Solutions obtained on benchmarks with our evaluation function
We give in the following lines the solutions we have found up to date with our evaluation function compatible with all classic meta-heuristics :
For the problems of benchmarks j3m3, j3m4, j5m3 and j5m5 with uniform blocking constraints :
3 jobs - 3 machines | 3 jobs - 4 machines | |||||||||
Problem | Wb | RSb | RCb* | RCb | Problem | Wb | RSb | RCb* | RCb | |
0 | 233 | 233 | 294 | 294 | 0 | 94 | 94 | 97 | 97 | |
1 | 232 | 232 | 263 | 263 | 1 | 165 | 174 | 244 | 244 | |
2 | 75 | 75 | 75 | 77 | 2 | 275 | 455 | 455 | 455 | |
3 | 181 | 181 | 181 | 181 | 3 | 289 | 444 | 503 | 503 | |
4 | 117 | 117 | 117 | 117 | 4 | 237 | 263 | 296 | 296 | |
5 | 136 | 169 | 186 | 186 | 5 | 253 | 336 | 336 | 336 | |
6 | 232 | 300 | 311 | 311 | 6 | 247 | 247 | 265 | 265 | |
7 | 121 | 121 | 121 | 121 | 7 | 273 | 273 | 345 | 345 | |
8 | 93 | 93 | 116 | 116 | 8 | 219 | 219 | 314 | 314 | |
9 | 243 | 290 | 290 | 290 | 9 | 247 | 380 | 404 | 404 | |
10 | 101 | 101 | 101 | 101 | 10 | 206 | 206 | 254 | 254 | |
11 | 213 | 216 | 216 | 216 | 11 | 239 | 492 | 508 | 508 | |
12 | 218 | 351 | 415 | 415 | 12 | 119 | 119 | 119 | 119 | |
13 | 177 | 177 | 269 | 269 | 13 | 231 | 231 | 348 | 348 | |
14 | 256 | 407 | 451 | 451 | 14 | 223 | 223 | 231 | 231 | |
15 | 128 | 128 | 162 | 162 | 15 | 291 | 392 | 475 | 475 | |
16 | 239 | 320 | 413 | 413 | 16 | 303 | 303 | 438 | 438 | |
17 | 239 | 239 | 298 | 298 | 17 | 158 | 158 | 158 | 158 | |
18 | 254 | 276 | 297 | 297 | 18 | 249 | 249 | 249 | 249 | |
19 | 197 | 326 | 363 | 363 | 19 | 261 | 261 | 261 | 261 | |
5 jobs - 3 machines | 5 jobs - 5 machines | |||||||||
Problem | Wb | RSb | RCb* | RCb | Problem | Wb | RSb | RCb* | RCb | |
0 | 141 | 181 | 191 | 191 | 0 | 330 | 393 | 497 | 497 | |
1 | 280 | 294 | 314 | 314 | 1 | 356 | 415 | 511 | 511 | |
2 | 231 | 237 | 305 | 305 | 2 | 236 | 335 | 365 | 365 | |
3 | 158 | 159 | 215 | 215 | 3 | 278 | 337 | 346 | 346 | |
4 | 215 | 293 | 320 | 320 | 4 | 425 | 499 | 590 | 604 | |
5 | 240 | 368 | 406 | 406 | 5 | 324 | 490 | 596 | 596 | |
6 | 242 | 334 | 456 | 456 | 6 | 291 | 566 | 642 | 642 | |
7 | 332 | 549 | 695 | 695 | 7 | 296 | 447 | 573 | 573 | |
8 | 215 | 215 | 251 | 251 | 8 | 435 | 485 | 511 | 511 | |
9 | 293 | 293 | 428 | 428 | 9 | 276 | 276 | 366 | 366 | |
10 | 263 | 432 | 480 | 480 | 10 | 301 | 591 | 609 | 609 | |
11 | 349 | 376 | 481 | 481 | 11 | 355 | 616 | 646 | 646 | |
12 | 203 | 210 | 371 | 371 | 12 | 375 | 623 | 623 | 623 | |
13 | 224 | 236 | 320 | 320 | 13 | 249 | 354 | 527 | 527 | |
14 | 255 | 392 | 519 | 519 | 14 | 340 | 564 | 600 | 600 | |
15 | 311 | 360 | 459 | 459 | 15 | 410 | 651 | 837 | 837 | |
16 | 324 | 402 | 487 | 487 | 16 | 340 | 564 | 600 | 600 | |
17 | 351 | 560 | 642 | 642 | 17 | 250 | 447 | 480 | 480 | |
18 | 351 | 531 | 628 | 628 | 18 | 391 | 573 | 603 | 603 | |
19 | 263 | 314 | 457 | 457 | 19 | 368 | 536 | 707 | 707 |
For the j5m5 problems with mixed blocking constraints :
Genetic Algorithm | |||
5 jobs - 5 machines | |||
B1 | B2 | B3 | B4 |
388 | 398 | 350 | 367 |
462 | 364 | 422 | 356 |
310 | 302 | 236 | 237 |
337 | 278 | 337 | 278 |
456 | 456 | 434 | 563 |
418 | 350 | 403 | 492 |
377 | 319 | 348 | 381 |
342 | 347 | 402 | 450 |
435 | 440 | 435 | 435 |
329 | 319 | 276 | 276 |
448 | 386 | 301 | 391 |
523 | 362 | 457 | 420 |
623 | 377 | 490 | 468 |
401 | 328 | 298 | 342 |
500 | 397 | 340 | 527 |
596 | 530 | 529 | 508 |
500 | 397 | 340 | 527 |
436 | 292 | 438 | 299 |
468 | 469 | 396 | 397 |
511 | 475 | 368 | 536 |
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