on Machine 4 duration 15 mins.
Operation 7 on Machine 7 duration 65 mins.
| null |
Optimize schedule for 8 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 1 duration 54 mins.
Job 3 Operation 3 duration 36 mins.
Job 5 Operation 4 duration 68 mins.
Job 0 Operation 5 duration 60 mins.
Job 4 Operation 5 duration 66 mins.
Job 7 Operation 5 duration 31 mins.
Job 1 Operation 7 duration 62 mins.
Job 2 Operation 7 duration 56 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 19 mins.
Job 1 Operation 0 duration 44 mins.
Job 5 Operation 2 duration 45 mins.
Job 7 Operation 2 duration 52 mins.
Job 2 Operation 3 duration 55 mins.
Job 3 Operation 6 duration 20 mins.
Job 6 Operation 6 duration 66 mins.
Job 4 Operation 7 duration 24 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 40 mins.
Job 0 Operation 3 duration 6 mins.
Job 4 Operation 3 duration 23 mins.
Job 7 Operation 3 duration 16 mins.
Job 1 Operation 4 duration 51 mins.
Job 2 Operation 4 duration 17 mins.
Job 5 Operation 6 duration 52 mins.
Job 6 Operation 7 duration 6 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 20 mins.
Job 2 Operation 1 duration 9 mins.
Job 4 Operation 1 duration 36 mins.
Job 5 Operation 1 duration 11 mins.
Job 3 Operation 2 duration 63 mins.
Job 6 Operation 4 duration 45 mins.
Job 7 Operation 4 duration 26 mins.
Job 0 Operation 6 duration 46 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 14 mins.
Job 2 Operation 2 duration 58 mins.
Job 5 Operation 3 duration 52 mins.
Job 3 Operation 4 duration 43 mins.
Job 1 Operation 5 duration 17 mins.
Job 6 Operation 5 duration 2 mins.
Job 7 Operation 6 duration 15 mins.
Job 0 Operation 7 duration 12 mins.
Machine 5 is used for the following Operations:
Job 7 Operation 0 duration 68 mins.
Job 4 Operation 2 duration 29 mins.
Job 1 Operation 3 duration 1 mins.
Job 6 Operation 3 duration 6 mins.
Job 0 Operation 4 duration 63 mins.
Job 2 Operation 5 duration 30 mins.
Job 3 Operation 7 duration 20 mins.
Job 5 Operation 7 duration 64 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 43 mins.
Job 3 Operation 0 duration 13 mins.
Job 5 Operation 0 duration 43 mins.
Job 7 Operation 1 duration 32 mins.
Job 0 Operation 2 duration 48 mins.
Job 1 Operation 2 duration 35 mins.
Job 6 Operation 2 duration 65 mins.
Job 4 Operation 4 duration 31 mins.
Machine 7 is used for the following Operations:
Job 6 Operation 0 duration 47 mins.
Job 0 Operation 1 duration 49 mins.
Job 3 Operation 5 duration 5 mins.
Job 5 Operation 5 duration 19 mins.
Job 1 Operation 6 duration 13 mins.
Job 2 Operation 6 duration 60 mins.
Job 4 Operation 6 duration 39 mins.
Job 7 Operation 7 duration 65 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 1 : 0 + 19 -> 19
Job 4 Operation 0 on Machine 4 : 0 + 14 -> 14
Job 3 Operation 0 on Machine 6 : 0 + 13 -> 13
Job 6 Operation 0 on Machine 7 : 0 + 47 -> 47
Job 3 Operation 1 on Machine 2 : 13 + 40 -> 53
Job 2 Operation 0 on Machine 6 : 13 + 43 -> 56
Job 4 Operation 1 on Machine 3 : 14 + 36 -> 50
Job 1 Operation 0 on Machine 1 : 19 + 44 -> 63
Job 6 Operation 1 on Machine 0 : 47 + 54 -> 101
Job 0 Operation 1 on Machine 7 : 47 + 49 -> 96
Job 4 Operation 2 on Machine 5 : 50 + 29 -> 79
Job 3 Operation 2 on Machine 3 : 53 + 63 -> 116
Job 5 Operation 0 on Machine 6 : 56 + 43 -> 99
Job 4 Operation 3 on Machine 2 : 79 + 23 -> 102
Job 7 Operation 0 on Machine 5 : 79 + 68 -> 147
Job 4 Operation 4 on Machine 6 : 102 + 31 -> 133
Job 3 Operation 3 on Machine 0 : 116 + 36 -> 152
Job 5 Operation 1 on Machine 3 : 116 + 11 -> 127
Job 5 Operation 2 on Machine 1 : 127 + 45 -> 172
Job 1 Operation 1 on Machine 3 : 127 + 20 -> 147
Job 0 Operation 2 on Machine 6 : 133 + 48 -> 181
Job 2 Operation 1 on Machine 3 : 147 + 9 -> 156
Job 4 Operation 5 on Machine 0 : 152 + 66 -> 218
Job 5 Operation 3 on Machine 4 : 172 + 52 -> 224
Job 0 Operation 3 on Machine 2 : 181 + 6 -> 187
Job 7 Operation 1 on Machine 6 : 181 + 32 -> 213
Job 0 Operation 4 on Machine 5 : 187 + 63 -> 250
Job 7 Operation 2 on Machine 1 : 213 + 52 -> 265
Job 1 Operation 2 on Machine 6 : 213 + 35 -> 248
Job 4 Operation 6 on Machine 7 : 218 + 39 -> 257
Job 5 Operation 4 on Machine 0 : 224 + 68 -> 292
Job 2 Operation 2 on Machine 4 : 224 + 58 -> 282
Job 6 Operation 2 on Machine 6 : 248 + 65 -> 313
Job 1 Operation 3 on Machine 5 : 250 + 1 -> 251
Job 7 Operation 3 on Machine 2 : 265 + 16 -> 281
Job 1 Operation 4 on Machine 2 : 281 + 51 -> 332
Job 7 Operation 4 on Machine 3 : 281 + 26 -> 307
Job 2 Operation 3 on Machine 1 : 282 + 55 -> 337
Job 3 Operation 4 on Machine 4 : 282 + 43 -> 325
Job 0 Operation 5 on Machine 0 : 292 + 60 -> 352
Job 5 Operation 5 on Machine 7 : 292 + 19 -> 311
Job 6 Operation 3 on Machine 5 : 313 + 6 -> 319
Job 6 Operation 4 on Machine 3 : 319 + 45 -> 364
Job 3 Operation 5 on Machine 7 : 325 + 5 -> 330
Job 1 Operation 5 on Machine 4 : 332 + 17 -> 349
Job 3 Operation 6 on Machine 1 : 337 + 20 -> 357
Job 2 Operation 4 on Machine 2 : 337 + 17 -> 354
Job 1 Operation 6 on Machine 7 : 349 + 13 -> 362
Job 7 Operation 5 on Machine 0 : 352 + 31 -> 383
Job 5 Operation 6 on Machine 2 : 354 + 52 -> 406
Job 2 Operation 5 on Machine 5 : 354 + 30 -> 384
Job 0 Operation 6 on Machine 3 : 364 + 46 -> 410
Job 6 Operation 5 on Machine 4 : 364 + 2 -> 366
Job 6 Operation 6 on Machine 1 : 366 + 66 -> 432
Job 1 Operation 7 on Machine 0 : 383 + 62 -> 445
Job 7 Operation 6 on Machine 4 : 383 + 15 -> 398
Job 3 Operation 7 on Machine 5 : 384 + 20 -> 404
Job 2 Operation 6 on Machine 7 : 384 + 60 -> 444
Job 5 Operation 7 on Machine 5 : 406 + 64 -> 470
Job 0 Operation 7 on Machine 4 : 410 + 12 -> 422
Job 4 Operation 7 on Machine 1 : 432 + 24 -> 456
Job 6 Operation 7 on Machine 2 : 432 + 6 -> 438
Job 7 Operation 7 on Machine 7 : 444 + 65 -> 509
Job 2 Operation 7 on Machine 0 : 445 + 56 -> 501
Makespan: 509.0, as it is the maximum end completion time of Operation 7
| null |
|
10 | 2 |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 305 mins.
Operation 1 on Machine 1 duration 211 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 406 mins.
Operation 1 on Machine 1 duration 206 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 220 mins.
Operation 1 on Machine 1 duration 27 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 22 mins.
Operation 1 on Machine 1 duration 175 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 92 mins.
Operation 1 on Machine 1 duration 244 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 446 mins.
Operation 1 on Machine 1 duration 464 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 109 mins.
Operation 1 on Machine 0 duration 124 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 292 mins.
Operation 1 on Machine 0 duration 81 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 98 mins.
Operation 1 on Machine 0 duration 324 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 350 mins.
Operation 1 on Machine 1 duration 28 mins.
| null |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 305 mins.
Job 1 Operation 0 duration 406 mins.
Job 2 Operation 0 duration 220 mins.
Job 3 Operation 0 duration 22 mins.
Job 4 Operation 0 duration 92 mins.
Job 5 Operation 0 duration 446 mins.
Job 9 Operation 0 duration 350 mins.
Job 6 Operation 1 duration 124 mins.
Job 7 Operation 1 duration 81 mins.
Job 8 Operation 1 duration 324 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 109 mins.
Job 7 Operation 0 duration 292 mins.
Job 8 Operation 0 duration 98 mins.
Job 0 Operation 1 duration 211 mins.
Job 1 Operation 1 duration 206 mins.
Job 2 Operation 1 duration 27 mins.
Job 3 Operation 1 duration 175 mins.
Job 4 Operation 1 duration 244 mins.
Job 5 Operation 1 duration 464 mins.
Job 9 Operation 1 duration 28 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 22 -> 22
Job 8 Operation 0 on Machine 1 : 0 + 98 -> 98
Job 1 Operation 0 on Machine 0 : 22 + 406 -> 428
Job 7 Operation 0 on Machine 1 : 98 + 292 -> 390
Job 8 Operation 1 on Machine 0 : 428 + 324 -> 752
Job 1 Operation 1 on Machine 1 : 428 + 206 -> 634
Job 3 Operation 1 on Machine 1 : 634 + 175 -> 809
Job 4 Operation 0 on Machine 0 : 752 + 92 -> 844
Job 7 Operation 1 on Machine 0 : 844 + 81 -> 925
Job 4 Operation 1 on Machine 1 : 844 + 244 -> 1088
Job 5 Operation 0 on Machine 0 : 925 + 446 -> 1371
Job 6 Operation 0 on Machine 1 : 1088 + 109 -> 1197
Job 9 Operation 0 on Machine 0 : 1371 + 350 -> 1721
Job 5 Operation 1 on Machine 1 : 1371 + 464 -> 1835
Job 0 Operation 0 on Machine 0 : 1721 + 305 -> 2026
Job 9 Operation 1 on Machine 1 : 1835 + 28 -> 1863
Job 2 Operation 0 on Machine 0 : 2026 + 220 -> 2246
Job 0 Operation 1 on Machine 1 : 2026 + 211 -> 2237
Job 6 Operation 1 on Machine 0 : 2246 + 124 -> 2370
Job 2 Operation 1 on Machine 1 : 2246 + 27 -> 2273
Makespan: 2370.0, as it is the maximum end completion time of Operation 1
| null |
|
7 | 6 |
Optimize schedule for 7 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 77 mins.
Operation 1 on Machine 4 duration 35 mins.
Operation 2 on Machine 0 duration 120 mins.
Operation 3 on Machine 3 duration 95 mins.
Operation 4 on Machine 5 duration 81 mins.
Operation 5 on Machine 2 duration 125 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 20 mins.
Operation 1 on Machine 2 duration 110 mins.
Operation 2 on Machine 3 duration 124 mins.
Operation 3 on Machine 5 duration 104 mins.
Operation 4 on Machine 1 duration 80 mins.
Operation 5 on Machine 4 duration 6 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 78 mins.
Operation 1 on Machine 1 duration 76 mins.
Operation 2 on Machine 2 duration 4 mins.
Operation 3 on Machine 4 duration 60 mins.
Operation 4 on Machine 5 duration 3 mins.
Operation 5 on Machine 3 duration 95 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 140 mins.
Operation 1 on Machine 3 duration 76 mins.
Operation 2 on Machine 5 duration 57 mins.
Operation 3 on Machine 0 duration 109 mins.
Operation 4 on Machine 4 duration 65 mins.
Operation 5 on Machine 2 duration 72 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 117 mins.
Operation 1 on Machine 5 duration 129 mins.
Operation 2 on Machine 0 duration 124 mins.
Operation 3 on Machine 3 duration 6 mins.
Operation 4 on Machine 4 duration 169 mins.
Operation 5 on Machine 1 duration 14 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 103 mins.
Operation 1 on Machine 2 duration 167 mins.
Operation 2 on Machine 4 duration 87 mins.
Operation 3 on Machine 1 duration 113 mins.
Operation 4 on Machine 5 duration 94 mins.
Operation 5 on Machine 0 duration 140 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 126 mins.
Operation 1 on Machine 1 duration 103 mins.
Operation 2 on Machine 2 duration 114 mins.
Operation 3 on Machine 4 duration 58 mins.
Operation 4 on Machine 3 duration 44 mins.
Operation 5 on Machine 0 duration 53 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 1 Operation 0 duration 20 mins.
Job 2 Operation 0 duration 78 mins.
Job 0 Operation 2 duration 120 mins.
Job 4 Operation 2 duration 124 mins.
Job 3 Operation 3 duration 109 mins.
Job 5 Operation 5 duration 140 mins.
Job 6 Operation 5 duration 53 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 77 mins.
Job 3 Operation 0 duration 140 mins.
Job 2 Operation 1 duration 76 mins.
Job 6 Operation 1 duration 103 mins.
Job 5 Operation 3 duration 113 mins.
Job 1 Operation 4 duration 80 mins.
Job 4 Operation 5 duration 14 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 117 mins.
Job 1 Operation 1 duration 110 mins.
Job 5 Operation 1 duration 167 mins.
Job 2 Operation 2 duration 4 mins.
Job 6 Operation 2 duration 114 mins.
Job 0 Operation 5 duration 125 mins.
Job 3 Operation 5 duration 72 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 103 mins.
Job 3 Operation 1 duration 76 mins.
Job 1 Operation 2 duration 124 mins.
Job 0 Operation 3 duration 95 mins.
Job 4 Operation 3 duration 6 mins.
Job 6 Operation 4 duration 44 mins.
Job 2 Operation 5 duration 95 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 35 mins.
Job 5 Operation 2 duration 87 mins.
Job 2 Operation 3 duration 60 mins.
Job 6 Operation 3 duration 58 mins.
Job 3 Operation 4 duration 65 mins.
Job 4 Operation 4 duration 169 mins.
Job 1 Operation 5 duration 6 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 126 mins.
Job 4 Operation 1 duration 129 mins.
Job 3 Operation 2 duration 57 mins.
Job 1 Operation 3 duration 104 mins.
Job 0 Operation 4 duration 81 mins.
Job 2 Operation 4 duration 3 mins.
Job 5 Operation 4 duration 94 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 20 -> 20
Job 0 Operation 0 on Machine 1 : 0 + 77 -> 77
Job 4 Operation 0 on Machine 2 : 0 + 117 -> 117
Job 5 Operation 0 on Machine 3 : 0 + 103 -> 103
Job 6 Operation 0 on Machine 5 : 0 + 126 -> 126
Job 2 Operation 0 on Machine 0 : 20 + 78 -> 98
Job 3 Operation 0 on Machine 1 : 77 + 140 -> 217
Job 0 Operation 1 on Machine 4 : 77 + 35 -> 112
Job 0 Operation 2 on Machine 0 : 112 + 120 -> 232
Job 5 Operation 1 on Machine 2 : 117 + 167 -> 284
Job 4 Operation 1 on Machine 5 : 126 + 129 -> 255
Job 2 Operation 1 on Machine 1 : 217 + 76 -> 293
Job 0 Operation 3 on Machine 3 : 232 + 95 -> 327
Job 4 Operation 2 on Machine 0 : 255 + 124 -> 379
Job 5 Operation 2 on Machine 4 : 284 + 87 -> 371
Job 6 Operation 1 on Machine 1 : 293 + 103 -> 396
Job 2 Operation 2 on Machine 2 : 293 + 4 -> 297
Job 1 Operation 1 on Machine 2 : 297 + 110 -> 407
Job 3 Operation 1 on Machine 3 : 327 + 76 -> 403
Job 0 Operation 4 on Machine 5 : 327 + 81 -> 408
Job 2 Operation 3 on Machine 4 : 371 + 60 -> 431
Job 5 Operation 3 on Machine 1 : 396 + 113 -> 509
Job 4 Operation 3 on Machine 3 : 403 + 6 -> 409
Job 6 Operation 2 on Machine 2 : 407 + 114 -> 521
Job 3 Operation 2 on Machine 5 : 408 + 57 -> 465
Job 1 Operation 2 on Machine 3 : 409 + 124 -> 533
Job 4 Operation 4 on Machine 4 : 431 + 169 -> 600
Job 3 Operation 3 on Machine 0 : 465 + 109 -> 574
Job 2 Operation 4 on Machine 5 : 465 + 3 -> 468
Job 5 Operation 4 on Machine 5 : 509 + 94 -> 603
Job 0 Operation 5 on Machine 2 : 521 + 125 -> 646
Job 2 Operation 5 on Machine 3 : 533 + 95 -> 628
Job 4 Operation 5 on Machine 1 : 600 + 14 -> 614
Job 6 Operation 3 on Machine 4 : 600 + 58 -> 658
Job 5 Operation 5 on Machine 0 : 603 + 140 -> 743
Job 1 Operation 3 on Machine 5 : 603 + 104 -> 707
Job 6 Operation 4 on Machine 3 : 658 + 44 -> 702
Job 3 Operation 4 on Machine 4 : 658 + 65 -> 723
Job 1 Operation 4 on Machine 1 : 707 + 80 -> 787
Job 3 Operation 5 on Machine 2 : 723 + 72 -> 795
Job 6 Operation 5 on Machine 0 : 743 + 53 -> 796
Job 1 Operation 5 on Machine 4 : 787 + 6 -> 793
Makespan: 796.0, as it is the maximum end completion time of Operation 5
| null |
|
10 | 3 |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 31 mins.
Operation 1 on Machine 0 duration 348 mins.
Operation 2 on Machine 1 duration 35 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 244 mins.
Operation 1 on Machine 1 duration 317 mins.
Operation 2 on Machine 0 duration 324 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 235 mins.
Operation 1 on Machine 2 duration 35 mins.
Operation 2 on Machine 0 duration 242 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 51 mins.
Operation 1 on Machine 0 duration 115 mins.
Operation 2 on Machine 2 duration 13 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 329 mins.
Operation 1 on Machine 2 duration 55 mins.
Operation 2 on Machine 1 duration 313 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 248 mins.
Operation 1 on Machine 0 duration 9 mins.
Operation 2 on Machine 2 duration 125 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 133 mins.
Operation 1 on Machine 0 duration 63 mins.
Operation 2 on Machine 2 duration 175 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 70 mins.
Operation 1 on Machine 0 duration 147 mins.
Operation 2 on Machine 1 duration 70 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 189 mins.
Operation 1 on Machine 0 duration 21 mins.
Operation 2 on Machine 1 duration 224 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 232 mins.
Operation 1 on Machine 0 duration 285 mins.
Operation 2 on Machine 1 duration 243 mins.
| null |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 329 mins.
Job 0 Operation 1 duration 348 mins.
Job 3 Operation 1 duration 115 mins.
Job 5 Operation 1 duration 9 mins.
Job 6 Operation 1 duration 63 mins.
Job 7 Operation 1 duration 147 mins.
Job 8 Operation 1 duration 21 mins.
Job 9 Operation 1 duration 285 mins.
Job 1 Operation 2 duration 324 mins.
Job 2 Operation 2 duration 242 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 235 mins.
Job 3 Operation 0 duration 51 mins.
Job 5 Operation 0 duration 248 mins.
Job 6 Operation 0 duration 133 mins.
Job 1 Operation 1 duration 317 mins.
Job 0 Operation 2 duration 35 mins.
Job 4 Operation 2 duration 313 mins.
Job 7 Operation 2 duration 70 mins.
Job 8 Operation 2 duration 224 mins.
Job 9 Operation 2 duration 243 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 31 mins.
Job 1 Operation 0 duration 244 mins.
Job 7 Operation 0 duration 70 mins.
Job 8 Operation 0 duration 189 mins.
Job 9 Operation 0 duration 232 mins.
Job 2 Operation 1 duration 35 mins.
Job 4 Operation 1 duration 55 mins.
Job 3 Operation 2 duration 13 mins.
Job 5 Operation 2 duration 125 mins.
Job 6 Operation 2 duration 175 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 329 -> 329
Job 3 Operation 0 on Machine 1 : 0 + 51 -> 51
Job 0 Operation 0 on Machine 2 : 0 + 31 -> 31
Job 8 Operation 0 on Machine 2 : 31 + 189 -> 220
Job 5 Operation 0 on Machine 1 : 51 + 248 -> 299
Job 7 Operation 0 on Machine 2 : 220 + 70 -> 290
Job 2 Operation 0 on Machine 1 : 299 + 235 -> 534
Job 8 Operation 1 on Machine 0 : 329 + 21 -> 350
Job 5 Operation 1 on Machine 0 : 350 + 9 -> 359
Job 7 Operation 1 on Machine 0 : 359 + 147 -> 506
Job 5 Operation 2 on Machine 2 : 359 + 125 -> 484
Job 1 Operation 0 on Machine 2 : 484 + 244 -> 728
Job 0 Operation 1 on Machine 0 : 506 + 348 -> 854
Job 7 Operation 2 on Machine 1 : 534 + 70 -> 604
Job 6 Operation 0 on Machine 1 : 604 + 133 -> 737
Job 2 Operation 1 on Machine 2 : 728 + 35 -> 763
Job 1 Operation 1 on Machine 1 : 737 + 317 -> 1054
Job 9 Operation 0 on Machine 2 : 763 + 232 -> 995
Job 6 Operation 1 on Machine 0 : 854 + 63 -> 917
Job 3 Operation 1 on Machine 0 : 917 + 115 -> 1032
Job 4 Operation 1 on Machine 2 : 995 + 55 -> 1050
Job 9 Operation 1 on Machine 0 : 1032 + 285 -> 1317
Job 3 Operation 2 on Machine 2 : 1050 + 13 -> 1063
Job 0 Operation 2 on Machine 1 : 1054 + 35 -> 1089
Job 6 Operation 2 on Machine 2 : 1063 + 175 -> 1238
Job 4 Operation 2 on Machine 1 : 1089 + 313 -> 1402
Job 1 Operation 2 on Machine 0 : 1317 + 324 -> 1641
Job 8 Operation 2 on Machine 1 : 1402 + 224 -> 1626
Job 9 Operation 2 on Machine 1 : 1626 + 243 -> 1869
Job 2 Operation 2 on Machine 0 : 1641 + 242 -> 1883
Makespan: 1883.0, as it is the maximum end completion time of Operation 2
| null |
|
9 | 2 |
Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 76 mins.
Operation 1 on Machine 0 duration 49 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 46 mins.
Operation 1 on Machine 1 duration 16 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 66 mins.
Operation 1 on Machine 0 duration 23 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 38 mins.
Operation 1 on Machine 1 duration 75 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 10 mins.
Operation 1 on Machine 0 duration 25 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 0 duration 58 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 60 mins.
Operation 1 on Machine 1 duration 40 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 57 mins.
Operation 1 on Machine 0 duration 69 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 38 mins.
Operation 1 on Machine 1 duration 49 mins.
| null |
Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 46 mins.
Job 3 Operation 0 duration 38 mins.
Job 6 Operation 0 duration 60 mins.
Job 8 Operation 0 duration 38 mins.
Job 0 Operation 1 duration 49 mins.
Job 2 Operation 1 duration 23 mins.
Job 4 Operation 1 duration 25 mins.
Job 5 Operation 1 duration 58 mins.
Job 7 Operation 1 duration 69 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 76 mins.
Job 2 Operation 0 duration 66 mins.
Job 4 Operation 0 duration 10 mins.
Job 5 Operation 0 duration 44 mins.
Job 7 Operation 0 duration 57 mins.
Job 1 Operation 1 duration 16 mins.
Job 3 Operation 1 duration 75 mins.
Job 6 Operation 1 duration 40 mins.
Job 8 Operation 1 duration 49 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 0 : 0 + 38 -> 38
Job 5 Operation 0 on Machine 1 : 0 + 44 -> 44
Job 6 Operation 0 on Machine 0 : 38 + 60 -> 98
Job 8 Operation 1 on Machine 1 : 44 + 49 -> 93
Job 7 Operation 0 on Machine 1 : 93 + 57 -> 150
Job 1 Operation 0 on Machine 0 : 98 + 46 -> 144
Job 3 Operation 0 on Machine 0 : 144 + 38 -> 182
Job 1 Operation 1 on Machine 1 : 150 + 16 -> 166
Job 4 Operation 0 on Machine 1 : 166 + 10 -> 176
Job 6 Operation 1 on Machine 1 : 176 + 40 -> 216
Job 4 Operation 1 on Machine 0 : 182 + 25 -> 207
Job 5 Operation 1 on Machine 0 : 207 + 58 -> 265
Job 0 Operation 0 on Machine 1 : 216 + 76 -> 292
Job 7 Operation 1 on Machine 0 : 265 + 69 -> 334
Job 2 Operation 0 on Machine 1 : 292 + 66 -> 358
Job 0 Operation 1 on Machine 0 : 334 + 49 -> 383
Job 3 Operation 1 on Machine 1 : 358 + 75 -> 433
Job 2 Operation 1 on Machine 0 : 383 + 23 -> 406
Makespan: 433.0, as it is the maximum end completion time of Operation 1
| null |
|
9 | 2 |
Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 8 mins.
Operation 1 on Machine 1 duration 37 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 10 mins.
Operation 1 on Machine 1 duration 45 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 13 mins.
Operation 1 on Machine 0 duration 4 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 14 mins.
Operation 1 on Machine 0 duration 23 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 8 mins.
Operation 1 on Machine 0 duration 13 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 38 mins.
Operation 1 on Machine 1 duration 26 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 37 mins.
Operation 1 on Machine 1 duration 32 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 0 duration 33 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 12 mins.
Operation 1 on Machine 0 duration 9 mins.
| null |
Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 8 mins.
Job 1 Operation 0 duration 10 mins.
Job 5 Operation 0 duration 38 mins.
Job 6 Operation 0 duration 37 mins.
Job 2 Operation 1 duration 4 mins.
Job 3 Operation 1 duration 23 mins.
Job 4 Operation 1 duration 13 mins.
Job 7 Operation 1 duration 33 mins.
Job 8 Operation 1 duration 9 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 13 mins.
Job 3 Operation 0 duration 14 mins.
Job 4 Operation 0 duration 8 mins.
Job 7 Operation 0 duration 3 mins.
Job 8 Operation 0 duration 12 mins.
Job 0 Operation 1 duration 37 mins.
Job 1 Operation 1 duration 45 mins.
Job 5 Operation 1 duration 26 mins.
Job 6 Operation 1 duration 32 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 10 -> 10
Job 7 Operation 0 on Machine 1 : 0 + 3 -> 3
Job 3 Operation 0 on Machine 1 : 3 + 14 -> 17
Job 3 Operation 1 on Machine 0 : 17 + 23 -> 40
Job 1 Operation 1 on Machine 1 : 17 + 45 -> 62
Job 6 Operation 0 on Machine 0 : 40 + 37 -> 77
Job 2 Operation 0 on Machine 1 : 62 + 13 -> 75
Job 4 Operation 0 on Machine 1 : 75 + 8 -> 83
Job 2 Operation 1 on Machine 0 : 77 + 4 -> 81
Job 4 Operation 1 on Machine 0 : 83 + 13 -> 96
Job 8 Operation 0 on Machine 1 : 83 + 12 -> 95
Job 6 Operation 1 on Machine 1 : 95 + 32 -> 127
Job 8 Operation 1 on Machine 0 : 96 + 9 -> 105
Job 0 Operation 0 on Machine 0 : 105 + 8 -> 113
Job 5 Operation 0 on Machine 0 : 113 + 38 -> 151
Job 0 Operation 1 on Machine 1 : 127 + 37 -> 164
Job 7 Operation 1 on Machine 0 : 151 + 33 -> 184
Job 5 Operation 1 on Machine 1 : 164 + 26 -> 190
Makespan: 190.0, as it is the maximum end completion time of Operation 1
| 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 14 duration 68 mins.
Operation 1 on Machine 13 duration 223 mins.
Operation 2 on Machine 3 duration 111 mins.
Operation 3 on Machine 10 duration 260 mins.
Operation 4 on Machine 6 duration 46 mins.
Operation 5 on Machine 12 duration 263 mins.
Operation 6 on Machine 11 duration 220 mins.
Operation 7 on Machine 9 duration 23 mins.
Operation 8 on Machine 7 duration 109 mins.
Operation 9 on Machine 0 duration 362 mins.
Operation 10 on Machine 8 duration 277 mins.
Operation 11 on Machine 5 duration 324 mins.
Operation 12 on Machine 1 duration 205 mins.
Operation 13 on Machine 4 duration 294 mins.
Operation 14 on Machine 2 duration 101 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 8 duration 131 mins.
Operation 1 on Machine 4 duration 257 mins.
Operation 2 on Machine 13 duration 326 mins.
Operation 3 on Machine 14 duration 10 mins.
Operation 4 on Machine 12 duration 74 mins.
Operation 5 on Machine 9 duration 367 mins.
Operation 6 on Machine 5 duration 257 mins.
Operation 7 on Machine 10 duration 303 mins.
Operation 8 on Machine 0 duration 266 mins.
Operation 9 on Machine 6 duration 289 mins.
Operation 10 on Machine 2 duration 253 mins.
Operation 11 on Machine 7 duration 342 mins.
Operation 12 on Machine 1 duration 164 mins.
Operation 13 on Machine 3 duration 261 mins.
Operation 14 on Machine 11 duration 133 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 198 mins.
Operation 1 on Machine 3 duration 208 mins.
Operation 2 on Machine 13 duration 184 mins.
Operation 3 on Machine 10 duration 169 mins.
Operation 4 on Machine 8 duration 65 mins.
Operation 5 on Machine 6 duration 16 mins.
Operation 6 on Machine 5 duration 76 mins.
Operation 7 on Machine 1 duration 294 mins.
Operation 8 on Machine 0 duration 176 mins.
Operation 9 on Machine 14 duration 27 mins.
Operation 10 on Machine 7 duration 148 mins.
Operation 11 on Machine 11 duration 64 mins.
Operation 12 on Machine 12 duration 367 mins.
Operation 13 on Machine 4 duration 216 mins.
Operation 14 on Machine 9 duration 78 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 13 duration 304 mins.
Operation 1 on Machine 12 duration 306 mins.
Operation 2 on Machine 8 duration 3 mins.
Operation 3 on Machine 2 duration 174 mins.
Operation 4 on Machine 5 duration 166 mins.
Operation 5 on Machine 6 duration 82 mins.
Operation 6 on Machine 1 duration 248 mins.
Operation 7 on Machine 7 duration 186 mins.
Operation 8 on Machine 9 duration 227 mins.
Operation 9 on Machine 3 duration 283 mins.
Operation 10 on Machine 11 duration 135 mins.
Operation 11 on Machine 10 duration 337 mins.
Operation 12 on Machine 4 duration 23 mins.
Operation 13 on Machine 0 duration 173 mins.
Operation 14 on Machine 14 duration 160 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 9 duration 70 mins.
Operation 1 on Machine 2 duration 111 mins.
Operation 2 on Machine 1 duration 25 mins.
Operation 3 on Machine 7 duration 209 mins.
Operation 4 on Machine 10 duration 198 mins.
Operation 5 on Machine 3 duration 248 mins.
Operation 6 on Machine 8 duration 55 mins.
Operation 7 on Machine 0 duration 116 mins.
Operation 8 on Machine 12 duration 242 mins.
Operation 9 on Machine 6 duration 107 mins.
Operation 10 on Machine 11 duration 251 mins.
Operation 11 on Machine 14 duration 251 mins.
Operation 12 on Machine 13 duration 212 mins.
Operation 13 on Machine 5 duration 244 mins.
Operation 14 on Machine 4 duration 14 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 239 mins.
Operation 1 on Machine 8 duration 191 mins.
Operation 2 on Machine 6 duration 142 mins.
Operation 3 on Machine 4 duration 72 mins.
Operation 4 on Machine 3 duration 362 mins.
Operation 5 on Machine 7 duration 191 mins.
Operation 6 on Machine 2 duration 217 mins.
Operation 7 on Machine 0 duration 366 mins.
Operation 8 on Machine 13 duration 366 mins.
Operation 9 on Machine 1 duration 23 mins.
Operation 10 on Machine 9 duration 179 mins.
Operation 11 on Machine 14 duration 118 mins.
Operation 12 on Machine 11 duration 184 mins.
Operation 13 on Machine 10 duration 248 mins.
Operation 14 on Machine 12 duration 249 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 8 duration 185 mins.
Operation 1 on Machine 4 duration 270 mins.
Operation 2 on Machine 13 duration 48 mins.
Operation 3 on Machine 12 duration 177 mins.
Operation 4 on Machine 2 duration 142 mins.
Operation 5 on Machine 14 duration 235 mins.
Operation 6 on Machine 6 duration 88 mins.
Operation 7 on Machine 3 duration 289 mins.
Operation 8 on Machine 7 duration 179 mins.
Operation 9 on Machine 10 duration 70 mins.
Operation 10 on Machine 5 duration 196 mins.
Operation 11 on Machine 0 duration 218 mins.
Operation 12 on Machine 11 duration 36 mins.
Operation 13 on Machine 9 duration 255 mins.
Operation 14 on Machine 1 duration 355 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 10 duration 230 mins.
Operation 1 on Machine 14 duration 276 mins.
Operation 2 on Machine 2 duration 12 mins.
Operation 3 on Machine 9 duration 22 mins.
Operation 4 on Machine 13 duration 141 mins.
Operation 5 on Machine 4 duration 69 mins.
Operation 6 on Machine 6 duration 373 mins.
Operation 7 on Machine 8 duration 110 mins.
Operation 8 on Machine 11 duration 20 mins.
Operation 9 on Machine 5 duration 303 mins.
Operation 10 on Machine 12 duration 128 mins.
Operation 11 on Machine 7 duration 78 mins.
Operation 12 on Machine 0 duration 39 mins.
Operation 13 on Machine 1 duration 212 mins.
Operation 14 on Machine 3 duration 119 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 10 duration 225 mins.
Operation 1 on Machine 14 duration 284 mins.
Operation 2 on Machine 12 duration 179 mins.
Operation 3 on Machine 8 duration 249 mins.
Operation 4 on Machine 6 duration 114 mins.
Operation 5 on Machine 11 duration 228 mins.
Operation 6 on Machine 0 duration 129 mins.
Operation 7 on Machine 2 duration 50 mins.
Operation 8 on Machine 4 duration 232 mins.
Operation 9 on Machine 9 duration 122 mins.
Operation 10 on Machine 13 duration 93 mins.
Operation 11 on Machine 7 duration 244 mins.
Operation 12 on Machine 1 duration 30 mins.
Operation 13 on Machine 3 duration 5 mins.
Operation 14 on Machine 5 duration 326 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 7 duration 69 mins.
Operation 1 on Machine 11 duration 199 mins.
Operation 2 on Machine 13 duration 367 mins.
Operation 3 on Machine 6 duration 171 mins.
Operation 4 on Machine 5 duration 274 mins.
Operation 5 on Machine 9 duration 306 mins.
Operation 6 on Machine 14 duration 10 mins.
Operation 7 on Machine 8 duration 371 mins.
Operation 8 on Machine 12 duration 262 mins.
Operation 9 on Machine 3 duration 154 mins.
Operation 10 on Machine 1 duration 198 mins.
Operation 11 on Machine 0 duration 80 mins.
Operation 12 on Machine 4 duration 269 mins.
Operation 13 on Machine 2 duration 229 mins.
Operation 14 on Machine 10 duration 322 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 14 duration 68 mins.
Operation 1 on Machine 9 duration 301 mins.
Operation 2 on Machine 12 duration 43 mins.
Operation 3 on Machine 0 duration 272 mins.
Operation 4 on Machine 1 duration 175 mins.
Operation 5 on Machine 6 duration 261 mins.
Operation 6 on Machine 5 duration 196 mins.
Operation 7 on Machine 3 duration 239 mins.
Operation 8 on Machine 8 duration 256 mins.
Operation 9 on Machine 7 duration 109 mins.
Operation 10 on Machine 4 duration 268 mins.
Operation 11 on Machine 2 duration 264 mins.
Operation 12 on Machine 10 duration 4 mins.
Operation 13 on Machine 13 duration 41 mins.
Operation 14 on Machine 11 duration 196 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 14 duration 236 mins.
Operation 1 on Machine 13 duration 109 mins.
Operation 2 on Machine 3 duration 338 mins.
Operation 3 on Machine 2 duration 356 mins.
Operation 4 on Machine 12 duration 239 mins.
Operation 5 on Machine 9 duration 158 mins.
Operation 6 on Machine 11 duration 166 mins.
Operation 7 on Machine 10 duration 74 mins.
Operation 8 on Machine 6 duration 52 mins.
Operation 9 on Machine 8 duration 15 mins.
Operation 10 on Machine 1 duration 226 mins.
Operation 11 on Machine 4 duration 34 mins.
Operation 12 on Machine 0 duration 61 mins.
Operation 13 on Machine 5 duration 14 mins.
Operation 14 on Machine 7 duration 342 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 9 duration 47 mins.
Operation 1 on Machine 14 duration 357 mins.
Operation 2 on Machine 7 duration 289 mins.
Operation 3 on Machine 8 duration 138 mins.
Operation 4 on Machine 10 duration 7 mins.
Operation 5 on Machine 6 duration 54 mins.
Operation 6 on Machine 12 duration 290 mins.
Operation 7 on Machine 2 duration 138 mins.
Operation 8 on Machine 1 duration 343 mins.
Operation 9 on Machine 4 duration 140 mins.
Operation 10 on Machine 5 duration 95 mins.
Operation 11 on Machine 3 duration 314 mins.
Operation 12 on Machine 0 duration 303 mins.
Operation 13 on Machine 13 duration 296 mins.
Operation 14 on Machine 11 duration 361 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 5 duration 206 mins.
Operation 1 on Machine 9 duration 257 mins.
Operation 2 on Machine 6 duration 353 mins.
Operation 3 on Machine 0 duration 133 mins.
Operation 4 on Machine 11 duration 296 mins.
Operation 5 on Machine 10 duration 22 mins.
Operation 6 on Machine 7 duration 193 mins.
Operation 7 on Machine 12 duration 370 mins.
Operation 8 on Machine 14 duration 157 mins.
Operation 9 on Machine 8 duration 129 mins.
Operation 10 on Machine 1 duration 88 mins.
Operation 11 on Machine 3 duration 357 mins.
Operation 12 on Machine 4 duration 46 mins.
Operation 13 on Machine 13 duration 287 mins.
Operation 14 on Machine 2 duration 188 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 8 duration 133 mins.
Operation 1 on Machine 13 duration 113 mins.
Operation 2 on Machine 3 duration 237 mins.
Operation 3 on Machine 0 duration 186 mins.
Operation 4 on Machine 11 duration 182 mins.
Operation 5 on Machine 6 duration 220 mins.
Operation 6 on Machine 1 duration 141 mins.
Operation 7 on Machine 2 duration 181 mins.
Operation 8 on Machine 14 duration 174 mins.
Operation 9 on Machine 4 duration 137 mins.
Operation 10 on Machine 12 duration 170 mins.
Operation 11 on Machine 5 duration 331 mins.
Operation 12 on Machine 10 duration 191 mins.
Operation 13 on Machine 9 duration 301 mins.
Operation 14 on Machine 7 duration 93 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 10 Operation 3 duration 272 mins.
Job 13 Operation 3 duration 133 mins.
Job 14 Operation 3 duration 186 mins.
Job 8 Operation 6 duration 129 mins.
Job 4 Operation 7 duration 116 mins.
Job 5 Operation 7 duration 366 mins.
Job 1 Operation 8 duration 266 mins.
Job 2 Operation 8 duration 176 mins.
Job 0 Operation 9 duration 362 mins.
Job 6 Operation 11 duration 218 mins.
Job 9 Operation 11 duration 80 mins.
Job 7 Operation 12 duration 39 mins.
Job 11 Operation 12 duration 61 mins.
Job 12 Operation 12 duration 303 mins.
Job 3 Operation 13 duration 173 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 2 duration 25 mins.
Job 10 Operation 4 duration 175 mins.
Job 3 Operation 6 duration 248 mins.
Job 14 Operation 6 duration 141 mins.
Job 2 Operation 7 duration 294 mins.
Job 12 Operation 8 duration 343 mins.
Job 5 Operation 9 duration 23 mins.
Job 9 Operation 10 duration 198 mins.
Job 11 Operation 10 duration 226 mins.
Job 13 Operation 10 duration 88 mins.
Job 0 Operation 12 duration 205 mins.
Job 1 Operation 12 duration 164 mins.
Job 8 Operation 12 duration 30 mins.
Job 7 Operation 13 duration 212 mins.
Job 6 Operation 14 duration 355 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 198 mins.
Job 4 Operation 1 duration 111 mins.
Job 7 Operation 2 duration 12 mins.
Job 3 Operation 3 duration 174 mins.
Job 11 Operation 3 duration 356 mins.
Job 6 Operation 4 duration 142 mins.
Job 5 Operation 6 duration 217 mins.
Job 8 Operation 7 duration 50 mins.
Job 12 Operation 7 duration 138 mins.
Job 14 Operation 7 duration 181 mins.
Job 1 Operation 10 duration 253 mins.
Job 10 Operation 11 duration 264 mins.
Job 9 Operation 13 duration 229 mins.
Job 0 Operation 14 duration 101 mins.
Job 13 Operation 14 duration 188 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 208 mins.
Job 0 Operation 2 duration 111 mins.
Job 11 Operation 2 duration 338 mins.
Job 14 Operation 2 duration 237 mins.
Job 5 Operation 4 duration 362 mins.
Job 4 Operation 5 duration 248 mins.
Job 6 Operation 7 duration 289 mins.
Job 10 Operation 7 duration 239 mins.
Job 3 Operation 9 duration 283 mins.
Job 9 Operation 9 duration 154 mins.
Job 12 Operation 11 duration 314 mins.
Job 13 Operation 11 duration 357 mins.
Job 1 Operation 13 duration 261 mins.
Job 8 Operation 13 duration 5 mins.
Job 7 Operation 14 duration 119 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 1 duration 257 mins.
Job 6 Operation 1 duration 270 mins.
Job 5 Operation 3 duration 72 mins.
Job 7 Operation 5 duration 69 mins.
Job 8 Operation 8 duration 232 mins.
Job 12 Operation 9 duration 140 mins.
Job 14 Operation 9 duration 137 mins.
Job 10 Operation 10 duration 268 mins.
Job 11 Operation 11 duration 34 mins.
Job 3 Operation 12 duration 23 mins.
Job 9 Operation 12 duration 269 mins.
Job 13 Operation 12 duration 46 mins.
Job 0 Operation 13 duration 294 mins.
Job 2 Operation 13 duration 216 mins.
Job 4 Operation 14 duration 14 mins.
Machine 5 is used for the following Operations:
Job 5 Operation 0 duration 239 mins.
Job 13 Operation 0 duration 206 mins.
Job 3 Operation 4 duration 166 mins.
Job 9 Operation 4 duration 274 mins.
Job 1 Operation 6 duration 257 mins.
Job 2 Operation 6 duration 76 mins.
Job 10 Operation 6 duration 196 mins.
Job 7 Operation 9 duration 303 mins.
Job 6 Operation 10 duration 196 mins.
Job 12 Operation 10 duration 95 mins.
Job 0 Operation 11 duration 324 mins.
Job 14 Operation 11 duration 331 mins.
Job 4 Operation 13 duration 244 mins.
Job 11 Operation 13 duration 14 mins.
Job 8 Operation 14 duration 326 mins.
Machine 6 is used for the following Operations:
Job 5 Operation 2 duration 142 mins.
Job 13 Operation 2 duration 353 mins.
Job 9 Operation 3 duration 171 mins.
Job 0 Operation 4 duration 46 mins.
Job 8 Operation 4 duration 114 mins.
Job 2 Operation 5 duration 16 mins.
Job 3 Operation 5 duration 82 mins.
Job 10 Operation 5 duration 261 mins.
Job 12 Operation 5 duration 54 mins.
Job 14 Operation 5 duration 220 mins.
Job 6 Operation 6 duration 88 mins.
Job 7 Operation 6 duration 373 mins.
Job 11 Operation 8 duration 52 mins.
Job 1 Operation 9 duration 289 mins.
Job 4 Operation 9 duration 107 mins.
Machine 7 is used for the following Operations:
Job 9 Operation 0 duration 69 mins.
Job 12 Operation 2 duration 289 mins.
Job 4 Operation 3 duration 209 mins.
Job 5 Operation 5 duration 191 mins.
Job 13 Operation 6 duration 193 mins.
Job 3 Operation 7 duration 186 mins.
Job 0 Operation 8 duration 109 mins.
Job 6 Operation 8 duration 179 mins.
Job 10 Operation 9 duration 109 mins.
Job 2 Operation 10 duration 148 mins.
Job 1 Operation 11 duration 342 mins.
Job 7 Operation 11 duration 78 mins.
Job 8 Operation 11 duration 244 mins.
Job 11 Operation 14 duration 342 mins.
Job 14 Operation 14 duration 93 mins.
Machine 8 is used for the following Operations:
Job 1 Operation 0 duration 131 mins.
Job 6 Operation 0 duration 185 mins.
Job 14 Operation 0 duration 133 mins.
Job 5 Operation 1 duration 191 mins.
Job 3 Operation 2 duration 3 mins.
Job 8 Operation 3 duration 249 mins.
Job 12 Operation 3 duration 138 mins.
Job 2 Operation 4 duration 65 mins.
Job 4 Operation 6 duration 55 mins.
Job 7 Operation 7 duration 110 mins.
Job 9 Operation 7 duration 371 mins.
Job 10 Operation 8 duration 256 mins.
Job 11 Operation 9 duration 15 mins.
Job 13 Operation 9 duration 129 mins.
Job 0 Operation 10 duration 277 mins.
Machine 9 is used for the following Operations:
Job 4 Operation 0 duration 70 mins.
Job 12 Operation 0 duration 47 mins.
Job 10 Operation 1 duration 301 mins.
Job 13 Operation 1 duration 257 mins.
Job 7 Operation 3 duration 22 mins.
Job 1 Operation 5 duration 367 mins.
Job 9 Operation 5 duration 306 mins.
Job 11 Operation 5 duration 158 mins.
Job 0 Operation 7 duration 23 mins.
Job 3 Operation 8 duration 227 mins.
Job 8 Operation 9 duration 122 mins.
Job 5 Operation 10 duration 179 mins.
Job 6 Operation 13 duration 255 mins.
Job 14 Operation 13 duration 301 mins.
Job 2 Operation 14 duration 78 mins.
Machine 10 is used for the following Operations:
Job 7 Operation 0 duration 230 mins.
Job 8 Operation 0 duration 225 mins.
Job 0 Operation 3 duration 260 mins.
Job 2 Operation 3 duration 169 mins.
Job 4 Operation 4 duration 198 mins.
Job 12 Operation 4 duration 7 mins.
Job 13 Operation 5 duration 22 mins.
Job 1 Operation 7 duration 303 mins.
Job 11 Operation 7 duration 74 mins.
Job 6 Operation 9 duration 70 mins.
Job 3 Operation 11 duration 337 mins.
Job 10 Operation 12 duration 4 mins.
Job 14 Operation 12 duration 191 mins.
Job 5 Operation 13 duration 248 mins.
Job 9 Operation 14 duration 322 mins.
Machine 11 is used for the following Operations:
Job 9 Operation 1 duration 199 mins.
Job 13 Operation 4 duration 296 mins.
Job 14 Operation 4 duration 182 mins.
Job 8 Operation 5 duration 228 mins.
Job 0 Operation 6 duration 220 mins.
Job 11 Operation 6 duration 166 mins.
Job 7 Operation 8 duration 20 mins.
Job 3 Operation 10 duration 135 mins.
Job 4 Operation 10 duration 251 mins.
Job 2 Operation 11 duration 64 mins.
Job 5 Operation 12 duration 184 mins.
Job 6 Operation 12 duration 36 mins.
Job 1 Operation 14 duration 133 mins.
Job 10 Operation 14 duration 196 mins.
Job 12 Operation 14 duration 361 mins.
Machine 12 is used for the following Operations:
Job 3 Operation 1 duration 306 mins.
Job 8 Operation 2 duration 179 mins.
Job 10 Operation 2 duration 43 mins.
Job 6 Operation 3 duration 177 mins.
Job 1 Operation 4 duration 74 mins.
Job 11 Operation 4 duration 239 mins.
Job 0 Operation 5 duration 263 mins.
Job 12 Operation 6 duration 290 mins.
Job 13 Operation 7 duration 370 mins.
Job 4 Operation 8 duration 242 mins.
Job 9 Operation 8 duration 262 mins.
Job 7 Operation 10 duration 128 mins.
Job 14 Operation 10 duration 170 mins.
Job 2 Operation 12 duration 367 mins.
Job 5 Operation 14 duration 249 mins.
Machine 13 is used for the following Operations:
Job 3 Operation 0 duration 304 mins.
Job 0 Operation 1 duration 223 mins.
Job 11 Operation 1 duration 109 mins.
Job 14 Operation 1 duration 113 mins.
Job 1 Operation 2 duration 326 mins.
Job 2 Operation 2 duration 184 mins.
Job 6 Operation 2 duration 48 mins.
Job 9 Operation 2 duration 367 mins.
Job 7 Operation 4 duration 141 mins.
Job 5 Operation 8 duration 366 mins.
Job 8 Operation 10 duration 93 mins.
Job 4 Operation 12 duration 212 mins.
Job 10 Operation 13 duration 41 mins.
Job 12 Operation 13 duration 296 mins.
Job 13 Operation 13 duration 287 mins.
Machine 14 is used for the following Operations:
Job 0 Operation 0 duration 68 mins.
Job 10 Operation 0 duration 68 mins.
Job 11 Operation 0 duration 236 mins.
Job 7 Operation 1 duration 276 mins.
Job 8 Operation 1 duration 284 mins.
Job 12 Operation 1 duration 357 mins.
Job 1 Operation 3 duration 10 mins.
Job 6 Operation 5 duration 235 mins.
Job 9 Operation 6 duration 10 mins.
Job 13 Operation 8 duration 157 mins.
Job 14 Operation 8 duration 174 mins.
Job 2 Operation 9 duration 27 mins.
Job 4 Operation 11 duration 251 mins.
Job 5 Operation 11 duration 118 mins.
Job 3 Operation 14 duration 160 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 5 : 0 + 239 -> 239
Job 9 Operation 0 on Machine 7 : 0 + 69 -> 69
Job 1 Operation 0 on Machine 8 : 0 + 131 -> 131
Job 4 Operation 0 on Machine 9 : 0 + 70 -> 70
Job 8 Operation 0 on Machine 10 : 0 + 225 -> 225
Job 3 Operation 0 on Machine 13 : 0 + 304 -> 304
Job 10 Operation 0 on Machine 14 : 0 + 68 -> 68
Job 0 Operation 0 on Machine 14 : 68 + 68 -> 136
Job 9 Operation 1 on Machine 11 : 69 + 199 -> 268
Job 4 Operation 1 on Machine 2 : 70 + 111 -> 181
Job 12 Operation 0 on Machine 9 : 70 + 47 -> 117
Job 10 Operation 1 on Machine 9 : 117 + 301 -> 418
Job 1 Operation 1 on Machine 4 : 131 + 257 -> 388
Job 6 Operation 0 on Machine 8 : 131 + 185 -> 316
Job 12 Operation 1 on Machine 14 : 136 + 357 -> 493
Job 4 Operation 2 on Machine 1 : 181 + 25 -> 206
Job 2 Operation 0 on Machine 2 : 181 + 198 -> 379
Job 4 Operation 3 on Machine 7 : 206 + 209 -> 415
Job 7 Operation 0 on Machine 10 : 225 + 230 -> 455
Job 13 Operation 0 on Machine 5 : 239 + 206 -> 445
Job 3 Operation 1 on Machine 12 : 304 + 306 -> 610
Job 0 Operation 1 on Machine 13 : 304 + 223 -> 527
Job 5 Operation 1 on Machine 8 : 316 + 191 -> 507
Job 2 Operation 1 on Machine 3 : 379 + 208 -> 587
Job 6 Operation 1 on Machine 4 : 388 + 270 -> 658
Job 13 Operation 1 on Machine 9 : 445 + 257 -> 702
Job 4 Operation 4 on Machine 10 : 455 + 198 -> 653
Job 12 Operation 2 on Machine 7 : 493 + 289 -> 782
Job 8 Operation 1 on Machine 14 : 493 + 284 -> 777
Job 5 Operation 2 on Machine 6 : 507 + 142 -> 649
Job 1 Operation 2 on Machine 13 : 527 + 326 -> 853
Job 0 Operation 2 on Machine 3 : 587 + 111 -> 698
Job 3 Operation 2 on Machine 8 : 610 + 3 -> 613
Job 10 Operation 2 on Machine 12 : 610 + 43 -> 653
Job 3 Operation 3 on Machine 2 : 613 + 174 -> 787
Job 14 Operation 0 on Machine 8 : 613 + 133 -> 746
Job 10 Operation 3 on Machine 0 : 653 + 272 -> 925
Job 5 Operation 3 on Machine 4 : 658 + 72 -> 730
Job 13 Operation 2 on Machine 6 : 702 + 353 -> 1055
Job 5 Operation 4 on Machine 3 : 730 + 362 -> 1092
Job 8 Operation 2 on Machine 12 : 777 + 179 -> 956
Job 7 Operation 1 on Machine 14 : 777 + 276 -> 1053
Job 12 Operation 3 on Machine 8 : 782 + 138 -> 920
Job 3 Operation 4 on Machine 5 : 787 + 166 -> 953
Job 6 Operation 2 on Machine 13 : 853 + 48 -> 901
Job 9 Operation 2 on Machine 13 : 901 + 367 -> 1268
Job 12 Operation 4 on Machine 10 : 920 + 7 -> 927
Job 10 Operation 4 on Machine 1 : 925 + 175 -> 1100
Job 0 Operation 3 on Machine 10 : 927 + 260 -> 1187
Job 8 Operation 3 on Machine 8 : 956 + 249 -> 1205
Job 6 Operation 3 on Machine 12 : 956 + 177 -> 1133
Job 1 Operation 3 on Machine 14 : 1053 + 10 -> 1063
Job 13 Operation 3 on Machine 0 : 1055 + 133 -> 1188
Job 12 Operation 5 on Machine 6 : 1055 + 54 -> 1109
Job 11 Operation 0 on Machine 14 : 1063 + 236 -> 1299
Job 4 Operation 5 on Machine 3 : 1092 + 248 -> 1340
Job 5 Operation 5 on Machine 7 : 1092 + 191 -> 1283
Job 3 Operation 5 on Machine 6 : 1109 + 82 -> 1191
Job 6 Operation 4 on Machine 2 : 1133 + 142 -> 1275
Job 1 Operation 4 on Machine 12 : 1133 + 74 -> 1207
Job 13 Operation 4 on Machine 11 : 1188 + 296 -> 1484
Job 3 Operation 6 on Machine 1 : 1191 + 248 -> 1439
Job 8 Operation 4 on Machine 6 : 1205 + 114 -> 1319
Job 12 Operation 6 on Machine 12 : 1207 + 290 -> 1497
Job 14 Operation 1 on Machine 13 : 1268 + 113 -> 1381
Job 7 Operation 2 on Machine 2 : 1275 + 12 -> 1287
Job 5 Operation 6 on Machine 2 : 1287 + 217 -> 1504
Job 7 Operation 3 on Machine 9 : 1287 + 22 -> 1309
Job 6 Operation 5 on Machine 14 : 1299 + 235 -> 1534
Job 1 Operation 5 on Machine 9 : 1309 + 367 -> 1676
Job 9 Operation 3 on Machine 6 : 1319 + 171 -> 1490
Job 4 Operation 6 on Machine 8 : 1340 + 55 -> 1395
Job 14 Operation 2 on Machine 3 : 1381 + 237 -> 1618
Job 2 Operation 2 on Machine 13 : 1381 + 184 -> 1565
Job 4 Operation 7 on Machine 0 : 1395 + 116 -> 1511
Job 3 Operation 7 on Machine 7 : 1439 + 186 -> 1625
Job 8 Operation 5 on Machine 11 : 1484 + 228 -> 1712
Job 9 Operation 4 on Machine 5 : 1490 + 274 -> 1764
Job 10 Operation 5 on Machine 6 : 1490 + 261 -> 1751
Job 12 Operation 7 on Machine 2 : 1504 + 138 -> 1642
Job 5 Operation 7 on Machine 0 : 1511 + 366 -> 1877
Job 4 Operation 8 on Machine 12 : 1511 + 242 -> 1753
Job 2 Operation 3 on Machine 10 : 1565 + 169 -> 1734
Job 11 Operation 1 on Machine 13 : 1565 + 109 -> 1674
Job 12 Operation 8 on Machine 1 : 1642 + 343 -> 1985
Job 11 Operation 2 on Machine 3 : 1674 + 338 -> 2012
Job 7 Operation 4 on Machine 13 : 1674 + 141 -> 1815
Job 2 Operation 4 on Machine 8 : 1734 + 65 -> 1799
Job 13 Operation 5 on Machine 10 : 1734 + 22 -> 1756
Job 0 Operation 4 on Machine 6 : 1751 + 46 -> 1797
Job 13 Operation 6 on Machine 7 : 1756 + 193 -> 1949
Job 9 Operation 5 on Machine 9 : 1764 + 306 -> 2070
Job 0 Operation 5 on Machine 12 : 1797 + 263 -> 2060
Job 2 Operation 5 on Machine 6 : 1799 + 16 -> 1815
Job 7 Operation 5 on Machine 4 : 1815 + 69 -> 1884
Job 2 Operation 6 on Machine 5 : 1815 + 76 -> 1891
Job 6 Operation 6 on Machine 6 : 1815 + 88 -> 1903
Job 14 Operation 3 on Machine 0 : 1877 + 186 -> 2063
Job 5 Operation 8 on Machine 13 : 1877 + 366 -> 2243
Job 1 Operation 6 on Machine 5 : 1891 + 257 -> 2148
Job 7 Operation 6 on Machine 6 : 1903 + 373 -> 2276
Job 2 Operation 7 on Machine 1 : 1985 + 294 -> 2279
Job 12 Operation 9 on Machine 4 : 1985 + 140 -> 2125
Job 11 Operation 3 on Machine 2 : 2012 + 356 -> 2368
Job 6 Operation 7 on Machine 3 : 2012 + 289 -> 2301
Job 13 Operation 7 on Machine 12 : 2060 + 370 -> 2430
Job 8 Operation 6 on Machine 0 : 2063 + 129 -> 2192
Job 14 Operation 4 on Machine 11 : 2063 + 182 -> 2245
Job 9 Operation 6 on Machine 14 : 2070 + 10 -> 2080
Job 9 Operation 7 on Machine 8 : 2080 + 371 -> 2451
Job 12 Operation 10 on Machine 5 : 2148 + 95 -> 2243
Job 1 Operation 7 on Machine 10 : 2148 + 303 -> 2451
Job 10 Operation 6 on Machine 5 : 2243 + 196 -> 2439
Job 0 Operation 6 on Machine 11 : 2245 + 220 -> 2465
Job 14 Operation 5 on Machine 6 : 2276 + 220 -> 2496
Job 2 Operation 8 on Machine 0 : 2279 + 176 -> 2455
Job 5 Operation 9 on Machine 1 : 2279 + 23 -> 2302
Job 12 Operation 11 on Machine 3 : 2301 + 314 -> 2615
Job 6 Operation 8 on Machine 7 : 2301 + 179 -> 2480
Job 5 Operation 10 on Machine 9 : 2302 + 179 -> 2481
Job 8 Operation 7 on Machine 2 : 2368 + 50 -> 2418
Job 8 Operation 8 on Machine 4 : 2418 + 232 -> 2650
Job 13 Operation 8 on Machine 14 : 2430 + 157 -> 2587
Job 7 Operation 7 on Machine 8 : 2451 + 110 -> 2561
Job 9 Operation 8 on Machine 12 : 2451 + 262 -> 2713
Job 1 Operation 8 on Machine 0 : 2455 + 266 -> 2721
Job 6 Operation 9 on Machine 10 : 2480 + 70 -> 2550
Job 0 Operation 7 on Machine 9 : 2481 + 23 -> 2504
Job 14 Operation 6 on Machine 1 : 2496 + 141 -> 2637
Job 4 Operation 9 on Machine 6 : 2496 + 107 -> 2603
Job 0 Operation 8 on Machine 7 : 2504 + 109 -> 2613
Job 3 Operation 8 on Machine 9 : 2504 + 227 -> 2731
Job 7 Operation 8 on Machine 11 : 2561 + 20 -> 2581
Job 7 Operation 9 on Machine 5 : 2581 + 303 -> 2884
Job 13 Operation 9 on Machine 8 : 2587 + 129 -> 2716
Job 2 Operation 9 on Machine 14 : 2587 + 27 -> 2614
Job 4 Operation 10 on Machine 11 : 2603 + 251 -> 2854
Job 2 Operation 10 on Machine 7 : 2614 + 148 -> 2762
Job 5 Operation 11 on Machine 14 : 2614 + 118 -> 2732
Job 10 Operation 7 on Machine 3 : 2615 + 239 -> 2854
Job 14 Operation 7 on Machine 2 : 2637 + 181 -> 2818
Job 11 Operation 4 on Machine 12 : 2713 + 239 -> 2952
Job 13 Operation 10 on Machine 1 : 2716 + 88 -> 2804
Job 0 Operation 9 on Machine 0 : 2721 + 362 -> 3083
Job 1 Operation 9 on Machine 6 : 2721 + 289 -> 3010
Job 8 Operation 9 on Machine 9 : 2731 + 122 -> 2853
Job 14 Operation 8 on Machine 14 : 2818 + 174 -> 2992
Job 8 Operation 10 on Machine 13 : 2853 + 93 -> 2946
Job 9 Operation 9 on Machine 3 : 2854 + 154 -> 3008
Job 10 Operation 8 on Machine 8 : 2854 + 256 -> 3110
Job 5 Operation 12 on Machine 11 : 2854 + 184 -> 3038
Job 6 Operation 10 on Machine 5 : 2884 + 196 -> 3080
Job 11 Operation 5 on Machine 9 : 2952 + 158 -> 3110
Job 7 Operation 10 on Machine 12 : 2952 + 128 -> 3080
Job 14 Operation 9 on Machine 4 : 2992 + 137 -> 3129
Job 4 Operation 11 on Machine 14 : 2992 + 251 -> 3243
Job 9 Operation 10 on Machine 1 : 3008 + 198 -> 3206
Job 3 Operation 9 on Machine 3 : 3008 + 283 -> 3291
Job 1 Operation 10 on Machine 2 : 3010 + 253 -> 3263
Job 5 Operation 13 on Machine 10 : 3038 + 248 -> 3286
Job 2 Operation 11 on Machine 11 : 3038 + 64 -> 3102
Job 7 Operation 11 on Machine 7 : 3080 + 78 -> 3158
Job 0 Operation 10 on Machine 8 : 3110 + 277 -> 3387
Job 11 Operation 6 on Machine 11 : 3110 + 166 -> 3276
Job 14 Operation 10 on Machine 12 : 3129 + 170 -> 3299
Job 7 Operation 12 on Machine 0 : 3158 + 39 -> 3197
Job 10 Operation 9 on Machine 7 : 3158 + 109 -> 3267
Job 12 Operation 12 on Machine 0 : 3197 + 303 -> 3500
Job 7 Operation 13 on Machine 1 : 3206 + 212 -> 3418
Job 4 Operation 12 on Machine 13 : 3243 + 212 -> 3455
Job 10 Operation 10 on Machine 4 : 3267 + 268 -> 3535
Job 1 Operation 11 on Machine 7 : 3267 + 342 -> 3609
Job 11 Operation 7 on Machine 10 : 3286 + 74 -> 3360
Job 13 Operation 11 on Machine 3 : 3291 + 357 -> 3648
Job 3 Operation 10 on Machine 11 : 3291 + 135 -> 3426
Job 14 Operation 11 on Machine 5 : 3299 + 331 -> 3630
Job 2 Operation 12 on Machine 12 : 3299 + 367 -> 3666
Job 11 Operation 8 on Machine 6 : 3360 + 52 -> 3412
Job 11 Operation 9 on Machine 8 : 3412 + 15 -> 3427
Job 3 Operation 11 on Machine 10 : 3426 + 337 -> 3763
Job 11 Operation 10 on Machine 1 : 3427 + 226 -> 3653
Job 9 Operation 11 on Machine 0 : 3500 + 80 -> 3580
Job 12 Operation 13 on Machine 13 : 3500 + 296 -> 3796
Job 10 Operation 11 on Machine 2 : 3535 + 264 -> 3799
Job 6 Operation 11 on Machine 0 : 3580 + 218 -> 3798
Job 9 Operation 12 on Machine 4 : 3580 + 269 -> 3849
Job 8 Operation 11 on Machine 7 : 3609 + 244 -> 3853
Job 0 Operation 11 on Machine 5 : 3630 + 324 -> 3954
Job 1 Operation 12 on Machine 1 : 3653 + 164 -> 3817
Job 5 Operation 14 on Machine 12 : 3666 + 249 -> 3915
Job 6 Operation 12 on Machine 11 : 3798 + 36 -> 3834
Job 10 Operation 12 on Machine 10 : 3799 + 4 -> 3803
Job 14 Operation 12 on Machine 10 : 3803 + 191 -> 3994
Job 10 Operation 13 on Machine 13 : 3803 + 41 -> 3844
Job 1 Operation 13 on Machine 3 : 3817 + 261 -> 4078
Job 6 Operation 13 on Machine 9 : 3834 + 255 -> 4089
Job 12 Operation 14 on Machine 11 : 3834 + 361 -> 4195
Job 9 Operation 13 on Machine 2 : 3849 + 229 -> 4078
Job 11 Operation 11 on Machine 4 : 3849 + 34 -> 3883
Job 11 Operation 12 on Machine 0 : 3883 + 61 -> 3944
Job 3 Operation 12 on Machine 4 : 3883 + 23 -> 3906
Job 13 Operation 12 on Machine 4 : 3906 + 46 -> 3952
Job 3 Operation 13 on Machine 0 : 3944 + 173 -> 4117
Job 2 Operation 13 on Machine 4 : 3952 + 216 -> 4168
Job 13 Operation 13 on Machine 13 : 3952 + 287 -> 4239
Job 0 Operation 12 on Machine 1 : 3954 + 205 -> 4159
Job 11 Operation 13 on Machine 5 : 3954 + 14 -> 3968
Job 4 Operation 13 on Machine 5 : 3968 + 244 -> 4212
Job 11 Operation 14 on Machine 7 : 3968 + 342 -> 4310
Job 9 Operation 14 on Machine 10 : 4078 + 322 -> 4400
Job 14 Operation 13 on Machine 9 : 4089 + 301 -> 4390
Job 3 Operation 14 on Machine 14 : 4117 + 160 -> 4277
Job 8 Operation 12 on Machine 1 : 4159 + 30 -> 4189
Job 0 Operation 13 on Machine 4 : 4168 + 294 -> 4462
Job 6 Operation 14 on Machine 1 : 4189 + 355 -> 4544
Job 8 Operation 13 on Machine 3 : 4189 + 5 -> 4194
Job 7 Operation 14 on Machine 3 : 4194 + 119 -> 4313
Job 10 Operation 14 on Machine 11 : 4195 + 196 -> 4391
Job 8 Operation 14 on Machine 5 : 4212 + 326 -> 4538
Job 13 Operation 14 on Machine 2 : 4239 + 188 -> 4427
Job 14 Operation 14 on Machine 7 : 4390 + 93 -> 4483
Job 2 Operation 14 on Machine 9 : 4390 + 78 -> 4468
Job 1 Operation 14 on Machine 11 : 4391 + 133 -> 4524
Job 0 Operation 14 on Machine 2 : 4462 + 101 -> 4563
Job 4 Operation 14 on Machine 4 : 4462 + 14 -> 4476
Makespan: 4563.0, as it is the maximum end completion time of Operation 14
| null |
|
10 | 2 |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 157 mins.
Operation 1 on Machine 1 duration 41 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 105 mins.
Operation 1 on Machine 1 duration 48 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 83 mins.
Operation 1 on Machine 1 duration 34 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 123 mins.
Operation 1 on Machine 1 duration 34 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 111 mins.
Operation 1 on Machine 0 duration 167 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 142 mins.
Operation 1 on Machine 0 duration 59 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 75 mins.
Operation 1 on Machine 0 duration 84 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 158 mins.
Operation 1 on Machine 0 duration 43 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 36 mins.
Operation 1 on Machine 0 duration 99 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 112 mins.
Operation 1 on Machine 0 duration 45 mins.
| null |
Optimize schedule for 10 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 157 mins.
Job 1 Operation 0 duration 105 mins.
Job 2 Operation 0 duration 83 mins.
Job 3 Operation 0 duration 123 mins.
Job 4 Operation 1 duration 167 mins.
Job 5 Operation 1 duration 59 mins.
Job 6 Operation 1 duration 84 mins.
Job 7 Operation 1 duration 43 mins.
Job 8 Operation 1 duration 99 mins.
Job 9 Operation 1 duration 45 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 111 mins.
Job 5 Operation 0 duration 142 mins.
Job 6 Operation 0 duration 75 mins.
Job 7 Operation 0 duration 158 mins.
Job 8 Operation 0 duration 36 mins.
Job 9 Operation 0 duration 112 mins.
Job 0 Operation 1 duration 41 mins.
Job 1 Operation 1 duration 48 mins.
Job 2 Operation 1 duration 34 mins.
Job 3 Operation 1 duration 34 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 83 -> 83
Job 8 Operation 0 on Machine 1 : 0 + 36 -> 36
Job 6 Operation 0 on Machine 1 : 36 + 75 -> 111
Job 8 Operation 1 on Machine 0 : 83 + 99 -> 182
Job 2 Operation 1 on Machine 1 : 111 + 34 -> 145
Job 4 Operation 0 on Machine 1 : 145 + 111 -> 256
Job 6 Operation 1 on Machine 0 : 182 + 84 -> 266
Job 9 Operation 0 on Machine 1 : 256 + 112 -> 368
Job 1 Operation 0 on Machine 0 : 266 + 105 -> 371
Job 5 Operation 0 on Machine 1 : 368 + 142 -> 510
Job 9 Operation 1 on Machine 0 : 371 + 45 -> 416
Job 3 Operation 0 on Machine 0 : 416 + 123 -> 539
Job 1 Operation 1 on Machine 1 : 510 + 48 -> 558
Job 5 Operation 1 on Machine 0 : 539 + 59 -> 598
Job 3 Operation 1 on Machine 1 : 558 + 34 -> 592
Job 7 Operation 0 on Machine 1 : 592 + 158 -> 750
Job 0 Operation 0 on Machine 0 : 598 + 157 -> 755
Job 7 Operation 1 on Machine 0 : 755 + 43 -> 798
Job 0 Operation 1 on Machine 1 : 755 + 41 -> 796
Job 4 Operation 1 on Machine 0 : 798 + 167 -> 965
Makespan: 965.0, as it is the maximum end completion time of Operation 1
| null |
|
7 | 5 |
Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 133 mins.
Operation 1 on Machine 2 duration 187 mins.
Operation 2 on Machine 3 duration 80 mins.
Operation 3 on Machine 0 duration 255 mins.
Operation 4 on Machine 1 duration 170 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 20 mins.
Operation 1 on Machine 0 duration 217 mins.
Operation 2 on Machine 1 duration 289 mins.
Operation 3 on Machine 4 duration 174 mins.
Operation 4 on Machine 2 duration 293 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 99 mins.
Operation 1 on Machine 2 duration 41 mins.
Operation 2 on Machine 1 duration 213 mins.
Operation 3 on Machine 4 duration 87 mins.
Operation 4 on Machine 3 duration 255 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 51 mins.
Operation 1 on Machine 2 duration 146 mins.
Operation 2 on Machine 1 duration 219 mins.
Operation 3 on Machine 4 duration 11 mins.
Operation 4 on Machine 3 duration 250 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 234 mins.
Operation 1 on Machine 3 duration 136 mins.
Operation 2 on Machine 2 duration 147 mins.
Operation 3 on Machine 1 duration 271 mins.
Operation 4 on Machine 4 duration 258 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 7 mins.
Operation 1 on Machine 4 duration 118 mins.
Operation 2 on Machine 2 duration 159 mins.
Operation 3 on Machine 0 duration 143 mins.
Operation 4 on Machine 1 duration 2 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 276 mins.
Operation 1 on Machine 4 duration 195 mins.
Operation 2 on Machine 1 duration 272 mins.
Operation 3 on Machine 2 duration 53 mins.
Operation 4 on Machine 0 duration 220 mins.
| null |
Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 99 mins.
Job 3 Operation 0 duration 51 mins.
Job 4 Operation 0 duration 234 mins.
Job 1 Operation 1 duration 217 mins.
Job 0 Operation 3 duration 255 mins.
Job 5 Operation 3 duration 143 mins.
Job 6 Operation 4 duration 220 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 2 duration 289 mins.
Job 2 Operation 2 duration 213 mins.
Job 3 Operation 2 duration 219 mins.
Job 6 Operation 2 duration 272 mins.
Job 4 Operation 3 duration 271 mins.
Job 0 Operation 4 duration 170 mins.
Job 5 Operation 4 duration 2 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 187 mins.
Job 2 Operation 1 duration 41 mins.
Job 3 Operation 1 duration 146 mins.
Job 4 Operation 2 duration 147 mins.
Job 5 Operation 2 duration 159 mins.
Job 6 Operation 3 duration 53 mins.
Job 1 Operation 4 duration 293 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 20 mins.
Job 5 Operation 0 duration 7 mins.
Job 6 Operation 0 duration 276 mins.
Job 4 Operation 1 duration 136 mins.
Job 0 Operation 2 duration 80 mins.
Job 2 Operation 4 duration 255 mins.
Job 3 Operation 4 duration 250 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 133 mins.
Job 5 Operation 1 duration 118 mins.
Job 6 Operation 1 duration 195 mins.
Job 1 Operation 3 duration 174 mins.
Job 2 Operation 3 duration 87 mins.
Job 3 Operation 3 duration 11 mins.
Job 4 Operation 4 duration 258 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 99 -> 99
Job 5 Operation 0 on Machine 3 : 0 + 7 -> 7
Job 1 Operation 0 on Machine 3 : 7 + 20 -> 27
Job 5 Operation 1 on Machine 4 : 7 + 118 -> 125
Job 6 Operation 0 on Machine 3 : 27 + 276 -> 303
Job 1 Operation 1 on Machine 0 : 99 + 217 -> 316
Job 2 Operation 1 on Machine 2 : 99 + 41 -> 140
Job 0 Operation 0 on Machine 4 : 125 + 133 -> 258
Job 2 Operation 2 on Machine 1 : 140 + 213 -> 353
Job 5 Operation 2 on Machine 2 : 140 + 159 -> 299
Job 0 Operation 1 on Machine 2 : 299 + 187 -> 486
Job 3 Operation 0 on Machine 0 : 316 + 51 -> 367
Job 1 Operation 2 on Machine 1 : 353 + 289 -> 642
Job 2 Operation 3 on Machine 4 : 353 + 87 -> 440
Job 4 Operation 0 on Machine 0 : 367 + 234 -> 601
Job 6 Operation 1 on Machine 4 : 440 + 195 -> 635
Job 3 Operation 1 on Machine 2 : 486 + 146 -> 632
Job 0 Operation 2 on Machine 3 : 486 + 80 -> 566
Job 5 Operation 3 on Machine 0 : 601 + 143 -> 744
Job 4 Operation 1 on Machine 3 : 601 + 136 -> 737
Job 6 Operation 2 on Machine 1 : 642 + 272 -> 914
Job 3 Operation 2 on Machine 1 : 914 + 219 -> 1133
Job 6 Operation 3 on Machine 2 : 914 + 53 -> 967
Job 6 Operation 4 on Machine 0 : 967 + 220 -> 1187
Job 4 Operation 2 on Machine 2 : 967 + 147 -> 1114
Job 4 Operation 3 on Machine 1 : 1133 + 271 -> 1404
Job 3 Operation 3 on Machine 4 : 1133 + 11 -> 1144
Job 3 Operation 4 on Machine 3 : 1144 + 250 -> 1394
Job 1 Operation 3 on Machine 4 : 1144 + 174 -> 1318
Job 0 Operation 3 on Machine 0 : 1187 + 255 -> 1442
Job 1 Operation 4 on Machine 2 : 1318 + 293 -> 1611
Job 2 Operation 4 on Machine 3 : 1394 + 255 -> 1649
Job 5 Operation 4 on Machine 1 : 1404 + 2 -> 1406
Job 4 Operation 4 on Machine 4 : 1404 + 258 -> 1662
Job 0 Operation 4 on Machine 1 : 1442 + 170 -> 1612
Makespan: 1662.0, as it is the maximum end completion time of Operation 4
| null |
|
15 | 15 |
Optimize schedule for 15 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 5 mins.
Operation 1 on Machine 11 duration 2 mins.
Operation 2 on Machine 10 duration 3 mins.
Operation 3 on Machine 8 duration 1 mins.
Operation 4 on Machine 12 duration 12 mins.
Operation 5 on Machine 1 duration 4 mins.
Operation 6 on Machine 13 duration 2 mins.
Operation 7 on Machine 3 duration 1 mins.
Operation 8 on Machine 0 duration 11 mins.
Operation 9 on Machine 4 duration 1 mins.
Operation 10 on Machine 2 duration 10 mins.
Operation 11 on Machine 5 duration 13 mins.
Operation 12 on Machine 14 duration 5 mins.
Operation 13 on Machine 7 duration 13 mins.
Operation 14 on Machine 9 duration 13 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 9 duration 9 mins.
Operation 1 on Machine 0 duration 4 mins.
Operation 2 on Machine 4 duration 4 mins.
Operation 3 on Machine 14 duration 5 mins.
Operation 4 on Machine 3 duration 8 mins.
Operation 5 on Machine 1 duration 2 mins.
Operation 6 on Machine 12 duration 2 mins.
Operation 7 on Machine 8 duration 8 mins.
Operation 8 on Machine 7 duration 7 mins.
Operation 9 on Machine 10 duration 10 mins.
Operation 10 on Machine 11 duration 7 mins.
Operation 11 on Machine 5 duration 9 mins.
Operation 12 on Machine 6 duration 6 mins.
Operation 13 on Machine 13 duration 9 mins.
Operation 14 on Machine 2 duration 5 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 14 duration 1 mins.
Operation 1 on Machine 13 duration 7 mins.
Operation 2 on Machine 4 duration 7 mins.
Operation 3 on Machine 2 duration 13 mins.
Operation 4 on Machine 7 duration 1 mins.
Operation 5 on Machine 10 duration 1 mins.
Operation 6 on Machine 0 duration 9 mins.
Operation 7 on Machine 3 duration 1 mins.
Operation 8 on Machine 5 duration 6 mins.
Operation 9 on Machine 6 duration 10 mins.
Operation 10 on Machine 12 duration 5 mins.
Operation 11 on Machine 1 duration 1 mins.
Operation 12 on Machine 9 duration 4 mins.
Operation 13 on Machine 8 duration 3 mins.
Operation 14 on Machine 11 duration 5 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 5 mins.
Operation 1 on Machine 2 duration 3 mins.
Operation 2 on Machine 4 duration 2 mins.
Operation 3 on Machine 3 duration 5 mins.
Operation 4 on Machine 12 duration 8 mins.
Operation 5 on Machine 7 duration 9 mins.
Operation 6 on Machine 8 duration 8 mins.
Operation 7 on Machine 5 duration 8 mins.
Operation 8 on Machine 13 duration 2 mins.
Operation 9 on Machine 1 duration 7 mins.
Operation 10 on Machine 11 duration 12 mins.
Operation 11 on Machine 6 duration 6 mins.
Operation 12 on Machine 9 duration 9 mins.
Operation 13 on Machine 10 duration 2 mins.
Operation 14 on Machine 14 duration 10 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 13 duration 8 mins.
Operation 1 on Machine 1 duration 1 mins.
Operation 2 on Machine 4 duration 10 mins.
Operation 3 on Machine 5 duration 7 mins.
Operation 4 on Machine 7 duration 8 mins.
Operation 5 on Machine 11 duration 6 mins.
Operation 6 on Machine 8 duration 1 mins.
Operation 7 on Machine 10 duration 12 mins.
Operation 8 on Machine 3 duration 2 mins.
Operation 9 on Machine 9 duration 3 mins.
Operation 10 on Machine 2 duration 3 mins.
Operation 11 on Machine 6 duration 12 mins.
Operation 12 on Machine 0 duration 13 mins.
Operation 13 on Machine 14 duration 10 mins.
Operation 14 on Machine 12 duration 5 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 13 mins.
Operation 1 on Machine 0 duration 12 mins.
Operation 2 on Machine 4 duration 6 mins.
Operation 3 on Machine 9 duration 10 mins.
Operation 4 on Machine 13 duration 2 mins.
Operation 5 on Machine 10 duration 9 mins.
Operation 6 on Machine 5 duration 10 mins.
Operation 7 on Machine 14 duration 8 mins.
Operation 8 on Machine 8 duration 3 mins.
Operation 9 on Machine 1 duration 1 mins.
Operation 10 on Machine 11 duration 8 mins.
Operation 11 on Machine 2 duration 8 mins.
Operation 12 on Machine 12 duration 4 mins.
Operation 13 on Machine 7 duration 1 mins.
Operation 14 on Machine 6 duration 7 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 4 mins.
Operation 1 on Machine 9 duration 5 mins.
Operation 2 on Machine 14 duration 2 mins.
Operation 3 on Machine 1 duration 5 mins.
Operation 4 on Machine 6 duration 1 mins.
Operation 5 on Machine 7 duration 3 mins.
Operation 6 on Machine 11 duration 3 mins.
Operation 7 on Machine 10 duration 13 mins.
Operation 8 on Machine 8 duration 8 mins.
Operation 9 on Machine 2 duration 9 mins.
Operation 10 on Machine 3 duration 9 mins.
Operation 11 on Machine 13 duration 8 mins.
Operation 12 on Machine 5 duration 8 mins.
Operation 13 on Machine 12 duration 13 mins.
Operation 14 on Machine 0 duration 3 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 12 mins.
Operation 1 on Machine 8 duration 4 mins.
Operation 2 on Machine 2 duration 2 mins.
Operation 3 on Machine 1 duration 6 mins.
Operation 4 on Machine 12 duration 13 mins.
Operation 5 on Machine 13 duration 11 mins.
Operation 6 on Machine 7 duration 9 mins.
Operation 7 on Machine 6 duration 6 mins.
Operation 8 on Machine 14 duration 11 mins.
Operation 9 on Machine 10 duration 12 mins.
Operation 10 on Machine 4 duration 9 mins.
Operation 11 on Machine 11 duration 4 mins.
Operation 12 on Machine 5 duration 1 mins.
Operation 13 on Machine 0 duration 11 mins.
Operation 14 on Machine 9 duration 11 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 7 mins.
Operation 1 on Machine 10 duration 12 mins.
Operation 2 on Machine 1 duration 13 mins.
Operation 3 on Machine 12 duration 2 mins.
Operation 4 on Machine 8 duration 2 mins.
Operation 5 on Machine 13 duration 6 mins.
Operation 6 on Machine 3 duration 5 mins.
Operation 7 on Machine 5 duration 10 mins.
Operation 8 on Machine 11 duration 12 mins.
Operation 9 on Machine 7 duration 9 mins.
Operation 10 on Machine 0 duration 5 mins.
Operation 11 on Machine 2 duration 13 mins.
Operation 12 on Machine 9 duration 13 mins.
Operation 13 on Machine 6 duration 9 mins.
Operation 14 on Machine 14 duration 4 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 7 duration 6 mins.
Operation 1 on Machine 13 duration 4 mins.
Operation 2 on Machine 4 duration 11 mins.
Operation 3 on Machine 5 duration 1 mins.
Operation 4 on Machine 6 duration 2 mins.
Operation 5 on Machine 10 duration 3 mins.
Operation 6 on Machine 1 duration 6 mins.
Operation 7 on Machine 11 duration 2 mins.
Operation 8 on Machine 8 duration 13 mins.
Operation 9 on Machine 12 duration 13 mins.
Operation 10 on Machine 0 duration 1 mins.
Operation 11 on Machine 3 duration 2 mins.
Operation 12 on Machine 9 duration 8 mins.
Operation 13 on Machine 14 duration 7 mins.
Operation 14 on Machine 2 duration 5 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 9 duration 7 mins.
Operation 1 on Machine 0 duration 7 mins.
Operation 2 on Machine 8 duration 10 mins.
Operation 3 on Machine 6 duration 1 mins.
Operation 4 on Machine 2 duration 9 mins.
Operation 5 on Machine 1 duration 4 mins.
Operation 6 on Machine 3 duration 13 mins.
Operation 7 on Machine 11 duration 9 mins.
Operation 8 on Machine 7 duration 7 mins.
Operation 9 on Machine 5 duration 7 mins.
Operation 10 on Machine 4 duration 3 mins.
Operation 11 on Machine 13 duration 7 mins.
Operation 12 on Machine 14 duration 13 mins.
Operation 13 on Machine 12 duration 8 mins.
Operation 14 on Machine 10 duration 4 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 8 duration 1 mins.
Operation 1 on Machine 11 duration 3 mins.
Operation 2 on Machine 5 duration 12 mins.
Operation 3 on Machine 1 duration 2 mins.
Operation 4 on Machine 0 duration 1 mins.
Operation 5 on Machine 4 duration 10 mins.
Operation 6 on Machine 2 duration 7 mins.
Operation 7 on Machine 9 duration 3 mins.
Operation 8 on Machine 3 duration 9 mins.
Operation 9 on Machine 6 duration 9 mins.
Operation 10 on Machine 12 duration 9 mins.
Operation 11 on Machine 7 duration 3 mins.
Operation 12 on Machine 13 duration 9 mins.
Operation 13 on Machine 10 duration 4 mins.
Operation 14 on Machine 14 duration 7 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 2 duration 9 mins.
Operation 1 on Machine 3 duration 11 mins.
Operation 2 on Machine 11 duration 4 mins.
Operation 3 on Machine 1 duration 6 mins.
Operation 4 on Machine 7 duration 3 mins.
Operation 5 on Machine 14 duration 4 mins.
Operation 6 on Machine 8 duration 8 mins.
Operation 7 on Machine 5 duration 7 mins.
Operation 8 on Machine 4 duration 5 mins.
Operation 9 on Machine 10 duration 12 mins.
Operation 10 on Machine 9 duration 5 mins.
Operation 11 on Machine 12 duration 5 mins.
Operation 12 on Machine 13 duration 11 mins.
Operation 13 on Machine 0 duration 4 mins.
Operation 14 on Machine 6 duration 5 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 14 duration 3 mins.
Operation 1 on Machine 6 duration 10 mins.
Operation 2 on Machine 11 duration 9 mins.
Operation 3 on Machine 0 duration 1 mins.
Operation 4 on Machine 13 duration 8 mins.
Operation 5 on Machine 4 duration 2 mins.
Operation 6 on Machine 12 duration 4 mins.
Operation 7 on Machine 9 duration 3 mins.
Operation 8 on Machine 7 duration 4 mins.
Operation 9 on Machine 2 duration 8 mins.
Operation 10 on Machine 3 duration 3 mins.
Operation 11 on Machine 1 duration 12 mins.
Operation 12 on Machine 10 duration 4 mins.
Operation 13 on Machine 8 duration 13 mins.
Operation 14 on Machine 5 duration 6 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 10 duration 10 mins.
Operation 1 on Machine 13 duration 9 mins.
Operation 2 on Machine 5 duration 9 mins.
Operation 3 on Machine 9 duration 6 mins.
Operation 4 on Machine 11 duration 10 mins.
Operation 5 on Machine 0 duration 7 mins.
Operation 6 on Machine 1 duration 10 mins.
Operation 7 on Machine 2 duration 13 mins.
Operation 8 on Machine 8 duration 9 mins.
Operation 9 on Machine 4 duration 10 mins.
Operation 10 on Machine 7 duration 11 mins.
Operation 11 on Machine 12 duration 2 mins.
Operation 12 on Machine 6 duration 1 mins.
Operation 13 on Machine 3 duration 4 mins.
Operation 14 on Machine 14 duration 4 mins.
| null |
Optimize schedule for 15 Jobs across 15 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 5 mins.
Job 1 Operation 1 duration 4 mins.
Job 5 Operation 1 duration 12 mins.
Job 10 Operation 1 duration 7 mins.
Job 13 Operation 3 duration 1 mins.
Job 11 Operation 4 duration 1 mins.
Job 14 Operation 5 duration 7 mins.
Job 2 Operation 6 duration 9 mins.
Job 0 Operation 8 duration 11 mins.
Job 8 Operation 10 duration 5 mins.
Job 9 Operation 10 duration 1 mins.
Job 4 Operation 12 duration 13 mins.
Job 7 Operation 13 duration 11 mins.
Job 12 Operation 13 duration 4 mins.
Job 6 Operation 14 duration 3 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 1 duration 1 mins.
Job 8 Operation 2 duration 13 mins.
Job 6 Operation 3 duration 5 mins.
Job 7 Operation 3 duration 6 mins.
Job 11 Operation 3 duration 2 mins.
Job 12 Operation 3 duration 6 mins.
Job 0 Operation 5 duration 4 mins.
Job 1 Operation 5 duration 2 mins.
Job 10 Operation 5 duration 4 mins.
Job 9 Operation 6 duration 6 mins.
Job 14 Operation 6 duration 10 mins.
Job 3 Operation 9 duration 7 mins.
Job 5 Operation 9 duration 1 mins.
Job 2 Operation 11 duration 1 mins.
Job 13 Operation 11 duration 12 mins.
Machine 2 is used for the following Operations:
Job 12 Operation 0 duration 9 mins.
Job 3 Operation 1 duration 3 mins.
Job 7 Operation 2 duration 2 mins.
Job 2 Operation 3 duration 13 mins.
Job 10 Operation 4 duration 9 mins.
Job 11 Operation 6 duration 7 mins.
Job 14 Operation 7 duration 13 mins.
Job 6 Operation 9 duration 9 mins.
Job 13 Operation 9 duration 8 mins.
Job 0 Operation 10 duration 10 mins.
Job 4 Operation 10 duration 3 mins.
Job 5 Operation 11 duration 8 mins.
Job 8 Operation 11 duration 13 mins.
Job 1 Operation 14 duration 5 mins.
Job 9 Operation 14 duration 5 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 13 mins.
Job 7 Operation 0 duration 12 mins.
Job 12 Operation 1 duration 11 mins.
Job 3 Operation 3 duration 5 mins.
Job 1 Operation 4 duration 8 mins.
Job 8 Operation 6 duration 5 mins.
Job 10 Operation 6 duration 13 mins.
Job 0 Operation 7 duration 1 mins.
Job 2 Operation 7 duration 1 mins.
Job 4 Operation 8 duration 2 mins.
Job 11 Operation 8 duration 9 mins.
Job 6 Operation 10 duration 9 mins.
Job 13 Operation 10 duration 3 mins.
Job 9 Operation 11 duration 2 mins.
Job 14 Operation 13 duration 4 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 4 mins.
Job 8 Operation 0 duration 7 mins.
Job 1 Operation 2 duration 4 mins.
Job 2 Operation 2 duration 7 mins.
Job 3 Operation 2 duration 2 mins.
Job 4 Operation 2 duration 10 mins.
Job 5 Operation 2 duration 6 mins.
Job 9 Operation 2 duration 11 mins.
Job 11 Operation 5 duration 10 mins.
Job 13 Operation 5 duration 2 mins.
Job 12 Operation 8 duration 5 mins.
Job 0 Operation 9 duration 1 mins.
Job 14 Operation 9 duration 10 mins.
Job 7 Operation 10 duration 9 mins.
Job 10 Operation 10 duration 3 mins.
Machine 5 is used for the following Operations:
Job 11 Operation 2 duration 12 mins.
Job 14 Operation 2 duration 9 mins.
Job 4 Operation 3 duration 7 mins.
Job 9 Operation 3 duration 1 mins.
Job 5 Operation 6 duration 10 mins.
Job 3 Operation 7 duration 8 mins.
Job 8 Operation 7 duration 10 mins.
Job 12 Operation 7 duration 7 mins.
Job 2 Operation 8 duration 6 mins.
Job 10 Operation 9 duration 7 mins.
Job 0 Operation 11 duration 13 mins.
Job 1 Operation 11 duration 9 mins.
Job 6 Operation 12 duration 8 mins.
Job 7 Operation 12 duration 1 mins.
Job 13 Operation 14 duration 6 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 5 mins.
Job 13 Operation 1 duration 10 mins.
Job 10 Operation 3 duration 1 mins.
Job 6 Operation 4 duration 1 mins.
Job 9 Operation 4 duration 2 mins.
Job 7 Operation 7 duration 6 mins.
Job 2 Operation 9 duration 10 mins.
Job 11 Operation 9 duration 9 mins.
Job 3 Operation 11 duration 6 mins.
Job 4 Operation 11 duration 12 mins.
Job 1 Operation 12 duration 6 mins.
Job 14 Operation 12 duration 1 mins.
Job 8 Operation 13 duration 9 mins.
Job 5 Operation 14 duration 7 mins.
Job 12 Operation 14 duration 5 mins.
Machine 7 is used for the following Operations:
Job 9 Operation 0 duration 6 mins.
Job 2 Operation 4 duration 1 mins.
Job 4 Operation 4 duration 8 mins.
Job 12 Operation 4 duration 3 mins.
Job 3 Operation 5 duration 9 mins.
Job 6 Operation 5 duration 3 mins.
Job 7 Operation 6 duration 9 mins.
Job 1 Operation 8 duration 7 mins.
Job 10 Operation 8 duration 7 mins.
Job 13 Operation 8 duration 4 mins.
Job 8 Operation 9 duration 9 mins.
Job 14 Operation 10 duration 11 mins.
Job 11 Operation 11 duration 3 mins.
Job 0 Operation 13 duration 13 mins.
Job 5 Operation 13 duration 1 mins.
Machine 8 is used for the following Operations:
Job 11 Operation 0 duration 1 mins.
Job 7 Operation 1 duration 4 mins.
Job 10 Operation 2 duration 10 mins.
Job 0 Operation 3 duration 1 mins.
Job 8 Operation 4 duration 2 mins.
Job 3 Operation 6 duration 8 mins.
Job 4 Operation 6 duration 1 mins.
Job 12 Operation 6 duration 8 mins.
Job 1 Operation 7 duration 8 mins.
Job 5 Operation 8 duration 3 mins.
Job 6 Operation 8 duration 8 mins.
Job 9 Operation 8 duration 13 mins.
Job 14 Operation 8 duration 9 mins.
Job 2 Operation 13 duration 3 mins.
Job 13 Operation 13 duration 13 mins.
Machine 9 is used for the following Operations:
Job 1 Operation 0 duration 9 mins.
Job 10 Operation 0 duration 7 mins.
Job 6 Operation 1 duration 5 mins.
Job 5 Operation 3 duration 10 mins.
Job 14 Operation 3 duration 6 mins.
Job 11 Operation 7 duration 3 mins.
Job 13 Operation 7 duration 3 mins.
Job 4 Operation 9 duration 3 mins.
Job 12 Operation 10 duration 5 mins.
Job 2 Operation 12 duration 4 mins.
Job 3 Operation 12 duration 9 mins.
Job 8 Operation 12 duration 13 mins.
Job 9 Operation 12 duration 8 mins.
Job 0 Operation 14 duration 13 mins.
Job 7 Operation 14 duration 11 mins.
Machine 10 is used for the following Operations:
Job 14 Operation 0 duration 10 mins.
Job 8 Operation 1 duration 12 mins.
Job 0 Operation 2 duration 3 mins.
Job 2 Operation 5 duration 1 mins.
Job 5 Operation 5 duration 9 mins.
Job 9 Operation 5 duration 3 mins.
Job 4 Operation 7 duration 12 mins.
Job 6 Operation 7 duration 13 mins.
Job 1 Operation 9 duration 10 mins.
Job 7 Operation 9 duration 12 mins.
Job 12 Operation 9 duration 12 mins.
Job 13 Operation 12 duration 4 mins.
Job 3 Operation 13 duration 2 mins.
Job 11 Operation 13 duration 4 mins.
Job 10 Operation 14 duration 4 mins.
Machine 11 is used for the following Operations:
Job 0 Operation 1 duration 2 mins.
Job 11 Operation 1 duration 3 mins.
Job 12 Operation 2 duration 4 mins.
Job 13 Operation 2 duration 9 mins.
Job 14 Operation 4 duration 10 mins.
Job 4 Operation 5 duration 6 mins.
Job 6 Operation 6 duration 3 mins.
Job 9 Operation 7 duration 2 mins.
Job 10 Operation 7 duration 9 mins.
Job 8 Operation 8 duration 12 mins.
Job 1 Operation 10 duration 7 mins.
Job 3 Operation 10 duration 12 mins.
Job 5 Operation 10 duration 8 mins.
Job 7 Operation 11 duration 4 mins.
Job 2 Operation 14 duration 5 mins.
Machine 12 is used for the following Operations:
Job 8 Operation 3 duration 2 mins.
Job 0 Operation 4 duration 12 mins.
Job 3 Operation 4 duration 8 mins.
Job 7 Operation 4 duration 13 mins.
Job 1 Operation 6 duration 2 mins.
Job 13 Operation 6 duration 4 mins.
Job 9 Operation 9 duration 13 mins.
Job 2 Operation 10 duration 5 mins.
Job 11 Operation 10 duration 9 mins.
Job 12 Operation 11 duration 5 mins.
Job 14 Operation 11 duration 2 mins.
Job 5 Operation 12 duration 4 mins.
Job 6 Operation 13 duration 13 mins.
Job 10 Operation 13 duration 8 mins.
Job 4 Operation 14 duration 5 mins.
Machine 13 is used for the following Operations:
Job 4 Operation 0 duration 8 mins.
Job 2 Operation 1 duration 7 mins.
Job 9 Operation 1 duration 4 mins.
Job 14 Operation 1 duration 9 mins.
Job 5 Operation 4 duration 2 mins.
Job 13 Operation 4 duration 8 mins.
Job 7 Operation 5 duration 11 mins.
Job 8 Operation 5 duration 6 mins.
Job 0 Operation 6 duration 2 mins.
Job 3 Operation 8 duration 2 mins.
Job 6 Operation 11 duration 8 mins.
Job 10 Operation 11 duration 7 mins.
Job 11 Operation 12 duration 9 mins.
Job 12 Operation 12 duration 11 mins.
Job 1 Operation 13 duration 9 mins.
Machine 14 is used for the following Operations:
Job 2 Operation 0 duration 1 mins.
Job 13 Operation 0 duration 3 mins.
Job 6 Operation 2 duration 2 mins.
Job 1 Operation 3 duration 5 mins.
Job 12 Operation 5 duration 4 mins.
Job 5 Operation 7 duration 8 mins.
Job 7 Operation 8 duration 11 mins.
Job 0 Operation 12 duration 5 mins.
Job 10 Operation 12 duration 13 mins.
Job 4 Operation 13 duration 10 mins.
Job 9 Operation 13 duration 7 mins.
Job 3 Operation 14 duration 10 mins.
Job 8 Operation 14 duration 4 mins.
Job 11 Operation 14 duration 7 mins.
Job 14 Operation 14 duration 4 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 5 -> 5
Job 7 Operation 0 on Machine 3 : 0 + 12 -> 12
Job 6 Operation 0 on Machine 4 : 0 + 4 -> 4
Job 0 Operation 0 on Machine 6 : 0 + 5 -> 5
Job 9 Operation 0 on Machine 7 : 0 + 6 -> 6
Job 11 Operation 0 on Machine 8 : 0 + 1 -> 1
Job 10 Operation 0 on Machine 9 : 0 + 7 -> 7
Job 4 Operation 0 on Machine 13 : 0 + 8 -> 8
Job 13 Operation 0 on Machine 14 : 0 + 3 -> 3
Job 11 Operation 1 on Machine 11 : 1 + 3 -> 4
Job 2 Operation 0 on Machine 14 : 3 + 1 -> 4
Job 8 Operation 0 on Machine 4 : 4 + 7 -> 11
Job 11 Operation 2 on Machine 5 : 4 + 12 -> 16
Job 3 Operation 1 on Machine 2 : 5 + 3 -> 8
Job 13 Operation 1 on Machine 6 : 5 + 10 -> 15
Job 0 Operation 1 on Machine 11 : 5 + 2 -> 7
Job 10 Operation 1 on Machine 0 : 7 + 7 -> 14
Job 6 Operation 1 on Machine 9 : 7 + 5 -> 12
Job 0 Operation 2 on Machine 10 : 7 + 3 -> 10
Job 4 Operation 1 on Machine 1 : 8 + 1 -> 9
Job 12 Operation 0 on Machine 2 : 8 + 9 -> 17
Job 2 Operation 1 on Machine 13 : 8 + 7 -> 15
Job 0 Operation 3 on Machine 8 : 10 + 1 -> 11
Job 14 Operation 0 on Machine 10 : 10 + 10 -> 20
Job 3 Operation 2 on Machine 4 : 11 + 2 -> 13
Job 0 Operation 4 on Machine 12 : 11 + 12 -> 23
Job 7 Operation 1 on Machine 8 : 12 + 4 -> 16
Job 1 Operation 0 on Machine 9 : 12 + 9 -> 21
Job 6 Operation 2 on Machine 14 : 12 + 2 -> 14
Job 3 Operation 3 on Machine 3 : 13 + 5 -> 18
Job 4 Operation 2 on Machine 4 : 13 + 10 -> 23
Job 6 Operation 3 on Machine 1 : 14 + 5 -> 19
Job 13 Operation 2 on Machine 11 : 15 + 9 -> 24
Job 9 Operation 1 on Machine 13 : 15 + 4 -> 19
Job 10 Operation 2 on Machine 8 : 16 + 10 -> 26
Job 7 Operation 2 on Machine 2 : 17 + 2 -> 19
Job 12 Operation 1 on Machine 3 : 18 + 11 -> 29
Job 11 Operation 3 on Machine 1 : 19 + 2 -> 21
Job 6 Operation 4 on Machine 6 : 19 + 1 -> 20
Job 6 Operation 5 on Machine 7 : 20 + 3 -> 23
Job 8 Operation 1 on Machine 10 : 20 + 12 -> 32
Job 1 Operation 1 on Machine 0 : 21 + 4 -> 25
Job 0 Operation 5 on Machine 1 : 23 + 4 -> 27
Job 4 Operation 3 on Machine 5 : 23 + 7 -> 30
Job 3 Operation 4 on Machine 12 : 23 + 8 -> 31
Job 6 Operation 6 on Machine 11 : 24 + 3 -> 27
Job 13 Operation 3 on Machine 0 : 25 + 1 -> 26
Job 1 Operation 2 on Machine 4 : 25 + 4 -> 29
Job 11 Operation 4 on Machine 0 : 26 + 1 -> 27
Job 10 Operation 3 on Machine 6 : 26 + 1 -> 27
Job 7 Operation 3 on Machine 1 : 27 + 6 -> 33
Job 10 Operation 4 on Machine 2 : 27 + 9 -> 36
Job 0 Operation 6 on Machine 13 : 27 + 2 -> 29
Job 0 Operation 7 on Machine 3 : 29 + 1 -> 30
Job 9 Operation 2 on Machine 4 : 29 + 11 -> 40
Job 12 Operation 2 on Machine 11 : 29 + 4 -> 33
Job 14 Operation 1 on Machine 13 : 29 + 9 -> 38
Job 1 Operation 3 on Machine 14 : 29 + 5 -> 34
Job 0 Operation 8 on Machine 0 : 30 + 11 -> 41
Job 5 Operation 0 on Machine 3 : 30 + 13 -> 43
Job 4 Operation 4 on Machine 7 : 30 + 8 -> 38
Job 6 Operation 7 on Machine 10 : 32 + 13 -> 45
Job 12 Operation 3 on Machine 1 : 33 + 6 -> 39
Job 7 Operation 4 on Machine 12 : 33 + 13 -> 46
Job 14 Operation 2 on Machine 5 : 38 + 9 -> 47
Job 4 Operation 5 on Machine 11 : 38 + 6 -> 44
Job 13 Operation 4 on Machine 13 : 38 + 8 -> 46
Job 10 Operation 5 on Machine 1 : 39 + 4 -> 43
Job 12 Operation 4 on Machine 7 : 39 + 3 -> 42
Job 0 Operation 9 on Machine 4 : 41 + 1 -> 42
Job 0 Operation 10 on Machine 2 : 42 + 10 -> 52
Job 3 Operation 5 on Machine 7 : 42 + 9 -> 51
Job 12 Operation 5 on Machine 14 : 42 + 4 -> 46
Job 5 Operation 1 on Machine 0 : 43 + 12 -> 55
Job 8 Operation 2 on Machine 1 : 43 + 13 -> 56
Job 10 Operation 6 on Machine 3 : 43 + 13 -> 56
Job 4 Operation 6 on Machine 8 : 44 + 1 -> 45
Job 6 Operation 8 on Machine 8 : 45 + 8 -> 53
Job 4 Operation 7 on Machine 10 : 45 + 12 -> 57
Job 13 Operation 5 on Machine 4 : 46 + 2 -> 48
Job 7 Operation 5 on Machine 13 : 46 + 11 -> 57
Job 9 Operation 3 on Machine 5 : 47 + 1 -> 48
Job 14 Operation 3 on Machine 9 : 47 + 6 -> 53
Job 11 Operation 5 on Machine 4 : 48 + 10 -> 58
Job 9 Operation 4 on Machine 6 : 48 + 2 -> 50
Job 13 Operation 6 on Machine 12 : 48 + 4 -> 52
Job 0 Operation 11 on Machine 5 : 52 + 13 -> 65
Job 6 Operation 9 on Machine 2 : 53 + 9 -> 62
Job 12 Operation 6 on Machine 8 : 53 + 8 -> 61
Job 13 Operation 7 on Machine 9 : 53 + 3 -> 56
Job 14 Operation 4 on Machine 11 : 53 + 10 -> 63
Job 8 Operation 3 on Machine 12 : 56 + 2 -> 58
Job 4 Operation 8 on Machine 3 : 57 + 2 -> 59
Job 7 Operation 6 on Machine 7 : 57 + 9 -> 66
Job 9 Operation 5 on Machine 10 : 57 + 3 -> 60
Job 5 Operation 2 on Machine 4 : 58 + 6 -> 64
Job 1 Operation 4 on Machine 3 : 59 + 8 -> 67
Job 4 Operation 9 on Machine 9 : 59 + 3 -> 62
Job 9 Operation 6 on Machine 1 : 60 + 6 -> 66
Job 8 Operation 4 on Machine 8 : 61 + 2 -> 63
Job 4 Operation 10 on Machine 2 : 62 + 3 -> 65
Job 14 Operation 5 on Machine 0 : 63 + 7 -> 70
Job 3 Operation 6 on Machine 8 : 63 + 8 -> 71
Job 8 Operation 5 on Machine 13 : 63 + 6 -> 69
Job 2 Operation 2 on Machine 4 : 64 + 7 -> 71
Job 5 Operation 3 on Machine 9 : 64 + 10 -> 74
Job 11 Operation 6 on Machine 2 : 65 + 7 -> 72
Job 12 Operation 7 on Machine 5 : 65 + 7 -> 72
Job 4 Operation 11 on Machine 6 : 65 + 12 -> 77
Job 0 Operation 12 on Machine 14 : 65 + 5 -> 70
Job 13 Operation 8 on Machine 7 : 66 + 4 -> 70
Job 9 Operation 7 on Machine 11 : 66 + 2 -> 68
Job 1 Operation 5 on Machine 1 : 67 + 2 -> 69
Job 10 Operation 7 on Machine 11 : 68 + 9 -> 77
Job 8 Operation 6 on Machine 3 : 69 + 5 -> 74
Job 1 Operation 6 on Machine 12 : 69 + 2 -> 71
Job 14 Operation 6 on Machine 1 : 70 + 10 -> 80
Job 0 Operation 13 on Machine 7 : 70 + 13 -> 83
Job 9 Operation 8 on Machine 8 : 71 + 13 -> 84
Job 2 Operation 3 on Machine 2 : 72 + 13 -> 85
Job 12 Operation 8 on Machine 4 : 72 + 5 -> 77
Job 3 Operation 7 on Machine 5 : 72 + 8 -> 80
Job 6 Operation 10 on Machine 3 : 74 + 9 -> 83
Job 11 Operation 7 on Machine 9 : 74 + 3 -> 77
Job 5 Operation 4 on Machine 13 : 74 + 2 -> 76
Job 5 Operation 5 on Machine 10 : 76 + 9 -> 85
Job 4 Operation 12 on Machine 0 : 77 + 13 -> 90
Job 7 Operation 7 on Machine 6 : 77 + 6 -> 83
Job 8 Operation 7 on Machine 5 : 80 + 10 -> 90
Job 3 Operation 8 on Machine 13 : 80 + 2 -> 82
Job 3 Operation 9 on Machine 1 : 82 + 7 -> 89
Job 11 Operation 8 on Machine 3 : 83 + 9 -> 92
Job 0 Operation 14 on Machine 9 : 83 + 13 -> 96
Job 6 Operation 11 on Machine 13 : 83 + 8 -> 91
Job 7 Operation 8 on Machine 14 : 83 + 11 -> 94
Job 1 Operation 7 on Machine 8 : 84 + 8 -> 92
Job 9 Operation 9 on Machine 12 : 84 + 13 -> 97
Job 14 Operation 7 on Machine 2 : 85 + 13 -> 98
Job 2 Operation 4 on Machine 7 : 85 + 1 -> 86
Job 10 Operation 8 on Machine 7 : 86 + 7 -> 93
Job 2 Operation 5 on Machine 10 : 86 + 1 -> 87
Job 12 Operation 9 on Machine 10 : 87 + 12 -> 99
Job 2 Operation 6 on Machine 0 : 90 + 9 -> 99
Job 5 Operation 6 on Machine 5 : 90 + 10 -> 100
Job 8 Operation 8 on Machine 11 : 90 + 12 -> 102
Job 11 Operation 9 on Machine 6 : 92 + 9 -> 101
Job 1 Operation 8 on Machine 7 : 93 + 7 -> 100
Job 4 Operation 13 on Machine 14 : 94 + 10 -> 104
Job 13 Operation 9 on Machine 2 : 98 + 8 -> 106
Job 14 Operation 8 on Machine 8 : 98 + 9 -> 107
Job 9 Operation 10 on Machine 0 : 99 + 1 -> 100
Job 2 Operation 7 on Machine 3 : 99 + 1 -> 100
Job 12 Operation 10 on Machine 9 : 99 + 5 -> 104
Job 9 Operation 11 on Machine 3 : 100 + 2 -> 102
Job 10 Operation 9 on Machine 5 : 100 + 7 -> 107
Job 1 Operation 9 on Machine 10 : 100 + 10 -> 110
Job 11 Operation 10 on Machine 12 : 101 + 9 -> 110
Job 8 Operation 9 on Machine 7 : 102 + 9 -> 111
Job 3 Operation 10 on Machine 11 : 102 + 12 -> 114
Job 9 Operation 12 on Machine 9 : 104 + 8 -> 112
Job 5 Operation 7 on Machine 14 : 104 + 8 -> 112
Job 13 Operation 10 on Machine 3 : 106 + 3 -> 109
Job 10 Operation 10 on Machine 4 : 107 + 3 -> 110
Job 2 Operation 8 on Machine 5 : 107 + 6 -> 113
Job 14 Operation 9 on Machine 4 : 110 + 10 -> 120
Job 7 Operation 9 on Machine 10 : 110 + 12 -> 122
Job 12 Operation 11 on Machine 12 : 110 + 5 -> 115
Job 10 Operation 11 on Machine 13 : 110 + 7 -> 117
Job 8 Operation 10 on Machine 0 : 111 + 5 -> 116
Job 11 Operation 11 on Machine 7 : 111 + 3 -> 114
Job 5 Operation 8 on Machine 8 : 112 + 3 -> 115
Job 9 Operation 13 on Machine 14 : 112 + 7 -> 119
Job 6 Operation 12 on Machine 5 : 113 + 8 -> 121
Job 3 Operation 11 on Machine 6 : 114 + 6 -> 120
Job 1 Operation 10 on Machine 11 : 114 + 7 -> 121
Job 5 Operation 9 on Machine 1 : 115 + 1 -> 116
Job 4 Operation 14 on Machine 12 : 115 + 5 -> 120
Job 13 Operation 11 on Machine 1 : 116 + 12 -> 128
Job 8 Operation 11 on Machine 2 : 116 + 13 -> 129
Job 12 Operation 12 on Machine 13 : 117 + 11 -> 128
Job 10 Operation 12 on Machine 14 : 119 + 13 -> 132
Job 2 Operation 9 on Machine 6 : 120 + 10 -> 130
Job 14 Operation 10 on Machine 7 : 120 + 11 -> 131
Job 3 Operation 12 on Machine 9 : 120 + 9 -> 129
Job 1 Operation 11 on Machine 5 : 121 + 9 -> 130
Job 5 Operation 10 on Machine 11 : 121 + 8 -> 129
Job 6 Operation 13 on Machine 12 : 121 + 13 -> 134
Job 7 Operation 10 on Machine 4 : 122 + 9 -> 131
Job 12 Operation 13 on Machine 0 : 128 + 4 -> 132
Job 11 Operation 12 on Machine 13 : 128 + 9 -> 137
Job 5 Operation 11 on Machine 2 : 129 + 8 -> 137
Job 8 Operation 12 on Machine 9 : 129 + 13 -> 142
Job 3 Operation 13 on Machine 10 : 129 + 2 -> 131
Job 1 Operation 12 on Machine 6 : 130 + 6 -> 136
Job 13 Operation 12 on Machine 10 : 131 + 4 -> 135
Job 7 Operation 11 on Machine 11 : 131 + 4 -> 135
Job 3 Operation 14 on Machine 14 : 132 + 10 -> 142
Job 14 Operation 11 on Machine 12 : 134 + 2 -> 136
Job 7 Operation 12 on Machine 5 : 135 + 1 -> 136
Job 13 Operation 13 on Machine 8 : 135 + 13 -> 148
Job 7 Operation 13 on Machine 0 : 136 + 11 -> 147
Job 12 Operation 14 on Machine 6 : 136 + 5 -> 141
Job 2 Operation 10 on Machine 12 : 136 + 5 -> 141
Job 9 Operation 14 on Machine 2 : 137 + 5 -> 142
Job 11 Operation 13 on Machine 10 : 137 + 4 -> 141
Job 1 Operation 13 on Machine 13 : 137 + 9 -> 146
Job 2 Operation 11 on Machine 1 : 141 + 1 -> 142
Job 14 Operation 12 on Machine 6 : 141 + 1 -> 142
Job 5 Operation 12 on Machine 12 : 141 + 4 -> 145
Job 14 Operation 13 on Machine 3 : 142 + 4 -> 146
Job 8 Operation 13 on Machine 6 : 142 + 9 -> 151
Job 2 Operation 12 on Machine 9 : 142 + 4 -> 146
Job 11 Operation 14 on Machine 14 : 142 + 7 -> 149
Job 5 Operation 13 on Machine 7 : 145 + 1 -> 146
Job 10 Operation 13 on Machine 12 : 145 + 8 -> 153
Job 1 Operation 14 on Machine 2 : 146 + 5 -> 151
Job 6 Operation 14 on Machine 0 : 147 + 3 -> 150
Job 7 Operation 14 on Machine 9 : 147 + 11 -> 158
Job 13 Operation 14 on Machine 5 : 148 + 6 -> 154
Job 2 Operation 13 on Machine 8 : 148 + 3 -> 151
Job 14 Operation 14 on Machine 14 : 149 + 4 -> 153
Job 5 Operation 14 on Machine 6 : 151 + 7 -> 158
Job 2 Operation 14 on Machine 11 : 151 + 5 -> 156
Job 10 Operation 14 on Machine 10 : 153 + 4 -> 157
Job 8 Operation 14 on Machine 14 : 153 + 4 -> 157
Makespan: 158.0, as it is the maximum end completion time of Operation 14
| 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 4 duration 56 mins.
Operation 1 on Machine 2 duration 274 mins.
Operation 2 on Machine 3 duration 99 mins.
Operation 3 on Machine 0 duration 173 mins.
Operation 4 on Machine 1 duration 185 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 235 mins.
Operation 1 on Machine 3 duration 27 mins.
Operation 2 on Machine 2 duration 151 mins.
Operation 3 on Machine 0 duration 229 mins.
Operation 4 on Machine 1 duration 67 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 12 mins.
Operation 1 on Machine 1 duration 306 mins.
Operation 2 on Machine 4 duration 104 mins.
Operation 3 on Machine 2 duration 205 mins.
Operation 4 on Machine 0 duration 53 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 62 mins.
Operation 1 on Machine 4 duration 65 mins.
Operation 2 on Machine 3 duration 330 mins.
Operation 3 on Machine 1 duration 269 mins.
Operation 4 on Machine 2 duration 110 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 24 mins.
Operation 1 on Machine 2 duration 258 mins.
Operation 2 on Machine 3 duration 239 mins.
Operation 3 on Machine 1 duration 197 mins.
Operation 4 on Machine 4 duration 88 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 3 Operation 0 duration 62 mins.
Job 4 Operation 0 duration 24 mins.
Job 0 Operation 3 duration 173 mins.
Job 1 Operation 3 duration 229 mins.
Job 2 Operation 4 duration 53 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 1 duration 306 mins.
Job 3 Operation 3 duration 269 mins.
Job 4 Operation 3 duration 197 mins.
Job 0 Operation 4 duration 185 mins.
Job 1 Operation 4 duration 67 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 274 mins.
Job 4 Operation 1 duration 258 mins.
Job 1 Operation 2 duration 151 mins.
Job 2 Operation 3 duration 205 mins.
Job 3 Operation 4 duration 110 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 12 mins.
Job 1 Operation 1 duration 27 mins.
Job 0 Operation 2 duration 99 mins.
Job 3 Operation 2 duration 330 mins.
Job 4 Operation 2 duration 239 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 56 mins.
Job 1 Operation 0 duration 235 mins.
Job 3 Operation 1 duration 65 mins.
Job 2 Operation 2 duration 104 mins.
Job 4 Operation 4 duration 88 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 62 -> 62
Job 2 Operation 0 on Machine 3 : 0 + 12 -> 12
Job 0 Operation 0 on Machine 4 : 0 + 56 -> 56
Job 2 Operation 1 on Machine 1 : 12 + 306 -> 318
Job 0 Operation 1 on Machine 2 : 56 + 274 -> 330
Job 4 Operation 0 on Machine 0 : 62 + 24 -> 86
Job 3 Operation 1 on Machine 4 : 62 + 65 -> 127
Job 3 Operation 2 on Machine 3 : 127 + 330 -> 457
Job 1 Operation 0 on Machine 4 : 127 + 235 -> 362
Job 4 Operation 1 on Machine 2 : 330 + 258 -> 588
Job 2 Operation 2 on Machine 4 : 362 + 104 -> 466
Job 3 Operation 3 on Machine 1 : 457 + 269 -> 726
Job 0 Operation 2 on Machine 3 : 457 + 99 -> 556
Job 0 Operation 3 on Machine 0 : 556 + 173 -> 729
Job 1 Operation 1 on Machine 3 : 556 + 27 -> 583
Job 1 Operation 2 on Machine 2 : 588 + 151 -> 739
Job 4 Operation 2 on Machine 3 : 588 + 239 -> 827
Job 0 Operation 4 on Machine 1 : 729 + 185 -> 914
Job 1 Operation 3 on Machine 0 : 739 + 229 -> 968
Job 3 Operation 4 on Machine 2 : 739 + 110 -> 849
Job 2 Operation 3 on Machine 2 : 849 + 205 -> 1054
Job 4 Operation 3 on Machine 1 : 914 + 197 -> 1111
Job 2 Operation 4 on Machine 0 : 1054 + 53 -> 1107
Job 1 Operation 4 on Machine 1 : 1111 + 67 -> 1178
Job 4 Operation 4 on Machine 4 : 1111 + 88 -> 1199
Makespan: 1199.0, as it is the maximum end completion time of Operation 4
| null |
|
6 | 5 |
Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 257 mins.
Operation 1 on Machine 1 duration 37 mins.
Operation 2 on Machine 2 duration 110 mins.
Operation 3 on Machine 4 duration 320 mins.
Operation 4 on Machine 3 duration 300 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 203 mins.
Operation 1 on Machine 0 duration 49 mins.
Operation 2 on Machine 2 duration 282 mins.
Operation 3 on Machine 3 duration 86 mins.
Operation 4 on Machine 4 duration 80 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 348 mins.
Operation 1 on Machine 2 duration 303 mins.
Operation 2 on Machine 3 duration 290 mins.
Operation 3 on Machine 0 duration 2 mins.
Operation 4 on Machine 4 duration 93 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 304 mins.
Operation 1 on Machine 2 duration 46 mins.
Operation 2 on Machine 1 duration 250 mins.
Operation 3 on Machine 3 duration 354 mins.
Operation 4 on Machine 4 duration 297 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 190 mins.
Operation 1 on Machine 3 duration 215 mins.
Operation 2 on Machine 2 duration 329 mins.
Operation 3 on Machine 1 duration 263 mins.
Operation 4 on Machine 0 duration 316 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 223 mins.
Operation 1 on Machine 4 duration 71 mins.
Operation 2 on Machine 0 duration 119 mins.
Operation 3 on Machine 2 duration 69 mins.
Operation 4 on Machine 3 duration 5 mins.
| null |
Optimize schedule for 6 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 257 mins.
Job 3 Operation 0 duration 304 mins.
Job 1 Operation 1 duration 49 mins.
Job 5 Operation 2 duration 119 mins.
Job 2 Operation 3 duration 2 mins.
Job 4 Operation 4 duration 316 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 203 mins.
Job 2 Operation 0 duration 348 mins.
Job 5 Operation 0 duration 223 mins.
Job 0 Operation 1 duration 37 mins.
Job 3 Operation 2 duration 250 mins.
Job 4 Operation 3 duration 263 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 1 duration 303 mins.
Job 3 Operation 1 duration 46 mins.
Job 0 Operation 2 duration 110 mins.
Job 1 Operation 2 duration 282 mins.
Job 4 Operation 2 duration 329 mins.
Job 5 Operation 3 duration 69 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 1 duration 215 mins.
Job 2 Operation 2 duration 290 mins.
Job 1 Operation 3 duration 86 mins.
Job 3 Operation 3 duration 354 mins.
Job 0 Operation 4 duration 300 mins.
Job 5 Operation 4 duration 5 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 190 mins.
Job 5 Operation 1 duration 71 mins.
Job 0 Operation 3 duration 320 mins.
Job 1 Operation 4 duration 80 mins.
Job 2 Operation 4 duration 93 mins.
Job 3 Operation 4 duration 297 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 304 -> 304
Job 2 Operation 0 on Machine 1 : 0 + 348 -> 348
Job 4 Operation 0 on Machine 4 : 0 + 190 -> 190
Job 4 Operation 1 on Machine 3 : 190 + 215 -> 405
Job 0 Operation 0 on Machine 0 : 304 + 257 -> 561
Job 3 Operation 1 on Machine 2 : 304 + 46 -> 350
Job 3 Operation 2 on Machine 1 : 350 + 250 -> 600
Job 2 Operation 1 on Machine 2 : 350 + 303 -> 653
Job 0 Operation 1 on Machine 1 : 600 + 37 -> 637
Job 3 Operation 3 on Machine 3 : 600 + 354 -> 954
Job 1 Operation 0 on Machine 1 : 637 + 203 -> 840
Job 0 Operation 2 on Machine 2 : 653 + 110 -> 763
Job 4 Operation 2 on Machine 2 : 763 + 329 -> 1092
Job 0 Operation 3 on Machine 4 : 763 + 320 -> 1083
Job 1 Operation 1 on Machine 0 : 840 + 49 -> 889
Job 5 Operation 0 on Machine 1 : 840 + 223 -> 1063
Job 2 Operation 2 on Machine 3 : 954 + 290 -> 1244
Job 5 Operation 1 on Machine 4 : 1083 + 71 -> 1154
Job 4 Operation 3 on Machine 1 : 1092 + 263 -> 1355
Job 1 Operation 2 on Machine 2 : 1092 + 282 -> 1374
Job 5 Operation 2 on Machine 0 : 1154 + 119 -> 1273
Job 3 Operation 4 on Machine 4 : 1154 + 297 -> 1451
Job 0 Operation 4 on Machine 3 : 1244 + 300 -> 1544
Job 2 Operation 3 on Machine 0 : 1273 + 2 -> 1275
Job 4 Operation 4 on Machine 0 : 1355 + 316 -> 1671
Job 5 Operation 3 on Machine 2 : 1374 + 69 -> 1443
Job 2 Operation 4 on Machine 4 : 1451 + 93 -> 1544
Job 1 Operation 3 on Machine 3 : 1544 + 86 -> 1630
Job 5 Operation 4 on Machine 3 : 1630 + 5 -> 1635
Job 1 Operation 4 on Machine 4 : 1630 + 80 -> 1710
Makespan: 1710.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 2 |
Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 178 mins.
Operation 1 on Machine 1 duration 111 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 33 mins.
Operation 1 on Machine 1 duration 110 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 50 mins.
Operation 1 on Machine 0 duration 125 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 219 mins.
Operation 1 on Machine 0 duration 211 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 263 mins.
Operation 1 on Machine 0 duration 221 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 207 mins.
Operation 1 on Machine 0 duration 142 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 273 mins.
Operation 1 on Machine 0 duration 236 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 104 mins.
Operation 1 on Machine 1 duration 151 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 194 mins.
Operation 1 on Machine 1 duration 120 mins.
| null |
Optimize schedule for 9 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 178 mins.
Job 1 Operation 0 duration 33 mins.
Job 7 Operation 0 duration 104 mins.
Job 8 Operation 0 duration 194 mins.
Job 2 Operation 1 duration 125 mins.
Job 3 Operation 1 duration 211 mins.
Job 4 Operation 1 duration 221 mins.
Job 5 Operation 1 duration 142 mins.
Job 6 Operation 1 duration 236 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 50 mins.
Job 3 Operation 0 duration 219 mins.
Job 4 Operation 0 duration 263 mins.
Job 5 Operation 0 duration 207 mins.
Job 6 Operation 0 duration 273 mins.
Job 0 Operation 1 duration 111 mins.
Job 1 Operation 1 duration 110 mins.
Job 7 Operation 1 duration 151 mins.
Job 8 Operation 1 duration 120 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 33 -> 33
Job 6 Operation 0 on Machine 1 : 0 + 273 -> 273
Job 8 Operation 0 on Machine 0 : 33 + 194 -> 227
Job 6 Operation 1 on Machine 0 : 273 + 236 -> 509
Job 8 Operation 1 on Machine 1 : 273 + 120 -> 393
Job 2 Operation 0 on Machine 1 : 393 + 50 -> 443
Job 5 Operation 0 on Machine 1 : 443 + 207 -> 650
Job 2 Operation 1 on Machine 0 : 509 + 125 -> 634
Job 0 Operation 0 on Machine 0 : 634 + 178 -> 812
Job 4 Operation 0 on Machine 1 : 650 + 263 -> 913
Job 7 Operation 0 on Machine 0 : 812 + 104 -> 916
Job 1 Operation 1 on Machine 1 : 913 + 110 -> 1023
Job 4 Operation 1 on Machine 0 : 916 + 221 -> 1137
Job 3 Operation 0 on Machine 1 : 1023 + 219 -> 1242
Job 5 Operation 1 on Machine 0 : 1137 + 142 -> 1279
Job 0 Operation 1 on Machine 1 : 1242 + 111 -> 1353
Job 3 Operation 1 on Machine 0 : 1279 + 211 -> 1490
Job 7 Operation 1 on Machine 1 : 1353 + 151 -> 1504
Makespan: 1504.0, as it is the maximum end completion time of Operation 1
| null |
|
10 | 10 |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 8 duration 118 mins.
Operation 1 on Machine 3 duration 10 mins.
Operation 2 on Machine 0 duration 90 mins.
Operation 3 on Machine 4 duration 108 mins.
Operation 4 on Machine 9 duration 101 mins.
Operation 5 on Machine 5 duration 17 mins.
Operation 6 on Machine 1 duration 150 mins.
Operation 7 on Machine 6 duration 116 mins.
Operation 8 on Machine 2 duration 21 mins.
Operation 9 on Machine 7 duration 54 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 70 mins.
Operation 1 on Machine 8 duration 172 mins.
Operation 2 on Machine 0 duration 12 mins.
Operation 3 on Machine 1 duration 171 mins.
Operation 4 on Machine 6 duration 163 mins.
Operation 5 on Machine 9 duration 181 mins.
Operation 6 on Machine 5 duration 70 mins.
Operation 7 on Machine 4 duration 68 mins.
Operation 8 on Machine 7 duration 47 mins.
Operation 9 on Machine 3 duration 172 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 93 mins.
Operation 1 on Machine 4 duration 87 mins.
Operation 2 on Machine 6 duration 61 mins.
Operation 3 on Machine 5 duration 123 mins.
Operation 4 on Machine 2 duration 135 mins.
Operation 5 on Machine 9 duration 57 mins.
Operation 6 on Machine 1 duration 183 mins.
Operation 7 on Machine 8 duration 1 mins.
Operation 8 on Machine 7 duration 71 mins.
Operation 9 on Machine 0 duration 143 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 160 mins.
Operation 1 on Machine 7 duration 37 mins.
Operation 2 on Machine 0 duration 99 mins.
Operation 3 on Machine 5 duration 21 mins.
Operation 4 on Machine 3 duration 73 mins.
Operation 5 on Machine 4 duration 41 mins.
Operation 6 on Machine 2 duration 105 mins.
Operation 7 on Machine 6 duration 87 mins.
Operation 8 on Machine 8 duration 157 mins.
Operation 9 on Machine 9 duration 144 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 125 mins.
Operation 1 on Machine 2 duration 1 mins.
Operation 2 on Machine 8 duration 4 mins.
Operation 3 on Machine 6 duration 73 mins.
Operation 4 on Machine 1 duration 33 mins.
Operation 5 on Machine 9 duration 90 mins.
Operation 6 on Machine 0 duration 57 mins.
Operation 7 on Machine 7 duration 26 mins.
Operation 8 on Machine 4 duration 148 mins.
Operation 9 on Machine 3 duration 143 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 8 duration 93 mins.
Operation 1 on Machine 3 duration 66 mins.
Operation 2 on Machine 7 duration 111 mins.
Operation 3 on Machine 0 duration 170 mins.
Operation 4 on Machine 6 duration 114 mins.
Operation 5 on Machine 5 duration 8 mins.
Operation 6 on Machine 4 duration 163 mins.
Operation 7 on Machine 9 duration 24 mins.
Operation 8 on Machine 1 duration 30 mins.
Operation 9 on Machine 2 duration 112 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 149 mins.
Operation 1 on Machine 3 duration 139 mins.
Operation 2 on Machine 7 duration 17 mins.
Operation 3 on Machine 1 duration 102 mins.
Operation 4 on Machine 8 duration 148 mins.
Operation 5 on Machine 0 duration 142 mins.
Operation 6 on Machine 5 duration 94 mins.
Operation 7 on Machine 9 duration 57 mins.
Operation 8 on Machine 2 duration 149 mins.
Operation 9 on Machine 4 duration 125 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 184 mins.
Operation 1 on Machine 8 duration 135 mins.
Operation 2 on Machine 0 duration 72 mins.
Operation 3 on Machine 7 duration 59 mins.
Operation 4 on Machine 1 duration 33 mins.
Operation 5 on Machine 4 duration 151 mins.
Operation 6 on Machine 9 duration 184 mins.
Operation 7 on Machine 2 duration 67 mins.
Operation 8 on Machine 3 duration 103 mins.
Operation 9 on Machine 5 duration 134 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 7 duration 77 mins.
Operation 1 on Machine 0 duration 140 mins.
Operation 2 on Machine 3 duration 48 mins.
Operation 3 on Machine 4 duration 40 mins.
Operation 4 on Machine 6 duration 1 mins.
Operation 5 on Machine 5 duration 125 mins.
Operation 6 on Machine 8 duration 65 mins.
Operation 7 on Machine 1 duration 50 mins.
Operation 8 on Machine 2 duration 9 mins.
Operation 9 on Machine 9 duration 182 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 6 duration 90 mins.
Operation 1 on Machine 5 duration 141 mins.
Operation 2 on Machine 9 duration 6 mins.
Operation 3 on Machine 1 duration 92 mins.
Operation 4 on Machine 4 duration 67 mins.
Operation 5 on Machine 3 duration 87 mins.
Operation 6 on Machine 8 duration 78 mins.
Operation 7 on Machine 0 duration 30 mins.
Operation 8 on Machine 2 duration 142 mins.
Operation 9 on Machine 7 duration 98 mins.
| null |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 8 Operation 1 duration 140 mins.
Job 0 Operation 2 duration 90 mins.
Job 1 Operation 2 duration 12 mins.
Job 3 Operation 2 duration 99 mins.
Job 7 Operation 2 duration 72 mins.
Job 5 Operation 3 duration 170 mins.
Job 6 Operation 5 duration 142 mins.
Job 4 Operation 6 duration 57 mins.
Job 9 Operation 7 duration 30 mins.
Job 2 Operation 9 duration 143 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 160 mins.
Job 1 Operation 3 duration 171 mins.
Job 6 Operation 3 duration 102 mins.
Job 9 Operation 3 duration 92 mins.
Job 4 Operation 4 duration 33 mins.
Job 7 Operation 4 duration 33 mins.
Job 0 Operation 6 duration 150 mins.
Job 2 Operation 6 duration 183 mins.
Job 8 Operation 7 duration 50 mins.
Job 5 Operation 8 duration 30 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 70 mins.
Job 4 Operation 1 duration 1 mins.
Job 2 Operation 4 duration 135 mins.
Job 3 Operation 6 duration 105 mins.
Job 7 Operation 7 duration 67 mins.
Job 0 Operation 8 duration 21 mins.
Job 6 Operation 8 duration 149 mins.
Job 8 Operation 8 duration 9 mins.
Job 9 Operation 8 duration 142 mins.
Job 5 Operation 9 duration 112 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 93 mins.
Job 0 Operation 1 duration 10 mins.
Job 5 Operation 1 duration 66 mins.
Job 6 Operation 1 duration 139 mins.
Job 8 Operation 2 duration 48 mins.
Job 3 Operation 4 duration 73 mins.
Job 9 Operation 5 duration 87 mins.
Job 7 Operation 8 duration 103 mins.
Job 1 Operation 9 duration 172 mins.
Job 4 Operation 9 duration 143 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 1 duration 87 mins.
Job 0 Operation 3 duration 108 mins.
Job 8 Operation 3 duration 40 mins.
Job 9 Operation 4 duration 67 mins.
Job 3 Operation 5 duration 41 mins.
Job 7 Operation 5 duration 151 mins.
Job 5 Operation 6 duration 163 mins.
Job 1 Operation 7 duration 68 mins.
Job 4 Operation 8 duration 148 mins.
Job 6 Operation 9 duration 125 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 0 duration 125 mins.
Job 9 Operation 1 duration 141 mins.
Job 2 Operation 3 duration 123 mins.
Job 3 Operation 3 duration 21 mins.
Job 0 Operation 5 duration 17 mins.
Job 5 Operation 5 duration 8 mins.
Job 8 Operation 5 duration 125 mins.
Job 1 Operation 6 duration 70 mins.
Job 6 Operation 6 duration 94 mins.
Job 7 Operation 9 duration 134 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 0 duration 149 mins.
Job 7 Operation 0 duration 184 mins.
Job 9 Operation 0 duration 90 mins.
Job 2 Operation 2 duration 61 mins.
Job 4 Operation 3 duration 73 mins.
Job 1 Operation 4 duration 163 mins.
Job 5 Operation 4 duration 114 mins.
Job 8 Operation 4 duration 1 mins.
Job 0 Operation 7 duration 116 mins.
Job 3 Operation 7 duration 87 mins.
Machine 7 is used for the following Operations:
Job 8 Operation 0 duration 77 mins.
Job 3 Operation 1 duration 37 mins.
Job 5 Operation 2 duration 111 mins.
Job 6 Operation 2 duration 17 mins.
Job 7 Operation 3 duration 59 mins.
Job 4 Operation 7 duration 26 mins.
Job 1 Operation 8 duration 47 mins.
Job 2 Operation 8 duration 71 mins.
Job 0 Operation 9 duration 54 mins.
Job 9 Operation 9 duration 98 mins.
Machine 8 is used for the following Operations:
Job 0 Operation 0 duration 118 mins.
Job 5 Operation 0 duration 93 mins.
Job 1 Operation 1 duration 172 mins.
Job 7 Operation 1 duration 135 mins.
Job 4 Operation 2 duration 4 mins.
Job 6 Operation 4 duration 148 mins.
Job 8 Operation 6 duration 65 mins.
Job 9 Operation 6 duration 78 mins.
Job 2 Operation 7 duration 1 mins.
Job 3 Operation 8 duration 157 mins.
Machine 9 is used for the following Operations:
Job 9 Operation 2 duration 6 mins.
Job 0 Operation 4 duration 101 mins.
Job 1 Operation 5 duration 181 mins.
Job 2 Operation 5 duration 57 mins.
Job 4 Operation 5 duration 90 mins.
Job 7 Operation 6 duration 184 mins.
Job 5 Operation 7 duration 24 mins.
Job 6 Operation 7 duration 57 mins.
Job 3 Operation 9 duration 144 mins.
Job 8 Operation 9 duration 182 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 1 : 0 + 160 -> 160
Job 1 Operation 0 on Machine 2 : 0 + 70 -> 70
Job 2 Operation 0 on Machine 3 : 0 + 93 -> 93
Job 4 Operation 0 on Machine 5 : 0 + 125 -> 125
Job 7 Operation 0 on Machine 6 : 0 + 184 -> 184
Job 8 Operation 0 on Machine 7 : 0 + 77 -> 77
Job 0 Operation 0 on Machine 8 : 0 + 118 -> 118
Job 8 Operation 1 on Machine 0 : 77 + 140 -> 217
Job 2 Operation 1 on Machine 4 : 93 + 87 -> 180
Job 0 Operation 1 on Machine 3 : 118 + 10 -> 128
Job 1 Operation 1 on Machine 8 : 118 + 172 -> 290
Job 4 Operation 1 on Machine 2 : 125 + 1 -> 126
Job 3 Operation 1 on Machine 7 : 160 + 37 -> 197
Job 6 Operation 0 on Machine 6 : 184 + 149 -> 333
Job 0 Operation 2 on Machine 0 : 217 + 90 -> 307
Job 8 Operation 2 on Machine 3 : 217 + 48 -> 265
Job 8 Operation 3 on Machine 4 : 265 + 40 -> 305
Job 4 Operation 2 on Machine 8 : 290 + 4 -> 294
Job 7 Operation 1 on Machine 8 : 294 + 135 -> 429
Job 1 Operation 2 on Machine 0 : 307 + 12 -> 319
Job 0 Operation 3 on Machine 4 : 307 + 108 -> 415
Job 3 Operation 2 on Machine 0 : 319 + 99 -> 418
Job 1 Operation 3 on Machine 1 : 319 + 171 -> 490
Job 6 Operation 1 on Machine 3 : 333 + 139 -> 472
Job 2 Operation 2 on Machine 6 : 333 + 61 -> 394
Job 2 Operation 3 on Machine 5 : 394 + 123 -> 517
Job 8 Operation 4 on Machine 6 : 394 + 1 -> 395
Job 4 Operation 3 on Machine 6 : 395 + 73 -> 468
Job 0 Operation 4 on Machine 9 : 415 + 101 -> 516
Job 7 Operation 2 on Machine 0 : 429 + 72 -> 501
Job 5 Operation 0 on Machine 8 : 429 + 93 -> 522
Job 9 Operation 0 on Machine 6 : 468 + 90 -> 558
Job 6 Operation 2 on Machine 7 : 472 + 17 -> 489
Job 4 Operation 4 on Machine 1 : 490 + 33 -> 523
Job 7 Operation 3 on Machine 7 : 501 + 59 -> 560
Job 2 Operation 4 on Machine 2 : 517 + 135 -> 652
Job 3 Operation 3 on Machine 5 : 517 + 21 -> 538
Job 5 Operation 1 on Machine 3 : 522 + 66 -> 588
Job 4 Operation 5 on Machine 9 : 523 + 90 -> 613
Job 0 Operation 5 on Machine 5 : 538 + 17 -> 555
Job 9 Operation 1 on Machine 5 : 558 + 141 -> 699
Job 1 Operation 4 on Machine 6 : 558 + 163 -> 721
Job 7 Operation 4 on Machine 1 : 560 + 33 -> 593
Job 3 Operation 4 on Machine 3 : 588 + 73 -> 661
Job 5 Operation 2 on Machine 7 : 588 + 111 -> 699
Job 6 Operation 3 on Machine 1 : 593 + 102 -> 695
Job 7 Operation 5 on Machine 4 : 593 + 151 -> 744
Job 4 Operation 6 on Machine 0 : 613 + 57 -> 670
Job 2 Operation 5 on Machine 9 : 652 + 57 -> 709
Job 6 Operation 4 on Machine 8 : 695 + 148 -> 843
Job 5 Operation 3 on Machine 0 : 699 + 170 -> 869
Job 8 Operation 5 on Machine 5 : 699 + 125 -> 824
Job 4 Operation 7 on Machine 7 : 699 + 26 -> 725
Job 9 Operation 2 on Machine 9 : 709 + 6 -> 715
Job 9 Operation 3 on Machine 1 : 715 + 92 -> 807
Job 3 Operation 5 on Machine 4 : 744 + 41 -> 785
Job 7 Operation 6 on Machine 9 : 744 + 184 -> 928
Job 3 Operation 6 on Machine 2 : 785 + 105 -> 890
Job 0 Operation 6 on Machine 1 : 807 + 150 -> 957
Job 9 Operation 4 on Machine 4 : 807 + 67 -> 874
Job 8 Operation 6 on Machine 8 : 843 + 65 -> 908
Job 6 Operation 5 on Machine 0 : 869 + 142 -> 1011
Job 5 Operation 4 on Machine 6 : 869 + 114 -> 983
Job 9 Operation 5 on Machine 3 : 874 + 87 -> 961
Job 4 Operation 8 on Machine 4 : 874 + 148 -> 1022
Job 7 Operation 7 on Machine 2 : 928 + 67 -> 995
Job 1 Operation 5 on Machine 9 : 928 + 181 -> 1109
Job 8 Operation 7 on Machine 1 : 957 + 50 -> 1007
Job 9 Operation 6 on Machine 8 : 961 + 78 -> 1039
Job 5 Operation 5 on Machine 5 : 983 + 8 -> 991
Job 3 Operation 7 on Machine 6 : 983 + 87 -> 1070
Job 7 Operation 8 on Machine 3 : 995 + 103 -> 1098
Job 2 Operation 6 on Machine 1 : 1007 + 183 -> 1190
Job 8 Operation 8 on Machine 2 : 1007 + 9 -> 1016
Job 6 Operation 6 on Machine 5 : 1011 + 94 -> 1105
Job 5 Operation 6 on Machine 4 : 1022 + 163 -> 1185
Job 9 Operation 7 on Machine 0 : 1039 + 30 -> 1069
Job 9 Operation 8 on Machine 2 : 1069 + 142 -> 1211
Job 0 Operation 7 on Machine 6 : 1070 + 116 -> 1186
Job 4 Operation 9 on Machine 3 : 1098 + 143 -> 1241
Job 1 Operation 6 on Machine 5 : 1109 + 70 -> 1179
Job 6 Operation 7 on Machine 9 : 1109 + 57 -> 1166
Job 8 Operation 9 on Machine 9 : 1166 + 182 -> 1348
Job 7 Operation 9 on Machine 5 : 1179 + 134 -> 1313
Job 1 Operation 7 on Machine 4 : 1185 + 68 -> 1253
Job 2 Operation 7 on Machine 8 : 1190 + 1 -> 1191
Job 2 Operation 8 on Machine 7 : 1191 + 71 -> 1262
Job 3 Operation 8 on Machine 8 : 1191 + 157 -> 1348
Job 6 Operation 8 on Machine 2 : 1211 + 149 -> 1360
Job 2 Operation 9 on Machine 0 : 1262 + 143 -> 1405
Job 1 Operation 8 on Machine 7 : 1262 + 47 -> 1309
Job 1 Operation 9 on Machine 3 : 1309 + 172 -> 1481
Job 9 Operation 9 on Machine 7 : 1309 + 98 -> 1407
Job 5 Operation 7 on Machine 9 : 1348 + 24 -> 1372
Job 0 Operation 8 on Machine 2 : 1360 + 21 -> 1381
Job 6 Operation 9 on Machine 4 : 1360 + 125 -> 1485
Job 5 Operation 8 on Machine 1 : 1372 + 30 -> 1402
Job 3 Operation 9 on Machine 9 : 1372 + 144 -> 1516
Job 5 Operation 9 on Machine 2 : 1402 + 112 -> 1514
Job 0 Operation 9 on Machine 7 : 1407 + 54 -> 1461
Makespan: 1516.0, as it is the maximum end completion time of Operation 9
| null |
|
9 | 7 |
Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 93 mins.
Operation 1 on Machine 4 duration 276 mins.
Operation 2 on Machine 0 duration 320 mins.
Operation 3 on Machine 2 duration 377 mins.
Operation 4 on Machine 3 duration 351 mins.
Operation 5 on Machine 1 duration 410 mins.
Operation 6 on Machine 6 duration 71 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 309 mins.
Operation 1 on Machine 0 duration 76 mins.
Operation 2 on Machine 2 duration 407 mins.
Operation 3 on Machine 3 duration 192 mins.
Operation 4 on Machine 1 duration 199 mins.
Operation 5 on Machine 4 duration 359 mins.
Operation 6 on Machine 5 duration 233 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 375 mins.
Operation 1 on Machine 3 duration 188 mins.
Operation 2 on Machine 5 duration 363 mins.
Operation 3 on Machine 4 duration 269 mins.
Operation 4 on Machine 2 duration 319 mins.
Operation 5 on Machine 0 duration 151 mins.
Operation 6 on Machine 1 duration 264 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 43 mins.
Operation 1 on Machine 0 duration 89 mins.
Operation 2 on Machine 5 duration 272 mins.
Operation 3 on Machine 2 duration 22 mins.
Operation 4 on Machine 3 duration 211 mins.
Operation 5 on Machine 4 duration 82 mins.
Operation 6 on Machine 6 duration 17 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 343 mins.
Operation 1 on Machine 6 duration 17 mins.
Operation 2 on Machine 3 duration 203 mins.
Operation 3 on Machine 5 duration 396 mins.
Operation 4 on Machine 1 duration 413 mins.
Operation 5 on Machine 0 duration 305 mins.
Operation 6 on Machine 2 duration 383 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 122 mins.
Operation 1 on Machine 3 duration 385 mins.
Operation 2 on Machine 2 duration 336 mins.
Operation 3 on Machine 5 duration 121 mins.
Operation 4 on Machine 0 duration 347 mins.
Operation 5 on Machine 6 duration 104 mins.
Operation 6 on Machine 1 duration 154 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 295 mins.
Operation 1 on Machine 1 duration 162 mins.
Operation 2 on Machine 3 duration 158 mins.
Operation 3 on Machine 0 duration 392 mins.
Operation 4 on Machine 4 duration 258 mins.
Operation 5 on Machine 6 duration 207 mins.
Operation 6 on Machine 5 duration 403 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 149 mins.
Operation 1 on Machine 6 duration 91 mins.
Operation 2 on Machine 1 duration 290 mins.
Operation 3 on Machine 2 duration 269 mins.
Operation 4 on Machine 3 duration 240 mins.
Operation 5 on Machine 4 duration 123 mins.
Operation 6 on Machine 0 duration 102 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 74 mins.
Operation 1 on Machine 6 duration 29 mins.
Operation 2 on Machine 5 duration 338 mins.
Operation 3 on Machine 0 duration 337 mins.
Operation 4 on Machine 4 duration 155 mins.
Operation 5 on Machine 2 duration 176 mins.
Operation 6 on Machine 1 duration 96 mins.
| null |
Optimize schedule for 9 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 76 mins.
Job 3 Operation 1 duration 89 mins.
Job 0 Operation 2 duration 320 mins.
Job 6 Operation 3 duration 392 mins.
Job 8 Operation 3 duration 337 mins.
Job 5 Operation 4 duration 347 mins.
Job 2 Operation 5 duration 151 mins.
Job 4 Operation 5 duration 305 mins.
Job 7 Operation 6 duration 102 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 43 mins.
Job 6 Operation 1 duration 162 mins.
Job 7 Operation 2 duration 290 mins.
Job 1 Operation 4 duration 199 mins.
Job 4 Operation 4 duration 413 mins.
Job 0 Operation 5 duration 410 mins.
Job 2 Operation 6 duration 264 mins.
Job 5 Operation 6 duration 154 mins.
Job 8 Operation 6 duration 96 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 0 duration 295 mins.
Job 1 Operation 2 duration 407 mins.
Job 5 Operation 2 duration 336 mins.
Job 0 Operation 3 duration 377 mins.
Job 3 Operation 3 duration 22 mins.
Job 7 Operation 3 duration 269 mins.
Job 2 Operation 4 duration 319 mins.
Job 8 Operation 5 duration 176 mins.
Job 4 Operation 6 duration 383 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 0 duration 74 mins.
Job 2 Operation 1 duration 188 mins.
Job 5 Operation 1 duration 385 mins.
Job 4 Operation 2 duration 203 mins.
Job 6 Operation 2 duration 158 mins.
Job 1 Operation 3 duration 192 mins.
Job 0 Operation 4 duration 351 mins.
Job 3 Operation 4 duration 211 mins.
Job 7 Operation 4 duration 240 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 343 mins.
Job 5 Operation 0 duration 122 mins.
Job 0 Operation 1 duration 276 mins.
Job 2 Operation 3 duration 269 mins.
Job 6 Operation 4 duration 258 mins.
Job 8 Operation 4 duration 155 mins.
Job 1 Operation 5 duration 359 mins.
Job 3 Operation 5 duration 82 mins.
Job 7 Operation 5 duration 123 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 93 mins.
Job 7 Operation 0 duration 149 mins.
Job 2 Operation 2 duration 363 mins.
Job 3 Operation 2 duration 272 mins.
Job 8 Operation 2 duration 338 mins.
Job 4 Operation 3 duration 396 mins.
Job 5 Operation 3 duration 121 mins.
Job 1 Operation 6 duration 233 mins.
Job 6 Operation 6 duration 403 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 309 mins.
Job 2 Operation 0 duration 375 mins.
Job 4 Operation 1 duration 17 mins.
Job 7 Operation 1 duration 91 mins.
Job 8 Operation 1 duration 29 mins.
Job 5 Operation 5 duration 104 mins.
Job 6 Operation 5 duration 207 mins.
Job 0 Operation 6 duration 71 mins.
Job 3 Operation 6 duration 17 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 1 : 0 + 43 -> 43
Job 6 Operation 0 on Machine 2 : 0 + 295 -> 295
Job 8 Operation 0 on Machine 3 : 0 + 74 -> 74
Job 5 Operation 0 on Machine 4 : 0 + 122 -> 122
Job 0 Operation 0 on Machine 5 : 0 + 93 -> 93
Job 3 Operation 1 on Machine 0 : 43 + 89 -> 132
Job 8 Operation 1 on Machine 6 : 74 + 29 -> 103
Job 8 Operation 2 on Machine 5 : 103 + 338 -> 441
Job 1 Operation 0 on Machine 6 : 103 + 309 -> 412
Job 5 Operation 1 on Machine 3 : 122 + 385 -> 507
Job 4 Operation 0 on Machine 4 : 122 + 343 -> 465
Job 6 Operation 1 on Machine 1 : 295 + 162 -> 457
Job 1 Operation 1 on Machine 0 : 412 + 76 -> 488
Job 7 Operation 0 on Machine 5 : 441 + 149 -> 590
Job 0 Operation 1 on Machine 4 : 465 + 276 -> 741
Job 4 Operation 1 on Machine 6 : 465 + 17 -> 482
Job 8 Operation 3 on Machine 0 : 488 + 337 -> 825
Job 1 Operation 2 on Machine 2 : 488 + 407 -> 895
Job 6 Operation 2 on Machine 3 : 507 + 158 -> 665
Job 7 Operation 1 on Machine 6 : 590 + 91 -> 681
Job 4 Operation 2 on Machine 3 : 665 + 203 -> 868
Job 7 Operation 2 on Machine 1 : 681 + 290 -> 971
Job 2 Operation 0 on Machine 6 : 681 + 375 -> 1056
Job 0 Operation 2 on Machine 0 : 825 + 320 -> 1145
Job 8 Operation 4 on Machine 4 : 825 + 155 -> 980
Job 4 Operation 3 on Machine 5 : 868 + 396 -> 1264
Job 5 Operation 2 on Machine 2 : 895 + 336 -> 1231
Job 1 Operation 3 on Machine 3 : 895 + 192 -> 1087
Job 1 Operation 4 on Machine 1 : 1087 + 199 -> 1286
Job 2 Operation 1 on Machine 3 : 1087 + 188 -> 1275
Job 6 Operation 3 on Machine 0 : 1145 + 392 -> 1537
Job 0 Operation 3 on Machine 2 : 1231 + 377 -> 1608
Job 5 Operation 3 on Machine 5 : 1264 + 121 -> 1385
Job 4 Operation 4 on Machine 1 : 1286 + 413 -> 1699
Job 2 Operation 2 on Machine 5 : 1385 + 363 -> 1748
Job 5 Operation 4 on Machine 0 : 1537 + 347 -> 1884
Job 6 Operation 4 on Machine 4 : 1537 + 258 -> 1795
Job 8 Operation 5 on Machine 2 : 1608 + 176 -> 1784
Job 0 Operation 4 on Machine 3 : 1608 + 351 -> 1959
Job 3 Operation 2 on Machine 5 : 1748 + 272 -> 2020
Job 8 Operation 6 on Machine 1 : 1784 + 96 -> 1880
Job 7 Operation 3 on Machine 2 : 1784 + 269 -> 2053
Job 2 Operation 3 on Machine 4 : 1795 + 269 -> 2064
Job 6 Operation 5 on Machine 6 : 1795 + 207 -> 2002
Job 4 Operation 5 on Machine 0 : 1884 + 305 -> 2189
Job 0 Operation 5 on Machine 1 : 1959 + 410 -> 2369
Job 5 Operation 5 on Machine 6 : 2002 + 104 -> 2106
Job 6 Operation 6 on Machine 5 : 2020 + 403 -> 2423
Job 7 Operation 4 on Machine 3 : 2053 + 240 -> 2293
Job 2 Operation 4 on Machine 2 : 2064 + 319 -> 2383
Job 1 Operation 5 on Machine 4 : 2064 + 359 -> 2423
Job 5 Operation 6 on Machine 1 : 2369 + 154 -> 2523
Job 0 Operation 6 on Machine 6 : 2369 + 71 -> 2440
Job 2 Operation 5 on Machine 0 : 2383 + 151 -> 2534
Job 3 Operation 3 on Machine 2 : 2383 + 22 -> 2405
Job 4 Operation 6 on Machine 2 : 2405 + 383 -> 2788
Job 3 Operation 4 on Machine 3 : 2405 + 211 -> 2616
Job 7 Operation 5 on Machine 4 : 2423 + 123 -> 2546
Job 1 Operation 6 on Machine 5 : 2423 + 233 -> 2656
Job 2 Operation 6 on Machine 1 : 2534 + 264 -> 2798
Job 7 Operation 6 on Machine 0 : 2546 + 102 -> 2648
Job 3 Operation 5 on Machine 4 : 2616 + 82 -> 2698
Job 3 Operation 6 on Machine 6 : 2698 + 17 -> 2715
Makespan: 2798.0, as it is the maximum end completion time of Operation 6
| null |
|
7 | 4 |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 30 mins.
Operation 1 on Machine 2 duration 51 mins.
Operation 2 on Machine 1 duration 72 mins.
Operation 3 on Machine 3 duration 78 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 64 mins.
Operation 1 on Machine 0 duration 53 mins.
Operation 2 on Machine 2 duration 21 mins.
Operation 3 on Machine 3 duration 86 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 42 mins.
Operation 1 on Machine 0 duration 53 mins.
Operation 2 on Machine 3 duration 91 mins.
Operation 3 on Machine 2 duration 66 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 103 mins.
Operation 1 on Machine 2 duration 47 mins.
Operation 2 on Machine 0 duration 6 mins.
Operation 3 on Machine 1 duration 75 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 14 mins.
Operation 1 on Machine 2 duration 74 mins.
Operation 2 on Machine 3 duration 29 mins.
Operation 3 on Machine 1 duration 72 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 102 mins.
Operation 1 on Machine 1 duration 30 mins.
Operation 2 on Machine 3 duration 17 mins.
Operation 3 on Machine 2 duration 97 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 21 mins.
Operation 1 on Machine 0 duration 83 mins.
Operation 2 on Machine 1 duration 75 mins.
Operation 3 on Machine 3 duration 47 mins.
| null |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 30 mins.
Job 4 Operation 0 duration 14 mins.
Job 5 Operation 0 duration 102 mins.
Job 1 Operation 1 duration 53 mins.
Job 2 Operation 1 duration 53 mins.
Job 6 Operation 1 duration 83 mins.
Job 3 Operation 2 duration 6 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 64 mins.
Job 2 Operation 0 duration 42 mins.
Job 5 Operation 1 duration 30 mins.
Job 0 Operation 2 duration 72 mins.
Job 6 Operation 2 duration 75 mins.
Job 3 Operation 3 duration 75 mins.
Job 4 Operation 3 duration 72 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 0 duration 21 mins.
Job 0 Operation 1 duration 51 mins.
Job 3 Operation 1 duration 47 mins.
Job 4 Operation 1 duration 74 mins.
Job 1 Operation 2 duration 21 mins.
Job 2 Operation 3 duration 66 mins.
Job 5 Operation 3 duration 97 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 103 mins.
Job 2 Operation 2 duration 91 mins.
Job 4 Operation 2 duration 29 mins.
Job 5 Operation 2 duration 17 mins.
Job 0 Operation 3 duration 78 mins.
Job 1 Operation 3 duration 86 mins.
Job 6 Operation 3 duration 47 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 14 -> 14
Job 2 Operation 0 on Machine 1 : 0 + 42 -> 42
Job 6 Operation 0 on Machine 2 : 0 + 21 -> 21
Job 3 Operation 0 on Machine 3 : 0 + 103 -> 103
Job 0 Operation 0 on Machine 0 : 14 + 30 -> 44
Job 1 Operation 0 on Machine 1 : 42 + 64 -> 106
Job 2 Operation 1 on Machine 0 : 44 + 53 -> 97
Job 0 Operation 1 on Machine 2 : 44 + 51 -> 95
Job 4 Operation 1 on Machine 2 : 95 + 74 -> 169
Job 6 Operation 1 on Machine 0 : 97 + 83 -> 180
Job 2 Operation 2 on Machine 3 : 103 + 91 -> 194
Job 0 Operation 2 on Machine 1 : 106 + 72 -> 178
Job 3 Operation 1 on Machine 2 : 169 + 47 -> 216
Job 5 Operation 0 on Machine 0 : 180 + 102 -> 282
Job 6 Operation 2 on Machine 1 : 180 + 75 -> 255
Job 0 Operation 3 on Machine 3 : 194 + 78 -> 272
Job 2 Operation 3 on Machine 2 : 216 + 66 -> 282
Job 6 Operation 3 on Machine 3 : 272 + 47 -> 319
Job 3 Operation 2 on Machine 0 : 282 + 6 -> 288
Job 5 Operation 1 on Machine 1 : 282 + 30 -> 312
Job 1 Operation 1 on Machine 0 : 288 + 53 -> 341
Job 3 Operation 3 on Machine 1 : 312 + 75 -> 387
Job 5 Operation 2 on Machine 3 : 319 + 17 -> 336
Job 4 Operation 2 on Machine 3 : 336 + 29 -> 365
Job 1 Operation 2 on Machine 2 : 341 + 21 -> 362
Job 5 Operation 3 on Machine 2 : 362 + 97 -> 459
Job 1 Operation 3 on Machine 3 : 365 + 86 -> 451
Job 4 Operation 3 on Machine 1 : 387 + 72 -> 459
Makespan: 459.0, as it is the maximum end completion time of Operation 3
| null |
|
10 | 3 |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 8 mins.
Operation 1 on Machine 1 duration 9 mins.
Operation 2 on Machine 0 duration 21 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 13 mins.
Operation 1 on Machine 1 duration 22 mins.
Operation 2 on Machine 2 duration 19 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 11 mins.
Operation 1 on Machine 1 duration 26 mins.
Operation 2 on Machine 0 duration 16 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 9 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 2 duration 16 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 6 mins.
Operation 1 on Machine 0 duration 37 mins.
Operation 2 on Machine 1 duration 26 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 2 mins.
Operation 1 on Machine 1 duration 25 mins.
Operation 2 on Machine 0 duration 10 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 5 mins.
Operation 1 on Machine 0 duration 14 mins.
Operation 2 on Machine 1 duration 38 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 11 mins.
Operation 1 on Machine 0 duration 13 mins.
Operation 2 on Machine 1 duration 23 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 37 mins.
Operation 1 on Machine 1 duration 14 mins.
Operation 2 on Machine 0 duration 30 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 1 mins.
Operation 1 on Machine 1 duration 23 mins.
Operation 2 on Machine 2 duration 32 mins.
| null |
Optimize schedule for 10 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 13 mins.
Job 9 Operation 0 duration 1 mins.
Job 3 Operation 1 duration 8 mins.
Job 4 Operation 1 duration 37 mins.
Job 6 Operation 1 duration 14 mins.
Job 7 Operation 1 duration 13 mins.
Job 0 Operation 2 duration 21 mins.
Job 2 Operation 2 duration 16 mins.
Job 5 Operation 2 duration 10 mins.
Job 8 Operation 2 duration 30 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 9 mins.
Job 0 Operation 1 duration 9 mins.
Job 1 Operation 1 duration 22 mins.
Job 2 Operation 1 duration 26 mins.
Job 5 Operation 1 duration 25 mins.
Job 8 Operation 1 duration 14 mins.
Job 9 Operation 1 duration 23 mins.
Job 4 Operation 2 duration 26 mins.
Job 6 Operation 2 duration 38 mins.
Job 7 Operation 2 duration 23 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 8 mins.
Job 2 Operation 0 duration 11 mins.
Job 4 Operation 0 duration 6 mins.
Job 5 Operation 0 duration 2 mins.
Job 6 Operation 0 duration 5 mins.
Job 7 Operation 0 duration 11 mins.
Job 8 Operation 0 duration 37 mins.
Job 1 Operation 2 duration 19 mins.
Job 3 Operation 2 duration 16 mins.
Job 9 Operation 2 duration 32 mins.
| null |
Solution:
Job 9 Operation 0 on Machine 0 : 0 + 1 -> 1
Job 3 Operation 0 on Machine 1 : 0 + 9 -> 9
Job 5 Operation 0 on Machine 2 : 0 + 2 -> 2
Job 1 Operation 0 on Machine 0 : 1 + 13 -> 14
Job 6 Operation 0 on Machine 2 : 2 + 5 -> 7
Job 4 Operation 0 on Machine 2 : 7 + 6 -> 13
Job 9 Operation 1 on Machine 1 : 9 + 23 -> 32
Job 0 Operation 0 on Machine 2 : 13 + 8 -> 21
Job 3 Operation 1 on Machine 0 : 14 + 8 -> 22
Job 2 Operation 0 on Machine 2 : 21 + 11 -> 32
Job 6 Operation 1 on Machine 0 : 22 + 14 -> 36
Job 0 Operation 1 on Machine 1 : 32 + 9 -> 41
Job 7 Operation 0 on Machine 2 : 32 + 11 -> 43
Job 4 Operation 1 on Machine 0 : 36 + 37 -> 73
Job 1 Operation 1 on Machine 1 : 41 + 22 -> 63
Job 3 Operation 2 on Machine 2 : 43 + 16 -> 59
Job 9 Operation 2 on Machine 2 : 59 + 32 -> 91
Job 5 Operation 1 on Machine 1 : 63 + 25 -> 88
Job 7 Operation 1 on Machine 0 : 73 + 13 -> 86
Job 0 Operation 2 on Machine 0 : 86 + 21 -> 107
Job 7 Operation 2 on Machine 1 : 88 + 23 -> 111
Job 1 Operation 2 on Machine 2 : 91 + 19 -> 110
Job 5 Operation 2 on Machine 0 : 107 + 10 -> 117
Job 8 Operation 0 on Machine 2 : 110 + 37 -> 147
Job 2 Operation 1 on Machine 1 : 111 + 26 -> 137
Job 2 Operation 2 on Machine 0 : 137 + 16 -> 153
Job 4 Operation 2 on Machine 1 : 137 + 26 -> 163
Job 8 Operation 1 on Machine 1 : 163 + 14 -> 177
Job 8 Operation 2 on Machine 0 : 177 + 30 -> 207
Job 6 Operation 2 on Machine 1 : 177 + 38 -> 215
Makespan: 215.0, as it is the maximum end completion time of Operation 2
| null |
|
7 | 3 |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 12 mins.
Operation 1 on Machine 0 duration 18 mins.
Operation 2 on Machine 1 duration 19 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 14 mins.
Operation 1 on Machine 1 duration 23 mins.
Operation 2 on Machine 2 duration 28 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 23 mins.
Operation 1 on Machine 1 duration 34 mins.
Operation 2 on Machine 2 duration 10 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 25 mins.
Operation 1 on Machine 1 duration 31 mins.
Operation 2 on Machine 0 duration 19 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 29 mins.
Operation 1 on Machine 0 duration 12 mins.
Operation 2 on Machine 1 duration 3 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 15 mins.
Operation 1 on Machine 2 duration 6 mins.
Operation 2 on Machine 1 duration 9 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 2 mins.
Operation 1 on Machine 1 duration 20 mins.
Operation 2 on Machine 2 duration 3 mins.
| null |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 14 mins.
Job 2 Operation 0 duration 23 mins.
Job 5 Operation 0 duration 15 mins.
Job 6 Operation 0 duration 2 mins.
Job 0 Operation 1 duration 18 mins.
Job 4 Operation 1 duration 12 mins.
Job 3 Operation 2 duration 19 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 23 mins.
Job 2 Operation 1 duration 34 mins.
Job 3 Operation 1 duration 31 mins.
Job 6 Operation 1 duration 20 mins.
Job 0 Operation 2 duration 19 mins.
Job 4 Operation 2 duration 3 mins.
Job 5 Operation 2 duration 9 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 12 mins.
Job 3 Operation 0 duration 25 mins.
Job 4 Operation 0 duration 29 mins.
Job 5 Operation 1 duration 6 mins.
Job 1 Operation 2 duration 28 mins.
Job 2 Operation 2 duration 10 mins.
Job 6 Operation 2 duration 3 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 2 -> 2
Job 0 Operation 0 on Machine 2 : 0 + 12 -> 12
Job 1 Operation 0 on Machine 0 : 2 + 14 -> 16
Job 6 Operation 1 on Machine 1 : 2 + 20 -> 22
Job 3 Operation 0 on Machine 2 : 12 + 25 -> 37
Job 5 Operation 0 on Machine 0 : 16 + 15 -> 31
Job 1 Operation 1 on Machine 1 : 22 + 23 -> 45
Job 2 Operation 0 on Machine 0 : 31 + 23 -> 54
Job 5 Operation 1 on Machine 2 : 37 + 6 -> 43
Job 3 Operation 1 on Machine 1 : 45 + 31 -> 76
Job 1 Operation 2 on Machine 2 : 45 + 28 -> 73
Job 0 Operation 1 on Machine 0 : 54 + 18 -> 72
Job 4 Operation 0 on Machine 2 : 73 + 29 -> 102
Job 3 Operation 2 on Machine 0 : 76 + 19 -> 95
Job 2 Operation 1 on Machine 1 : 76 + 34 -> 110
Job 4 Operation 1 on Machine 0 : 102 + 12 -> 114
Job 6 Operation 2 on Machine 2 : 102 + 3 -> 105
Job 5 Operation 2 on Machine 1 : 110 + 9 -> 119
Job 2 Operation 2 on Machine 2 : 110 + 10 -> 120
Job 4 Operation 2 on Machine 1 : 119 + 3 -> 122
Job 0 Operation 2 on Machine 1 : 122 + 19 -> 141
Makespan: 141.0, as it is the maximum end completion time of Operation 2
| null |
|
5 | 2 |
Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 57 mins.
Operation 1 on Machine 0 duration 18 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 47 mins.
Operation 1 on Machine 1 duration 65 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 40 mins.
Operation 1 on Machine 0 duration 16 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 105 mins.
Operation 1 on Machine 1 duration 17 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 50 mins.
Operation 1 on Machine 1 duration 98 mins.
| null |
Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 47 mins.
Job 3 Operation 0 duration 105 mins.
Job 4 Operation 0 duration 50 mins.
Job 0 Operation 1 duration 18 mins.
Job 2 Operation 1 duration 16 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 57 mins.
Job 2 Operation 0 duration 40 mins.
Job 1 Operation 1 duration 65 mins.
Job 3 Operation 1 duration 17 mins.
Job 4 Operation 1 duration 98 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 47 -> 47
Job 2 Operation 0 on Machine 1 : 0 + 40 -> 40
Job 0 Operation 0 on Machine 1 : 40 + 57 -> 97
Job 2 Operation 1 on Machine 0 : 47 + 16 -> 63
Job 4 Operation 0 on Machine 0 : 63 + 50 -> 113
Job 1 Operation 1 on Machine 1 : 97 + 65 -> 162
Job 0 Operation 1 on Machine 0 : 113 + 18 -> 131
Job 3 Operation 0 on Machine 0 : 131 + 105 -> 236
Job 4 Operation 1 on Machine 1 : 162 + 98 -> 260
Job 3 Operation 1 on Machine 1 : 260 + 17 -> 277
Makespan: 277.0, as it is the maximum end completion time of Operation 1
| null |
|
7 | 4 |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 7 mins.
Operation 1 on Machine 1 duration 73 mins.
Operation 2 on Machine 3 duration 53 mins.
Operation 3 on Machine 0 duration 2 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 6 mins.
Operation 1 on Machine 3 duration 157 mins.
Operation 2 on Machine 2 duration 189 mins.
Operation 3 on Machine 0 duration 140 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 24 mins.
Operation 1 on Machine 1 duration 196 mins.
Operation 2 on Machine 3 duration 49 mins.
Operation 3 on Machine 2 duration 38 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 47 mins.
Operation 1 on Machine 1 duration 40 mins.
Operation 2 on Machine 3 duration 123 mins.
Operation 3 on Machine 2 duration 154 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 178 mins.
Operation 1 on Machine 3 duration 36 mins.
Operation 2 on Machine 0 duration 195 mins.
Operation 3 on Machine 1 duration 167 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 58 mins.
Operation 1 on Machine 3 duration 92 mins.
Operation 2 on Machine 0 duration 42 mins.
Operation 3 on Machine 1 duration 115 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 156 mins.
Operation 1 on Machine 2 duration 4 mins.
Operation 2 on Machine 3 duration 125 mins.
Operation 3 on Machine 0 duration 195 mins.
| null |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 24 mins.
Job 3 Operation 0 duration 47 mins.
Job 4 Operation 2 duration 195 mins.
Job 5 Operation 2 duration 42 mins.
Job 0 Operation 3 duration 2 mins.
Job 1 Operation 3 duration 140 mins.
Job 6 Operation 3 duration 195 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 6 mins.
Job 6 Operation 0 duration 156 mins.
Job 0 Operation 1 duration 73 mins.
Job 2 Operation 1 duration 196 mins.
Job 3 Operation 1 duration 40 mins.
Job 4 Operation 3 duration 167 mins.
Job 5 Operation 3 duration 115 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 7 mins.
Job 4 Operation 0 duration 178 mins.
Job 5 Operation 0 duration 58 mins.
Job 6 Operation 1 duration 4 mins.
Job 1 Operation 2 duration 189 mins.
Job 2 Operation 3 duration 38 mins.
Job 3 Operation 3 duration 154 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 157 mins.
Job 4 Operation 1 duration 36 mins.
Job 5 Operation 1 duration 92 mins.
Job 0 Operation 2 duration 53 mins.
Job 2 Operation 2 duration 49 mins.
Job 3 Operation 2 duration 123 mins.
Job 6 Operation 2 duration 125 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 24 -> 24
Job 1 Operation 0 on Machine 1 : 0 + 6 -> 6
Job 4 Operation 0 on Machine 2 : 0 + 178 -> 178
Job 1 Operation 1 on Machine 3 : 6 + 157 -> 163
Job 3 Operation 0 on Machine 0 : 24 + 47 -> 71
Job 2 Operation 1 on Machine 1 : 24 + 196 -> 220
Job 5 Operation 0 on Machine 2 : 178 + 58 -> 236
Job 4 Operation 1 on Machine 3 : 178 + 36 -> 214
Job 4 Operation 2 on Machine 0 : 214 + 195 -> 409
Job 3 Operation 1 on Machine 1 : 220 + 40 -> 260
Job 1 Operation 2 on Machine 2 : 236 + 189 -> 425
Job 5 Operation 1 on Machine 3 : 236 + 92 -> 328
Job 6 Operation 0 on Machine 1 : 260 + 156 -> 416
Job 3 Operation 2 on Machine 3 : 328 + 123 -> 451
Job 5 Operation 2 on Machine 0 : 409 + 42 -> 451
Job 4 Operation 3 on Machine 1 : 416 + 167 -> 583
Job 6 Operation 1 on Machine 2 : 425 + 4 -> 429
Job 0 Operation 0 on Machine 2 : 429 + 7 -> 436
Job 1 Operation 3 on Machine 0 : 451 + 140 -> 591
Job 3 Operation 3 on Machine 2 : 451 + 154 -> 605
Job 6 Operation 2 on Machine 3 : 451 + 125 -> 576
Job 2 Operation 2 on Machine 3 : 576 + 49 -> 625
Job 0 Operation 1 on Machine 1 : 583 + 73 -> 656
Job 6 Operation 3 on Machine 0 : 591 + 195 -> 786
Job 2 Operation 3 on Machine 2 : 625 + 38 -> 663
Job 5 Operation 3 on Machine 1 : 656 + 115 -> 771
Job 0 Operation 2 on Machine 3 : 656 + 53 -> 709
Job 0 Operation 3 on Machine 0 : 786 + 2 -> 788
Makespan: 788.0, as it is the maximum end completion time of Operation 3
| null |
|
7 | 3 |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 74 mins.
Operation 1 on Machine 2 duration 3 mins.
Operation 2 on Machine 1 duration 113 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 35 mins.
Operation 1 on Machine 2 duration 94 mins.
Operation 2 on Machine 1 duration 147 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 11 mins.
Operation 1 on Machine 2 duration 131 mins.
Operation 2 on Machine 0 duration 69 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 126 mins.
Operation 1 on Machine 2 duration 43 mins.
Operation 2 on Machine 0 duration 134 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 58 mins.
Operation 1 on Machine 2 duration 136 mins.
Operation 2 on Machine 0 duration 115 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 153 mins.
Operation 1 on Machine 0 duration 64 mins.
Operation 2 on Machine 1 duration 12 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 114 mins.
Operation 1 on Machine 1 duration 154 mins.
Operation 2 on Machine 0 duration 100 mins.
| null |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 74 mins.
Job 1 Operation 0 duration 35 mins.
Job 5 Operation 1 duration 64 mins.
Job 2 Operation 2 duration 69 mins.
Job 3 Operation 2 duration 134 mins.
Job 4 Operation 2 duration 115 mins.
Job 6 Operation 2 duration 100 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 11 mins.
Job 3 Operation 0 duration 126 mins.
Job 4 Operation 0 duration 58 mins.
Job 6 Operation 1 duration 154 mins.
Job 0 Operation 2 duration 113 mins.
Job 1 Operation 2 duration 147 mins.
Job 5 Operation 2 duration 12 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 153 mins.
Job 6 Operation 0 duration 114 mins.
Job 0 Operation 1 duration 3 mins.
Job 1 Operation 1 duration 94 mins.
Job 2 Operation 1 duration 131 mins.
Job 3 Operation 1 duration 43 mins.
Job 4 Operation 1 duration 136 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 35 -> 35
Job 2 Operation 0 on Machine 1 : 0 + 11 -> 11
Job 5 Operation 0 on Machine 2 : 0 + 153 -> 153
Job 4 Operation 0 on Machine 1 : 11 + 58 -> 69
Job 0 Operation 0 on Machine 0 : 35 + 74 -> 109
Job 3 Operation 0 on Machine 1 : 69 + 126 -> 195
Job 5 Operation 1 on Machine 0 : 153 + 64 -> 217
Job 6 Operation 0 on Machine 2 : 153 + 114 -> 267
Job 5 Operation 2 on Machine 1 : 217 + 12 -> 229
Job 6 Operation 1 on Machine 1 : 267 + 154 -> 421
Job 0 Operation 1 on Machine 2 : 267 + 3 -> 270
Job 3 Operation 1 on Machine 2 : 270 + 43 -> 313
Job 3 Operation 2 on Machine 0 : 313 + 134 -> 447
Job 4 Operation 1 on Machine 2 : 313 + 136 -> 449
Job 0 Operation 2 on Machine 1 : 421 + 113 -> 534
Job 4 Operation 2 on Machine 0 : 449 + 115 -> 564
Job 1 Operation 1 on Machine 2 : 449 + 94 -> 543
Job 1 Operation 2 on Machine 1 : 543 + 147 -> 690
Job 2 Operation 1 on Machine 2 : 543 + 131 -> 674
Job 6 Operation 2 on Machine 0 : 564 + 100 -> 664
Job 2 Operation 2 on Machine 0 : 674 + 69 -> 743
Makespan: 743.0, 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 1 duration 223 mins.
Operation 1 on Machine 0 duration 219 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 106 mins.
Operation 1 on Machine 0 duration 103 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 25 mins.
Operation 1 on Machine 1 duration 161 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 39 mins.
Operation 1 on Machine 0 duration 264 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 2 Operation 0 duration 25 mins.
Job 0 Operation 1 duration 219 mins.
Job 1 Operation 1 duration 103 mins.
Job 3 Operation 1 duration 264 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 223 mins.
Job 1 Operation 0 duration 106 mins.
Job 3 Operation 0 duration 39 mins.
Job 2 Operation 1 duration 161 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 25 -> 25
Job 3 Operation 0 on Machine 1 : 0 + 39 -> 39
Job 3 Operation 1 on Machine 0 : 39 + 264 -> 303
Job 0 Operation 0 on Machine 1 : 39 + 223 -> 262
Job 1 Operation 0 on Machine 1 : 262 + 106 -> 368
Job 0 Operation 1 on Machine 0 : 303 + 219 -> 522
Job 2 Operation 1 on Machine 1 : 368 + 161 -> 529
Job 1 Operation 1 on Machine 0 : 522 + 103 -> 625
Makespan: 625.0, as it is the maximum end completion time of Operation 1
| null |
|
9 | 9 |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 115 mins.
Operation 1 on Machine 8 duration 139 mins.
Operation 2 on Machine 5 duration 167 mins.
Operation 3 on Machine 6 duration 6 mins.
Operation 4 on Machine 4 duration 145 mins.
Operation 5 on Machine 0 duration 73 mins.
Operation 6 on Machine 7 duration 40 mins.
Operation 7 on Machine 3 duration 13 mins.
Operation 8 on Machine 1 duration 210 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 83 mins.
Operation 1 on Machine 0 duration 37 mins.
Operation 2 on Machine 1 duration 153 mins.
Operation 3 on Machine 5 duration 129 mins.
Operation 4 on Machine 8 duration 12 mins.
Operation 5 on Machine 4 duration 14 mins.
Operation 6 on Machine 7 duration 11 mins.
Operation 7 on Machine 3 duration 166 mins.
Operation 8 on Machine 6 duration 56 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 60 mins.
Operation 1 on Machine 8 duration 214 mins.
Operation 2 on Machine 4 duration 170 mins.
Operation 3 on Machine 7 duration 112 mins.
Operation 4 on Machine 0 duration 79 mins.
Operation 5 on Machine 2 duration 46 mins.
Operation 6 on Machine 6 duration 208 mins.
Operation 7 on Machine 1 duration 150 mins.
Operation 8 on Machine 3 duration 159 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 103 mins.
Operation 1 on Machine 2 duration 28 mins.
Operation 2 on Machine 8 duration 98 mins.
Operation 3 on Machine 3 duration 29 mins.
Operation 4 on Machine 1 duration 130 mins.
Operation 5 on Machine 4 duration 186 mins.
Operation 6 on Machine 6 duration 109 mins.
Operation 7 on Machine 7 duration 134 mins.
Operation 8 on Machine 0 duration 50 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 150 mins.
Operation 1 on Machine 8 duration 48 mins.
Operation 2 on Machine 3 duration 221 mins.
Operation 3 on Machine 4 duration 217 mins.
Operation 4 on Machine 7 duration 209 mins.
Operation 5 on Machine 6 duration 114 mins.
Operation 6 on Machine 0 duration 223 mins.
Operation 7 on Machine 2 duration 221 mins.
Operation 8 on Machine 1 duration 161 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 7 duration 172 mins.
Operation 1 on Machine 1 duration 214 mins.
Operation 2 on Machine 6 duration 195 mins.
Operation 3 on Machine 2 duration 149 mins.
Operation 4 on Machine 8 duration 158 mins.
Operation 5 on Machine 5 duration 88 mins.
Operation 6 on Machine 3 duration 50 mins.
Operation 7 on Machine 0 duration 145 mins.
Operation 8 on Machine 4 duration 138 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 7 duration 51 mins.
Operation 1 on Machine 3 duration 57 mins.
Operation 2 on Machine 4 duration 136 mins.
Operation 3 on Machine 0 duration 217 mins.
Operation 4 on Machine 6 duration 143 mins.
Operation 5 on Machine 1 duration 7 mins.
Operation 6 on Machine 5 duration 184 mins.
Operation 7 on Machine 8 duration 204 mins.
Operation 8 on Machine 2 duration 106 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 53 mins.
Operation 1 on Machine 5 duration 198 mins.
Operation 2 on Machine 4 duration 216 mins.
Operation 3 on Machine 2 duration 127 mins.
Operation 4 on Machine 7 duration 49 mins.
Operation 5 on Machine 8 duration 11 mins.
Operation 6 on Machine 0 duration 222 mins.
Operation 7 on Machine 1 duration 51 mins.
Operation 8 on Machine 3 duration 123 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 22 mins.
Operation 1 on Machine 7 duration 154 mins.
Operation 2 on Machine 0 duration 209 mins.
Operation 3 on Machine 8 duration 47 mins.
Operation 4 on Machine 6 duration 86 mins.
Operation 5 on Machine 5 duration 11 mins.
Operation 6 on Machine 1 duration 125 mins.
Operation 7 on Machine 4 duration 173 mins.
Operation 8 on Machine 2 duration 13 mins.
| null |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 1 duration 37 mins.
Job 8 Operation 2 duration 209 mins.
Job 6 Operation 3 duration 217 mins.
Job 2 Operation 4 duration 79 mins.
Job 0 Operation 5 duration 73 mins.
Job 4 Operation 6 duration 223 mins.
Job 7 Operation 6 duration 222 mins.
Job 5 Operation 7 duration 145 mins.
Job 3 Operation 8 duration 50 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 1 duration 214 mins.
Job 1 Operation 2 duration 153 mins.
Job 3 Operation 4 duration 130 mins.
Job 6 Operation 5 duration 7 mins.
Job 8 Operation 6 duration 125 mins.
Job 2 Operation 7 duration 150 mins.
Job 7 Operation 7 duration 51 mins.
Job 0 Operation 8 duration 210 mins.
Job 4 Operation 8 duration 161 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 115 mins.
Job 1 Operation 0 duration 83 mins.
Job 3 Operation 1 duration 28 mins.
Job 5 Operation 3 duration 149 mins.
Job 7 Operation 3 duration 127 mins.
Job 2 Operation 5 duration 46 mins.
Job 4 Operation 7 duration 221 mins.
Job 6 Operation 8 duration 106 mins.
Job 8 Operation 8 duration 13 mins.
Machine 3 is used for the following Operations:
Job 8 Operation 0 duration 22 mins.
Job 6 Operation 1 duration 57 mins.
Job 4 Operation 2 duration 221 mins.
Job 3 Operation 3 duration 29 mins.
Job 5 Operation 6 duration 50 mins.
Job 0 Operation 7 duration 13 mins.
Job 1 Operation 7 duration 166 mins.
Job 2 Operation 8 duration 159 mins.
Job 7 Operation 8 duration 123 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 2 duration 170 mins.
Job 6 Operation 2 duration 136 mins.
Job 7 Operation 2 duration 216 mins.
Job 4 Operation 3 duration 217 mins.
Job 0 Operation 4 duration 145 mins.
Job 1 Operation 5 duration 14 mins.
Job 3 Operation 5 duration 186 mins.
Job 8 Operation 7 duration 173 mins.
Job 5 Operation 8 duration 138 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 60 mins.
Job 3 Operation 0 duration 103 mins.
Job 4 Operation 0 duration 150 mins.
Job 7 Operation 1 duration 198 mins.
Job 0 Operation 2 duration 167 mins.
Job 1 Operation 3 duration 129 mins.
Job 5 Operation 5 duration 88 mins.
Job 8 Operation 5 duration 11 mins.
Job 6 Operation 6 duration 184 mins.
Machine 6 is used for the following Operations:
Job 7 Operation 0 duration 53 mins.
Job 5 Operation 2 duration 195 mins.
Job 0 Operation 3 duration 6 mins.
Job 6 Operation 4 duration 143 mins.
Job 8 Operation 4 duration 86 mins.
Job 4 Operation 5 duration 114 mins.
Job 2 Operation 6 duration 208 mins.
Job 3 Operation 6 duration 109 mins.
Job 1 Operation 8 duration 56 mins.
Machine 7 is used for the following Operations:
Job 5 Operation 0 duration 172 mins.
Job 6 Operation 0 duration 51 mins.
Job 8 Operation 1 duration 154 mins.
Job 2 Operation 3 duration 112 mins.
Job 4 Operation 4 duration 209 mins.
Job 7 Operation 4 duration 49 mins.
Job 0 Operation 6 duration 40 mins.
Job 1 Operation 6 duration 11 mins.
Job 3 Operation 7 duration 134 mins.
Machine 8 is used for the following Operations:
Job 0 Operation 1 duration 139 mins.
Job 2 Operation 1 duration 214 mins.
Job 4 Operation 1 duration 48 mins.
Job 3 Operation 2 duration 98 mins.
Job 8 Operation 3 duration 47 mins.
Job 1 Operation 4 duration 12 mins.
Job 5 Operation 4 duration 158 mins.
Job 7 Operation 5 duration 11 mins.
Job 6 Operation 7 duration 204 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 2 : 0 + 115 -> 115
Job 8 Operation 0 on Machine 3 : 0 + 22 -> 22
Job 2 Operation 0 on Machine 5 : 0 + 60 -> 60
Job 7 Operation 0 on Machine 6 : 0 + 53 -> 53
Job 6 Operation 0 on Machine 7 : 0 + 51 -> 51
Job 6 Operation 1 on Machine 3 : 51 + 57 -> 108
Job 5 Operation 0 on Machine 7 : 51 + 172 -> 223
Job 4 Operation 0 on Machine 5 : 60 + 150 -> 210
Job 2 Operation 1 on Machine 8 : 60 + 214 -> 274
Job 6 Operation 2 on Machine 4 : 108 + 136 -> 244
Job 1 Operation 0 on Machine 2 : 115 + 83 -> 198
Job 1 Operation 1 on Machine 0 : 198 + 37 -> 235
Job 7 Operation 1 on Machine 5 : 210 + 198 -> 408
Job 5 Operation 1 on Machine 1 : 223 + 214 -> 437
Job 8 Operation 1 on Machine 7 : 223 + 154 -> 377
Job 6 Operation 3 on Machine 0 : 244 + 217 -> 461
Job 2 Operation 2 on Machine 4 : 274 + 170 -> 444
Job 4 Operation 1 on Machine 8 : 274 + 48 -> 322
Job 4 Operation 2 on Machine 3 : 322 + 221 -> 543
Job 0 Operation 1 on Machine 8 : 322 + 139 -> 461
Job 3 Operation 0 on Machine 5 : 408 + 103 -> 511
Job 1 Operation 2 on Machine 1 : 437 + 153 -> 590
Job 7 Operation 2 on Machine 4 : 444 + 216 -> 660
Job 2 Operation 3 on Machine 7 : 444 + 112 -> 556
Job 6 Operation 4 on Machine 6 : 461 + 143 -> 604
Job 3 Operation 1 on Machine 2 : 511 + 28 -> 539
Job 0 Operation 2 on Machine 5 : 511 + 167 -> 678
Job 3 Operation 2 on Machine 8 : 539 + 98 -> 637
Job 2 Operation 4 on Machine 0 : 556 + 79 -> 635
Job 6 Operation 5 on Machine 1 : 604 + 7 -> 611
Job 5 Operation 2 on Machine 6 : 604 + 195 -> 799
Job 8 Operation 2 on Machine 0 : 635 + 209 -> 844
Job 3 Operation 3 on Machine 3 : 637 + 29 -> 666
Job 7 Operation 3 on Machine 2 : 660 + 127 -> 787
Job 4 Operation 3 on Machine 4 : 660 + 217 -> 877
Job 3 Operation 4 on Machine 1 : 666 + 130 -> 796
Job 6 Operation 6 on Machine 5 : 678 + 184 -> 862
Job 7 Operation 4 on Machine 7 : 787 + 49 -> 836
Job 5 Operation 3 on Machine 2 : 799 + 149 -> 948
Job 0 Operation 3 on Machine 6 : 799 + 6 -> 805
Job 7 Operation 5 on Machine 8 : 836 + 11 -> 847
Job 7 Operation 6 on Machine 0 : 847 + 222 -> 1069
Job 8 Operation 3 on Machine 8 : 847 + 47 -> 894
Job 1 Operation 3 on Machine 5 : 862 + 129 -> 991
Job 0 Operation 4 on Machine 4 : 877 + 145 -> 1022
Job 4 Operation 4 on Machine 7 : 877 + 209 -> 1086
Job 8 Operation 4 on Machine 6 : 894 + 86 -> 980
Job 2 Operation 5 on Machine 2 : 948 + 46 -> 994
Job 8 Operation 5 on Machine 5 : 991 + 11 -> 1002
Job 1 Operation 4 on Machine 8 : 991 + 12 -> 1003
Job 8 Operation 6 on Machine 1 : 1002 + 125 -> 1127
Job 5 Operation 4 on Machine 8 : 1003 + 158 -> 1161
Job 1 Operation 5 on Machine 4 : 1022 + 14 -> 1036
Job 3 Operation 5 on Machine 4 : 1036 + 186 -> 1222
Job 0 Operation 5 on Machine 0 : 1069 + 73 -> 1142
Job 4 Operation 5 on Machine 6 : 1086 + 114 -> 1200
Job 1 Operation 6 on Machine 7 : 1086 + 11 -> 1097
Job 7 Operation 7 on Machine 1 : 1127 + 51 -> 1178
Job 0 Operation 6 on Machine 7 : 1142 + 40 -> 1182
Job 5 Operation 5 on Machine 5 : 1161 + 88 -> 1249
Job 6 Operation 7 on Machine 8 : 1161 + 204 -> 1365
Job 0 Operation 7 on Machine 3 : 1182 + 13 -> 1195
Job 0 Operation 8 on Machine 1 : 1195 + 210 -> 1405
Job 7 Operation 8 on Machine 3 : 1195 + 123 -> 1318
Job 4 Operation 6 on Machine 0 : 1200 + 223 -> 1423
Job 2 Operation 6 on Machine 6 : 1200 + 208 -> 1408
Job 8 Operation 7 on Machine 4 : 1222 + 173 -> 1395
Job 5 Operation 6 on Machine 3 : 1318 + 50 -> 1368
Job 1 Operation 7 on Machine 3 : 1368 + 166 -> 1534
Job 8 Operation 8 on Machine 2 : 1395 + 13 -> 1408
Job 2 Operation 7 on Machine 1 : 1408 + 150 -> 1558
Job 3 Operation 6 on Machine 6 : 1408 + 109 -> 1517
Job 5 Operation 7 on Machine 0 : 1423 + 145 -> 1568
Job 4 Operation 7 on Machine 2 : 1423 + 221 -> 1644
Job 3 Operation 7 on Machine 7 : 1517 + 134 -> 1651
Job 1 Operation 8 on Machine 6 : 1534 + 56 -> 1590
Job 2 Operation 8 on Machine 3 : 1558 + 159 -> 1717
Job 5 Operation 8 on Machine 4 : 1568 + 138 -> 1706
Job 4 Operation 8 on Machine 1 : 1644 + 161 -> 1805
Job 6 Operation 8 on Machine 2 : 1644 + 106 -> 1750
Job 3 Operation 8 on Machine 0 : 1651 + 50 -> 1701
Makespan: 1805.0, as it is the maximum end completion time of Operation 8
| null |
|
10 | 10 |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 315 mins.
Operation 1 on Machine 5 duration 197 mins.
Operation 2 on Machine 8 duration 128 mins.
Operation 3 on Machine 9 duration 102 mins.
Operation 4 on Machine 4 duration 179 mins.
Operation 5 on Machine 1 duration 249 mins.
Operation 6 on Machine 0 duration 234 mins.
Operation 7 on Machine 3 duration 328 mins.
Operation 8 on Machine 2 duration 51 mins.
Operation 9 on Machine 7 duration 190 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 127 mins.
Operation 1 on Machine 7 duration 40 mins.
Operation 2 on Machine 3 duration 196 mins.
Operation 3 on Machine 4 duration 229 mins.
Operation 4 on Machine 2 duration 117 mins.
Operation 5 on Machine 9 duration 191 mins.
Operation 6 on Machine 1 duration 50 mins.
Operation 7 on Machine 8 duration 249 mins.
Operation 8 on Machine 6 duration 210 mins.
Operation 9 on Machine 5 duration 274 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 326 mins.
Operation 1 on Machine 3 duration 309 mins.
Operation 2 on Machine 1 duration 223 mins.
Operation 3 on Machine 9 duration 39 mins.
Operation 4 on Machine 6 duration 110 mins.
Operation 5 on Machine 2 duration 147 mins.
Operation 6 on Machine 7 duration 135 mins.
Operation 7 on Machine 5 duration 169 mins.
Operation 8 on Machine 8 duration 181 mins.
Operation 9 on Machine 0 duration 158 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 194 mins.
Operation 1 on Machine 9 duration 324 mins.
Operation 2 on Machine 8 duration 240 mins.
Operation 3 on Machine 5 duration 251 mins.
Operation 4 on Machine 6 duration 161 mins.
Operation 5 on Machine 7 duration 221 mins.
Operation 6 on Machine 0 duration 341 mins.
Operation 7 on Machine 1 duration 226 mins.
Operation 8 on Machine 3 duration 254 mins.
Operation 9 on Machine 4 duration 366 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 189 mins.
Operation 1 on Machine 5 duration 96 mins.
Operation 2 on Machine 1 duration 76 mins.
Operation 3 on Machine 2 duration 108 mins.
Operation 4 on Machine 0 duration 202 mins.
Operation 5 on Machine 4 duration 240 mins.
Operation 6 on Machine 8 duration 173 mins.
Operation 7 on Machine 6 duration 252 mins.
Operation 8 on Machine 9 duration 22 mins.
Operation 9 on Machine 3 duration 274 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 113 mins.
Operation 1 on Machine 2 duration 165 mins.
Operation 2 on Machine 4 duration 160 mins.
Operation 3 on Machine 3 duration 67 mins.
Operation 4 on Machine 7 duration 71 mins.
Operation 5 on Machine 8 duration 322 mins.
Operation 6 on Machine 0 duration 149 mins.
Operation 7 on Machine 5 duration 308 mins.
Operation 8 on Machine 1 duration 280 mins.
Operation 9 on Machine 9 duration 116 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 255 mins.
Operation 1 on Machine 1 duration 243 mins.
Operation 2 on Machine 9 duration 222 mins.
Operation 3 on Machine 2 duration 13 mins.
Operation 4 on Machine 8 duration 113 mins.
Operation 5 on Machine 7 duration 72 mins.
Operation 6 on Machine 0 duration 125 mins.
Operation 7 on Machine 3 duration 146 mins.
Operation 8 on Machine 4 duration 174 mins.
Operation 9 on Machine 5 duration 33 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 73 mins.
Operation 1 on Machine 9 duration 264 mins.
Operation 2 on Machine 6 duration 206 mins.
Operation 3 on Machine 2 duration 324 mins.
Operation 4 on Machine 5 duration 50 mins.
Operation 5 on Machine 7 duration 286 mins.
Operation 6 on Machine 4 duration 163 mins.
Operation 7 on Machine 1 duration 363 mins.
Operation 8 on Machine 3 duration 65 mins.
Operation 9 on Machine 8 duration 239 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 4 duration 124 mins.
Operation 1 on Machine 6 duration 68 mins.
Operation 2 on Machine 1 duration 284 mins.
Operation 3 on Machine 5 duration 339 mins.
Operation 4 on Machine 2 duration 172 mins.
Operation 5 on Machine 9 duration 233 mins.
Operation 6 on Machine 7 duration 136 mins.
Operation 7 on Machine 8 duration 235 mins.
Operation 8 on Machine 3 duration 255 mins.
Operation 9 on Machine 0 duration 254 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 7 duration 269 mins.
Operation 1 on Machine 8 duration 206 mins.
Operation 2 on Machine 4 duration 346 mins.
Operation 3 on Machine 6 duration 332 mins.
Operation 4 on Machine 5 duration 26 mins.
Operation 5 on Machine 0 duration 277 mins.
Operation 6 on Machine 1 duration 23 mins.
Operation 7 on Machine 9 duration 199 mins.
Operation 8 on Machine 3 duration 201 mins.
Operation 9 on Machine 2 duration 165 mins.
| null |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 127 mins.
Job 7 Operation 0 duration 73 mins.
Job 4 Operation 4 duration 202 mins.
Job 9 Operation 5 duration 277 mins.
Job 0 Operation 6 duration 234 mins.
Job 3 Operation 6 duration 341 mins.
Job 5 Operation 6 duration 149 mins.
Job 6 Operation 6 duration 125 mins.
Job 2 Operation 9 duration 158 mins.
Job 8 Operation 9 duration 254 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 1 duration 243 mins.
Job 2 Operation 2 duration 223 mins.
Job 4 Operation 2 duration 76 mins.
Job 8 Operation 2 duration 284 mins.
Job 0 Operation 5 duration 249 mins.
Job 1 Operation 6 duration 50 mins.
Job 9 Operation 6 duration 23 mins.
Job 3 Operation 7 duration 226 mins.
Job 7 Operation 7 duration 363 mins.
Job 5 Operation 8 duration 280 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 194 mins.
Job 5 Operation 1 duration 165 mins.
Job 4 Operation 3 duration 108 mins.
Job 6 Operation 3 duration 13 mins.
Job 7 Operation 3 duration 324 mins.
Job 1 Operation 4 duration 117 mins.
Job 8 Operation 4 duration 172 mins.
Job 2 Operation 5 duration 147 mins.
Job 0 Operation 8 duration 51 mins.
Job 9 Operation 9 duration 165 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 309 mins.
Job 1 Operation 2 duration 196 mins.
Job 5 Operation 3 duration 67 mins.
Job 0 Operation 7 duration 328 mins.
Job 6 Operation 7 duration 146 mins.
Job 3 Operation 8 duration 254 mins.
Job 7 Operation 8 duration 65 mins.
Job 8 Operation 8 duration 255 mins.
Job 9 Operation 8 duration 201 mins.
Job 4 Operation 9 duration 274 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 326 mins.
Job 8 Operation 0 duration 124 mins.
Job 5 Operation 2 duration 160 mins.
Job 9 Operation 2 duration 346 mins.
Job 1 Operation 3 duration 229 mins.
Job 0 Operation 4 duration 179 mins.
Job 4 Operation 5 duration 240 mins.
Job 7 Operation 6 duration 163 mins.
Job 6 Operation 8 duration 174 mins.
Job 3 Operation 9 duration 366 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 1 duration 197 mins.
Job 4 Operation 1 duration 96 mins.
Job 3 Operation 3 duration 251 mins.
Job 8 Operation 3 duration 339 mins.
Job 7 Operation 4 duration 50 mins.
Job 9 Operation 4 duration 26 mins.
Job 2 Operation 7 duration 169 mins.
Job 5 Operation 7 duration 308 mins.
Job 1 Operation 9 duration 274 mins.
Job 6 Operation 9 duration 33 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 315 mins.
Job 5 Operation 0 duration 113 mins.
Job 6 Operation 0 duration 255 mins.
Job 8 Operation 1 duration 68 mins.
Job 7 Operation 2 duration 206 mins.
Job 9 Operation 3 duration 332 mins.
Job 2 Operation 4 duration 110 mins.
Job 3 Operation 4 duration 161 mins.
Job 4 Operation 7 duration 252 mins.
Job 1 Operation 8 duration 210 mins.
Machine 7 is used for the following Operations:
Job 4 Operation 0 duration 189 mins.
Job 9 Operation 0 duration 269 mins.
Job 1 Operation 1 duration 40 mins.
Job 5 Operation 4 duration 71 mins.
Job 3 Operation 5 duration 221 mins.
Job 6 Operation 5 duration 72 mins.
Job 7 Operation 5 duration 286 mins.
Job 2 Operation 6 duration 135 mins.
Job 8 Operation 6 duration 136 mins.
Job 0 Operation 9 duration 190 mins.
Machine 8 is used for the following Operations:
Job 9 Operation 1 duration 206 mins.
Job 0 Operation 2 duration 128 mins.
Job 3 Operation 2 duration 240 mins.
Job 6 Operation 4 duration 113 mins.
Job 5 Operation 5 duration 322 mins.
Job 4 Operation 6 duration 173 mins.
Job 1 Operation 7 duration 249 mins.
Job 8 Operation 7 duration 235 mins.
Job 2 Operation 8 duration 181 mins.
Job 7 Operation 9 duration 239 mins.
Machine 9 is used for the following Operations:
Job 3 Operation 1 duration 324 mins.
Job 7 Operation 1 duration 264 mins.
Job 6 Operation 2 duration 222 mins.
Job 0 Operation 3 duration 102 mins.
Job 2 Operation 3 duration 39 mins.
Job 1 Operation 5 duration 191 mins.
Job 8 Operation 5 duration 233 mins.
Job 9 Operation 7 duration 199 mins.
Job 4 Operation 8 duration 22 mins.
Job 5 Operation 9 duration 116 mins.
| null |
Solution:
Job 7 Operation 0 on Machine 0 : 0 + 73 -> 73
Job 3 Operation 0 on Machine 2 : 0 + 194 -> 194
Job 8 Operation 0 on Machine 4 : 0 + 124 -> 124
Job 0 Operation 0 on Machine 6 : 0 + 315 -> 315
Job 4 Operation 0 on Machine 7 : 0 + 189 -> 189
Job 1 Operation 0 on Machine 0 : 73 + 127 -> 200
Job 7 Operation 1 on Machine 9 : 73 + 264 -> 337
Job 2 Operation 0 on Machine 4 : 124 + 326 -> 450
Job 4 Operation 1 on Machine 5 : 189 + 96 -> 285
Job 1 Operation 1 on Machine 7 : 200 + 40 -> 240
Job 1 Operation 2 on Machine 3 : 240 + 196 -> 436
Job 9 Operation 0 on Machine 7 : 240 + 269 -> 509
Job 4 Operation 2 on Machine 1 : 285 + 76 -> 361
Job 0 Operation 1 on Machine 5 : 315 + 197 -> 512
Job 8 Operation 1 on Machine 6 : 315 + 68 -> 383
Job 3 Operation 1 on Machine 9 : 337 + 324 -> 661
Job 4 Operation 3 on Machine 2 : 361 + 108 -> 469
Job 8 Operation 2 on Machine 1 : 383 + 284 -> 667
Job 7 Operation 2 on Machine 6 : 383 + 206 -> 589
Job 2 Operation 1 on Machine 3 : 450 + 309 -> 759
Job 1 Operation 3 on Machine 4 : 450 + 229 -> 679
Job 4 Operation 4 on Machine 0 : 469 + 202 -> 671
Job 0 Operation 2 on Machine 8 : 512 + 128 -> 640
Job 7 Operation 3 on Machine 2 : 589 + 324 -> 913
Job 6 Operation 0 on Machine 6 : 589 + 255 -> 844
Job 3 Operation 2 on Machine 8 : 661 + 240 -> 901
Job 0 Operation 3 on Machine 9 : 661 + 102 -> 763
Job 8 Operation 3 on Machine 5 : 667 + 339 -> 1006
Job 4 Operation 5 on Machine 4 : 679 + 240 -> 919
Job 6 Operation 1 on Machine 1 : 844 + 243 -> 1087
Job 5 Operation 0 on Machine 6 : 844 + 113 -> 957
Job 0 Operation 4 on Machine 4 : 919 + 179 -> 1098
Job 4 Operation 6 on Machine 8 : 919 + 173 -> 1092
Job 5 Operation 1 on Machine 2 : 957 + 165 -> 1122
Job 7 Operation 4 on Machine 5 : 1006 + 50 -> 1056
Job 3 Operation 3 on Machine 5 : 1056 + 251 -> 1307
Job 7 Operation 5 on Machine 7 : 1056 + 286 -> 1342
Job 6 Operation 2 on Machine 9 : 1087 + 222 -> 1309
Job 4 Operation 7 on Machine 6 : 1092 + 252 -> 1344
Job 9 Operation 1 on Machine 8 : 1092 + 206 -> 1298
Job 0 Operation 5 on Machine 1 : 1098 + 249 -> 1347
Job 8 Operation 4 on Machine 2 : 1122 + 172 -> 1294
Job 5 Operation 2 on Machine 4 : 1122 + 160 -> 1282
Job 5 Operation 3 on Machine 3 : 1282 + 67 -> 1349
Job 6 Operation 3 on Machine 2 : 1309 + 13 -> 1322
Job 1 Operation 4 on Machine 2 : 1322 + 117 -> 1439
Job 6 Operation 4 on Machine 8 : 1322 + 113 -> 1435
Job 7 Operation 6 on Machine 4 : 1342 + 163 -> 1505
Job 3 Operation 4 on Machine 6 : 1344 + 161 -> 1505
Job 4 Operation 8 on Machine 9 : 1344 + 22 -> 1366
Job 0 Operation 6 on Machine 0 : 1347 + 234 -> 1581
Job 2 Operation 2 on Machine 1 : 1347 + 223 -> 1570
Job 5 Operation 4 on Machine 7 : 1349 + 71 -> 1420
Job 4 Operation 9 on Machine 3 : 1366 + 274 -> 1640
Job 8 Operation 5 on Machine 9 : 1366 + 233 -> 1599
Job 6 Operation 5 on Machine 7 : 1435 + 72 -> 1507
Job 5 Operation 5 on Machine 8 : 1435 + 322 -> 1757
Job 9 Operation 2 on Machine 4 : 1505 + 346 -> 1851
Job 3 Operation 5 on Machine 7 : 1507 + 221 -> 1728
Job 7 Operation 7 on Machine 1 : 1570 + 363 -> 1933
Job 6 Operation 6 on Machine 0 : 1581 + 125 -> 1706
Job 2 Operation 3 on Machine 9 : 1599 + 39 -> 1638
Job 2 Operation 4 on Machine 6 : 1638 + 110 -> 1748
Job 1 Operation 5 on Machine 9 : 1638 + 191 -> 1829
Job 0 Operation 7 on Machine 3 : 1640 + 328 -> 1968
Job 3 Operation 6 on Machine 0 : 1728 + 341 -> 2069
Job 8 Operation 6 on Machine 7 : 1728 + 136 -> 1864
Job 2 Operation 5 on Machine 2 : 1748 + 147 -> 1895
Job 9 Operation 3 on Machine 6 : 1851 + 332 -> 2183
Job 8 Operation 7 on Machine 8 : 1864 + 235 -> 2099
Job 2 Operation 6 on Machine 7 : 1895 + 135 -> 2030
Job 1 Operation 6 on Machine 1 : 1933 + 50 -> 1983
Job 0 Operation 8 on Machine 2 : 1968 + 51 -> 2019
Job 7 Operation 8 on Machine 3 : 1968 + 65 -> 2033
Job 0 Operation 9 on Machine 7 : 2030 + 190 -> 2220
Job 6 Operation 7 on Machine 3 : 2033 + 146 -> 2179
Job 5 Operation 6 on Machine 0 : 2069 + 149 -> 2218
Job 3 Operation 7 on Machine 1 : 2069 + 226 -> 2295
Job 1 Operation 7 on Machine 8 : 2099 + 249 -> 2348
Job 8 Operation 8 on Machine 3 : 2179 + 255 -> 2434
Job 6 Operation 8 on Machine 4 : 2179 + 174 -> 2353
Job 9 Operation 4 on Machine 5 : 2183 + 26 -> 2209
Job 2 Operation 7 on Machine 5 : 2209 + 169 -> 2378
Job 9 Operation 5 on Machine 0 : 2218 + 277 -> 2495
Job 1 Operation 8 on Machine 6 : 2348 + 210 -> 2558
Job 5 Operation 7 on Machine 5 : 2378 + 308 -> 2686
Job 2 Operation 8 on Machine 8 : 2378 + 181 -> 2559
Job 3 Operation 8 on Machine 3 : 2434 + 254 -> 2688
Job 8 Operation 9 on Machine 0 : 2495 + 254 -> 2749
Job 9 Operation 6 on Machine 1 : 2495 + 23 -> 2518
Job 9 Operation 7 on Machine 9 : 2518 + 199 -> 2717
Job 7 Operation 9 on Machine 8 : 2559 + 239 -> 2798
Job 5 Operation 8 on Machine 1 : 2686 + 280 -> 2966
Job 6 Operation 9 on Machine 5 : 2686 + 33 -> 2719
Job 3 Operation 9 on Machine 4 : 2688 + 366 -> 3054
Job 9 Operation 8 on Machine 3 : 2717 + 201 -> 2918
Job 1 Operation 9 on Machine 5 : 2719 + 274 -> 2993
Job 2 Operation 9 on Machine 0 : 2749 + 158 -> 2907
Job 9 Operation 9 on Machine 2 : 2918 + 165 -> 3083
Job 5 Operation 9 on Machine 9 : 2966 + 116 -> 3082
Makespan: 3083.0, as it is the maximum end completion time of Operation 9
| 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 71 mins.
Operation 1 on Machine 0 duration 52 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 138 mins.
Operation 1 on Machine 1 duration 110 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 15 mins.
Operation 1 on Machine 1 duration 3 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 147 mins.
Operation 1 on Machine 0 duration 145 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 17 mins.
Operation 1 on Machine 1 duration 71 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 88 mins.
Operation 1 on Machine 1 duration 4 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 62 mins.
Operation 1 on Machine 1 duration 140 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 20 mins.
Operation 1 on Machine 0 duration 57 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 1 Operation 0 duration 138 mins.
Job 2 Operation 0 duration 15 mins.
Job 4 Operation 0 duration 17 mins.
Job 5 Operation 0 duration 88 mins.
Job 6 Operation 0 duration 62 mins.
Job 0 Operation 1 duration 52 mins.
Job 3 Operation 1 duration 145 mins.
Job 7 Operation 1 duration 57 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 71 mins.
Job 3 Operation 0 duration 147 mins.
Job 7 Operation 0 duration 20 mins.
Job 1 Operation 1 duration 110 mins.
Job 2 Operation 1 duration 3 mins.
Job 4 Operation 1 duration 71 mins.
Job 5 Operation 1 duration 4 mins.
Job 6 Operation 1 duration 140 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 15 -> 15
Job 3 Operation 0 on Machine 1 : 0 + 147 -> 147
Job 1 Operation 0 on Machine 0 : 15 + 138 -> 153
Job 2 Operation 1 on Machine 1 : 147 + 3 -> 150
Job 4 Operation 0 on Machine 0 : 153 + 17 -> 170
Job 1 Operation 1 on Machine 1 : 153 + 110 -> 263
Job 5 Operation 0 on Machine 0 : 170 + 88 -> 258
Job 6 Operation 0 on Machine 0 : 258 + 62 -> 320
Job 5 Operation 1 on Machine 1 : 263 + 4 -> 267
Job 7 Operation 0 on Machine 1 : 267 + 20 -> 287
Job 0 Operation 0 on Machine 1 : 287 + 71 -> 358
Job 7 Operation 1 on Machine 0 : 320 + 57 -> 377
Job 4 Operation 1 on Machine 1 : 358 + 71 -> 429
Job 0 Operation 1 on Machine 0 : 377 + 52 -> 429
Job 3 Operation 1 on Machine 0 : 429 + 145 -> 574
Job 6 Operation 1 on Machine 1 : 429 + 140 -> 569
Makespan: 574.0, 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 282 mins.
Operation 1 on Machine 1 duration 95 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 226 mins.
Operation 1 on Machine 1 duration 352 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 119 mins.
Operation 1 on Machine 0 duration 355 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 162 mins.
Operation 1 on Machine 0 duration 267 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 311 mins.
Operation 1 on Machine 1 duration 114 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 326 mins.
Operation 1 on Machine 1 duration 173 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 261 mins.
Operation 1 on Machine 1 duration 64 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 282 mins.
Job 1 Operation 0 duration 226 mins.
Job 4 Operation 0 duration 311 mins.
Job 5 Operation 0 duration 326 mins.
Job 6 Operation 0 duration 261 mins.
Job 2 Operation 1 duration 355 mins.
Job 3 Operation 1 duration 267 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 119 mins.
Job 3 Operation 0 duration 162 mins.
Job 0 Operation 1 duration 95 mins.
Job 1 Operation 1 duration 352 mins.
Job 4 Operation 1 duration 114 mins.
Job 5 Operation 1 duration 173 mins.
Job 6 Operation 1 duration 64 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 226 -> 226
Job 2 Operation 0 on Machine 1 : 0 + 119 -> 119
Job 3 Operation 0 on Machine 1 : 119 + 162 -> 281
Job 6 Operation 0 on Machine 0 : 226 + 261 -> 487
Job 1 Operation 1 on Machine 1 : 281 + 352 -> 633
Job 3 Operation 1 on Machine 0 : 487 + 267 -> 754
Job 6 Operation 1 on Machine 1 : 633 + 64 -> 697
Job 0 Operation 0 on Machine 0 : 754 + 282 -> 1036
Job 4 Operation 0 on Machine 0 : 1036 + 311 -> 1347
Job 0 Operation 1 on Machine 1 : 1036 + 95 -> 1131
Job 5 Operation 0 on Machine 0 : 1347 + 326 -> 1673
Job 4 Operation 1 on Machine 1 : 1347 + 114 -> 1461
Job 2 Operation 1 on Machine 0 : 1673 + 355 -> 2028
Job 5 Operation 1 on Machine 1 : 1673 + 173 -> 1846
Makespan: 2028.0, as it is the maximum end completion time of Operation 1
| 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 14 mins.
Operation 1 on Machine 14 duration 12 mins.
Operation 2 on Machine 3 duration 41 mins.
Operation 3 on Machine 11 duration 37 mins.
Operation 4 on Machine 7 duration 58 mins.
Operation 5 on Machine 12 duration 34 mins.
Operation 6 on Machine 8 duration 60 mins.
Operation 7 on Machine 6 duration 18 mins.
Operation 8 on Machine 13 duration 44 mins.
Operation 9 on Machine 1 duration 6 mins.
Operation 10 on Machine 4 duration 87 mins.
Operation 11 on Machine 5 duration 30 mins.
Operation 12 on Machine 10 duration 55 mins.
Operation 13 on Machine 0 duration 81 mins.
Operation 14 on Machine 2 duration 72 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 87 mins.
Operation 1 on Machine 12 duration 39 mins.
Operation 2 on Machine 0 duration 5 mins.
Operation 3 on Machine 11 duration 12 mins.
Operation 4 on Machine 5 duration 20 mins.
Operation 5 on Machine 10 duration 79 mins.
Operation 6 on Machine 3 duration 86 mins.
Operation 7 on Machine 7 duration 38 mins.
Operation 8 on Machine 1 duration 11 mins.
Operation 9 on Machine 6 duration 54 mins.
Operation 10 on Machine 9 duration 87 mins.
Operation 11 on Machine 14 duration 57 mins.
Operation 12 on Machine 4 duration 84 mins.
Operation 13 on Machine 13 duration 53 mins.
Operation 14 on Machine 8 duration 35 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 14 duration 85 mins.
Operation 1 on Machine 1 duration 56 mins.
Operation 2 on Machine 3 duration 90 mins.
Operation 3 on Machine 7 duration 28 mins.
Operation 4 on Machine 11 duration 31 mins.
Operation 5 on Machine 9 duration 47 mins.
Operation 6 on Machine 6 duration 61 mins.
Operation 7 on Machine 5 duration 27 mins.
Operation 8 on Machine 0 duration 22 mins.
Operation 9 on Machine 8 duration 16 mins.
Operation 10 on Machine 12 duration 11 mins.
Operation 11 on Machine 2 duration 62 mins.
Operation 12 on Machine 13 duration 79 mins.
Operation 13 on Machine 10 duration 29 mins.
Operation 14 on Machine 4 duration 38 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 14 mins.
Operation 1 on Machine 1 duration 36 mins.
Operation 2 on Machine 6 duration 35 mins.
Operation 3 on Machine 12 duration 32 mins.
Operation 4 on Machine 7 duration 71 mins.
Operation 5 on Machine 8 duration 2 mins.
Operation 6 on Machine 11 duration 9 mins.
Operation 7 on Machine 5 duration 36 mins.
Operation 8 on Machine 14 duration 16 mins.
Operation 9 on Machine 2 duration 34 mins.
Operation 10 on Machine 13 duration 74 mins.
Operation 11 on Machine 10 duration 47 mins.
Operation 12 on Machine 0 duration 21 mins.
Operation 13 on Machine 9 duration 67 mins.
Operation 14 on Machine 4 duration 49 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 13 duration 59 mins.
Operation 1 on Machine 10 duration 11 mins.
Operation 2 on Machine 14 duration 75 mins.
Operation 3 on Machine 6 duration 62 mins.
Operation 4 on Machine 3 duration 25 mins.
Operation 5 on Machine 0 duration 83 mins.
Operation 6 on Machine 11 duration 77 mins.
Operation 7 on Machine 4 duration 79 mins.
Operation 8 on Machine 7 duration 62 mins.
Operation 9 on Machine 5 duration 88 mins.
Operation 10 on Machine 8 duration 32 mins.
Operation 11 on Machine 1 duration 51 mins.
Operation 12 on Machine 12 duration 3 mins.
Operation 13 on Machine 9 duration 3 mins.
Operation 14 on Machine 2 duration 94 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 7 mins.
Operation 1 on Machine 11 duration 14 mins.
Operation 2 on Machine 9 duration 70 mins.
Operation 3 on Machine 2 duration 91 mins.
Operation 4 on Machine 1 duration 46 mins.
Operation 5 on Machine 14 duration 78 mins.
Operation 6 on Machine 5 duration 76 mins.
Operation 7 on Machine 8 duration 65 mins.
Operation 8 on Machine 10 duration 5 mins.
Operation 9 on Machine 7 duration 54 mins.
Operation 10 on Machine 12 duration 52 mins.
Operation 11 on Machine 13 duration 49 mins.
Operation 12 on Machine 4 duration 7 mins.
Operation 13 on Machine 3 duration 44 mins.
Operation 14 on Machine 0 duration 39 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 1 mins.
Operation 1 on Machine 1 duration 39 mins.
Operation 2 on Machine 10 duration 72 mins.
Operation 3 on Machine 11 duration 23 mins.
Operation 4 on Machine 8 duration 88 mins.
Operation 5 on Machine 6 duration 50 mins.
Operation 6 on Machine 12 duration 80 mins.
Operation 7 on Machine 3 duration 50 mins.
Operation 8 on Machine 14 duration 65 mins.
Operation 9 on Machine 9 duration 50 mins.
Operation 10 on Machine 5 duration 86 mins.
Operation 11 on Machine 2 duration 61 mins.
Operation 12 on Machine 13 duration 48 mins.
Operation 13 on Machine 0 duration 3 mins.
Operation 14 on Machine 7 duration 85 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 5 duration 8 mins.
Operation 1 on Machine 6 duration 4 mins.
Operation 2 on Machine 0 duration 92 mins.
Operation 3 on Machine 4 duration 81 mins.
Operation 4 on Machine 3 duration 20 mins.
Operation 5 on Machine 7 duration 29 mins.
Operation 6 on Machine 1 duration 58 mins.
Operation 7 on Machine 13 duration 40 mins.
Operation 8 on Machine 12 duration 56 mins.
Operation 9 on Machine 11 duration 61 mins.
Operation 10 on Machine 14 duration 88 mins.
Operation 11 on Machine 2 duration 58 mins.
Operation 12 on Machine 9 duration 61 mins.
Operation 13 on Machine 10 duration 10 mins.
Operation 14 on Machine 8 duration 64 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 10 duration 46 mins.
Operation 1 on Machine 13 duration 61 mins.
Operation 2 on Machine 14 duration 54 mins.
Operation 3 on Machine 9 duration 53 mins.
Operation 4 on Machine 4 duration 30 mins.
Operation 5 on Machine 0 duration 74 mins.
Operation 6 on Machine 5 duration 25 mins.
Operation 7 on Machine 6 duration 35 mins.
Operation 8 on Machine 7 duration 70 mins.
Operation 9 on Machine 3 duration 26 mins.
Operation 10 on Machine 2 duration 38 mins.
Operation 11 on Machine 1 duration 68 mins.
Operation 12 on Machine 12 duration 59 mins.
Operation 13 on Machine 8 duration 40 mins.
Operation 14 on Machine 11 duration 77 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 5 duration 59 mins.
Operation 1 on Machine 1 duration 22 mins.
Operation 2 on Machine 2 duration 83 mins.
Operation 3 on Machine 7 duration 44 mins.
Operation 4 on Machine 12 duration 22 mins.
Operation 5 on Machine 3 duration 9 mins.
Operation 6 on Machine 13 duration 51 mins.
Operation 7 on Machine 11 duration 45 mins.
Operation 8 on Machine 0 duration 42 mins.
Operation 9 on Machine 8 duration 93 mins.
Operation 10 on Machine 6 duration 69 mins.
Operation 11 on Machine 10 duration 56 mins.
Operation 12 on Machine 9 duration 68 mins.
Operation 13 on Machine 4 duration 47 mins.
Operation 14 on Machine 14 duration 91 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 6 duration 51 mins.
Operation 1 on Machine 11 duration 87 mins.
Operation 2 on Machine 2 duration 29 mins.
Operation 3 on Machine 1 duration 89 mins.
Operation 4 on Machine 14 duration 38 mins.
Operation 5 on Machine 8 duration 41 mins.
Operation 6 on Machine 7 duration 13 mins.
Operation 7 on Machine 12 duration 48 mins.
Operation 8 on Machine 10 duration 87 mins.
Operation 9 on Machine 3 duration 64 mins.
Operation 10 on Machine 4 duration 54 mins.
Operation 11 on Machine 0 duration 81 mins.
Operation 12 on Machine 9 duration 41 mins.
Operation 13 on Machine 5 duration 54 mins.
Operation 14 on Machine 13 duration 91 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 9 duration 21 mins.
Operation 1 on Machine 6 duration 37 mins.
Operation 2 on Machine 0 duration 8 mins.
Operation 3 on Machine 7 duration 67 mins.
Operation 4 on Machine 8 duration 26 mins.
Operation 5 on Machine 11 duration 25 mins.
Operation 6 on Machine 2 duration 19 mins.
Operation 7 on Machine 14 duration 21 mins.
Operation 8 on Machine 12 duration 39 mins.
Operation 9 on Machine 1 duration 69 mins.
Operation 10 on Machine 5 duration 45 mins.
Operation 11 on Machine 10 duration 41 mins.
Operation 12 on Machine 3 duration 74 mins.
Operation 13 on Machine 13 duration 64 mins.
Operation 14 on Machine 4 duration 77 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 3 duration 22 mins.
Operation 1 on Machine 0 duration 9 mins.
Operation 2 on Machine 9 duration 39 mins.
Operation 3 on Machine 4 duration 67 mins.
Operation 4 on Machine 5 duration 21 mins.
Operation 5 on Machine 2 duration 1 mins.
Operation 6 on Machine 7 duration 85 mins.
Operation 7 on Machine 12 duration 90 mins.
Operation 8 on Machine 10 duration 79 mins.
Operation 9 on Machine 14 duration 93 mins.
Operation 10 on Machine 11 duration 38 mins.
Operation 11 on Machine 8 duration 11 mins.
Operation 12 on Machine 13 duration 70 mins.
Operation 13 on Machine 6 duration 11 mins.
Operation 14 on Machine 1 duration 61 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 11 duration 9 mins.
Operation 1 on Machine 9 duration 73 mins.
Operation 2 on Machine 10 duration 37 mins.
Operation 3 on Machine 5 duration 89 mins.
Operation 4 on Machine 8 duration 44 mins.
Operation 5 on Machine 3 duration 43 mins.
Operation 6 on Machine 2 duration 8 mins.
Operation 7 on Machine 6 duration 67 mins.
Operation 8 on Machine 4 duration 46 mins.
Operation 9 on Machine 13 duration 33 mins.
Operation 10 on Machine 7 duration 33 mins.
Operation 11 on Machine 0 duration 29 mins.
Operation 12 on Machine 14 duration 38 mins.
Operation 13 on Machine 1 duration 65 mins.
Operation 14 on Machine 12 duration 15 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 10 duration 53 mins.
Operation 1 on Machine 2 duration 11 mins.
Operation 2 on Machine 12 duration 64 mins.
Operation 3 on Machine 13 duration 80 mins.
Operation 4 on Machine 6 duration 4 mins.
Operation 5 on Machine 0 duration 1 mins.
Operation 6 on Machine 4 duration 56 mins.
Operation 7 on Machine 5 duration 6 mins.
Operation 8 on Machine 1 duration 18 mins.
Operation 9 on Machine 3 duration 94 mins.
Operation 10 on Machine 7 duration 20 mins.
Operation 11 on Machine 9 duration 75 mins.
Operation 12 on Machine 8 duration 79 mins.
Operation 13 on Machine 11 duration 1 mins.
Operation 14 on Machine 14 duration 3 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 12 Operation 1 duration 9 mins.
Job 1 Operation 2 duration 5 mins.
Job 7 Operation 2 duration 92 mins.
Job 11 Operation 2 duration 8 mins.
Job 4 Operation 5 duration 83 mins.
Job 8 Operation 5 duration 74 mins.
Job 14 Operation 5 duration 1 mins.
Job 2 Operation 8 duration 22 mins.
Job 9 Operation 8 duration 42 mins.
Job 10 Operation 11 duration 81 mins.
Job 13 Operation 11 duration 29 mins.
Job 3 Operation 12 duration 21 mins.
Job 0 Operation 13 duration 81 mins.
Job 6 Operation 13 duration 3 mins.
Job 5 Operation 14 duration 39 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 1 duration 56 mins.
Job 3 Operation 1 duration 36 mins.
Job 6 Operation 1 duration 39 mins.
Job 9 Operation 1 duration 22 mins.
Job 10 Operation 3 duration 89 mins.
Job 5 Operation 4 duration 46 mins.
Job 7 Operation 6 duration 58 mins.
Job 1 Operation 8 duration 11 mins.
Job 14 Operation 8 duration 18 mins.
Job 0 Operation 9 duration 6 mins.
Job 11 Operation 9 duration 69 mins.
Job 4 Operation 11 duration 51 mins.
Job 8 Operation 11 duration 68 mins.
Job 13 Operation 13 duration 65 mins.
Job 12 Operation 14 duration 61 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 87 mins.
Job 14 Operation 1 duration 11 mins.
Job 9 Operation 2 duration 83 mins.
Job 10 Operation 2 duration 29 mins.
Job 5 Operation 3 duration 91 mins.
Job 12 Operation 5 duration 1 mins.
Job 11 Operation 6 duration 19 mins.
Job 13 Operation 6 duration 8 mins.
Job 3 Operation 9 duration 34 mins.
Job 8 Operation 10 duration 38 mins.
Job 2 Operation 11 duration 62 mins.
Job 6 Operation 11 duration 61 mins.
Job 7 Operation 11 duration 58 mins.
Job 0 Operation 14 duration 72 mins.
Job 4 Operation 14 duration 94 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 14 mins.
Job 12 Operation 0 duration 22 mins.
Job 0 Operation 2 duration 41 mins.
Job 2 Operation 2 duration 90 mins.
Job 4 Operation 4 duration 25 mins.
Job 7 Operation 4 duration 20 mins.
Job 9 Operation 5 duration 9 mins.
Job 13 Operation 5 duration 43 mins.
Job 1 Operation 6 duration 86 mins.
Job 6 Operation 7 duration 50 mins.
Job 8 Operation 9 duration 26 mins.
Job 10 Operation 9 duration 64 mins.
Job 14 Operation 9 duration 94 mins.
Job 11 Operation 12 duration 74 mins.
Job 5 Operation 13 duration 44 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 1 mins.
Job 7 Operation 3 duration 81 mins.
Job 12 Operation 3 duration 67 mins.
Job 8 Operation 4 duration 30 mins.
Job 14 Operation 6 duration 56 mins.
Job 4 Operation 7 duration 79 mins.
Job 13 Operation 8 duration 46 mins.
Job 0 Operation 10 duration 87 mins.
Job 10 Operation 10 duration 54 mins.
Job 1 Operation 12 duration 84 mins.
Job 5 Operation 12 duration 7 mins.
Job 9 Operation 13 duration 47 mins.
Job 2 Operation 14 duration 38 mins.
Job 3 Operation 14 duration 49 mins.
Job 11 Operation 14 duration 77 mins.
Machine 5 is used for the following Operations:
Job 7 Operation 0 duration 8 mins.
Job 9 Operation 0 duration 59 mins.
Job 13 Operation 3 duration 89 mins.
Job 1 Operation 4 duration 20 mins.
Job 12 Operation 4 duration 21 mins.
Job 5 Operation 6 duration 76 mins.
Job 8 Operation 6 duration 25 mins.
Job 2 Operation 7 duration 27 mins.
Job 3 Operation 7 duration 36 mins.
Job 14 Operation 7 duration 6 mins.
Job 4 Operation 9 duration 88 mins.
Job 6 Operation 10 duration 86 mins.
Job 11 Operation 10 duration 45 mins.
Job 0 Operation 11 duration 30 mins.
Job 10 Operation 13 duration 54 mins.
Machine 6 is used for the following Operations:
Job 5 Operation 0 duration 7 mins.
Job 10 Operation 0 duration 51 mins.
Job 7 Operation 1 duration 4 mins.
Job 11 Operation 1 duration 37 mins.
Job 3 Operation 2 duration 35 mins.
Job 4 Operation 3 duration 62 mins.
Job 14 Operation 4 duration 4 mins.
Job 6 Operation 5 duration 50 mins.
Job 2 Operation 6 duration 61 mins.
Job 0 Operation 7 duration 18 mins.
Job 8 Operation 7 duration 35 mins.
Job 13 Operation 7 duration 67 mins.
Job 1 Operation 9 duration 54 mins.
Job 9 Operation 10 duration 69 mins.
Job 12 Operation 13 duration 11 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 3 duration 28 mins.
Job 9 Operation 3 duration 44 mins.
Job 11 Operation 3 duration 67 mins.
Job 0 Operation 4 duration 58 mins.
Job 3 Operation 4 duration 71 mins.
Job 7 Operation 5 duration 29 mins.
Job 10 Operation 6 duration 13 mins.
Job 12 Operation 6 duration 85 mins.
Job 1 Operation 7 duration 38 mins.
Job 4 Operation 8 duration 62 mins.
Job 8 Operation 8 duration 70 mins.
Job 5 Operation 9 duration 54 mins.
Job 13 Operation 10 duration 33 mins.
Job 14 Operation 10 duration 20 mins.
Job 6 Operation 14 duration 85 mins.
Machine 8 is used for the following Operations:
Job 6 Operation 4 duration 88 mins.
Job 11 Operation 4 duration 26 mins.
Job 13 Operation 4 duration 44 mins.
Job 3 Operation 5 duration 2 mins.
Job 10 Operation 5 duration 41 mins.
Job 0 Operation 6 duration 60 mins.
Job 5 Operation 7 duration 65 mins.
Job 2 Operation 9 duration 16 mins.
Job 9 Operation 9 duration 93 mins.
Job 4 Operation 10 duration 32 mins.
Job 12 Operation 11 duration 11 mins.
Job 14 Operation 12 duration 79 mins.
Job 8 Operation 13 duration 40 mins.
Job 1 Operation 14 duration 35 mins.
Job 7 Operation 14 duration 64 mins.
Machine 9 is used for the following Operations:
Job 0 Operation 0 duration 14 mins.
Job 11 Operation 0 duration 21 mins.
Job 13 Operation 1 duration 73 mins.
Job 5 Operation 2 duration 70 mins.
Job 12 Operation 2 duration 39 mins.
Job 8 Operation 3 duration 53 mins.
Job 2 Operation 5 duration 47 mins.
Job 6 Operation 9 duration 50 mins.
Job 1 Operation 10 duration 87 mins.
Job 14 Operation 11 duration 75 mins.
Job 7 Operation 12 duration 61 mins.
Job 9 Operation 12 duration 68 mins.
Job 10 Operation 12 duration 41 mins.
Job 3 Operation 13 duration 67 mins.
Job 4 Operation 13 duration 3 mins.
Machine 10 is used for the following Operations:
Job 8 Operation 0 duration 46 mins.
Job 14 Operation 0 duration 53 mins.
Job 4 Operation 1 duration 11 mins.
Job 6 Operation 2 duration 72 mins.
Job 13 Operation 2 duration 37 mins.
Job 1 Operation 5 duration 79 mins.
Job 5 Operation 8 duration 5 mins.
Job 10 Operation 8 duration 87 mins.
Job 12 Operation 8 duration 79 mins.
Job 3 Operation 11 duration 47 mins.
Job 9 Operation 11 duration 56 mins.
Job 11 Operation 11 duration 41 mins.
Job 0 Operation 12 duration 55 mins.
Job 2 Operation 13 duration 29 mins.
Job 7 Operation 13 duration 10 mins.
Machine 11 is used for the following Operations:
Job 13 Operation 0 duration 9 mins.
Job 5 Operation 1 duration 14 mins.
Job 10 Operation 1 duration 87 mins.
Job 0 Operation 3 duration 37 mins.
Job 1 Operation 3 duration 12 mins.
Job 6 Operation 3 duration 23 mins.
Job 2 Operation 4 duration 31 mins.
Job 11 Operation 5 duration 25 mins.
Job 3 Operation 6 duration 9 mins.
Job 4 Operation 6 duration 77 mins.
Job 9 Operation 7 duration 45 mins.
Job 7 Operation 9 duration 61 mins.
Job 12 Operation 10 duration 38 mins.
Job 14 Operation 13 duration 1 mins.
Job 8 Operation 14 duration 77 mins.
Machine 12 is used for the following Operations:
Job 1 Operation 1 duration 39 mins.
Job 14 Operation 2 duration 64 mins.
Job 3 Operation 3 duration 32 mins.
Job 9 Operation 4 duration 22 mins.
Job 0 Operation 5 duration 34 mins.
Job 6 Operation 6 duration 80 mins.
Job 10 Operation 7 duration 48 mins.
Job 12 Operation 7 duration 90 mins.
Job 7 Operation 8 duration 56 mins.
Job 11 Operation 8 duration 39 mins.
Job 2 Operation 10 duration 11 mins.
Job 5 Operation 10 duration 52 mins.
Job 4 Operation 12 duration 3 mins.
Job 8 Operation 12 duration 59 mins.
Job 13 Operation 14 duration 15 mins.
Machine 13 is used for the following Operations:
Job 4 Operation 0 duration 59 mins.
Job 8 Operation 1 duration 61 mins.
Job 14 Operation 3 duration 80 mins.
Job 9 Operation 6 duration 51 mins.
Job 7 Operation 7 duration 40 mins.
Job 0 Operation 8 duration 44 mins.
Job 13 Operation 9 duration 33 mins.
Job 3 Operation 10 duration 74 mins.
Job 5 Operation 11 duration 49 mins.
Job 2 Operation 12 duration 79 mins.
Job 6 Operation 12 duration 48 mins.
Job 12 Operation 12 duration 70 mins.
Job 1 Operation 13 duration 53 mins.
Job 11 Operation 13 duration 64 mins.
Job 10 Operation 14 duration 91 mins.
Machine 14 is used for the following Operations:
Job 2 Operation 0 duration 85 mins.
Job 0 Operation 1 duration 12 mins.
Job 4 Operation 2 duration 75 mins.
Job 8 Operation 2 duration 54 mins.
Job 10 Operation 4 duration 38 mins.
Job 5 Operation 5 duration 78 mins.
Job 11 Operation 7 duration 21 mins.
Job 3 Operation 8 duration 16 mins.
Job 6 Operation 8 duration 65 mins.
Job 12 Operation 9 duration 93 mins.
Job 7 Operation 10 duration 88 mins.
Job 1 Operation 11 duration 57 mins.
Job 13 Operation 12 duration 38 mins.
Job 9 Operation 14 duration 91 mins.
Job 14 Operation 14 duration 3 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 2 : 0 + 87 -> 87
Job 3 Operation 0 on Machine 3 : 0 + 14 -> 14
Job 6 Operation 0 on Machine 4 : 0 + 1 -> 1
Job 7 Operation 0 on Machine 5 : 0 + 8 -> 8
Job 5 Operation 0 on Machine 6 : 0 + 7 -> 7
Job 11 Operation 0 on Machine 9 : 0 + 21 -> 21
Job 8 Operation 0 on Machine 10 : 0 + 46 -> 46
Job 4 Operation 0 on Machine 13 : 0 + 59 -> 59
Job 2 Operation 0 on Machine 14 : 0 + 85 -> 85
Job 6 Operation 1 on Machine 1 : 1 + 39 -> 40
Job 10 Operation 0 on Machine 6 : 7 + 51 -> 58
Job 5 Operation 1 on Machine 11 : 7 + 14 -> 21
Job 9 Operation 0 on Machine 5 : 8 + 59 -> 67
Job 12 Operation 0 on Machine 3 : 14 + 22 -> 36
Job 5 Operation 2 on Machine 9 : 21 + 70 -> 91
Job 13 Operation 0 on Machine 11 : 21 + 9 -> 30
Job 12 Operation 1 on Machine 0 : 36 + 9 -> 45
Job 3 Operation 1 on Machine 1 : 40 + 36 -> 76
Job 7 Operation 1 on Machine 6 : 58 + 4 -> 62
Job 10 Operation 1 on Machine 11 : 58 + 87 -> 145
Job 4 Operation 1 on Machine 10 : 59 + 11 -> 70
Job 8 Operation 1 on Machine 13 : 59 + 61 -> 120
Job 11 Operation 1 on Machine 6 : 62 + 37 -> 99
Job 6 Operation 2 on Machine 10 : 70 + 72 -> 142
Job 2 Operation 1 on Machine 1 : 85 + 56 -> 141
Job 1 Operation 1 on Machine 12 : 87 + 39 -> 126
Job 5 Operation 3 on Machine 2 : 91 + 91 -> 182
Job 0 Operation 0 on Machine 9 : 91 + 14 -> 105
Job 11 Operation 2 on Machine 0 : 99 + 8 -> 107
Job 3 Operation 2 on Machine 6 : 99 + 35 -> 134
Job 12 Operation 2 on Machine 9 : 105 + 39 -> 144
Job 0 Operation 1 on Machine 14 : 105 + 12 -> 117
Job 11 Operation 3 on Machine 7 : 107 + 67 -> 174
Job 0 Operation 2 on Machine 3 : 117 + 41 -> 158
Job 4 Operation 2 on Machine 14 : 117 + 75 -> 192
Job 1 Operation 2 on Machine 0 : 126 + 5 -> 131
Job 7 Operation 2 on Machine 0 : 131 + 92 -> 223
Job 3 Operation 3 on Machine 12 : 134 + 32 -> 166
Job 9 Operation 1 on Machine 1 : 141 + 22 -> 163
Job 14 Operation 0 on Machine 10 : 142 + 53 -> 195
Job 12 Operation 3 on Machine 4 : 144 + 67 -> 211
Job 13 Operation 1 on Machine 9 : 144 + 73 -> 217
Job 6 Operation 3 on Machine 11 : 145 + 23 -> 168
Job 2 Operation 2 on Machine 3 : 158 + 90 -> 248
Job 6 Operation 4 on Machine 8 : 168 + 88 -> 256
Job 1 Operation 3 on Machine 11 : 168 + 12 -> 180
Job 3 Operation 4 on Machine 7 : 174 + 71 -> 245
Job 1 Operation 4 on Machine 5 : 180 + 20 -> 200
Job 0 Operation 3 on Machine 11 : 180 + 37 -> 217
Job 10 Operation 2 on Machine 2 : 182 + 29 -> 211
Job 4 Operation 3 on Machine 6 : 192 + 62 -> 254
Job 8 Operation 2 on Machine 14 : 192 + 54 -> 246
Job 1 Operation 5 on Machine 10 : 200 + 79 -> 279
Job 10 Operation 3 on Machine 1 : 211 + 89 -> 300
Job 14 Operation 1 on Machine 2 : 211 + 11 -> 222
Job 12 Operation 4 on Machine 5 : 211 + 21 -> 232
Job 9 Operation 2 on Machine 2 : 222 + 83 -> 305
Job 14 Operation 2 on Machine 12 : 222 + 64 -> 286
Job 7 Operation 3 on Machine 4 : 223 + 81 -> 304
Job 8 Operation 3 on Machine 9 : 246 + 53 -> 299
Job 2 Operation 3 on Machine 7 : 248 + 28 -> 276
Job 4 Operation 4 on Machine 3 : 254 + 25 -> 279
Job 6 Operation 5 on Machine 6 : 256 + 50 -> 306
Job 3 Operation 5 on Machine 8 : 256 + 2 -> 258
Job 11 Operation 4 on Machine 8 : 258 + 26 -> 284
Job 3 Operation 6 on Machine 11 : 258 + 9 -> 267
Job 3 Operation 7 on Machine 5 : 267 + 36 -> 303
Job 0 Operation 4 on Machine 7 : 276 + 58 -> 334
Job 2 Operation 4 on Machine 11 : 276 + 31 -> 307
Job 4 Operation 5 on Machine 0 : 279 + 83 -> 362
Job 1 Operation 6 on Machine 3 : 279 + 86 -> 365
Job 13 Operation 2 on Machine 10 : 279 + 37 -> 316
Job 14 Operation 3 on Machine 13 : 286 + 80 -> 366
Job 5 Operation 4 on Machine 1 : 300 + 46 -> 346
Job 10 Operation 4 on Machine 14 : 300 + 38 -> 338
Job 8 Operation 4 on Machine 4 : 304 + 30 -> 334
Job 12 Operation 5 on Machine 2 : 305 + 1 -> 306
Job 6 Operation 6 on Machine 12 : 306 + 80 -> 386
Job 2 Operation 5 on Machine 9 : 307 + 47 -> 354
Job 13 Operation 3 on Machine 5 : 316 + 89 -> 405
Job 9 Operation 3 on Machine 7 : 334 + 44 -> 378
Job 10 Operation 5 on Machine 8 : 338 + 41 -> 379
Job 3 Operation 8 on Machine 14 : 338 + 16 -> 354
Job 3 Operation 9 on Machine 2 : 354 + 34 -> 388
Job 2 Operation 6 on Machine 6 : 354 + 61 -> 415
Job 5 Operation 5 on Machine 14 : 354 + 78 -> 432
Job 8 Operation 5 on Machine 0 : 362 + 74 -> 436
Job 4 Operation 6 on Machine 11 : 362 + 77 -> 439
Job 7 Operation 4 on Machine 3 : 365 + 20 -> 385
Job 10 Operation 6 on Machine 7 : 379 + 13 -> 392
Job 6 Operation 7 on Machine 3 : 386 + 50 -> 436
Job 3 Operation 10 on Machine 13 : 388 + 74 -> 462
Job 7 Operation 5 on Machine 7 : 392 + 29 -> 421
Job 10 Operation 7 on Machine 12 : 392 + 48 -> 440
Job 13 Operation 4 on Machine 8 : 405 + 44 -> 449
Job 2 Operation 7 on Machine 5 : 415 + 27 -> 442
Job 14 Operation 4 on Machine 6 : 415 + 4 -> 419
Job 7 Operation 6 on Machine 1 : 421 + 58 -> 479
Job 1 Operation 7 on Machine 7 : 421 + 38 -> 459
Job 14 Operation 5 on Machine 0 : 436 + 1 -> 437
Job 6 Operation 8 on Machine 14 : 436 + 65 -> 501
Job 14 Operation 6 on Machine 4 : 437 + 56 -> 493
Job 11 Operation 5 on Machine 11 : 439 + 25 -> 464
Job 10 Operation 8 on Machine 10 : 440 + 87 -> 527
Job 9 Operation 4 on Machine 12 : 440 + 22 -> 462
Job 2 Operation 8 on Machine 0 : 442 + 22 -> 464
Job 8 Operation 6 on Machine 5 : 442 + 25 -> 467
Job 12 Operation 6 on Machine 7 : 459 + 85 -> 544
Job 9 Operation 5 on Machine 3 : 462 + 9 -> 471
Job 0 Operation 5 on Machine 12 : 462 + 34 -> 496
Job 11 Operation 6 on Machine 2 : 464 + 19 -> 483
Job 2 Operation 9 on Machine 8 : 464 + 16 -> 480
Job 5 Operation 6 on Machine 5 : 467 + 76 -> 543
Job 8 Operation 7 on Machine 6 : 467 + 35 -> 502
Job 13 Operation 5 on Machine 3 : 471 + 43 -> 514
Job 9 Operation 6 on Machine 13 : 471 + 51 -> 522
Job 1 Operation 8 on Machine 1 : 479 + 11 -> 490
Job 4 Operation 7 on Machine 4 : 493 + 79 -> 572
Job 0 Operation 6 on Machine 8 : 496 + 60 -> 556
Job 2 Operation 10 on Machine 12 : 496 + 11 -> 507
Job 6 Operation 9 on Machine 9 : 501 + 50 -> 551
Job 11 Operation 7 on Machine 14 : 501 + 21 -> 522
Job 1 Operation 9 on Machine 6 : 502 + 54 -> 556
Job 2 Operation 11 on Machine 2 : 507 + 62 -> 569
Job 9 Operation 7 on Machine 11 : 522 + 45 -> 567
Job 11 Operation 8 on Machine 12 : 522 + 39 -> 561
Job 7 Operation 7 on Machine 13 : 522 + 40 -> 562
Job 10 Operation 9 on Machine 3 : 527 + 64 -> 591
Job 3 Operation 11 on Machine 10 : 527 + 47 -> 574
Job 14 Operation 7 on Machine 5 : 543 + 6 -> 549
Job 14 Operation 8 on Machine 1 : 549 + 18 -> 567
Job 6 Operation 10 on Machine 5 : 551 + 86 -> 637
Job 0 Operation 7 on Machine 6 : 556 + 18 -> 574
Job 5 Operation 7 on Machine 8 : 556 + 65 -> 621
Job 1 Operation 10 on Machine 9 : 556 + 87 -> 643
Job 7 Operation 8 on Machine 12 : 562 + 56 -> 618
Job 9 Operation 8 on Machine 0 : 567 + 42 -> 609
Job 11 Operation 9 on Machine 1 : 567 + 69 -> 636
Job 13 Operation 6 on Machine 2 : 569 + 8 -> 577
Job 2 Operation 12 on Machine 13 : 569 + 79 -> 648
Job 4 Operation 8 on Machine 7 : 572 + 62 -> 634
Job 13 Operation 7 on Machine 6 : 577 + 67 -> 644
Job 14 Operation 9 on Machine 3 : 591 + 94 -> 685
Job 10 Operation 10 on Machine 4 : 591 + 54 -> 645
Job 3 Operation 12 on Machine 0 : 609 + 21 -> 630
Job 7 Operation 9 on Machine 11 : 618 + 61 -> 679
Job 12 Operation 7 on Machine 12 : 618 + 90 -> 708
Job 9 Operation 9 on Machine 8 : 621 + 93 -> 714
Job 5 Operation 8 on Machine 10 : 621 + 5 -> 626
Job 5 Operation 9 on Machine 7 : 634 + 54 -> 688
Job 6 Operation 11 on Machine 2 : 637 + 61 -> 698
Job 11 Operation 10 on Machine 5 : 637 + 45 -> 682
Job 3 Operation 13 on Machine 9 : 643 + 67 -> 710
Job 1 Operation 11 on Machine 14 : 643 + 57 -> 700
Job 10 Operation 11 on Machine 0 : 645 + 81 -> 726
Job 13 Operation 8 on Machine 4 : 645 + 46 -> 691
Job 0 Operation 8 on Machine 13 : 648 + 44 -> 692
Job 4 Operation 9 on Machine 5 : 682 + 88 -> 770
Job 11 Operation 11 on Machine 10 : 682 + 41 -> 723
Job 14 Operation 10 on Machine 7 : 688 + 20 -> 708
Job 0 Operation 9 on Machine 1 : 692 + 6 -> 698
Job 13 Operation 9 on Machine 13 : 692 + 33 -> 725
Job 0 Operation 10 on Machine 4 : 698 + 87 -> 785
Job 7 Operation 10 on Machine 14 : 700 + 88 -> 788
Job 8 Operation 8 on Machine 7 : 708 + 70 -> 778
Job 5 Operation 10 on Machine 12 : 708 + 52 -> 760
Job 9 Operation 10 on Machine 6 : 714 + 69 -> 783
Job 11 Operation 12 on Machine 3 : 723 + 74 -> 797
Job 12 Operation 8 on Machine 10 : 723 + 79 -> 802
Job 6 Operation 12 on Machine 13 : 725 + 48 -> 773
Job 10 Operation 12 on Machine 9 : 726 + 41 -> 767
Job 14 Operation 11 on Machine 9 : 767 + 75 -> 842
Job 10 Operation 13 on Machine 5 : 770 + 54 -> 824
Job 4 Operation 10 on Machine 8 : 770 + 32 -> 802
Job 6 Operation 13 on Machine 0 : 773 + 3 -> 776
Job 5 Operation 11 on Machine 13 : 773 + 49 -> 822
Job 13 Operation 10 on Machine 7 : 778 + 33 -> 811
Job 1 Operation 12 on Machine 4 : 785 + 84 -> 869
Job 8 Operation 9 on Machine 3 : 797 + 26 -> 823
Job 4 Operation 11 on Machine 1 : 802 + 51 -> 853
Job 9 Operation 11 on Machine 10 : 802 + 56 -> 858
Job 12 Operation 9 on Machine 14 : 802 + 93 -> 895
Job 13 Operation 11 on Machine 0 : 811 + 29 -> 840
Job 6 Operation 14 on Machine 7 : 811 + 85 -> 896
Job 11 Operation 13 on Machine 13 : 822 + 64 -> 886
Job 8 Operation 10 on Machine 2 : 823 + 38 -> 861
Job 0 Operation 11 on Machine 5 : 824 + 30 -> 854
Job 14 Operation 12 on Machine 8 : 842 + 79 -> 921
Job 4 Operation 12 on Machine 12 : 853 + 3 -> 856
Job 4 Operation 13 on Machine 9 : 856 + 3 -> 859
Job 0 Operation 12 on Machine 10 : 858 + 55 -> 913
Job 9 Operation 12 on Machine 9 : 859 + 68 -> 927
Job 8 Operation 11 on Machine 1 : 861 + 68 -> 929
Job 7 Operation 11 on Machine 2 : 861 + 58 -> 919
Job 3 Operation 14 on Machine 4 : 869 + 49 -> 918
Job 1 Operation 13 on Machine 13 : 886 + 53 -> 939
Job 12 Operation 10 on Machine 11 : 895 + 38 -> 933
Job 13 Operation 12 on Machine 14 : 895 + 38 -> 933
Job 0 Operation 13 on Machine 0 : 913 + 81 -> 994
Job 2 Operation 13 on Machine 10 : 913 + 29 -> 942
Job 5 Operation 12 on Machine 4 : 918 + 7 -> 925
Job 4 Operation 14 on Machine 2 : 919 + 94 -> 1013
Job 5 Operation 13 on Machine 3 : 925 + 44 -> 969
Job 9 Operation 13 on Machine 4 : 927 + 47 -> 974
Job 7 Operation 12 on Machine 9 : 927 + 61 -> 988
Job 8 Operation 12 on Machine 12 : 929 + 59 -> 988
Job 13 Operation 13 on Machine 1 : 933 + 65 -> 998
Job 12 Operation 11 on Machine 8 : 933 + 11 -> 944
Job 14 Operation 13 on Machine 11 : 933 + 1 -> 934
Job 14 Operation 14 on Machine 14 : 934 + 3 -> 937
Job 1 Operation 14 on Machine 8 : 944 + 35 -> 979
Job 12 Operation 12 on Machine 13 : 944 + 70 -> 1014
Job 11 Operation 14 on Machine 4 : 974 + 77 -> 1051
Job 9 Operation 14 on Machine 14 : 974 + 91 -> 1065
Job 8 Operation 13 on Machine 8 : 988 + 40 -> 1028
Job 7 Operation 13 on Machine 10 : 988 + 10 -> 998
Job 5 Operation 14 on Machine 0 : 994 + 39 -> 1033
Job 13 Operation 14 on Machine 12 : 998 + 15 -> 1013
Job 0 Operation 14 on Machine 2 : 1013 + 72 -> 1085
Job 12 Operation 13 on Machine 6 : 1014 + 11 -> 1025
Job 10 Operation 14 on Machine 13 : 1014 + 91 -> 1105
Job 12 Operation 14 on Machine 1 : 1025 + 61 -> 1086
Job 7 Operation 14 on Machine 8 : 1028 + 64 -> 1092
Job 8 Operation 14 on Machine 11 : 1028 + 77 -> 1105
Job 2 Operation 14 on Machine 4 : 1051 + 38 -> 1089
Makespan: 1105.0, as it is the maximum end completion time of Operation 14
| null |
|
10 | 7 |
Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 334 mins.
Operation 1 on Machine 2 duration 204 mins.
Operation 2 on Machine 5 duration 295 mins.
Operation 3 on Machine 0 duration 333 mins.
Operation 4 on Machine 3 duration 239 mins.
Operation 5 on Machine 4 duration 220 mins.
Operation 6 on Machine 1 duration 302 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 54 mins.
Operation 1 on Machine 2 duration 300 mins.
Operation 2 on Machine 6 duration 98 mins.
Operation 3 on Machine 1 duration 122 mins.
Operation 4 on Machine 3 duration 4 mins.
Operation 5 on Machine 4 duration 165 mins.
Operation 6 on Machine 5 duration 158 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 169 mins.
Operation 1 on Machine 5 duration 16 mins.
Operation 2 on Machine 3 duration 91 mins.
Operation 3 on Machine 6 duration 224 mins.
Operation 4 on Machine 0 duration 117 mins.
Operation 5 on Machine 1 duration 124 mins.
Operation 6 on Machine 4 duration 194 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 165 mins.
Operation 1 on Machine 5 duration 32 mins.
Operation 2 on Machine 1 duration 77 mins.
Operation 3 on Machine 4 duration 4 mins.
Operation 4 on Machine 2 duration 211 mins.
Operation 5 on Machine 6 duration 248 mins.
Operation 6 on Machine 3 duration 93 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 35 mins.
Operation 1 on Machine 1 duration 297 mins.
Operation 2 on Machine 0 duration 198 mins.
Operation 3 on Machine 6 duration 280 mins.
Operation 4 on Machine 4 duration 226 mins.
Operation 5 on Machine 2 duration 202 mins.
Operation 6 on Machine 5 duration 163 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 221 mins.
Operation 1 on Machine 4 duration 106 mins.
Operation 2 on Machine 6 duration 4 mins.
Operation 3 on Machine 3 duration 253 mins.
Operation 4 on Machine 5 duration 172 mins.
Operation 5 on Machine 2 duration 298 mins.
Operation 6 on Machine 0 duration 141 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 253 mins.
Operation 1 on Machine 6 duration 338 mins.
Operation 2 on Machine 1 duration 114 mins.
Operation 3 on Machine 4 duration 5 mins.
Operation 4 on Machine 2 duration 98 mins.
Operation 5 on Machine 5 duration 97 mins.
Operation 6 on Machine 3 duration 280 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 318 mins.
Operation 1 on Machine 0 duration 337 mins.
Operation 2 on Machine 5 duration 79 mins.
Operation 3 on Machine 3 duration 14 mins.
Operation 4 on Machine 4 duration 298 mins.
Operation 5 on Machine 2 duration 310 mins.
Operation 6 on Machine 6 duration 172 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 318 mins.
Operation 1 on Machine 6 duration 225 mins.
Operation 2 on Machine 2 duration 70 mins.
Operation 3 on Machine 1 duration 279 mins.
Operation 4 on Machine 3 duration 132 mins.
Operation 5 on Machine 4 duration 261 mins.
Operation 6 on Machine 0 duration 137 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 84 mins.
Operation 1 on Machine 2 duration 286 mins.
Operation 2 on Machine 6 duration 43 mins.
Operation 3 on Machine 1 duration 190 mins.
Operation 4 on Machine 5 duration 333 mins.
Operation 5 on Machine 0 duration 316 mins.
Operation 6 on Machine 3 duration 312 mins.
| null |
Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 54 mins.
Job 3 Operation 0 duration 165 mins.
Job 6 Operation 0 duration 253 mins.
Job 7 Operation 1 duration 337 mins.
Job 4 Operation 2 duration 198 mins.
Job 0 Operation 3 duration 333 mins.
Job 2 Operation 4 duration 117 mins.
Job 9 Operation 5 duration 316 mins.
Job 5 Operation 6 duration 141 mins.
Job 8 Operation 6 duration 137 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 221 mins.
Job 7 Operation 0 duration 318 mins.
Job 4 Operation 1 duration 297 mins.
Job 3 Operation 2 duration 77 mins.
Job 6 Operation 2 duration 114 mins.
Job 1 Operation 3 duration 122 mins.
Job 8 Operation 3 duration 279 mins.
Job 9 Operation 3 duration 190 mins.
Job 2 Operation 5 duration 124 mins.
Job 0 Operation 6 duration 302 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 169 mins.
Job 0 Operation 1 duration 204 mins.
Job 1 Operation 1 duration 300 mins.
Job 9 Operation 1 duration 286 mins.
Job 8 Operation 2 duration 70 mins.
Job 3 Operation 4 duration 211 mins.
Job 6 Operation 4 duration 98 mins.
Job 4 Operation 5 duration 202 mins.
Job 5 Operation 5 duration 298 mins.
Job 7 Operation 5 duration 310 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 35 mins.
Job 2 Operation 2 duration 91 mins.
Job 5 Operation 3 duration 253 mins.
Job 7 Operation 3 duration 14 mins.
Job 0 Operation 4 duration 239 mins.
Job 1 Operation 4 duration 4 mins.
Job 8 Operation 4 duration 132 mins.
Job 3 Operation 6 duration 93 mins.
Job 6 Operation 6 duration 280 mins.
Job 9 Operation 6 duration 312 mins.
Machine 4 is used for the following Operations:
Job 9 Operation 0 duration 84 mins.
Job 5 Operation 1 duration 106 mins.
Job 3 Operation 3 duration 4 mins.
Job 6 Operation 3 duration 5 mins.
Job 4 Operation 4 duration 226 mins.
Job 7 Operation 4 duration 298 mins.
Job 0 Operation 5 duration 220 mins.
Job 1 Operation 5 duration 165 mins.
Job 8 Operation 5 duration 261 mins.
Job 2 Operation 6 duration 194 mins.
Machine 5 is used for the following Operations:
Job 8 Operation 0 duration 318 mins.
Job 2 Operation 1 duration 16 mins.
Job 3 Operation 1 duration 32 mins.
Job 0 Operation 2 duration 295 mins.
Job 7 Operation 2 duration 79 mins.
Job 5 Operation 4 duration 172 mins.
Job 9 Operation 4 duration 333 mins.
Job 6 Operation 5 duration 97 mins.
Job 1 Operation 6 duration 158 mins.
Job 4 Operation 6 duration 163 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 334 mins.
Job 6 Operation 1 duration 338 mins.
Job 8 Operation 1 duration 225 mins.
Job 1 Operation 2 duration 98 mins.
Job 5 Operation 2 duration 4 mins.
Job 9 Operation 2 duration 43 mins.
Job 2 Operation 3 duration 224 mins.
Job 4 Operation 3 duration 280 mins.
Job 3 Operation 5 duration 248 mins.
Job 7 Operation 6 duration 172 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 54 -> 54
Job 7 Operation 0 on Machine 1 : 0 + 318 -> 318
Job 4 Operation 0 on Machine 3 : 0 + 35 -> 35
Job 9 Operation 0 on Machine 4 : 0 + 84 -> 84
Job 8 Operation 0 on Machine 5 : 0 + 318 -> 318
Job 0 Operation 0 on Machine 6 : 0 + 334 -> 334
Job 6 Operation 0 on Machine 0 : 54 + 253 -> 307
Job 1 Operation 1 on Machine 2 : 54 + 300 -> 354
Job 3 Operation 0 on Machine 0 : 307 + 165 -> 472
Job 5 Operation 0 on Machine 1 : 318 + 221 -> 539
Job 6 Operation 1 on Machine 6 : 334 + 338 -> 672
Job 0 Operation 1 on Machine 2 : 354 + 204 -> 558
Job 7 Operation 1 on Machine 0 : 472 + 337 -> 809
Job 3 Operation 1 on Machine 5 : 472 + 32 -> 504
Job 4 Operation 1 on Machine 1 : 539 + 297 -> 836
Job 5 Operation 1 on Machine 4 : 539 + 106 -> 645
Job 2 Operation 0 on Machine 2 : 558 + 169 -> 727
Job 0 Operation 2 on Machine 5 : 558 + 295 -> 853
Job 5 Operation 2 on Machine 6 : 672 + 4 -> 676
Job 5 Operation 3 on Machine 3 : 676 + 253 -> 929
Job 1 Operation 2 on Machine 6 : 676 + 98 -> 774
Job 9 Operation 1 on Machine 2 : 727 + 286 -> 1013
Job 8 Operation 1 on Machine 6 : 774 + 225 -> 999
Job 6 Operation 2 on Machine 1 : 836 + 114 -> 950
Job 0 Operation 3 on Machine 0 : 853 + 333 -> 1186
Job 7 Operation 2 on Machine 5 : 853 + 79 -> 932
Job 7 Operation 3 on Machine 3 : 932 + 14 -> 946
Job 2 Operation 1 on Machine 5 : 932 + 16 -> 948
Job 2 Operation 2 on Machine 3 : 948 + 91 -> 1039
Job 5 Operation 4 on Machine 5 : 948 + 172 -> 1120
Job 1 Operation 3 on Machine 1 : 950 + 122 -> 1072
Job 6 Operation 3 on Machine 4 : 950 + 5 -> 955
Job 7 Operation 4 on Machine 4 : 955 + 298 -> 1253
Job 6 Operation 4 on Machine 2 : 1013 + 98 -> 1111
Job 9 Operation 2 on Machine 6 : 1013 + 43 -> 1056
Job 2 Operation 3 on Machine 6 : 1056 + 224 -> 1280
Job 9 Operation 3 on Machine 1 : 1072 + 190 -> 1262
Job 1 Operation 4 on Machine 3 : 1072 + 4 -> 1076
Job 8 Operation 2 on Machine 2 : 1111 + 70 -> 1181
Job 6 Operation 5 on Machine 5 : 1120 + 97 -> 1217
Job 5 Operation 5 on Machine 2 : 1181 + 298 -> 1479
Job 4 Operation 2 on Machine 0 : 1186 + 198 -> 1384
Job 0 Operation 4 on Machine 3 : 1186 + 239 -> 1425
Job 1 Operation 5 on Machine 4 : 1253 + 165 -> 1418
Job 8 Operation 3 on Machine 1 : 1262 + 279 -> 1541
Job 9 Operation 4 on Machine 5 : 1262 + 333 -> 1595
Job 2 Operation 4 on Machine 0 : 1384 + 117 -> 1501
Job 4 Operation 3 on Machine 6 : 1384 + 280 -> 1664
Job 0 Operation 5 on Machine 4 : 1425 + 220 -> 1645
Job 7 Operation 5 on Machine 2 : 1479 + 310 -> 1789
Job 3 Operation 2 on Machine 1 : 1541 + 77 -> 1618
Job 8 Operation 4 on Machine 3 : 1541 + 132 -> 1673
Job 9 Operation 5 on Machine 0 : 1595 + 316 -> 1911
Job 1 Operation 6 on Machine 5 : 1595 + 158 -> 1753
Job 0 Operation 6 on Machine 1 : 1645 + 302 -> 1947
Job 3 Operation 3 on Machine 4 : 1645 + 4 -> 1649
Job 4 Operation 4 on Machine 4 : 1664 + 226 -> 1890
Job 6 Operation 6 on Machine 3 : 1673 + 280 -> 1953
Job 3 Operation 4 on Machine 2 : 1789 + 211 -> 2000
Job 7 Operation 6 on Machine 6 : 1789 + 172 -> 1961
Job 8 Operation 5 on Machine 4 : 1890 + 261 -> 2151
Job 5 Operation 6 on Machine 0 : 1911 + 141 -> 2052
Job 2 Operation 5 on Machine 1 : 1947 + 124 -> 2071
Job 9 Operation 6 on Machine 3 : 1953 + 312 -> 2265
Job 4 Operation 5 on Machine 2 : 2000 + 202 -> 2202
Job 3 Operation 5 on Machine 6 : 2000 + 248 -> 2248
Job 8 Operation 6 on Machine 0 : 2151 + 137 -> 2288
Job 2 Operation 6 on Machine 4 : 2151 + 194 -> 2345
Job 4 Operation 6 on Machine 5 : 2202 + 163 -> 2365
Job 3 Operation 6 on Machine 3 : 2265 + 93 -> 2358
Makespan: 2365.0, as it is the maximum end completion time of Operation 6
| 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 0 duration 317 mins.
Operation 1 on Machine 1 duration 111 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 10 mins.
Operation 1 on Machine 1 duration 93 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 318 mins.
Operation 1 on Machine 0 duration 301 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 32 mins.
Operation 1 on Machine 0 duration 201 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 91 mins.
Operation 1 on Machine 1 duration 305 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 294 mins.
Operation 1 on Machine 0 duration 296 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 51 mins.
Operation 1 on Machine 1 duration 293 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 146 mins.
Operation 1 on Machine 0 duration 125 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 0 Operation 0 duration 317 mins.
Job 1 Operation 0 duration 10 mins.
Job 4 Operation 0 duration 91 mins.
Job 6 Operation 0 duration 51 mins.
Job 2 Operation 1 duration 301 mins.
Job 3 Operation 1 duration 201 mins.
Job 5 Operation 1 duration 296 mins.
Job 7 Operation 1 duration 125 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 318 mins.
Job 3 Operation 0 duration 32 mins.
Job 5 Operation 0 duration 294 mins.
Job 7 Operation 0 duration 146 mins.
Job 0 Operation 1 duration 111 mins.
Job 1 Operation 1 duration 93 mins.
Job 4 Operation 1 duration 305 mins.
Job 6 Operation 1 duration 293 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 10 -> 10
Job 2 Operation 0 on Machine 1 : 0 + 318 -> 318
Job 6 Operation 0 on Machine 0 : 10 + 51 -> 61
Job 4 Operation 0 on Machine 0 : 61 + 91 -> 152
Job 2 Operation 1 on Machine 0 : 318 + 301 -> 619
Job 5 Operation 0 on Machine 1 : 318 + 294 -> 612
Job 1 Operation 1 on Machine 1 : 612 + 93 -> 705
Job 5 Operation 1 on Machine 0 : 619 + 296 -> 915
Job 7 Operation 0 on Machine 1 : 705 + 146 -> 851
Job 4 Operation 1 on Machine 1 : 851 + 305 -> 1156
Job 7 Operation 1 on Machine 0 : 915 + 125 -> 1040
Job 0 Operation 0 on Machine 0 : 1040 + 317 -> 1357
Job 3 Operation 0 on Machine 1 : 1156 + 32 -> 1188
Job 6 Operation 1 on Machine 1 : 1188 + 293 -> 1481
Job 3 Operation 1 on Machine 0 : 1357 + 201 -> 1558
Job 0 Operation 1 on Machine 1 : 1481 + 111 -> 1592
Makespan: 1592.0, 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 3 duration 239 mins.
Operation 1 on Machine 0 duration 47 mins.
Operation 2 on Machine 1 duration 15 mins.
Operation 3 on Machine 2 duration 348 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 174 mins.
Operation 1 on Machine 3 duration 177 mins.
Operation 2 on Machine 2 duration 281 mins.
Operation 3 on Machine 1 duration 267 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 154 mins.
Operation 1 on Machine 1 duration 311 mins.
Operation 2 on Machine 2 duration 212 mins.
Operation 3 on Machine 3 duration 38 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 313 mins.
Operation 1 on Machine 0 duration 306 mins.
Operation 2 on Machine 3 duration 342 mins.
Operation 3 on Machine 1 duration 294 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 167 mins.
Operation 1 on Machine 3 duration 340 mins.
Operation 2 on Machine 2 duration 264 mins.
Operation 3 on Machine 0 duration 352 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 1 Operation 0 duration 174 mins.
Job 2 Operation 0 duration 154 mins.
Job 0 Operation 1 duration 47 mins.
Job 3 Operation 1 duration 306 mins.
Job 4 Operation 3 duration 352 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 167 mins.
Job 2 Operation 1 duration 311 mins.
Job 0 Operation 2 duration 15 mins.
Job 1 Operation 3 duration 267 mins.
Job 3 Operation 3 duration 294 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 0 duration 313 mins.
Job 1 Operation 2 duration 281 mins.
Job 2 Operation 2 duration 212 mins.
Job 4 Operation 2 duration 264 mins.
Job 0 Operation 3 duration 348 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 239 mins.
Job 1 Operation 1 duration 177 mins.
Job 4 Operation 1 duration 340 mins.
Job 3 Operation 2 duration 342 mins.
Job 2 Operation 3 duration 38 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 174 -> 174
Job 4 Operation 0 on Machine 1 : 0 + 167 -> 167
Job 3 Operation 0 on Machine 2 : 0 + 313 -> 313
Job 0 Operation 0 on Machine 3 : 0 + 239 -> 239
Job 2 Operation 0 on Machine 0 : 174 + 154 -> 328
Job 1 Operation 1 on Machine 3 : 239 + 177 -> 416
Job 0 Operation 1 on Machine 0 : 328 + 47 -> 375
Job 2 Operation 1 on Machine 1 : 328 + 311 -> 639
Job 3 Operation 1 on Machine 0 : 375 + 306 -> 681
Job 1 Operation 2 on Machine 2 : 416 + 281 -> 697
Job 4 Operation 1 on Machine 3 : 416 + 340 -> 756
Job 0 Operation 2 on Machine 1 : 639 + 15 -> 654
Job 1 Operation 3 on Machine 1 : 697 + 267 -> 964
Job 2 Operation 2 on Machine 2 : 697 + 212 -> 909
Job 3 Operation 2 on Machine 3 : 756 + 342 -> 1098
Job 4 Operation 2 on Machine 2 : 909 + 264 -> 1173
Job 3 Operation 3 on Machine 1 : 1098 + 294 -> 1392
Job 2 Operation 3 on Machine 3 : 1098 + 38 -> 1136
Job 4 Operation 3 on Machine 0 : 1173 + 352 -> 1525
Job 0 Operation 3 on Machine 2 : 1173 + 348 -> 1521
Makespan: 1525.0, as it is the maximum end completion time of Operation 3
| null |
|
10 | 10 |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 5 mins.
Operation 1 on Machine 9 duration 76 mins.
Operation 2 on Machine 3 duration 163 mins.
Operation 3 on Machine 1 duration 44 mins.
Operation 4 on Machine 8 duration 208 mins.
Operation 5 on Machine 7 duration 76 mins.
Operation 6 on Machine 6 duration 141 mins.
Operation 7 on Machine 2 duration 197 mins.
Operation 8 on Machine 5 duration 180 mins.
Operation 9 on Machine 4 duration 174 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 55 mins.
Operation 1 on Machine 0 duration 159 mins.
Operation 2 on Machine 5 duration 210 mins.
Operation 3 on Machine 8 duration 171 mins.
Operation 4 on Machine 4 duration 93 mins.
Operation 5 on Machine 6 duration 28 mins.
Operation 6 on Machine 2 duration 175 mins.
Operation 7 on Machine 9 duration 176 mins.
Operation 8 on Machine 3 duration 77 mins.
Operation 9 on Machine 1 duration 213 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 142 mins.
Operation 1 on Machine 3 duration 11 mins.
Operation 2 on Machine 6 duration 20 mins.
Operation 3 on Machine 9 duration 74 mins.
Operation 4 on Machine 5 duration 35 mins.
Operation 5 on Machine 0 duration 84 mins.
Operation 6 on Machine 7 duration 170 mins.
Operation 7 on Machine 8 duration 46 mins.
Operation 8 on Machine 1 duration 29 mins.
Operation 9 on Machine 2 duration 77 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 8 duration 176 mins.
Operation 1 on Machine 2 duration 118 mins.
Operation 2 on Machine 6 duration 170 mins.
Operation 3 on Machine 0 duration 32 mins.
Operation 4 on Machine 1 duration 79 mins.
Operation 5 on Machine 3 duration 146 mins.
Operation 6 on Machine 4 duration 25 mins.
Operation 7 on Machine 9 duration 88 mins.
Operation 8 on Machine 7 duration 195 mins.
Operation 9 on Machine 5 duration 202 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 5 mins.
Operation 1 on Machine 6 duration 191 mins.
Operation 2 on Machine 8 duration 133 mins.
Operation 3 on Machine 9 duration 73 mins.
Operation 4 on Machine 2 duration 58 mins.
Operation 5 on Machine 1 duration 205 mins.
Operation 6 on Machine 5 duration 12 mins.
Operation 7 on Machine 0 duration 74 mins.
Operation 8 on Machine 4 duration 75 mins.
Operation 9 on Machine 3 duration 158 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 82 mins.
Operation 1 on Machine 4 duration 7 mins.
Operation 2 on Machine 8 duration 19 mins.
Operation 3 on Machine 7 duration 27 mins.
Operation 4 on Machine 9 duration 131 mins.
Operation 5 on Machine 5 duration 116 mins.
Operation 6 on Machine 3 duration 201 mins.
Operation 7 on Machine 6 duration 193 mins.
Operation 8 on Machine 2 duration 111 mins.
Operation 9 on Machine 0 duration 126 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 31 mins.
Operation 1 on Machine 7 duration 113 mins.
Operation 2 on Machine 2 duration 191 mins.
Operation 3 on Machine 6 duration 135 mins.
Operation 4 on Machine 3 duration 116 mins.
Operation 5 on Machine 8 duration 157 mins.
Operation 6 on Machine 1 duration 179 mins.
Operation 7 on Machine 5 duration 101 mins.
Operation 8 on Machine 0 duration 197 mins.
Operation 9 on Machine 9 duration 127 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 9 duration 204 mins.
Operation 1 on Machine 3 duration 184 mins.
Operation 2 on Machine 5 duration 29 mins.
Operation 3 on Machine 7 duration 49 mins.
Operation 4 on Machine 6 duration 113 mins.
Operation 5 on Machine 1 duration 126 mins.
Operation 6 on Machine 4 duration 194 mins.
Operation 7 on Machine 8 duration 39 mins.
Operation 8 on Machine 0 duration 200 mins.
Operation 9 on Machine 2 duration 149 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 170 mins.
Operation 1 on Machine 7 duration 87 mins.
Operation 2 on Machine 6 duration 48 mins.
Operation 3 on Machine 8 duration 102 mins.
Operation 4 on Machine 5 duration 78 mins.
Operation 5 on Machine 3 duration 7 mins.
Operation 6 on Machine 4 duration 168 mins.
Operation 7 on Machine 2 duration 41 mins.
Operation 8 on Machine 0 duration 104 mins.
Operation 9 on Machine 9 duration 105 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 6 duration 188 mins.
Operation 1 on Machine 1 duration 73 mins.
Operation 2 on Machine 3 duration 43 mins.
Operation 3 on Machine 7 duration 211 mins.
Operation 4 on Machine 8 duration 67 mins.
Operation 5 on Machine 9 duration 30 mins.
Operation 6 on Machine 0 duration 23 mins.
Operation 7 on Machine 2 duration 175 mins.
Operation 8 on Machine 5 duration 49 mins.
Operation 9 on Machine 4 duration 212 mins.
| null |
Optimize schedule for 10 Jobs across 10 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 5 mins.
Job 1 Operation 1 duration 159 mins.
Job 3 Operation 3 duration 32 mins.
Job 2 Operation 5 duration 84 mins.
Job 9 Operation 6 duration 23 mins.
Job 4 Operation 7 duration 74 mins.
Job 6 Operation 8 duration 197 mins.
Job 7 Operation 8 duration 200 mins.
Job 8 Operation 8 duration 104 mins.
Job 5 Operation 9 duration 126 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 82 mins.
Job 8 Operation 0 duration 170 mins.
Job 9 Operation 1 duration 73 mins.
Job 0 Operation 3 duration 44 mins.
Job 3 Operation 4 duration 79 mins.
Job 4 Operation 5 duration 205 mins.
Job 7 Operation 5 duration 126 mins.
Job 6 Operation 6 duration 179 mins.
Job 2 Operation 8 duration 29 mins.
Job 1 Operation 9 duration 213 mins.
Machine 2 is used for the following Operations:
Job 3 Operation 1 duration 118 mins.
Job 6 Operation 2 duration 191 mins.
Job 4 Operation 4 duration 58 mins.
Job 1 Operation 6 duration 175 mins.
Job 0 Operation 7 duration 197 mins.
Job 8 Operation 7 duration 41 mins.
Job 9 Operation 7 duration 175 mins.
Job 5 Operation 8 duration 111 mins.
Job 2 Operation 9 duration 77 mins.
Job 7 Operation 9 duration 149 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 11 mins.
Job 7 Operation 1 duration 184 mins.
Job 0 Operation 2 duration 163 mins.
Job 9 Operation 2 duration 43 mins.
Job 6 Operation 4 duration 116 mins.
Job 3 Operation 5 duration 146 mins.
Job 8 Operation 5 duration 7 mins.
Job 5 Operation 6 duration 201 mins.
Job 1 Operation 8 duration 77 mins.
Job 4 Operation 9 duration 158 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 142 mins.
Job 6 Operation 0 duration 31 mins.
Job 5 Operation 1 duration 7 mins.
Job 1 Operation 4 duration 93 mins.
Job 3 Operation 6 duration 25 mins.
Job 7 Operation 6 duration 194 mins.
Job 8 Operation 6 duration 168 mins.
Job 4 Operation 8 duration 75 mins.
Job 0 Operation 9 duration 174 mins.
Job 9 Operation 9 duration 212 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 2 duration 210 mins.
Job 7 Operation 2 duration 29 mins.
Job 2 Operation 4 duration 35 mins.
Job 8 Operation 4 duration 78 mins.
Job 5 Operation 5 duration 116 mins.
Job 4 Operation 6 duration 12 mins.
Job 6 Operation 7 duration 101 mins.
Job 0 Operation 8 duration 180 mins.
Job 9 Operation 8 duration 49 mins.
Job 3 Operation 9 duration 202 mins.
Machine 6 is used for the following Operations:
Job 9 Operation 0 duration 188 mins.
Job 4 Operation 1 duration 191 mins.
Job 2 Operation 2 duration 20 mins.
Job 3 Operation 2 duration 170 mins.
Job 8 Operation 2 duration 48 mins.
Job 6 Operation 3 duration 135 mins.
Job 7 Operation 4 duration 113 mins.
Job 1 Operation 5 duration 28 mins.
Job 0 Operation 6 duration 141 mins.
Job 5 Operation 7 duration 193 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 55 mins.
Job 4 Operation 0 duration 5 mins.
Job 6 Operation 1 duration 113 mins.
Job 8 Operation 1 duration 87 mins.
Job 5 Operation 3 duration 27 mins.
Job 7 Operation 3 duration 49 mins.
Job 9 Operation 3 duration 211 mins.
Job 0 Operation 5 duration 76 mins.
Job 2 Operation 6 duration 170 mins.
Job 3 Operation 8 duration 195 mins.
Machine 8 is used for the following Operations:
Job 3 Operation 0 duration 176 mins.
Job 4 Operation 2 duration 133 mins.
Job 5 Operation 2 duration 19 mins.
Job 1 Operation 3 duration 171 mins.
Job 8 Operation 3 duration 102 mins.
Job 0 Operation 4 duration 208 mins.
Job 9 Operation 4 duration 67 mins.
Job 6 Operation 5 duration 157 mins.
Job 2 Operation 7 duration 46 mins.
Job 7 Operation 7 duration 39 mins.
Machine 9 is used for the following Operations:
Job 7 Operation 0 duration 204 mins.
Job 0 Operation 1 duration 76 mins.
Job 2 Operation 3 duration 74 mins.
Job 4 Operation 3 duration 73 mins.
Job 5 Operation 4 duration 131 mins.
Job 9 Operation 5 duration 30 mins.
Job 1 Operation 7 duration 176 mins.
Job 3 Operation 7 duration 88 mins.
Job 6 Operation 9 duration 127 mins.
Job 8 Operation 9 duration 105 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 5 -> 5
Job 8 Operation 0 on Machine 1 : 0 + 170 -> 170
Job 6 Operation 0 on Machine 4 : 0 + 31 -> 31
Job 4 Operation 0 on Machine 7 : 0 + 5 -> 5
Job 3 Operation 0 on Machine 8 : 0 + 176 -> 176
Job 4 Operation 1 on Machine 6 : 5 + 191 -> 196
Job 1 Operation 0 on Machine 7 : 5 + 55 -> 60
Job 0 Operation 1 on Machine 9 : 5 + 76 -> 81
Job 2 Operation 0 on Machine 4 : 31 + 142 -> 173
Job 1 Operation 1 on Machine 0 : 60 + 159 -> 219
Job 6 Operation 1 on Machine 7 : 60 + 113 -> 173
Job 7 Operation 0 on Machine 9 : 81 + 204 -> 285
Job 5 Operation 0 on Machine 1 : 170 + 82 -> 252
Job 2 Operation 1 on Machine 3 : 173 + 11 -> 184
Job 8 Operation 1 on Machine 7 : 173 + 87 -> 260
Job 3 Operation 1 on Machine 2 : 176 + 118 -> 294
Job 0 Operation 2 on Machine 3 : 184 + 163 -> 347
Job 2 Operation 2 on Machine 6 : 196 + 20 -> 216
Job 4 Operation 2 on Machine 8 : 196 + 133 -> 329
Job 1 Operation 2 on Machine 5 : 219 + 210 -> 429
Job 5 Operation 1 on Machine 4 : 252 + 7 -> 259
Job 8 Operation 2 on Machine 6 : 260 + 48 -> 308
Job 6 Operation 2 on Machine 2 : 294 + 191 -> 485
Job 9 Operation 0 on Machine 6 : 308 + 188 -> 496
Job 8 Operation 3 on Machine 8 : 329 + 102 -> 431
Job 4 Operation 3 on Machine 9 : 329 + 73 -> 402
Job 0 Operation 3 on Machine 1 : 347 + 44 -> 391
Job 7 Operation 1 on Machine 3 : 347 + 184 -> 531
Job 8 Operation 4 on Machine 5 : 431 + 78 -> 509
Job 5 Operation 2 on Machine 8 : 431 + 19 -> 450
Job 5 Operation 3 on Machine 7 : 450 + 27 -> 477
Job 1 Operation 3 on Machine 8 : 450 + 171 -> 621
Job 5 Operation 4 on Machine 9 : 477 + 131 -> 608
Job 4 Operation 4 on Machine 2 : 485 + 58 -> 543
Job 9 Operation 1 on Machine 1 : 496 + 73 -> 569
Job 6 Operation 3 on Machine 6 : 496 + 135 -> 631
Job 8 Operation 5 on Machine 3 : 531 + 7 -> 538
Job 7 Operation 2 on Machine 5 : 531 + 29 -> 560
Job 7 Operation 3 on Machine 7 : 560 + 49 -> 609
Job 4 Operation 5 on Machine 1 : 569 + 205 -> 774
Job 9 Operation 2 on Machine 3 : 569 + 43 -> 612
Job 5 Operation 5 on Machine 5 : 608 + 116 -> 724
Job 2 Operation 3 on Machine 9 : 608 + 74 -> 682
Job 9 Operation 3 on Machine 7 : 612 + 211 -> 823
Job 1 Operation 4 on Machine 4 : 621 + 93 -> 714
Job 0 Operation 4 on Machine 8 : 621 + 208 -> 829
Job 6 Operation 4 on Machine 3 : 631 + 116 -> 747
Job 7 Operation 4 on Machine 6 : 631 + 113 -> 744
Job 8 Operation 6 on Machine 4 : 714 + 168 -> 882
Job 2 Operation 4 on Machine 5 : 724 + 35 -> 759
Job 1 Operation 5 on Machine 6 : 744 + 28 -> 772
Job 5 Operation 6 on Machine 3 : 747 + 201 -> 948
Job 2 Operation 5 on Machine 0 : 759 + 84 -> 843
Job 1 Operation 6 on Machine 2 : 772 + 175 -> 947
Job 3 Operation 2 on Machine 6 : 772 + 170 -> 942
Job 7 Operation 5 on Machine 1 : 774 + 126 -> 900
Job 4 Operation 6 on Machine 5 : 774 + 12 -> 786
Job 0 Operation 5 on Machine 7 : 829 + 76 -> 905
Job 9 Operation 4 on Machine 8 : 829 + 67 -> 896
Job 6 Operation 5 on Machine 8 : 896 + 157 -> 1053
Job 9 Operation 5 on Machine 9 : 896 + 30 -> 926
Job 7 Operation 6 on Machine 4 : 900 + 194 -> 1094
Job 2 Operation 6 on Machine 7 : 905 + 170 -> 1075
Job 9 Operation 6 on Machine 0 : 926 + 23 -> 949
Job 0 Operation 6 on Machine 6 : 942 + 141 -> 1083
Job 8 Operation 7 on Machine 2 : 947 + 41 -> 988
Job 1 Operation 7 on Machine 9 : 947 + 176 -> 1123
Job 3 Operation 3 on Machine 0 : 949 + 32 -> 981
Job 4 Operation 7 on Machine 0 : 981 + 74 -> 1055
Job 3 Operation 4 on Machine 1 : 981 + 79 -> 1060
Job 9 Operation 7 on Machine 2 : 988 + 175 -> 1163
Job 8 Operation 8 on Machine 0 : 1055 + 104 -> 1159
Job 6 Operation 6 on Machine 1 : 1060 + 179 -> 1239
Job 3 Operation 5 on Machine 3 : 1060 + 146 -> 1206
Job 2 Operation 7 on Machine 8 : 1075 + 46 -> 1121
Job 5 Operation 7 on Machine 6 : 1083 + 193 -> 1276
Job 4 Operation 8 on Machine 4 : 1094 + 75 -> 1169
Job 7 Operation 7 on Machine 8 : 1121 + 39 -> 1160
Job 7 Operation 8 on Machine 0 : 1160 + 200 -> 1360
Job 0 Operation 7 on Machine 2 : 1163 + 197 -> 1360
Job 9 Operation 8 on Machine 5 : 1163 + 49 -> 1212
Job 4 Operation 9 on Machine 3 : 1206 + 158 -> 1364
Job 3 Operation 6 on Machine 4 : 1206 + 25 -> 1231
Job 9 Operation 9 on Machine 4 : 1231 + 212 -> 1443
Job 3 Operation 7 on Machine 9 : 1231 + 88 -> 1319
Job 2 Operation 8 on Machine 1 : 1239 + 29 -> 1268
Job 6 Operation 7 on Machine 5 : 1239 + 101 -> 1340
Job 3 Operation 8 on Machine 7 : 1319 + 195 -> 1514
Job 8 Operation 9 on Machine 9 : 1319 + 105 -> 1424
Job 6 Operation 8 on Machine 0 : 1360 + 197 -> 1557
Job 2 Operation 9 on Machine 2 : 1360 + 77 -> 1437
Job 0 Operation 8 on Machine 5 : 1360 + 180 -> 1540
Job 1 Operation 8 on Machine 3 : 1364 + 77 -> 1441
Job 5 Operation 8 on Machine 2 : 1437 + 111 -> 1548
Job 1 Operation 9 on Machine 1 : 1441 + 213 -> 1654
Job 0 Operation 9 on Machine 4 : 1540 + 174 -> 1714
Job 3 Operation 9 on Machine 5 : 1540 + 202 -> 1742
Job 7 Operation 9 on Machine 2 : 1548 + 149 -> 1697
Job 5 Operation 9 on Machine 0 : 1557 + 126 -> 1683
Job 6 Operation 9 on Machine 9 : 1557 + 127 -> 1684
Makespan: 1742.0, as it is the maximum end completion time of Operation 9
| null |
|
7 | 4 |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 29 mins.
Operation 1 on Machine 3 duration 17 mins.
Operation 2 on Machine 2 duration 18 mins.
Operation 3 on Machine 0 duration 17 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 13 mins.
Operation 1 on Machine 2 duration 30 mins.
Operation 2 on Machine 3 duration 7 mins.
Operation 3 on Machine 0 duration 20 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 30 mins.
Operation 1 on Machine 0 duration 25 mins.
Operation 2 on Machine 3 duration 29 mins.
Operation 3 on Machine 2 duration 6 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 31 mins.
Operation 1 on Machine 2 duration 20 mins.
Operation 2 on Machine 3 duration 11 mins.
Operation 3 on Machine 1 duration 31 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 27 mins.
Operation 1 on Machine 2 duration 37 mins.
Operation 2 on Machine 0 duration 18 mins.
Operation 3 on Machine 1 duration 19 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 34 mins.
Operation 1 on Machine 0 duration 37 mins.
Operation 2 on Machine 3 duration 4 mins.
Operation 3 on Machine 2 duration 28 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 23 mins.
Operation 1 on Machine 0 duration 36 mins.
Operation 2 on Machine 3 duration 34 mins.
Operation 3 on Machine 1 duration 4 mins.
| null |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 31 mins.
Job 2 Operation 1 duration 25 mins.
Job 5 Operation 1 duration 37 mins.
Job 6 Operation 1 duration 36 mins.
Job 4 Operation 2 duration 18 mins.
Job 0 Operation 3 duration 17 mins.
Job 1 Operation 3 duration 20 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 29 mins.
Job 1 Operation 0 duration 13 mins.
Job 2 Operation 0 duration 30 mins.
Job 5 Operation 0 duration 34 mins.
Job 3 Operation 3 duration 31 mins.
Job 4 Operation 3 duration 19 mins.
Job 6 Operation 3 duration 4 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 0 duration 23 mins.
Job 1 Operation 1 duration 30 mins.
Job 3 Operation 1 duration 20 mins.
Job 4 Operation 1 duration 37 mins.
Job 0 Operation 2 duration 18 mins.
Job 2 Operation 3 duration 6 mins.
Job 5 Operation 3 duration 28 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 27 mins.
Job 0 Operation 1 duration 17 mins.
Job 1 Operation 2 duration 7 mins.
Job 2 Operation 2 duration 29 mins.
Job 3 Operation 2 duration 11 mins.
Job 5 Operation 2 duration 4 mins.
Job 6 Operation 2 duration 34 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 31 -> 31
Job 1 Operation 0 on Machine 1 : 0 + 13 -> 13
Job 6 Operation 0 on Machine 2 : 0 + 23 -> 23
Job 4 Operation 0 on Machine 3 : 0 + 27 -> 27
Job 2 Operation 0 on Machine 1 : 13 + 30 -> 43
Job 6 Operation 1 on Machine 0 : 31 + 36 -> 67
Job 3 Operation 1 on Machine 2 : 31 + 20 -> 51
Job 5 Operation 0 on Machine 1 : 43 + 34 -> 77
Job 1 Operation 1 on Machine 2 : 51 + 30 -> 81
Job 3 Operation 2 on Machine 3 : 51 + 11 -> 62
Job 2 Operation 1 on Machine 0 : 67 + 25 -> 92
Job 0 Operation 0 on Machine 1 : 77 + 29 -> 106
Job 4 Operation 1 on Machine 2 : 81 + 37 -> 118
Job 1 Operation 2 on Machine 3 : 81 + 7 -> 88
Job 5 Operation 1 on Machine 0 : 92 + 37 -> 129
Job 2 Operation 2 on Machine 3 : 92 + 29 -> 121
Job 3 Operation 3 on Machine 1 : 106 + 31 -> 137
Job 2 Operation 3 on Machine 2 : 121 + 6 -> 127
Job 0 Operation 1 on Machine 3 : 121 + 17 -> 138
Job 4 Operation 2 on Machine 0 : 129 + 18 -> 147
Job 0 Operation 2 on Machine 2 : 138 + 18 -> 156
Job 5 Operation 2 on Machine 3 : 138 + 4 -> 142
Job 6 Operation 2 on Machine 3 : 142 + 34 -> 176
Job 1 Operation 3 on Machine 0 : 147 + 20 -> 167
Job 4 Operation 3 on Machine 1 : 147 + 19 -> 166
Job 5 Operation 3 on Machine 2 : 156 + 28 -> 184
Job 0 Operation 3 on Machine 0 : 167 + 17 -> 184
Job 6 Operation 3 on Machine 1 : 176 + 4 -> 180
Makespan: 184.0, as it is the maximum end completion time of Operation 3
| 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 16 mins.
Operation 1 on Machine 1 duration 6 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 24 mins.
Operation 1 on Machine 1 duration 26 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 26 mins.
Operation 1 on Machine 0 duration 13 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 16 mins.
Job 1 Operation 0 duration 24 mins.
Job 2 Operation 1 duration 13 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 26 mins.
Job 0 Operation 1 duration 6 mins.
Job 1 Operation 1 duration 26 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 24 -> 24
Job 2 Operation 0 on Machine 1 : 0 + 26 -> 26
Job 0 Operation 0 on Machine 0 : 24 + 16 -> 40
Job 1 Operation 1 on Machine 1 : 26 + 26 -> 52
Job 2 Operation 1 on Machine 0 : 40 + 13 -> 53
Job 0 Operation 1 on Machine 1 : 52 + 6 -> 58
Makespan: 58.0, as it is the maximum end completion time of Operation 1
| null |
|
8 | 5 |
Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 73 mins.
Operation 1 on Machine 3 duration 86 mins.
Operation 2 on Machine 2 duration 18 mins.
Operation 3 on Machine 1 duration 8 mins.
Operation 4 on Machine 4 duration 19 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 70 mins.
Operation 1 on Machine 0 duration 15 mins.
Operation 2 on Machine 4 duration 76 mins.
Operation 3 on Machine 2 duration 32 mins.
Operation 4 on Machine 1 duration 17 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 17 mins.
Operation 1 on Machine 3 duration 77 mins.
Operation 2 on Machine 2 duration 50 mins.
Operation 3 on Machine 1 duration 8 mins.
Operation 4 on Machine 0 duration 33 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 42 mins.
Operation 1 on Machine 1 duration 4 mins.
Operation 2 on Machine 2 duration 13 mins.
Operation 3 on Machine 4 duration 57 mins.
Operation 4 on Machine 3 duration 60 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 4 duration 78 mins.
Operation 2 on Machine 0 duration 48 mins.
Operation 3 on Machine 3 duration 33 mins.
Operation 4 on Machine 1 duration 60 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 73 mins.
Operation 1 on Machine 2 duration 21 mins.
Operation 2 on Machine 3 duration 28 mins.
Operation 3 on Machine 4 duration 4 mins.
Operation 4 on Machine 1 duration 54 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 12 mins.
Operation 1 on Machine 1 duration 27 mins.
Operation 2 on Machine 4 duration 13 mins.
Operation 3 on Machine 3 duration 36 mins.
Operation 4 on Machine 2 duration 19 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 58 mins.
Operation 1 on Machine 3 duration 74 mins.
Operation 2 on Machine 4 duration 11 mins.
Operation 3 on Machine 0 duration 84 mins.
Operation 4 on Machine 2 duration 76 mins.
| null |
Optimize schedule for 8 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 73 mins.
Job 3 Operation 0 duration 42 mins.
Job 5 Operation 0 duration 73 mins.
Job 6 Operation 0 duration 12 mins.
Job 1 Operation 1 duration 15 mins.
Job 4 Operation 2 duration 48 mins.
Job 7 Operation 3 duration 84 mins.
Job 2 Operation 4 duration 33 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 0 duration 58 mins.
Job 3 Operation 1 duration 4 mins.
Job 6 Operation 1 duration 27 mins.
Job 0 Operation 3 duration 8 mins.
Job 2 Operation 3 duration 8 mins.
Job 1 Operation 4 duration 17 mins.
Job 4 Operation 4 duration 60 mins.
Job 5 Operation 4 duration 54 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 4 mins.
Job 5 Operation 1 duration 21 mins.
Job 0 Operation 2 duration 18 mins.
Job 2 Operation 2 duration 50 mins.
Job 3 Operation 2 duration 13 mins.
Job 1 Operation 3 duration 32 mins.
Job 6 Operation 4 duration 19 mins.
Job 7 Operation 4 duration 76 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 70 mins.
Job 0 Operation 1 duration 86 mins.
Job 2 Operation 1 duration 77 mins.
Job 7 Operation 1 duration 74 mins.
Job 5 Operation 2 duration 28 mins.
Job 4 Operation 3 duration 33 mins.
Job 6 Operation 3 duration 36 mins.
Job 3 Operation 4 duration 60 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 17 mins.
Job 4 Operation 1 duration 78 mins.
Job 1 Operation 2 duration 76 mins.
Job 6 Operation 2 duration 13 mins.
Job 7 Operation 2 duration 11 mins.
Job 3 Operation 3 duration 57 mins.
Job 5 Operation 3 duration 4 mins.
Job 0 Operation 4 duration 19 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 73 -> 73
Job 7 Operation 0 on Machine 1 : 0 + 58 -> 58
Job 4 Operation 0 on Machine 2 : 0 + 4 -> 4
Job 1 Operation 0 on Machine 3 : 0 + 70 -> 70
Job 2 Operation 0 on Machine 4 : 0 + 17 -> 17
Job 4 Operation 1 on Machine 4 : 17 + 78 -> 95
Job 2 Operation 1 on Machine 3 : 70 + 77 -> 147
Job 0 Operation 0 on Machine 0 : 73 + 73 -> 146
Job 5 Operation 1 on Machine 2 : 73 + 21 -> 94
Job 1 Operation 1 on Machine 0 : 146 + 15 -> 161
Job 2 Operation 2 on Machine 2 : 147 + 50 -> 197
Job 5 Operation 2 on Machine 3 : 147 + 28 -> 175
Job 6 Operation 0 on Machine 0 : 161 + 12 -> 173
Job 1 Operation 2 on Machine 4 : 161 + 76 -> 237
Job 3 Operation 0 on Machine 0 : 173 + 42 -> 215
Job 7 Operation 1 on Machine 3 : 175 + 74 -> 249
Job 2 Operation 3 on Machine 1 : 197 + 8 -> 205
Job 6 Operation 1 on Machine 1 : 205 + 27 -> 232
Job 4 Operation 2 on Machine 0 : 215 + 48 -> 263
Job 1 Operation 3 on Machine 2 : 237 + 32 -> 269
Job 6 Operation 2 on Machine 4 : 237 + 13 -> 250
Job 0 Operation 1 on Machine 3 : 249 + 86 -> 335
Job 5 Operation 3 on Machine 4 : 250 + 4 -> 254
Job 7 Operation 2 on Machine 4 : 254 + 11 -> 265
Job 7 Operation 3 on Machine 0 : 265 + 84 -> 349
Job 1 Operation 4 on Machine 1 : 269 + 17 -> 286
Job 3 Operation 1 on Machine 1 : 286 + 4 -> 290
Job 5 Operation 4 on Machine 1 : 290 + 54 -> 344
Job 3 Operation 2 on Machine 2 : 290 + 13 -> 303
Job 3 Operation 3 on Machine 4 : 303 + 57 -> 360
Job 0 Operation 2 on Machine 2 : 335 + 18 -> 353
Job 6 Operation 3 on Machine 3 : 335 + 36 -> 371
Job 2 Operation 4 on Machine 0 : 349 + 33 -> 382
Job 0 Operation 3 on Machine 1 : 353 + 8 -> 361
Job 7 Operation 4 on Machine 2 : 353 + 76 -> 429
Job 0 Operation 4 on Machine 4 : 361 + 19 -> 380
Job 4 Operation 3 on Machine 3 : 371 + 33 -> 404
Job 4 Operation 4 on Machine 1 : 404 + 60 -> 464
Job 3 Operation 4 on Machine 3 : 404 + 60 -> 464
Job 6 Operation 4 on Machine 2 : 429 + 19 -> 448
Makespan: 464.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 6 |
Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 38 mins.
Operation 1 on Machine 5 duration 44 mins.
Operation 2 on Machine 2 duration 65 mins.
Operation 3 on Machine 4 duration 45 mins.
Operation 4 on Machine 3 duration 11 mins.
Operation 5 on Machine 0 duration 58 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 92 mins.
Operation 1 on Machine 5 duration 85 mins.
Operation 2 on Machine 0 duration 108 mins.
Operation 3 on Machine 2 duration 104 mins.
Operation 4 on Machine 4 duration 94 mins.
Operation 5 on Machine 3 duration 109 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 79 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 2 duration 58 mins.
Operation 3 on Machine 1 duration 30 mins.
Operation 4 on Machine 4 duration 53 mins.
Operation 5 on Machine 5 duration 69 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 25 mins.
Operation 1 on Machine 4 duration 38 mins.
Operation 2 on Machine 3 duration 93 mins.
Operation 3 on Machine 2 duration 85 mins.
Operation 4 on Machine 1 duration 53 mins.
Operation 5 on Machine 0 duration 25 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 60 mins.
Operation 1 on Machine 1 duration 54 mins.
Operation 2 on Machine 2 duration 37 mins.
Operation 3 on Machine 5 duration 72 mins.
Operation 4 on Machine 3 duration 74 mins.
Operation 5 on Machine 0 duration 59 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 76 mins.
Operation 1 on Machine 5 duration 24 mins.
Operation 2 on Machine 3 duration 19 mins.
Operation 3 on Machine 4 duration 111 mins.
Operation 4 on Machine 1 duration 7 mins.
Operation 5 on Machine 0 duration 20 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 45 mins.
Operation 1 on Machine 5 duration 64 mins.
Operation 2 on Machine 2 duration 56 mins.
Operation 3 on Machine 3 duration 18 mins.
Operation 4 on Machine 0 duration 54 mins.
Operation 5 on Machine 4 duration 11 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 74 mins.
Operation 1 on Machine 0 duration 35 mins.
Operation 2 on Machine 3 duration 75 mins.
Operation 3 on Machine 1 duration 30 mins.
Operation 4 on Machine 4 duration 105 mins.
Operation 5 on Machine 5 duration 46 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 45 mins.
Operation 1 on Machine 1 duration 72 mins.
Operation 2 on Machine 4 duration 107 mins.
Operation 3 on Machine 0 duration 110 mins.
Operation 4 on Machine 3 duration 102 mins.
Operation 5 on Machine 2 duration 106 mins.
| null |
Optimize schedule for 9 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 1 duration 8 mins.
Job 7 Operation 1 duration 35 mins.
Job 1 Operation 2 duration 108 mins.
Job 8 Operation 3 duration 110 mins.
Job 6 Operation 4 duration 54 mins.
Job 0 Operation 5 duration 58 mins.
Job 3 Operation 5 duration 25 mins.
Job 4 Operation 5 duration 59 mins.
Job 5 Operation 5 duration 20 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 38 mins.
Job 1 Operation 0 duration 92 mins.
Job 6 Operation 0 duration 45 mins.
Job 4 Operation 1 duration 54 mins.
Job 8 Operation 1 duration 72 mins.
Job 2 Operation 3 duration 30 mins.
Job 7 Operation 3 duration 30 mins.
Job 3 Operation 4 duration 53 mins.
Job 5 Operation 4 duration 7 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 76 mins.
Job 7 Operation 0 duration 74 mins.
Job 0 Operation 2 duration 65 mins.
Job 2 Operation 2 duration 58 mins.
Job 4 Operation 2 duration 37 mins.
Job 6 Operation 2 duration 56 mins.
Job 1 Operation 3 duration 104 mins.
Job 3 Operation 3 duration 85 mins.
Job 8 Operation 5 duration 106 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 79 mins.
Job 3 Operation 2 duration 93 mins.
Job 5 Operation 2 duration 19 mins.
Job 7 Operation 2 duration 75 mins.
Job 6 Operation 3 duration 18 mins.
Job 0 Operation 4 duration 11 mins.
Job 4 Operation 4 duration 74 mins.
Job 8 Operation 4 duration 102 mins.
Job 1 Operation 5 duration 109 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 60 mins.
Job 3 Operation 1 duration 38 mins.
Job 8 Operation 2 duration 107 mins.
Job 0 Operation 3 duration 45 mins.
Job 5 Operation 3 duration 111 mins.
Job 1 Operation 4 duration 94 mins.
Job 2 Operation 4 duration 53 mins.
Job 7 Operation 4 duration 105 mins.
Job 6 Operation 5 duration 11 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 25 mins.
Job 8 Operation 0 duration 45 mins.
Job 0 Operation 1 duration 44 mins.
Job 1 Operation 1 duration 85 mins.
Job 5 Operation 1 duration 24 mins.
Job 6 Operation 1 duration 64 mins.
Job 4 Operation 3 duration 72 mins.
Job 2 Operation 5 duration 69 mins.
Job 7 Operation 5 duration 46 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 1 : 0 + 38 -> 38
Job 5 Operation 0 on Machine 2 : 0 + 76 -> 76
Job 2 Operation 0 on Machine 3 : 0 + 79 -> 79
Job 3 Operation 0 on Machine 5 : 0 + 25 -> 25
Job 3 Operation 1 on Machine 4 : 25 + 38 -> 63
Job 8 Operation 0 on Machine 5 : 25 + 45 -> 70
Job 1 Operation 0 on Machine 1 : 38 + 92 -> 130
Job 4 Operation 0 on Machine 4 : 63 + 60 -> 123
Job 7 Operation 0 on Machine 2 : 76 + 74 -> 150
Job 5 Operation 1 on Machine 5 : 76 + 24 -> 100
Job 2 Operation 1 on Machine 0 : 79 + 8 -> 87
Job 5 Operation 2 on Machine 3 : 100 + 19 -> 119
Job 0 Operation 1 on Machine 5 : 100 + 44 -> 144
Job 5 Operation 3 on Machine 4 : 123 + 111 -> 234
Job 8 Operation 1 on Machine 1 : 130 + 72 -> 202
Job 1 Operation 1 on Machine 5 : 144 + 85 -> 229
Job 7 Operation 1 on Machine 0 : 150 + 35 -> 185
Job 2 Operation 2 on Machine 2 : 150 + 58 -> 208
Job 7 Operation 2 on Machine 3 : 185 + 75 -> 260
Job 4 Operation 1 on Machine 1 : 202 + 54 -> 256
Job 0 Operation 2 on Machine 2 : 208 + 65 -> 273
Job 1 Operation 2 on Machine 0 : 229 + 108 -> 337
Job 8 Operation 2 on Machine 4 : 234 + 107 -> 341
Job 7 Operation 3 on Machine 1 : 260 + 30 -> 290
Job 3 Operation 2 on Machine 3 : 260 + 93 -> 353
Job 4 Operation 2 on Machine 2 : 273 + 37 -> 310
Job 2 Operation 3 on Machine 1 : 290 + 30 -> 320
Job 4 Operation 3 on Machine 5 : 310 + 72 -> 382
Job 5 Operation 4 on Machine 1 : 320 + 7 -> 327
Job 6 Operation 0 on Machine 1 : 327 + 45 -> 372
Job 1 Operation 3 on Machine 2 : 337 + 104 -> 441
Job 8 Operation 3 on Machine 0 : 341 + 110 -> 451
Job 0 Operation 3 on Machine 4 : 341 + 45 -> 386
Job 4 Operation 4 on Machine 3 : 382 + 74 -> 456
Job 6 Operation 1 on Machine 5 : 382 + 64 -> 446
Job 2 Operation 4 on Machine 4 : 386 + 53 -> 439
Job 1 Operation 4 on Machine 4 : 441 + 94 -> 535
Job 6 Operation 2 on Machine 2 : 446 + 56 -> 502
Job 2 Operation 5 on Machine 5 : 446 + 69 -> 515
Job 4 Operation 5 on Machine 0 : 456 + 59 -> 515
Job 0 Operation 4 on Machine 3 : 456 + 11 -> 467
Job 8 Operation 4 on Machine 3 : 467 + 102 -> 569
Job 3 Operation 3 on Machine 2 : 502 + 85 -> 587
Job 0 Operation 5 on Machine 0 : 515 + 58 -> 573
Job 7 Operation 4 on Machine 4 : 535 + 105 -> 640
Job 6 Operation 3 on Machine 3 : 569 + 18 -> 587
Job 6 Operation 4 on Machine 0 : 587 + 54 -> 641
Job 3 Operation 4 on Machine 1 : 587 + 53 -> 640
Job 8 Operation 5 on Machine 2 : 587 + 106 -> 693
Job 1 Operation 5 on Machine 3 : 587 + 109 -> 696
Job 7 Operation 5 on Machine 5 : 640 + 46 -> 686
Job 5 Operation 5 on Machine 0 : 641 + 20 -> 661
Job 6 Operation 5 on Machine 4 : 641 + 11 -> 652
Job 3 Operation 5 on Machine 0 : 661 + 25 -> 686
Makespan: 696.0, as it is the maximum end completion time of Operation 5
| null |
|
4 | 3 |
Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 174 mins.
Operation 1 on Machine 2 duration 297 mins.
Operation 2 on Machine 1 duration 85 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 417 mins.
Operation 1 on Machine 1 duration 27 mins.
Operation 2 on Machine 2 duration 411 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 41 mins.
Operation 1 on Machine 2 duration 243 mins.
Operation 2 on Machine 0 duration 196 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 377 mins.
Operation 1 on Machine 0 duration 111 mins.
Operation 2 on Machine 2 duration 35 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 174 mins.
Job 1 Operation 0 duration 417 mins.
Job 3 Operation 1 duration 111 mins.
Job 2 Operation 2 duration 196 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 41 mins.
Job 3 Operation 0 duration 377 mins.
Job 1 Operation 1 duration 27 mins.
Job 0 Operation 2 duration 85 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 297 mins.
Job 2 Operation 1 duration 243 mins.
Job 1 Operation 2 duration 411 mins.
Job 3 Operation 2 duration 35 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 174 -> 174
Job 2 Operation 0 on Machine 1 : 0 + 41 -> 41
Job 3 Operation 0 on Machine 1 : 41 + 377 -> 418
Job 2 Operation 1 on Machine 2 : 41 + 243 -> 284
Job 1 Operation 0 on Machine 0 : 174 + 417 -> 591
Job 0 Operation 1 on Machine 2 : 284 + 297 -> 581
Job 2 Operation 2 on Machine 0 : 591 + 196 -> 787
Job 1 Operation 1 on Machine 1 : 591 + 27 -> 618
Job 0 Operation 2 on Machine 1 : 618 + 85 -> 703
Job 1 Operation 2 on Machine 2 : 618 + 411 -> 1029
Job 3 Operation 1 on Machine 0 : 787 + 111 -> 898
Job 3 Operation 2 on Machine 2 : 1029 + 35 -> 1064
Makespan: 1064.0, as it is the maximum end completion time of Operation 2
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 8 duration 135 mins.
Operation 1 on Machine 7 duration 222 mins.
Operation 2 on Machine 5 duration 154 mins.
Operation 3 on Machine 1 duration 74 mins.
Operation 4 on Machine 10 duration 104 mins.
Operation 5 on Machine 0 duration 166 mins.
Operation 6 on Machine 9 duration 162 mins.
Operation 7 on Machine 3 duration 4 mins.
Operation 8 on Machine 4 duration 198 mins.
Operation 9 on Machine 2 duration 34 mins.
Operation 10 on Machine 11 duration 212 mins.
Operation 11 on Machine 6 duration 128 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 10 duration 197 mins.
Operation 1 on Machine 9 duration 40 mins.
Operation 2 on Machine 4 duration 79 mins.
Operation 3 on Machine 6 duration 135 mins.
Operation 4 on Machine 5 duration 59 mins.
Operation 5 on Machine 3 duration 7 mins.
Operation 6 on Machine 8 duration 8 mins.
Operation 7 on Machine 1 duration 200 mins.
Operation 8 on Machine 2 duration 284 mins.
Operation 9 on Machine 11 duration 276 mins.
Operation 10 on Machine 0 duration 110 mins.
Operation 11 on Machine 7 duration 19 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 9 duration 76 mins.
Operation 1 on Machine 11 duration 83 mins.
Operation 2 on Machine 5 duration 4 mins.
Operation 3 on Machine 4 duration 27 mins.
Operation 4 on Machine 1 duration 60 mins.
Operation 5 on Machine 10 duration 71 mins.
Operation 6 on Machine 6 duration 208 mins.
Operation 7 on Machine 2 duration 198 mins.
Operation 8 on Machine 3 duration 182 mins.
Operation 9 on Machine 0 duration 244 mins.
Operation 10 on Machine 7 duration 20 mins.
Operation 11 on Machine 8 duration 183 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 11 duration 173 mins.
Operation 1 on Machine 5 duration 264 mins.
Operation 2 on Machine 6 duration 132 mins.
Operation 3 on Machine 1 duration 211 mins.
Operation 4 on Machine 2 duration 76 mins.
Operation 5 on Machine 10 duration 92 mins.
Operation 6 on Machine 9 duration 274 mins.
Operation 7 on Machine 3 duration 95 mins.
Operation 8 on Machine 4 duration 267 mins.
Operation 9 on Machine 8 duration 133 mins.
Operation 10 on Machine 0 duration 173 mins.
Operation 11 on Machine 7 duration 233 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 216 mins.
Operation 1 on Machine 11 duration 228 mins.
Operation 2 on Machine 8 duration 183 mins.
Operation 3 on Machine 1 duration 72 mins.
Operation 4 on Machine 4 duration 12 mins.
Operation 5 on Machine 10 duration 145 mins.
Operation 6 on Machine 6 duration 12 mins.
Operation 7 on Machine 9 duration 112 mins.
Operation 8 on Machine 2 duration 145 mins.
Operation 9 on Machine 3 duration 229 mins.
Operation 10 on Machine 5 duration 110 mins.
Operation 11 on Machine 7 duration 235 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 140 mins.
Operation 1 on Machine 1 duration 206 mins.
Operation 2 on Machine 2 duration 186 mins.
Operation 3 on Machine 8 duration 275 mins.
Operation 4 on Machine 9 duration 215 mins.
Operation 5 on Machine 4 duration 221 mins.
Operation 6 on Machine 6 duration 56 mins.
Operation 7 on Machine 3 duration 191 mins.
Operation 8 on Machine 7 duration 20 mins.
Operation 9 on Machine 11 duration 3 mins.
Operation 10 on Machine 10 duration 252 mins.
Operation 11 on Machine 0 duration 197 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 9 duration 95 mins.
Operation 1 on Machine 1 duration 184 mins.
Operation 2 on Machine 5 duration 158 mins.
Operation 3 on Machine 0 duration 240 mins.
Operation 4 on Machine 7 duration 282 mins.
Operation 5 on Machine 6 duration 223 mins.
Operation 6 on Machine 8 duration 245 mins.
Operation 7 on Machine 11 duration 142 mins.
Operation 8 on Machine 3 duration 185 mins.
Operation 9 on Machine 4 duration 204 mins.
Operation 10 on Machine 10 duration 223 mins.
Operation 11 on Machine 2 duration 245 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 8 duration 119 mins.
Operation 1 on Machine 2 duration 122 mins.
Operation 2 on Machine 9 duration 141 mins.
Operation 3 on Machine 11 duration 73 mins.
Operation 4 on Machine 3 duration 86 mins.
Operation 5 on Machine 1 duration 39 mins.
Operation 6 on Machine 10 duration 145 mins.
Operation 7 on Machine 7 duration 114 mins.
Operation 8 on Machine 5 duration 99 mins.
Operation 9 on Machine 4 duration 273 mins.
Operation 10 on Machine 0 duration 195 mins.
Operation 11 on Machine 6 duration 280 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 8 duration 108 mins.
Operation 1 on Machine 6 duration 130 mins.
Operation 2 on Machine 3 duration 182 mins.
Operation 3 on Machine 1 duration 235 mins.
Operation 4 on Machine 10 duration 106 mins.
Operation 5 on Machine 9 duration 54 mins.
Operation 6 on Machine 11 duration 200 mins.
Operation 7 on Machine 5 duration 53 mins.
Operation 8 on Machine 2 duration 206 mins.
Operation 9 on Machine 7 duration 167 mins.
Operation 10 on Machine 4 duration 235 mins.
Operation 11 on Machine 0 duration 243 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 9 duration 81 mins.
Operation 1 on Machine 8 duration 122 mins.
Operation 2 on Machine 2 duration 9 mins.
Operation 3 on Machine 11 duration 140 mins.
Operation 4 on Machine 3 duration 211 mins.
Operation 5 on Machine 7 duration 77 mins.
Operation 6 on Machine 1 duration 109 mins.
Operation 7 on Machine 5 duration 115 mins.
Operation 8 on Machine 0 duration 171 mins.
Operation 9 on Machine 10 duration 54 mins.
Operation 10 on Machine 4 duration 76 mins.
Operation 11 on Machine 6 duration 280 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 2 duration 120 mins.
Operation 1 on Machine 3 duration 23 mins.
Operation 2 on Machine 0 duration 251 mins.
Operation 3 on Machine 6 duration 67 mins.
Operation 4 on Machine 8 duration 142 mins.
Operation 5 on Machine 10 duration 37 mins.
Operation 6 on Machine 9 duration 258 mins.
Operation 7 on Machine 7 duration 136 mins.
Operation 8 on Machine 1 duration 156 mins.
Operation 9 on Machine 11 duration 2 mins.
Operation 10 on Machine 4 duration 51 mins.
Operation 11 on Machine 5 duration 207 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 1 duration 19 mins.
Operation 1 on Machine 10 duration 164 mins.
Operation 2 on Machine 2 duration 240 mins.
Operation 3 on Machine 3 duration 251 mins.
Operation 4 on Machine 0 duration 176 mins.
Operation 5 on Machine 7 duration 162 mins.
Operation 6 on Machine 6 duration 70 mins.
Operation 7 on Machine 8 duration 272 mins.
Operation 8 on Machine 4 duration 254 mins.
Operation 9 on Machine 9 duration 265 mins.
Operation 10 on Machine 11 duration 234 mins.
Operation 11 on Machine 5 duration 23 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 216 mins.
Job 10 Operation 2 duration 251 mins.
Job 6 Operation 3 duration 240 mins.
Job 11 Operation 4 duration 176 mins.
Job 0 Operation 5 duration 166 mins.
Job 9 Operation 8 duration 171 mins.
Job 2 Operation 9 duration 244 mins.
Job 1 Operation 10 duration 110 mins.
Job 3 Operation 10 duration 173 mins.
Job 7 Operation 10 duration 195 mins.
Job 5 Operation 11 duration 197 mins.
Job 8 Operation 11 duration 243 mins.
Machine 1 is used for the following Operations:
Job 11 Operation 0 duration 19 mins.
Job 5 Operation 1 duration 206 mins.
Job 6 Operation 1 duration 184 mins.
Job 0 Operation 3 duration 74 mins.
Job 3 Operation 3 duration 211 mins.
Job 4 Operation 3 duration 72 mins.
Job 8 Operation 3 duration 235 mins.
Job 2 Operation 4 duration 60 mins.
Job 7 Operation 5 duration 39 mins.
Job 9 Operation 6 duration 109 mins.
Job 1 Operation 7 duration 200 mins.
Job 10 Operation 8 duration 156 mins.
Machine 2 is used for the following Operations:
Job 10 Operation 0 duration 120 mins.
Job 7 Operation 1 duration 122 mins.
Job 5 Operation 2 duration 186 mins.
Job 9 Operation 2 duration 9 mins.
Job 11 Operation 2 duration 240 mins.
Job 3 Operation 4 duration 76 mins.
Job 2 Operation 7 duration 198 mins.
Job 1 Operation 8 duration 284 mins.
Job 4 Operation 8 duration 145 mins.
Job 8 Operation 8 duration 206 mins.
Job 0 Operation 9 duration 34 mins.
Job 6 Operation 11 duration 245 mins.
Machine 3 is used for the following Operations:
Job 10 Operation 1 duration 23 mins.
Job 8 Operation 2 duration 182 mins.
Job 11 Operation 3 duration 251 mins.
Job 7 Operation 4 duration 86 mins.
Job 9 Operation 4 duration 211 mins.
Job 1 Operation 5 duration 7 mins.
Job 0 Operation 7 duration 4 mins.
Job 3 Operation 7 duration 95 mins.
Job 5 Operation 7 duration 191 mins.
Job 2 Operation 8 duration 182 mins.
Job 6 Operation 8 duration 185 mins.
Job 4 Operation 9 duration 229 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 2 duration 79 mins.
Job 2 Operation 3 duration 27 mins.
Job 4 Operation 4 duration 12 mins.
Job 5 Operation 5 duration 221 mins.
Job 0 Operation 8 duration 198 mins.
Job 3 Operation 8 duration 267 mins.
Job 11 Operation 8 duration 254 mins.
Job 6 Operation 9 duration 204 mins.
Job 7 Operation 9 duration 273 mins.
Job 8 Operation 10 duration 235 mins.
Job 9 Operation 10 duration 76 mins.
Job 10 Operation 10 duration 51 mins.
Machine 5 is used for the following Operations:
Job 5 Operation 0 duration 140 mins.
Job 3 Operation 1 duration 264 mins.
Job 0 Operation 2 duration 154 mins.
Job 2 Operation 2 duration 4 mins.
Job 6 Operation 2 duration 158 mins.
Job 1 Operation 4 duration 59 mins.
Job 8 Operation 7 duration 53 mins.
Job 9 Operation 7 duration 115 mins.
Job 7 Operation 8 duration 99 mins.
Job 4 Operation 10 duration 110 mins.
Job 10 Operation 11 duration 207 mins.
Job 11 Operation 11 duration 23 mins.
Machine 6 is used for the following Operations:
Job 8 Operation 1 duration 130 mins.
Job 3 Operation 2 duration 132 mins.
Job 1 Operation 3 duration 135 mins.
Job 10 Operation 3 duration 67 mins.
Job 6 Operation 5 duration 223 mins.
Job 2 Operation 6 duration 208 mins.
Job 4 Operation 6 duration 12 mins.
Job 5 Operation 6 duration 56 mins.
Job 11 Operation 6 duration 70 mins.
Job 0 Operation 11 duration 128 mins.
Job 7 Operation 11 duration 280 mins.
Job 9 Operation 11 duration 280 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 1 duration 222 mins.
Job 6 Operation 4 duration 282 mins.
Job 9 Operation 5 duration 77 mins.
Job 11 Operation 5 duration 162 mins.
Job 7 Operation 7 duration 114 mins.
Job 10 Operation 7 duration 136 mins.
Job 5 Operation 8 duration 20 mins.
Job 8 Operation 9 duration 167 mins.
Job 2 Operation 10 duration 20 mins.
Job 1 Operation 11 duration 19 mins.
Job 3 Operation 11 duration 233 mins.
Job 4 Operation 11 duration 235 mins.
Machine 8 is used for the following Operations:
Job 0 Operation 0 duration 135 mins.
Job 7 Operation 0 duration 119 mins.
Job 8 Operation 0 duration 108 mins.
Job 9 Operation 1 duration 122 mins.
Job 4 Operation 2 duration 183 mins.
Job 5 Operation 3 duration 275 mins.
Job 10 Operation 4 duration 142 mins.
Job 1 Operation 6 duration 8 mins.
Job 6 Operation 6 duration 245 mins.
Job 11 Operation 7 duration 272 mins.
Job 3 Operation 9 duration 133 mins.
Job 2 Operation 11 duration 183 mins.
Machine 9 is used for the following Operations:
Job 2 Operation 0 duration 76 mins.
Job 6 Operation 0 duration 95 mins.
Job 9 Operation 0 duration 81 mins.
Job 1 Operation 1 duration 40 mins.
Job 7 Operation 2 duration 141 mins.
Job 5 Operation 4 duration 215 mins.
Job 8 Operation 5 duration 54 mins.
Job 0 Operation 6 duration 162 mins.
Job 3 Operation 6 duration 274 mins.
Job 10 Operation 6 duration 258 mins.
Job 4 Operation 7 duration 112 mins.
Job 11 Operation 9 duration 265 mins.
Machine 10 is used for the following Operations:
Job 1 Operation 0 duration 197 mins.
Job 11 Operation 1 duration 164 mins.
Job 0 Operation 4 duration 104 mins.
Job 8 Operation 4 duration 106 mins.
Job 2 Operation 5 duration 71 mins.
Job 3 Operation 5 duration 92 mins.
Job 4 Operation 5 duration 145 mins.
Job 10 Operation 5 duration 37 mins.
Job 7 Operation 6 duration 145 mins.
Job 9 Operation 9 duration 54 mins.
Job 5 Operation 10 duration 252 mins.
Job 6 Operation 10 duration 223 mins.
Machine 11 is used for the following Operations:
Job 3 Operation 0 duration 173 mins.
Job 2 Operation 1 duration 83 mins.
Job 4 Operation 1 duration 228 mins.
Job 7 Operation 3 duration 73 mins.
Job 9 Operation 3 duration 140 mins.
Job 8 Operation 6 duration 200 mins.
Job 6 Operation 7 duration 142 mins.
Job 1 Operation 9 duration 276 mins.
Job 5 Operation 9 duration 3 mins.
Job 10 Operation 9 duration 2 mins.
Job 0 Operation 10 duration 212 mins.
Job 11 Operation 10 duration 234 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 216 -> 216
Job 11 Operation 0 on Machine 1 : 0 + 19 -> 19
Job 5 Operation 0 on Machine 5 : 0 + 140 -> 140
Job 7 Operation 0 on Machine 8 : 0 + 119 -> 119
Job 6 Operation 0 on Machine 9 : 0 + 95 -> 95
Job 1 Operation 0 on Machine 10 : 0 + 197 -> 197
Job 3 Operation 0 on Machine 11 : 0 + 173 -> 173
Job 6 Operation 1 on Machine 1 : 95 + 184 -> 279
Job 9 Operation 0 on Machine 9 : 95 + 81 -> 176
Job 7 Operation 1 on Machine 2 : 119 + 122 -> 241
Job 0 Operation 0 on Machine 8 : 119 + 135 -> 254
Job 3 Operation 1 on Machine 5 : 173 + 264 -> 437
Job 1 Operation 1 on Machine 9 : 197 + 40 -> 237
Job 11 Operation 1 on Machine 10 : 197 + 164 -> 361
Job 1 Operation 2 on Machine 4 : 237 + 79 -> 316
Job 10 Operation 0 on Machine 2 : 241 + 120 -> 361
Job 7 Operation 2 on Machine 9 : 241 + 141 -> 382
Job 0 Operation 1 on Machine 7 : 254 + 222 -> 476
Job 9 Operation 1 on Machine 8 : 254 + 122 -> 376
Job 5 Operation 1 on Machine 1 : 279 + 206 -> 485
Job 10 Operation 1 on Machine 3 : 361 + 23 -> 384
Job 9 Operation 2 on Machine 2 : 376 + 9 -> 385
Job 8 Operation 0 on Machine 8 : 376 + 108 -> 484
Job 2 Operation 0 on Machine 9 : 382 + 76 -> 458
Job 7 Operation 3 on Machine 11 : 382 + 73 -> 455
Job 10 Operation 2 on Machine 0 : 384 + 251 -> 635
Job 6 Operation 2 on Machine 5 : 437 + 158 -> 595
Job 3 Operation 2 on Machine 6 : 437 + 132 -> 569
Job 7 Operation 4 on Machine 3 : 455 + 86 -> 541
Job 9 Operation 3 on Machine 11 : 455 + 140 -> 595
Job 5 Operation 2 on Machine 2 : 485 + 186 -> 671
Job 7 Operation 5 on Machine 1 : 541 + 39 -> 580
Job 8 Operation 1 on Machine 6 : 569 + 130 -> 699
Job 7 Operation 6 on Machine 10 : 580 + 145 -> 725
Job 9 Operation 4 on Machine 3 : 595 + 211 -> 806
Job 0 Operation 2 on Machine 5 : 595 + 154 -> 749
Job 2 Operation 1 on Machine 11 : 595 + 83 -> 678
Job 6 Operation 3 on Machine 0 : 635 + 240 -> 875
Job 11 Operation 2 on Machine 2 : 671 + 240 -> 911
Job 5 Operation 3 on Machine 8 : 671 + 275 -> 946
Job 4 Operation 1 on Machine 11 : 678 + 228 -> 906
Job 1 Operation 3 on Machine 6 : 699 + 135 -> 834
Job 7 Operation 7 on Machine 7 : 725 + 114 -> 839
Job 0 Operation 3 on Machine 1 : 749 + 74 -> 823
Job 2 Operation 2 on Machine 5 : 749 + 4 -> 753
Job 2 Operation 3 on Machine 4 : 753 + 27 -> 780
Job 8 Operation 2 on Machine 3 : 806 + 182 -> 988
Job 2 Operation 4 on Machine 1 : 823 + 60 -> 883
Job 0 Operation 4 on Machine 10 : 823 + 104 -> 927
Job 10 Operation 3 on Machine 6 : 834 + 67 -> 901
Job 7 Operation 8 on Machine 5 : 839 + 99 -> 938
Job 9 Operation 5 on Machine 7 : 839 + 77 -> 916
Job 3 Operation 3 on Machine 1 : 883 + 211 -> 1094
Job 6 Operation 4 on Machine 7 : 916 + 282 -> 1198
Job 0 Operation 5 on Machine 0 : 927 + 166 -> 1093
Job 2 Operation 5 on Machine 10 : 927 + 71 -> 998
Job 7 Operation 9 on Machine 4 : 938 + 273 -> 1211
Job 1 Operation 4 on Machine 5 : 938 + 59 -> 997
Job 10 Operation 4 on Machine 8 : 946 + 142 -> 1088
Job 5 Operation 4 on Machine 9 : 946 + 215 -> 1161
Job 11 Operation 3 on Machine 3 : 988 + 251 -> 1239
Job 2 Operation 6 on Machine 6 : 998 + 208 -> 1206
Job 10 Operation 5 on Machine 10 : 1088 + 37 -> 1125
Job 9 Operation 6 on Machine 1 : 1094 + 109 -> 1203
Job 3 Operation 4 on Machine 2 : 1094 + 76 -> 1170
Job 0 Operation 6 on Machine 9 : 1161 + 162 -> 1323
Job 3 Operation 5 on Machine 10 : 1170 + 92 -> 1262
Job 8 Operation 3 on Machine 1 : 1203 + 235 -> 1438
Job 9 Operation 7 on Machine 5 : 1203 + 115 -> 1318
Job 2 Operation 7 on Machine 2 : 1206 + 198 -> 1404
Job 6 Operation 5 on Machine 6 : 1206 + 223 -> 1429
Job 5 Operation 5 on Machine 4 : 1211 + 221 -> 1432
Job 11 Operation 4 on Machine 0 : 1239 + 176 -> 1415
Job 1 Operation 5 on Machine 3 : 1239 + 7 -> 1246
Job 1 Operation 6 on Machine 8 : 1246 + 8 -> 1254
Job 4 Operation 2 on Machine 8 : 1254 + 183 -> 1437
Job 0 Operation 7 on Machine 3 : 1323 + 4 -> 1327
Job 3 Operation 6 on Machine 9 : 1323 + 274 -> 1597
Job 2 Operation 8 on Machine 3 : 1404 + 182 -> 1586
Job 9 Operation 8 on Machine 0 : 1415 + 171 -> 1586
Job 11 Operation 5 on Machine 7 : 1415 + 162 -> 1577
Job 0 Operation 8 on Machine 4 : 1432 + 198 -> 1630
Job 5 Operation 6 on Machine 6 : 1432 + 56 -> 1488
Job 6 Operation 6 on Machine 8 : 1437 + 245 -> 1682
Job 4 Operation 3 on Machine 1 : 1438 + 72 -> 1510
Job 8 Operation 4 on Machine 10 : 1438 + 106 -> 1544
Job 1 Operation 7 on Machine 1 : 1510 + 200 -> 1710
Job 11 Operation 6 on Machine 6 : 1577 + 70 -> 1647
Job 2 Operation 9 on Machine 0 : 1586 + 244 -> 1830
Job 9 Operation 9 on Machine 10 : 1586 + 54 -> 1640
Job 3 Operation 7 on Machine 3 : 1597 + 95 -> 1692
Job 8 Operation 5 on Machine 9 : 1597 + 54 -> 1651
Job 0 Operation 9 on Machine 2 : 1630 + 34 -> 1664
Job 4 Operation 4 on Machine 4 : 1630 + 12 -> 1642
Job 9 Operation 10 on Machine 4 : 1642 + 76 -> 1718
Job 4 Operation 5 on Machine 10 : 1642 + 145 -> 1787
Job 10 Operation 6 on Machine 9 : 1651 + 258 -> 1909
Job 8 Operation 6 on Machine 11 : 1651 + 200 -> 1851
Job 11 Operation 7 on Machine 8 : 1682 + 272 -> 1954
Job 5 Operation 7 on Machine 3 : 1692 + 191 -> 1883
Job 1 Operation 8 on Machine 2 : 1710 + 284 -> 1994
Job 3 Operation 8 on Machine 4 : 1718 + 267 -> 1985
Job 9 Operation 11 on Machine 6 : 1718 + 280 -> 1998
Job 7 Operation 10 on Machine 0 : 1830 + 195 -> 2025
Job 2 Operation 10 on Machine 7 : 1830 + 20 -> 1850
Job 8 Operation 7 on Machine 5 : 1851 + 53 -> 1904
Job 6 Operation 7 on Machine 11 : 1851 + 142 -> 1993
Job 5 Operation 8 on Machine 7 : 1883 + 20 -> 1903
Job 10 Operation 7 on Machine 7 : 1909 + 136 -> 2045
Job 11 Operation 8 on Machine 4 : 1985 + 254 -> 2239
Job 3 Operation 9 on Machine 8 : 1985 + 133 -> 2118
Job 6 Operation 8 on Machine 3 : 1993 + 185 -> 2178
Job 5 Operation 9 on Machine 11 : 1993 + 3 -> 1996
Job 8 Operation 8 on Machine 2 : 1994 + 206 -> 2200
Job 5 Operation 10 on Machine 10 : 1996 + 252 -> 2248
Job 0 Operation 10 on Machine 11 : 1996 + 212 -> 2208
Job 4 Operation 6 on Machine 6 : 1998 + 12 -> 2010
Job 4 Operation 7 on Machine 9 : 2010 + 112 -> 2122
Job 10 Operation 8 on Machine 1 : 2045 + 156 -> 2201
Job 3 Operation 10 on Machine 0 : 2118 + 173 -> 2291
Job 2 Operation 11 on Machine 8 : 2118 + 183 -> 2301
Job 4 Operation 8 on Machine 2 : 2200 + 145 -> 2345
Job 8 Operation 9 on Machine 7 : 2200 + 167 -> 2367
Job 0 Operation 11 on Machine 6 : 2208 + 128 -> 2336
Job 10 Operation 9 on Machine 11 : 2208 + 2 -> 2210
Job 1 Operation 9 on Machine 11 : 2210 + 276 -> 2486
Job 6 Operation 9 on Machine 4 : 2239 + 204 -> 2443
Job 11 Operation 9 on Machine 9 : 2239 + 265 -> 2504
Job 5 Operation 11 on Machine 0 : 2291 + 197 -> 2488
Job 7 Operation 11 on Machine 6 : 2336 + 280 -> 2616
Job 4 Operation 9 on Machine 3 : 2345 + 229 -> 2574
Job 3 Operation 11 on Machine 7 : 2367 + 233 -> 2600
Job 8 Operation 10 on Machine 4 : 2443 + 235 -> 2678
Job 6 Operation 10 on Machine 10 : 2443 + 223 -> 2666
Job 1 Operation 10 on Machine 0 : 2488 + 110 -> 2598
Job 11 Operation 10 on Machine 11 : 2504 + 234 -> 2738
Job 4 Operation 10 on Machine 5 : 2574 + 110 -> 2684
Job 1 Operation 11 on Machine 7 : 2600 + 19 -> 2619
Job 6 Operation 11 on Machine 2 : 2666 + 245 -> 2911
Job 8 Operation 11 on Machine 0 : 2678 + 243 -> 2921
Job 10 Operation 10 on Machine 4 : 2678 + 51 -> 2729
Job 4 Operation 11 on Machine 7 : 2684 + 235 -> 2919
Job 10 Operation 11 on Machine 5 : 2729 + 207 -> 2936
Job 11 Operation 11 on Machine 5 : 2936 + 23 -> 2959
Makespan: 2959.0, as it is the maximum end completion time of Operation 11
| null |
|
6 | 6 |
Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 191 mins.
Operation 1 on Machine 4 duration 130 mins.
Operation 2 on Machine 0 duration 179 mins.
Operation 3 on Machine 5 duration 189 mins.
Operation 4 on Machine 3 duration 36 mins.
Operation 5 on Machine 2 duration 140 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 38 mins.
Operation 1 on Machine 0 duration 58 mins.
Operation 2 on Machine 5 duration 103 mins.
Operation 3 on Machine 3 duration 67 mins.
Operation 4 on Machine 2 duration 206 mins.
Operation 5 on Machine 4 duration 67 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 30 mins.
Operation 1 on Machine 2 duration 144 mins.
Operation 2 on Machine 1 duration 1 mins.
Operation 3 on Machine 4 duration 175 mins.
Operation 4 on Machine 5 duration 120 mins.
Operation 5 on Machine 0 duration 156 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 59 mins.
Operation 1 on Machine 0 duration 99 mins.
Operation 2 on Machine 4 duration 137 mins.
Operation 3 on Machine 5 duration 68 mins.
Operation 4 on Machine 2 duration 227 mins.
Operation 5 on Machine 1 duration 232 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 18 mins.
Operation 1 on Machine 2 duration 129 mins.
Operation 2 on Machine 0 duration 124 mins.
Operation 3 on Machine 4 duration 213 mins.
Operation 4 on Machine 1 duration 189 mins.
Operation 5 on Machine 5 duration 80 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 2 duration 133 mins.
Operation 2 on Machine 4 duration 171 mins.
Operation 3 on Machine 5 duration 124 mins.
Operation 4 on Machine 3 duration 68 mins.
Operation 5 on Machine 1 duration 196 mins.
| null |
Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 5 Operation 0 duration 4 mins.
Job 1 Operation 1 duration 58 mins.
Job 3 Operation 1 duration 99 mins.
Job 0 Operation 2 duration 179 mins.
Job 4 Operation 2 duration 124 mins.
Job 2 Operation 5 duration 156 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 191 mins.
Job 1 Operation 0 duration 38 mins.
Job 2 Operation 2 duration 1 mins.
Job 4 Operation 4 duration 189 mins.
Job 3 Operation 5 duration 232 mins.
Job 5 Operation 5 duration 196 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 1 duration 144 mins.
Job 4 Operation 1 duration 129 mins.
Job 5 Operation 1 duration 133 mins.
Job 1 Operation 4 duration 206 mins.
Job 3 Operation 4 duration 227 mins.
Job 0 Operation 5 duration 140 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 30 mins.
Job 3 Operation 0 duration 59 mins.
Job 4 Operation 0 duration 18 mins.
Job 1 Operation 3 duration 67 mins.
Job 0 Operation 4 duration 36 mins.
Job 5 Operation 4 duration 68 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 130 mins.
Job 3 Operation 2 duration 137 mins.
Job 5 Operation 2 duration 171 mins.
Job 2 Operation 3 duration 175 mins.
Job 4 Operation 3 duration 213 mins.
Job 1 Operation 5 duration 67 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 2 duration 103 mins.
Job 0 Operation 3 duration 189 mins.
Job 3 Operation 3 duration 68 mins.
Job 5 Operation 3 duration 124 mins.
Job 2 Operation 4 duration 120 mins.
Job 4 Operation 5 duration 80 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 4 -> 4
Job 1 Operation 0 on Machine 1 : 0 + 38 -> 38
Job 4 Operation 0 on Machine 3 : 0 + 18 -> 18
Job 5 Operation 1 on Machine 2 : 4 + 133 -> 137
Job 2 Operation 0 on Machine 3 : 18 + 30 -> 48
Job 1 Operation 1 on Machine 0 : 38 + 58 -> 96
Job 0 Operation 0 on Machine 1 : 38 + 191 -> 229
Job 3 Operation 0 on Machine 3 : 48 + 59 -> 107
Job 1 Operation 2 on Machine 5 : 96 + 103 -> 199
Job 3 Operation 1 on Machine 0 : 107 + 99 -> 206
Job 4 Operation 1 on Machine 2 : 137 + 129 -> 266
Job 5 Operation 2 on Machine 4 : 137 + 171 -> 308
Job 1 Operation 3 on Machine 3 : 199 + 67 -> 266
Job 4 Operation 2 on Machine 0 : 266 + 124 -> 390
Job 1 Operation 4 on Machine 2 : 266 + 206 -> 472
Job 3 Operation 2 on Machine 4 : 308 + 137 -> 445
Job 5 Operation 3 on Machine 5 : 308 + 124 -> 432
Job 5 Operation 4 on Machine 3 : 432 + 68 -> 500
Job 0 Operation 1 on Machine 4 : 445 + 130 -> 575
Job 3 Operation 3 on Machine 5 : 445 + 68 -> 513
Job 2 Operation 1 on Machine 2 : 472 + 144 -> 616
Job 5 Operation 5 on Machine 1 : 500 + 196 -> 696
Job 0 Operation 2 on Machine 0 : 575 + 179 -> 754
Job 4 Operation 3 on Machine 4 : 575 + 213 -> 788
Job 3 Operation 4 on Machine 2 : 616 + 227 -> 843
Job 2 Operation 2 on Machine 1 : 696 + 1 -> 697
Job 0 Operation 3 on Machine 5 : 754 + 189 -> 943
Job 4 Operation 4 on Machine 1 : 788 + 189 -> 977
Job 2 Operation 3 on Machine 4 : 788 + 175 -> 963
Job 0 Operation 4 on Machine 3 : 943 + 36 -> 979
Job 1 Operation 5 on Machine 4 : 963 + 67 -> 1030
Job 2 Operation 4 on Machine 5 : 963 + 120 -> 1083
Job 3 Operation 5 on Machine 1 : 977 + 232 -> 1209
Job 0 Operation 5 on Machine 2 : 979 + 140 -> 1119
Job 2 Operation 5 on Machine 0 : 1083 + 156 -> 1239
Job 4 Operation 5 on Machine 5 : 1083 + 80 -> 1163
Makespan: 1239.0, as it is the maximum end completion time of Operation 5
| 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 1 duration 153 mins.
Operation 1 on Machine 0 duration 261 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 99 mins.
Operation 1 on Machine 0 duration 229 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 1 duration 261 mins.
Job 1 Operation 1 duration 229 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 153 mins.
Job 1 Operation 0 duration 99 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 1 : 0 + 99 -> 99
Job 1 Operation 1 on Machine 0 : 99 + 229 -> 328
Job 0 Operation 0 on Machine 1 : 99 + 153 -> 252
Job 0 Operation 1 on Machine 0 : 328 + 261 -> 589
Makespan: 589.0, as it is the maximum end completion time of Operation 1
| 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 341 mins.
Operation 1 on Machine 1 duration 328 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 234 mins.
Operation 1 on Machine 1 duration 253 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 341 mins.
Job 1 Operation 0 duration 234 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 328 mins.
Job 1 Operation 1 duration 253 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 234 -> 234
Job 0 Operation 0 on Machine 0 : 234 + 341 -> 575
Job 1 Operation 1 on Machine 1 : 234 + 253 -> 487
Job 0 Operation 1 on Machine 1 : 575 + 328 -> 903
Makespan: 903.0, as it is the maximum end completion time of Operation 1
| null |
|
9 | 9 |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 82 mins.
Operation 1 on Machine 1 duration 200 mins.
Operation 2 on Machine 8 duration 276 mins.
Operation 3 on Machine 3 duration 58 mins.
Operation 4 on Machine 5 duration 18 mins.
Operation 5 on Machine 4 duration 274 mins.
Operation 6 on Machine 0 duration 194 mins.
Operation 7 on Machine 7 duration 78 mins.
Operation 8 on Machine 6 duration 193 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 7 duration 222 mins.
Operation 1 on Machine 2 duration 83 mins.
Operation 2 on Machine 3 duration 83 mins.
Operation 3 on Machine 5 duration 7 mins.
Operation 4 on Machine 8 duration 257 mins.
Operation 5 on Machine 0 duration 311 mins.
Operation 6 on Machine 1 duration 238 mins.
Operation 7 on Machine 4 duration 31 mins.
Operation 8 on Machine 6 duration 51 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 314 mins.
Operation 1 on Machine 5 duration 336 mins.
Operation 2 on Machine 3 duration 231 mins.
Operation 3 on Machine 1 duration 116 mins.
Operation 4 on Machine 8 duration 176 mins.
Operation 5 on Machine 4 duration 77 mins.
Operation 6 on Machine 2 duration 139 mins.
Operation 7 on Machine 7 duration 247 mins.
Operation 8 on Machine 6 duration 285 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 225 mins.
Operation 1 on Machine 1 duration 336 mins.
Operation 2 on Machine 8 duration 247 mins.
Operation 3 on Machine 4 duration 222 mins.
Operation 4 on Machine 5 duration 246 mins.
Operation 5 on Machine 2 duration 206 mins.
Operation 6 on Machine 6 duration 270 mins.
Operation 7 on Machine 0 duration 95 mins.
Operation 8 on Machine 7 duration 209 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 5 duration 173 mins.
Operation 1 on Machine 0 duration 223 mins.
Operation 2 on Machine 2 duration 266 mins.
Operation 3 on Machine 1 duration 312 mins.
Operation 4 on Machine 8 duration 93 mins.
Operation 5 on Machine 6 duration 236 mins.
Operation 6 on Machine 3 duration 267 mins.
Operation 7 on Machine 4 duration 46 mins.
Operation 8 on Machine 7 duration 221 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 166 mins.
Operation 1 on Machine 0 duration 315 mins.
Operation 2 on Machine 4 duration 149 mins.
Operation 3 on Machine 8 duration 149 mins.
Operation 4 on Machine 7 duration 247 mins.
Operation 5 on Machine 3 duration 22 mins.
Operation 6 on Machine 6 duration 308 mins.
Operation 7 on Machine 1 duration 320 mins.
Operation 8 on Machine 5 duration 75 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 302 mins.
Operation 1 on Machine 5 duration 67 mins.
Operation 2 on Machine 6 duration 136 mins.
Operation 3 on Machine 7 duration 196 mins.
Operation 4 on Machine 2 duration 313 mins.
Operation 5 on Machine 8 duration 298 mins.
Operation 6 on Machine 3 duration 189 mins.
Operation 7 on Machine 0 duration 155 mins.
Operation 8 on Machine 4 duration 209 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 8 duration 247 mins.
Operation 1 on Machine 4 duration 119 mins.
Operation 2 on Machine 7 duration 18 mins.
Operation 3 on Machine 0 duration 298 mins.
Operation 4 on Machine 3 duration 17 mins.
Operation 5 on Machine 2 duration 180 mins.
Operation 6 on Machine 6 duration 274 mins.
Operation 7 on Machine 1 duration 242 mins.
Operation 8 on Machine 5 duration 329 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 28 mins.
Operation 1 on Machine 3 duration 166 mins.
Operation 2 on Machine 0 duration 164 mins.
Operation 3 on Machine 5 duration 119 mins.
Operation 4 on Machine 4 duration 320 mins.
Operation 5 on Machine 7 duration 103 mins.
Operation 6 on Machine 8 duration 169 mins.
Operation 7 on Machine 2 duration 329 mins.
Operation 8 on Machine 6 duration 225 mins.
| null |
Optimize schedule for 9 Jobs across 9 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 314 mins.
Job 4 Operation 1 duration 223 mins.
Job 5 Operation 1 duration 315 mins.
Job 8 Operation 2 duration 164 mins.
Job 7 Operation 3 duration 298 mins.
Job 1 Operation 5 duration 311 mins.
Job 0 Operation 6 duration 194 mins.
Job 3 Operation 7 duration 95 mins.
Job 6 Operation 7 duration 155 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 302 mins.
Job 8 Operation 0 duration 28 mins.
Job 0 Operation 1 duration 200 mins.
Job 3 Operation 1 duration 336 mins.
Job 2 Operation 3 duration 116 mins.
Job 4 Operation 3 duration 312 mins.
Job 1 Operation 6 duration 238 mins.
Job 5 Operation 7 duration 320 mins.
Job 7 Operation 7 duration 242 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 82 mins.
Job 5 Operation 0 duration 166 mins.
Job 1 Operation 1 duration 83 mins.
Job 4 Operation 2 duration 266 mins.
Job 6 Operation 4 duration 313 mins.
Job 3 Operation 5 duration 206 mins.
Job 7 Operation 5 duration 180 mins.
Job 2 Operation 6 duration 139 mins.
Job 8 Operation 7 duration 329 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 225 mins.
Job 8 Operation 1 duration 166 mins.
Job 1 Operation 2 duration 83 mins.
Job 2 Operation 2 duration 231 mins.
Job 0 Operation 3 duration 58 mins.
Job 7 Operation 4 duration 17 mins.
Job 5 Operation 5 duration 22 mins.
Job 4 Operation 6 duration 267 mins.
Job 6 Operation 6 duration 189 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 1 duration 119 mins.
Job 5 Operation 2 duration 149 mins.
Job 3 Operation 3 duration 222 mins.
Job 8 Operation 4 duration 320 mins.
Job 0 Operation 5 duration 274 mins.
Job 2 Operation 5 duration 77 mins.
Job 1 Operation 7 duration 31 mins.
Job 4 Operation 7 duration 46 mins.
Job 6 Operation 8 duration 209 mins.
Machine 5 is used for the following Operations:
Job 4 Operation 0 duration 173 mins.
Job 2 Operation 1 duration 336 mins.
Job 6 Operation 1 duration 67 mins.
Job 1 Operation 3 duration 7 mins.
Job 8 Operation 3 duration 119 mins.
Job 0 Operation 4 duration 18 mins.
Job 3 Operation 4 duration 246 mins.
Job 5 Operation 8 duration 75 mins.
Job 7 Operation 8 duration 329 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 2 duration 136 mins.
Job 4 Operation 5 duration 236 mins.
Job 3 Operation 6 duration 270 mins.
Job 5 Operation 6 duration 308 mins.
Job 7 Operation 6 duration 274 mins.
Job 0 Operation 8 duration 193 mins.
Job 1 Operation 8 duration 51 mins.
Job 2 Operation 8 duration 285 mins.
Job 8 Operation 8 duration 225 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 0 duration 222 mins.
Job 7 Operation 2 duration 18 mins.
Job 6 Operation 3 duration 196 mins.
Job 5 Operation 4 duration 247 mins.
Job 8 Operation 5 duration 103 mins.
Job 0 Operation 7 duration 78 mins.
Job 2 Operation 7 duration 247 mins.
Job 3 Operation 8 duration 209 mins.
Job 4 Operation 8 duration 221 mins.
Machine 8 is used for the following Operations:
Job 7 Operation 0 duration 247 mins.
Job 0 Operation 2 duration 276 mins.
Job 3 Operation 2 duration 247 mins.
Job 5 Operation 3 duration 149 mins.
Job 1 Operation 4 duration 257 mins.
Job 2 Operation 4 duration 176 mins.
Job 4 Operation 4 duration 93 mins.
Job 6 Operation 5 duration 298 mins.
Job 8 Operation 6 duration 169 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 314 -> 314
Job 6 Operation 0 on Machine 1 : 0 + 302 -> 302
Job 0 Operation 0 on Machine 2 : 0 + 82 -> 82
Job 3 Operation 0 on Machine 3 : 0 + 225 -> 225
Job 4 Operation 0 on Machine 5 : 0 + 173 -> 173
Job 1 Operation 0 on Machine 7 : 0 + 222 -> 222
Job 7 Operation 0 on Machine 8 : 0 + 247 -> 247
Job 1 Operation 1 on Machine 2 : 222 + 83 -> 305
Job 7 Operation 1 on Machine 4 : 247 + 119 -> 366
Job 3 Operation 1 on Machine 1 : 302 + 336 -> 638
Job 6 Operation 1 on Machine 5 : 302 + 67 -> 369
Job 5 Operation 0 on Machine 2 : 305 + 166 -> 471
Job 1 Operation 2 on Machine 3 : 305 + 83 -> 388
Job 4 Operation 1 on Machine 0 : 314 + 223 -> 537
Job 7 Operation 2 on Machine 7 : 366 + 18 -> 384
Job 2 Operation 1 on Machine 5 : 369 + 336 -> 705
Job 6 Operation 2 on Machine 6 : 369 + 136 -> 505
Job 6 Operation 3 on Machine 7 : 505 + 196 -> 701
Job 7 Operation 3 on Machine 0 : 537 + 298 -> 835
Job 4 Operation 2 on Machine 2 : 537 + 266 -> 803
Job 8 Operation 0 on Machine 1 : 638 + 28 -> 666
Job 3 Operation 2 on Machine 8 : 638 + 247 -> 885
Job 8 Operation 1 on Machine 3 : 666 + 166 -> 832
Job 1 Operation 3 on Machine 5 : 705 + 7 -> 712
Job 4 Operation 3 on Machine 1 : 803 + 312 -> 1115
Job 5 Operation 1 on Machine 0 : 835 + 315 -> 1150
Job 7 Operation 4 on Machine 3 : 835 + 17 -> 852
Job 7 Operation 5 on Machine 2 : 852 + 180 -> 1032
Job 2 Operation 2 on Machine 3 : 852 + 231 -> 1083
Job 3 Operation 3 on Machine 4 : 885 + 222 -> 1107
Job 1 Operation 4 on Machine 8 : 885 + 257 -> 1142
Job 6 Operation 4 on Machine 2 : 1032 + 313 -> 1345
Job 7 Operation 6 on Machine 6 : 1032 + 274 -> 1306
Job 3 Operation 4 on Machine 5 : 1107 + 246 -> 1353
Job 2 Operation 3 on Machine 1 : 1115 + 116 -> 1231
Job 4 Operation 4 on Machine 8 : 1142 + 93 -> 1235
Job 8 Operation 2 on Machine 0 : 1150 + 164 -> 1314
Job 5 Operation 2 on Machine 4 : 1150 + 149 -> 1299
Job 0 Operation 1 on Machine 1 : 1231 + 200 -> 1431
Job 2 Operation 4 on Machine 8 : 1235 + 176 -> 1411
Job 4 Operation 5 on Machine 6 : 1306 + 236 -> 1542
Job 1 Operation 5 on Machine 0 : 1314 + 311 -> 1625
Job 3 Operation 5 on Machine 2 : 1353 + 206 -> 1559
Job 8 Operation 3 on Machine 5 : 1353 + 119 -> 1472
Job 2 Operation 5 on Machine 4 : 1411 + 77 -> 1488
Job 5 Operation 3 on Machine 8 : 1411 + 149 -> 1560
Job 8 Operation 4 on Machine 4 : 1488 + 320 -> 1808
Job 2 Operation 6 on Machine 2 : 1559 + 139 -> 1698
Job 3 Operation 6 on Machine 6 : 1559 + 270 -> 1829
Job 5 Operation 4 on Machine 7 : 1560 + 247 -> 1807
Job 0 Operation 2 on Machine 8 : 1560 + 276 -> 1836
Job 1 Operation 6 on Machine 1 : 1625 + 238 -> 1863
Job 5 Operation 5 on Machine 3 : 1807 + 22 -> 1829
Job 8 Operation 5 on Machine 7 : 1808 + 103 -> 1911
Job 3 Operation 7 on Machine 0 : 1829 + 95 -> 1924
Job 5 Operation 6 on Machine 6 : 1829 + 308 -> 2137
Job 0 Operation 3 on Machine 3 : 1836 + 58 -> 1894
Job 6 Operation 5 on Machine 8 : 1836 + 298 -> 2134
Job 7 Operation 7 on Machine 1 : 1863 + 242 -> 2105
Job 1 Operation 7 on Machine 4 : 1863 + 31 -> 1894
Job 4 Operation 6 on Machine 3 : 1894 + 267 -> 2161
Job 0 Operation 4 on Machine 5 : 1894 + 18 -> 1912
Job 2 Operation 7 on Machine 7 : 1911 + 247 -> 2158
Job 0 Operation 5 on Machine 4 : 1912 + 274 -> 2186
Job 7 Operation 8 on Machine 5 : 2105 + 329 -> 2434
Job 8 Operation 6 on Machine 8 : 2134 + 169 -> 2303
Job 5 Operation 7 on Machine 1 : 2137 + 320 -> 2457
Job 1 Operation 8 on Machine 6 : 2137 + 51 -> 2188
Job 3 Operation 8 on Machine 7 : 2158 + 209 -> 2367
Job 6 Operation 6 on Machine 3 : 2161 + 189 -> 2350
Job 0 Operation 6 on Machine 0 : 2186 + 194 -> 2380
Job 4 Operation 7 on Machine 4 : 2186 + 46 -> 2232
Job 2 Operation 8 on Machine 6 : 2188 + 285 -> 2473
Job 8 Operation 7 on Machine 2 : 2303 + 329 -> 2632
Job 6 Operation 7 on Machine 0 : 2380 + 155 -> 2535
Job 0 Operation 7 on Machine 7 : 2380 + 78 -> 2458
Job 5 Operation 8 on Machine 5 : 2457 + 75 -> 2532
Job 4 Operation 8 on Machine 7 : 2458 + 221 -> 2679
Job 0 Operation 8 on Machine 6 : 2473 + 193 -> 2666
Job 6 Operation 8 on Machine 4 : 2535 + 209 -> 2744
Job 8 Operation 8 on Machine 6 : 2666 + 225 -> 2891
Makespan: 2891.0, as it is the maximum end completion time of Operation 8
| null |
|
10 | 6 |
Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 9 mins.
Operation 1 on Machine 4 duration 21 mins.
Operation 2 on Machine 5 duration 99 mins.
Operation 3 on Machine 3 duration 100 mins.
Operation 4 on Machine 0 duration 12 mins.
Operation 5 on Machine 1 duration 43 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 13 mins.
Operation 1 on Machine 4 duration 42 mins.
Operation 2 on Machine 0 duration 23 mins.
Operation 3 on Machine 5 duration 26 mins.
Operation 4 on Machine 3 duration 51 mins.
Operation 5 on Machine 1 duration 54 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 58 mins.
Operation 1 on Machine 0 duration 95 mins.
Operation 2 on Machine 1 duration 39 mins.
Operation 3 on Machine 2 duration 48 mins.
Operation 4 on Machine 4 duration 91 mins.
Operation 5 on Machine 5 duration 66 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 37 mins.
Operation 1 on Machine 2 duration 35 mins.
Operation 2 on Machine 3 duration 30 mins.
Operation 3 on Machine 5 duration 31 mins.
Operation 4 on Machine 4 duration 20 mins.
Operation 5 on Machine 0 duration 55 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 21 mins.
Operation 1 on Machine 3 duration 31 mins.
Operation 2 on Machine 4 duration 26 mins.
Operation 3 on Machine 2 duration 91 mins.
Operation 4 on Machine 1 duration 62 mins.
Operation 5 on Machine 5 duration 6 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 62 mins.
Operation 1 on Machine 2 duration 99 mins.
Operation 2 on Machine 3 duration 24 mins.
Operation 3 on Machine 4 duration 20 mins.
Operation 4 on Machine 5 duration 60 mins.
Operation 5 on Machine 0 duration 40 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 89 mins.
Operation 1 on Machine 3 duration 3 mins.
Operation 2 on Machine 2 duration 51 mins.
Operation 3 on Machine 4 duration 91 mins.
Operation 4 on Machine 1 duration 54 mins.
Operation 5 on Machine 5 duration 37 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 85 mins.
Operation 1 on Machine 1 duration 71 mins.
Operation 2 on Machine 5 duration 19 mins.
Operation 3 on Machine 4 duration 6 mins.
Operation 4 on Machine 3 duration 54 mins.
Operation 5 on Machine 0 duration 40 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 60 mins.
Operation 1 on Machine 4 duration 20 mins.
Operation 2 on Machine 2 duration 62 mins.
Operation 3 on Machine 0 duration 67 mins.
Operation 4 on Machine 3 duration 39 mins.
Operation 5 on Machine 1 duration 21 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 57 mins.
Operation 1 on Machine 1 duration 2 mins.
Operation 2 on Machine 2 duration 86 mins.
Operation 3 on Machine 0 duration 41 mins.
Operation 4 on Machine 3 duration 52 mins.
Operation 5 on Machine 5 duration 16 mins.
| null |
Optimize schedule for 10 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 21 mins.
Job 6 Operation 0 duration 89 mins.
Job 2 Operation 1 duration 95 mins.
Job 1 Operation 2 duration 23 mins.
Job 8 Operation 3 duration 67 mins.
Job 9 Operation 3 duration 41 mins.
Job 0 Operation 4 duration 12 mins.
Job 3 Operation 5 duration 55 mins.
Job 5 Operation 5 duration 40 mins.
Job 7 Operation 5 duration 40 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 37 mins.
Job 5 Operation 0 duration 62 mins.
Job 7 Operation 1 duration 71 mins.
Job 9 Operation 1 duration 2 mins.
Job 2 Operation 2 duration 39 mins.
Job 4 Operation 4 duration 62 mins.
Job 6 Operation 4 duration 54 mins.
Job 0 Operation 5 duration 43 mins.
Job 1 Operation 5 duration 54 mins.
Job 8 Operation 5 duration 21 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 9 mins.
Job 1 Operation 0 duration 13 mins.
Job 7 Operation 0 duration 85 mins.
Job 3 Operation 1 duration 35 mins.
Job 5 Operation 1 duration 99 mins.
Job 6 Operation 2 duration 51 mins.
Job 8 Operation 2 duration 62 mins.
Job 9 Operation 2 duration 86 mins.
Job 2 Operation 3 duration 48 mins.
Job 4 Operation 3 duration 91 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 58 mins.
Job 4 Operation 1 duration 31 mins.
Job 6 Operation 1 duration 3 mins.
Job 3 Operation 2 duration 30 mins.
Job 5 Operation 2 duration 24 mins.
Job 0 Operation 3 duration 100 mins.
Job 1 Operation 4 duration 51 mins.
Job 7 Operation 4 duration 54 mins.
Job 8 Operation 4 duration 39 mins.
Job 9 Operation 4 duration 52 mins.
Machine 4 is used for the following Operations:
Job 9 Operation 0 duration 57 mins.
Job 0 Operation 1 duration 21 mins.
Job 1 Operation 1 duration 42 mins.
Job 8 Operation 1 duration 20 mins.
Job 4 Operation 2 duration 26 mins.
Job 5 Operation 3 duration 20 mins.
Job 6 Operation 3 duration 91 mins.
Job 7 Operation 3 duration 6 mins.
Job 2 Operation 4 duration 91 mins.
Job 3 Operation 4 duration 20 mins.
Machine 5 is used for the following Operations:
Job 8 Operation 0 duration 60 mins.
Job 0 Operation 2 duration 99 mins.
Job 7 Operation 2 duration 19 mins.
Job 1 Operation 3 duration 26 mins.
Job 3 Operation 3 duration 31 mins.
Job 5 Operation 4 duration 60 mins.
Job 2 Operation 5 duration 66 mins.
Job 4 Operation 5 duration 6 mins.
Job 6 Operation 5 duration 37 mins.
Job 9 Operation 5 duration 16 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 89 -> 89
Job 3 Operation 0 on Machine 1 : 0 + 37 -> 37
Job 0 Operation 0 on Machine 2 : 0 + 9 -> 9
Job 2 Operation 0 on Machine 3 : 0 + 58 -> 58
Job 7 Operation 0 on Machine 2 : 9 + 85 -> 94
Job 0 Operation 1 on Machine 4 : 9 + 21 -> 30
Job 9 Operation 0 on Machine 4 : 30 + 57 -> 87
Job 0 Operation 2 on Machine 5 : 30 + 99 -> 129
Job 5 Operation 0 on Machine 1 : 37 + 62 -> 99
Job 2 Operation 1 on Machine 0 : 89 + 95 -> 184
Job 6 Operation 1 on Machine 3 : 89 + 3 -> 92
Job 6 Operation 2 on Machine 2 : 94 + 51 -> 145
Job 9 Operation 1 on Machine 1 : 99 + 2 -> 101
Job 7 Operation 1 on Machine 1 : 101 + 71 -> 172
Job 0 Operation 3 on Machine 3 : 129 + 100 -> 229
Job 9 Operation 2 on Machine 2 : 145 + 86 -> 231
Job 6 Operation 3 on Machine 4 : 145 + 91 -> 236
Job 7 Operation 2 on Machine 5 : 172 + 19 -> 191
Job 4 Operation 0 on Machine 0 : 184 + 21 -> 205
Job 2 Operation 2 on Machine 1 : 184 + 39 -> 223
Job 8 Operation 0 on Machine 5 : 191 + 60 -> 251
Job 9 Operation 3 on Machine 0 : 231 + 41 -> 272
Job 2 Operation 3 on Machine 2 : 231 + 48 -> 279
Job 6 Operation 4 on Machine 1 : 236 + 54 -> 290
Job 7 Operation 3 on Machine 4 : 236 + 6 -> 242
Job 7 Operation 4 on Machine 3 : 242 + 54 -> 296
Job 8 Operation 1 on Machine 4 : 251 + 20 -> 271
Job 0 Operation 4 on Machine 0 : 272 + 12 -> 284
Job 1 Operation 0 on Machine 2 : 279 + 13 -> 292
Job 0 Operation 5 on Machine 1 : 290 + 43 -> 333
Job 6 Operation 5 on Machine 5 : 290 + 37 -> 327
Job 3 Operation 1 on Machine 2 : 292 + 35 -> 327
Job 1 Operation 1 on Machine 4 : 292 + 42 -> 334
Job 4 Operation 1 on Machine 3 : 296 + 31 -> 327
Job 8 Operation 2 on Machine 2 : 327 + 62 -> 389
Job 3 Operation 2 on Machine 3 : 327 + 30 -> 357
Job 1 Operation 2 on Machine 0 : 334 + 23 -> 357
Job 2 Operation 4 on Machine 4 : 334 + 91 -> 425
Job 1 Operation 3 on Machine 5 : 357 + 26 -> 383
Job 1 Operation 4 on Machine 3 : 383 + 51 -> 434
Job 3 Operation 3 on Machine 5 : 383 + 31 -> 414
Job 8 Operation 3 on Machine 0 : 389 + 67 -> 456
Job 5 Operation 1 on Machine 2 : 389 + 99 -> 488
Job 3 Operation 4 on Machine 4 : 425 + 20 -> 445
Job 2 Operation 5 on Machine 5 : 425 + 66 -> 491
Job 1 Operation 5 on Machine 1 : 434 + 54 -> 488
Job 9 Operation 4 on Machine 3 : 434 + 52 -> 486
Job 4 Operation 2 on Machine 4 : 445 + 26 -> 471
Job 3 Operation 5 on Machine 0 : 456 + 55 -> 511
Job 4 Operation 3 on Machine 2 : 488 + 91 -> 579
Job 5 Operation 2 on Machine 3 : 488 + 24 -> 512
Job 9 Operation 5 on Machine 5 : 491 + 16 -> 507
Job 7 Operation 5 on Machine 0 : 511 + 40 -> 551
Job 8 Operation 4 on Machine 3 : 512 + 39 -> 551
Job 5 Operation 3 on Machine 4 : 512 + 20 -> 532
Job 5 Operation 4 on Machine 5 : 532 + 60 -> 592
Job 8 Operation 5 on Machine 1 : 551 + 21 -> 572
Job 4 Operation 4 on Machine 1 : 579 + 62 -> 641
Job 5 Operation 5 on Machine 0 : 592 + 40 -> 632
Job 4 Operation 5 on Machine 5 : 641 + 6 -> 647
Makespan: 647.0, as it is the maximum end completion time of Operation 5
| null |
|
4 | 3 |
Optimize schedule for 4 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 11 mins.
Operation 1 on Machine 1 duration 121 mins.
Operation 2 on Machine 0 duration 23 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 10 mins.
Operation 1 on Machine 2 duration 101 mins.
Operation 2 on Machine 0 duration 141 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 134 mins.
Operation 1 on Machine 0 duration 9 mins.
Operation 2 on Machine 2 duration 134 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 96 mins.
Operation 1 on Machine 1 duration 103 mins.
Operation 2 on Machine 2 duration 119 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 96 mins.
Job 2 Operation 1 duration 9 mins.
Job 0 Operation 2 duration 23 mins.
Job 1 Operation 2 duration 141 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 10 mins.
Job 2 Operation 0 duration 134 mins.
Job 0 Operation 1 duration 121 mins.
Job 3 Operation 1 duration 103 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 11 mins.
Job 1 Operation 1 duration 101 mins.
Job 2 Operation 2 duration 134 mins.
Job 3 Operation 2 duration 119 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 96 -> 96
Job 1 Operation 0 on Machine 1 : 0 + 10 -> 10
Job 0 Operation 0 on Machine 2 : 0 + 11 -> 11
Job 2 Operation 0 on Machine 1 : 10 + 134 -> 144
Job 1 Operation 1 on Machine 2 : 11 + 101 -> 112
Job 2 Operation 1 on Machine 0 : 144 + 9 -> 153
Job 3 Operation 1 on Machine 1 : 144 + 103 -> 247
Job 1 Operation 2 on Machine 0 : 153 + 141 -> 294
Job 2 Operation 2 on Machine 2 : 153 + 134 -> 287
Job 0 Operation 1 on Machine 1 : 247 + 121 -> 368
Job 3 Operation 2 on Machine 2 : 287 + 119 -> 406
Job 0 Operation 2 on Machine 0 : 368 + 23 -> 391
Makespan: 406.0, as it is the maximum end completion time of Operation 2
| null |
|
10 | 4 |
Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 125 mins.
Operation 1 on Machine 1 duration 163 mins.
Operation 2 on Machine 2 duration 134 mins.
Operation 3 on Machine 3 duration 179 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 41 mins.
Operation 1 on Machine 1 duration 80 mins.
Operation 2 on Machine 3 duration 187 mins.
Operation 3 on Machine 0 duration 124 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 140 mins.
Operation 1 on Machine 3 duration 193 mins.
Operation 2 on Machine 2 duration 61 mins.
Operation 3 on Machine 0 duration 115 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 214 mins.
Operation 1 on Machine 1 duration 152 mins.
Operation 2 on Machine 0 duration 201 mins.
Operation 3 on Machine 3 duration 174 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 15 mins.
Operation 1 on Machine 3 duration 73 mins.
Operation 2 on Machine 1 duration 49 mins.
Operation 3 on Machine 0 duration 155 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 169 mins.
Operation 1 on Machine 1 duration 157 mins.
Operation 2 on Machine 3 duration 114 mins.
Operation 3 on Machine 2 duration 48 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 184 mins.
Operation 1 on Machine 1 duration 196 mins.
Operation 2 on Machine 0 duration 87 mins.
Operation 3 on Machine 2 duration 139 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 109 mins.
Operation 1 on Machine 1 duration 181 mins.
Operation 2 on Machine 2 duration 168 mins.
Operation 3 on Machine 0 duration 181 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 175 mins.
Operation 1 on Machine 0 duration 117 mins.
Operation 2 on Machine 2 duration 24 mins.
Operation 3 on Machine 1 duration 6 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 1 mins.
Operation 1 on Machine 1 duration 177 mins.
Operation 2 on Machine 0 duration 44 mins.
Operation 3 on Machine 3 duration 33 mins.
| null |
Optimize schedule for 10 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 125 mins.
Job 5 Operation 0 duration 169 mins.
Job 8 Operation 1 duration 117 mins.
Job 3 Operation 2 duration 201 mins.
Job 6 Operation 2 duration 87 mins.
Job 9 Operation 2 duration 44 mins.
Job 1 Operation 3 duration 124 mins.
Job 2 Operation 3 duration 115 mins.
Job 4 Operation 3 duration 155 mins.
Job 7 Operation 3 duration 181 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 140 mins.
Job 0 Operation 1 duration 163 mins.
Job 1 Operation 1 duration 80 mins.
Job 3 Operation 1 duration 152 mins.
Job 5 Operation 1 duration 157 mins.
Job 6 Operation 1 duration 196 mins.
Job 7 Operation 1 duration 181 mins.
Job 9 Operation 1 duration 177 mins.
Job 4 Operation 2 duration 49 mins.
Job 8 Operation 3 duration 6 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 41 mins.
Job 3 Operation 0 duration 214 mins.
Job 4 Operation 0 duration 15 mins.
Job 9 Operation 0 duration 1 mins.
Job 0 Operation 2 duration 134 mins.
Job 2 Operation 2 duration 61 mins.
Job 7 Operation 2 duration 168 mins.
Job 8 Operation 2 duration 24 mins.
Job 5 Operation 3 duration 48 mins.
Job 6 Operation 3 duration 139 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 184 mins.
Job 7 Operation 0 duration 109 mins.
Job 8 Operation 0 duration 175 mins.
Job 2 Operation 1 duration 193 mins.
Job 4 Operation 1 duration 73 mins.
Job 1 Operation 2 duration 187 mins.
Job 5 Operation 2 duration 114 mins.
Job 0 Operation 3 duration 179 mins.
Job 3 Operation 3 duration 174 mins.
Job 9 Operation 3 duration 33 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 169 -> 169
Job 2 Operation 0 on Machine 1 : 0 + 140 -> 140
Job 9 Operation 0 on Machine 2 : 0 + 1 -> 1
Job 7 Operation 0 on Machine 3 : 0 + 109 -> 109
Job 4 Operation 0 on Machine 2 : 1 + 15 -> 16
Job 1 Operation 0 on Machine 2 : 16 + 41 -> 57
Job 3 Operation 0 on Machine 2 : 57 + 214 -> 271
Job 8 Operation 0 on Machine 3 : 109 + 175 -> 284
Job 7 Operation 1 on Machine 1 : 140 + 181 -> 321
Job 0 Operation 0 on Machine 0 : 169 + 125 -> 294
Job 4 Operation 1 on Machine 3 : 284 + 73 -> 357
Job 8 Operation 1 on Machine 0 : 294 + 117 -> 411
Job 7 Operation 2 on Machine 2 : 321 + 168 -> 489
Job 4 Operation 2 on Machine 1 : 357 + 49 -> 406
Job 2 Operation 1 on Machine 3 : 357 + 193 -> 550
Job 3 Operation 1 on Machine 1 : 406 + 152 -> 558
Job 4 Operation 3 on Machine 0 : 411 + 155 -> 566
Job 2 Operation 2 on Machine 2 : 550 + 61 -> 611
Job 6 Operation 0 on Machine 3 : 550 + 184 -> 734
Job 1 Operation 1 on Machine 1 : 558 + 80 -> 638
Job 3 Operation 2 on Machine 0 : 566 + 201 -> 767
Job 0 Operation 1 on Machine 1 : 638 + 163 -> 801
Job 1 Operation 2 on Machine 3 : 734 + 187 -> 921
Job 7 Operation 3 on Machine 0 : 767 + 181 -> 948
Job 5 Operation 1 on Machine 1 : 801 + 157 -> 958
Job 0 Operation 2 on Machine 2 : 801 + 134 -> 935
Job 3 Operation 3 on Machine 3 : 921 + 174 -> 1095
Job 8 Operation 2 on Machine 2 : 935 + 24 -> 959
Job 1 Operation 3 on Machine 0 : 948 + 124 -> 1072
Job 6 Operation 1 on Machine 1 : 958 + 196 -> 1154
Job 2 Operation 3 on Machine 0 : 1072 + 115 -> 1187
Job 5 Operation 2 on Machine 3 : 1095 + 114 -> 1209
Job 9 Operation 1 on Machine 1 : 1154 + 177 -> 1331
Job 6 Operation 2 on Machine 0 : 1187 + 87 -> 1274
Job 5 Operation 3 on Machine 2 : 1209 + 48 -> 1257
Job 0 Operation 3 on Machine 3 : 1209 + 179 -> 1388
Job 6 Operation 3 on Machine 2 : 1274 + 139 -> 1413
Job 9 Operation 2 on Machine 0 : 1331 + 44 -> 1375
Job 8 Operation 3 on Machine 1 : 1331 + 6 -> 1337
Job 9 Operation 3 on Machine 3 : 1388 + 33 -> 1421
Makespan: 1421.0, 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 0 duration 24 mins.
Operation 1 on Machine 2 duration 304 mins.
Operation 2 on Machine 1 duration 215 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 157 mins.
Operation 1 on Machine 2 duration 224 mins.
Operation 2 on Machine 0 duration 198 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 62 mins.
Operation 1 on Machine 1 duration 171 mins.
Operation 2 on Machine 0 duration 32 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 26 mins.
Operation 1 on Machine 2 duration 190 mins.
Operation 2 on Machine 0 duration 160 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 191 mins.
Operation 1 on Machine 2 duration 55 mins.
Operation 2 on Machine 0 duration 196 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 214 mins.
Operation 1 on Machine 2 duration 35 mins.
Operation 2 on Machine 1 duration 232 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 44 mins.
Operation 1 on Machine 2 duration 334 mins.
Operation 2 on Machine 0 duration 169 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 292 mins.
Operation 1 on Machine 1 duration 108 mins.
Operation 2 on Machine 0 duration 315 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 203 mins.
Operation 1 on Machine 0 duration 164 mins.
Operation 2 on Machine 2 duration 259 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 0 Operation 0 duration 24 mins.
Job 5 Operation 0 duration 214 mins.
Job 8 Operation 1 duration 164 mins.
Job 1 Operation 2 duration 198 mins.
Job 2 Operation 2 duration 32 mins.
Job 3 Operation 2 duration 160 mins.
Job 4 Operation 2 duration 196 mins.
Job 6 Operation 2 duration 169 mins.
Job 7 Operation 2 duration 315 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 157 mins.
Job 3 Operation 0 duration 26 mins.
Job 4 Operation 0 duration 191 mins.
Job 6 Operation 0 duration 44 mins.
Job 8 Operation 0 duration 203 mins.
Job 2 Operation 1 duration 171 mins.
Job 7 Operation 1 duration 108 mins.
Job 0 Operation 2 duration 215 mins.
Job 5 Operation 2 duration 232 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 62 mins.
Job 7 Operation 0 duration 292 mins.
Job 0 Operation 1 duration 304 mins.
Job 1 Operation 1 duration 224 mins.
Job 3 Operation 1 duration 190 mins.
Job 4 Operation 1 duration 55 mins.
Job 5 Operation 1 duration 35 mins.
Job 6 Operation 1 duration 334 mins.
Job 8 Operation 2 duration 259 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 24 -> 24
Job 6 Operation 0 on Machine 1 : 0 + 44 -> 44
Job 2 Operation 0 on Machine 2 : 0 + 62 -> 62
Job 2 Operation 1 on Machine 1 : 62 + 171 -> 233
Job 6 Operation 1 on Machine 2 : 62 + 334 -> 396
Job 2 Operation 2 on Machine 0 : 233 + 32 -> 265
Job 1 Operation 0 on Machine 1 : 233 + 157 -> 390
Job 5 Operation 0 on Machine 0 : 265 + 214 -> 479
Job 3 Operation 0 on Machine 1 : 390 + 26 -> 416
Job 1 Operation 1 on Machine 2 : 396 + 224 -> 620
Job 8 Operation 0 on Machine 1 : 416 + 203 -> 619
Job 6 Operation 2 on Machine 0 : 479 + 169 -> 648
Job 4 Operation 0 on Machine 1 : 619 + 191 -> 810
Job 7 Operation 0 on Machine 2 : 620 + 292 -> 912
Job 8 Operation 1 on Machine 0 : 648 + 164 -> 812
Job 1 Operation 2 on Machine 0 : 812 + 198 -> 1010
Job 7 Operation 1 on Machine 1 : 912 + 108 -> 1020
Job 3 Operation 1 on Machine 2 : 912 + 190 -> 1102
Job 7 Operation 2 on Machine 0 : 1020 + 315 -> 1335
Job 5 Operation 1 on Machine 2 : 1102 + 35 -> 1137
Job 5 Operation 2 on Machine 1 : 1137 + 232 -> 1369
Job 0 Operation 1 on Machine 2 : 1137 + 304 -> 1441
Job 3 Operation 2 on Machine 0 : 1335 + 160 -> 1495
Job 0 Operation 2 on Machine 1 : 1441 + 215 -> 1656
Job 4 Operation 1 on Machine 2 : 1441 + 55 -> 1496
Job 4 Operation 2 on Machine 0 : 1496 + 196 -> 1692
Job 8 Operation 2 on Machine 2 : 1496 + 259 -> 1755
Makespan: 1755.0, as it is the maximum end completion time of Operation 2
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 6 duration 269 mins.
Operation 1 on Machine 7 duration 320 mins.
Operation 2 on Machine 2 duration 173 mins.
Operation 3 on Machine 1 duration 455 mins.
Operation 4 on Machine 9 duration 362 mins.
Operation 5 on Machine 5 duration 462 mins.
Operation 6 on Machine 10 duration 439 mins.
Operation 7 on Machine 0 duration 434 mins.
Operation 8 on Machine 4 duration 20 mins.
Operation 9 on Machine 3 duration 451 mins.
Operation 10 on Machine 11 duration 266 mins.
Operation 11 on Machine 8 duration 222 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 207 mins.
Operation 1 on Machine 3 duration 163 mins.
Operation 2 on Machine 5 duration 154 mins.
Operation 3 on Machine 4 duration 90 mins.
Operation 4 on Machine 6 duration 64 mins.
Operation 5 on Machine 7 duration 14 mins.
Operation 6 on Machine 1 duration 379 mins.
Operation 7 on Machine 2 duration 54 mins.
Operation 8 on Machine 9 duration 466 mins.
Operation 9 on Machine 11 duration 148 mins.
Operation 10 on Machine 10 duration 24 mins.
Operation 11 on Machine 8 duration 179 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 8 duration 460 mins.
Operation 1 on Machine 1 duration 75 mins.
Operation 2 on Machine 4 duration 334 mins.
Operation 3 on Machine 3 duration 437 mins.
Operation 4 on Machine 0 duration 97 mins.
Operation 5 on Machine 2 duration 115 mins.
Operation 6 on Machine 9 duration 135 mins.
Operation 7 on Machine 7 duration 274 mins.
Operation 8 on Machine 6 duration 16 mins.
Operation 9 on Machine 11 duration 189 mins.
Operation 10 on Machine 10 duration 206 mins.
Operation 11 on Machine 5 duration 260 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 11 duration 412 mins.
Operation 1 on Machine 0 duration 450 mins.
Operation 2 on Machine 1 duration 407 mins.
Operation 3 on Machine 7 duration 410 mins.
Operation 4 on Machine 10 duration 223 mins.
Operation 5 on Machine 6 duration 312 mins.
Operation 6 on Machine 5 duration 436 mins.
Operation 7 on Machine 9 duration 248 mins.
Operation 8 on Machine 8 duration 118 mins.
Operation 9 on Machine 2 duration 330 mins.
Operation 10 on Machine 4 duration 149 mins.
Operation 11 on Machine 3 duration 230 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 11 duration 248 mins.
Operation 1 on Machine 2 duration 247 mins.
Operation 2 on Machine 3 duration 235 mins.
Operation 3 on Machine 5 duration 290 mins.
Operation 4 on Machine 1 duration 248 mins.
Operation 5 on Machine 0 duration 325 mins.
Operation 6 on Machine 10 duration 457 mins.
Operation 7 on Machine 9 duration 62 mins.
Operation 8 on Machine 7 duration 156 mins.
Operation 9 on Machine 4 duration 225 mins.
Operation 10 on Machine 6 duration 191 mins.
Operation 11 on Machine 8 duration 81 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 225 mins.
Operation 1 on Machine 6 duration 453 mins.
Operation 2 on Machine 9 duration 88 mins.
Operation 3 on Machine 8 duration 136 mins.
Operation 4 on Machine 0 duration 309 mins.
Operation 5 on Machine 10 duration 454 mins.
Operation 6 on Machine 7 duration 105 mins.
Operation 7 on Machine 1 duration 248 mins.
Operation 8 on Machine 4 duration 437 mins.
Operation 9 on Machine 5 duration 415 mins.
Operation 10 on Machine 3 duration 162 mins.
Operation 11 on Machine 11 duration 26 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 219 mins.
Operation 1 on Machine 11 duration 148 mins.
Operation 2 on Machine 0 duration 5 mins.
Operation 3 on Machine 5 duration 203 mins.
Operation 4 on Machine 3 duration 458 mins.
Operation 5 on Machine 6 duration 127 mins.
Operation 6 on Machine 1 duration 2 mins.
Operation 7 on Machine 7 duration 157 mins.
Operation 8 on Machine 10 duration 42 mins.
Operation 9 on Machine 2 duration 464 mins.
Operation 10 on Machine 8 duration 379 mins.
Operation 11 on Machine 9 duration 435 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 8 duration 365 mins.
Operation 1 on Machine 5 duration 325 mins.
Operation 2 on Machine 4 duration 236 mins.
Operation 3 on Machine 9 duration 319 mins.
Operation 4 on Machine 0 duration 38 mins.
Operation 5 on Machine 2 duration 1 mins.
Operation 6 on Machine 3 duration 395 mins.
Operation 7 on Machine 6 duration 375 mins.
Operation 8 on Machine 7 duration 154 mins.
Operation 9 on Machine 10 duration 38 mins.
Operation 10 on Machine 1 duration 377 mins.
Operation 11 on Machine 11 duration 319 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 11 duration 166 mins.
Operation 1 on Machine 7 duration 426 mins.
Operation 2 on Machine 5 duration 18 mins.
Operation 3 on Machine 1 duration 123 mins.
Operation 4 on Machine 0 duration 157 mins.
Operation 5 on Machine 3 duration 241 mins.
Operation 6 on Machine 4 duration 257 mins.
Operation 7 on Machine 9 duration 282 mins.
Operation 8 on Machine 2 duration 91 mins.
Operation 9 on Machine 10 duration 71 mins.
Operation 10 on Machine 6 duration 27 mins.
Operation 11 on Machine 8 duration 25 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 436 mins.
Operation 1 on Machine 1 duration 73 mins.
Operation 2 on Machine 6 duration 224 mins.
Operation 3 on Machine 11 duration 43 mins.
Operation 4 on Machine 7 duration 57 mins.
Operation 5 on Machine 9 duration 381 mins.
Operation 6 on Machine 3 duration 171 mins.
Operation 7 on Machine 2 duration 468 mins.
Operation 8 on Machine 0 duration 288 mins.
Operation 9 on Machine 8 duration 229 mins.
Operation 10 on Machine 10 duration 61 mins.
Operation 11 on Machine 5 duration 108 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 5 duration 267 mins.
Operation 1 on Machine 7 duration 405 mins.
Operation 2 on Machine 6 duration 166 mins.
Operation 3 on Machine 1 duration 227 mins.
Operation 4 on Machine 2 duration 306 mins.
Operation 5 on Machine 10 duration 376 mins.
Operation 6 on Machine 0 duration 248 mins.
Operation 7 on Machine 4 duration 93 mins.
Operation 8 on Machine 3 duration 466 mins.
Operation 9 on Machine 9 duration 351 mins.
Operation 10 on Machine 11 duration 73 mins.
Operation 11 on Machine 8 duration 314 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 4 duration 16 mins.
Operation 1 on Machine 9 duration 156 mins.
Operation 2 on Machine 6 duration 179 mins.
Operation 3 on Machine 0 duration 443 mins.
Operation 4 on Machine 3 duration 156 mins.
Operation 5 on Machine 10 duration 120 mins.
Operation 6 on Machine 11 duration 44 mins.
Operation 7 on Machine 5 duration 15 mins.
Operation 8 on Machine 1 duration 268 mins.
Operation 9 on Machine 8 duration 321 mins.
Operation 10 on Machine 2 duration 405 mins.
Operation 11 on Machine 7 duration 130 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 207 mins.
Job 3 Operation 1 duration 450 mins.
Job 6 Operation 2 duration 5 mins.
Job 11 Operation 3 duration 443 mins.
Job 2 Operation 4 duration 97 mins.
Job 5 Operation 4 duration 309 mins.
Job 7 Operation 4 duration 38 mins.
Job 8 Operation 4 duration 157 mins.
Job 4 Operation 5 duration 325 mins.
Job 10 Operation 6 duration 248 mins.
Job 0 Operation 7 duration 434 mins.
Job 9 Operation 8 duration 288 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 1 duration 75 mins.
Job 9 Operation 1 duration 73 mins.
Job 3 Operation 2 duration 407 mins.
Job 0 Operation 3 duration 455 mins.
Job 8 Operation 3 duration 123 mins.
Job 10 Operation 3 duration 227 mins.
Job 4 Operation 4 duration 248 mins.
Job 1 Operation 6 duration 379 mins.
Job 6 Operation 6 duration 2 mins.
Job 5 Operation 7 duration 248 mins.
Job 11 Operation 8 duration 268 mins.
Job 7 Operation 10 duration 377 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 225 mins.
Job 4 Operation 1 duration 247 mins.
Job 0 Operation 2 duration 173 mins.
Job 10 Operation 4 duration 306 mins.
Job 2 Operation 5 duration 115 mins.
Job 7 Operation 5 duration 1 mins.
Job 1 Operation 7 duration 54 mins.
Job 9 Operation 7 duration 468 mins.
Job 8 Operation 8 duration 91 mins.
Job 3 Operation 9 duration 330 mins.
Job 6 Operation 9 duration 464 mins.
Job 11 Operation 10 duration 405 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 1 duration 163 mins.
Job 4 Operation 2 duration 235 mins.
Job 2 Operation 3 duration 437 mins.
Job 6 Operation 4 duration 458 mins.
Job 11 Operation 4 duration 156 mins.
Job 8 Operation 5 duration 241 mins.
Job 7 Operation 6 duration 395 mins.
Job 9 Operation 6 duration 171 mins.
Job 10 Operation 8 duration 466 mins.
Job 0 Operation 9 duration 451 mins.
Job 5 Operation 10 duration 162 mins.
Job 3 Operation 11 duration 230 mins.
Machine 4 is used for the following Operations:
Job 6 Operation 0 duration 219 mins.
Job 9 Operation 0 duration 436 mins.
Job 11 Operation 0 duration 16 mins.
Job 2 Operation 2 duration 334 mins.
Job 7 Operation 2 duration 236 mins.
Job 1 Operation 3 duration 90 mins.
Job 8 Operation 6 duration 257 mins.
Job 10 Operation 7 duration 93 mins.
Job 0 Operation 8 duration 20 mins.
Job 5 Operation 8 duration 437 mins.
Job 4 Operation 9 duration 225 mins.
Job 3 Operation 10 duration 149 mins.
Machine 5 is used for the following Operations:
Job 10 Operation 0 duration 267 mins.
Job 7 Operation 1 duration 325 mins.
Job 1 Operation 2 duration 154 mins.
Job 8 Operation 2 duration 18 mins.
Job 4 Operation 3 duration 290 mins.
Job 6 Operation 3 duration 203 mins.
Job 0 Operation 5 duration 462 mins.
Job 3 Operation 6 duration 436 mins.
Job 11 Operation 7 duration 15 mins.
Job 5 Operation 9 duration 415 mins.
Job 2 Operation 11 duration 260 mins.
Job 9 Operation 11 duration 108 mins.
Machine 6 is used for the following Operations:
Job 0 Operation 0 duration 269 mins.
Job 5 Operation 1 duration 453 mins.
Job 9 Operation 2 duration 224 mins.
Job 10 Operation 2 duration 166 mins.
Job 11 Operation 2 duration 179 mins.
Job 1 Operation 4 duration 64 mins.
Job 3 Operation 5 duration 312 mins.
Job 6 Operation 5 duration 127 mins.
Job 7 Operation 7 duration 375 mins.
Job 2 Operation 8 duration 16 mins.
Job 4 Operation 10 duration 191 mins.
Job 8 Operation 10 duration 27 mins.
Machine 7 is used for the following Operations:
Job 0 Operation 1 duration 320 mins.
Job 8 Operation 1 duration 426 mins.
Job 10 Operation 1 duration 405 mins.
Job 3 Operation 3 duration 410 mins.
Job 9 Operation 4 duration 57 mins.
Job 1 Operation 5 duration 14 mins.
Job 5 Operation 6 duration 105 mins.
Job 2 Operation 7 duration 274 mins.
Job 6 Operation 7 duration 157 mins.
Job 4 Operation 8 duration 156 mins.
Job 7 Operation 8 duration 154 mins.
Job 11 Operation 11 duration 130 mins.
Machine 8 is used for the following Operations:
Job 2 Operation 0 duration 460 mins.
Job 7 Operation 0 duration 365 mins.
Job 5 Operation 3 duration 136 mins.
Job 3 Operation 8 duration 118 mins.
Job 9 Operation 9 duration 229 mins.
Job 11 Operation 9 duration 321 mins.
Job 6 Operation 10 duration 379 mins.
Job 0 Operation 11 duration 222 mins.
Job 1 Operation 11 duration 179 mins.
Job 4 Operation 11 duration 81 mins.
Job 8 Operation 11 duration 25 mins.
Job 10 Operation 11 duration 314 mins.
Machine 9 is used for the following Operations:
Job 11 Operation 1 duration 156 mins.
Job 5 Operation 2 duration 88 mins.
Job 7 Operation 3 duration 319 mins.
Job 0 Operation 4 duration 362 mins.
Job 9 Operation 5 duration 381 mins.
Job 2 Operation 6 duration 135 mins.
Job 3 Operation 7 duration 248 mins.
Job 4 Operation 7 duration 62 mins.
Job 8 Operation 7 duration 282 mins.
Job 1 Operation 8 duration 466 mins.
Job 10 Operation 9 duration 351 mins.
Job 6 Operation 11 duration 435 mins.
Machine 10 is used for the following Operations:
Job 3 Operation 4 duration 223 mins.
Job 5 Operation 5 duration 454 mins.
Job 10 Operation 5 duration 376 mins.
Job 11 Operation 5 duration 120 mins.
Job 0 Operation 6 duration 439 mins.
Job 4 Operation 6 duration 457 mins.
Job 6 Operation 8 duration 42 mins.
Job 7 Operation 9 duration 38 mins.
Job 8 Operation 9 duration 71 mins.
Job 1 Operation 10 duration 24 mins.
Job 2 Operation 10 duration 206 mins.
Job 9 Operation 10 duration 61 mins.
Machine 11 is used for the following Operations:
Job 3 Operation 0 duration 412 mins.
Job 4 Operation 0 duration 248 mins.
Job 8 Operation 0 duration 166 mins.
Job 6 Operation 1 duration 148 mins.
Job 9 Operation 3 duration 43 mins.
Job 11 Operation 6 duration 44 mins.
Job 1 Operation 9 duration 148 mins.
Job 2 Operation 9 duration 189 mins.
Job 0 Operation 10 duration 266 mins.
Job 10 Operation 10 duration 73 mins.
Job 5 Operation 11 duration 26 mins.
Job 7 Operation 11 duration 319 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 207 -> 207
Job 5 Operation 0 on Machine 2 : 0 + 225 -> 225
Job 11 Operation 0 on Machine 4 : 0 + 16 -> 16
Job 10 Operation 0 on Machine 5 : 0 + 267 -> 267
Job 0 Operation 0 on Machine 6 : 0 + 269 -> 269
Job 2 Operation 0 on Machine 8 : 0 + 460 -> 460
Job 3 Operation 0 on Machine 11 : 0 + 412 -> 412
Job 6 Operation 0 on Machine 4 : 16 + 219 -> 235
Job 11 Operation 1 on Machine 9 : 16 + 156 -> 172
Job 1 Operation 1 on Machine 3 : 207 + 163 -> 370
Job 9 Operation 0 on Machine 4 : 235 + 436 -> 671
Job 5 Operation 1 on Machine 6 : 269 + 453 -> 722
Job 0 Operation 1 on Machine 7 : 269 + 320 -> 589
Job 1 Operation 2 on Machine 5 : 370 + 154 -> 524
Job 6 Operation 1 on Machine 11 : 412 + 148 -> 560
Job 2 Operation 1 on Machine 1 : 460 + 75 -> 535
Job 7 Operation 0 on Machine 8 : 460 + 365 -> 825
Job 6 Operation 2 on Machine 0 : 560 + 5 -> 565
Job 4 Operation 0 on Machine 11 : 560 + 248 -> 808
Job 3 Operation 1 on Machine 0 : 565 + 450 -> 1015
Job 6 Operation 3 on Machine 5 : 565 + 203 -> 768
Job 0 Operation 2 on Machine 2 : 589 + 173 -> 762
Job 10 Operation 1 on Machine 7 : 589 + 405 -> 994
Job 9 Operation 1 on Machine 1 : 671 + 73 -> 744
Job 1 Operation 3 on Machine 4 : 671 + 90 -> 761
Job 5 Operation 2 on Machine 9 : 722 + 88 -> 810
Job 9 Operation 2 on Machine 6 : 744 + 224 -> 968
Job 2 Operation 2 on Machine 4 : 761 + 334 -> 1095
Job 0 Operation 3 on Machine 1 : 762 + 455 -> 1217
Job 6 Operation 4 on Machine 3 : 768 + 458 -> 1226
Job 4 Operation 1 on Machine 2 : 808 + 247 -> 1055
Job 8 Operation 0 on Machine 11 : 808 + 166 -> 974
Job 7 Operation 1 on Machine 5 : 825 + 325 -> 1150
Job 5 Operation 3 on Machine 8 : 825 + 136 -> 961
Job 9 Operation 3 on Machine 11 : 974 + 43 -> 1017
Job 10 Operation 2 on Machine 6 : 994 + 166 -> 1160
Job 8 Operation 1 on Machine 7 : 994 + 426 -> 1420
Job 5 Operation 4 on Machine 0 : 1015 + 309 -> 1324
Job 7 Operation 2 on Machine 4 : 1150 + 236 -> 1386
Job 1 Operation 4 on Machine 6 : 1160 + 64 -> 1224
Job 10 Operation 3 on Machine 1 : 1217 + 227 -> 1444
Job 0 Operation 4 on Machine 9 : 1217 + 362 -> 1579
Job 2 Operation 3 on Machine 3 : 1226 + 437 -> 1663
Job 6 Operation 5 on Machine 6 : 1226 + 127 -> 1353
Job 5 Operation 5 on Machine 10 : 1324 + 454 -> 1778
Job 11 Operation 2 on Machine 6 : 1353 + 179 -> 1532
Job 8 Operation 2 on Machine 5 : 1420 + 18 -> 1438
Job 1 Operation 5 on Machine 7 : 1420 + 14 -> 1434
Job 9 Operation 4 on Machine 7 : 1434 + 57 -> 1491
Job 6 Operation 6 on Machine 1 : 1444 + 2 -> 1446
Job 10 Operation 4 on Machine 2 : 1444 + 306 -> 1750
Job 3 Operation 2 on Machine 1 : 1446 + 407 -> 1853
Job 6 Operation 7 on Machine 7 : 1491 + 157 -> 1648
Job 0 Operation 5 on Machine 5 : 1579 + 462 -> 2041
Job 9 Operation 5 on Machine 9 : 1579 + 381 -> 1960
Job 2 Operation 4 on Machine 0 : 1663 + 97 -> 1760
Job 4 Operation 2 on Machine 3 : 1663 + 235 -> 1898
Job 11 Operation 3 on Machine 0 : 1760 + 443 -> 2203
Job 2 Operation 5 on Machine 2 : 1760 + 115 -> 1875
Job 6 Operation 8 on Machine 10 : 1778 + 42 -> 1820
Job 10 Operation 5 on Machine 10 : 1820 + 376 -> 2196
Job 8 Operation 3 on Machine 1 : 1853 + 123 -> 1976
Job 3 Operation 3 on Machine 7 : 1853 + 410 -> 2263
Job 6 Operation 9 on Machine 2 : 1875 + 464 -> 2339
Job 9 Operation 6 on Machine 3 : 1960 + 171 -> 2131
Job 7 Operation 3 on Machine 9 : 1960 + 319 -> 2279
Job 1 Operation 6 on Machine 1 : 1976 + 379 -> 2355
Job 4 Operation 3 on Machine 5 : 2041 + 290 -> 2331
Job 8 Operation 4 on Machine 0 : 2203 + 157 -> 2360
Job 11 Operation 4 on Machine 3 : 2203 + 156 -> 2359
Job 5 Operation 6 on Machine 7 : 2263 + 105 -> 2368
Job 3 Operation 4 on Machine 10 : 2263 + 223 -> 2486
Job 2 Operation 6 on Machine 9 : 2279 + 135 -> 2414
Job 6 Operation 10 on Machine 8 : 2339 + 379 -> 2718
Job 4 Operation 4 on Machine 1 : 2355 + 248 -> 2603
Job 1 Operation 7 on Machine 2 : 2355 + 54 -> 2409
Job 10 Operation 6 on Machine 0 : 2360 + 248 -> 2608
Job 8 Operation 5 on Machine 3 : 2360 + 241 -> 2601
Job 2 Operation 7 on Machine 7 : 2414 + 274 -> 2688
Job 1 Operation 8 on Machine 9 : 2414 + 466 -> 2880
Job 3 Operation 5 on Machine 6 : 2486 + 312 -> 2798
Job 11 Operation 5 on Machine 10 : 2486 + 120 -> 2606
Job 8 Operation 6 on Machine 4 : 2601 + 257 -> 2858
Job 0 Operation 6 on Machine 10 : 2606 + 439 -> 3045
Job 11 Operation 6 on Machine 11 : 2606 + 44 -> 2650
Job 7 Operation 4 on Machine 0 : 2608 + 38 -> 2646
Job 4 Operation 5 on Machine 0 : 2646 + 325 -> 2971
Job 7 Operation 5 on Machine 2 : 2646 + 1 -> 2647
Job 9 Operation 7 on Machine 2 : 2647 + 468 -> 3115
Job 7 Operation 6 on Machine 3 : 2647 + 395 -> 3042
Job 11 Operation 7 on Machine 5 : 2650 + 15 -> 2665
Job 11 Operation 8 on Machine 1 : 2665 + 268 -> 2933
Job 3 Operation 6 on Machine 5 : 2798 + 436 -> 3234
Job 2 Operation 8 on Machine 6 : 2798 + 16 -> 2814
Job 2 Operation 9 on Machine 11 : 2814 + 189 -> 3003
Job 10 Operation 7 on Machine 4 : 2858 + 93 -> 2951
Job 8 Operation 7 on Machine 9 : 2880 + 282 -> 3162
Job 5 Operation 7 on Machine 1 : 2933 + 248 -> 3181
Job 11 Operation 9 on Machine 8 : 2933 + 321 -> 3254
Job 1 Operation 9 on Machine 11 : 3003 + 148 -> 3151
Job 10 Operation 8 on Machine 3 : 3042 + 466 -> 3508
Job 7 Operation 7 on Machine 6 : 3042 + 375 -> 3417
Job 0 Operation 7 on Machine 0 : 3045 + 434 -> 3479
Job 2 Operation 10 on Machine 10 : 3045 + 206 -> 3251
Job 8 Operation 8 on Machine 2 : 3162 + 91 -> 3253
Job 3 Operation 7 on Machine 9 : 3234 + 248 -> 3482
Job 2 Operation 11 on Machine 5 : 3251 + 260 -> 3511
Job 1 Operation 10 on Machine 10 : 3251 + 24 -> 3275
Job 1 Operation 11 on Machine 8 : 3275 + 179 -> 3454
Job 8 Operation 9 on Machine 10 : 3275 + 71 -> 3346
Job 4 Operation 6 on Machine 10 : 3346 + 457 -> 3803
Job 8 Operation 10 on Machine 6 : 3417 + 27 -> 3444
Job 7 Operation 8 on Machine 7 : 3417 + 154 -> 3571
Job 9 Operation 8 on Machine 0 : 3479 + 288 -> 3767
Job 0 Operation 8 on Machine 4 : 3479 + 20 -> 3499
Job 3 Operation 8 on Machine 8 : 3482 + 118 -> 3600
Job 5 Operation 8 on Machine 4 : 3499 + 437 -> 3936
Job 0 Operation 9 on Machine 3 : 3508 + 451 -> 3959
Job 10 Operation 9 on Machine 9 : 3508 + 351 -> 3859
Job 3 Operation 9 on Machine 2 : 3600 + 330 -> 3930
Job 8 Operation 11 on Machine 8 : 3600 + 25 -> 3625
Job 9 Operation 9 on Machine 8 : 3767 + 229 -> 3996
Job 7 Operation 9 on Machine 10 : 3803 + 38 -> 3841
Job 7 Operation 10 on Machine 1 : 3841 + 377 -> 4218
Job 4 Operation 7 on Machine 9 : 3859 + 62 -> 3921
Job 10 Operation 10 on Machine 11 : 3859 + 73 -> 3932
Job 4 Operation 8 on Machine 7 : 3921 + 156 -> 4077
Job 6 Operation 11 on Machine 9 : 3921 + 435 -> 4356
Job 11 Operation 10 on Machine 2 : 3930 + 405 -> 4335
Job 3 Operation 10 on Machine 4 : 3936 + 149 -> 4085
Job 5 Operation 9 on Machine 5 : 3936 + 415 -> 4351
Job 0 Operation 10 on Machine 11 : 3959 + 266 -> 4225
Job 10 Operation 11 on Machine 8 : 3996 + 314 -> 4310
Job 9 Operation 10 on Machine 10 : 3996 + 61 -> 4057
Job 3 Operation 11 on Machine 3 : 4085 + 230 -> 4315
Job 4 Operation 9 on Machine 4 : 4085 + 225 -> 4310
Job 7 Operation 11 on Machine 11 : 4225 + 319 -> 4544
Job 4 Operation 10 on Machine 6 : 4310 + 191 -> 4501
Job 0 Operation 11 on Machine 8 : 4310 + 222 -> 4532
Job 11 Operation 11 on Machine 7 : 4335 + 130 -> 4465
Job 5 Operation 10 on Machine 3 : 4351 + 162 -> 4513
Job 9 Operation 11 on Machine 5 : 4351 + 108 -> 4459
Job 4 Operation 11 on Machine 8 : 4532 + 81 -> 4613
Job 5 Operation 11 on Machine 11 : 4544 + 26 -> 4570
Makespan: 4613.0, as it is the maximum end completion time of Operation 11
| null |
|
8 | 5 |
Optimize schedule for 8 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 73 mins.
Operation 1 on Machine 4 duration 195 mins.
Operation 2 on Machine 0 duration 185 mins.
Operation 3 on Machine 3 duration 208 mins.
Operation 4 on Machine 2 duration 182 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 176 mins.
Operation 1 on Machine 0 duration 279 mins.
Operation 2 on Machine 1 duration 140 mins.
Operation 3 on Machine 4 duration 223 mins.
Operation 4 on Machine 3 duration 124 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 128 mins.
Operation 1 on Machine 3 duration 403 mins.
Operation 2 on Machine 1 duration 45 mins.
Operation 3 on Machine 0 duration 433 mins.
Operation 4 on Machine 2 duration 139 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 363 mins.
Operation 1 on Machine 0 duration 209 mins.
Operation 2 on Machine 2 duration 121 mins.
Operation 3 on Machine 4 duration 326 mins.
Operation 4 on Machine 3 duration 335 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 183 mins.
Operation 1 on Machine 1 duration 12 mins.
Operation 2 on Machine 3 duration 211 mins.
Operation 3 on Machine 2 duration 136 mins.
Operation 4 on Machine 0 duration 233 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 304 mins.
Operation 1 on Machine 4 duration 95 mins.
Operation 2 on Machine 2 duration 393 mins.
Operation 3 on Machine 0 duration 281 mins.
Operation 4 on Machine 3 duration 161 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 340 mins.
Operation 1 on Machine 2 duration 8 mins.
Operation 2 on Machine 0 duration 242 mins.
Operation 3 on Machine 1 duration 64 mins.
Operation 4 on Machine 4 duration 228 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 117 mins.
Operation 1 on Machine 0 duration 407 mins.
Operation 2 on Machine 1 duration 432 mins.
Operation 3 on Machine 2 duration 279 mins.
Operation 4 on Machine 4 duration 87 mins.
| null |
Optimize schedule for 8 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 279 mins.
Job 3 Operation 1 duration 209 mins.
Job 7 Operation 1 duration 407 mins.
Job 0 Operation 2 duration 185 mins.
Job 6 Operation 2 duration 242 mins.
Job 2 Operation 3 duration 433 mins.
Job 5 Operation 3 duration 281 mins.
Job 4 Operation 4 duration 233 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 73 mins.
Job 3 Operation 0 duration 363 mins.
Job 5 Operation 0 duration 304 mins.
Job 4 Operation 1 duration 12 mins.
Job 1 Operation 2 duration 140 mins.
Job 2 Operation 2 duration 45 mins.
Job 7 Operation 2 duration 432 mins.
Job 6 Operation 3 duration 64 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 176 mins.
Job 6 Operation 1 duration 8 mins.
Job 3 Operation 2 duration 121 mins.
Job 5 Operation 2 duration 393 mins.
Job 4 Operation 3 duration 136 mins.
Job 7 Operation 3 duration 279 mins.
Job 0 Operation 4 duration 182 mins.
Job 2 Operation 4 duration 139 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 340 mins.
Job 7 Operation 0 duration 117 mins.
Job 2 Operation 1 duration 403 mins.
Job 4 Operation 2 duration 211 mins.
Job 0 Operation 3 duration 208 mins.
Job 1 Operation 4 duration 124 mins.
Job 3 Operation 4 duration 335 mins.
Job 5 Operation 4 duration 161 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 128 mins.
Job 4 Operation 0 duration 183 mins.
Job 0 Operation 1 duration 195 mins.
Job 5 Operation 1 duration 95 mins.
Job 1 Operation 3 duration 223 mins.
Job 3 Operation 3 duration 326 mins.
Job 6 Operation 4 duration 228 mins.
Job 7 Operation 4 duration 87 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 1 : 0 + 73 -> 73
Job 1 Operation 0 on Machine 2 : 0 + 176 -> 176
Job 7 Operation 0 on Machine 3 : 0 + 117 -> 117
Job 2 Operation 0 on Machine 4 : 0 + 128 -> 128
Job 3 Operation 0 on Machine 1 : 73 + 363 -> 436
Job 7 Operation 1 on Machine 0 : 117 + 407 -> 524
Job 2 Operation 1 on Machine 3 : 128 + 403 -> 531
Job 0 Operation 1 on Machine 4 : 128 + 195 -> 323
Job 4 Operation 0 on Machine 4 : 323 + 183 -> 506
Job 4 Operation 1 on Machine 1 : 506 + 12 -> 518
Job 3 Operation 1 on Machine 0 : 524 + 209 -> 733
Job 2 Operation 2 on Machine 1 : 531 + 45 -> 576
Job 4 Operation 2 on Machine 3 : 531 + 211 -> 742
Job 5 Operation 0 on Machine 1 : 576 + 304 -> 880
Job 2 Operation 3 on Machine 0 : 733 + 433 -> 1166
Job 3 Operation 2 on Machine 2 : 733 + 121 -> 854
Job 6 Operation 0 on Machine 3 : 742 + 340 -> 1082
Job 4 Operation 3 on Machine 2 : 854 + 136 -> 990
Job 3 Operation 3 on Machine 4 : 854 + 326 -> 1180
Job 7 Operation 2 on Machine 1 : 880 + 432 -> 1312
Job 6 Operation 1 on Machine 2 : 1082 + 8 -> 1090
Job 0 Operation 2 on Machine 0 : 1166 + 185 -> 1351
Job 2 Operation 4 on Machine 2 : 1166 + 139 -> 1305
Job 3 Operation 4 on Machine 3 : 1180 + 335 -> 1515
Job 5 Operation 1 on Machine 4 : 1180 + 95 -> 1275
Job 5 Operation 2 on Machine 2 : 1305 + 393 -> 1698
Job 1 Operation 1 on Machine 0 : 1351 + 279 -> 1630
Job 0 Operation 3 on Machine 3 : 1515 + 208 -> 1723
Job 6 Operation 2 on Machine 0 : 1630 + 242 -> 1872
Job 1 Operation 2 on Machine 1 : 1630 + 140 -> 1770
Job 0 Operation 4 on Machine 2 : 1723 + 182 -> 1905
Job 1 Operation 3 on Machine 4 : 1770 + 223 -> 1993
Job 5 Operation 3 on Machine 0 : 1872 + 281 -> 2153
Job 6 Operation 3 on Machine 1 : 1872 + 64 -> 1936
Job 7 Operation 3 on Machine 2 : 1905 + 279 -> 2184
Job 1 Operation 4 on Machine 3 : 1993 + 124 -> 2117
Job 6 Operation 4 on Machine 4 : 1993 + 228 -> 2221
Job 4 Operation 4 on Machine 0 : 2153 + 233 -> 2386
Job 5 Operation 4 on Machine 3 : 2153 + 161 -> 2314
Job 7 Operation 4 on Machine 4 : 2221 + 87 -> 2308
Makespan: 2386.0, as it is the maximum end completion time of Operation 4
| 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 5 duration 142 mins.
Operation 1 on Machine 6 duration 122 mins.
Operation 2 on Machine 1 duration 162 mins.
Operation 3 on Machine 7 duration 211 mins.
Operation 4 on Machine 4 duration 150 mins.
Operation 5 on Machine 0 duration 131 mins.
Operation 6 on Machine 3 duration 162 mins.
Operation 7 on Machine 8 duration 188 mins.
Operation 8 on Machine 2 duration 126 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 72 mins.
Operation 1 on Machine 2 duration 116 mins.
Operation 2 on Machine 0 duration 211 mins.
Operation 3 on Machine 6 duration 205 mins.
Operation 4 on Machine 1 duration 81 mins.
Operation 5 on Machine 8 duration 127 mins.
Operation 6 on Machine 3 duration 168 mins.
Operation 7 on Machine 5 duration 141 mins.
Operation 8 on Machine 7 duration 171 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 151 mins.
Operation 1 on Machine 7 duration 124 mins.
Operation 2 on Machine 1 duration 205 mins.
Operation 3 on Machine 8 duration 36 mins.
Operation 4 on Machine 6 duration 119 mins.
Operation 5 on Machine 0 duration 6 mins.
Operation 6 on Machine 3 duration 204 mins.
Operation 7 on Machine 5 duration 53 mins.
Operation 8 on Machine 2 duration 141 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 71 mins.
Operation 1 on Machine 3 duration 35 mins.
Operation 2 on Machine 2 duration 101 mins.
Operation 3 on Machine 6 duration 164 mins.
Operation 4 on Machine 5 duration 100 mins.
Operation 5 on Machine 8 duration 169 mins.
Operation 6 on Machine 1 duration 99 mins.
Operation 7 on Machine 4 duration 56 mins.
Operation 8 on Machine 7 duration 167 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 112 mins.
Operation 1 on Machine 3 duration 147 mins.
Operation 2 on Machine 2 duration 78 mins.
Operation 3 on Machine 5 duration 196 mins.
Operation 4 on Machine 4 duration 157 mins.
Operation 5 on Machine 6 duration 173 mins.
Operation 6 on Machine 1 duration 211 mins.
Operation 7 on Machine 8 duration 174 mins.
Operation 8 on Machine 7 duration 39 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 8 duration 4 mins.
Operation 1 on Machine 6 duration 98 mins.
Operation 2 on Machine 7 duration 89 mins.
Operation 3 on Machine 2 duration 136 mins.
Operation 4 on Machine 1 duration 109 mins.
Operation 5 on Machine 4 duration 175 mins.
Operation 6 on Machine 5 duration 55 mins.
Operation 7 on Machine 3 duration 45 mins.
Operation 8 on Machine 0 duration 113 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 37 mins.
Operation 1 on Machine 1 duration 204 mins.
Operation 2 on Machine 7 duration 11 mins.
Operation 3 on Machine 3 duration 116 mins.
Operation 4 on Machine 0 duration 110 mins.
Operation 5 on Machine 5 duration 114 mins.
Operation 6 on Machine 8 duration 145 mins.
Operation 7 on Machine 2 duration 26 mins.
Operation 8 on Machine 4 duration 73 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 12 mins.
Operation 1 on Machine 7 duration 202 mins.
Operation 2 on Machine 2 duration 146 mins.
Operation 3 on Machine 8 duration 170 mins.
Operation 4 on Machine 6 duration 209 mins.
Operation 5 on Machine 3 duration 53 mins.
Operation 6 on Machine 4 duration 154 mins.
Operation 7 on Machine 5 duration 210 mins.
Operation 8 on Machine 1 duration 159 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 89 mins.
Operation 1 on Machine 8 duration 127 mins.
Operation 2 on Machine 4 duration 36 mins.
Operation 3 on Machine 6 duration 72 mins.
Operation 4 on Machine 0 duration 130 mins.
Operation 5 on Machine 3 duration 175 mins.
Operation 6 on Machine 7 duration 146 mins.
Operation 7 on Machine 5 duration 42 mins.
Operation 8 on Machine 2 duration 6 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 192 mins.
Operation 1 on Machine 5 duration 12 mins.
Operation 2 on Machine 1 duration 66 mins.
Operation 3 on Machine 8 duration 172 mins.
Operation 4 on Machine 4 duration 196 mins.
Operation 5 on Machine 0 duration 141 mins.
Operation 6 on Machine 7 duration 161 mins.
Operation 7 on Machine 6 duration 198 mins.
Operation 8 on Machine 3 duration 78 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 3 Operation 0 duration 71 mins.
Job 4 Operation 0 duration 112 mins.
Job 7 Operation 0 duration 12 mins.
Job 1 Operation 2 duration 211 mins.
Job 6 Operation 4 duration 110 mins.
Job 8 Operation 4 duration 130 mins.
Job 0 Operation 5 duration 131 mins.
Job 2 Operation 5 duration 6 mins.
Job 9 Operation 5 duration 141 mins.
Job 5 Operation 8 duration 113 mins.
Machine 1 is used for the following Operations:
Job 8 Operation 0 duration 89 mins.
Job 6 Operation 1 duration 204 mins.
Job 0 Operation 2 duration 162 mins.
Job 2 Operation 2 duration 205 mins.
Job 9 Operation 2 duration 66 mins.
Job 1 Operation 4 duration 81 mins.
Job 5 Operation 4 duration 109 mins.
Job 3 Operation 6 duration 99 mins.
Job 4 Operation 6 duration 211 mins.
Job 7 Operation 8 duration 159 mins.
Machine 2 is used for the following Operations:
Job 9 Operation 0 duration 192 mins.
Job 1 Operation 1 duration 116 mins.
Job 3 Operation 2 duration 101 mins.
Job 4 Operation 2 duration 78 mins.
Job 7 Operation 2 duration 146 mins.
Job 5 Operation 3 duration 136 mins.
Job 6 Operation 7 duration 26 mins.
Job 0 Operation 8 duration 126 mins.
Job 2 Operation 8 duration 141 mins.
Job 8 Operation 8 duration 6 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 1 duration 35 mins.
Job 4 Operation 1 duration 147 mins.
Job 6 Operation 3 duration 116 mins.
Job 7 Operation 5 duration 53 mins.
Job 8 Operation 5 duration 175 mins.
Job 0 Operation 6 duration 162 mins.
Job 1 Operation 6 duration 168 mins.
Job 2 Operation 6 duration 204 mins.
Job 5 Operation 7 duration 45 mins.
Job 9 Operation 8 duration 78 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 72 mins.
Job 2 Operation 0 duration 151 mins.
Job 8 Operation 2 duration 36 mins.
Job 0 Operation 4 duration 150 mins.
Job 4 Operation 4 duration 157 mins.
Job 9 Operation 4 duration 196 mins.
Job 5 Operation 5 duration 175 mins.
Job 7 Operation 6 duration 154 mins.
Job 3 Operation 7 duration 56 mins.
Job 6 Operation 8 duration 73 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 142 mins.
Job 9 Operation 1 duration 12 mins.
Job 4 Operation 3 duration 196 mins.
Job 3 Operation 4 duration 100 mins.
Job 6 Operation 5 duration 114 mins.
Job 5 Operation 6 duration 55 mins.
Job 1 Operation 7 duration 141 mins.
Job 2 Operation 7 duration 53 mins.
Job 7 Operation 7 duration 210 mins.
Job 8 Operation 7 duration 42 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 0 duration 37 mins.
Job 0 Operation 1 duration 122 mins.
Job 5 Operation 1 duration 98 mins.
Job 1 Operation 3 duration 205 mins.
Job 3 Operation 3 duration 164 mins.
Job 8 Operation 3 duration 72 mins.
Job 2 Operation 4 duration 119 mins.
Job 7 Operation 4 duration 209 mins.
Job 4 Operation 5 duration 173 mins.
Job 9 Operation 7 duration 198 mins.
Machine 7 is used for the following Operations:
Job 2 Operation 1 duration 124 mins.
Job 7 Operation 1 duration 202 mins.
Job 5 Operation 2 duration 89 mins.
Job 6 Operation 2 duration 11 mins.
Job 0 Operation 3 duration 211 mins.
Job 8 Operation 6 duration 146 mins.
Job 9 Operation 6 duration 161 mins.
Job 1 Operation 8 duration 171 mins.
Job 3 Operation 8 duration 167 mins.
Job 4 Operation 8 duration 39 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 0 duration 4 mins.
Job 8 Operation 1 duration 127 mins.
Job 2 Operation 3 duration 36 mins.
Job 7 Operation 3 duration 170 mins.
Job 9 Operation 3 duration 172 mins.
Job 1 Operation 5 duration 127 mins.
Job 3 Operation 5 duration 169 mins.
Job 6 Operation 6 duration 145 mins.
Job 0 Operation 7 duration 188 mins.
Job 4 Operation 7 duration 174 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 112 -> 112
Job 8 Operation 0 on Machine 1 : 0 + 89 -> 89
Job 1 Operation 0 on Machine 4 : 0 + 72 -> 72
Job 0 Operation 0 on Machine 5 : 0 + 142 -> 142
Job 6 Operation 0 on Machine 6 : 0 + 37 -> 37
Job 5 Operation 0 on Machine 8 : 0 + 4 -> 4
Job 5 Operation 1 on Machine 6 : 37 + 98 -> 135
Job 1 Operation 1 on Machine 2 : 72 + 116 -> 188
Job 6 Operation 1 on Machine 1 : 89 + 204 -> 293
Job 8 Operation 1 on Machine 8 : 89 + 127 -> 216
Job 7 Operation 0 on Machine 0 : 112 + 12 -> 124
Job 4 Operation 1 on Machine 3 : 112 + 147 -> 259
Job 7 Operation 1 on Machine 7 : 124 + 202 -> 326
Job 0 Operation 1 on Machine 6 : 142 + 122 -> 264
Job 1 Operation 2 on Machine 0 : 188 + 211 -> 399
Job 9 Operation 0 on Machine 2 : 188 + 192 -> 380
Job 8 Operation 2 on Machine 4 : 216 + 36 -> 252
Job 2 Operation 0 on Machine 4 : 252 + 151 -> 403
Job 8 Operation 3 on Machine 6 : 264 + 72 -> 336
Job 6 Operation 2 on Machine 7 : 326 + 11 -> 337
Job 6 Operation 3 on Machine 3 : 337 + 116 -> 453
Job 7 Operation 2 on Machine 2 : 380 + 146 -> 526
Job 9 Operation 1 on Machine 5 : 380 + 12 -> 392
Job 9 Operation 2 on Machine 1 : 392 + 66 -> 458
Job 3 Operation 0 on Machine 0 : 399 + 71 -> 470
Job 1 Operation 3 on Machine 6 : 399 + 205 -> 604
Job 2 Operation 1 on Machine 7 : 403 + 124 -> 527
Job 0 Operation 2 on Machine 1 : 458 + 162 -> 620
Job 9 Operation 3 on Machine 8 : 458 + 172 -> 630
Job 8 Operation 4 on Machine 0 : 470 + 130 -> 600
Job 3 Operation 1 on Machine 3 : 470 + 35 -> 505
Job 3 Operation 2 on Machine 2 : 526 + 101 -> 627
Job 5 Operation 2 on Machine 7 : 527 + 89 -> 616
Job 6 Operation 4 on Machine 0 : 600 + 110 -> 710
Job 8 Operation 5 on Machine 3 : 600 + 175 -> 775
Job 1 Operation 4 on Machine 1 : 620 + 81 -> 701
Job 0 Operation 3 on Machine 7 : 620 + 211 -> 831
Job 4 Operation 2 on Machine 2 : 627 + 78 -> 705
Job 3 Operation 3 on Machine 6 : 627 + 164 -> 791
Job 9 Operation 4 on Machine 4 : 630 + 196 -> 826
Job 7 Operation 3 on Machine 8 : 630 + 170 -> 800
Job 2 Operation 2 on Machine 1 : 701 + 205 -> 906
Job 5 Operation 3 on Machine 2 : 705 + 136 -> 841
Job 4 Operation 3 on Machine 5 : 705 + 196 -> 901
Job 7 Operation 4 on Machine 6 : 800 + 209 -> 1009
Job 1 Operation 5 on Machine 8 : 800 + 127 -> 927
Job 9 Operation 5 on Machine 0 : 826 + 141 -> 967
Job 0 Operation 4 on Machine 4 : 831 + 150 -> 981
Job 8 Operation 6 on Machine 7 : 831 + 146 -> 977
Job 3 Operation 4 on Machine 5 : 901 + 100 -> 1001
Job 5 Operation 4 on Machine 1 : 906 + 109 -> 1015
Job 1 Operation 6 on Machine 3 : 927 + 168 -> 1095
Job 2 Operation 3 on Machine 8 : 927 + 36 -> 963
Job 9 Operation 6 on Machine 7 : 977 + 161 -> 1138
Job 0 Operation 5 on Machine 0 : 981 + 131 -> 1112
Job 4 Operation 4 on Machine 4 : 981 + 157 -> 1138
Job 6 Operation 5 on Machine 5 : 1001 + 114 -> 1115
Job 3 Operation 5 on Machine 8 : 1001 + 169 -> 1170
Job 2 Operation 4 on Machine 6 : 1009 + 119 -> 1128
Job 7 Operation 5 on Machine 3 : 1095 + 53 -> 1148
Job 1 Operation 7 on Machine 5 : 1115 + 141 -> 1256
Job 2 Operation 5 on Machine 0 : 1128 + 6 -> 1134
Job 4 Operation 5 on Machine 6 : 1138 + 173 -> 1311
Job 0 Operation 6 on Machine 3 : 1148 + 162 -> 1310
Job 7 Operation 6 on Machine 4 : 1148 + 154 -> 1302
Job 3 Operation 6 on Machine 1 : 1170 + 99 -> 1269
Job 6 Operation 6 on Machine 8 : 1170 + 145 -> 1315
Job 8 Operation 7 on Machine 5 : 1256 + 42 -> 1298
Job 1 Operation 8 on Machine 7 : 1256 + 171 -> 1427
Job 8 Operation 8 on Machine 2 : 1298 + 6 -> 1304
Job 5 Operation 5 on Machine 4 : 1302 + 175 -> 1477
Job 7 Operation 7 on Machine 5 : 1302 + 210 -> 1512
Job 2 Operation 6 on Machine 3 : 1310 + 204 -> 1514
Job 4 Operation 6 on Machine 1 : 1311 + 211 -> 1522
Job 9 Operation 7 on Machine 6 : 1311 + 198 -> 1509
Job 6 Operation 7 on Machine 2 : 1315 + 26 -> 1341
Job 0 Operation 7 on Machine 8 : 1315 + 188 -> 1503
Job 3 Operation 7 on Machine 4 : 1477 + 56 -> 1533
Job 0 Operation 8 on Machine 2 : 1503 + 126 -> 1629
Job 5 Operation 6 on Machine 5 : 1512 + 55 -> 1567
Job 9 Operation 8 on Machine 3 : 1514 + 78 -> 1592
Job 7 Operation 8 on Machine 1 : 1522 + 159 -> 1681
Job 4 Operation 7 on Machine 8 : 1522 + 174 -> 1696
Job 6 Operation 8 on Machine 4 : 1533 + 73 -> 1606
Job 3 Operation 8 on Machine 7 : 1533 + 167 -> 1700
Job 2 Operation 7 on Machine 5 : 1567 + 53 -> 1620
Job 5 Operation 7 on Machine 3 : 1592 + 45 -> 1637
Job 2 Operation 8 on Machine 2 : 1629 + 141 -> 1770
Job 5 Operation 8 on Machine 0 : 1637 + 113 -> 1750
Job 4 Operation 8 on Machine 7 : 1700 + 39 -> 1739
Makespan: 1770.0, as it is the maximum end completion time of Operation 8
| null |
|
8 | 7 |
Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 33 mins.
Operation 1 on Machine 6 duration 152 mins.
Operation 2 on Machine 1 duration 218 mins.
Operation 3 on Machine 5 duration 151 mins.
Operation 4 on Machine 0 duration 201 mins.
Operation 5 on Machine 4 duration 178 mins.
Operation 6 on Machine 2 duration 131 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 199 mins.
Operation 1 on Machine 5 duration 49 mins.
Operation 2 on Machine 4 duration 281 mins.
Operation 3 on Machine 0 duration 270 mins.
Operation 4 on Machine 6 duration 104 mins.
Operation 5 on Machine 1 duration 161 mins.
Operation 6 on Machine 2 duration 238 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 99 mins.
Operation 1 on Machine 4 duration 138 mins.
Operation 2 on Machine 5 duration 200 mins.
Operation 3 on Machine 6 duration 141 mins.
Operation 4 on Machine 3 duration 123 mins.
Operation 5 on Machine 0 duration 145 mins.
Operation 6 on Machine 1 duration 290 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 288 mins.
Operation 1 on Machine 0 duration 194 mins.
Operation 2 on Machine 3 duration 242 mins.
Operation 3 on Machine 4 duration 20 mins.
Operation 4 on Machine 5 duration 49 mins.
Operation 5 on Machine 1 duration 50 mins.
Operation 6 on Machine 2 duration 95 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 221 mins.
Operation 1 on Machine 3 duration 204 mins.
Operation 2 on Machine 4 duration 114 mins.
Operation 3 on Machine 1 duration 237 mins.
Operation 4 on Machine 2 duration 186 mins.
Operation 5 on Machine 5 duration 111 mins.
Operation 6 on Machine 6 duration 139 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 171 mins.
Operation 1 on Machine 4 duration 294 mins.
Operation 2 on Machine 1 duration 123 mins.
Operation 3 on Machine 2 duration 36 mins.
Operation 4 on Machine 3 duration 267 mins.
Operation 5 on Machine 5 duration 82 mins.
Operation 6 on Machine 6 duration 120 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 147 mins.
Operation 1 on Machine 4 duration 278 mins.
Operation 2 on Machine 5 duration 16 mins.
Operation 3 on Machine 6 duration 127 mins.
Operation 4 on Machine 3 duration 42 mins.
Operation 5 on Machine 0 duration 148 mins.
Operation 6 on Machine 2 duration 35 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 142 mins.
Operation 1 on Machine 5 duration 115 mins.
Operation 2 on Machine 0 duration 269 mins.
Operation 3 on Machine 6 duration 92 mins.
Operation 4 on Machine 1 duration 207 mins.
Operation 5 on Machine 3 duration 25 mins.
Operation 6 on Machine 2 duration 126 mins.
| null |
Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 221 mins.
Job 5 Operation 0 duration 171 mins.
Job 3 Operation 1 duration 194 mins.
Job 7 Operation 2 duration 269 mins.
Job 1 Operation 3 duration 270 mins.
Job 0 Operation 4 duration 201 mins.
Job 2 Operation 5 duration 145 mins.
Job 6 Operation 5 duration 148 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 147 mins.
Job 0 Operation 2 duration 218 mins.
Job 5 Operation 2 duration 123 mins.
Job 4 Operation 3 duration 237 mins.
Job 7 Operation 4 duration 207 mins.
Job 1 Operation 5 duration 161 mins.
Job 3 Operation 5 duration 50 mins.
Job 2 Operation 6 duration 290 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 99 mins.
Job 5 Operation 3 duration 36 mins.
Job 4 Operation 4 duration 186 mins.
Job 0 Operation 6 duration 131 mins.
Job 1 Operation 6 duration 238 mins.
Job 3 Operation 6 duration 95 mins.
Job 6 Operation 6 duration 35 mins.
Job 7 Operation 6 duration 126 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 33 mins.
Job 1 Operation 0 duration 199 mins.
Job 4 Operation 1 duration 204 mins.
Job 3 Operation 2 duration 242 mins.
Job 2 Operation 4 duration 123 mins.
Job 5 Operation 4 duration 267 mins.
Job 6 Operation 4 duration 42 mins.
Job 7 Operation 5 duration 25 mins.
Machine 4 is used for the following Operations:
Job 7 Operation 0 duration 142 mins.
Job 2 Operation 1 duration 138 mins.
Job 5 Operation 1 duration 294 mins.
Job 6 Operation 1 duration 278 mins.
Job 1 Operation 2 duration 281 mins.
Job 4 Operation 2 duration 114 mins.
Job 3 Operation 3 duration 20 mins.
Job 0 Operation 5 duration 178 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 1 duration 49 mins.
Job 7 Operation 1 duration 115 mins.
Job 2 Operation 2 duration 200 mins.
Job 6 Operation 2 duration 16 mins.
Job 0 Operation 3 duration 151 mins.
Job 3 Operation 4 duration 49 mins.
Job 4 Operation 5 duration 111 mins.
Job 5 Operation 5 duration 82 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 288 mins.
Job 0 Operation 1 duration 152 mins.
Job 2 Operation 3 duration 141 mins.
Job 6 Operation 3 duration 127 mins.
Job 7 Operation 3 duration 92 mins.
Job 1 Operation 4 duration 104 mins.
Job 4 Operation 6 duration 139 mins.
Job 5 Operation 6 duration 120 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 221 -> 221
Job 6 Operation 0 on Machine 1 : 0 + 147 -> 147
Job 2 Operation 0 on Machine 2 : 0 + 99 -> 99
Job 1 Operation 0 on Machine 3 : 0 + 199 -> 199
Job 7 Operation 0 on Machine 4 : 0 + 142 -> 142
Job 0 Operation 0 on Machine 3 : 199 + 33 -> 232
Job 1 Operation 1 on Machine 5 : 199 + 49 -> 248
Job 5 Operation 0 on Machine 0 : 221 + 171 -> 392
Job 4 Operation 1 on Machine 3 : 232 + 204 -> 436
Job 0 Operation 1 on Machine 6 : 232 + 152 -> 384
Job 1 Operation 2 on Machine 4 : 248 + 281 -> 529
Job 7 Operation 1 on Machine 5 : 248 + 115 -> 363
Job 0 Operation 2 on Machine 1 : 384 + 218 -> 602
Job 3 Operation 0 on Machine 6 : 384 + 288 -> 672
Job 7 Operation 2 on Machine 0 : 392 + 269 -> 661
Job 4 Operation 2 on Machine 4 : 529 + 114 -> 643
Job 0 Operation 3 on Machine 5 : 602 + 151 -> 753
Job 4 Operation 3 on Machine 1 : 643 + 237 -> 880
Job 2 Operation 1 on Machine 4 : 643 + 138 -> 781
Job 3 Operation 1 on Machine 0 : 672 + 194 -> 866
Job 7 Operation 3 on Machine 6 : 672 + 92 -> 764
Job 5 Operation 1 on Machine 4 : 781 + 294 -> 1075
Job 2 Operation 2 on Machine 5 : 781 + 200 -> 981
Job 1 Operation 3 on Machine 0 : 866 + 270 -> 1136
Job 3 Operation 2 on Machine 3 : 866 + 242 -> 1108
Job 7 Operation 4 on Machine 1 : 880 + 207 -> 1087
Job 4 Operation 4 on Machine 2 : 880 + 186 -> 1066
Job 2 Operation 3 on Machine 6 : 981 + 141 -> 1122
Job 5 Operation 2 on Machine 1 : 1087 + 123 -> 1210
Job 7 Operation 5 on Machine 3 : 1108 + 25 -> 1133
Job 3 Operation 3 on Machine 4 : 1108 + 20 -> 1128
Job 6 Operation 1 on Machine 4 : 1128 + 278 -> 1406
Job 3 Operation 4 on Machine 5 : 1128 + 49 -> 1177
Job 7 Operation 6 on Machine 2 : 1133 + 126 -> 1259
Job 2 Operation 4 on Machine 3 : 1133 + 123 -> 1256
Job 0 Operation 4 on Machine 0 : 1136 + 201 -> 1337
Job 1 Operation 4 on Machine 6 : 1136 + 104 -> 1240
Job 4 Operation 5 on Machine 5 : 1177 + 111 -> 1288
Job 3 Operation 5 on Machine 1 : 1210 + 50 -> 1260
Job 5 Operation 3 on Machine 2 : 1259 + 36 -> 1295
Job 1 Operation 5 on Machine 1 : 1260 + 161 -> 1421
Job 3 Operation 6 on Machine 2 : 1295 + 95 -> 1390
Job 5 Operation 4 on Machine 3 : 1295 + 267 -> 1562
Job 2 Operation 5 on Machine 0 : 1337 + 145 -> 1482
Job 0 Operation 5 on Machine 4 : 1406 + 178 -> 1584
Job 6 Operation 2 on Machine 5 : 1406 + 16 -> 1422
Job 1 Operation 6 on Machine 2 : 1421 + 238 -> 1659
Job 6 Operation 3 on Machine 6 : 1422 + 127 -> 1549
Job 2 Operation 6 on Machine 1 : 1482 + 290 -> 1772
Job 4 Operation 6 on Machine 6 : 1549 + 139 -> 1688
Job 6 Operation 4 on Machine 3 : 1562 + 42 -> 1604
Job 5 Operation 5 on Machine 5 : 1562 + 82 -> 1644
Job 6 Operation 5 on Machine 0 : 1604 + 148 -> 1752
Job 0 Operation 6 on Machine 2 : 1659 + 131 -> 1790
Job 5 Operation 6 on Machine 6 : 1688 + 120 -> 1808
Job 6 Operation 6 on Machine 2 : 1790 + 35 -> 1825
Makespan: 1825.0, as it is the maximum end completion time of Operation 6
| null |
|
7 | 7 |
Optimize schedule for 7 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 5 duration 69 mins.
Operation 1 on Machine 0 duration 258 mins.
Operation 2 on Machine 4 duration 57 mins.
Operation 3 on Machine 2 duration 353 mins.
Operation 4 on Machine 3 duration 302 mins.
Operation 5 on Machine 6 duration 113 mins.
Operation 6 on Machine 1 duration 88 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 113 mins.
Operation 1 on Machine 6 duration 22 mins.
Operation 2 on Machine 0 duration 157 mins.
Operation 3 on Machine 1 duration 199 mins.
Operation 4 on Machine 4 duration 61 mins.
Operation 5 on Machine 5 duration 59 mins.
Operation 6 on Machine 3 duration 33 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 114 mins.
Operation 1 on Machine 6 duration 74 mins.
Operation 2 on Machine 4 duration 187 mins.
Operation 3 on Machine 1 duration 266 mins.
Operation 4 on Machine 2 duration 351 mins.
Operation 5 on Machine 5 duration 273 mins.
Operation 6 on Machine 3 duration 328 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 285 mins.
Operation 1 on Machine 1 duration 357 mins.
Operation 2 on Machine 6 duration 77 mins.
Operation 3 on Machine 4 duration 74 mins.
Operation 4 on Machine 2 duration 69 mins.
Operation 5 on Machine 5 duration 15 mins.
Operation 6 on Machine 3 duration 354 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 319 mins.
Operation 1 on Machine 6 duration 66 mins.
Operation 2 on Machine 2 duration 71 mins.
Operation 3 on Machine 3 duration 121 mins.
Operation 4 on Machine 1 duration 52 mins.
Operation 5 on Machine 0 duration 42 mins.
Operation 6 on Machine 5 duration 340 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 142 mins.
Operation 1 on Machine 6 duration 192 mins.
Operation 2 on Machine 0 duration 245 mins.
Operation 3 on Machine 3 duration 180 mins.
Operation 4 on Machine 2 duration 301 mins.
Operation 5 on Machine 5 duration 19 mins.
Operation 6 on Machine 1 duration 79 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 85 mins.
Operation 1 on Machine 4 duration 358 mins.
Operation 2 on Machine 0 duration 199 mins.
Operation 3 on Machine 3 duration 258 mins.
Operation 4 on Machine 6 duration 78 mins.
Operation 5 on Machine 1 duration 32 mins.
Operation 6 on Machine 2 duration 278 mins.
| null |
Optimize schedule for 7 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 114 mins.
Job 3 Operation 0 duration 285 mins.
Job 0 Operation 1 duration 258 mins.
Job 1 Operation 2 duration 157 mins.
Job 5 Operation 2 duration 245 mins.
Job 6 Operation 2 duration 199 mins.
Job 4 Operation 5 duration 42 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 1 duration 357 mins.
Job 1 Operation 3 duration 199 mins.
Job 2 Operation 3 duration 266 mins.
Job 4 Operation 4 duration 52 mins.
Job 6 Operation 5 duration 32 mins.
Job 0 Operation 6 duration 88 mins.
Job 5 Operation 6 duration 79 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 113 mins.
Job 4 Operation 2 duration 71 mins.
Job 0 Operation 3 duration 353 mins.
Job 2 Operation 4 duration 351 mins.
Job 3 Operation 4 duration 69 mins.
Job 5 Operation 4 duration 301 mins.
Job 6 Operation 6 duration 278 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 3 duration 121 mins.
Job 5 Operation 3 duration 180 mins.
Job 6 Operation 3 duration 258 mins.
Job 0 Operation 4 duration 302 mins.
Job 1 Operation 6 duration 33 mins.
Job 2 Operation 6 duration 328 mins.
Job 3 Operation 6 duration 354 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 319 mins.
Job 5 Operation 0 duration 142 mins.
Job 6 Operation 1 duration 358 mins.
Job 0 Operation 2 duration 57 mins.
Job 2 Operation 2 duration 187 mins.
Job 3 Operation 3 duration 74 mins.
Job 1 Operation 4 duration 61 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 0 duration 69 mins.
Job 6 Operation 0 duration 85 mins.
Job 1 Operation 5 duration 59 mins.
Job 2 Operation 5 duration 273 mins.
Job 3 Operation 5 duration 15 mins.
Job 5 Operation 5 duration 19 mins.
Job 4 Operation 6 duration 340 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 1 duration 22 mins.
Job 2 Operation 1 duration 74 mins.
Job 4 Operation 1 duration 66 mins.
Job 5 Operation 1 duration 192 mins.
Job 3 Operation 2 duration 77 mins.
Job 6 Operation 4 duration 78 mins.
Job 0 Operation 5 duration 113 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 114 -> 114
Job 1 Operation 0 on Machine 2 : 0 + 113 -> 113
Job 5 Operation 0 on Machine 4 : 0 + 142 -> 142
Job 0 Operation 0 on Machine 5 : 0 + 69 -> 69
Job 6 Operation 0 on Machine 5 : 69 + 85 -> 154
Job 0 Operation 1 on Machine 0 : 114 + 258 -> 372
Job 2 Operation 1 on Machine 6 : 114 + 74 -> 188
Job 2 Operation 2 on Machine 4 : 188 + 187 -> 375
Job 5 Operation 1 on Machine 6 : 188 + 192 -> 380
Job 2 Operation 3 on Machine 1 : 375 + 266 -> 641
Job 0 Operation 2 on Machine 4 : 375 + 57 -> 432
Job 5 Operation 2 on Machine 0 : 380 + 245 -> 625
Job 1 Operation 1 on Machine 6 : 380 + 22 -> 402
Job 0 Operation 3 on Machine 2 : 432 + 353 -> 785
Job 6 Operation 1 on Machine 4 : 432 + 358 -> 790
Job 3 Operation 0 on Machine 0 : 625 + 285 -> 910
Job 5 Operation 3 on Machine 3 : 625 + 180 -> 805
Job 2 Operation 4 on Machine 2 : 785 + 351 -> 1136
Job 4 Operation 0 on Machine 4 : 790 + 319 -> 1109
Job 0 Operation 4 on Machine 3 : 805 + 302 -> 1107
Job 6 Operation 2 on Machine 0 : 910 + 199 -> 1109
Job 3 Operation 1 on Machine 1 : 910 + 357 -> 1267
Job 1 Operation 2 on Machine 0 : 1109 + 157 -> 1266
Job 6 Operation 3 on Machine 3 : 1109 + 258 -> 1367
Job 4 Operation 1 on Machine 6 : 1109 + 66 -> 1175
Job 2 Operation 5 on Machine 5 : 1136 + 273 -> 1409
Job 4 Operation 2 on Machine 2 : 1175 + 71 -> 1246
Job 5 Operation 4 on Machine 2 : 1246 + 301 -> 1547
Job 3 Operation 2 on Machine 6 : 1267 + 77 -> 1344
Job 3 Operation 3 on Machine 4 : 1344 + 74 -> 1418
Job 0 Operation 5 on Machine 6 : 1344 + 113 -> 1457
Job 4 Operation 3 on Machine 3 : 1367 + 121 -> 1488
Job 0 Operation 6 on Machine 1 : 1457 + 88 -> 1545
Job 6 Operation 4 on Machine 6 : 1457 + 78 -> 1535
Job 2 Operation 6 on Machine 3 : 1488 + 328 -> 1816
Job 3 Operation 4 on Machine 2 : 1547 + 69 -> 1616
Job 5 Operation 5 on Machine 5 : 1547 + 19 -> 1566
Job 5 Operation 6 on Machine 1 : 1566 + 79 -> 1645
Job 3 Operation 5 on Machine 5 : 1616 + 15 -> 1631
Job 6 Operation 5 on Machine 1 : 1645 + 32 -> 1677
Job 4 Operation 4 on Machine 1 : 1677 + 52 -> 1729
Job 6 Operation 6 on Machine 2 : 1677 + 278 -> 1955
Job 4 Operation 5 on Machine 0 : 1729 + 42 -> 1771
Job 1 Operation 3 on Machine 1 : 1729 + 199 -> 1928
Job 4 Operation 6 on Machine 5 : 1771 + 340 -> 2111
Job 3 Operation 6 on Machine 3 : 1816 + 354 -> 2170
Job 1 Operation 4 on Machine 4 : 1928 + 61 -> 1989
Job 1 Operation 5 on Machine 5 : 2111 + 59 -> 2170
Job 1 Operation 6 on Machine 3 : 2170 + 33 -> 2203
Makespan: 2203.0, as it is the maximum end completion time of Operation 6
| null |
|
7 | 5 |
Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 68 mins.
Operation 1 on Machine 2 duration 321 mins.
Operation 2 on Machine 3 duration 329 mins.
Operation 3 on Machine 0 duration 150 mins.
Operation 4 on Machine 1 duration 15 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 54 mins.
Operation 1 on Machine 0 duration 189 mins.
Operation 2 on Machine 4 duration 319 mins.
Operation 3 on Machine 1 duration 177 mins.
Operation 4 on Machine 2 duration 356 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 183 mins.
Operation 1 on Machine 1 duration 22 mins.
Operation 2 on Machine 4 duration 60 mins.
Operation 3 on Machine 3 duration 284 mins.
Operation 4 on Machine 0 duration 4 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 87 mins.
Operation 1 on Machine 1 duration 353 mins.
Operation 2 on Machine 4 duration 298 mins.
Operation 3 on Machine 2 duration 265 mins.
Operation 4 on Machine 3 duration 284 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 209 mins.
Operation 1 on Machine 2 duration 209 mins.
Operation 2 on Machine 0 duration 174 mins.
Operation 3 on Machine 3 duration 105 mins.
Operation 4 on Machine 1 duration 165 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 352 mins.
Operation 1 on Machine 0 duration 278 mins.
Operation 2 on Machine 2 duration 54 mins.
Operation 3 on Machine 3 duration 254 mins.
Operation 4 on Machine 1 duration 235 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 4 duration 24 mins.
Operation 1 on Machine 3 duration 57 mins.
Operation 2 on Machine 0 duration 267 mins.
Operation 3 on Machine 1 duration 126 mins.
Operation 4 on Machine 2 duration 64 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 3 Operation 0 duration 87 mins.
Job 1 Operation 1 duration 189 mins.
Job 5 Operation 1 duration 278 mins.
Job 4 Operation 2 duration 174 mins.
Job 6 Operation 2 duration 267 mins.
Job 0 Operation 3 duration 150 mins.
Job 2 Operation 4 duration 4 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 1 duration 22 mins.
Job 3 Operation 1 duration 353 mins.
Job 1 Operation 3 duration 177 mins.
Job 6 Operation 3 duration 126 mins.
Job 0 Operation 4 duration 15 mins.
Job 4 Operation 4 duration 165 mins.
Job 5 Operation 4 duration 235 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 183 mins.
Job 0 Operation 1 duration 321 mins.
Job 4 Operation 1 duration 209 mins.
Job 5 Operation 2 duration 54 mins.
Job 3 Operation 3 duration 265 mins.
Job 1 Operation 4 duration 356 mins.
Job 6 Operation 4 duration 64 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 54 mins.
Job 6 Operation 1 duration 57 mins.
Job 0 Operation 2 duration 329 mins.
Job 2 Operation 3 duration 284 mins.
Job 4 Operation 3 duration 105 mins.
Job 5 Operation 3 duration 254 mins.
Job 3 Operation 4 duration 284 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 68 mins.
Job 4 Operation 0 duration 209 mins.
Job 5 Operation 0 duration 352 mins.
Job 6 Operation 0 duration 24 mins.
Job 1 Operation 2 duration 319 mins.
Job 2 Operation 2 duration 60 mins.
Job 3 Operation 2 duration 298 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 87 -> 87
Job 6 Operation 0 on Machine 4 : 0 + 24 -> 24
Job 6 Operation 1 on Machine 3 : 24 + 57 -> 81
Job 0 Operation 0 on Machine 4 : 24 + 68 -> 92
Job 1 Operation 0 on Machine 3 : 81 + 54 -> 135
Job 6 Operation 2 on Machine 0 : 87 + 267 -> 354
Job 3 Operation 1 on Machine 1 : 87 + 353 -> 440
Job 0 Operation 1 on Machine 2 : 92 + 321 -> 413
Job 5 Operation 0 on Machine 4 : 92 + 352 -> 444
Job 0 Operation 2 on Machine 3 : 413 + 329 -> 742
Job 6 Operation 3 on Machine 1 : 440 + 126 -> 566
Job 5 Operation 1 on Machine 0 : 444 + 278 -> 722
Job 3 Operation 2 on Machine 4 : 444 + 298 -> 742
Job 6 Operation 4 on Machine 2 : 566 + 64 -> 630
Job 1 Operation 1 on Machine 0 : 722 + 189 -> 911
Job 5 Operation 2 on Machine 2 : 722 + 54 -> 776
Job 4 Operation 0 on Machine 4 : 742 + 209 -> 951
Job 3 Operation 3 on Machine 2 : 776 + 265 -> 1041
Job 5 Operation 3 on Machine 3 : 776 + 254 -> 1030
Job 0 Operation 3 on Machine 0 : 911 + 150 -> 1061
Job 1 Operation 2 on Machine 4 : 951 + 319 -> 1270
Job 5 Operation 4 on Machine 1 : 1030 + 235 -> 1265
Job 4 Operation 1 on Machine 2 : 1041 + 209 -> 1250
Job 3 Operation 4 on Machine 3 : 1041 + 284 -> 1325
Job 4 Operation 2 on Machine 0 : 1250 + 174 -> 1424
Job 2 Operation 0 on Machine 2 : 1250 + 183 -> 1433
Job 1 Operation 3 on Machine 1 : 1270 + 177 -> 1447
Job 4 Operation 3 on Machine 3 : 1424 + 105 -> 1529
Job 2 Operation 1 on Machine 1 : 1447 + 22 -> 1469
Job 1 Operation 4 on Machine 2 : 1447 + 356 -> 1803
Job 0 Operation 4 on Machine 1 : 1469 + 15 -> 1484
Job 2 Operation 2 on Machine 4 : 1469 + 60 -> 1529
Job 4 Operation 4 on Machine 1 : 1529 + 165 -> 1694
Job 2 Operation 3 on Machine 3 : 1529 + 284 -> 1813
Job 2 Operation 4 on Machine 0 : 1813 + 4 -> 1817
Makespan: 1817.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 3 |
Optimize schedule for 9 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 57 mins.
Operation 1 on Machine 0 duration 20 mins.
Operation 2 on Machine 1 duration 236 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 59 mins.
Operation 1 on Machine 0 duration 51 mins.
Operation 2 on Machine 1 duration 133 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 253 mins.
Operation 1 on Machine 0 duration 277 mins.
Operation 2 on Machine 1 duration 90 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 69 mins.
Operation 1 on Machine 2 duration 23 mins.
Operation 2 on Machine 0 duration 128 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 97 mins.
Operation 1 on Machine 0 duration 258 mins.
Operation 2 on Machine 1 duration 84 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 215 mins.
Operation 1 on Machine 0 duration 117 mins.
Operation 2 on Machine 2 duration 35 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 19 mins.
Operation 1 on Machine 2 duration 93 mins.
Operation 2 on Machine 1 duration 179 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 94 mins.
Operation 1 on Machine 1 duration 192 mins.
Operation 2 on Machine 2 duration 234 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 187 mins.
Operation 1 on Machine 2 duration 197 mins.
Operation 2 on Machine 1 duration 267 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 6 Operation 0 duration 19 mins.
Job 7 Operation 0 duration 94 mins.
Job 8 Operation 0 duration 187 mins.
Job 0 Operation 1 duration 20 mins.
Job 1 Operation 1 duration 51 mins.
Job 2 Operation 1 duration 277 mins.
Job 4 Operation 1 duration 258 mins.
Job 5 Operation 1 duration 117 mins.
Job 3 Operation 2 duration 128 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 69 mins.
Job 5 Operation 0 duration 215 mins.
Job 7 Operation 1 duration 192 mins.
Job 0 Operation 2 duration 236 mins.
Job 1 Operation 2 duration 133 mins.
Job 2 Operation 2 duration 90 mins.
Job 4 Operation 2 duration 84 mins.
Job 6 Operation 2 duration 179 mins.
Job 8 Operation 2 duration 267 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 57 mins.
Job 1 Operation 0 duration 59 mins.
Job 2 Operation 0 duration 253 mins.
Job 4 Operation 0 duration 97 mins.
Job 3 Operation 1 duration 23 mins.
Job 6 Operation 1 duration 93 mins.
Job 8 Operation 1 duration 197 mins.
Job 5 Operation 2 duration 35 mins.
Job 7 Operation 2 duration 234 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 19 -> 19
Job 3 Operation 0 on Machine 1 : 0 + 69 -> 69
Job 0 Operation 0 on Machine 2 : 0 + 57 -> 57
Job 7 Operation 0 on Machine 0 : 19 + 94 -> 113
Job 1 Operation 0 on Machine 2 : 57 + 59 -> 116
Job 5 Operation 0 on Machine 1 : 69 + 215 -> 284
Job 0 Operation 1 on Machine 0 : 113 + 20 -> 133
Job 3 Operation 1 on Machine 2 : 116 + 23 -> 139
Job 1 Operation 1 on Machine 0 : 133 + 51 -> 184
Job 6 Operation 1 on Machine 2 : 139 + 93 -> 232
Job 3 Operation 2 on Machine 0 : 184 + 128 -> 312
Job 4 Operation 0 on Machine 2 : 232 + 97 -> 329
Job 1 Operation 2 on Machine 1 : 284 + 133 -> 417
Job 5 Operation 1 on Machine 0 : 312 + 117 -> 429
Job 2 Operation 0 on Machine 2 : 329 + 253 -> 582
Job 6 Operation 2 on Machine 1 : 417 + 179 -> 596
Job 8 Operation 0 on Machine 0 : 429 + 187 -> 616
Job 5 Operation 2 on Machine 2 : 582 + 35 -> 617
Job 7 Operation 1 on Machine 1 : 596 + 192 -> 788
Job 4 Operation 1 on Machine 0 : 616 + 258 -> 874
Job 8 Operation 1 on Machine 2 : 617 + 197 -> 814
Job 0 Operation 2 on Machine 1 : 788 + 236 -> 1024
Job 7 Operation 2 on Machine 2 : 814 + 234 -> 1048
Job 2 Operation 1 on Machine 0 : 874 + 277 -> 1151
Job 4 Operation 2 on Machine 1 : 1024 + 84 -> 1108
Job 8 Operation 2 on Machine 1 : 1108 + 267 -> 1375
Job 2 Operation 2 on Machine 1 : 1375 + 90 -> 1465
Makespan: 1465.0, as it is the maximum end completion time of Operation 2
| null |
|
6 | 4 |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 24 mins.
Operation 1 on Machine 1 duration 105 mins.
Operation 2 on Machine 3 duration 20 mins.
Operation 3 on Machine 2 duration 107 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 163 mins.
Operation 1 on Machine 2 duration 64 mins.
Operation 2 on Machine 0 duration 127 mins.
Operation 3 on Machine 1 duration 177 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 207 mins.
Operation 1 on Machine 0 duration 212 mins.
Operation 2 on Machine 3 duration 43 mins.
Operation 3 on Machine 2 duration 164 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 169 mins.
Operation 1 on Machine 1 duration 192 mins.
Operation 2 on Machine 0 duration 176 mins.
Operation 3 on Machine 2 duration 92 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 26 mins.
Operation 1 on Machine 0 duration 45 mins.
Operation 2 on Machine 1 duration 212 mins.
Operation 3 on Machine 3 duration 73 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 31 mins.
Operation 1 on Machine 1 duration 17 mins.
Operation 2 on Machine 0 duration 76 mins.
Operation 3 on Machine 2 duration 94 mins.
| null |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 24 mins.
Job 2 Operation 1 duration 212 mins.
Job 4 Operation 1 duration 45 mins.
Job 1 Operation 2 duration 127 mins.
Job 3 Operation 2 duration 176 mins.
Job 5 Operation 2 duration 76 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 207 mins.
Job 0 Operation 1 duration 105 mins.
Job 3 Operation 1 duration 192 mins.
Job 5 Operation 1 duration 17 mins.
Job 4 Operation 2 duration 212 mins.
Job 1 Operation 3 duration 177 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 26 mins.
Job 1 Operation 1 duration 64 mins.
Job 0 Operation 3 duration 107 mins.
Job 2 Operation 3 duration 164 mins.
Job 3 Operation 3 duration 92 mins.
Job 5 Operation 3 duration 94 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 163 mins.
Job 3 Operation 0 duration 169 mins.
Job 5 Operation 0 duration 31 mins.
Job 0 Operation 2 duration 20 mins.
Job 2 Operation 2 duration 43 mins.
Job 4 Operation 3 duration 73 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 24 -> 24
Job 2 Operation 0 on Machine 1 : 0 + 207 -> 207
Job 4 Operation 0 on Machine 2 : 0 + 26 -> 26
Job 5 Operation 0 on Machine 3 : 0 + 31 -> 31
Job 4 Operation 1 on Machine 0 : 26 + 45 -> 71
Job 3 Operation 0 on Machine 3 : 31 + 169 -> 200
Job 1 Operation 0 on Machine 3 : 200 + 163 -> 363
Job 2 Operation 1 on Machine 0 : 207 + 212 -> 419
Job 5 Operation 1 on Machine 1 : 207 + 17 -> 224
Job 0 Operation 1 on Machine 1 : 224 + 105 -> 329
Job 3 Operation 1 on Machine 1 : 329 + 192 -> 521
Job 1 Operation 1 on Machine 2 : 363 + 64 -> 427
Job 0 Operation 2 on Machine 3 : 363 + 20 -> 383
Job 5 Operation 2 on Machine 0 : 419 + 76 -> 495
Job 2 Operation 2 on Machine 3 : 419 + 43 -> 462
Job 0 Operation 3 on Machine 2 : 427 + 107 -> 534
Job 1 Operation 2 on Machine 0 : 495 + 127 -> 622
Job 4 Operation 2 on Machine 1 : 521 + 212 -> 733
Job 2 Operation 3 on Machine 2 : 534 + 164 -> 698
Job 3 Operation 2 on Machine 0 : 622 + 176 -> 798
Job 5 Operation 3 on Machine 2 : 698 + 94 -> 792
Job 1 Operation 3 on Machine 1 : 733 + 177 -> 910
Job 4 Operation 3 on Machine 3 : 733 + 73 -> 806
Job 3 Operation 3 on Machine 2 : 798 + 92 -> 890
Makespan: 910.0, as it is the maximum end completion time of Operation 3
| null |
|
10 | 8 |
Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 180 mins.
Operation 1 on Machine 4 duration 101 mins.
Operation 2 on Machine 5 duration 207 mins.
Operation 3 on Machine 1 duration 57 mins.
Operation 4 on Machine 0 duration 281 mins.
Operation 5 on Machine 3 duration 258 mins.
Operation 6 on Machine 7 duration 283 mins.
Operation 7 on Machine 6 duration 271 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 299 mins.
Operation 1 on Machine 7 duration 7 mins.
Operation 2 on Machine 5 duration 162 mins.
Operation 3 on Machine 3 duration 91 mins.
Operation 4 on Machine 0 duration 136 mins.
Operation 5 on Machine 1 duration 43 mins.
Operation 6 on Machine 6 duration 131 mins.
Operation 7 on Machine 2 duration 103 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 100 mins.
Operation 1 on Machine 4 duration 207 mins.
Operation 2 on Machine 5 duration 184 mins.
Operation 3 on Machine 7 duration 78 mins.
Operation 4 on Machine 0 duration 64 mins.
Operation 5 on Machine 3 duration 213 mins.
Operation 6 on Machine 1 duration 227 mins.
Operation 7 on Machine 6 duration 69 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 195 mins.
Operation 1 on Machine 5 duration 234 mins.
Operation 2 on Machine 1 duration 76 mins.
Operation 3 on Machine 7 duration 172 mins.
Operation 4 on Machine 4 duration 187 mins.
Operation 5 on Machine 0 duration 29 mins.
Operation 6 on Machine 2 duration 73 mins.
Operation 7 on Machine 6 duration 183 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 7 duration 195 mins.
Operation 1 on Machine 2 duration 265 mins.
Operation 2 on Machine 5 duration 219 mins.
Operation 3 on Machine 6 duration 166 mins.
Operation 4 on Machine 1 duration 303 mins.
Operation 5 on Machine 3 duration 249 mins.
Operation 6 on Machine 4 duration 79 mins.
Operation 7 on Machine 0 duration 144 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 60 mins.
Operation 1 on Machine 0 duration 136 mins.
Operation 2 on Machine 5 duration 31 mins.
Operation 3 on Machine 7 duration 207 mins.
Operation 4 on Machine 6 duration 104 mins.
Operation 5 on Machine 1 duration 221 mins.
Operation 6 on Machine 2 duration 181 mins.
Operation 7 on Machine 4 duration 147 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 285 mins.
Operation 1 on Machine 1 duration 22 mins.
Operation 2 on Machine 7 duration 222 mins.
Operation 3 on Machine 4 duration 173 mins.
Operation 4 on Machine 2 duration 60 mins.
Operation 5 on Machine 6 duration 30 mins.
Operation 6 on Machine 5 duration 118 mins.
Operation 7 on Machine 3 duration 205 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 115 mins.
Operation 1 on Machine 3 duration 199 mins.
Operation 2 on Machine 5 duration 74 mins.
Operation 3 on Machine 6 duration 303 mins.
Operation 4 on Machine 4 duration 127 mins.
Operation 5 on Machine 7 duration 236 mins.
Operation 6 on Machine 1 duration 173 mins.
Operation 7 on Machine 0 duration 205 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 137 mins.
Operation 1 on Machine 1 duration 62 mins.
Operation 2 on Machine 0 duration 43 mins.
Operation 3 on Machine 5 duration 232 mins.
Operation 4 on Machine 6 duration 196 mins.
Operation 5 on Machine 3 duration 75 mins.
Operation 6 on Machine 7 duration 172 mins.
Operation 7 on Machine 4 duration 127 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 0 duration 67 mins.
Operation 1 on Machine 6 duration 33 mins.
Operation 2 on Machine 5 duration 291 mins.
Operation 3 on Machine 4 duration 202 mins.
Operation 4 on Machine 7 duration 103 mins.
Operation 5 on Machine 3 duration 128 mins.
Operation 6 on Machine 1 duration 51 mins.
Operation 7 on Machine 2 duration 5 mins.
| null |
Optimize schedule for 10 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 285 mins.
Job 9 Operation 0 duration 67 mins.
Job 5 Operation 1 duration 136 mins.
Job 8 Operation 2 duration 43 mins.
Job 0 Operation 4 duration 281 mins.
Job 1 Operation 4 duration 136 mins.
Job 2 Operation 4 duration 64 mins.
Job 3 Operation 5 duration 29 mins.
Job 4 Operation 7 duration 144 mins.
Job 7 Operation 7 duration 205 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 1 duration 22 mins.
Job 8 Operation 1 duration 62 mins.
Job 3 Operation 2 duration 76 mins.
Job 0 Operation 3 duration 57 mins.
Job 4 Operation 4 duration 303 mins.
Job 1 Operation 5 duration 43 mins.
Job 5 Operation 5 duration 221 mins.
Job 2 Operation 6 duration 227 mins.
Job 7 Operation 6 duration 173 mins.
Job 9 Operation 6 duration 51 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 180 mins.
Job 2 Operation 0 duration 100 mins.
Job 7 Operation 0 duration 115 mins.
Job 8 Operation 0 duration 137 mins.
Job 4 Operation 1 duration 265 mins.
Job 6 Operation 4 duration 60 mins.
Job 3 Operation 6 duration 73 mins.
Job 5 Operation 6 duration 181 mins.
Job 1 Operation 7 duration 103 mins.
Job 9 Operation 7 duration 5 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 195 mins.
Job 5 Operation 0 duration 60 mins.
Job 7 Operation 1 duration 199 mins.
Job 1 Operation 3 duration 91 mins.
Job 0 Operation 5 duration 258 mins.
Job 2 Operation 5 duration 213 mins.
Job 4 Operation 5 duration 249 mins.
Job 8 Operation 5 duration 75 mins.
Job 9 Operation 5 duration 128 mins.
Job 6 Operation 7 duration 205 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 299 mins.
Job 0 Operation 1 duration 101 mins.
Job 2 Operation 1 duration 207 mins.
Job 6 Operation 3 duration 173 mins.
Job 9 Operation 3 duration 202 mins.
Job 3 Operation 4 duration 187 mins.
Job 7 Operation 4 duration 127 mins.
Job 4 Operation 6 duration 79 mins.
Job 5 Operation 7 duration 147 mins.
Job 8 Operation 7 duration 127 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 1 duration 234 mins.
Job 0 Operation 2 duration 207 mins.
Job 1 Operation 2 duration 162 mins.
Job 2 Operation 2 duration 184 mins.
Job 4 Operation 2 duration 219 mins.
Job 5 Operation 2 duration 31 mins.
Job 7 Operation 2 duration 74 mins.
Job 9 Operation 2 duration 291 mins.
Job 8 Operation 3 duration 232 mins.
Job 6 Operation 6 duration 118 mins.
Machine 6 is used for the following Operations:
Job 9 Operation 1 duration 33 mins.
Job 4 Operation 3 duration 166 mins.
Job 7 Operation 3 duration 303 mins.
Job 5 Operation 4 duration 104 mins.
Job 8 Operation 4 duration 196 mins.
Job 6 Operation 5 duration 30 mins.
Job 1 Operation 6 duration 131 mins.
Job 0 Operation 7 duration 271 mins.
Job 2 Operation 7 duration 69 mins.
Job 3 Operation 7 duration 183 mins.
Machine 7 is used for the following Operations:
Job 4 Operation 0 duration 195 mins.
Job 1 Operation 1 duration 7 mins.
Job 6 Operation 2 duration 222 mins.
Job 2 Operation 3 duration 78 mins.
Job 3 Operation 3 duration 172 mins.
Job 5 Operation 3 duration 207 mins.
Job 9 Operation 4 duration 103 mins.
Job 7 Operation 5 duration 236 mins.
Job 0 Operation 6 duration 283 mins.
Job 8 Operation 6 duration 172 mins.
| null |
Solution:
Job 9 Operation 0 on Machine 0 : 0 + 67 -> 67
Job 7 Operation 0 on Machine 2 : 0 + 115 -> 115
Job 5 Operation 0 on Machine 3 : 0 + 60 -> 60
Job 1 Operation 0 on Machine 4 : 0 + 299 -> 299
Job 4 Operation 0 on Machine 7 : 0 + 195 -> 195
Job 5 Operation 1 on Machine 0 : 67 + 136 -> 203
Job 9 Operation 1 on Machine 6 : 67 + 33 -> 100
Job 9 Operation 2 on Machine 5 : 100 + 291 -> 391
Job 2 Operation 0 on Machine 2 : 115 + 100 -> 215
Job 7 Operation 1 on Machine 3 : 115 + 199 -> 314
Job 6 Operation 0 on Machine 0 : 203 + 285 -> 488
Job 0 Operation 0 on Machine 2 : 215 + 180 -> 395
Job 3 Operation 0 on Machine 3 : 314 + 195 -> 509
Job 7 Operation 2 on Machine 5 : 391 + 74 -> 465
Job 4 Operation 1 on Machine 2 : 395 + 265 -> 660
Job 0 Operation 1 on Machine 4 : 395 + 101 -> 496
Job 5 Operation 2 on Machine 5 : 465 + 31 -> 496
Job 7 Operation 3 on Machine 6 : 465 + 303 -> 768
Job 6 Operation 1 on Machine 1 : 488 + 22 -> 510
Job 2 Operation 1 on Machine 4 : 496 + 207 -> 703
Job 0 Operation 2 on Machine 5 : 496 + 207 -> 703
Job 5 Operation 3 on Machine 7 : 496 + 207 -> 703
Job 8 Operation 0 on Machine 2 : 660 + 137 -> 797
Job 0 Operation 3 on Machine 1 : 703 + 57 -> 760
Job 4 Operation 2 on Machine 5 : 703 + 219 -> 922
Job 6 Operation 2 on Machine 7 : 703 + 222 -> 925
Job 0 Operation 4 on Machine 0 : 760 + 281 -> 1041
Job 7 Operation 4 on Machine 4 : 768 + 127 -> 895
Job 5 Operation 4 on Machine 6 : 768 + 104 -> 872
Job 8 Operation 1 on Machine 1 : 797 + 62 -> 859
Job 5 Operation 5 on Machine 1 : 872 + 221 -> 1093
Job 9 Operation 3 on Machine 4 : 895 + 202 -> 1097
Job 2 Operation 2 on Machine 5 : 922 + 184 -> 1106
Job 4 Operation 3 on Machine 6 : 922 + 166 -> 1088
Job 7 Operation 5 on Machine 7 : 925 + 236 -> 1161
Job 8 Operation 2 on Machine 0 : 1041 + 43 -> 1084
Job 0 Operation 5 on Machine 3 : 1041 + 258 -> 1299
Job 4 Operation 4 on Machine 1 : 1093 + 303 -> 1396
Job 5 Operation 6 on Machine 2 : 1093 + 181 -> 1274
Job 6 Operation 3 on Machine 4 : 1097 + 173 -> 1270
Job 8 Operation 3 on Machine 5 : 1106 + 232 -> 1338
Job 2 Operation 3 on Machine 7 : 1161 + 78 -> 1239
Job 2 Operation 4 on Machine 0 : 1239 + 64 -> 1303
Job 9 Operation 4 on Machine 7 : 1239 + 103 -> 1342
Job 6 Operation 4 on Machine 2 : 1274 + 60 -> 1334
Job 5 Operation 7 on Machine 4 : 1274 + 147 -> 1421
Job 2 Operation 5 on Machine 3 : 1303 + 213 -> 1516
Job 6 Operation 5 on Machine 6 : 1334 + 30 -> 1364
Job 3 Operation 1 on Machine 5 : 1338 + 234 -> 1572
Job 1 Operation 1 on Machine 7 : 1342 + 7 -> 1349
Job 0 Operation 6 on Machine 7 : 1349 + 283 -> 1632
Job 8 Operation 4 on Machine 6 : 1364 + 196 -> 1560
Job 7 Operation 6 on Machine 1 : 1396 + 173 -> 1569
Job 9 Operation 5 on Machine 3 : 1516 + 128 -> 1644
Job 7 Operation 7 on Machine 0 : 1569 + 205 -> 1774
Job 3 Operation 2 on Machine 1 : 1572 + 76 -> 1648
Job 1 Operation 2 on Machine 5 : 1572 + 162 -> 1734
Job 0 Operation 7 on Machine 6 : 1632 + 271 -> 1903
Job 8 Operation 5 on Machine 3 : 1644 + 75 -> 1719
Job 2 Operation 6 on Machine 1 : 1648 + 227 -> 1875
Job 3 Operation 3 on Machine 7 : 1648 + 172 -> 1820
Job 1 Operation 3 on Machine 3 : 1734 + 91 -> 1825
Job 6 Operation 6 on Machine 5 : 1734 + 118 -> 1852
Job 3 Operation 4 on Machine 4 : 1820 + 187 -> 2007
Job 8 Operation 6 on Machine 7 : 1820 + 172 -> 1992
Job 1 Operation 4 on Machine 0 : 1825 + 136 -> 1961
Job 4 Operation 5 on Machine 3 : 1825 + 249 -> 2074
Job 2 Operation 7 on Machine 6 : 1903 + 69 -> 1972
Job 1 Operation 5 on Machine 1 : 1961 + 43 -> 2004
Job 9 Operation 6 on Machine 1 : 2004 + 51 -> 2055
Job 1 Operation 6 on Machine 6 : 2004 + 131 -> 2135
Job 3 Operation 5 on Machine 0 : 2007 + 29 -> 2036
Job 3 Operation 6 on Machine 2 : 2036 + 73 -> 2109
Job 6 Operation 7 on Machine 3 : 2074 + 205 -> 2279
Job 4 Operation 6 on Machine 4 : 2074 + 79 -> 2153
Job 9 Operation 7 on Machine 2 : 2109 + 5 -> 2114
Job 1 Operation 7 on Machine 2 : 2135 + 103 -> 2238
Job 3 Operation 7 on Machine 6 : 2135 + 183 -> 2318
Job 4 Operation 7 on Machine 0 : 2153 + 144 -> 2297
Job 8 Operation 7 on Machine 4 : 2153 + 127 -> 2280
Makespan: 2318.0, as it is the maximum end completion time of Operation 7
| null |
|
7 | 3 |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 214 mins.
Operation 1 on Machine 1 duration 278 mins.
Operation 2 on Machine 2 duration 40 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 151 mins.
Operation 1 on Machine 2 duration 95 mins.
Operation 2 on Machine 1 duration 213 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 14 mins.
Operation 1 on Machine 0 duration 21 mins.
Operation 2 on Machine 1 duration 15 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 120 mins.
Operation 1 on Machine 1 duration 134 mins.
Operation 2 on Machine 2 duration 26 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 144 mins.
Operation 1 on Machine 2 duration 59 mins.
Operation 2 on Machine 1 duration 22 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 224 mins.
Operation 1 on Machine 1 duration 229 mins.
Operation 2 on Machine 2 duration 187 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 169 mins.
Operation 1 on Machine 1 duration 129 mins.
Operation 2 on Machine 2 duration 243 mins.
| null |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 214 mins.
Job 1 Operation 0 duration 151 mins.
Job 3 Operation 0 duration 120 mins.
Job 4 Operation 0 duration 144 mins.
Job 5 Operation 0 duration 224 mins.
Job 6 Operation 0 duration 169 mins.
Job 2 Operation 1 duration 21 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 278 mins.
Job 3 Operation 1 duration 134 mins.
Job 5 Operation 1 duration 229 mins.
Job 6 Operation 1 duration 129 mins.
Job 1 Operation 2 duration 213 mins.
Job 2 Operation 2 duration 15 mins.
Job 4 Operation 2 duration 22 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 14 mins.
Job 1 Operation 1 duration 95 mins.
Job 4 Operation 1 duration 59 mins.
Job 0 Operation 2 duration 40 mins.
Job 3 Operation 2 duration 26 mins.
Job 5 Operation 2 duration 187 mins.
Job 6 Operation 2 duration 243 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 224 -> 224
Job 2 Operation 0 on Machine 2 : 0 + 14 -> 14
Job 0 Operation 0 on Machine 0 : 224 + 214 -> 438
Job 5 Operation 1 on Machine 1 : 224 + 229 -> 453
Job 6 Operation 0 on Machine 0 : 438 + 169 -> 607
Job 0 Operation 1 on Machine 1 : 453 + 278 -> 731
Job 5 Operation 2 on Machine 2 : 453 + 187 -> 640
Job 1 Operation 0 on Machine 0 : 607 + 151 -> 758
Job 6 Operation 1 on Machine 1 : 731 + 129 -> 860
Job 3 Operation 0 on Machine 0 : 758 + 120 -> 878
Job 1 Operation 1 on Machine 2 : 758 + 95 -> 853
Job 1 Operation 2 on Machine 1 : 860 + 213 -> 1073
Job 6 Operation 2 on Machine 2 : 860 + 243 -> 1103
Job 2 Operation 1 on Machine 0 : 878 + 21 -> 899
Job 4 Operation 0 on Machine 0 : 899 + 144 -> 1043
Job 3 Operation 1 on Machine 1 : 1073 + 134 -> 1207
Job 4 Operation 1 on Machine 2 : 1103 + 59 -> 1162
Job 0 Operation 2 on Machine 2 : 1162 + 40 -> 1202
Job 2 Operation 2 on Machine 1 : 1207 + 15 -> 1222
Job 3 Operation 2 on Machine 2 : 1207 + 26 -> 1233
Job 4 Operation 2 on Machine 1 : 1222 + 22 -> 1244
Makespan: 1244.0, as it is the maximum end completion time of Operation 2
| null |
|
9 | 8 |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 39 mins.
Operation 1 on Machine 4 duration 27 mins.
Operation 2 on Machine 5 duration 3 mins.
Operation 3 on Machine 2 duration 61 mins.
Operation 4 on Machine 1 duration 34 mins.
Operation 5 on Machine 3 duration 48 mins.
Operation 6 on Machine 6 duration 65 mins.
Operation 7 on Machine 7 duration 46 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 59 mins.
Operation 1 on Machine 4 duration 41 mins.
Operation 2 on Machine 5 duration 21 mins.
Operation 3 on Machine 6 duration 9 mins.
Operation 4 on Machine 7 duration 62 mins.
Operation 5 on Machine 3 duration 30 mins.
Operation 6 on Machine 1 duration 22 mins.
Operation 7 on Machine 0 duration 10 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 59 mins.
Operation 1 on Machine 0 duration 9 mins.
Operation 2 on Machine 3 duration 29 mins.
Operation 3 on Machine 6 duration 64 mins.
Operation 4 on Machine 5 duration 47 mins.
Operation 5 on Machine 4 duration 46 mins.
Operation 6 on Machine 7 duration 1 mins.
Operation 7 on Machine 1 duration 41 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 51 mins.
Operation 1 on Machine 3 duration 13 mins.
Operation 2 on Machine 6 duration 17 mins.
Operation 3 on Machine 4 duration 24 mins.
Operation 4 on Machine 2 duration 18 mins.
Operation 5 on Machine 7 duration 24 mins.
Operation 6 on Machine 0 duration 3 mins.
Operation 7 on Machine 1 duration 28 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 46 mins.
Operation 1 on Machine 5 duration 13 mins.
Operation 2 on Machine 4 duration 23 mins.
Operation 3 on Machine 6 duration 3 mins.
Operation 4 on Machine 2 duration 53 mins.
Operation 5 on Machine 7 duration 17 mins.
Operation 6 on Machine 3 duration 31 mins.
Operation 7 on Machine 0 duration 14 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 57 mins.
Operation 1 on Machine 4 duration 51 mins.
Operation 2 on Machine 7 duration 48 mins.
Operation 3 on Machine 6 duration 9 mins.
Operation 4 on Machine 0 duration 26 mins.
Operation 5 on Machine 3 duration 33 mins.
Operation 6 on Machine 2 duration 30 mins.
Operation 7 on Machine 5 duration 33 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 40 mins.
Operation 1 on Machine 5 duration 61 mins.
Operation 2 on Machine 6 duration 53 mins.
Operation 3 on Machine 7 duration 37 mins.
Operation 4 on Machine 2 duration 24 mins.
Operation 5 on Machine 4 duration 13 mins.
Operation 6 on Machine 1 duration 22 mins.
Operation 7 on Machine 0 duration 57 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 64 mins.
Operation 1 on Machine 1 duration 21 mins.
Operation 2 on Machine 3 duration 34 mins.
Operation 3 on Machine 7 duration 60 mins.
Operation 4 on Machine 4 duration 60 mins.
Operation 5 on Machine 2 duration 66 mins.
Operation 6 on Machine 5 duration 17 mins.
Operation 7 on Machine 6 duration 46 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 59 mins.
Operation 1 on Machine 6 duration 62 mins.
Operation 2 on Machine 0 duration 11 mins.
Operation 3 on Machine 3 duration 8 mins.
Operation 4 on Machine 1 duration 40 mins.
Operation 5 on Machine 4 duration 13 mins.
Operation 6 on Machine 7 duration 29 mins.
Operation 7 on Machine 5 duration 19 mins.
| null |
Optimize schedule for 9 Jobs across 8 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 39 mins.
Job 7 Operation 0 duration 64 mins.
Job 2 Operation 1 duration 9 mins.
Job 8 Operation 2 duration 11 mins.
Job 5 Operation 4 duration 26 mins.
Job 3 Operation 6 duration 3 mins.
Job 1 Operation 7 duration 10 mins.
Job 4 Operation 7 duration 14 mins.
Job 6 Operation 7 duration 57 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 46 mins.
Job 5 Operation 0 duration 57 mins.
Job 7 Operation 1 duration 21 mins.
Job 0 Operation 4 duration 34 mins.
Job 8 Operation 4 duration 40 mins.
Job 1 Operation 6 duration 22 mins.
Job 6 Operation 6 duration 22 mins.
Job 2 Operation 7 duration 41 mins.
Job 3 Operation 7 duration 28 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 59 mins.
Job 2 Operation 0 duration 59 mins.
Job 8 Operation 0 duration 59 mins.
Job 0 Operation 3 duration 61 mins.
Job 3 Operation 4 duration 18 mins.
Job 4 Operation 4 duration 53 mins.
Job 6 Operation 4 duration 24 mins.
Job 7 Operation 5 duration 66 mins.
Job 5 Operation 6 duration 30 mins.
Machine 3 is used for the following Operations:
Job 6 Operation 0 duration 40 mins.
Job 3 Operation 1 duration 13 mins.
Job 2 Operation 2 duration 29 mins.
Job 7 Operation 2 duration 34 mins.
Job 8 Operation 3 duration 8 mins.
Job 0 Operation 5 duration 48 mins.
Job 1 Operation 5 duration 30 mins.
Job 5 Operation 5 duration 33 mins.
Job 4 Operation 6 duration 31 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 1 duration 27 mins.
Job 1 Operation 1 duration 41 mins.
Job 5 Operation 1 duration 51 mins.
Job 4 Operation 2 duration 23 mins.
Job 3 Operation 3 duration 24 mins.
Job 7 Operation 4 duration 60 mins.
Job 2 Operation 5 duration 46 mins.
Job 6 Operation 5 duration 13 mins.
Job 8 Operation 5 duration 13 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 51 mins.
Job 4 Operation 1 duration 13 mins.
Job 6 Operation 1 duration 61 mins.
Job 0 Operation 2 duration 3 mins.
Job 1 Operation 2 duration 21 mins.
Job 2 Operation 4 duration 47 mins.
Job 7 Operation 6 duration 17 mins.
Job 5 Operation 7 duration 33 mins.
Job 8 Operation 7 duration 19 mins.
Machine 6 is used for the following Operations:
Job 8 Operation 1 duration 62 mins.
Job 3 Operation 2 duration 17 mins.
Job 6 Operation 2 duration 53 mins.
Job 1 Operation 3 duration 9 mins.
Job 2 Operation 3 duration 64 mins.
Job 4 Operation 3 duration 3 mins.
Job 5 Operation 3 duration 9 mins.
Job 0 Operation 6 duration 65 mins.
Job 7 Operation 7 duration 46 mins.
Machine 7 is used for the following Operations:
Job 5 Operation 2 duration 48 mins.
Job 6 Operation 3 duration 37 mins.
Job 7 Operation 3 duration 60 mins.
Job 1 Operation 4 duration 62 mins.
Job 3 Operation 5 duration 24 mins.
Job 4 Operation 5 duration 17 mins.
Job 2 Operation 6 duration 1 mins.
Job 8 Operation 6 duration 29 mins.
Job 0 Operation 7 duration 46 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 39 -> 39
Job 5 Operation 0 on Machine 1 : 0 + 57 -> 57
Job 8 Operation 0 on Machine 2 : 0 + 59 -> 59
Job 6 Operation 0 on Machine 3 : 0 + 40 -> 40
Job 3 Operation 0 on Machine 5 : 0 + 51 -> 51
Job 7 Operation 0 on Machine 0 : 39 + 64 -> 103
Job 3 Operation 1 on Machine 3 : 51 + 13 -> 64
Job 6 Operation 1 on Machine 5 : 51 + 61 -> 112
Job 4 Operation 0 on Machine 1 : 57 + 46 -> 103
Job 5 Operation 1 on Machine 4 : 57 + 51 -> 108
Job 1 Operation 0 on Machine 2 : 59 + 59 -> 118
Job 3 Operation 2 on Machine 6 : 64 + 17 -> 81
Job 8 Operation 1 on Machine 6 : 81 + 62 -> 143
Job 7 Operation 1 on Machine 1 : 103 + 21 -> 124
Job 3 Operation 3 on Machine 4 : 108 + 24 -> 132
Job 5 Operation 2 on Machine 7 : 108 + 48 -> 156
Job 4 Operation 1 on Machine 5 : 112 + 13 -> 125
Job 2 Operation 0 on Machine 2 : 118 + 59 -> 177
Job 7 Operation 2 on Machine 3 : 124 + 34 -> 158
Job 0 Operation 1 on Machine 4 : 132 + 27 -> 159
Job 8 Operation 2 on Machine 0 : 143 + 11 -> 154
Job 6 Operation 2 on Machine 6 : 143 + 53 -> 196
Job 8 Operation 3 on Machine 3 : 158 + 8 -> 166
Job 7 Operation 3 on Machine 7 : 158 + 60 -> 218
Job 1 Operation 1 on Machine 4 : 159 + 41 -> 200
Job 0 Operation 2 on Machine 5 : 159 + 3 -> 162
Job 8 Operation 4 on Machine 1 : 166 + 40 -> 206
Job 2 Operation 1 on Machine 0 : 177 + 9 -> 186
Job 3 Operation 4 on Machine 2 : 177 + 18 -> 195
Job 2 Operation 2 on Machine 3 : 186 + 29 -> 215
Job 0 Operation 3 on Machine 2 : 195 + 61 -> 256
Job 5 Operation 3 on Machine 6 : 196 + 9 -> 205
Job 1 Operation 2 on Machine 5 : 200 + 21 -> 221
Job 5 Operation 4 on Machine 0 : 205 + 26 -> 231
Job 7 Operation 4 on Machine 4 : 218 + 60 -> 278
Job 6 Operation 3 on Machine 7 : 218 + 37 -> 255
Job 1 Operation 3 on Machine 6 : 221 + 9 -> 230
Job 2 Operation 3 on Machine 6 : 230 + 64 -> 294
Job 5 Operation 5 on Machine 3 : 231 + 33 -> 264
Job 3 Operation 5 on Machine 7 : 255 + 24 -> 279
Job 0 Operation 4 on Machine 1 : 256 + 34 -> 290
Job 6 Operation 4 on Machine 2 : 256 + 24 -> 280
Job 3 Operation 6 on Machine 0 : 279 + 3 -> 282
Job 1 Operation 4 on Machine 7 : 279 + 62 -> 341
Job 7 Operation 5 on Machine 2 : 280 + 66 -> 346
Job 6 Operation 5 on Machine 4 : 280 + 13 -> 293
Job 3 Operation 7 on Machine 1 : 290 + 28 -> 318
Job 0 Operation 5 on Machine 3 : 290 + 48 -> 338
Job 4 Operation 2 on Machine 4 : 293 + 23 -> 316
Job 2 Operation 4 on Machine 5 : 294 + 47 -> 341
Job 8 Operation 5 on Machine 4 : 316 + 13 -> 329
Job 4 Operation 3 on Machine 6 : 316 + 3 -> 319
Job 6 Operation 6 on Machine 1 : 318 + 22 -> 340
Job 0 Operation 6 on Machine 6 : 338 + 65 -> 403
Job 6 Operation 7 on Machine 0 : 340 + 57 -> 397
Job 1 Operation 5 on Machine 3 : 341 + 30 -> 371
Job 2 Operation 5 on Machine 4 : 341 + 46 -> 387
Job 8 Operation 6 on Machine 7 : 341 + 29 -> 370
Job 4 Operation 4 on Machine 2 : 346 + 53 -> 399
Job 7 Operation 6 on Machine 5 : 346 + 17 -> 363
Job 8 Operation 7 on Machine 5 : 370 + 19 -> 389
Job 1 Operation 6 on Machine 1 : 371 + 22 -> 393
Job 2 Operation 6 on Machine 7 : 387 + 1 -> 388
Job 2 Operation 7 on Machine 1 : 393 + 41 -> 434
Job 1 Operation 7 on Machine 0 : 397 + 10 -> 407
Job 5 Operation 6 on Machine 2 : 399 + 30 -> 429
Job 4 Operation 5 on Machine 7 : 399 + 17 -> 416
Job 7 Operation 7 on Machine 6 : 403 + 46 -> 449
Job 4 Operation 6 on Machine 3 : 416 + 31 -> 447
Job 0 Operation 7 on Machine 7 : 416 + 46 -> 462
Job 5 Operation 7 on Machine 5 : 429 + 33 -> 462
Job 4 Operation 7 on Machine 0 : 447 + 14 -> 461
Makespan: 462.0, as it is the maximum end completion time of Operation 7
| null |
|
20 | 20 |
Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 16 duration 49 mins.
Operation 1 on Machine 0 duration 52 mins.
Operation 2 on Machine 14 duration 37 mins.
Operation 3 on Machine 7 duration 6 mins.
Operation 4 on Machine 18 duration 8 mins.
Operation 5 on Machine 10 duration 39 mins.
Operation 6 on Machine 15 duration 36 mins.
Operation 7 on Machine 2 duration 57 mins.
Operation 8 on Machine 17 duration 68 mins.
Operation 9 on Machine 1 duration 70 mins.
Operation 10 on Machine 3 duration 43 mins.
Operation 11 on Machine 5 duration 29 mins.
Operation 12 on Machine 19 duration 13 mins.
Operation 13 on Machine 13 duration 18 mins.
Operation 14 on Machine 11 duration 55 mins.
Operation 15 on Machine 6 duration 57 mins.
Operation 16 on Machine 12 duration 22 mins.
Operation 17 on Machine 9 duration 14 mins.
Operation 18 on Machine 8 duration 70 mins.
Operation 19 on Machine 4 duration 53 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 15 mins.
Operation 1 on Machine 7 duration 54 mins.
Operation 2 on Machine 9 duration 27 mins.
Operation 3 on Machine 6 duration 39 mins.
Operation 4 on Machine 2 duration 68 mins.
Operation 5 on Machine 13 duration 61 mins.
Operation 6 on Machine 14 duration 39 mins.
Operation 7 on Machine 15 duration 12 mins.
Operation 8 on Machine 17 duration 51 mins.
Operation 9 on Machine 19 duration 21 mins.
Operation 10 on Machine 10 duration 53 mins.
Operation 11 on Machine 12 duration 20 mins.
Operation 12 on Machine 11 duration 64 mins.
Operation 13 on Machine 5 duration 27 mins.
Operation 14 on Machine 3 duration 16 mins.
Operation 15 on Machine 8 duration 52 mins.
Operation 16 on Machine 18 duration 15 mins.
Operation 17 on Machine 1 duration 5 mins.
Operation 18 on Machine 0 duration 47 mins.
Operation 19 on Machine 16 duration 1 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 28 mins.
Operation 1 on Machine 3 duration 10 mins.
Operation 2 on Machine 18 duration 66 mins.
Operation 3 on Machine 14 duration 65 mins.
Operation 4 on Machine 13 duration 42 mins.
Operation 5 on Machine 2 duration 50 mins.
Operation 6 on Machine 5 duration 40 mins.
Operation 7 on Machine 4 duration 46 mins.
Operation 8 on Machine 9 duration 26 mins.
Operation 9 on Machine 10 duration 39 mins.
Operation 10 on Machine 16 duration 40 mins.
Operation 11 on Machine 7 duration 34 mins.
Operation 12 on Machine 12 duration 23 mins.
Operation 13 on Machine 11 duration 67 mins.
Operation 14 on Machine 19 duration 25 mins.
Operation 15 on Machine 17 duration 9 mins.
Operation 16 on Machine 15 duration 8 mins.
Operation 17 on Machine 6 duration 27 mins.
Operation 18 on Machine 0 duration 67 mins.
Operation 19 on Machine 8 duration 17 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 5 duration 15 mins.
Operation 1 on Machine 3 duration 44 mins.
Operation 2 on Machine 18 duration 13 mins.
Operation 3 on Machine 13 duration 11 mins.
Operation 4 on Machine 19 duration 58 mins.
Operation 5 on Machine 7 duration 12 mins.
Operation 6 on Machine 6 duration 21 mins.
Operation 7 on Machine 8 duration 67 mins.
Operation 8 on Machine 2 duration 21 mins.
Operation 9 on Machine 12 duration 37 mins.
Operation 10 on Machine 15 duration 51 mins.
Operation 11 on Machine 0 duration 60 mins.
Operation 12 on Machine 17 duration 65 mins.
Operation 13 on Machine 4 duration 60 mins.
Operation 14 on Machine 9 duration 48 mins.
Operation 15 on Machine 14 duration 12 mins.
Operation 16 on Machine 11 duration 58 mins.
Operation 17 on Machine 1 duration 25 mins.
Operation 18 on Machine 10 duration 58 mins.
Operation 19 on Machine 16 duration 59 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 11 duration 50 mins.
Operation 1 on Machine 14 duration 5 mins.
Operation 2 on Machine 17 duration 32 mins.
Operation 3 on Machine 15 duration 35 mins.
Operation 4 on Machine 1 duration 22 mins.
Operation 5 on Machine 5 duration 33 mins.
Operation 6 on Machine 19 duration 63 mins.
Operation 7 on Machine 18 duration 13 mins.
Operation 8 on Machine 10 duration 37 mins.
Operation 9 on Machine 3 duration 49 mins.
Operation 10 on Machine 6 duration 9 mins.
Operation 11 on Machine 12 duration 48 mins.
Operation 12 on Machine 7 duration 70 mins.
Operation 13 on Machine 13 duration 48 mins.
Operation 14 on Machine 16 duration 42 mins.
Operation 15 on Machine 9 duration 24 mins.
Operation 16 on Machine 8 duration 18 mins.
Operation 17 on Machine 0 duration 26 mins.
Operation 18 on Machine 2 duration 56 mins.
Operation 19 on Machine 4 duration 67 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 8 duration 54 mins.
Operation 1 on Machine 19 duration 46 mins.
Operation 2 on Machine 13 duration 1 mins.
Operation 3 on Machine 10 duration 3 mins.
Operation 4 on Machine 0 duration 15 mins.
Operation 5 on Machine 16 duration 3 mins.
Operation 6 on Machine 18 duration 50 mins.
Operation 7 on Machine 4 duration 39 mins.
Operation 8 on Machine 15 duration 12 mins.
Operation 9 on Machine 6 duration 2 mins.
Operation 10 on Machine 3 duration 20 mins.
Operation 11 on Machine 1 duration 5 mins.
Operation 12 on Machine 2 duration 55 mins.
Operation 13 on Machine 9 duration 1 mins.
Operation 14 on Machine 14 duration 18 mins.
Operation 15 on Machine 7 duration 6 mins.
Operation 16 on Machine 17 duration 2 mins.
Operation 17 on Machine 12 duration 6 mins.
Operation 18 on Machine 5 duration 43 mins.
Operation 19 on Machine 11 duration 9 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 16 mins.
Operation 1 on Machine 14 duration 24 mins.
Operation 2 on Machine 4 duration 11 mins.
Operation 3 on Machine 8 duration 39 mins.
Operation 4 on Machine 1 duration 6 mins.
Operation 5 on Machine 3 duration 44 mins.
Operation 6 on Machine 10 duration 32 mins.
Operation 7 on Machine 15 duration 25 mins.
Operation 8 on Machine 11 duration 33 mins.
Operation 9 on Machine 5 duration 70 mins.
Operation 10 on Machine 2 duration 64 mins.
Operation 11 on Machine 18 duration 55 mins.
Operation 12 on Machine 19 duration 50 mins.
Operation 13 on Machine 12 duration 51 mins.
Operation 14 on Machine 13 duration 12 mins.
Operation 15 on Machine 7 duration 57 mins.
Operation 16 on Machine 9 duration 27 mins.
Operation 17 on Machine 16 duration 43 mins.
Operation 18 on Machine 0 duration 21 mins.
Operation 19 on Machine 17 duration 12 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 17 duration 8 mins.
Operation 1 on Machine 7 duration 58 mins.
Operation 2 on Machine 19 duration 67 mins.
Operation 3 on Machine 12 duration 59 mins.
Operation 4 on Machine 5 duration 40 mins.
Operation 5 on Machine 16 duration 40 mins.
Operation 6 on Machine 13 duration 8 mins.
Operation 7 on Machine 6 duration 54 mins.
Operation 8 on Machine 4 duration 41 mins.
Operation 9 on Machine 1 duration 4 mins.
Operation 10 on Machine 11 duration 69 mins.
Operation 11 on Machine 15 duration 23 mins.
Operation 12 on Machine 9 duration 5 mins.
Operation 13 on Machine 3 duration 25 mins.
Operation 14 on Machine 14 duration 51 mins.
Operation 15 on Machine 18 duration 10 mins.
Operation 16 on Machine 2 duration 36 mins.
Operation 17 on Machine 8 duration 16 mins.
Operation 18 on Machine 10 duration 64 mins.
Operation 19 on Machine 0 duration 53 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 9 duration 42 mins.
Operation 1 on Machine 12 duration 6 mins.
Operation 2 on Machine 0 duration 59 mins.
Operation 3 on Machine 10 duration 64 mins.
Operation 4 on Machine 6 duration 65 mins.
Operation 5 on Machine 17 duration 12 mins.
Operation 6 on Machine 5 duration 45 mins.
Operation 7 on Machine 2 duration 37 mins.
Operation 8 on Machine 19 duration 57 mins.
Operation 9 on Machine 3 duration 18 mins.
Operation 10 on Machine 13 duration 59 mins.
Operation 11 on Machine 14 duration 70 mins.
Operation 12 on Machine 15 duration 46 mins.
Operation 13 on Machine 11 duration 58 mins.
Operation 14 on Machine 1 duration 70 mins.
Operation 15 on Machine 16 duration 10 mins.
Operation 16 on Machine 8 duration 31 mins.
Operation 17 on Machine 4 duration 19 mins.
Operation 18 on Machine 7 duration 38 mins.
Operation 19 on Machine 18 duration 24 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 13 duration 21 mins.
Operation 1 on Machine 11 duration 28 mins.
Operation 2 on Machine 1 duration 18 mins.
Operation 3 on Machine 8 duration 44 mins.
Operation 4 on Machine 2 duration 12 mins.
Operation 5 on Machine 14 duration 66 mins.
Operation 6 on Machine 7 duration 33 mins.
Operation 7 on Machine 19 duration 13 mins.
Operation 8 on Machine 5 duration 31 mins.
Operation 9 on Machine 9 duration 9 mins.
Operation 10 on Machine 3 duration 8 mins.
Operation 11 on Machine 17 duration 7 mins.
Operation 12 on Machine 16 duration 33 mins.
Operation 13 on Machine 12 duration 68 mins.
Operation 14 on Machine 4 duration 25 mins.
Operation 15 on Machine 10 duration 52 mins.
Operation 16 on Machine 18 duration 22 mins.
Operation 17 on Machine 6 duration 54 mins.
Operation 18 on Machine 15 duration 66 mins.
Operation 19 on Machine 0 duration 33 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 4 duration 12 mins.
Operation 1 on Machine 0 duration 8 mins.
Operation 2 on Machine 5 duration 30 mins.
Operation 3 on Machine 14 duration 36 mins.
Operation 4 on Machine 6 duration 11 mins.
Operation 5 on Machine 13 duration 11 mins.
Operation 6 on Machine 12 duration 38 mins.
Operation 7 on Machine 9 duration 7 mins.
Operation 8 on Machine 3 duration 16 mins.
Operation 9 on Machine 2 duration 61 mins.
Operation 10 on Machine 8 duration 45 mins.
Operation 11 on Machine 15 duration 41 mins.
Operation 12 on Machine 7 duration 49 mins.
Operation 13 on Machine 10 duration 39 mins.
Operation 14 on Machine 1 duration 27 mins.
Operation 15 on Machine 18 duration 15 mins.
Operation 16 on Machine 17 duration 68 mins.
Operation 17 on Machine 16 duration 58 mins.
Operation 18 on Machine 19 duration 23 mins.
Operation 19 on Machine 11 duration 46 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 11 duration 15 mins.
Operation 1 on Machine 3 duration 29 mins.
Operation 2 on Machine 4 duration 64 mins.
Operation 3 on Machine 5 duration 44 mins.
Operation 4 on Machine 17 duration 27 mins.
Operation 5 on Machine 16 duration 28 mins.
Operation 6 on Machine 15 duration 49 mins.
Operation 7 on Machine 2 duration 44 mins.
Operation 8 on Machine 9 duration 51 mins.
Operation 9 on Machine 12 duration 3 mins.
Operation 10 on Machine 13 duration 29 mins.
Operation 11 on Machine 0 duration 14 mins.
Operation 12 on Machine 18 duration 29 mins.
Operation 13 on Machine 8 duration 67 mins.
Operation 14 on Machine 14 duration 27 mins.
Operation 15 on Machine 19 duration 60 mins.
Operation 16 on Machine 7 duration 3 mins.
Operation 17 on Machine 6 duration 70 mins.
Operation 18 on Machine 1 duration 18 mins.
Operation 19 on Machine 10 duration 1 mins.
Job 12 consists of the following Operations:
Operation 0 on Machine 14 duration 61 mins.
Operation 1 on Machine 1 duration 55 mins.
Operation 2 on Machine 3 duration 64 mins.
Operation 3 on Machine 12 duration 31 mins.
Operation 4 on Machine 11 duration 40 mins.
Operation 5 on Machine 10 duration 57 mins.
Operation 6 on Machine 8 duration 62 mins.
Operation 7 on Machine 4 duration 36 mins.
Operation 8 on Machine 13 duration 64 mins.
Operation 9 on Machine 2 duration 54 mins.
Operation 10 on Machine 7 duration 28 mins.
Operation 11 on Machine 6 duration 67 mins.
Operation 12 on Machine 18 duration 25 mins.
Operation 13 on Machine 9 duration 16 mins.
Operation 14 on Machine 0 duration 15 mins.
Operation 15 on Machine 15 duration 50 mins.
Operation 16 on Machine 16 duration 1 mins.
Operation 17 on Machine 17 duration 24 mins.
Operation 18 on Machine 19 duration 59 mins.
Operation 19 on Machine 5 duration 41 mins.
Job 13 consists of the following Operations:
Operation 0 on Machine 3 duration 61 mins.
Operation 1 on Machine 16 duration 36 mins.
Operation 2 on Machine 2 duration 20 mins.
Operation 3 on Machine 5 duration 50 mins.
Operation 4 on Machine 19 duration 30 mins.
Operation 5 on Machine 0 duration 24 mins.
Operation 6 on Machine 7 duration 6 mins.
Operation 7 on Machine 1 duration 60 mins.
Operation 8 on Machine 13 duration 37 mins.
Operation 9 on Machine 9 duration 6 mins.
Operation 10 on Machine 6 duration 1 mins.
Operation 11 on Machine 12 duration 54 mins.
Operation 12 on Machine 11 duration 54 mins.
Operation 13 on Machine 10 duration 21 mins.
Operation 14 on Machine 15 duration 24 mins.
Operation 15 on Machine 17 duration 46 mins.
Operation 16 on Machine 8 duration 50 mins.
Operation 17 on Machine 14 duration 48 mins.
Operation 18 on Machine 4 duration 49 mins.
Operation 19 on Machine 18 duration 45 mins.
Job 14 consists of the following Operations:
Operation 0 on Machine 19 duration 3 mins.
Operation 1 on Machine 17 duration 50 mins.
Operation 2 on Machine 6 duration 55 mins.
Operation 3 on Machine 14 duration 33 mins.
Operation 4 on Machine 5 duration 3 mins.
Operation 5 on Machine 1 duration 32 mins.
Operation 6 on Machine 15 duration 67 mins.
Operation 7 on Machine 16 duration 63 mins.
Operation 8 on Machine 10 duration 21 mins.
Operation 9 on Machine 8 duration 15 mins.
Operation 10 on Machine 7 duration 68 mins.
Operation 11 on Machine 9 duration 22 mins.
Operation 12 on Machine 4 duration 70 mins.
Operation 13 on Machine 12 duration 11 mins.
Operation 14 on Machine 2 duration 66 mins.
Operation 15 on Machine 13 duration 60 mins.
Operation 16 on Machine 18 duration 56 mins.
Operation 17 on Machine 3 duration 15 mins.
Operation 18 on Machine 0 duration 20 mins.
Operation 19 on Machine 11 duration 46 mins.
Job 15 consists of the following Operations:
Operation 0 on Machine 10 duration 67 mins.
Operation 1 on Machine 19 duration 51 mins.
Operation 2 on Machine 15 duration 38 mins.
Operation 3 on Machine 12 duration 58 mins.
Operation 4 on Machine 18 duration 42 mins.
Operation 5 on Machine 8 duration 33 mins.
Operation 6 on Machine 5 duration 45 mins.
Operation 7 on Machine 9 duration 68 mins.
Operation 8 on Machine 1 duration 46 mins.
Operation 9 on Machine 3 duration 16 mins.
Operation 10 on Machine 11 duration 48 mins.
Operation 11 on Machine 14 duration 5 mins.
Operation 12 on Machine 7 duration 34 mins.
Operation 13 on Machine 17 duration 31 mins.
Operation 14 on Machine 0 duration 32 mins.
Operation 15 on Machine 16 duration 22 mins.
Operation 16 on Machine 6 duration 43 mins.
Operation 17 on Machine 2 duration 22 mins.
Operation 18 on Machine 13 duration 53 mins.
Operation 19 on Machine 4 duration 67 mins.
Job 16 consists of the following Operations:
Operation 0 on Machine 14 duration 23 mins.
Operation 1 on Machine 8 duration 51 mins.
Operation 2 on Machine 2 duration 51 mins.
Operation 3 on Machine 0 duration 45 mins.
Operation 4 on Machine 17 duration 23 mins.
Operation 5 on Machine 7 duration 70 mins.
Operation 6 on Machine 13 duration 60 mins.
Operation 7 on Machine 4 duration 37 mins.
Operation 8 on Machine 6 duration 1 mins.
Operation 9 on Machine 19 duration 5 mins.
Operation 10 on Machine 16 duration 28 mins.
Operation 11 on Machine 11 duration 28 mins.
Operation 12 on Machine 1 duration 30 mins.
Operation 13 on Machine 18 duration 27 mins.
Operation 14 on Machine 10 duration 40 mins.
Operation 15 on Machine 5 duration 67 mins.
Operation 16 on Machine 15 duration 23 mins.
Operation 17 on Machine 12 duration 62 mins.
Operation 18 on Machine 3 duration 1 mins.
Operation 19 on Machine 9 duration 45 mins.
Job 17 consists of the following Operations:
Operation 0 on Machine 11 duration 46 mins.
Operation 1 on Machine 19 duration 36 mins.
Operation 2 on Machine 13 duration 61 mins.
Operation 3 on Machine 14 duration 34 mins.
Operation 4 on Machine 18 duration 36 mins.
Operation 5 on Machine 9 duration 43 mins.
Operation 6 on Machine 3 duration 14 mins.
Operation 7 on Machine 1 duration 25 mins.
Operation 8 on Machine 10 duration 65 mins.
Operation 9 on Machine 8 duration 57 mins.
Operation 10 on Machine 5 duration 38 mins.
Operation 11 on Machine 16 duration 69 mins.
Operation 12 on Machine 7 duration 38 mins.
Operation 13 on Machine 12 duration 55 mins.
Operation 14 on Machine 6 duration 20 mins.
Operation 15 on Machine 4 duration 6 mins.
Operation 16 on Machine 15 duration 35 mins.
Operation 17 on Machine 17 duration 11 mins.
Operation 18 on Machine 2 duration 36 mins.
Operation 19 on Machine 0 duration 54 mins.
Job 18 consists of the following Operations:
Operation 0 on Machine 1 duration 24 mins.
Operation 1 on Machine 4 duration 28 mins.
Operation 2 on Machine 11 duration 49 mins.
Operation 3 on Machine 17 duration 1 mins.
Operation 4 on Machine 2 duration 22 mins.
Operation 5 on Machine 19 duration 20 mins.
Operation 6 on Machine 9 duration 22 mins.
Operation 7 on Machine 0 duration 30 mins.
Operation 8 on Machine 15 duration 47 mins.
Operation 9 on Machine 10 duration 52 mins.
Operation 10 on Machine 13 duration 10 mins.
Operation 11 on Machine 18 duration 47 mins.
Operation 12 on Machine 14 duration 12 mins.
Operation 13 on Machine 12 duration 53 mins.
Operation 14 on Machine 7 duration 53 mins.
Operation 15 on Machine 6 duration 13 mins.
Operation 16 on Machine 16 duration 48 mins.
Operation 17 on Machine 3 duration 32 mins.
Operation 18 on Machine 5 duration 69 mins.
Operation 19 on Machine 8 duration 25 mins.
Job 19 consists of the following Operations:
Operation 0 on Machine 10 duration 50 mins.
Operation 1 on Machine 17 duration 44 mins.
Operation 2 on Machine 13 duration 18 mins.
Operation 3 on Machine 5 duration 26 mins.
Operation 4 on Machine 19 duration 24 mins.
Operation 5 on Machine 9 duration 39 mins.
Operation 6 on Machine 18 duration 15 mins.
Operation 7 on Machine 15 duration 36 mins.
Operation 8 on Machine 1 duration 13 mins.
Operation 9 on Machine 6 duration 40 mins.
Operation 10 on Machine 7 duration 69 mins.
Operation 11 on Machine 4 duration 26 mins.
Operation 12 on Machine 11 duration 58 mins.
Operation 13 on Machine 8 duration 52 mins.
Operation 14 on Machine 16 duration 63 mins.
Operation 15 on Machine 3 duration 61 mins.
Operation 16 on Machine 12 duration 57 mins.
Operation 17 on Machine 14 duration 16 mins.
Operation 18 on Machine 0 duration 50 mins.
Operation 19 on Machine 2 duration 3 mins.
| null |
Optimize schedule for 20 Jobs across 20 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 1 duration 52 mins.
Job 10 Operation 1 duration 8 mins.
Job 8 Operation 2 duration 59 mins.
Job 16 Operation 3 duration 45 mins.
Job 5 Operation 4 duration 15 mins.
Job 13 Operation 5 duration 24 mins.
Job 18 Operation 7 duration 30 mins.
Job 3 Operation 11 duration 60 mins.
Job 11 Operation 11 duration 14 mins.
Job 12 Operation 14 duration 15 mins.
Job 15 Operation 14 duration 32 mins.
Job 4 Operation 17 duration 26 mins.
Job 1 Operation 18 duration 47 mins.
Job 2 Operation 18 duration 67 mins.
Job 6 Operation 18 duration 21 mins.
Job 14 Operation 18 duration 20 mins.
Job 19 Operation 18 duration 50 mins.
Job 7 Operation 19 duration 53 mins.
Job 9 Operation 19 duration 33 mins.
Job 17 Operation 19 duration 54 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 28 mins.
Job 18 Operation 0 duration 24 mins.
Job 12 Operation 1 duration 55 mins.
Job 9 Operation 2 duration 18 mins.
Job 4 Operation 4 duration 22 mins.
Job 6 Operation 4 duration 6 mins.
Job 14 Operation 5 duration 32 mins.
Job 13 Operation 7 duration 60 mins.
Job 17 Operation 7 duration 25 mins.
Job 15 Operation 8 duration 46 mins.
Job 19 Operation 8 duration 13 mins.
Job 0 Operation 9 duration 70 mins.
Job 7 Operation 9 duration 4 mins.
Job 5 Operation 11 duration 5 mins.
Job 16 Operation 12 duration 30 mins.
Job 8 Operation 14 duration 70 mins.
Job 10 Operation 14 duration 27 mins.
Job 1 Operation 17 duration 5 mins.
Job 3 Operation 17 duration 25 mins.
Job 11 Operation 18 duration 18 mins.
Machine 2 is used for the following Operations:
Job 13 Operation 2 duration 20 mins.
Job 16 Operation 2 duration 51 mins.
Job 1 Operation 4 duration 68 mins.
Job 9 Operation 4 duration 12 mins.
Job 18 Operation 4 duration 22 mins.
Job 2 Operation 5 duration 50 mins.
Job 0 Operation 7 duration 57 mins.
Job 8 Operation 7 duration 37 mins.
Job 11 Operation 7 duration 44 mins.
Job 3 Operation 8 duration 21 mins.
Job 10 Operation 9 duration 61 mins.
Job 12 Operation 9 duration 54 mins.
Job 6 Operation 10 duration 64 mins.
Job 5 Operation 12 duration 55 mins.
Job 14 Operation 14 duration 66 mins.
Job 7 Operation 16 duration 36 mins.
Job 15 Operation 17 duration 22 mins.
Job 4 Operation 18 duration 56 mins.
Job 17 Operation 18 duration 36 mins.
Job 19 Operation 19 duration 3 mins.
Machine 3 is used for the following Operations:
Job 13 Operation 0 duration 61 mins.
Job 2 Operation 1 duration 10 mins.
Job 3 Operation 1 duration 44 mins.
Job 11 Operation 1 duration 29 mins.
Job 12 Operation 2 duration 64 mins.
Job 6 Operation 5 duration 44 mins.
Job 17 Operation 6 duration 14 mins.
Job 10 Operation 8 duration 16 mins.
Job 4 Operation 9 duration 49 mins.
Job 8 Operation 9 duration 18 mins.
Job 15 Operation 9 duration 16 mins.
Job 0 Operation 10 duration 43 mins.
Job 5 Operation 10 duration 20 mins.
Job 9 Operation 10 duration 8 mins.
Job 7 Operation 13 duration 25 mins.
Job 1 Operation 14 duration 16 mins.
Job 19 Operation 15 duration 61 mins.
Job 14 Operation 17 duration 15 mins.
Job 18 Operation 17 duration 32 mins.
Job 16 Operation 18 duration 1 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 15 mins.
Job 10 Operation 0 duration 12 mins.
Job 18 Operation 1 duration 28 mins.
Job 6 Operation 2 duration 11 mins.
Job 11 Operation 2 duration 64 mins.
Job 2 Operation 7 duration 46 mins.
Job 5 Operation 7 duration 39 mins.
Job 12 Operation 7 duration 36 mins.
Job 16 Operation 7 duration 37 mins.
Job 7 Operation 8 duration 41 mins.
Job 19 Operation 11 duration 26 mins.
Job 14 Operation 12 duration 70 mins.
Job 3 Operation 13 duration 60 mins.
Job 9 Operation 14 duration 25 mins.
Job 17 Operation 15 duration 6 mins.
Job 8 Operation 17 duration 19 mins.
Job 13 Operation 18 duration 49 mins.
Job 0 Operation 19 duration 53 mins.
Job 4 Operation 19 duration 67 mins.
Job 15 Operation 19 duration 67 mins.
Machine 5 is used for the following Operations:
Job 3 Operation 0 duration 15 mins.
Job 10 Operation 2 duration 30 mins.
Job 11 Operation 3 duration 44 mins.
Job 13 Operation 3 duration 50 mins.
Job 19 Operation 3 duration 26 mins.
Job 7 Operation 4 duration 40 mins.
Job 14 Operation 4 duration 3 mins.
Job 4 Operation 5 duration 33 mins.
Job 2 Operation 6 duration 40 mins.
Job 8 Operation 6 duration 45 mins.
Job 15 Operation 6 duration 45 mins.
Job 9 Operation 8 duration 31 mins.
Job 6 Operation 9 duration 70 mins.
Job 17 Operation 10 duration 38 mins.
Job 0 Operation 11 duration 29 mins.
Job 1 Operation 13 duration 27 mins.
Job 16 Operation 15 duration 67 mins.
Job 5 Operation 18 duration 43 mins.
Job 18 Operation 18 duration 69 mins.
Job 12 Operation 19 duration 41 mins.
Machine 6 is used for the following Operations:
Job 6 Operation 0 duration 16 mins.
Job 14 Operation 2 duration 55 mins.
Job 1 Operation 3 duration 39 mins.
Job 8 Operation 4 duration 65 mins.
Job 10 Operation 4 duration 11 mins.
Job 3 Operation 6 duration 21 mins.
Job 7 Operation 7 duration 54 mins.
Job 16 Operation 8 duration 1 mins.
Job 5 Operation 9 duration 2 mins.
Job 19 Operation 9 duration 40 mins.
Job 4 Operation 10 duration 9 mins.
Job 13 Operation 10 duration 1 mins.
Job 12 Operation 11 duration 67 mins.
Job 17 Operation 14 duration 20 mins.
Job 0 Operation 15 duration 57 mins.
Job 18 Operation 15 duration 13 mins.
Job 15 Operation 16 duration 43 mins.
Job 2 Operation 17 duration 27 mins.
Job 9 Operation 17 duration 54 mins.
Job 11 Operation 17 duration 70 mins.
Machine 7 is used for the following Operations:
Job 1 Operation 1 duration 54 mins.
Job 7 Operation 1 duration 58 mins.
Job 0 Operation 3 duration 6 mins.
Job 3 Operation 5 duration 12 mins.
Job 16 Operation 5 duration 70 mins.
Job 9 Operation 6 duration 33 mins.
Job 13 Operation 6 duration 6 mins.
Job 12 Operation 10 duration 28 mins.
Job 14 Operation 10 duration 68 mins.
Job 19 Operation 10 duration 69 mins.
Job 2 Operation 11 duration 34 mins.
Job 4 Operation 12 duration 70 mins.
Job 10 Operation 12 duration 49 mins.
Job 15 Operation 12 duration 34 mins.
Job 17 Operation 12 duration 38 mins.
Job 18 Operation 14 duration 53 mins.
Job 5 Operation 15 duration 6 mins.
Job 6 Operation 15 duration 57 mins.
Job 11 Operation 16 duration 3 mins.
Job 8 Operation 18 duration 38 mins.
Machine 8 is used for the following Operations:
Job 5 Operation 0 duration 54 mins.
Job 16 Operation 1 duration 51 mins.
Job 6 Operation 3 duration 39 mins.
Job 9 Operation 3 duration 44 mins.
Job 15 Operation 5 duration 33 mins.
Job 12 Operation 6 duration 62 mins.
Job 3 Operation 7 duration 67 mins.
Job 14 Operation 9 duration 15 mins.
Job 17 Operation 9 duration 57 mins.
Job 10 Operation 10 duration 45 mins.
Job 11 Operation 13 duration 67 mins.
Job 19 Operation 13 duration 52 mins.
Job 1 Operation 15 duration 52 mins.
Job 4 Operation 16 duration 18 mins.
Job 8 Operation 16 duration 31 mins.
Job 13 Operation 16 duration 50 mins.
Job 7 Operation 17 duration 16 mins.
Job 0 Operation 18 duration 70 mins.
Job 2 Operation 19 duration 17 mins.
Job 18 Operation 19 duration 25 mins.
Machine 9 is used for the following Operations:
Job 8 Operation 0 duration 42 mins.
Job 1 Operation 2 duration 27 mins.
Job 17 Operation 5 duration 43 mins.
Job 19 Operation 5 duration 39 mins.
Job 18 Operation 6 duration 22 mins.
Job 10 Operation 7 duration 7 mins.
Job 15 Operation 7 duration 68 mins.
Job 2 Operation 8 duration 26 mins.
Job 11 Operation 8 duration 51 mins.
Job 9 Operation 9 duration 9 mins.
Job 13 Operation 9 duration 6 mins.
Job 14 Operation 11 duration 22 mins.
Job 7 Operation 12 duration 5 mins.
Job 5 Operation 13 duration 1 mins.
Job 12 Operation 13 duration 16 mins.
Job 3 Operation 14 duration 48 mins.
Job 4 Operation 15 duration 24 mins.
Job 6 Operation 16 duration 27 mins.
Job 0 Operation 17 duration 14 mins.
Job 16 Operation 19 duration 45 mins.
Machine 10 is used for the following Operations:
Job 15 Operation 0 duration 67 mins.
Job 19 Operation 0 duration 50 mins.
Job 5 Operation 3 duration 3 mins.
Job 8 Operation 3 duration 64 mins.
Job 0 Operation 5 duration 39 mins.
Job 12 Operation 5 duration 57 mins.
Job 6 Operation 6 duration 32 mins.
Job 4 Operation 8 duration 37 mins.
Job 14 Operation 8 duration 21 mins.
Job 17 Operation 8 duration 65 mins.
Job 2 Operation 9 duration 39 mins.
Job 18 Operation 9 duration 52 mins.
Job 1 Operation 10 duration 53 mins.
Job 10 Operation 13 duration 39 mins.
Job 13 Operation 13 duration 21 mins.
Job 16 Operation 14 duration 40 mins.
Job 9 Operation 15 duration 52 mins.
Job 3 Operation 18 duration 58 mins.
Job 7 Operation 18 duration 64 mins.
Job 11 Operation 19 duration 1 mins.
Machine 11 is used for the following Operations:
Job 4 Operation 0 duration 50 mins.
Job 11 Operation 0 duration 15 mins.
Job 17 Operation 0 duration 46 mins.
Job 9 Operation 1 duration 28 mins.
Job 18 Operation 2 duration 49 mins.
Job 12 Operation 4 duration 40 mins.
Job 6 Operation 8 duration 33 mins.
Job 7 Operation 10 duration 69 mins.
Job 15 Operation 10 duration 48 mins.
Job 16 Operation 11 duration 28 mins.
Job 1 Operation 12 duration 64 mins.
Job 13 Operation 12 duration 54 mins.
Job 19 Operation 12 duration 58 mins.
Job 2 Operation 13 duration 67 mins.
Job 8 Operation 13 duration 58 mins.
Job 0 Operation 14 duration 55 mins.
Job 3 Operation 16 duration 58 mins.
Job 5 Operation 19 duration 9 mins.
Job 10 Operation 19 duration 46 mins.
Job 14 Operation 19 duration 46 mins.
Machine 12 is used for the following Operations:
Job 8 Operation 1 duration 6 mins.
Job 7 Operation 3 duration 59 mins.
Job 12 Operation 3 duration 31 mins.
Job 15 Operation 3 duration 58 mins.
Job 10 Operation 6 duration 38 mins.
Job 3 Operation 9 duration 37 mins.
Job 11 Operation 9 duration 3 mins.
Job 1 Operation 11 duration 20 mins.
Job 4 Operation 11 duration 48 mins.
Job 13 Operation 11 duration 54 mins.
Job 2 Operation 12 duration 23 mins.
Job 6 Operation 13 duration 51 mins.
Job 9 Operation 13 duration 68 mins.
Job 14 Operation 13 duration 11 mins.
Job 17 Operation 13 duration 55 mins.
Job 18 Operation 13 duration 53 mins.
Job 0 Operation 16 duration 22 mins.
Job 19 Operation 16 duration 57 mins.
Job 5 Operation 17 duration 6 mins.
Job 16 Operation 17 duration 62 mins.
Machine 13 is used for the following Operations:
Job 9 Operation 0 duration 21 mins.
Job 5 Operation 2 duration 1 mins.
Job 17 Operation 2 duration 61 mins.
Job 19 Operation 2 duration 18 mins.
Job 3 Operation 3 duration 11 mins.
Job 2 Operation 4 duration 42 mins.
Job 1 Operation 5 duration 61 mins.
Job 10 Operation 5 duration 11 mins.
Job 7 Operation 6 duration 8 mins.
Job 16 Operation 6 duration 60 mins.
Job 12 Operation 8 duration 64 mins.
Job 13 Operation 8 duration 37 mins.
Job 8 Operation 10 duration 59 mins.
Job 11 Operation 10 duration 29 mins.
Job 18 Operation 10 duration 10 mins.
Job 0 Operation 13 duration 18 mins.
Job 4 Operation 13 duration 48 mins.
Job 6 Operation 14 duration 12 mins.
Job 14 Operation 15 duration 60 mins.
Job 15 Operation 18 duration 53 mins.
Machine 14 is used for the following Operations:
Job 12 Operation 0 duration 61 mins.
Job 16 Operation 0 duration 23 mins.
Job 4 Operation 1 duration 5 mins.
Job 6 Operation 1 duration 24 mins.
Job 0 Operation 2 duration 37 mins.
Job 2 Operation 3 duration 65 mins.
Job 10 Operation 3 duration 36 mins.
Job 14 Operation 3 duration 33 mins.
Job 17 Operation 3 duration 34 mins.
Job 9 Operation 5 duration 66 mins.
Job 1 Operation 6 duration 39 mins.
Job 8 Operation 11 duration 70 mins.
Job 15 Operation 11 duration 5 mins.
Job 18 Operation 12 duration 12 mins.
Job 5 Operation 14 duration 18 mins.
Job 7 Operation 14 duration 51 mins.
Job 11 Operation 14 duration 27 mins.
Job 3 Operation 15 duration 12 mins.
Job 13 Operation 17 duration 48 mins.
Job 19 Operation 17 duration 16 mins.
Machine 15 is used for the following Operations:
Job 15 Operation 2 duration 38 mins.
Job 4 Operation 3 duration 35 mins.
Job 0 Operation 6 duration 36 mins.
Job 11 Operation 6 duration 49 mins.
Job 14 Operation 6 duration 67 mins.
Job 1 Operation 7 duration 12 mins.
Job 6 Operation 7 duration 25 mins.
Job 19 Operation 7 duration 36 mins.
Job 5 Operation 8 duration 12 mins.
Job 18 Operation 8 duration 47 mins.
Job 3 Operation 10 duration 51 mins.
Job 7 Operation 11 duration 23 mins.
Job 10 Operation 11 duration 41 mins.
Job 8 Operation 12 duration 46 mins.
Job 13 Operation 14 duration 24 mins.
Job 12 Operation 15 duration 50 mins.
Job 2 Operation 16 duration 8 mins.
Job 16 Operation 16 duration 23 mins.
Job 17 Operation 16 duration 35 mins.
Job 9 Operation 18 duration 66 mins.
Machine 16 is used for the following Operations:
Job 0 Operation 0 duration 49 mins.
Job 13 Operation 1 duration 36 mins.
Job 5 Operation 5 duration 3 mins.
Job 7 Operation 5 duration 40 mins.
Job 11 Operation 5 duration 28 mins.
Job 14 Operation 7 duration 63 mins.
Job 2 Operation 10 duration 40 mins.
Job 16 Operation 10 duration 28 mins.
Job 17 Operation 11 duration 69 mins.
Job 9 Operation 12 duration 33 mins.
Job 4 Operation 14 duration 42 mins.
Job 19 Operation 14 duration 63 mins.
Job 8 Operation 15 duration 10 mins.
Job 15 Operation 15 duration 22 mins.
Job 12 Operation 16 duration 1 mins.
Job 18 Operation 16 duration 48 mins.
Job 6 Operation 17 duration 43 mins.
Job 10 Operation 17 duration 58 mins.
Job 1 Operation 19 duration 1 mins.
Job 3 Operation 19 duration 59 mins.
Machine 17 is used for the following Operations:
Job 7 Operation 0 duration 8 mins.
Job 14 Operation 1 duration 50 mins.
Job 19 Operation 1 duration 44 mins.
Job 4 Operation 2 duration 32 mins.
Job 18 Operation 3 duration 1 mins.
Job 11 Operation 4 duration 27 mins.
Job 16 Operation 4 duration 23 mins.
Job 8 Operation 5 duration 12 mins.
Job 0 Operation 8 duration 68 mins.
Job 1 Operation 8 duration 51 mins.
Job 9 Operation 11 duration 7 mins.
Job 3 Operation 12 duration 65 mins.
Job 15 Operation 13 duration 31 mins.
Job 2 Operation 15 duration 9 mins.
Job 13 Operation 15 duration 46 mins.
Job 5 Operation 16 duration 2 mins.
Job 10 Operation 16 duration 68 mins.
Job 12 Operation 17 duration 24 mins.
Job 17 Operation 17 duration 11 mins.
Job 6 Operation 19 duration 12 mins.
Machine 18 is used for the following Operations:
Job 2 Operation 2 duration 66 mins.
Job 3 Operation 2 duration 13 mins.
Job 0 Operation 4 duration 8 mins.
Job 15 Operation 4 duration 42 mins.
Job 17 Operation 4 duration 36 mins.
Job 5 Operation 6 duration 50 mins.
Job 19 Operation 6 duration 15 mins.
Job 4 Operation 7 duration 13 mins.
Job 6 Operation 11 duration 55 mins.
Job 18 Operation 11 duration 47 mins.
Job 11 Operation 12 duration 29 mins.
Job 12 Operation 12 duration 25 mins.
Job 16 Operation 13 duration 27 mins.
Job 7 Operation 15 duration 10 mins.
Job 10 Operation 15 duration 15 mins.
Job 1 Operation 16 duration 15 mins.
Job 9 Operation 16 duration 22 mins.
Job 14 Operation 16 duration 56 mins.
Job 8 Operation 19 duration 24 mins.
Job 13 Operation 19 duration 45 mins.
Machine 19 is used for the following Operations:
Job 14 Operation 0 duration 3 mins.
Job 5 Operation 1 duration 46 mins.
Job 15 Operation 1 duration 51 mins.
Job 17 Operation 1 duration 36 mins.
Job 7 Operation 2 duration 67 mins.
Job 3 Operation 4 duration 58 mins.
Job 13 Operation 4 duration 30 mins.
Job 19 Operation 4 duration 24 mins.
Job 18 Operation 5 duration 20 mins.
Job 4 Operation 6 duration 63 mins.
Job 9 Operation 7 duration 13 mins.
Job 8 Operation 8 duration 57 mins.
Job 1 Operation 9 duration 21 mins.
Job 16 Operation 9 duration 5 mins.
Job 0 Operation 12 duration 13 mins.
Job 6 Operation 12 duration 50 mins.
Job 2 Operation 14 duration 25 mins.
Job 11 Operation 15 duration 60 mins.
Job 10 Operation 18 duration 23 mins.
Job 12 Operation 18 duration 59 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 1 : 0 + 28 -> 28
Job 13 Operation 0 on Machine 3 : 0 + 61 -> 61
Job 1 Operation 0 on Machine 4 : 0 + 15 -> 15
Job 3 Operation 0 on Machine 5 : 0 + 15 -> 15
Job 6 Operation 0 on Machine 6 : 0 + 16 -> 16
Job 8 Operation 0 on Machine 9 : 0 + 42 -> 42
Job 19 Operation 0 on Machine 10 : 0 + 50 -> 50
Job 4 Operation 0 on Machine 11 : 0 + 50 -> 50
Job 9 Operation 0 on Machine 13 : 0 + 21 -> 21
Job 16 Operation 0 on Machine 14 : 0 + 23 -> 23
Job 0 Operation 0 on Machine 16 : 0 + 49 -> 49
Job 14 Operation 0 on Machine 19 : 0 + 3 -> 3
Job 14 Operation 1 on Machine 17 : 3 + 50 -> 53
Job 10 Operation 0 on Machine 4 : 15 + 12 -> 27
Job 1 Operation 1 on Machine 7 : 15 + 54 -> 69
Job 16 Operation 1 on Machine 8 : 23 + 51 -> 74
Job 6 Operation 1 on Machine 14 : 23 + 24 -> 47
Job 10 Operation 1 on Machine 0 : 27 + 8 -> 35
Job 18 Operation 0 on Machine 1 : 28 + 24 -> 52
Job 10 Operation 2 on Machine 5 : 35 + 30 -> 65
Job 8 Operation 1 on Machine 12 : 42 + 6 -> 48
Job 6 Operation 2 on Machine 4 : 47 + 11 -> 58
Job 8 Operation 2 on Machine 0 : 48 + 59 -> 107
Job 15 Operation 0 on Machine 10 : 50 + 67 -> 117
Job 11 Operation 0 on Machine 11 : 50 + 15 -> 65
Job 4 Operation 1 on Machine 14 : 50 + 5 -> 55
Job 19 Operation 1 on Machine 17 : 53 + 44 -> 97
Job 12 Operation 0 on Machine 14 : 55 + 61 -> 116
Job 18 Operation 1 on Machine 4 : 58 + 28 -> 86
Job 2 Operation 1 on Machine 3 : 61 + 10 -> 71
Job 13 Operation 1 on Machine 16 : 61 + 36 -> 97
Job 17 Operation 0 on Machine 11 : 65 + 46 -> 111
Job 1 Operation 2 on Machine 9 : 69 + 27 -> 96
Job 11 Operation 1 on Machine 3 : 71 + 29 -> 100
Job 2 Operation 2 on Machine 18 : 71 + 66 -> 137
Job 16 Operation 2 on Machine 2 : 74 + 51 -> 125
Job 6 Operation 3 on Machine 8 : 74 + 39 -> 113
Job 1 Operation 3 on Machine 6 : 96 + 39 -> 135
Job 19 Operation 2 on Machine 13 : 97 + 18 -> 115
Job 7 Operation 0 on Machine 17 : 97 + 8 -> 105
Job 11 Operation 2 on Machine 4 : 100 + 64 -> 164
Job 7 Operation 1 on Machine 7 : 105 + 58 -> 163
Job 4 Operation 2 on Machine 17 : 105 + 32 -> 137
Job 0 Operation 1 on Machine 0 : 107 + 52 -> 159
Job 9 Operation 1 on Machine 11 : 111 + 28 -> 139
Job 17 Operation 1 on Machine 19 : 111 + 36 -> 147
Job 6 Operation 4 on Machine 1 : 113 + 6 -> 119
Job 5 Operation 0 on Machine 8 : 113 + 54 -> 167
Job 19 Operation 3 on Machine 5 : 115 + 26 -> 141
Job 10 Operation 3 on Machine 14 : 116 + 36 -> 152
Job 12 Operation 1 on Machine 1 : 119 + 55 -> 174
Job 6 Operation 5 on Machine 3 : 119 + 44 -> 163
Job 1 Operation 4 on Machine 2 : 135 + 68 -> 203
Job 4 Operation 3 on Machine 15 : 137 + 35 -> 172
Job 18 Operation 2 on Machine 11 : 139 + 49 -> 188
Job 19 Operation 4 on Machine 19 : 147 + 24 -> 171
Job 10 Operation 4 on Machine 6 : 152 + 11 -> 163
Job 16 Operation 3 on Machine 0 : 159 + 45 -> 204
Job 0 Operation 2 on Machine 14 : 159 + 37 -> 196
Job 14 Operation 2 on Machine 6 : 163 + 55 -> 218
Job 6 Operation 6 on Machine 10 : 163 + 32 -> 195
Job 10 Operation 5 on Machine 13 : 163 + 11 -> 174
Job 11 Operation 3 on Machine 5 : 164 + 44 -> 208
Job 19 Operation 5 on Machine 9 : 171 + 39 -> 210
Job 7 Operation 2 on Machine 19 : 171 + 67 -> 238
Job 9 Operation 2 on Machine 1 : 174 + 18 -> 192
Job 12 Operation 2 on Machine 3 : 174 + 64 -> 238
Job 10 Operation 6 on Machine 12 : 174 + 38 -> 212
Job 18 Operation 3 on Machine 17 : 188 + 1 -> 189
Job 4 Operation 4 on Machine 1 : 192 + 22 -> 214
Job 9 Operation 3 on Machine 8 : 192 + 44 -> 236
Job 6 Operation 7 on Machine 15 : 195 + 25 -> 220
Job 0 Operation 3 on Machine 7 : 196 + 6 -> 202
Job 2 Operation 3 on Machine 14 : 196 + 65 -> 261
Job 0 Operation 4 on Machine 18 : 202 + 8 -> 210
Job 18 Operation 4 on Machine 2 : 203 + 22 -> 225
Job 1 Operation 5 on Machine 13 : 203 + 61 -> 264
Job 16 Operation 4 on Machine 17 : 204 + 23 -> 227
Job 0 Operation 5 on Machine 10 : 210 + 39 -> 249
Job 19 Operation 6 on Machine 18 : 210 + 15 -> 225
Job 10 Operation 7 on Machine 9 : 212 + 7 -> 219
Job 4 Operation 5 on Machine 5 : 214 + 33 -> 247
Job 6 Operation 8 on Machine 11 : 220 + 33 -> 253
Job 13 Operation 2 on Machine 2 : 225 + 20 -> 245
Job 19 Operation 7 on Machine 15 : 225 + 36 -> 261
Job 16 Operation 5 on Machine 7 : 227 + 70 -> 297
Job 11 Operation 4 on Machine 17 : 227 + 27 -> 254
Job 3 Operation 1 on Machine 3 : 238 + 44 -> 282
Job 12 Operation 3 on Machine 12 : 238 + 31 -> 269
Job 9 Operation 4 on Machine 2 : 245 + 12 -> 257
Job 4 Operation 6 on Machine 19 : 247 + 63 -> 310
Job 8 Operation 3 on Machine 10 : 249 + 64 -> 313
Job 6 Operation 9 on Machine 5 : 253 + 70 -> 323
Job 11 Operation 5 on Machine 16 : 254 + 28 -> 282
Job 19 Operation 8 on Machine 1 : 261 + 13 -> 274
Job 0 Operation 6 on Machine 15 : 261 + 36 -> 297
Job 1 Operation 6 on Machine 14 : 264 + 39 -> 303
Job 12 Operation 4 on Machine 11 : 269 + 40 -> 309
Job 7 Operation 3 on Machine 12 : 269 + 59 -> 328
Job 19 Operation 9 on Machine 6 : 274 + 40 -> 314
Job 10 Operation 8 on Machine 3 : 282 + 16 -> 298
Job 3 Operation 2 on Machine 18 : 282 + 13 -> 295
Job 3 Operation 3 on Machine 13 : 295 + 11 -> 306
Job 0 Operation 7 on Machine 2 : 297 + 57 -> 354
Job 14 Operation 3 on Machine 14 : 303 + 33 -> 336
Job 1 Operation 7 on Machine 15 : 303 + 12 -> 315
Job 2 Operation 4 on Machine 13 : 306 + 42 -> 348
Job 4 Operation 7 on Machine 18 : 310 + 13 -> 323
Job 3 Operation 4 on Machine 19 : 310 + 58 -> 368
Job 12 Operation 5 on Machine 10 : 313 + 57 -> 370
Job 8 Operation 4 on Machine 6 : 314 + 65 -> 379
Job 19 Operation 10 on Machine 7 : 314 + 69 -> 383
Job 11 Operation 6 on Machine 15 : 315 + 49 -> 364
Job 1 Operation 8 on Machine 17 : 315 + 51 -> 366
Job 14 Operation 4 on Machine 5 : 336 + 3 -> 339
Job 9 Operation 5 on Machine 14 : 336 + 66 -> 402
Job 14 Operation 5 on Machine 1 : 339 + 32 -> 371
Job 7 Operation 4 on Machine 5 : 339 + 40 -> 379
Job 16 Operation 6 on Machine 13 : 348 + 60 -> 408
Job 6 Operation 10 on Machine 2 : 354 + 64 -> 418
Job 0 Operation 8 on Machine 17 : 366 + 68 -> 434
Job 1 Operation 9 on Machine 19 : 368 + 21 -> 389
Job 12 Operation 6 on Machine 8 : 370 + 62 -> 432
Job 4 Operation 8 on Machine 10 : 370 + 37 -> 407
Job 14 Operation 6 on Machine 15 : 371 + 67 -> 438
Job 13 Operation 3 on Machine 5 : 379 + 50 -> 429
Job 7 Operation 5 on Machine 16 : 379 + 40 -> 419
Job 19 Operation 11 on Machine 4 : 383 + 26 -> 409
Job 3 Operation 5 on Machine 7 : 383 + 12 -> 395
Job 15 Operation 1 on Machine 19 : 389 + 51 -> 440
Job 3 Operation 6 on Machine 6 : 395 + 21 -> 416
Job 9 Operation 6 on Machine 7 : 402 + 33 -> 435
Job 4 Operation 9 on Machine 3 : 407 + 49 -> 456
Job 1 Operation 10 on Machine 10 : 407 + 53 -> 460
Job 17 Operation 2 on Machine 13 : 408 + 61 -> 469
Job 16 Operation 7 on Machine 4 : 409 + 37 -> 446
Job 19 Operation 12 on Machine 11 : 409 + 58 -> 467
Job 2 Operation 5 on Machine 2 : 418 + 50 -> 468
Job 6 Operation 11 on Machine 18 : 418 + 55 -> 473
Job 3 Operation 7 on Machine 8 : 432 + 67 -> 499
Job 0 Operation 9 on Machine 1 : 434 + 70 -> 504
Job 8 Operation 5 on Machine 17 : 434 + 12 -> 446
Job 14 Operation 7 on Machine 16 : 438 + 63 -> 501
Job 15 Operation 2 on Machine 15 : 440 + 38 -> 478
Job 9 Operation 7 on Machine 19 : 440 + 13 -> 453
Job 12 Operation 7 on Machine 4 : 446 + 36 -> 482
Job 16 Operation 8 on Machine 6 : 446 + 1 -> 447
Job 9 Operation 8 on Machine 5 : 453 + 31 -> 484
Job 18 Operation 5 on Machine 19 : 453 + 20 -> 473
Job 4 Operation 10 on Machine 6 : 456 + 9 -> 465
Job 1 Operation 11 on Machine 12 : 460 + 20 -> 480
Job 11 Operation 7 on Machine 2 : 468 + 44 -> 512
Job 17 Operation 3 on Machine 14 : 469 + 34 -> 503
Job 18 Operation 6 on Machine 9 : 473 + 22 -> 495
Job 6 Operation 12 on Machine 19 : 473 + 50 -> 523
Job 1 Operation 12 on Machine 11 : 480 + 64 -> 544
Job 15 Operation 3 on Machine 12 : 480 + 58 -> 538
Job 12 Operation 8 on Machine 13 : 482 + 64 -> 546
Job 2 Operation 6 on Machine 5 : 484 + 40 -> 524
Job 18 Operation 7 on Machine 0 : 495 + 30 -> 525
Job 9 Operation 9 on Machine 9 : 495 + 9 -> 504
Job 14 Operation 8 on Machine 10 : 501 + 21 -> 522
Job 17 Operation 4 on Machine 18 : 503 + 36 -> 539
Job 0 Operation 10 on Machine 3 : 504 + 43 -> 547
Job 10 Operation 9 on Machine 2 : 512 + 61 -> 573
Job 11 Operation 8 on Machine 9 : 512 + 51 -> 563
Job 14 Operation 9 on Machine 8 : 522 + 15 -> 537
Job 16 Operation 9 on Machine 19 : 523 + 5 -> 528
Job 2 Operation 7 on Machine 4 : 524 + 46 -> 570
Job 18 Operation 8 on Machine 15 : 525 + 47 -> 572
Job 16 Operation 10 on Machine 16 : 528 + 28 -> 556
Job 13 Operation 4 on Machine 19 : 528 + 30 -> 558
Job 14 Operation 10 on Machine 7 : 537 + 68 -> 605
Job 19 Operation 13 on Machine 8 : 537 + 52 -> 589
Job 4 Operation 11 on Machine 12 : 538 + 48 -> 586
Job 15 Operation 4 on Machine 18 : 539 + 42 -> 581
Job 7 Operation 6 on Machine 13 : 546 + 8 -> 554
Job 9 Operation 10 on Machine 3 : 547 + 8 -> 555
Job 0 Operation 11 on Machine 5 : 547 + 29 -> 576
Job 7 Operation 7 on Machine 6 : 554 + 54 -> 608
Job 9 Operation 11 on Machine 17 : 555 + 7 -> 562
Job 16 Operation 11 on Machine 11 : 556 + 28 -> 584
Job 13 Operation 5 on Machine 0 : 558 + 24 -> 582
Job 9 Operation 12 on Machine 16 : 562 + 33 -> 595
Job 2 Operation 8 on Machine 9 : 570 + 26 -> 596
Job 18 Operation 9 on Machine 10 : 572 + 52 -> 624
Job 3 Operation 8 on Machine 2 : 573 + 21 -> 594
Job 8 Operation 6 on Machine 5 : 576 + 45 -> 621
Job 0 Operation 12 on Machine 19 : 576 + 13 -> 589
Job 11 Operation 9 on Machine 12 : 586 + 3 -> 589
Job 15 Operation 5 on Machine 8 : 589 + 33 -> 622
Job 0 Operation 13 on Machine 13 : 589 + 18 -> 607
Job 5 Operation 1 on Machine 19 : 589 + 46 -> 635
Job 12 Operation 9 on Machine 2 : 594 + 54 -> 648
Job 9 Operation 13 on Machine 12 : 595 + 68 -> 663
Job 19 Operation 14 on Machine 16 : 595 + 63 -> 658
Job 17 Operation 5 on Machine 9 : 596 + 43 -> 639
Job 13 Operation 6 on Machine 7 : 605 + 6 -> 611
Job 0 Operation 14 on Machine 11 : 607 + 55 -> 662
Job 11 Operation 10 on Machine 13 : 607 + 29 -> 636
Job 7 Operation 8 on Machine 4 : 608 + 41 -> 649
Job 13 Operation 7 on Machine 1 : 611 + 60 -> 671
Job 4 Operation 12 on Machine 7 : 611 + 70 -> 681
Job 15 Operation 6 on Machine 5 : 622 + 45 -> 667
Job 10 Operation 10 on Machine 8 : 622 + 45 -> 667
Job 2 Operation 9 on Machine 10 : 624 + 39 -> 663
Job 11 Operation 11 on Machine 0 : 636 + 14 -> 650
Job 5 Operation 2 on Machine 13 : 636 + 1 -> 637
Job 18 Operation 10 on Machine 13 : 637 + 10 -> 647
Job 17 Operation 6 on Machine 3 : 639 + 14 -> 653
Job 14 Operation 11 on Machine 9 : 639 + 22 -> 661
Job 8 Operation 7 on Machine 2 : 648 + 37 -> 685
Job 11 Operation 12 on Machine 18 : 650 + 29 -> 679
Job 19 Operation 15 on Machine 3 : 658 + 61 -> 719
Job 0 Operation 15 on Machine 6 : 662 + 57 -> 719
Job 9 Operation 14 on Machine 4 : 663 + 25 -> 688
Job 5 Operation 3 on Machine 10 : 663 + 3 -> 666
Job 3 Operation 9 on Machine 12 : 663 + 37 -> 700
Job 2 Operation 10 on Machine 16 : 663 + 40 -> 703
Job 5 Operation 4 on Machine 0 : 666 + 15 -> 681
Job 1 Operation 13 on Machine 5 : 667 + 27 -> 694
Job 15 Operation 7 on Machine 9 : 667 + 68 -> 735
Job 10 Operation 11 on Machine 15 : 667 + 41 -> 708
Job 7 Operation 9 on Machine 1 : 671 + 4 -> 675
Job 13 Operation 8 on Machine 13 : 671 + 37 -> 708
Job 17 Operation 7 on Machine 1 : 675 + 25 -> 700
Job 7 Operation 10 on Machine 11 : 675 + 69 -> 744
Job 11 Operation 13 on Machine 8 : 679 + 67 -> 746
Job 18 Operation 11 on Machine 18 : 679 + 47 -> 726
Job 8 Operation 8 on Machine 19 : 685 + 57 -> 742
Job 14 Operation 12 on Machine 4 : 688 + 70 -> 758
Job 9 Operation 15 on Machine 10 : 688 + 52 -> 740
Job 16 Operation 12 on Machine 1 : 700 + 30 -> 730
Job 2 Operation 11 on Machine 7 : 703 + 34 -> 737
Job 5 Operation 5 on Machine 16 : 703 + 3 -> 706
Job 4 Operation 13 on Machine 13 : 708 + 48 -> 756
Job 3 Operation 10 on Machine 15 : 708 + 51 -> 759
Job 1 Operation 14 on Machine 3 : 719 + 16 -> 735
Job 0 Operation 16 on Machine 12 : 719 + 22 -> 741
Job 18 Operation 12 on Machine 14 : 726 + 12 -> 738
Job 15 Operation 8 on Machine 1 : 735 + 46 -> 781
Job 10 Operation 12 on Machine 7 : 737 + 49 -> 786
Job 17 Operation 8 on Machine 10 : 740 + 65 -> 805
Job 9 Operation 16 on Machine 18 : 740 + 22 -> 762
Job 0 Operation 17 on Machine 9 : 741 + 14 -> 755
Job 2 Operation 12 on Machine 12 : 741 + 23 -> 764
Job 8 Operation 9 on Machine 3 : 742 + 18 -> 760
Job 1 Operation 15 on Machine 8 : 746 + 52 -> 798
Job 13 Operation 9 on Machine 9 : 755 + 6 -> 761
Job 4 Operation 14 on Machine 16 : 756 + 42 -> 798
Job 3 Operation 11 on Machine 0 : 759 + 60 -> 819
Job 7 Operation 11 on Machine 15 : 759 + 23 -> 782
Job 8 Operation 10 on Machine 13 : 760 + 59 -> 819
Job 13 Operation 10 on Machine 6 : 761 + 1 -> 762
Job 9 Operation 17 on Machine 6 : 762 + 54 -> 816
Job 5 Operation 6 on Machine 18 : 762 + 50 -> 812
Job 2 Operation 13 on Machine 11 : 764 + 67 -> 831
Job 14 Operation 13 on Machine 12 : 764 + 11 -> 775
Job 14 Operation 14 on Machine 2 : 775 + 66 -> 841
Job 18 Operation 13 on Machine 12 : 775 + 53 -> 828
Job 15 Operation 9 on Machine 3 : 781 + 16 -> 797
Job 12 Operation 10 on Machine 7 : 786 + 28 -> 814
Job 4 Operation 15 on Machine 9 : 798 + 24 -> 822
Job 17 Operation 9 on Machine 8 : 805 + 57 -> 862
Job 10 Operation 13 on Machine 10 : 805 + 39 -> 844
Job 5 Operation 7 on Machine 4 : 812 + 39 -> 851
Job 1 Operation 16 on Machine 18 : 812 + 15 -> 827
Job 12 Operation 11 on Machine 6 : 816 + 67 -> 883
Job 9 Operation 18 on Machine 15 : 816 + 66 -> 882
Job 8 Operation 11 on Machine 14 : 819 + 70 -> 889
Job 7 Operation 12 on Machine 9 : 822 + 5 -> 827
Job 1 Operation 17 on Machine 1 : 827 + 5 -> 832
Job 7 Operation 13 on Machine 3 : 827 + 25 -> 852
Job 16 Operation 13 on Machine 18 : 827 + 27 -> 854
Job 18 Operation 14 on Machine 7 : 828 + 53 -> 881
Job 13 Operation 11 on Machine 12 : 828 + 54 -> 882
Job 15 Operation 10 on Machine 11 : 831 + 48 -> 879
Job 2 Operation 14 on Machine 19 : 831 + 25 -> 856
Job 1 Operation 18 on Machine 0 : 832 + 47 -> 879
Job 14 Operation 15 on Machine 13 : 841 + 60 -> 901
Job 10 Operation 14 on Machine 1 : 844 + 27 -> 871
Job 16 Operation 14 on Machine 10 : 854 + 40 -> 894
Job 2 Operation 15 on Machine 17 : 856 + 9 -> 865
Job 17 Operation 10 on Machine 5 : 862 + 38 -> 900
Job 4 Operation 16 on Machine 8 : 862 + 18 -> 880
Job 3 Operation 12 on Machine 17 : 865 + 65 -> 930
Job 10 Operation 15 on Machine 18 : 871 + 15 -> 886
Job 4 Operation 17 on Machine 0 : 880 + 26 -> 906
Job 0 Operation 18 on Machine 8 : 880 + 70 -> 950
Job 13 Operation 12 on Machine 11 : 882 + 54 -> 936
Job 6 Operation 13 on Machine 12 : 882 + 51 -> 933
Job 2 Operation 16 on Machine 15 : 882 + 8 -> 890
Job 12 Operation 12 on Machine 18 : 886 + 25 -> 911
Job 15 Operation 11 on Machine 14 : 889 + 5 -> 894
Job 2 Operation 17 on Machine 6 : 890 + 27 -> 917
Job 8 Operation 12 on Machine 15 : 890 + 46 -> 936
Job 15 Operation 12 on Machine 7 : 894 + 34 -> 928
Job 7 Operation 14 on Machine 14 : 894 + 51 -> 945
Job 16 Operation 15 on Machine 5 : 900 + 67 -> 967
Job 17 Operation 11 on Machine 16 : 900 + 69 -> 969
Job 9 Operation 19 on Machine 0 : 906 + 33 -> 939
Job 4 Operation 18 on Machine 2 : 906 + 56 -> 962
Job 12 Operation 13 on Machine 9 : 911 + 16 -> 927
Job 18 Operation 15 on Machine 6 : 917 + 13 -> 930
Job 3 Operation 13 on Machine 4 : 930 + 60 -> 990
Job 15 Operation 13 on Machine 17 : 930 + 31 -> 961
Job 19 Operation 16 on Machine 12 : 933 + 57 -> 990
Job 6 Operation 14 on Machine 13 : 933 + 12 -> 945
Job 13 Operation 13 on Machine 10 : 936 + 21 -> 957
Job 8 Operation 13 on Machine 11 : 936 + 58 -> 994
Job 5 Operation 8 on Machine 15 : 936 + 12 -> 948
Job 12 Operation 14 on Machine 0 : 939 + 15 -> 954
Job 6 Operation 15 on Machine 7 : 945 + 57 -> 1002
Job 11 Operation 14 on Machine 14 : 945 + 27 -> 972
Job 7 Operation 15 on Machine 18 : 945 + 10 -> 955
Job 5 Operation 9 on Machine 6 : 948 + 2 -> 950
Job 5 Operation 10 on Machine 3 : 950 + 20 -> 970
Job 14 Operation 16 on Machine 18 : 955 + 56 -> 1011
Job 13 Operation 14 on Machine 15 : 957 + 24 -> 981
Job 15 Operation 14 on Machine 0 : 961 + 32 -> 993
Job 7 Operation 16 on Machine 2 : 962 + 36 -> 998
Job 18 Operation 16 on Machine 16 : 969 + 48 -> 1017
Job 5 Operation 11 on Machine 1 : 970 + 5 -> 975
Job 11 Operation 15 on Machine 19 : 972 + 60 -> 1032
Job 12 Operation 15 on Machine 15 : 981 + 50 -> 1031
Job 13 Operation 15 on Machine 17 : 981 + 46 -> 1027
Job 4 Operation 19 on Machine 4 : 990 + 67 -> 1057
Job 3 Operation 14 on Machine 9 : 990 + 48 -> 1038
Job 2 Operation 18 on Machine 0 : 993 + 67 -> 1060
Job 8 Operation 14 on Machine 1 : 994 + 70 -> 1064
Job 5 Operation 12 on Machine 2 : 998 + 55 -> 1053
Job 7 Operation 17 on Machine 8 : 998 + 16 -> 1014
Job 17 Operation 12 on Machine 7 : 1002 + 38 -> 1040
Job 14 Operation 17 on Machine 3 : 1011 + 15 -> 1026
Job 7 Operation 18 on Machine 10 : 1014 + 64 -> 1078
Job 1 Operation 19 on Machine 16 : 1017 + 1 -> 1018
Job 15 Operation 15 on Machine 16 : 1018 + 22 -> 1040
Job 18 Operation 17 on Machine 3 : 1026 + 32 -> 1058
Job 13 Operation 16 on Machine 8 : 1027 + 50 -> 1077
Job 10 Operation 16 on Machine 17 : 1027 + 68 -> 1095
Job 16 Operation 16 on Machine 15 : 1031 + 23 -> 1054
Job 6 Operation 16 on Machine 9 : 1038 + 27 -> 1065
Job 3 Operation 15 on Machine 14 : 1038 + 12 -> 1050
Job 15 Operation 16 on Machine 6 : 1040 + 43 -> 1083
Job 11 Operation 16 on Machine 7 : 1040 + 3 -> 1043
Job 17 Operation 13 on Machine 12 : 1040 + 55 -> 1095
Job 3 Operation 16 on Machine 11 : 1050 + 58 -> 1108
Job 19 Operation 17 on Machine 14 : 1050 + 16 -> 1066
Job 0 Operation 19 on Machine 4 : 1057 + 53 -> 1110
Job 18 Operation 18 on Machine 5 : 1058 + 69 -> 1127
Job 14 Operation 18 on Machine 0 : 1060 + 20 -> 1080
Job 8 Operation 15 on Machine 16 : 1064 + 10 -> 1074
Job 5 Operation 13 on Machine 9 : 1065 + 1 -> 1066
Job 5 Operation 14 on Machine 14 : 1066 + 18 -> 1084
Job 12 Operation 16 on Machine 16 : 1074 + 1 -> 1075
Job 6 Operation 17 on Machine 16 : 1075 + 43 -> 1118
Job 8 Operation 16 on Machine 8 : 1077 + 31 -> 1108
Job 19 Operation 18 on Machine 0 : 1080 + 50 -> 1130
Job 15 Operation 17 on Machine 2 : 1083 + 22 -> 1105
Job 5 Operation 15 on Machine 7 : 1084 + 6 -> 1090
Job 13 Operation 17 on Machine 14 : 1084 + 48 -> 1132
Job 17 Operation 14 on Machine 6 : 1095 + 20 -> 1115
Job 12 Operation 17 on Machine 17 : 1095 + 24 -> 1119
Job 15 Operation 18 on Machine 13 : 1105 + 53 -> 1158
Job 3 Operation 17 on Machine 1 : 1108 + 25 -> 1133
Job 2 Operation 19 on Machine 8 : 1108 + 17 -> 1125
Job 14 Operation 19 on Machine 11 : 1108 + 46 -> 1154
Job 17 Operation 15 on Machine 4 : 1115 + 6 -> 1121
Job 11 Operation 17 on Machine 6 : 1115 + 70 -> 1185
Job 10 Operation 17 on Machine 16 : 1118 + 58 -> 1176
Job 5 Operation 16 on Machine 17 : 1119 + 2 -> 1121
Job 12 Operation 18 on Machine 19 : 1119 + 59 -> 1178
Job 8 Operation 17 on Machine 4 : 1121 + 19 -> 1140
Job 5 Operation 17 on Machine 12 : 1121 + 6 -> 1127
Job 17 Operation 16 on Machine 15 : 1121 + 35 -> 1156
Job 5 Operation 18 on Machine 5 : 1127 + 43 -> 1170
Job 18 Operation 19 on Machine 8 : 1127 + 25 -> 1152
Job 16 Operation 17 on Machine 12 : 1127 + 62 -> 1189
Job 6 Operation 18 on Machine 0 : 1130 + 21 -> 1151
Job 19 Operation 19 on Machine 2 : 1130 + 3 -> 1133
Job 3 Operation 18 on Machine 10 : 1133 + 58 -> 1191
Job 13 Operation 18 on Machine 4 : 1140 + 49 -> 1189
Job 8 Operation 18 on Machine 7 : 1140 + 38 -> 1178
Job 7 Operation 19 on Machine 0 : 1151 + 53 -> 1204
Job 17 Operation 17 on Machine 17 : 1156 + 11 -> 1167
Job 17 Operation 18 on Machine 2 : 1167 + 36 -> 1203
Job 6 Operation 19 on Machine 17 : 1167 + 12 -> 1179
Job 5 Operation 19 on Machine 11 : 1170 + 9 -> 1179
Job 12 Operation 19 on Machine 5 : 1178 + 41 -> 1219
Job 8 Operation 19 on Machine 18 : 1178 + 24 -> 1202
Job 10 Operation 18 on Machine 19 : 1178 + 23 -> 1201
Job 11 Operation 18 on Machine 1 : 1185 + 18 -> 1203
Job 16 Operation 18 on Machine 3 : 1189 + 1 -> 1190
Job 15 Operation 19 on Machine 4 : 1189 + 67 -> 1256
Job 16 Operation 19 on Machine 9 : 1190 + 45 -> 1235
Job 3 Operation 19 on Machine 16 : 1191 + 59 -> 1250
Job 10 Operation 19 on Machine 11 : 1201 + 46 -> 1247
Job 13 Operation 19 on Machine 18 : 1202 + 45 -> 1247
Job 11 Operation 19 on Machine 10 : 1203 + 1 -> 1204
Job 17 Operation 19 on Machine 0 : 1204 + 54 -> 1258
Makespan: 1258.0, as it is the maximum end completion time of Operation 19
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|
10 | 5 |
Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 26 mins.
Operation 1 on Machine 3 duration 23 mins.
Operation 2 on Machine 2 duration 5 mins.
Operation 3 on Machine 1 duration 16 mins.
Operation 4 on Machine 0 duration 7 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 10 mins.
Operation 1 on Machine 0 duration 22 mins.
Operation 2 on Machine 3 duration 26 mins.
Operation 3 on Machine 2 duration 3 mins.
Operation 4 on Machine 1 duration 7 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 28 mins.
Operation 1 on Machine 2 duration 22 mins.
Operation 2 on Machine 0 duration 30 mins.
Operation 3 on Machine 3 duration 23 mins.
Operation 4 on Machine 4 duration 32 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 2 mins.
Operation 1 on Machine 4 duration 2 mins.
Operation 2 on Machine 0 duration 18 mins.
Operation 3 on Machine 3 duration 6 mins.
Operation 4 on Machine 2 duration 27 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 7 mins.
Operation 1 on Machine 0 duration 20 mins.
Operation 2 on Machine 3 duration 8 mins.
Operation 3 on Machine 4 duration 7 mins.
Operation 4 on Machine 1 duration 12 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 7 mins.
Operation 1 on Machine 4 duration 31 mins.
Operation 2 on Machine 2 duration 18 mins.
Operation 3 on Machine 0 duration 14 mins.
Operation 4 on Machine 1 duration 14 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 25 mins.
Operation 1 on Machine 4 duration 29 mins.
Operation 2 on Machine 1 duration 25 mins.
Operation 3 on Machine 3 duration 4 mins.
Operation 4 on Machine 2 duration 14 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 2 duration 4 mins.
Operation 1 on Machine 1 duration 18 mins.
Operation 2 on Machine 3 duration 32 mins.
Operation 3 on Machine 0 duration 7 mins.
Operation 4 on Machine 4 duration 13 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 12 mins.
Operation 1 on Machine 3 duration 2 mins.
Operation 2 on Machine 2 duration 19 mins.
Operation 3 on Machine 1 duration 25 mins.
Operation 4 on Machine 4 duration 6 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 1 duration 21 mins.
Operation 1 on Machine 3 duration 25 mins.
Operation 2 on Machine 0 duration 27 mins.
Operation 3 on Machine 2 duration 25 mins.
Operation 4 on Machine 4 duration 28 mins.
| null |
Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 6 Operation 0 duration 25 mins.
Job 8 Operation 0 duration 12 mins.
Job 1 Operation 1 duration 22 mins.
Job 4 Operation 1 duration 20 mins.
Job 2 Operation 2 duration 30 mins.
Job 3 Operation 2 duration 18 mins.
Job 9 Operation 2 duration 27 mins.
Job 5 Operation 3 duration 14 mins.
Job 7 Operation 3 duration 7 mins.
Job 0 Operation 4 duration 7 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 28 mins.
Job 3 Operation 0 duration 2 mins.
Job 9 Operation 0 duration 21 mins.
Job 7 Operation 1 duration 18 mins.
Job 6 Operation 2 duration 25 mins.
Job 0 Operation 3 duration 16 mins.
Job 8 Operation 3 duration 25 mins.
Job 1 Operation 4 duration 7 mins.
Job 4 Operation 4 duration 12 mins.
Job 5 Operation 4 duration 14 mins.
Machine 2 is used for the following Operations:
Job 4 Operation 0 duration 7 mins.
Job 7 Operation 0 duration 4 mins.
Job 2 Operation 1 duration 22 mins.
Job 0 Operation 2 duration 5 mins.
Job 5 Operation 2 duration 18 mins.
Job 8 Operation 2 duration 19 mins.
Job 1 Operation 3 duration 3 mins.
Job 9 Operation 3 duration 25 mins.
Job 3 Operation 4 duration 27 mins.
Job 6 Operation 4 duration 14 mins.
Machine 3 is used for the following Operations:
Job 5 Operation 0 duration 7 mins.
Job 0 Operation 1 duration 23 mins.
Job 8 Operation 1 duration 2 mins.
Job 9 Operation 1 duration 25 mins.
Job 1 Operation 2 duration 26 mins.
Job 4 Operation 2 duration 8 mins.
Job 7 Operation 2 duration 32 mins.
Job 2 Operation 3 duration 23 mins.
Job 3 Operation 3 duration 6 mins.
Job 6 Operation 3 duration 4 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 26 mins.
Job 1 Operation 0 duration 10 mins.
Job 3 Operation 1 duration 2 mins.
Job 5 Operation 1 duration 31 mins.
Job 6 Operation 1 duration 29 mins.
Job 4 Operation 3 duration 7 mins.
Job 2 Operation 4 duration 32 mins.
Job 7 Operation 4 duration 13 mins.
Job 8 Operation 4 duration 6 mins.
Job 9 Operation 4 duration 28 mins.
| null |
Solution:
Job 6 Operation 0 on Machine 0 : 0 + 25 -> 25
Job 2 Operation 0 on Machine 1 : 0 + 28 -> 28
Job 4 Operation 0 on Machine 2 : 0 + 7 -> 7
Job 5 Operation 0 on Machine 3 : 0 + 7 -> 7
Job 0 Operation 0 on Machine 4 : 0 + 26 -> 26
Job 7 Operation 0 on Machine 2 : 7 + 4 -> 11
Job 4 Operation 1 on Machine 0 : 25 + 20 -> 45
Job 0 Operation 1 on Machine 3 : 26 + 23 -> 49
Job 6 Operation 1 on Machine 4 : 26 + 29 -> 55
Job 9 Operation 0 on Machine 1 : 28 + 21 -> 49
Job 2 Operation 1 on Machine 2 : 28 + 22 -> 50
Job 8 Operation 0 on Machine 0 : 45 + 12 -> 57
Job 3 Operation 0 on Machine 1 : 49 + 2 -> 51
Job 9 Operation 1 on Machine 3 : 49 + 25 -> 74
Job 0 Operation 2 on Machine 2 : 50 + 5 -> 55
Job 6 Operation 2 on Machine 1 : 55 + 25 -> 80
Job 5 Operation 1 on Machine 4 : 55 + 31 -> 86
Job 2 Operation 2 on Machine 0 : 57 + 30 -> 87
Job 8 Operation 1 on Machine 3 : 74 + 2 -> 76
Job 8 Operation 2 on Machine 2 : 76 + 19 -> 95
Job 4 Operation 2 on Machine 3 : 76 + 8 -> 84
Job 7 Operation 1 on Machine 1 : 80 + 18 -> 98
Job 3 Operation 1 on Machine 4 : 86 + 2 -> 88
Job 9 Operation 2 on Machine 0 : 87 + 27 -> 114
Job 2 Operation 3 on Machine 3 : 87 + 23 -> 110
Job 1 Operation 0 on Machine 4 : 88 + 10 -> 98
Job 5 Operation 2 on Machine 2 : 95 + 18 -> 113
Job 8 Operation 3 on Machine 1 : 98 + 25 -> 123
Job 4 Operation 3 on Machine 4 : 98 + 7 -> 105
Job 6 Operation 3 on Machine 3 : 110 + 4 -> 114
Job 2 Operation 4 on Machine 4 : 110 + 32 -> 142
Job 3 Operation 2 on Machine 0 : 114 + 18 -> 132
Job 9 Operation 3 on Machine 2 : 114 + 25 -> 139
Job 7 Operation 2 on Machine 3 : 114 + 32 -> 146
Job 0 Operation 3 on Machine 1 : 123 + 16 -> 139
Job 1 Operation 1 on Machine 0 : 132 + 22 -> 154
Job 4 Operation 4 on Machine 1 : 139 + 12 -> 151
Job 6 Operation 4 on Machine 2 : 139 + 14 -> 153
Job 8 Operation 4 on Machine 4 : 142 + 6 -> 148
Job 3 Operation 3 on Machine 3 : 146 + 6 -> 152
Job 9 Operation 4 on Machine 4 : 148 + 28 -> 176
Job 3 Operation 4 on Machine 2 : 153 + 27 -> 180
Job 5 Operation 3 on Machine 0 : 154 + 14 -> 168
Job 1 Operation 2 on Machine 3 : 154 + 26 -> 180
Job 7 Operation 3 on Machine 0 : 168 + 7 -> 175
Job 5 Operation 4 on Machine 1 : 168 + 14 -> 182
Job 0 Operation 4 on Machine 0 : 175 + 7 -> 182
Job 7 Operation 4 on Machine 4 : 176 + 13 -> 189
Job 1 Operation 3 on Machine 2 : 180 + 3 -> 183
Job 1 Operation 4 on Machine 1 : 183 + 7 -> 190
Makespan: 190.0, as it is the maximum end completion time of Operation 4
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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 47 mins.
Operation 1 on Machine 0 duration 277 mins.
Operation 2 on Machine 3 duration 191 mins.
Operation 3 on Machine 1 duration 17 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 202 mins.
Operation 1 on Machine 1 duration 29 mins.
Operation 2 on Machine 2 duration 145 mins.
Operation 3 on Machine 0 duration 226 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 240 mins.
Operation 1 on Machine 1 duration 67 mins.
Operation 2 on Machine 0 duration 238 mins.
Operation 3 on Machine 3 duration 292 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 201 mins.
Operation 1 on Machine 2 duration 193 mins.
Operation 2 on Machine 1 duration 225 mins.
Operation 3 on Machine 0 duration 104 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 0 Operation 1 duration 277 mins.
Job 2 Operation 2 duration 238 mins.
Job 1 Operation 3 duration 226 mins.
Job 3 Operation 3 duration 104 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 1 duration 29 mins.
Job 2 Operation 1 duration 67 mins.
Job 3 Operation 2 duration 225 mins.
Job 0 Operation 3 duration 17 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 47 mins.
Job 2 Operation 0 duration 240 mins.
Job 3 Operation 1 duration 193 mins.
Job 1 Operation 2 duration 145 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 202 mins.
Job 3 Operation 0 duration 201 mins.
Job 0 Operation 2 duration 191 mins.
Job 2 Operation 3 duration 292 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 2 : 0 + 47 -> 47
Job 1 Operation 0 on Machine 3 : 0 + 202 -> 202
Job 0 Operation 1 on Machine 0 : 47 + 277 -> 324
Job 2 Operation 0 on Machine 2 : 47 + 240 -> 287
Job 1 Operation 1 on Machine 1 : 202 + 29 -> 231
Job 3 Operation 0 on Machine 3 : 202 + 201 -> 403
Job 2 Operation 1 on Machine 1 : 287 + 67 -> 354
Job 1 Operation 2 on Machine 2 : 287 + 145 -> 432
Job 2 Operation 2 on Machine 0 : 354 + 238 -> 592
Job 0 Operation 2 on Machine 3 : 403 + 191 -> 594
Job 3 Operation 1 on Machine 2 : 432 + 193 -> 625
Job 1 Operation 3 on Machine 0 : 592 + 226 -> 818
Job 0 Operation 3 on Machine 1 : 594 + 17 -> 611
Job 2 Operation 3 on Machine 3 : 594 + 292 -> 886
Job 3 Operation 2 on Machine 1 : 625 + 225 -> 850
Job 3 Operation 3 on Machine 0 : 850 + 104 -> 954
Makespan: 954.0, as it is the maximum end completion time of Operation 3
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|
8 | 6 |
Optimize schedule for 8 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 62 mins.
Operation 1 on Machine 2 duration 50 mins.
Operation 2 on Machine 1 duration 155 mins.
Operation 3 on Machine 4 duration 144 mins.
Operation 4 on Machine 5 duration 223 mins.
Operation 5 on Machine 3 duration 182 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 190 mins.
Operation 1 on Machine 1 duration 144 mins.
Operation 2 on Machine 3 duration 215 mins.
Operation 3 on Machine 0 duration 251 mins.
Operation 4 on Machine 5 duration 243 mins.
Operation 5 on Machine 4 duration 238 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 83 mins.
Operation 1 on Machine 3 duration 49 mins.
Operation 2 on Machine 2 duration 207 mins.
Operation 3 on Machine 5 duration 162 mins.
Operation 4 on Machine 0 duration 106 mins.
Operation 5 on Machine 1 duration 88 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 35 mins.
Operation 1 on Machine 4 duration 145 mins.
Operation 2 on Machine 5 duration 226 mins.
Operation 3 on Machine 1 duration 87 mins.
Operation 4 on Machine 2 duration 262 mins.
Operation 5 on Machine 3 duration 66 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 240 mins.
Operation 1 on Machine 1 duration 200 mins.
Operation 2 on Machine 3 duration 134 mins.
Operation 3 on Machine 5 duration 79 mins.
Operation 4 on Machine 4 duration 118 mins.
Operation 5 on Machine 2 duration 24 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 249 mins.
Operation 1 on Machine 5 duration 50 mins.
Operation 2 on Machine 2 duration 245 mins.
Operation 3 on Machine 3 duration 105 mins.
Operation 4 on Machine 4 duration 132 mins.
Operation 5 on Machine 0 duration 171 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 176 mins.
Operation 1 on Machine 3 duration 66 mins.
Operation 2 on Machine 4 duration 127 mins.
Operation 3 on Machine 5 duration 169 mins.
Operation 4 on Machine 1 duration 192 mins.
Operation 5 on Machine 0 duration 158 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 96 mins.
Operation 1 on Machine 1 duration 49 mins.
Operation 2 on Machine 5 duration 127 mins.
Operation 3 on Machine 3 duration 66 mins.
Operation 4 on Machine 4 duration 182 mins.
Operation 5 on Machine 2 duration 77 mins.
| null |
Optimize schedule for 8 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 62 mins.
Job 3 Operation 0 duration 35 mins.
Job 4 Operation 0 duration 240 mins.
Job 7 Operation 0 duration 96 mins.
Job 1 Operation 3 duration 251 mins.
Job 2 Operation 4 duration 106 mins.
Job 5 Operation 5 duration 171 mins.
Job 6 Operation 5 duration 158 mins.
Machine 1 is used for the following Operations:
Job 5 Operation 0 duration 249 mins.
Job 1 Operation 1 duration 144 mins.
Job 4 Operation 1 duration 200 mins.
Job 7 Operation 1 duration 49 mins.
Job 0 Operation 2 duration 155 mins.
Job 3 Operation 3 duration 87 mins.
Job 6 Operation 4 duration 192 mins.
Job 2 Operation 5 duration 88 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 190 mins.
Job 6 Operation 0 duration 176 mins.
Job 0 Operation 1 duration 50 mins.
Job 2 Operation 2 duration 207 mins.
Job 5 Operation 2 duration 245 mins.
Job 3 Operation 4 duration 262 mins.
Job 4 Operation 5 duration 24 mins.
Job 7 Operation 5 duration 77 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 49 mins.
Job 6 Operation 1 duration 66 mins.
Job 1 Operation 2 duration 215 mins.
Job 4 Operation 2 duration 134 mins.
Job 5 Operation 3 duration 105 mins.
Job 7 Operation 3 duration 66 mins.
Job 0 Operation 5 duration 182 mins.
Job 3 Operation 5 duration 66 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 83 mins.
Job 3 Operation 1 duration 145 mins.
Job 6 Operation 2 duration 127 mins.
Job 0 Operation 3 duration 144 mins.
Job 4 Operation 4 duration 118 mins.
Job 5 Operation 4 duration 132 mins.
Job 7 Operation 4 duration 182 mins.
Job 1 Operation 5 duration 238 mins.
Machine 5 is used for the following Operations:
Job 5 Operation 1 duration 50 mins.
Job 3 Operation 2 duration 226 mins.
Job 7 Operation 2 duration 127 mins.
Job 2 Operation 3 duration 162 mins.
Job 4 Operation 3 duration 79 mins.
Job 6 Operation 3 duration 169 mins.
Job 0 Operation 4 duration 223 mins.
Job 1 Operation 4 duration 243 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 35 -> 35
Job 5 Operation 0 on Machine 1 : 0 + 249 -> 249
Job 1 Operation 0 on Machine 2 : 0 + 190 -> 190
Job 7 Operation 0 on Machine 0 : 35 + 96 -> 131
Job 3 Operation 1 on Machine 4 : 35 + 145 -> 180
Job 0 Operation 0 on Machine 0 : 131 + 62 -> 193
Job 2 Operation 0 on Machine 4 : 180 + 83 -> 263
Job 3 Operation 2 on Machine 5 : 180 + 226 -> 406
Job 6 Operation 0 on Machine 2 : 190 + 176 -> 366
Job 4 Operation 0 on Machine 0 : 193 + 240 -> 433
Job 7 Operation 1 on Machine 1 : 249 + 49 -> 298
Job 2 Operation 1 on Machine 3 : 263 + 49 -> 312
Job 1 Operation 1 on Machine 1 : 298 + 144 -> 442
Job 0 Operation 1 on Machine 2 : 366 + 50 -> 416
Job 6 Operation 1 on Machine 3 : 366 + 66 -> 432
Job 7 Operation 2 on Machine 5 : 406 + 127 -> 533
Job 2 Operation 2 on Machine 2 : 416 + 207 -> 623
Job 6 Operation 2 on Machine 4 : 432 + 127 -> 559
Job 4 Operation 1 on Machine 1 : 442 + 200 -> 642
Job 1 Operation 2 on Machine 3 : 442 + 215 -> 657
Job 5 Operation 1 on Machine 5 : 533 + 50 -> 583
Job 6 Operation 3 on Machine 5 : 583 + 169 -> 752
Job 5 Operation 2 on Machine 2 : 623 + 245 -> 868
Job 3 Operation 3 on Machine 1 : 642 + 87 -> 729
Job 1 Operation 3 on Machine 0 : 657 + 251 -> 908
Job 7 Operation 3 on Machine 3 : 657 + 66 -> 723
Job 4 Operation 2 on Machine 3 : 723 + 134 -> 857
Job 7 Operation 4 on Machine 4 : 723 + 182 -> 905
Job 0 Operation 2 on Machine 1 : 729 + 155 -> 884
Job 2 Operation 3 on Machine 5 : 752 + 162 -> 914
Job 5 Operation 3 on Machine 3 : 868 + 105 -> 973
Job 6 Operation 4 on Machine 1 : 884 + 192 -> 1076
Job 7 Operation 5 on Machine 2 : 905 + 77 -> 982
Job 0 Operation 3 on Machine 4 : 905 + 144 -> 1049
Job 2 Operation 4 on Machine 0 : 914 + 106 -> 1020
Job 1 Operation 4 on Machine 5 : 914 + 243 -> 1157
Job 3 Operation 4 on Machine 2 : 982 + 262 -> 1244
Job 5 Operation 4 on Machine 4 : 1049 + 132 -> 1181
Job 6 Operation 5 on Machine 0 : 1076 + 158 -> 1234
Job 2 Operation 5 on Machine 1 : 1076 + 88 -> 1164
Job 0 Operation 4 on Machine 5 : 1157 + 223 -> 1380
Job 1 Operation 5 on Machine 4 : 1181 + 238 -> 1419
Job 5 Operation 5 on Machine 0 : 1234 + 171 -> 1405
Job 3 Operation 5 on Machine 3 : 1244 + 66 -> 1310
Job 0 Operation 5 on Machine 3 : 1380 + 182 -> 1562
Job 4 Operation 3 on Machine 5 : 1380 + 79 -> 1459
Job 4 Operation 4 on Machine 4 : 1459 + 118 -> 1577
Job 4 Operation 5 on Machine 2 : 1577 + 24 -> 1601
Makespan: 1601.0, as it is the maximum end completion time of Operation 5
| null |
|
7 | 3 |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 9 mins.
Operation 1 on Machine 1 duration 18 mins.
Operation 2 on Machine 2 duration 3 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 17 mins.
Operation 1 on Machine 2 duration 4 mins.
Operation 2 on Machine 1 duration 13 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 24 mins.
Operation 1 on Machine 0 duration 5 mins.
Operation 2 on Machine 1 duration 21 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 17 mins.
Operation 1 on Machine 2 duration 7 mins.
Operation 2 on Machine 0 duration 23 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 4 mins.
Operation 1 on Machine 2 duration 22 mins.
Operation 2 on Machine 1 duration 25 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 23 mins.
Operation 1 on Machine 1 duration 18 mins.
Operation 2 on Machine 0 duration 25 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 5 mins.
Operation 1 on Machine 0 duration 12 mins.
Operation 2 on Machine 2 duration 12 mins.
| null |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 9 mins.
Job 1 Operation 0 duration 17 mins.
Job 4 Operation 0 duration 4 mins.
Job 2 Operation 1 duration 5 mins.
Job 6 Operation 1 duration 12 mins.
Job 3 Operation 2 duration 23 mins.
Job 5 Operation 2 duration 25 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 17 mins.
Job 6 Operation 0 duration 5 mins.
Job 0 Operation 1 duration 18 mins.
Job 5 Operation 1 duration 18 mins.
Job 1 Operation 2 duration 13 mins.
Job 2 Operation 2 duration 21 mins.
Job 4 Operation 2 duration 25 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 24 mins.
Job 5 Operation 0 duration 23 mins.
Job 1 Operation 1 duration 4 mins.
Job 3 Operation 1 duration 7 mins.
Job 4 Operation 1 duration 22 mins.
Job 0 Operation 2 duration 3 mins.
Job 6 Operation 2 duration 12 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 4 -> 4
Job 3 Operation 0 on Machine 1 : 0 + 17 -> 17
Job 5 Operation 0 on Machine 2 : 0 + 23 -> 23
Job 0 Operation 0 on Machine 0 : 4 + 9 -> 13
Job 1 Operation 0 on Machine 0 : 13 + 17 -> 30
Job 0 Operation 1 on Machine 1 : 17 + 18 -> 35
Job 3 Operation 1 on Machine 2 : 23 + 7 -> 30
Job 3 Operation 2 on Machine 0 : 30 + 23 -> 53
Job 1 Operation 1 on Machine 2 : 30 + 4 -> 34
Job 1 Operation 2 on Machine 1 : 35 + 13 -> 48
Job 0 Operation 2 on Machine 2 : 35 + 3 -> 38
Job 4 Operation 1 on Machine 2 : 38 + 22 -> 60
Job 5 Operation 1 on Machine 1 : 48 + 18 -> 66
Job 2 Operation 0 on Machine 2 : 60 + 24 -> 84
Job 6 Operation 0 on Machine 1 : 66 + 5 -> 71
Job 6 Operation 1 on Machine 0 : 71 + 12 -> 83
Job 4 Operation 2 on Machine 1 : 71 + 25 -> 96
Job 2 Operation 1 on Machine 0 : 84 + 5 -> 89
Job 6 Operation 2 on Machine 2 : 84 + 12 -> 96
Job 5 Operation 2 on Machine 0 : 89 + 25 -> 114
Job 2 Operation 2 on Machine 1 : 96 + 21 -> 117
Makespan: 117.0, as it is the maximum end completion time of Operation 2
| null |
|
9 | 4 |
Optimize schedule for 9 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 25 mins.
Operation 1 on Machine 0 duration 79 mins.
Operation 2 on Machine 3 duration 15 mins.
Operation 3 on Machine 1 duration 114 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 32 mins.
Operation 1 on Machine 2 duration 16 mins.
Operation 2 on Machine 3 duration 101 mins.
Operation 3 on Machine 1 duration 68 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 29 mins.
Operation 1 on Machine 0 duration 71 mins.
Operation 2 on Machine 3 duration 61 mins.
Operation 3 on Machine 1 duration 100 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 78 mins.
Operation 1 on Machine 2 duration 34 mins.
Operation 2 on Machine 1 duration 91 mins.
Operation 3 on Machine 3 duration 29 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 74 mins.
Operation 1 on Machine 0 duration 70 mins.
Operation 2 on Machine 1 duration 103 mins.
Operation 3 on Machine 2 duration 21 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 3 duration 35 mins.
Operation 1 on Machine 0 duration 19 mins.
Operation 2 on Machine 2 duration 78 mins.
Operation 3 on Machine 1 duration 35 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 6 mins.
Operation 1 on Machine 0 duration 67 mins.
Operation 2 on Machine 3 duration 69 mins.
Operation 3 on Machine 2 duration 67 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 57 mins.
Operation 1 on Machine 0 duration 103 mins.
Operation 2 on Machine 1 duration 101 mins.
Operation 3 on Machine 2 duration 25 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 55 mins.
Operation 1 on Machine 0 duration 58 mins.
Operation 2 on Machine 1 duration 81 mins.
Operation 3 on Machine 3 duration 38 mins.
| null |
Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 32 mins.
Job 3 Operation 0 duration 78 mins.
Job 0 Operation 1 duration 79 mins.
Job 2 Operation 1 duration 71 mins.
Job 4 Operation 1 duration 70 mins.
Job 5 Operation 1 duration 19 mins.
Job 6 Operation 1 duration 67 mins.
Job 7 Operation 1 duration 103 mins.
Job 8 Operation 1 duration 58 mins.
Machine 1 is used for the following Operations:
Job 6 Operation 0 duration 6 mins.
Job 3 Operation 2 duration 91 mins.
Job 4 Operation 2 duration 103 mins.
Job 7 Operation 2 duration 101 mins.
Job 8 Operation 2 duration 81 mins.
Job 0 Operation 3 duration 114 mins.
Job 1 Operation 3 duration 68 mins.
Job 2 Operation 3 duration 100 mins.
Job 5 Operation 3 duration 35 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 25 mins.
Job 2 Operation 0 duration 29 mins.
Job 8 Operation 0 duration 55 mins.
Job 1 Operation 1 duration 16 mins.
Job 3 Operation 1 duration 34 mins.
Job 5 Operation 2 duration 78 mins.
Job 4 Operation 3 duration 21 mins.
Job 6 Operation 3 duration 67 mins.
Job 7 Operation 3 duration 25 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 74 mins.
Job 5 Operation 0 duration 35 mins.
Job 7 Operation 0 duration 57 mins.
Job 0 Operation 2 duration 15 mins.
Job 1 Operation 2 duration 101 mins.
Job 2 Operation 2 duration 61 mins.
Job 6 Operation 2 duration 69 mins.
Job 3 Operation 3 duration 29 mins.
Job 8 Operation 3 duration 38 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 78 -> 78
Job 6 Operation 0 on Machine 1 : 0 + 6 -> 6
Job 2 Operation 0 on Machine 2 : 0 + 29 -> 29
Job 7 Operation 0 on Machine 3 : 0 + 57 -> 57
Job 0 Operation 0 on Machine 2 : 29 + 25 -> 54
Job 5 Operation 0 on Machine 3 : 57 + 35 -> 92
Job 7 Operation 1 on Machine 0 : 78 + 103 -> 181
Job 3 Operation 1 on Machine 2 : 78 + 34 -> 112
Job 4 Operation 0 on Machine 3 : 92 + 74 -> 166
Job 3 Operation 2 on Machine 1 : 112 + 91 -> 203
Job 8 Operation 0 on Machine 2 : 112 + 55 -> 167
Job 4 Operation 1 on Machine 0 : 181 + 70 -> 251
Job 7 Operation 2 on Machine 1 : 203 + 101 -> 304
Job 3 Operation 3 on Machine 3 : 203 + 29 -> 232
Job 2 Operation 1 on Machine 0 : 251 + 71 -> 322
Job 4 Operation 2 on Machine 1 : 304 + 103 -> 407
Job 7 Operation 3 on Machine 2 : 304 + 25 -> 329
Job 0 Operation 1 on Machine 0 : 322 + 79 -> 401
Job 2 Operation 2 on Machine 3 : 322 + 61 -> 383
Job 1 Operation 0 on Machine 0 : 401 + 32 -> 433
Job 0 Operation 2 on Machine 3 : 401 + 15 -> 416
Job 2 Operation 3 on Machine 1 : 407 + 100 -> 507
Job 4 Operation 3 on Machine 2 : 407 + 21 -> 428
Job 8 Operation 1 on Machine 0 : 433 + 58 -> 491
Job 1 Operation 1 on Machine 2 : 433 + 16 -> 449
Job 1 Operation 2 on Machine 3 : 449 + 101 -> 550
Job 5 Operation 1 on Machine 0 : 491 + 19 -> 510
Job 8 Operation 2 on Machine 1 : 507 + 81 -> 588
Job 6 Operation 1 on Machine 0 : 510 + 67 -> 577
Job 5 Operation 2 on Machine 2 : 510 + 78 -> 588
Job 5 Operation 3 on Machine 1 : 588 + 35 -> 623
Job 8 Operation 3 on Machine 3 : 588 + 38 -> 626
Job 1 Operation 3 on Machine 1 : 623 + 68 -> 691
Job 6 Operation 2 on Machine 3 : 626 + 69 -> 695
Job 0 Operation 3 on Machine 1 : 691 + 114 -> 805
Job 6 Operation 3 on Machine 2 : 695 + 67 -> 762
Makespan: 805.0, as it is the maximum end completion time of Operation 3
| null |
|
12 | 12 |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 183 mins.
Operation 1 on Machine 9 duration 108 mins.
Operation 2 on Machine 8 duration 47 mins.
Operation 3 on Machine 6 duration 131 mins.
Operation 4 on Machine 5 duration 286 mins.
Operation 5 on Machine 0 duration 162 mins.
Operation 6 on Machine 10 duration 306 mins.
Operation 7 on Machine 1 duration 118 mins.
Operation 8 on Machine 11 duration 19 mins.
Operation 9 on Machine 4 duration 314 mins.
Operation 10 on Machine 3 duration 151 mins.
Operation 11 on Machine 7 duration 207 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 238 mins.
Operation 1 on Machine 7 duration 47 mins.
Operation 2 on Machine 5 duration 136 mins.
Operation 3 on Machine 8 duration 56 mins.
Operation 4 on Machine 1 duration 163 mins.
Operation 5 on Machine 0 duration 97 mins.
Operation 6 on Machine 2 duration 250 mins.
Operation 7 on Machine 9 duration 198 mins.
Operation 8 on Machine 10 duration 138 mins.
Operation 9 on Machine 6 duration 53 mins.
Operation 10 on Machine 4 duration 288 mins.
Operation 11 on Machine 11 duration 318 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 6 duration 165 mins.
Operation 1 on Machine 2 duration 3 mins.
Operation 2 on Machine 1 duration 161 mins.
Operation 3 on Machine 8 duration 302 mins.
Operation 4 on Machine 0 duration 133 mins.
Operation 5 on Machine 9 duration 106 mins.
Operation 6 on Machine 7 duration 138 mins.
Operation 7 on Machine 5 duration 239 mins.
Operation 8 on Machine 4 duration 250 mins.
Operation 9 on Machine 11 duration 144 mins.
Operation 10 on Machine 3 duration 265 mins.
Operation 11 on Machine 10 duration 322 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 7 duration 64 mins.
Operation 1 on Machine 3 duration 19 mins.
Operation 2 on Machine 9 duration 205 mins.
Operation 3 on Machine 2 duration 114 mins.
Operation 4 on Machine 5 duration 20 mins.
Operation 5 on Machine 0 duration 186 mins.
Operation 6 on Machine 11 duration 271 mins.
Operation 7 on Machine 10 duration 88 mins.
Operation 8 on Machine 4 duration 229 mins.
Operation 9 on Machine 6 duration 278 mins.
Operation 10 on Machine 1 duration 245 mins.
Operation 11 on Machine 8 duration 98 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 10 duration 13 mins.
Operation 1 on Machine 11 duration 125 mins.
Operation 2 on Machine 9 duration 36 mins.
Operation 3 on Machine 4 duration 246 mins.
Operation 4 on Machine 7 duration 138 mins.
Operation 5 on Machine 3 duration 130 mins.
Operation 6 on Machine 5 duration 302 mins.
Operation 7 on Machine 8 duration 69 mins.
Operation 8 on Machine 2 duration 37 mins.
Operation 9 on Machine 1 duration 140 mins.
Operation 10 on Machine 0 duration 143 mins.
Operation 11 on Machine 6 duration 202 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 61 mins.
Operation 1 on Machine 9 duration 215 mins.
Operation 2 on Machine 3 duration 268 mins.
Operation 3 on Machine 5 duration 187 mins.
Operation 4 on Machine 4 duration 277 mins.
Operation 5 on Machine 8 duration 40 mins.
Operation 6 on Machine 10 duration 304 mins.
Operation 7 on Machine 6 duration 221 mins.
Operation 8 on Machine 11 duration 112 mins.
Operation 9 on Machine 1 duration 82 mins.
Operation 10 on Machine 0 duration 90 mins.
Operation 11 on Machine 7 duration 66 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 11 duration 63 mins.
Operation 1 on Machine 10 duration 123 mins.
Operation 2 on Machine 7 duration 70 mins.
Operation 3 on Machine 5 duration 69 mins.
Operation 4 on Machine 0 duration 318 mins.
Operation 5 on Machine 4 duration 272 mins.
Operation 6 on Machine 6 duration 225 mins.
Operation 7 on Machine 1 duration 209 mins.
Operation 8 on Machine 9 duration 154 mins.
Operation 9 on Machine 8 duration 67 mins.
Operation 10 on Machine 3 duration 249 mins.
Operation 11 on Machine 2 duration 126 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 6 duration 91 mins.
Operation 1 on Machine 11 duration 225 mins.
Operation 2 on Machine 7 duration 276 mins.
Operation 3 on Machine 10 duration 160 mins.
Operation 4 on Machine 2 duration 173 mins.
Operation 5 on Machine 8 duration 82 mins.
Operation 6 on Machine 9 duration 197 mins.
Operation 7 on Machine 1 duration 30 mins.
Operation 8 on Machine 3 duration 188 mins.
Operation 9 on Machine 0 duration 214 mins.
Operation 10 on Machine 5 duration 174 mins.
Operation 11 on Machine 4 duration 259 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 2 duration 244 mins.
Operation 1 on Machine 10 duration 82 mins.
Operation 2 on Machine 5 duration 111 mins.
Operation 3 on Machine 11 duration 172 mins.
Operation 4 on Machine 6 duration 9 mins.
Operation 5 on Machine 1 duration 10 mins.
Operation 6 on Machine 7 duration 27 mins.
Operation 7 on Machine 0 duration 247 mins.
Operation 8 on Machine 8 duration 245 mins.
Operation 9 on Machine 4 duration 242 mins.
Operation 10 on Machine 3 duration 150 mins.
Operation 11 on Machine 9 duration 287 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 7 duration 72 mins.
Operation 1 on Machine 6 duration 313 mins.
Operation 2 on Machine 3 duration 121 mins.
Operation 3 on Machine 4 duration 33 mins.
Operation 4 on Machine 10 duration 313 mins.
Operation 5 on Machine 1 duration 129 mins.
Operation 6 on Machine 2 duration 70 mins.
Operation 7 on Machine 0 duration 41 mins.
Operation 8 on Machine 5 duration 240 mins.
Operation 9 on Machine 8 duration 159 mins.
Operation 10 on Machine 9 duration 210 mins.
Operation 11 on Machine 11 duration 295 mins.
Job 10 consists of the following Operations:
Operation 0 on Machine 8 duration 205 mins.
Operation 1 on Machine 1 duration 183 mins.
Operation 2 on Machine 4 duration 284 mins.
Operation 3 on Machine 2 duration 107 mins.
Operation 4 on Machine 11 duration 266 mins.
Operation 5 on Machine 7 duration 17 mins.
Operation 6 on Machine 5 duration 5 mins.
Operation 7 on Machine 9 duration 112 mins.
Operation 8 on Machine 0 duration 228 mins.
Operation 9 on Machine 6 duration 61 mins.
Operation 10 on Machine 3 duration 176 mins.
Operation 11 on Machine 10 duration 215 mins.
Job 11 consists of the following Operations:
Operation 0 on Machine 3 duration 274 mins.
Operation 1 on Machine 10 duration 100 mins.
Operation 2 on Machine 5 duration 87 mins.
Operation 3 on Machine 2 duration 171 mins.
Operation 4 on Machine 1 duration 180 mins.
Operation 5 on Machine 11 duration 203 mins.
Operation 6 on Machine 9 duration 12 mins.
Operation 7 on Machine 6 duration 21 mins.
Operation 8 on Machine 0 duration 89 mins.
Operation 9 on Machine 4 duration 101 mins.
Operation 10 on Machine 7 duration 142 mins.
Operation 11 on Machine 8 duration 174 mins.
| null |
Optimize schedule for 12 Jobs across 12 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 4 duration 133 mins.
Job 6 Operation 4 duration 318 mins.
Job 0 Operation 5 duration 162 mins.
Job 1 Operation 5 duration 97 mins.
Job 3 Operation 5 duration 186 mins.
Job 8 Operation 7 duration 247 mins.
Job 9 Operation 7 duration 41 mins.
Job 10 Operation 8 duration 228 mins.
Job 11 Operation 8 duration 89 mins.
Job 7 Operation 9 duration 214 mins.
Job 4 Operation 10 duration 143 mins.
Job 5 Operation 10 duration 90 mins.
Machine 1 is used for the following Operations:
Job 10 Operation 1 duration 183 mins.
Job 2 Operation 2 duration 161 mins.
Job 1 Operation 4 duration 163 mins.
Job 11 Operation 4 duration 180 mins.
Job 8 Operation 5 duration 10 mins.
Job 9 Operation 5 duration 129 mins.
Job 0 Operation 7 duration 118 mins.
Job 6 Operation 7 duration 209 mins.
Job 7 Operation 7 duration 30 mins.
Job 4 Operation 9 duration 140 mins.
Job 5 Operation 9 duration 82 mins.
Job 3 Operation 10 duration 245 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 183 mins.
Job 5 Operation 0 duration 61 mins.
Job 8 Operation 0 duration 244 mins.
Job 2 Operation 1 duration 3 mins.
Job 3 Operation 3 duration 114 mins.
Job 10 Operation 3 duration 107 mins.
Job 11 Operation 3 duration 171 mins.
Job 7 Operation 4 duration 173 mins.
Job 1 Operation 6 duration 250 mins.
Job 9 Operation 6 duration 70 mins.
Job 4 Operation 8 duration 37 mins.
Job 6 Operation 11 duration 126 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 238 mins.
Job 11 Operation 0 duration 274 mins.
Job 3 Operation 1 duration 19 mins.
Job 5 Operation 2 duration 268 mins.
Job 9 Operation 2 duration 121 mins.
Job 4 Operation 5 duration 130 mins.
Job 7 Operation 8 duration 188 mins.
Job 0 Operation 10 duration 151 mins.
Job 2 Operation 10 duration 265 mins.
Job 6 Operation 10 duration 249 mins.
Job 8 Operation 10 duration 150 mins.
Job 10 Operation 10 duration 176 mins.
Machine 4 is used for the following Operations:
Job 10 Operation 2 duration 284 mins.
Job 4 Operation 3 duration 246 mins.
Job 9 Operation 3 duration 33 mins.
Job 5 Operation 4 duration 277 mins.
Job 6 Operation 5 duration 272 mins.
Job 2 Operation 8 duration 250 mins.
Job 3 Operation 8 duration 229 mins.
Job 0 Operation 9 duration 314 mins.
Job 8 Operation 9 duration 242 mins.
Job 11 Operation 9 duration 101 mins.
Job 1 Operation 10 duration 288 mins.
Job 7 Operation 11 duration 259 mins.
Machine 5 is used for the following Operations:
Job 1 Operation 2 duration 136 mins.
Job 8 Operation 2 duration 111 mins.
Job 11 Operation 2 duration 87 mins.
Job 5 Operation 3 duration 187 mins.
Job 6 Operation 3 duration 69 mins.
Job 0 Operation 4 duration 286 mins.
Job 3 Operation 4 duration 20 mins.
Job 4 Operation 6 duration 302 mins.
Job 10 Operation 6 duration 5 mins.
Job 2 Operation 7 duration 239 mins.
Job 9 Operation 8 duration 240 mins.
Job 7 Operation 10 duration 174 mins.
Machine 6 is used for the following Operations:
Job 2 Operation 0 duration 165 mins.
Job 7 Operation 0 duration 91 mins.
Job 9 Operation 1 duration 313 mins.
Job 0 Operation 3 duration 131 mins.
Job 8 Operation 4 duration 9 mins.
Job 6 Operation 6 duration 225 mins.
Job 5 Operation 7 duration 221 mins.
Job 11 Operation 7 duration 21 mins.
Job 1 Operation 9 duration 53 mins.
Job 3 Operation 9 duration 278 mins.
Job 10 Operation 9 duration 61 mins.
Job 4 Operation 11 duration 202 mins.
Machine 7 is used for the following Operations:
Job 3 Operation 0 duration 64 mins.
Job 9 Operation 0 duration 72 mins.
Job 1 Operation 1 duration 47 mins.
Job 6 Operation 2 duration 70 mins.
Job 7 Operation 2 duration 276 mins.
Job 4 Operation 4 duration 138 mins.
Job 10 Operation 5 duration 17 mins.
Job 2 Operation 6 duration 138 mins.
Job 8 Operation 6 duration 27 mins.
Job 11 Operation 10 duration 142 mins.
Job 0 Operation 11 duration 207 mins.
Job 5 Operation 11 duration 66 mins.
Machine 8 is used for the following Operations:
Job 10 Operation 0 duration 205 mins.
Job 0 Operation 2 duration 47 mins.
Job 1 Operation 3 duration 56 mins.
Job 2 Operation 3 duration 302 mins.
Job 5 Operation 5 duration 40 mins.
Job 7 Operation 5 duration 82 mins.
Job 4 Operation 7 duration 69 mins.
Job 8 Operation 8 duration 245 mins.
Job 6 Operation 9 duration 67 mins.
Job 9 Operation 9 duration 159 mins.
Job 3 Operation 11 duration 98 mins.
Job 11 Operation 11 duration 174 mins.
Machine 9 is used for the following Operations:
Job 0 Operation 1 duration 108 mins.
Job 5 Operation 1 duration 215 mins.
Job 3 Operation 2 duration 205 mins.
Job 4 Operation 2 duration 36 mins.
Job 2 Operation 5 duration 106 mins.
Job 7 Operation 6 duration 197 mins.
Job 11 Operation 6 duration 12 mins.
Job 1 Operation 7 duration 198 mins.
Job 10 Operation 7 duration 112 mins.
Job 6 Operation 8 duration 154 mins.
Job 9 Operation 10 duration 210 mins.
Job 8 Operation 11 duration 287 mins.
Machine 10 is used for the following Operations:
Job 4 Operation 0 duration 13 mins.
Job 6 Operation 1 duration 123 mins.
Job 8 Operation 1 duration 82 mins.
Job 11 Operation 1 duration 100 mins.
Job 7 Operation 3 duration 160 mins.
Job 9 Operation 4 duration 313 mins.
Job 0 Operation 6 duration 306 mins.
Job 5 Operation 6 duration 304 mins.
Job 3 Operation 7 duration 88 mins.
Job 1 Operation 8 duration 138 mins.
Job 2 Operation 11 duration 322 mins.
Job 10 Operation 11 duration 215 mins.
Machine 11 is used for the following Operations:
Job 6 Operation 0 duration 63 mins.
Job 4 Operation 1 duration 125 mins.
Job 7 Operation 1 duration 225 mins.
Job 8 Operation 3 duration 172 mins.
Job 10 Operation 4 duration 266 mins.
Job 11 Operation 5 duration 203 mins.
Job 3 Operation 6 duration 271 mins.
Job 0 Operation 8 duration 19 mins.
Job 5 Operation 8 duration 112 mins.
Job 2 Operation 9 duration 144 mins.
Job 1 Operation 11 duration 318 mins.
Job 9 Operation 11 duration 295 mins.
| null |
Solution:
Job 8 Operation 0 on Machine 2 : 0 + 244 -> 244
Job 11 Operation 0 on Machine 3 : 0 + 274 -> 274
Job 7 Operation 0 on Machine 6 : 0 + 91 -> 91
Job 3 Operation 0 on Machine 7 : 0 + 64 -> 64
Job 10 Operation 0 on Machine 8 : 0 + 205 -> 205
Job 4 Operation 0 on Machine 10 : 0 + 13 -> 13
Job 6 Operation 0 on Machine 11 : 0 + 63 -> 63
Job 6 Operation 1 on Machine 10 : 63 + 123 -> 186
Job 4 Operation 1 on Machine 11 : 63 + 125 -> 188
Job 9 Operation 0 on Machine 7 : 64 + 72 -> 136
Job 2 Operation 0 on Machine 6 : 91 + 165 -> 256
Job 6 Operation 2 on Machine 7 : 186 + 70 -> 256
Job 4 Operation 2 on Machine 9 : 188 + 36 -> 224
Job 7 Operation 1 on Machine 11 : 188 + 225 -> 413
Job 10 Operation 1 on Machine 1 : 205 + 183 -> 388
Job 4 Operation 3 on Machine 4 : 224 + 246 -> 470
Job 5 Operation 0 on Machine 2 : 244 + 61 -> 305
Job 8 Operation 1 on Machine 10 : 244 + 82 -> 326
Job 6 Operation 3 on Machine 5 : 256 + 69 -> 325
Job 9 Operation 1 on Machine 6 : 256 + 313 -> 569
Job 3 Operation 1 on Machine 3 : 274 + 19 -> 293
Job 1 Operation 0 on Machine 3 : 293 + 238 -> 531
Job 2 Operation 1 on Machine 2 : 305 + 3 -> 308
Job 5 Operation 1 on Machine 9 : 305 + 215 -> 520
Job 0 Operation 0 on Machine 2 : 308 + 183 -> 491
Job 6 Operation 4 on Machine 0 : 325 + 318 -> 643
Job 8 Operation 2 on Machine 5 : 326 + 111 -> 437
Job 11 Operation 1 on Machine 10 : 326 + 100 -> 426
Job 2 Operation 2 on Machine 1 : 388 + 161 -> 549
Job 8 Operation 3 on Machine 11 : 437 + 172 -> 609
Job 10 Operation 2 on Machine 4 : 470 + 284 -> 754
Job 3 Operation 2 on Machine 9 : 520 + 205 -> 725
Job 5 Operation 2 on Machine 3 : 531 + 268 -> 799
Job 1 Operation 1 on Machine 7 : 531 + 47 -> 578
Job 2 Operation 3 on Machine 8 : 549 + 302 -> 851
Job 1 Operation 2 on Machine 5 : 578 + 136 -> 714
Job 8 Operation 4 on Machine 6 : 609 + 9 -> 618
Job 8 Operation 5 on Machine 1 : 618 + 10 -> 628
Job 8 Operation 6 on Machine 7 : 628 + 27 -> 655
Job 8 Operation 7 on Machine 0 : 655 + 247 -> 902
Job 7 Operation 2 on Machine 7 : 655 + 276 -> 931
Job 11 Operation 2 on Machine 5 : 714 + 87 -> 801
Job 3 Operation 3 on Machine 2 : 725 + 114 -> 839
Job 0 Operation 1 on Machine 9 : 725 + 108 -> 833
Job 6 Operation 5 on Machine 4 : 754 + 272 -> 1026
Job 9 Operation 2 on Machine 3 : 799 + 121 -> 920
Job 10 Operation 3 on Machine 2 : 839 + 107 -> 946
Job 3 Operation 4 on Machine 5 : 839 + 20 -> 859
Job 0 Operation 2 on Machine 8 : 851 + 47 -> 898
Job 5 Operation 3 on Machine 5 : 859 + 187 -> 1046
Job 0 Operation 3 on Machine 6 : 898 + 131 -> 1029
Job 1 Operation 3 on Machine 8 : 898 + 56 -> 954
Job 2 Operation 4 on Machine 0 : 902 + 133 -> 1035
Job 4 Operation 4 on Machine 7 : 931 + 138 -> 1069
Job 7 Operation 3 on Machine 10 : 931 + 160 -> 1091
Job 11 Operation 3 on Machine 2 : 946 + 171 -> 1117
Job 10 Operation 4 on Machine 11 : 946 + 266 -> 1212
Job 1 Operation 4 on Machine 1 : 954 + 163 -> 1117
Job 8 Operation 8 on Machine 8 : 954 + 245 -> 1199
Job 9 Operation 3 on Machine 4 : 1026 + 33 -> 1059
Job 6 Operation 6 on Machine 6 : 1029 + 225 -> 1254
Job 3 Operation 5 on Machine 0 : 1035 + 186 -> 1221
Job 2 Operation 5 on Machine 9 : 1035 + 106 -> 1141
Job 0 Operation 4 on Machine 5 : 1046 + 286 -> 1332
Job 5 Operation 4 on Machine 4 : 1059 + 277 -> 1336
Job 4 Operation 5 on Machine 3 : 1069 + 130 -> 1199
Job 9 Operation 4 on Machine 10 : 1091 + 313 -> 1404
Job 11 Operation 4 on Machine 1 : 1117 + 180 -> 1297
Job 7 Operation 4 on Machine 2 : 1117 + 173 -> 1290
Job 2 Operation 6 on Machine 7 : 1141 + 138 -> 1279
Job 1 Operation 5 on Machine 0 : 1221 + 97 -> 1318
Job 3 Operation 6 on Machine 11 : 1221 + 271 -> 1492
Job 10 Operation 5 on Machine 7 : 1279 + 17 -> 1296
Job 7 Operation 5 on Machine 8 : 1290 + 82 -> 1372
Job 1 Operation 6 on Machine 2 : 1318 + 250 -> 1568
Job 0 Operation 5 on Machine 0 : 1332 + 162 -> 1494
Job 2 Operation 7 on Machine 5 : 1332 + 239 -> 1571
Job 8 Operation 9 on Machine 4 : 1336 + 242 -> 1578
Job 5 Operation 5 on Machine 8 : 1372 + 40 -> 1412
Job 7 Operation 6 on Machine 9 : 1372 + 197 -> 1569
Job 9 Operation 5 on Machine 1 : 1404 + 129 -> 1533
Job 3 Operation 7 on Machine 10 : 1492 + 88 -> 1580
Job 11 Operation 5 on Machine 11 : 1492 + 203 -> 1695
Job 9 Operation 6 on Machine 2 : 1568 + 70 -> 1638
Job 7 Operation 7 on Machine 1 : 1569 + 30 -> 1599
Job 10 Operation 6 on Machine 5 : 1571 + 5 -> 1576
Job 10 Operation 7 on Machine 9 : 1576 + 112 -> 1688
Job 8 Operation 10 on Machine 3 : 1578 + 150 -> 1728
Job 2 Operation 8 on Machine 4 : 1578 + 250 -> 1828
Job 0 Operation 6 on Machine 10 : 1580 + 306 -> 1886
Job 9 Operation 7 on Machine 0 : 1638 + 41 -> 1679
Job 9 Operation 8 on Machine 5 : 1679 + 240 -> 1919
Job 10 Operation 8 on Machine 0 : 1688 + 228 -> 1916
Job 11 Operation 6 on Machine 9 : 1695 + 12 -> 1707
Job 11 Operation 7 on Machine 6 : 1707 + 21 -> 1728
Job 1 Operation 7 on Machine 9 : 1707 + 198 -> 1905
Job 7 Operation 8 on Machine 3 : 1728 + 188 -> 1916
Job 3 Operation 8 on Machine 4 : 1828 + 229 -> 2057
Job 2 Operation 9 on Machine 11 : 1828 + 144 -> 1972
Job 0 Operation 7 on Machine 1 : 1886 + 118 -> 2004
Job 1 Operation 8 on Machine 10 : 1905 + 138 -> 2043
Job 11 Operation 8 on Machine 0 : 1916 + 89 -> 2005
Job 10 Operation 9 on Machine 6 : 1916 + 61 -> 1977
Job 4 Operation 6 on Machine 5 : 1919 + 302 -> 2221
Job 9 Operation 9 on Machine 8 : 1919 + 159 -> 2078
Job 2 Operation 10 on Machine 3 : 1972 + 265 -> 2237
Job 6 Operation 7 on Machine 1 : 2004 + 209 -> 2213
Job 0 Operation 8 on Machine 11 : 2004 + 19 -> 2023
Job 7 Operation 9 on Machine 0 : 2005 + 214 -> 2219
Job 1 Operation 9 on Machine 6 : 2043 + 53 -> 2096
Job 5 Operation 6 on Machine 10 : 2043 + 304 -> 2347
Job 0 Operation 9 on Machine 4 : 2057 + 314 -> 2371
Job 9 Operation 10 on Machine 9 : 2078 + 210 -> 2288
Job 3 Operation 9 on Machine 6 : 2096 + 278 -> 2374
Job 7 Operation 10 on Machine 5 : 2221 + 174 -> 2395
Job 4 Operation 7 on Machine 8 : 2221 + 69 -> 2290
Job 6 Operation 8 on Machine 9 : 2288 + 154 -> 2442
Job 9 Operation 11 on Machine 11 : 2288 + 295 -> 2583
Job 4 Operation 8 on Machine 2 : 2290 + 37 -> 2327
Job 4 Operation 9 on Machine 1 : 2327 + 140 -> 2467
Job 2 Operation 11 on Machine 10 : 2347 + 322 -> 2669
Job 0 Operation 10 on Machine 3 : 2371 + 151 -> 2522
Job 1 Operation 10 on Machine 4 : 2371 + 288 -> 2659
Job 5 Operation 7 on Machine 6 : 2374 + 221 -> 2595
Job 6 Operation 9 on Machine 8 : 2442 + 67 -> 2509
Job 8 Operation 11 on Machine 9 : 2442 + 287 -> 2729
Job 4 Operation 10 on Machine 0 : 2467 + 143 -> 2610
Job 3 Operation 10 on Machine 1 : 2467 + 245 -> 2712
Job 10 Operation 10 on Machine 3 : 2522 + 176 -> 2698
Job 0 Operation 11 on Machine 7 : 2522 + 207 -> 2729
Job 5 Operation 8 on Machine 11 : 2595 + 112 -> 2707
Job 4 Operation 11 on Machine 6 : 2610 + 202 -> 2812
Job 11 Operation 9 on Machine 4 : 2659 + 101 -> 2760
Job 6 Operation 10 on Machine 3 : 2698 + 249 -> 2947
Job 10 Operation 11 on Machine 10 : 2698 + 215 -> 2913
Job 1 Operation 11 on Machine 11 : 2707 + 318 -> 3025
Job 5 Operation 9 on Machine 1 : 2712 + 82 -> 2794
Job 3 Operation 11 on Machine 8 : 2712 + 98 -> 2810
Job 7 Operation 11 on Machine 4 : 2760 + 259 -> 3019
Job 11 Operation 10 on Machine 7 : 2760 + 142 -> 2902
Job 5 Operation 10 on Machine 0 : 2794 + 90 -> 2884
Job 5 Operation 11 on Machine 7 : 2902 + 66 -> 2968
Job 11 Operation 11 on Machine 8 : 2902 + 174 -> 3076
Job 6 Operation 11 on Machine 2 : 2947 + 126 -> 3073
Makespan: 3076.0, as it is the maximum end completion time of Operation 11
| null |
|
8 | 7 |
Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 38 mins.
Operation 1 on Machine 5 duration 93 mins.
Operation 2 on Machine 6 duration 96 mins.
Operation 3 on Machine 2 duration 343 mins.
Operation 4 on Machine 1 duration 190 mins.
Operation 5 on Machine 0 duration 8 mins.
Operation 6 on Machine 3 duration 223 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 314 mins.
Operation 1 on Machine 2 duration 201 mins.
Operation 2 on Machine 6 duration 86 mins.
Operation 3 on Machine 0 duration 231 mins.
Operation 4 on Machine 3 duration 53 mins.
Operation 5 on Machine 5 duration 142 mins.
Operation 6 on Machine 1 duration 60 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 5 duration 300 mins.
Operation 1 on Machine 3 duration 14 mins.
Operation 2 on Machine 0 duration 264 mins.
Operation 3 on Machine 4 duration 350 mins.
Operation 4 on Machine 1 duration 275 mins.
Operation 5 on Machine 6 duration 340 mins.
Operation 6 on Machine 2 duration 213 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 6 duration 175 mins.
Operation 1 on Machine 0 duration 303 mins.
Operation 2 on Machine 4 duration 140 mins.
Operation 3 on Machine 5 duration 150 mins.
Operation 4 on Machine 1 duration 146 mins.
Operation 5 on Machine 2 duration 4 mins.
Operation 6 on Machine 3 duration 163 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 6 duration 23 mins.
Operation 1 on Machine 2 duration 137 mins.
Operation 2 on Machine 1 duration 233 mins.
Operation 3 on Machine 4 duration 196 mins.
Operation 4 on Machine 0 duration 127 mins.
Operation 5 on Machine 3 duration 207 mins.
Operation 6 on Machine 5 duration 203 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 5 duration 271 mins.
Operation 1 on Machine 0 duration 172 mins.
Operation 2 on Machine 1 duration 27 mins.
Operation 3 on Machine 2 duration 287 mins.
Operation 4 on Machine 3 duration 127 mins.
Operation 5 on Machine 4 duration 325 mins.
Operation 6 on Machine 6 duration 104 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 6 duration 190 mins.
Operation 1 on Machine 0 duration 270 mins.
Operation 2 on Machine 2 duration 239 mins.
Operation 3 on Machine 3 duration 5 mins.
Operation 4 on Machine 5 duration 278 mins.
Operation 5 on Machine 4 duration 66 mins.
Operation 6 on Machine 1 duration 309 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 4 duration 117 mins.
Operation 1 on Machine 2 duration 163 mins.
Operation 2 on Machine 3 duration 3 mins.
Operation 3 on Machine 5 duration 289 mins.
Operation 4 on Machine 0 duration 171 mins.
Operation 5 on Machine 1 duration 318 mins.
Operation 6 on Machine 6 duration 58 mins.
| null |
Optimize schedule for 8 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 1 duration 303 mins.
Job 5 Operation 1 duration 172 mins.
Job 6 Operation 1 duration 270 mins.
Job 2 Operation 2 duration 264 mins.
Job 1 Operation 3 duration 231 mins.
Job 4 Operation 4 duration 127 mins.
Job 7 Operation 4 duration 171 mins.
Job 0 Operation 5 duration 8 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 2 duration 233 mins.
Job 5 Operation 2 duration 27 mins.
Job 0 Operation 4 duration 190 mins.
Job 2 Operation 4 duration 275 mins.
Job 3 Operation 4 duration 146 mins.
Job 7 Operation 5 duration 318 mins.
Job 1 Operation 6 duration 60 mins.
Job 6 Operation 6 duration 309 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 201 mins.
Job 4 Operation 1 duration 137 mins.
Job 7 Operation 1 duration 163 mins.
Job 6 Operation 2 duration 239 mins.
Job 0 Operation 3 duration 343 mins.
Job 5 Operation 3 duration 287 mins.
Job 3 Operation 5 duration 4 mins.
Job 2 Operation 6 duration 213 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 1 duration 14 mins.
Job 7 Operation 2 duration 3 mins.
Job 6 Operation 3 duration 5 mins.
Job 1 Operation 4 duration 53 mins.
Job 5 Operation 4 duration 127 mins.
Job 4 Operation 5 duration 207 mins.
Job 0 Operation 6 duration 223 mins.
Job 3 Operation 6 duration 163 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 38 mins.
Job 1 Operation 0 duration 314 mins.
Job 7 Operation 0 duration 117 mins.
Job 3 Operation 2 duration 140 mins.
Job 2 Operation 3 duration 350 mins.
Job 4 Operation 3 duration 196 mins.
Job 5 Operation 5 duration 325 mins.
Job 6 Operation 5 duration 66 mins.
Machine 5 is used for the following Operations:
Job 2 Operation 0 duration 300 mins.
Job 5 Operation 0 duration 271 mins.
Job 0 Operation 1 duration 93 mins.
Job 3 Operation 3 duration 150 mins.
Job 7 Operation 3 duration 289 mins.
Job 6 Operation 4 duration 278 mins.
Job 1 Operation 5 duration 142 mins.
Job 4 Operation 6 duration 203 mins.
Machine 6 is used for the following Operations:
Job 3 Operation 0 duration 175 mins.
Job 4 Operation 0 duration 23 mins.
Job 6 Operation 0 duration 190 mins.
Job 0 Operation 2 duration 96 mins.
Job 1 Operation 2 duration 86 mins.
Job 2 Operation 5 duration 340 mins.
Job 5 Operation 6 duration 104 mins.
Job 7 Operation 6 duration 58 mins.
| null |
Solution:
Job 7 Operation 0 on Machine 4 : 0 + 117 -> 117
Job 2 Operation 0 on Machine 5 : 0 + 300 -> 300
Job 3 Operation 0 on Machine 6 : 0 + 175 -> 175
Job 7 Operation 1 on Machine 2 : 117 + 163 -> 280
Job 0 Operation 0 on Machine 4 : 117 + 38 -> 155
Job 1 Operation 0 on Machine 4 : 155 + 314 -> 469
Job 3 Operation 1 on Machine 0 : 175 + 303 -> 478
Job 4 Operation 0 on Machine 6 : 175 + 23 -> 198
Job 6 Operation 0 on Machine 6 : 198 + 190 -> 388
Job 4 Operation 1 on Machine 2 : 280 + 137 -> 417
Job 7 Operation 2 on Machine 3 : 280 + 3 -> 283
Job 2 Operation 1 on Machine 3 : 300 + 14 -> 314
Job 0 Operation 1 on Machine 5 : 300 + 93 -> 393
Job 5 Operation 0 on Machine 5 : 393 + 271 -> 664
Job 0 Operation 2 on Machine 6 : 393 + 96 -> 489
Job 4 Operation 2 on Machine 1 : 417 + 233 -> 650
Job 2 Operation 2 on Machine 0 : 478 + 264 -> 742
Job 3 Operation 2 on Machine 4 : 478 + 140 -> 618
Job 0 Operation 3 on Machine 2 : 489 + 343 -> 832
Job 3 Operation 3 on Machine 5 : 664 + 150 -> 814
Job 6 Operation 1 on Machine 0 : 742 + 270 -> 1012
Job 2 Operation 3 on Machine 4 : 742 + 350 -> 1092
Job 7 Operation 3 on Machine 5 : 814 + 289 -> 1103
Job 0 Operation 4 on Machine 1 : 832 + 190 -> 1022
Job 1 Operation 1 on Machine 2 : 832 + 201 -> 1033
Job 5 Operation 1 on Machine 0 : 1012 + 172 -> 1184
Job 3 Operation 4 on Machine 1 : 1022 + 146 -> 1168
Job 6 Operation 2 on Machine 2 : 1033 + 239 -> 1272
Job 1 Operation 2 on Machine 6 : 1033 + 86 -> 1119
Job 4 Operation 3 on Machine 4 : 1092 + 196 -> 1288
Job 0 Operation 5 on Machine 0 : 1184 + 8 -> 1192
Job 5 Operation 2 on Machine 1 : 1184 + 27 -> 1211
Job 7 Operation 4 on Machine 0 : 1192 + 171 -> 1363
Job 2 Operation 4 on Machine 1 : 1211 + 275 -> 1486
Job 5 Operation 3 on Machine 2 : 1272 + 287 -> 1559
Job 6 Operation 3 on Machine 3 : 1272 + 5 -> 1277
Job 0 Operation 6 on Machine 3 : 1277 + 223 -> 1500
Job 6 Operation 4 on Machine 5 : 1277 + 278 -> 1555
Job 1 Operation 3 on Machine 0 : 1363 + 231 -> 1594
Job 7 Operation 5 on Machine 1 : 1486 + 318 -> 1804
Job 2 Operation 5 on Machine 6 : 1486 + 340 -> 1826
Job 6 Operation 5 on Machine 4 : 1555 + 66 -> 1621
Job 3 Operation 5 on Machine 2 : 1559 + 4 -> 1563
Job 5 Operation 4 on Machine 3 : 1559 + 127 -> 1686
Job 4 Operation 4 on Machine 0 : 1594 + 127 -> 1721
Job 1 Operation 4 on Machine 3 : 1686 + 53 -> 1739
Job 5 Operation 5 on Machine 4 : 1686 + 325 -> 2011
Job 4 Operation 5 on Machine 3 : 1739 + 207 -> 1946
Job 1 Operation 5 on Machine 5 : 1739 + 142 -> 1881
Job 6 Operation 6 on Machine 1 : 1804 + 309 -> 2113
Job 2 Operation 6 on Machine 2 : 1826 + 213 -> 2039
Job 7 Operation 6 on Machine 6 : 1826 + 58 -> 1884
Job 3 Operation 6 on Machine 3 : 1946 + 163 -> 2109
Job 4 Operation 6 on Machine 5 : 1946 + 203 -> 2149
Job 5 Operation 6 on Machine 6 : 2011 + 104 -> 2115
Job 1 Operation 6 on Machine 1 : 2113 + 60 -> 2173
Makespan: 2173.0, as it is the maximum end completion time of Operation 6
| null |
|
7 | 5 |
Optimize schedule for 7 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 27 mins.
Operation 1 on Machine 1 duration 293 mins.
Operation 2 on Machine 2 duration 329 mins.
Operation 3 on Machine 4 duration 387 mins.
Operation 4 on Machine 3 duration 326 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 141 mins.
Operation 1 on Machine 0 duration 254 mins.
Operation 2 on Machine 4 duration 86 mins.
Operation 3 on Machine 3 duration 28 mins.
Operation 4 on Machine 2 duration 196 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 351 mins.
Operation 1 on Machine 2 duration 330 mins.
Operation 2 on Machine 4 duration 383 mins.
Operation 3 on Machine 0 duration 294 mins.
Operation 4 on Machine 3 duration 239 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 216 mins.
Operation 1 on Machine 4 duration 126 mins.
Operation 2 on Machine 3 duration 178 mins.
Operation 3 on Machine 1 duration 76 mins.
Operation 4 on Machine 2 duration 226 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 3 duration 19 mins.
Operation 1 on Machine 1 duration 49 mins.
Operation 2 on Machine 2 duration 238 mins.
Operation 3 on Machine 4 duration 393 mins.
Operation 4 on Machine 0 duration 185 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 4 duration 305 mins.
Operation 1 on Machine 0 duration 359 mins.
Operation 2 on Machine 3 duration 413 mins.
Operation 3 on Machine 2 duration 4 mins.
Operation 4 on Machine 1 duration 9 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 2 duration 137 mins.
Operation 1 on Machine 0 duration 350 mins.
Operation 2 on Machine 4 duration 348 mins.
Operation 3 on Machine 3 duration 153 mins.
Operation 4 on Machine 1 duration 219 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 0 Operation 0 duration 27 mins.
Job 3 Operation 0 duration 216 mins.
Job 1 Operation 1 duration 254 mins.
Job 5 Operation 1 duration 359 mins.
Job 6 Operation 1 duration 350 mins.
Job 2 Operation 3 duration 294 mins.
Job 4 Operation 4 duration 185 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 141 mins.
Job 2 Operation 0 duration 351 mins.
Job 0 Operation 1 duration 293 mins.
Job 4 Operation 1 duration 49 mins.
Job 3 Operation 3 duration 76 mins.
Job 5 Operation 4 duration 9 mins.
Job 6 Operation 4 duration 219 mins.
Machine 2 is used for the following Operations:
Job 6 Operation 0 duration 137 mins.
Job 2 Operation 1 duration 330 mins.
Job 0 Operation 2 duration 329 mins.
Job 4 Operation 2 duration 238 mins.
Job 5 Operation 3 duration 4 mins.
Job 1 Operation 4 duration 196 mins.
Job 3 Operation 4 duration 226 mins.
Machine 3 is used for the following Operations:
Job 4 Operation 0 duration 19 mins.
Job 3 Operation 2 duration 178 mins.
Job 5 Operation 2 duration 413 mins.
Job 1 Operation 3 duration 28 mins.
Job 6 Operation 3 duration 153 mins.
Job 0 Operation 4 duration 326 mins.
Job 2 Operation 4 duration 239 mins.
Machine 4 is used for the following Operations:
Job 5 Operation 0 duration 305 mins.
Job 3 Operation 1 duration 126 mins.
Job 1 Operation 2 duration 86 mins.
Job 2 Operation 2 duration 383 mins.
Job 6 Operation 2 duration 348 mins.
Job 0 Operation 3 duration 387 mins.
Job 4 Operation 3 duration 393 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 216 -> 216
Job 6 Operation 0 on Machine 2 : 0 + 137 -> 137
Job 4 Operation 0 on Machine 3 : 0 + 19 -> 19
Job 5 Operation 0 on Machine 4 : 0 + 305 -> 305
Job 4 Operation 1 on Machine 1 : 19 + 49 -> 68
Job 1 Operation 0 on Machine 1 : 68 + 141 -> 209
Job 4 Operation 2 on Machine 2 : 137 + 238 -> 375
Job 2 Operation 0 on Machine 1 : 209 + 351 -> 560
Job 6 Operation 1 on Machine 0 : 216 + 350 -> 566
Job 3 Operation 1 on Machine 4 : 305 + 126 -> 431
Job 3 Operation 2 on Machine 3 : 431 + 178 -> 609
Job 2 Operation 1 on Machine 2 : 560 + 330 -> 890
Job 0 Operation 0 on Machine 0 : 566 + 27 -> 593
Job 6 Operation 2 on Machine 4 : 566 + 348 -> 914
Job 1 Operation 1 on Machine 0 : 593 + 254 -> 847
Job 0 Operation 1 on Machine 1 : 593 + 293 -> 886
Job 5 Operation 1 on Machine 0 : 847 + 359 -> 1206
Job 0 Operation 2 on Machine 2 : 890 + 329 -> 1219
Job 1 Operation 2 on Machine 4 : 914 + 86 -> 1000
Job 1 Operation 3 on Machine 3 : 1000 + 28 -> 1028
Job 2 Operation 2 on Machine 4 : 1000 + 383 -> 1383
Job 6 Operation 3 on Machine 3 : 1028 + 153 -> 1181
Job 5 Operation 2 on Machine 3 : 1206 + 413 -> 1619
Job 2 Operation 3 on Machine 0 : 1383 + 294 -> 1677
Job 0 Operation 3 on Machine 4 : 1383 + 387 -> 1770
Job 5 Operation 3 on Machine 2 : 1619 + 4 -> 1623
Job 5 Operation 4 on Machine 1 : 1623 + 9 -> 1632
Job 1 Operation 4 on Machine 2 : 1623 + 196 -> 1819
Job 3 Operation 3 on Machine 1 : 1632 + 76 -> 1708
Job 2 Operation 4 on Machine 3 : 1677 + 239 -> 1916
Job 6 Operation 4 on Machine 1 : 1708 + 219 -> 1927
Job 4 Operation 3 on Machine 4 : 1770 + 393 -> 2163
Job 3 Operation 4 on Machine 2 : 1819 + 226 -> 2045
Job 0 Operation 4 on Machine 3 : 1916 + 326 -> 2242
Job 4 Operation 4 on Machine 0 : 2163 + 185 -> 2348
Makespan: 2348.0, as it is the maximum end completion time of Operation 4
| null |
|
6 | 4 |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 337 mins.
Operation 1 on Machine 3 duration 346 mins.
Operation 2 on Machine 1 duration 308 mins.
Operation 3 on Machine 2 duration 73 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 124 mins.
Operation 1 on Machine 3 duration 344 mins.
Operation 2 on Machine 2 duration 103 mins.
Operation 3 on Machine 0 duration 330 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 216 mins.
Operation 1 on Machine 1 duration 95 mins.
Operation 2 on Machine 3 duration 240 mins.
Operation 3 on Machine 0 duration 201 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 297 mins.
Operation 1 on Machine 0 duration 189 mins.
Operation 2 on Machine 1 duration 208 mins.
Operation 3 on Machine 3 duration 23 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 131 mins.
Operation 1 on Machine 2 duration 150 mins.
Operation 2 on Machine 3 duration 57 mins.
Operation 3 on Machine 0 duration 331 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 265 mins.
Operation 1 on Machine 3 duration 4 mins.
Operation 2 on Machine 0 duration 43 mins.
Operation 3 on Machine 2 duration 341 mins.
| null |
Optimize schedule for 6 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 337 mins.
Job 3 Operation 1 duration 189 mins.
Job 5 Operation 2 duration 43 mins.
Job 1 Operation 3 duration 330 mins.
Job 2 Operation 3 duration 201 mins.
Job 4 Operation 3 duration 331 mins.
Machine 1 is used for the following Operations:
Job 1 Operation 0 duration 124 mins.
Job 4 Operation 0 duration 131 mins.
Job 5 Operation 0 duration 265 mins.
Job 2 Operation 1 duration 95 mins.
Job 0 Operation 2 duration 308 mins.
Job 3 Operation 2 duration 208 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 216 mins.
Job 3 Operation 0 duration 297 mins.
Job 4 Operation 1 duration 150 mins.
Job 1 Operation 2 duration 103 mins.
Job 0 Operation 3 duration 73 mins.
Job 5 Operation 3 duration 341 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 1 duration 346 mins.
Job 1 Operation 1 duration 344 mins.
Job 5 Operation 1 duration 4 mins.
Job 2 Operation 2 duration 240 mins.
Job 4 Operation 2 duration 57 mins.
Job 3 Operation 3 duration 23 mins.
| null |
Solution:
Job 0 Operation 0 on Machine 0 : 0 + 337 -> 337
Job 1 Operation 0 on Machine 1 : 0 + 124 -> 124
Job 3 Operation 0 on Machine 2 : 0 + 297 -> 297
Job 4 Operation 0 on Machine 1 : 124 + 131 -> 255
Job 1 Operation 1 on Machine 3 : 124 + 344 -> 468
Job 5 Operation 0 on Machine 1 : 255 + 265 -> 520
Job 4 Operation 1 on Machine 2 : 297 + 150 -> 447
Job 3 Operation 1 on Machine 0 : 337 + 189 -> 526
Job 2 Operation 0 on Machine 2 : 447 + 216 -> 663
Job 4 Operation 2 on Machine 3 : 468 + 57 -> 525
Job 5 Operation 1 on Machine 3 : 525 + 4 -> 529
Job 4 Operation 3 on Machine 0 : 526 + 331 -> 857
Job 3 Operation 2 on Machine 1 : 526 + 208 -> 734
Job 0 Operation 1 on Machine 3 : 529 + 346 -> 875
Job 1 Operation 2 on Machine 2 : 663 + 103 -> 766
Job 2 Operation 1 on Machine 1 : 734 + 95 -> 829
Job 5 Operation 2 on Machine 0 : 857 + 43 -> 900
Job 0 Operation 2 on Machine 1 : 875 + 308 -> 1183
Job 3 Operation 3 on Machine 3 : 875 + 23 -> 898
Job 2 Operation 2 on Machine 3 : 898 + 240 -> 1138
Job 1 Operation 3 on Machine 0 : 900 + 330 -> 1230
Job 5 Operation 3 on Machine 2 : 900 + 341 -> 1241
Job 2 Operation 3 on Machine 0 : 1230 + 201 -> 1431
Job 0 Operation 3 on Machine 2 : 1241 + 73 -> 1314
Makespan: 1431.0, 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 106 mins.
Operation 1 on Machine 1 duration 239 mins.
Operation 2 on Machine 4 duration 138 mins.
Operation 3 on Machine 3 duration 167 mins.
Operation 4 on Machine 0 duration 61 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 144 mins.
Operation 1 on Machine 3 duration 107 mins.
Operation 2 on Machine 4 duration 181 mins.
Operation 3 on Machine 1 duration 188 mins.
Operation 4 on Machine 2 duration 126 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 4 duration 160 mins.
Operation 1 on Machine 1 duration 184 mins.
Operation 2 on Machine 2 duration 150 mins.
Operation 3 on Machine 3 duration 64 mins.
Operation 4 on Machine 0 duration 55 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 142 mins.
Operation 1 on Machine 2 duration 224 mins.
Operation 2 on Machine 4 duration 233 mins.
Operation 3 on Machine 0 duration 41 mins.
Operation 4 on Machine 1 duration 228 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 113 mins.
Operation 1 on Machine 0 duration 126 mins.
Operation 2 on Machine 2 duration 56 mins.
Operation 3 on Machine 1 duration 52 mins.
Operation 4 on Machine 3 duration 88 mins.
| null |
Optimize schedule for 5 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 144 mins.
Job 4 Operation 1 duration 126 mins.
Job 3 Operation 3 duration 41 mins.
Job 0 Operation 4 duration 61 mins.
Job 2 Operation 4 duration 55 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 1 duration 239 mins.
Job 2 Operation 1 duration 184 mins.
Job 1 Operation 3 duration 188 mins.
Job 4 Operation 3 duration 52 mins.
Job 3 Operation 4 duration 228 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 106 mins.
Job 3 Operation 1 duration 224 mins.
Job 2 Operation 2 duration 150 mins.
Job 4 Operation 2 duration 56 mins.
Job 1 Operation 4 duration 126 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 142 mins.
Job 1 Operation 1 duration 107 mins.
Job 0 Operation 3 duration 167 mins.
Job 2 Operation 3 duration 64 mins.
Job 4 Operation 4 duration 88 mins.
Machine 4 is used for the following Operations:
Job 2 Operation 0 duration 160 mins.
Job 4 Operation 0 duration 113 mins.
Job 0 Operation 2 duration 138 mins.
Job 1 Operation 2 duration 181 mins.
Job 3 Operation 2 duration 233 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 144 -> 144
Job 0 Operation 0 on Machine 2 : 0 + 106 -> 106
Job 3 Operation 0 on Machine 3 : 0 + 142 -> 142
Job 2 Operation 0 on Machine 4 : 0 + 160 -> 160
Job 3 Operation 1 on Machine 2 : 142 + 224 -> 366
Job 1 Operation 1 on Machine 3 : 144 + 107 -> 251
Job 2 Operation 1 on Machine 1 : 160 + 184 -> 344
Job 4 Operation 0 on Machine 4 : 160 + 113 -> 273
Job 4 Operation 1 on Machine 0 : 273 + 126 -> 399
Job 1 Operation 2 on Machine 4 : 273 + 181 -> 454
Job 0 Operation 1 on Machine 1 : 344 + 239 -> 583
Job 2 Operation 2 on Machine 2 : 366 + 150 -> 516
Job 3 Operation 2 on Machine 4 : 454 + 233 -> 687
Job 4 Operation 2 on Machine 2 : 516 + 56 -> 572
Job 2 Operation 3 on Machine 3 : 516 + 64 -> 580
Job 2 Operation 4 on Machine 0 : 580 + 55 -> 635
Job 4 Operation 3 on Machine 1 : 583 + 52 -> 635
Job 1 Operation 3 on Machine 1 : 635 + 188 -> 823
Job 4 Operation 4 on Machine 3 : 635 + 88 -> 723
Job 3 Operation 3 on Machine 0 : 687 + 41 -> 728
Job 0 Operation 2 on Machine 4 : 687 + 138 -> 825
Job 3 Operation 4 on Machine 1 : 823 + 228 -> 1051
Job 1 Operation 4 on Machine 2 : 823 + 126 -> 949
Job 0 Operation 3 on Machine 3 : 825 + 167 -> 992
Job 0 Operation 4 on Machine 0 : 992 + 61 -> 1053
Makespan: 1053.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 4 |
Optimize schedule for 9 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 83 mins.
Operation 1 on Machine 0 duration 104 mins.
Operation 2 on Machine 3 duration 19 mins.
Operation 3 on Machine 1 duration 58 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 29 mins.
Operation 1 on Machine 2 duration 19 mins.
Operation 2 on Machine 3 duration 41 mins.
Operation 3 on Machine 1 duration 81 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 72 mins.
Operation 1 on Machine 1 duration 39 mins.
Operation 2 on Machine 0 duration 117 mins.
Operation 3 on Machine 3 duration 88 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 3 duration 113 mins.
Operation 1 on Machine 0 duration 14 mins.
Operation 2 on Machine 1 duration 64 mins.
Operation 3 on Machine 2 duration 13 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 26 mins.
Operation 1 on Machine 0 duration 120 mins.
Operation 2 on Machine 3 duration 99 mins.
Operation 3 on Machine 2 duration 53 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 116 mins.
Operation 1 on Machine 2 duration 88 mins.
Operation 2 on Machine 3 duration 20 mins.
Operation 3 on Machine 0 duration 45 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 75 mins.
Operation 1 on Machine 2 duration 103 mins.
Operation 2 on Machine 1 duration 44 mins.
Operation 3 on Machine 0 duration 27 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 3 duration 62 mins.
Operation 1 on Machine 2 duration 4 mins.
Operation 2 on Machine 1 duration 19 mins.
Operation 3 on Machine 0 duration 42 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 101 mins.
Operation 1 on Machine 1 duration 34 mins.
Operation 2 on Machine 3 duration 113 mins.
Operation 3 on Machine 2 duration 78 mins.
| null |
Optimize schedule for 9 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 29 mins.
Job 8 Operation 0 duration 101 mins.
Job 0 Operation 1 duration 104 mins.
Job 3 Operation 1 duration 14 mins.
Job 4 Operation 1 duration 120 mins.
Job 2 Operation 2 duration 117 mins.
Job 5 Operation 3 duration 45 mins.
Job 6 Operation 3 duration 27 mins.
Job 7 Operation 3 duration 42 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 26 mins.
Job 5 Operation 0 duration 116 mins.
Job 2 Operation 1 duration 39 mins.
Job 8 Operation 1 duration 34 mins.
Job 3 Operation 2 duration 64 mins.
Job 6 Operation 2 duration 44 mins.
Job 7 Operation 2 duration 19 mins.
Job 0 Operation 3 duration 58 mins.
Job 1 Operation 3 duration 81 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 83 mins.
Job 2 Operation 0 duration 72 mins.
Job 1 Operation 1 duration 19 mins.
Job 5 Operation 1 duration 88 mins.
Job 6 Operation 1 duration 103 mins.
Job 7 Operation 1 duration 4 mins.
Job 3 Operation 3 duration 13 mins.
Job 4 Operation 3 duration 53 mins.
Job 8 Operation 3 duration 78 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 0 duration 113 mins.
Job 6 Operation 0 duration 75 mins.
Job 7 Operation 0 duration 62 mins.
Job 0 Operation 2 duration 19 mins.
Job 1 Operation 2 duration 41 mins.
Job 4 Operation 2 duration 99 mins.
Job 5 Operation 2 duration 20 mins.
Job 8 Operation 2 duration 113 mins.
Job 2 Operation 3 duration 88 mins.
| null |
Solution:
Job 1 Operation 0 on Machine 0 : 0 + 29 -> 29
Job 4 Operation 0 on Machine 1 : 0 + 26 -> 26
Job 7 Operation 0 on Machine 3 : 0 + 62 -> 62
Job 4 Operation 1 on Machine 0 : 29 + 120 -> 149
Job 1 Operation 1 on Machine 2 : 29 + 19 -> 48
Job 7 Operation 1 on Machine 2 : 62 + 4 -> 66
Job 1 Operation 2 on Machine 3 : 62 + 41 -> 103
Job 7 Operation 2 on Machine 1 : 66 + 19 -> 85
Job 2 Operation 0 on Machine 2 : 66 + 72 -> 138
Job 1 Operation 3 on Machine 1 : 103 + 81 -> 184
Job 6 Operation 0 on Machine 3 : 103 + 75 -> 178
Job 0 Operation 0 on Machine 2 : 138 + 83 -> 221
Job 8 Operation 0 on Machine 0 : 149 + 101 -> 250
Job 4 Operation 2 on Machine 3 : 178 + 99 -> 277
Job 2 Operation 1 on Machine 1 : 184 + 39 -> 223
Job 0 Operation 1 on Machine 0 : 250 + 104 -> 354
Job 8 Operation 1 on Machine 1 : 250 + 34 -> 284
Job 4 Operation 3 on Machine 2 : 277 + 53 -> 330
Job 3 Operation 0 on Machine 3 : 277 + 113 -> 390
Job 5 Operation 0 on Machine 1 : 284 + 116 -> 400
Job 6 Operation 1 on Machine 2 : 330 + 103 -> 433
Job 2 Operation 2 on Machine 0 : 354 + 117 -> 471
Job 0 Operation 2 on Machine 3 : 390 + 19 -> 409
Job 8 Operation 2 on Machine 3 : 409 + 113 -> 522
Job 6 Operation 2 on Machine 1 : 433 + 44 -> 477
Job 5 Operation 1 on Machine 2 : 433 + 88 -> 521
Job 6 Operation 3 on Machine 0 : 477 + 27 -> 504
Job 0 Operation 3 on Machine 1 : 477 + 58 -> 535
Job 3 Operation 1 on Machine 0 : 504 + 14 -> 518
Job 8 Operation 3 on Machine 2 : 522 + 78 -> 600
Job 5 Operation 2 on Machine 3 : 522 + 20 -> 542
Job 3 Operation 2 on Machine 1 : 535 + 64 -> 599
Job 5 Operation 3 on Machine 0 : 542 + 45 -> 587
Job 2 Operation 3 on Machine 3 : 542 + 88 -> 630
Job 7 Operation 3 on Machine 0 : 587 + 42 -> 629
Job 3 Operation 3 on Machine 2 : 600 + 13 -> 613
Makespan: 630.0, as it is the maximum end completion time of Operation 3
| null |
|
6 | 6 |
Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 155 mins.
Operation 1 on Machine 5 duration 159 mins.
Operation 2 on Machine 2 duration 159 mins.
Operation 3 on Machine 0 duration 296 mins.
Operation 4 on Machine 3 duration 21 mins.
Operation 5 on Machine 4 duration 254 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 293 mins.
Operation 1 on Machine 4 duration 280 mins.
Operation 2 on Machine 0 duration 295 mins.
Operation 3 on Machine 5 duration 210 mins.
Operation 4 on Machine 1 duration 1 mins.
Operation 5 on Machine 3 duration 92 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 91 mins.
Operation 1 on Machine 0 duration 223 mins.
Operation 2 on Machine 4 duration 183 mins.
Operation 3 on Machine 5 duration 266 mins.
Operation 4 on Machine 3 duration 77 mins.
Operation 5 on Machine 2 duration 156 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 126 mins.
Operation 1 on Machine 0 duration 63 mins.
Operation 2 on Machine 3 duration 281 mins.
Operation 3 on Machine 5 duration 228 mins.
Operation 4 on Machine 2 duration 14 mins.
Operation 5 on Machine 1 duration 38 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 193 mins.
Operation 1 on Machine 0 duration 259 mins.
Operation 2 on Machine 4 duration 257 mins.
Operation 3 on Machine 5 duration 218 mins.
Operation 4 on Machine 1 duration 139 mins.
Operation 5 on Machine 3 duration 192 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 1 duration 145 mins.
Operation 1 on Machine 4 duration 15 mins.
Operation 2 on Machine 0 duration 257 mins.
Operation 3 on Machine 5 duration 199 mins.
Operation 4 on Machine 3 duration 144 mins.
Operation 5 on Machine 2 duration 288 mins.
| null |
Optimize schedule for 6 Jobs across 6 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 1 duration 223 mins.
Job 3 Operation 1 duration 63 mins.
Job 4 Operation 1 duration 259 mins.
Job 1 Operation 2 duration 295 mins.
Job 5 Operation 2 duration 257 mins.
Job 0 Operation 3 duration 296 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 155 mins.
Job 2 Operation 0 duration 91 mins.
Job 5 Operation 0 duration 145 mins.
Job 1 Operation 4 duration 1 mins.
Job 4 Operation 4 duration 139 mins.
Job 3 Operation 5 duration 38 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 293 mins.
Job 4 Operation 0 duration 193 mins.
Job 0 Operation 2 duration 159 mins.
Job 3 Operation 4 duration 14 mins.
Job 2 Operation 5 duration 156 mins.
Job 5 Operation 5 duration 288 mins.
Machine 3 is used for the following Operations:
Job 3 Operation 2 duration 281 mins.
Job 0 Operation 4 duration 21 mins.
Job 2 Operation 4 duration 77 mins.
Job 5 Operation 4 duration 144 mins.
Job 1 Operation 5 duration 92 mins.
Job 4 Operation 5 duration 192 mins.
Machine 4 is used for the following Operations:
Job 3 Operation 0 duration 126 mins.
Job 1 Operation 1 duration 280 mins.
Job 5 Operation 1 duration 15 mins.
Job 2 Operation 2 duration 183 mins.
Job 4 Operation 2 duration 257 mins.
Job 0 Operation 5 duration 254 mins.
Machine 5 is used for the following Operations:
Job 0 Operation 1 duration 159 mins.
Job 1 Operation 3 duration 210 mins.
Job 2 Operation 3 duration 266 mins.
Job 3 Operation 3 duration 228 mins.
Job 4 Operation 3 duration 218 mins.
Job 5 Operation 3 duration 199 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 1 : 0 + 91 -> 91
Job 4 Operation 0 on Machine 2 : 0 + 193 -> 193
Job 3 Operation 0 on Machine 4 : 0 + 126 -> 126
Job 2 Operation 1 on Machine 0 : 91 + 223 -> 314
Job 0 Operation 0 on Machine 1 : 91 + 155 -> 246
Job 5 Operation 0 on Machine 1 : 246 + 145 -> 391
Job 0 Operation 1 on Machine 5 : 246 + 159 -> 405
Job 4 Operation 1 on Machine 0 : 314 + 259 -> 573
Job 2 Operation 2 on Machine 4 : 314 + 183 -> 497
Job 0 Operation 2 on Machine 2 : 405 + 159 -> 564
Job 5 Operation 1 on Machine 4 : 497 + 15 -> 512
Job 2 Operation 3 on Machine 5 : 497 + 266 -> 763
Job 1 Operation 0 on Machine 2 : 564 + 293 -> 857
Job 3 Operation 1 on Machine 0 : 573 + 63 -> 636
Job 4 Operation 2 on Machine 4 : 573 + 257 -> 830
Job 5 Operation 2 on Machine 0 : 636 + 257 -> 893
Job 2 Operation 4 on Machine 3 : 763 + 77 -> 840
Job 4 Operation 3 on Machine 5 : 830 + 218 -> 1048
Job 3 Operation 2 on Machine 3 : 840 + 281 -> 1121
Job 2 Operation 5 on Machine 2 : 857 + 156 -> 1013
Job 1 Operation 1 on Machine 4 : 857 + 280 -> 1137
Job 0 Operation 3 on Machine 0 : 893 + 296 -> 1189
Job 4 Operation 4 on Machine 1 : 1048 + 139 -> 1187
Job 5 Operation 3 on Machine 5 : 1048 + 199 -> 1247
Job 1 Operation 2 on Machine 0 : 1189 + 295 -> 1484
Job 0 Operation 4 on Machine 3 : 1189 + 21 -> 1210
Job 0 Operation 5 on Machine 4 : 1210 + 254 -> 1464
Job 5 Operation 4 on Machine 3 : 1247 + 144 -> 1391
Job 3 Operation 3 on Machine 5 : 1247 + 228 -> 1475
Job 4 Operation 5 on Machine 3 : 1391 + 192 -> 1583
Job 3 Operation 4 on Machine 2 : 1475 + 14 -> 1489
Job 1 Operation 3 on Machine 5 : 1484 + 210 -> 1694
Job 3 Operation 5 on Machine 1 : 1489 + 38 -> 1527
Job 5 Operation 5 on Machine 2 : 1489 + 288 -> 1777
Job 1 Operation 4 on Machine 1 : 1694 + 1 -> 1695
Job 1 Operation 5 on Machine 3 : 1695 + 92 -> 1787
Makespan: 1787.0, as it is the maximum end completion time of Operation 5
| null |
|
10 | 7 |
Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 3 duration 183 mins.
Operation 1 on Machine 2 duration 387 mins.
Operation 2 on Machine 0 duration 382 mins.
Operation 3 on Machine 5 duration 10 mins.
Operation 4 on Machine 1 duration 92 mins.
Operation 5 on Machine 4 duration 302 mins.
Operation 6 on Machine 6 duration 299 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 6 duration 264 mins.
Operation 1 on Machine 1 duration 332 mins.
Operation 2 on Machine 3 duration 250 mins.
Operation 3 on Machine 4 duration 191 mins.
Operation 4 on Machine 2 duration 137 mins.
Operation 5 on Machine 5 duration 296 mins.
Operation 6 on Machine 0 duration 40 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 160 mins.
Operation 1 on Machine 1 duration 364 mins.
Operation 2 on Machine 6 duration 353 mins.
Operation 3 on Machine 5 duration 354 mins.
Operation 4 on Machine 4 duration 66 mins.
Operation 5 on Machine 3 duration 288 mins.
Operation 6 on Machine 0 duration 14 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 159 mins.
Operation 1 on Machine 3 duration 220 mins.
Operation 2 on Machine 5 duration 346 mins.
Operation 3 on Machine 2 duration 162 mins.
Operation 4 on Machine 1 duration 293 mins.
Operation 5 on Machine 6 duration 296 mins.
Operation 6 on Machine 4 duration 349 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 4 duration 221 mins.
Operation 1 on Machine 0 duration 311 mins.
Operation 2 on Machine 3 duration 252 mins.
Operation 3 on Machine 2 duration 115 mins.
Operation 4 on Machine 6 duration 58 mins.
Operation 5 on Machine 5 duration 51 mins.
Operation 6 on Machine 1 duration 51 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 6 duration 205 mins.
Operation 1 on Machine 4 duration 43 mins.
Operation 2 on Machine 2 duration 320 mins.
Operation 3 on Machine 1 duration 319 mins.
Operation 4 on Machine 0 duration 171 mins.
Operation 5 on Machine 3 duration 377 mins.
Operation 6 on Machine 5 duration 268 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 5 duration 153 mins.
Operation 1 on Machine 4 duration 308 mins.
Operation 2 on Machine 2 duration 69 mins.
Operation 3 on Machine 6 duration 365 mins.
Operation 4 on Machine 0 duration 299 mins.
Operation 5 on Machine 1 duration 3 mins.
Operation 6 on Machine 3 duration 185 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 1 duration 200 mins.
Operation 1 on Machine 5 duration 226 mins.
Operation 2 on Machine 0 duration 229 mins.
Operation 3 on Machine 3 duration 22 mins.
Operation 4 on Machine 4 duration 109 mins.
Operation 5 on Machine 2 duration 299 mins.
Operation 6 on Machine 6 duration 78 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 5 duration 5 mins.
Operation 1 on Machine 4 duration 65 mins.
Operation 2 on Machine 1 duration 68 mins.
Operation 3 on Machine 0 duration 163 mins.
Operation 4 on Machine 2 duration 99 mins.
Operation 5 on Machine 6 duration 225 mins.
Operation 6 on Machine 3 duration 277 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 2 duration 149 mins.
Operation 1 on Machine 6 duration 72 mins.
Operation 2 on Machine 5 duration 201 mins.
Operation 3 on Machine 4 duration 283 mins.
Operation 4 on Machine 3 duration 66 mins.
Operation 5 on Machine 0 duration 231 mins.
Operation 6 on Machine 1 duration 20 mins.
| null |
Optimize schedule for 10 Jobs across 7 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 159 mins.
Job 4 Operation 1 duration 311 mins.
Job 0 Operation 2 duration 382 mins.
Job 7 Operation 2 duration 229 mins.
Job 8 Operation 3 duration 163 mins.
Job 5 Operation 4 duration 171 mins.
Job 6 Operation 4 duration 299 mins.
Job 9 Operation 5 duration 231 mins.
Job 1 Operation 6 duration 40 mins.
Job 2 Operation 6 duration 14 mins.
Machine 1 is used for the following Operations:
Job 7 Operation 0 duration 200 mins.
Job 1 Operation 1 duration 332 mins.
Job 2 Operation 1 duration 364 mins.
Job 8 Operation 2 duration 68 mins.
Job 5 Operation 3 duration 319 mins.
Job 0 Operation 4 duration 92 mins.
Job 3 Operation 4 duration 293 mins.
Job 6 Operation 5 duration 3 mins.
Job 4 Operation 6 duration 51 mins.
Job 9 Operation 6 duration 20 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 160 mins.
Job 9 Operation 0 duration 149 mins.
Job 0 Operation 1 duration 387 mins.
Job 5 Operation 2 duration 320 mins.
Job 6 Operation 2 duration 69 mins.
Job 3 Operation 3 duration 162 mins.
Job 4 Operation 3 duration 115 mins.
Job 1 Operation 4 duration 137 mins.
Job 8 Operation 4 duration 99 mins.
Job 7 Operation 5 duration 299 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 183 mins.
Job 3 Operation 1 duration 220 mins.
Job 1 Operation 2 duration 250 mins.
Job 4 Operation 2 duration 252 mins.
Job 7 Operation 3 duration 22 mins.
Job 9 Operation 4 duration 66 mins.
Job 2 Operation 5 duration 288 mins.
Job 5 Operation 5 duration 377 mins.
Job 6 Operation 6 duration 185 mins.
Job 8 Operation 6 duration 277 mins.
Machine 4 is used for the following Operations:
Job 4 Operation 0 duration 221 mins.
Job 5 Operation 1 duration 43 mins.
Job 6 Operation 1 duration 308 mins.
Job 8 Operation 1 duration 65 mins.
Job 1 Operation 3 duration 191 mins.
Job 9 Operation 3 duration 283 mins.
Job 2 Operation 4 duration 66 mins.
Job 7 Operation 4 duration 109 mins.
Job 0 Operation 5 duration 302 mins.
Job 3 Operation 6 duration 349 mins.
Machine 5 is used for the following Operations:
Job 6 Operation 0 duration 153 mins.
Job 8 Operation 0 duration 5 mins.
Job 7 Operation 1 duration 226 mins.
Job 3 Operation 2 duration 346 mins.
Job 9 Operation 2 duration 201 mins.
Job 0 Operation 3 duration 10 mins.
Job 2 Operation 3 duration 354 mins.
Job 1 Operation 5 duration 296 mins.
Job 4 Operation 5 duration 51 mins.
Job 5 Operation 6 duration 268 mins.
Machine 6 is used for the following Operations:
Job 1 Operation 0 duration 264 mins.
Job 5 Operation 0 duration 205 mins.
Job 9 Operation 1 duration 72 mins.
Job 2 Operation 2 duration 353 mins.
Job 6 Operation 3 duration 365 mins.
Job 4 Operation 4 duration 58 mins.
Job 3 Operation 5 duration 296 mins.
Job 8 Operation 5 duration 225 mins.
Job 0 Operation 6 duration 299 mins.
Job 7 Operation 6 duration 78 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 159 -> 159
Job 7 Operation 0 on Machine 1 : 0 + 200 -> 200
Job 2 Operation 0 on Machine 2 : 0 + 160 -> 160
Job 0 Operation 0 on Machine 3 : 0 + 183 -> 183
Job 4 Operation 0 on Machine 4 : 0 + 221 -> 221
Job 8 Operation 0 on Machine 5 : 0 + 5 -> 5
Job 1 Operation 0 on Machine 6 : 0 + 264 -> 264
Job 6 Operation 0 on Machine 5 : 5 + 153 -> 158
Job 0 Operation 1 on Machine 2 : 183 + 387 -> 570
Job 3 Operation 1 on Machine 3 : 183 + 220 -> 403
Job 2 Operation 1 on Machine 1 : 200 + 364 -> 564
Job 7 Operation 1 on Machine 5 : 200 + 226 -> 426
Job 4 Operation 1 on Machine 0 : 221 + 311 -> 532
Job 8 Operation 1 on Machine 4 : 221 + 65 -> 286
Job 5 Operation 0 on Machine 6 : 264 + 205 -> 469
Job 3 Operation 2 on Machine 5 : 426 + 346 -> 772
Job 5 Operation 1 on Machine 4 : 469 + 43 -> 512
Job 6 Operation 1 on Machine 4 : 512 + 308 -> 820
Job 7 Operation 2 on Machine 0 : 532 + 229 -> 761
Job 4 Operation 2 on Machine 3 : 532 + 252 -> 784
Job 8 Operation 2 on Machine 1 : 564 + 68 -> 632
Job 2 Operation 2 on Machine 6 : 564 + 353 -> 917
Job 5 Operation 2 on Machine 2 : 570 + 320 -> 890
Job 1 Operation 1 on Machine 1 : 632 + 332 -> 964
Job 8 Operation 3 on Machine 0 : 761 + 163 -> 924
Job 7 Operation 3 on Machine 3 : 784 + 22 -> 806
Job 7 Operation 4 on Machine 4 : 820 + 109 -> 929
Job 2 Operation 3 on Machine 5 : 917 + 354 -> 1271
Job 0 Operation 2 on Machine 0 : 924 + 382 -> 1306
Job 8 Operation 4 on Machine 2 : 924 + 99 -> 1023
Job 5 Operation 3 on Machine 1 : 964 + 319 -> 1283
Job 1 Operation 2 on Machine 3 : 964 + 250 -> 1214
Job 6 Operation 2 on Machine 2 : 1023 + 69 -> 1092
Job 8 Operation 5 on Machine 6 : 1023 + 225 -> 1248
Job 9 Operation 0 on Machine 2 : 1092 + 149 -> 1241
Job 1 Operation 3 on Machine 4 : 1214 + 191 -> 1405
Job 3 Operation 3 on Machine 2 : 1241 + 162 -> 1403
Job 8 Operation 6 on Machine 3 : 1248 + 277 -> 1525
Job 9 Operation 1 on Machine 6 : 1248 + 72 -> 1320
Job 5 Operation 4 on Machine 0 : 1306 + 171 -> 1477
Job 0 Operation 3 on Machine 5 : 1306 + 10 -> 1316
Job 0 Operation 4 on Machine 1 : 1316 + 92 -> 1408
Job 9 Operation 2 on Machine 5 : 1320 + 201 -> 1521
Job 6 Operation 3 on Machine 6 : 1320 + 365 -> 1685
Job 7 Operation 5 on Machine 2 : 1403 + 299 -> 1702
Job 2 Operation 4 on Machine 4 : 1405 + 66 -> 1471
Job 3 Operation 4 on Machine 1 : 1408 + 293 -> 1701
Job 9 Operation 3 on Machine 4 : 1521 + 283 -> 1804
Job 5 Operation 5 on Machine 3 : 1525 + 377 -> 1902
Job 6 Operation 4 on Machine 0 : 1685 + 299 -> 1984
Job 3 Operation 5 on Machine 6 : 1701 + 296 -> 1997
Job 1 Operation 4 on Machine 2 : 1702 + 137 -> 1839
Job 0 Operation 5 on Machine 4 : 1804 + 302 -> 2106
Job 4 Operation 3 on Machine 2 : 1839 + 115 -> 1954
Job 1 Operation 5 on Machine 5 : 1839 + 296 -> 2135
Job 9 Operation 4 on Machine 3 : 1902 + 66 -> 1968
Job 2 Operation 5 on Machine 3 : 1968 + 288 -> 2256
Job 9 Operation 5 on Machine 0 : 1984 + 231 -> 2215
Job 6 Operation 5 on Machine 1 : 1984 + 3 -> 1987
Job 4 Operation 4 on Machine 6 : 1997 + 58 -> 2055
Job 7 Operation 6 on Machine 6 : 2055 + 78 -> 2133
Job 3 Operation 6 on Machine 4 : 2106 + 349 -> 2455
Job 0 Operation 6 on Machine 6 : 2133 + 299 -> 2432
Job 4 Operation 5 on Machine 5 : 2135 + 51 -> 2186
Job 5 Operation 6 on Machine 5 : 2186 + 268 -> 2454
Job 1 Operation 6 on Machine 0 : 2215 + 40 -> 2255
Job 9 Operation 6 on Machine 1 : 2215 + 20 -> 2235
Job 4 Operation 6 on Machine 1 : 2235 + 51 -> 2286
Job 2 Operation 6 on Machine 0 : 2256 + 14 -> 2270
Job 6 Operation 6 on Machine 3 : 2256 + 185 -> 2441
Makespan: 2455.0, as it is the maximum end completion time of Operation 6
| null |
|
7 | 4 |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 64 mins.
Operation 1 on Machine 3 duration 51 mins.
Operation 2 on Machine 2 duration 110 mins.
Operation 3 on Machine 0 duration 18 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 131 mins.
Operation 1 on Machine 1 duration 171 mins.
Operation 2 on Machine 3 duration 118 mins.
Operation 3 on Machine 0 duration 236 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 155 mins.
Operation 1 on Machine 1 duration 30 mins.
Operation 2 on Machine 0 duration 144 mins.
Operation 3 on Machine 2 duration 205 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 220 mins.
Operation 1 on Machine 0 duration 206 mins.
Operation 2 on Machine 2 duration 71 mins.
Operation 3 on Machine 3 duration 19 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 32 mins.
Operation 1 on Machine 2 duration 20 mins.
Operation 2 on Machine 1 duration 110 mins.
Operation 3 on Machine 3 duration 218 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 200 mins.
Operation 1 on Machine 1 duration 45 mins.
Operation 2 on Machine 2 duration 36 mins.
Operation 3 on Machine 3 duration 71 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 1 duration 91 mins.
Operation 1 on Machine 2 duration 31 mins.
Operation 2 on Machine 3 duration 178 mins.
Operation 3 on Machine 0 duration 238 mins.
| null |
Optimize schedule for 7 Jobs across 4 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 4 Operation 0 duration 32 mins.
Job 5 Operation 0 duration 200 mins.
Job 3 Operation 1 duration 206 mins.
Job 2 Operation 2 duration 144 mins.
Job 0 Operation 3 duration 18 mins.
Job 1 Operation 3 duration 236 mins.
Job 6 Operation 3 duration 238 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 64 mins.
Job 3 Operation 0 duration 220 mins.
Job 6 Operation 0 duration 91 mins.
Job 1 Operation 1 duration 171 mins.
Job 2 Operation 1 duration 30 mins.
Job 5 Operation 1 duration 45 mins.
Job 4 Operation 2 duration 110 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 131 mins.
Job 4 Operation 1 duration 20 mins.
Job 6 Operation 1 duration 31 mins.
Job 0 Operation 2 duration 110 mins.
Job 3 Operation 2 duration 71 mins.
Job 5 Operation 2 duration 36 mins.
Job 2 Operation 3 duration 205 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 155 mins.
Job 0 Operation 1 duration 51 mins.
Job 1 Operation 2 duration 118 mins.
Job 6 Operation 2 duration 178 mins.
Job 3 Operation 3 duration 19 mins.
Job 4 Operation 3 duration 218 mins.
Job 5 Operation 3 duration 71 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 32 -> 32
Job 0 Operation 0 on Machine 1 : 0 + 64 -> 64
Job 2 Operation 0 on Machine 3 : 0 + 155 -> 155
Job 5 Operation 0 on Machine 0 : 32 + 200 -> 232
Job 4 Operation 1 on Machine 2 : 32 + 20 -> 52
Job 1 Operation 0 on Machine 2 : 52 + 131 -> 183
Job 6 Operation 0 on Machine 1 : 64 + 91 -> 155
Job 2 Operation 1 on Machine 1 : 155 + 30 -> 185
Job 0 Operation 1 on Machine 3 : 155 + 51 -> 206
Job 6 Operation 1 on Machine 2 : 183 + 31 -> 214
Job 1 Operation 1 on Machine 1 : 185 + 171 -> 356
Job 0 Operation 2 on Machine 2 : 214 + 110 -> 324
Job 6 Operation 2 on Machine 3 : 214 + 178 -> 392
Job 2 Operation 2 on Machine 0 : 232 + 144 -> 376
Job 5 Operation 1 on Machine 1 : 356 + 45 -> 401
Job 0 Operation 3 on Machine 0 : 376 + 18 -> 394
Job 1 Operation 2 on Machine 3 : 392 + 118 -> 510
Job 6 Operation 3 on Machine 0 : 394 + 238 -> 632
Job 3 Operation 0 on Machine 1 : 401 + 220 -> 621
Job 5 Operation 2 on Machine 2 : 401 + 36 -> 437
Job 2 Operation 3 on Machine 2 : 437 + 205 -> 642
Job 5 Operation 3 on Machine 3 : 510 + 71 -> 581
Job 4 Operation 2 on Machine 1 : 621 + 110 -> 731
Job 3 Operation 1 on Machine 0 : 632 + 206 -> 838
Job 4 Operation 3 on Machine 3 : 731 + 218 -> 949
Job 1 Operation 3 on Machine 0 : 838 + 236 -> 1074
Job 3 Operation 2 on Machine 2 : 838 + 71 -> 909
Job 3 Operation 3 on Machine 3 : 949 + 19 -> 968
Makespan: 1074.0, as it is the maximum end completion time of Operation 3
| null |
|
7 | 3 |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 1 duration 294 mins.
Operation 1 on Machine 0 duration 216 mins.
Operation 2 on Machine 2 duration 404 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 179 mins.
Operation 1 on Machine 2 duration 269 mins.
Operation 2 on Machine 1 duration 61 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 328 mins.
Operation 1 on Machine 0 duration 209 mins.
Operation 2 on Machine 1 duration 271 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 137 mins.
Operation 1 on Machine 0 duration 166 mins.
Operation 2 on Machine 1 duration 92 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 288 mins.
Operation 1 on Machine 2 duration 284 mins.
Operation 2 on Machine 1 duration 30 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 62 mins.
Operation 1 on Machine 2 duration 368 mins.
Operation 2 on Machine 1 duration 281 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 352 mins.
Operation 1 on Machine 1 duration 60 mins.
Operation 2 on Machine 2 duration 17 mins.
| null |
Optimize schedule for 7 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 179 mins.
Job 4 Operation 0 duration 288 mins.
Job 5 Operation 0 duration 62 mins.
Job 6 Operation 0 duration 352 mins.
Job 0 Operation 1 duration 216 mins.
Job 2 Operation 1 duration 209 mins.
Job 3 Operation 1 duration 166 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 294 mins.
Job 6 Operation 1 duration 60 mins.
Job 1 Operation 2 duration 61 mins.
Job 2 Operation 2 duration 271 mins.
Job 3 Operation 2 duration 92 mins.
Job 4 Operation 2 duration 30 mins.
Job 5 Operation 2 duration 281 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 328 mins.
Job 3 Operation 0 duration 137 mins.
Job 1 Operation 1 duration 269 mins.
Job 4 Operation 1 duration 284 mins.
Job 5 Operation 1 duration 368 mins.
Job 0 Operation 2 duration 404 mins.
Job 6 Operation 2 duration 17 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 62 -> 62
Job 0 Operation 0 on Machine 1 : 0 + 294 -> 294
Job 2 Operation 0 on Machine 2 : 0 + 328 -> 328
Job 1 Operation 0 on Machine 0 : 62 + 179 -> 241
Job 2 Operation 1 on Machine 0 : 328 + 209 -> 537
Job 3 Operation 0 on Machine 2 : 328 + 137 -> 465
Job 1 Operation 1 on Machine 2 : 465 + 269 -> 734
Job 3 Operation 1 on Machine 0 : 537 + 166 -> 703
Job 2 Operation 2 on Machine 1 : 537 + 271 -> 808
Job 4 Operation 0 on Machine 0 : 703 + 288 -> 991
Job 5 Operation 1 on Machine 2 : 734 + 368 -> 1102
Job 1 Operation 2 on Machine 1 : 808 + 61 -> 869
Job 3 Operation 2 on Machine 1 : 869 + 92 -> 961
Job 0 Operation 1 on Machine 0 : 991 + 216 -> 1207
Job 5 Operation 2 on Machine 1 : 1102 + 281 -> 1383
Job 4 Operation 1 on Machine 2 : 1102 + 284 -> 1386
Job 6 Operation 0 on Machine 0 : 1207 + 352 -> 1559
Job 4 Operation 2 on Machine 1 : 1386 + 30 -> 1416
Job 0 Operation 2 on Machine 2 : 1386 + 404 -> 1790
Job 6 Operation 1 on Machine 1 : 1559 + 60 -> 1619
Job 6 Operation 2 on Machine 2 : 1790 + 17 -> 1807
Makespan: 1807.0, as it is the maximum end completion time of Operation 2
| null |
|
5 | 3 |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 242 mins.
Operation 1 on Machine 2 duration 142 mins.
Operation 2 on Machine 1 duration 40 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 2 duration 23 mins.
Operation 1 on Machine 0 duration 234 mins.
Operation 2 on Machine 1 duration 109 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 54 mins.
Operation 1 on Machine 0 duration 16 mins.
Operation 2 on Machine 1 duration 232 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 130 mins.
Operation 1 on Machine 0 duration 34 mins.
Operation 2 on Machine 2 duration 283 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 115 mins.
Operation 1 on Machine 2 duration 213 mins.
Operation 2 on Machine 1 duration 111 mins.
| null |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 242 mins.
Job 4 Operation 0 duration 115 mins.
Job 1 Operation 1 duration 234 mins.
Job 2 Operation 1 duration 16 mins.
Job 3 Operation 1 duration 34 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 130 mins.
Job 0 Operation 2 duration 40 mins.
Job 1 Operation 2 duration 109 mins.
Job 2 Operation 2 duration 232 mins.
Job 4 Operation 2 duration 111 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 0 duration 23 mins.
Job 2 Operation 0 duration 54 mins.
Job 0 Operation 1 duration 142 mins.
Job 4 Operation 1 duration 213 mins.
Job 3 Operation 2 duration 283 mins.
| null |
Solution:
Job 4 Operation 0 on Machine 0 : 0 + 115 -> 115
Job 3 Operation 0 on Machine 1 : 0 + 130 -> 130
Job 1 Operation 0 on Machine 2 : 0 + 23 -> 23
Job 2 Operation 0 on Machine 2 : 23 + 54 -> 77
Job 2 Operation 1 on Machine 0 : 115 + 16 -> 131
Job 4 Operation 1 on Machine 2 : 115 + 213 -> 328
Job 3 Operation 1 on Machine 0 : 131 + 34 -> 165
Job 2 Operation 2 on Machine 1 : 131 + 232 -> 363
Job 0 Operation 0 on Machine 0 : 165 + 242 -> 407
Job 3 Operation 2 on Machine 2 : 328 + 283 -> 611
Job 4 Operation 2 on Machine 1 : 363 + 111 -> 474
Job 1 Operation 1 on Machine 0 : 407 + 234 -> 641
Job 0 Operation 1 on Machine 2 : 611 + 142 -> 753
Job 1 Operation 2 on Machine 1 : 641 + 109 -> 750
Job 0 Operation 2 on Machine 1 : 753 + 40 -> 793
Makespan: 793.0, as it is the maximum end completion time of Operation 2
| null |
|
6 | 3 |
Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 137 mins.
Operation 1 on Machine 1 duration 112 mins.
Operation 2 on Machine 2 duration 45 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 175 mins.
Operation 1 on Machine 2 duration 31 mins.
Operation 2 on Machine 1 duration 121 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 2 duration 36 mins.
Operation 1 on Machine 1 duration 108 mins.
Operation 2 on Machine 0 duration 23 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 204 mins.
Operation 1 on Machine 2 duration 46 mins.
Operation 2 on Machine 0 duration 202 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 2 duration 134 mins.
Operation 1 on Machine 0 duration 209 mins.
Operation 2 on Machine 1 duration 176 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 102 mins.
Operation 1 on Machine 1 duration 202 mins.
Operation 2 on Machine 2 duration 115 mins.
| null |
Optimize schedule for 6 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 137 mins.
Job 1 Operation 0 duration 175 mins.
Job 5 Operation 0 duration 102 mins.
Job 4 Operation 1 duration 209 mins.
Job 2 Operation 2 duration 23 mins.
Job 3 Operation 2 duration 202 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 204 mins.
Job 0 Operation 1 duration 112 mins.
Job 2 Operation 1 duration 108 mins.
Job 5 Operation 1 duration 202 mins.
Job 1 Operation 2 duration 121 mins.
Job 4 Operation 2 duration 176 mins.
Machine 2 is used for the following Operations:
Job 2 Operation 0 duration 36 mins.
Job 4 Operation 0 duration 134 mins.
Job 1 Operation 1 duration 31 mins.
Job 3 Operation 1 duration 46 mins.
Job 0 Operation 2 duration 45 mins.
Job 5 Operation 2 duration 115 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 102 -> 102
Job 3 Operation 0 on Machine 1 : 0 + 204 -> 204
Job 2 Operation 0 on Machine 2 : 0 + 36 -> 36
Job 4 Operation 0 on Machine 2 : 36 + 134 -> 170
Job 1 Operation 0 on Machine 0 : 102 + 175 -> 277
Job 5 Operation 1 on Machine 1 : 204 + 202 -> 406
Job 3 Operation 1 on Machine 2 : 204 + 46 -> 250
Job 0 Operation 0 on Machine 0 : 277 + 137 -> 414
Job 1 Operation 1 on Machine 2 : 277 + 31 -> 308
Job 2 Operation 1 on Machine 1 : 406 + 108 -> 514
Job 5 Operation 2 on Machine 2 : 406 + 115 -> 521
Job 4 Operation 1 on Machine 0 : 414 + 209 -> 623
Job 1 Operation 2 on Machine 1 : 514 + 121 -> 635
Job 3 Operation 2 on Machine 0 : 623 + 202 -> 825
Job 0 Operation 1 on Machine 1 : 635 + 112 -> 747
Job 4 Operation 2 on Machine 1 : 747 + 176 -> 923
Job 0 Operation 2 on Machine 2 : 747 + 45 -> 792
Job 2 Operation 2 on Machine 0 : 825 + 23 -> 848
Makespan: 923.0, as it is the maximum end completion time of Operation 2
| 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 1 duration 100 mins.
Operation 1 on Machine 2 duration 59 mins.
Operation 2 on Machine 0 duration 117 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 1 duration 8 mins.
Operation 1 on Machine 2 duration 79 mins.
Operation 2 on Machine 0 duration 123 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 49 mins.
Operation 1 on Machine 2 duration 86 mins.
Operation 2 on Machine 1 duration 111 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 3 mins.
Operation 1 on Machine 0 duration 12 mins.
Operation 2 on Machine 2 duration 14 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 121 mins.
Operation 1 on Machine 2 duration 113 mins.
Operation 2 on Machine 1 duration 112 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 109 mins.
Operation 1 on Machine 2 duration 123 mins.
Operation 2 on Machine 1 duration 120 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 0 duration 24 mins.
Operation 1 on Machine 1 duration 63 mins.
Operation 2 on Machine 2 duration 122 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 66 mins.
Operation 1 on Machine 2 duration 110 mins.
Operation 2 on Machine 1 duration 93 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 1 duration 26 mins.
Operation 1 on Machine 2 duration 44 mins.
Operation 2 on Machine 0 duration 93 mins.
| null |
Optimize schedule for 9 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 2 Operation 0 duration 49 mins.
Job 4 Operation 0 duration 121 mins.
Job 5 Operation 0 duration 109 mins.
Job 6 Operation 0 duration 24 mins.
Job 7 Operation 0 duration 66 mins.
Job 3 Operation 1 duration 12 mins.
Job 0 Operation 2 duration 117 mins.
Job 1 Operation 2 duration 123 mins.
Job 8 Operation 2 duration 93 mins.
Machine 1 is used for the following Operations:
Job 0 Operation 0 duration 100 mins.
Job 1 Operation 0 duration 8 mins.
Job 3 Operation 0 duration 3 mins.
Job 8 Operation 0 duration 26 mins.
Job 6 Operation 1 duration 63 mins.
Job 2 Operation 2 duration 111 mins.
Job 4 Operation 2 duration 112 mins.
Job 5 Operation 2 duration 120 mins.
Job 7 Operation 2 duration 93 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 59 mins.
Job 1 Operation 1 duration 79 mins.
Job 2 Operation 1 duration 86 mins.
Job 4 Operation 1 duration 113 mins.
Job 5 Operation 1 duration 123 mins.
Job 7 Operation 1 duration 110 mins.
Job 8 Operation 1 duration 44 mins.
Job 3 Operation 2 duration 14 mins.
Job 6 Operation 2 duration 122 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 109 -> 109
Job 1 Operation 0 on Machine 1 : 0 + 8 -> 8
Job 8 Operation 0 on Machine 1 : 8 + 26 -> 34
Job 1 Operation 1 on Machine 2 : 8 + 79 -> 87
Job 0 Operation 0 on Machine 1 : 34 + 100 -> 134
Job 8 Operation 1 on Machine 2 : 87 + 44 -> 131
Job 8 Operation 2 on Machine 0 : 131 + 93 -> 224
Job 5 Operation 1 on Machine 2 : 131 + 123 -> 254
Job 3 Operation 0 on Machine 1 : 134 + 3 -> 137
Job 7 Operation 0 on Machine 0 : 224 + 66 -> 290
Job 5 Operation 2 on Machine 1 : 254 + 120 -> 374
Job 0 Operation 1 on Machine 2 : 254 + 59 -> 313
Job 6 Operation 0 on Machine 0 : 290 + 24 -> 314
Job 7 Operation 1 on Machine 2 : 313 + 110 -> 423
Job 2 Operation 0 on Machine 0 : 314 + 49 -> 363
Job 4 Operation 0 on Machine 0 : 363 + 121 -> 484
Job 6 Operation 1 on Machine 1 : 374 + 63 -> 437
Job 2 Operation 1 on Machine 2 : 423 + 86 -> 509
Job 7 Operation 2 on Machine 1 : 437 + 93 -> 530
Job 0 Operation 2 on Machine 0 : 484 + 117 -> 601
Job 4 Operation 1 on Machine 2 : 509 + 113 -> 622
Job 2 Operation 2 on Machine 1 : 530 + 111 -> 641
Job 3 Operation 1 on Machine 0 : 601 + 12 -> 613
Job 1 Operation 2 on Machine 0 : 613 + 123 -> 736
Job 6 Operation 2 on Machine 2 : 622 + 122 -> 744
Job 4 Operation 2 on Machine 1 : 641 + 112 -> 753
Job 3 Operation 2 on Machine 2 : 744 + 14 -> 758
Makespan: 758.0, as it is the maximum end completion time of Operation 2
| null |
|
10 | 5 |
Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 97 mins.
Operation 1 on Machine 2 duration 116 mins.
Operation 2 on Machine 3 duration 120 mins.
Operation 3 on Machine 1 duration 152 mins.
Operation 4 on Machine 4 duration 2 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 4 duration 127 mins.
Operation 1 on Machine 2 duration 151 mins.
Operation 2 on Machine 1 duration 119 mins.
Operation 3 on Machine 0 duration 59 mins.
Operation 4 on Machine 3 duration 90 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 98 mins.
Operation 1 on Machine 2 duration 37 mins.
Operation 2 on Machine 1 duration 130 mins.
Operation 3 on Machine 0 duration 71 mins.
Operation 4 on Machine 4 duration 138 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 4 duration 22 mins.
Operation 1 on Machine 2 duration 27 mins.
Operation 2 on Machine 3 duration 147 mins.
Operation 3 on Machine 0 duration 15 mins.
Operation 4 on Machine 1 duration 131 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 0 duration 114 mins.
Operation 1 on Machine 3 duration 67 mins.
Operation 2 on Machine 2 duration 79 mins.
Operation 3 on Machine 4 duration 94 mins.
Operation 4 on Machine 1 duration 18 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 0 duration 3 mins.
Operation 1 on Machine 4 duration 153 mins.
Operation 2 on Machine 2 duration 64 mins.
Operation 3 on Machine 3 duration 102 mins.
Operation 4 on Machine 1 duration 124 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 156 mins.
Operation 1 on Machine 0 duration 19 mins.
Operation 2 on Machine 2 duration 41 mins.
Operation 3 on Machine 1 duration 34 mins.
Operation 4 on Machine 4 duration 135 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 87 mins.
Operation 1 on Machine 2 duration 20 mins.
Operation 2 on Machine 3 duration 103 mins.
Operation 3 on Machine 4 duration 14 mins.
Operation 4 on Machine 1 duration 61 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 3 duration 141 mins.
Operation 1 on Machine 4 duration 53 mins.
Operation 2 on Machine 1 duration 157 mins.
Operation 3 on Machine 0 duration 69 mins.
Operation 4 on Machine 2 duration 41 mins.
Job 9 consists of the following Operations:
Operation 0 on Machine 4 duration 3 mins.
Operation 1 on Machine 1 duration 128 mins.
Operation 2 on Machine 2 duration 64 mins.
Operation 3 on Machine 0 duration 17 mins.
Operation 4 on Machine 3 duration 67 mins.
| null |
Optimize schedule for 10 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 97 mins.
Job 4 Operation 0 duration 114 mins.
Job 5 Operation 0 duration 3 mins.
Job 7 Operation 0 duration 87 mins.
Job 6 Operation 1 duration 19 mins.
Job 1 Operation 3 duration 59 mins.
Job 2 Operation 3 duration 71 mins.
Job 3 Operation 3 duration 15 mins.
Job 8 Operation 3 duration 69 mins.
Job 9 Operation 3 duration 17 mins.
Machine 1 is used for the following Operations:
Job 9 Operation 1 duration 128 mins.
Job 1 Operation 2 duration 119 mins.
Job 2 Operation 2 duration 130 mins.
Job 8 Operation 2 duration 157 mins.
Job 0 Operation 3 duration 152 mins.
Job 6 Operation 3 duration 34 mins.
Job 3 Operation 4 duration 131 mins.
Job 4 Operation 4 duration 18 mins.
Job 5 Operation 4 duration 124 mins.
Job 7 Operation 4 duration 61 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 1 duration 116 mins.
Job 1 Operation 1 duration 151 mins.
Job 2 Operation 1 duration 37 mins.
Job 3 Operation 1 duration 27 mins.
Job 7 Operation 1 duration 20 mins.
Job 4 Operation 2 duration 79 mins.
Job 5 Operation 2 duration 64 mins.
Job 6 Operation 2 duration 41 mins.
Job 9 Operation 2 duration 64 mins.
Job 8 Operation 4 duration 41 mins.
Machine 3 is used for the following Operations:
Job 2 Operation 0 duration 98 mins.
Job 6 Operation 0 duration 156 mins.
Job 8 Operation 0 duration 141 mins.
Job 4 Operation 1 duration 67 mins.
Job 0 Operation 2 duration 120 mins.
Job 3 Operation 2 duration 147 mins.
Job 7 Operation 2 duration 103 mins.
Job 5 Operation 3 duration 102 mins.
Job 1 Operation 4 duration 90 mins.
Job 9 Operation 4 duration 67 mins.
Machine 4 is used for the following Operations:
Job 1 Operation 0 duration 127 mins.
Job 3 Operation 0 duration 22 mins.
Job 9 Operation 0 duration 3 mins.
Job 5 Operation 1 duration 153 mins.
Job 8 Operation 1 duration 53 mins.
Job 4 Operation 3 duration 94 mins.
Job 7 Operation 3 duration 14 mins.
Job 0 Operation 4 duration 2 mins.
Job 2 Operation 4 duration 138 mins.
Job 6 Operation 4 duration 135 mins.
| null |
Solution:
Job 5 Operation 0 on Machine 0 : 0 + 3 -> 3
Job 2 Operation 0 on Machine 3 : 0 + 98 -> 98
Job 3 Operation 0 on Machine 4 : 0 + 22 -> 22
Job 7 Operation 0 on Machine 0 : 3 + 87 -> 90
Job 3 Operation 1 on Machine 2 : 22 + 27 -> 49
Job 9 Operation 0 on Machine 4 : 22 + 3 -> 25
Job 9 Operation 1 on Machine 1 : 25 + 128 -> 153
Job 5 Operation 1 on Machine 4 : 25 + 153 -> 178
Job 0 Operation 0 on Machine 0 : 90 + 97 -> 187
Job 7 Operation 1 on Machine 2 : 90 + 20 -> 110
Job 8 Operation 0 on Machine 3 : 98 + 141 -> 239
Job 2 Operation 1 on Machine 2 : 110 + 37 -> 147
Job 2 Operation 2 on Machine 1 : 153 + 130 -> 283
Job 5 Operation 2 on Machine 2 : 178 + 64 -> 242
Job 4 Operation 0 on Machine 0 : 187 + 114 -> 301
Job 3 Operation 2 on Machine 3 : 239 + 147 -> 386
Job 8 Operation 1 on Machine 4 : 239 + 53 -> 292
Job 0 Operation 1 on Machine 2 : 242 + 116 -> 358
Job 8 Operation 2 on Machine 1 : 292 + 157 -> 449
Job 1 Operation 0 on Machine 4 : 292 + 127 -> 419
Job 2 Operation 3 on Machine 0 : 301 + 71 -> 372
Job 3 Operation 3 on Machine 0 : 386 + 15 -> 401
Job 5 Operation 3 on Machine 3 : 386 + 102 -> 488
Job 1 Operation 1 on Machine 2 : 419 + 151 -> 570
Job 8 Operation 3 on Machine 0 : 449 + 69 -> 518
Job 3 Operation 4 on Machine 1 : 449 + 131 -> 580
Job 4 Operation 1 on Machine 3 : 488 + 67 -> 555
Job 7 Operation 2 on Machine 3 : 555 + 103 -> 658
Job 9 Operation 2 on Machine 2 : 570 + 64 -> 634
Job 5 Operation 4 on Machine 1 : 580 + 124 -> 704
Job 9 Operation 3 on Machine 0 : 634 + 17 -> 651
Job 8 Operation 4 on Machine 2 : 634 + 41 -> 675
Job 6 Operation 0 on Machine 3 : 658 + 156 -> 814
Job 7 Operation 3 on Machine 4 : 658 + 14 -> 672
Job 2 Operation 4 on Machine 4 : 672 + 138 -> 810
Job 4 Operation 2 on Machine 2 : 675 + 79 -> 754
Job 1 Operation 2 on Machine 1 : 704 + 119 -> 823
Job 4 Operation 3 on Machine 4 : 810 + 94 -> 904
Job 6 Operation 1 on Machine 0 : 814 + 19 -> 833
Job 0 Operation 2 on Machine 3 : 814 + 120 -> 934
Job 7 Operation 4 on Machine 1 : 823 + 61 -> 884
Job 1 Operation 3 on Machine 0 : 833 + 59 -> 892
Job 6 Operation 2 on Machine 2 : 833 + 41 -> 874
Job 6 Operation 3 on Machine 1 : 884 + 34 -> 918
Job 4 Operation 4 on Machine 1 : 918 + 18 -> 936
Job 6 Operation 4 on Machine 4 : 918 + 135 -> 1053
Job 1 Operation 4 on Machine 3 : 934 + 90 -> 1024
Job 0 Operation 3 on Machine 1 : 936 + 152 -> 1088
Job 9 Operation 4 on Machine 3 : 1024 + 67 -> 1091
Job 0 Operation 4 on Machine 4 : 1088 + 2 -> 1090
Makespan: 1091.0, as it is the maximum end completion time of Operation 4
| null |
|
9 | 5 |
Optimize schedule for 9 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 4 duration 71 mins.
Operation 1 on Machine 2 duration 189 mins.
Operation 2 on Machine 0 duration 167 mins.
Operation 3 on Machine 1 duration 339 mins.
Operation 4 on Machine 3 duration 137 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 105 mins.
Operation 1 on Machine 0 duration 247 mins.
Operation 2 on Machine 1 duration 35 mins.
Operation 3 on Machine 2 duration 310 mins.
Operation 4 on Machine 4 duration 192 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 3 duration 355 mins.
Operation 1 on Machine 0 duration 319 mins.
Operation 2 on Machine 4 duration 278 mins.
Operation 3 on Machine 2 duration 76 mins.
Operation 4 on Machine 1 duration 187 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 252 mins.
Operation 1 on Machine 4 duration 285 mins.
Operation 2 on Machine 1 duration 318 mins.
Operation 3 on Machine 3 duration 339 mins.
Operation 4 on Machine 2 duration 149 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 145 mins.
Operation 1 on Machine 3 duration 347 mins.
Operation 2 on Machine 2 duration 101 mins.
Operation 3 on Machine 4 duration 74 mins.
Operation 4 on Machine 0 duration 120 mins.
Job 5 consists of the following Operations:
Operation 0 on Machine 2 duration 69 mins.
Operation 1 on Machine 4 duration 324 mins.
Operation 2 on Machine 3 duration 198 mins.
Operation 3 on Machine 0 duration 302 mins.
Operation 4 on Machine 1 duration 37 mins.
Job 6 consists of the following Operations:
Operation 0 on Machine 3 duration 304 mins.
Operation 1 on Machine 1 duration 220 mins.
Operation 2 on Machine 0 duration 92 mins.
Operation 3 on Machine 2 duration 209 mins.
Operation 4 on Machine 4 duration 18 mins.
Job 7 consists of the following Operations:
Operation 0 on Machine 0 duration 125 mins.
Operation 1 on Machine 4 duration 194 mins.
Operation 2 on Machine 2 duration 102 mins.
Operation 3 on Machine 1 duration 65 mins.
Operation 4 on Machine 3 duration 95 mins.
Job 8 consists of the following Operations:
Operation 0 on Machine 0 duration 268 mins.
Operation 1 on Machine 1 duration 103 mins.
Operation 2 on Machine 3 duration 19 mins.
Operation 3 on Machine 2 duration 313 mins.
Operation 4 on Machine 4 duration 170 mins.
| null |
Optimize schedule for 9 Jobs across 5 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 3 Operation 0 duration 252 mins.
Job 7 Operation 0 duration 125 mins.
Job 8 Operation 0 duration 268 mins.
Job 1 Operation 1 duration 247 mins.
Job 2 Operation 1 duration 319 mins.
Job 0 Operation 2 duration 167 mins.
Job 6 Operation 2 duration 92 mins.
Job 5 Operation 3 duration 302 mins.
Job 4 Operation 4 duration 120 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 145 mins.
Job 6 Operation 1 duration 220 mins.
Job 8 Operation 1 duration 103 mins.
Job 1 Operation 2 duration 35 mins.
Job 3 Operation 2 duration 318 mins.
Job 0 Operation 3 duration 339 mins.
Job 7 Operation 3 duration 65 mins.
Job 2 Operation 4 duration 187 mins.
Job 5 Operation 4 duration 37 mins.
Machine 2 is used for the following Operations:
Job 5 Operation 0 duration 69 mins.
Job 0 Operation 1 duration 189 mins.
Job 4 Operation 2 duration 101 mins.
Job 7 Operation 2 duration 102 mins.
Job 1 Operation 3 duration 310 mins.
Job 2 Operation 3 duration 76 mins.
Job 6 Operation 3 duration 209 mins.
Job 8 Operation 3 duration 313 mins.
Job 3 Operation 4 duration 149 mins.
Machine 3 is used for the following Operations:
Job 1 Operation 0 duration 105 mins.
Job 2 Operation 0 duration 355 mins.
Job 6 Operation 0 duration 304 mins.
Job 4 Operation 1 duration 347 mins.
Job 5 Operation 2 duration 198 mins.
Job 8 Operation 2 duration 19 mins.
Job 3 Operation 3 duration 339 mins.
Job 0 Operation 4 duration 137 mins.
Job 7 Operation 4 duration 95 mins.
Machine 4 is used for the following Operations:
Job 0 Operation 0 duration 71 mins.
Job 3 Operation 1 duration 285 mins.
Job 5 Operation 1 duration 324 mins.
Job 7 Operation 1 duration 194 mins.
Job 2 Operation 2 duration 278 mins.
Job 4 Operation 3 duration 74 mins.
Job 1 Operation 4 duration 192 mins.
Job 6 Operation 4 duration 18 mins.
Job 8 Operation 4 duration 170 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 252 -> 252
Job 4 Operation 0 on Machine 1 : 0 + 145 -> 145
Job 5 Operation 0 on Machine 2 : 0 + 69 -> 69
Job 2 Operation 0 on Machine 3 : 0 + 355 -> 355
Job 0 Operation 0 on Machine 4 : 0 + 71 -> 71
Job 0 Operation 1 on Machine 2 : 71 + 189 -> 260
Job 5 Operation 1 on Machine 4 : 71 + 324 -> 395
Job 8 Operation 0 on Machine 0 : 252 + 268 -> 520
Job 1 Operation 0 on Machine 3 : 355 + 105 -> 460
Job 3 Operation 1 on Machine 4 : 395 + 285 -> 680
Job 5 Operation 2 on Machine 3 : 460 + 198 -> 658
Job 7 Operation 0 on Machine 0 : 520 + 125 -> 645
Job 8 Operation 1 on Machine 1 : 520 + 103 -> 623
Job 1 Operation 1 on Machine 0 : 645 + 247 -> 892
Job 8 Operation 2 on Machine 3 : 658 + 19 -> 677
Job 8 Operation 3 on Machine 2 : 677 + 313 -> 990
Job 6 Operation 0 on Machine 3 : 677 + 304 -> 981
Job 3 Operation 2 on Machine 1 : 680 + 318 -> 998
Job 7 Operation 1 on Machine 4 : 680 + 194 -> 874
Job 2 Operation 1 on Machine 0 : 892 + 319 -> 1211
Job 4 Operation 1 on Machine 3 : 981 + 347 -> 1328
Job 7 Operation 2 on Machine 2 : 990 + 102 -> 1092
Job 8 Operation 4 on Machine 4 : 990 + 170 -> 1160
Job 1 Operation 2 on Machine 1 : 998 + 35 -> 1033
Job 7 Operation 3 on Machine 1 : 1092 + 65 -> 1157
Job 1 Operation 3 on Machine 2 : 1092 + 310 -> 1402
Job 6 Operation 1 on Machine 1 : 1157 + 220 -> 1377
Job 0 Operation 2 on Machine 0 : 1211 + 167 -> 1378
Job 2 Operation 2 on Machine 4 : 1211 + 278 -> 1489
Job 3 Operation 3 on Machine 3 : 1328 + 339 -> 1667
Job 6 Operation 2 on Machine 0 : 1378 + 92 -> 1470
Job 0 Operation 3 on Machine 1 : 1378 + 339 -> 1717
Job 4 Operation 2 on Machine 2 : 1402 + 101 -> 1503
Job 5 Operation 3 on Machine 0 : 1470 + 302 -> 1772
Job 2 Operation 3 on Machine 2 : 1503 + 76 -> 1579
Job 4 Operation 3 on Machine 4 : 1503 + 74 -> 1577
Job 1 Operation 4 on Machine 4 : 1577 + 192 -> 1769
Job 6 Operation 3 on Machine 2 : 1579 + 209 -> 1788
Job 7 Operation 4 on Machine 3 : 1667 + 95 -> 1762
Job 2 Operation 4 on Machine 1 : 1717 + 187 -> 1904
Job 0 Operation 4 on Machine 3 : 1762 + 137 -> 1899
Job 4 Operation 4 on Machine 0 : 1772 + 120 -> 1892
Job 3 Operation 4 on Machine 2 : 1788 + 149 -> 1937
Job 6 Operation 4 on Machine 4 : 1788 + 18 -> 1806
Job 5 Operation 4 on Machine 1 : 1904 + 37 -> 1941
Makespan: 1941.0, as it is the maximum end completion time of Operation 4
| null |
|
5 | 2 |
Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 0 duration 15 mins.
Operation 1 on Machine 1 duration 53 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 31 mins.
Operation 1 on Machine 1 duration 55 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 11 mins.
Operation 1 on Machine 1 duration 4 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 1 duration 17 mins.
Operation 1 on Machine 0 duration 41 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 62 mins.
Operation 1 on Machine 0 duration 51 mins.
| null |
Optimize schedule for 5 Jobs across 2 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 0 Operation 0 duration 15 mins.
Job 1 Operation 0 duration 31 mins.
Job 2 Operation 0 duration 11 mins.
Job 3 Operation 1 duration 41 mins.
Job 4 Operation 1 duration 51 mins.
Machine 1 is used for the following Operations:
Job 3 Operation 0 duration 17 mins.
Job 4 Operation 0 duration 62 mins.
Job 0 Operation 1 duration 53 mins.
Job 1 Operation 1 duration 55 mins.
Job 2 Operation 1 duration 4 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 11 -> 11
Job 3 Operation 0 on Machine 1 : 0 + 17 -> 17
Job 0 Operation 0 on Machine 0 : 11 + 15 -> 26
Job 2 Operation 1 on Machine 1 : 17 + 4 -> 21
Job 4 Operation 0 on Machine 1 : 21 + 62 -> 83
Job 1 Operation 0 on Machine 0 : 26 + 31 -> 57
Job 3 Operation 1 on Machine 0 : 57 + 41 -> 98
Job 0 Operation 1 on Machine 1 : 83 + 53 -> 136
Job 4 Operation 1 on Machine 0 : 98 + 51 -> 149
Job 1 Operation 1 on Machine 1 : 136 + 55 -> 191
Makespan: 191.0, as it is the maximum end completion time of Operation 1
| null |
|
5 | 3 |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Job 0 consists of the following Operations:
Operation 0 on Machine 2 duration 292 mins.
Operation 1 on Machine 1 duration 167 mins.
Operation 2 on Machine 0 duration 402 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 0 duration 226 mins.
Operation 1 on Machine 2 duration 3 mins.
Operation 2 on Machine 1 duration 380 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 0 duration 215 mins.
Operation 1 on Machine 1 duration 142 mins.
Operation 2 on Machine 2 duration 13 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 2 duration 63 mins.
Operation 1 on Machine 0 duration 155 mins.
Operation 2 on Machine 1 duration 275 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 150 mins.
Operation 1 on Machine 0 duration 211 mins.
Operation 2 on Machine 2 duration 392 mins.
| null |
Optimize schedule for 5 Jobs across 3 Machines to minimize makespan. Each job involves a series of Operations needing specific machines and times. Operations are processed in order, without interruption, on a single Machine at a time.
Problem:
Machine 0 is used for the following Operations:
Job 1 Operation 0 duration 226 mins.
Job 2 Operation 0 duration 215 mins.
Job 3 Operation 1 duration 155 mins.
Job 4 Operation 1 duration 211 mins.
Job 0 Operation 2 duration 402 mins.
Machine 1 is used for the following Operations:
Job 4 Operation 0 duration 150 mins.
Job 0 Operation 1 duration 167 mins.
Job 2 Operation 1 duration 142 mins.
Job 1 Operation 2 duration 380 mins.
Job 3 Operation 2 duration 275 mins.
Machine 2 is used for the following Operations:
Job 0 Operation 0 duration 292 mins.
Job 3 Operation 0 duration 63 mins.
Job 1 Operation 1 duration 3 mins.
Job 2 Operation 2 duration 13 mins.
Job 4 Operation 2 duration 392 mins.
| null |
Solution:
Job 2 Operation 0 on Machine 0 : 0 + 215 -> 215
Job 4 Operation 0 on Machine 1 : 0 + 150 -> 150
Job 3 Operation 0 on Machine 2 : 0 + 63 -> 63
Job 0 Operation 0 on Machine 2 : 63 + 292 -> 355
Job 3 Operation 1 on Machine 0 : 215 + 155 -> 370
Job 2 Operation 1 on Machine 1 : 215 + 142 -> 357
Job 0 Operation 1 on Machine 1 : 357 + 167 -> 524
Job 2 Operation 2 on Machine 2 : 357 + 13 -> 370
Job 1 Operation 0 on Machine 0 : 370 + 226 -> 596
Job 3 Operation 2 on Machine 1 : 524 + 275 -> 799
Job 4 Operation 1 on Machine 0 : 596 + 211 -> 807
Job 1 Operation 1 on Machine 2 : 596 + 3 -> 599
Job 1 Operation 2 on Machine 1 : 799 + 380 -> 1179
Job 0 Operation 2 on Machine 0 : 807 + 402 -> 1209
Job 4 Operation 2 on Machine 2 : 807 + 392 -> 1199
Makespan: 1209.0, as it is the maximum end completion time of Operation 2
| 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 3 duration 206 mins.
Operation 1 on Machine 0 duration 197 mins.
Operation 2 on Machine 1 duration 247 mins.
Operation 3 on Machine 2 duration 78 mins.
Job 1 consists of the following Operations:
Operation 0 on Machine 3 duration 28 mins.
Operation 1 on Machine 2 duration 211 mins.
Operation 2 on Machine 0 duration 15 mins.
Operation 3 on Machine 1 duration 214 mins.
Job 2 consists of the following Operations:
Operation 0 on Machine 1 duration 38 mins.
Operation 1 on Machine 3 duration 167 mins.
Operation 2 on Machine 0 duration 56 mins.
Operation 3 on Machine 2 duration 78 mins.
Job 3 consists of the following Operations:
Operation 0 on Machine 0 duration 101 mins.
Operation 1 on Machine 2 duration 166 mins.
Operation 2 on Machine 3 duration 134 mins.
Operation 3 on Machine 1 duration 147 mins.
Job 4 consists of the following Operations:
Operation 0 on Machine 1 duration 146 mins.
Operation 1 on Machine 3 duration 107 mins.
Operation 2 on Machine 0 duration 82 mins.
Operation 3 on Machine 2 duration 163 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 3 Operation 0 duration 101 mins.
Job 0 Operation 1 duration 197 mins.
Job 1 Operation 2 duration 15 mins.
Job 2 Operation 2 duration 56 mins.
Job 4 Operation 2 duration 82 mins.
Machine 1 is used for the following Operations:
Job 2 Operation 0 duration 38 mins.
Job 4 Operation 0 duration 146 mins.
Job 0 Operation 2 duration 247 mins.
Job 1 Operation 3 duration 214 mins.
Job 3 Operation 3 duration 147 mins.
Machine 2 is used for the following Operations:
Job 1 Operation 1 duration 211 mins.
Job 3 Operation 1 duration 166 mins.
Job 0 Operation 3 duration 78 mins.
Job 2 Operation 3 duration 78 mins.
Job 4 Operation 3 duration 163 mins.
Machine 3 is used for the following Operations:
Job 0 Operation 0 duration 206 mins.
Job 1 Operation 0 duration 28 mins.
Job 2 Operation 1 duration 167 mins.
Job 4 Operation 1 duration 107 mins.
Job 3 Operation 2 duration 134 mins.
| null |
Solution:
Job 3 Operation 0 on Machine 0 : 0 + 101 -> 101
Job 2 Operation 0 on Machine 1 : 0 + 38 -> 38
Job 1 Operation 0 on Machine 3 : 0 + 28 -> 28
Job 1 Operation 1 on Machine 2 : 28 + 211 -> 239
Job 0 Operation 0 on Machine 3 : 28 + 206 -> 234
Job 4 Operation 0 on Machine 1 : 38 + 146 -> 184
Job 4 Operation 1 on Machine 3 : 234 + 107 -> 341
Job 1 Operation 2 on Machine 0 : 239 + 15 -> 254
Job 3 Operation 1 on Machine 2 : 239 + 166 -> 405
Job 0 Operation 1 on Machine 0 : 254 + 197 -> 451
Job 1 Operation 3 on Machine 1 : 254 + 214 -> 468
Job 2 Operation 1 on Machine 3 : 341 + 167 -> 508
Job 4 Operation 2 on Machine 0 : 451 + 82 -> 533
Job 0 Operation 2 on Machine 1 : 468 + 247 -> 715
Job 3 Operation 2 on Machine 3 : 508 + 134 -> 642
Job 2 Operation 2 on Machine 0 : 533 + 56 -> 589
Job 4 Operation 3 on Machine 2 : 533 + 163 -> 696
Job 2 Operation 3 on Machine 2 : 696 + 78 -> 774
Job 3 Operation 3 on Machine 1 : 715 + 147 -> 862
Job 0 Operation 3 on Machine 2 : 774 + 78 -> 852
Makespan: 862.0, as it is the maximum end completion time of Operation 3
| null |
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