Table 1 Results on the OPTW test instances
From: Iterated local search algorithm for solving the orienteering problem with soft time windows
Instance-n | BKS | I3CH | ABC | VNS | ILS | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Profit | Gap (%) | CPU (s) | Profit | Gap (%) | CPU (s) | Profit | Gap (%) | CPU (s) | Profit | Gap (%) | CPU (s) | ||
C101-100 | 320 | 320 | 0.0 | 21.8 | 320 | 0.0 | 0.4 | 320 | 0.0 | 72.2 | 320 | 0.0 | 0.2 |
C102-100 | 360 | 360 | 0.0 | 28.1 | 360 | 0.0 | 0.6 | 360 | 0.0 | 102.2 | 360 | 0.0 | 0.3 |
C103-100 | 400 | 400 | 0.0 | 27.1 | 398 | 0.5 | 3.6 | 398 | 0.5 | 106.2 | 400 | 0.0 | 0.2 |
C104-100 | 420 | 420 | 0.0 | 27.1 | 420 | 0.0 | 15.2 | 418 | 0.5 | 124.3 | 420 | 0.0 | 0.4 |
C105-100 | 340 | 340 | 0.0 | 23.4 | 340 | 0.0 | 0.5 | 340 | 0.0 | 87.1 | 340 | 0.0 | 0.4 |
C106-100 | 340 | 340 | 0.0 | 23.6 | 340 | 0.0 | 0.5 | 340 | 0.0 | 86.7 | 340 | 0.0 | 0.5 |
C107-100 | 370 | 370 | 0.0 | 24.7 | 370 | 0.0 | 1.3 | 370 | 0.0 | 88.7 | 370 | 0.0 | 0.1 |
C108-100 | 370 | 370 | 0.0 | 24.8 | 370 | 0.0 | 0.9 | 370 | 0.0 | 99.3 | 370 | 0.0 | 0.5 |
C109-100 | 380 | 380 | 0.0 | 26.3 | 380 | 0.0 | 0.5 | 380 | 0.0 | 118.7 | 380 | 0.0 | 6.8 |
Avg | 0.0 | 25.2 | 0.1 | 2.6 | 0.1 | 98.4 | 0.0 | 1.0 | |||||
R101-100 | 198 | 198 | 0.0 | 20.4 | 190.0 | 4.2 | 0.3 | 198.0 | 0.0 | 49.9 | 198 | 0.0 | 0.1 |
R102-100 | 286 | 286 | 0.0 | 29.3 | 281.6 | 1.6 | 2.2 | 285.2 | 0.3 | 77.9 | 286 | 0.0 | 0.2 |
R103-100 | 293 | 293 | 0.0 | 28.8 | 292.0 | 0.3 | 1.1 | 293.0 | 0.0 | 90.2 | 293 | 0.0 | 1.4 |
R104-100 | 303 | 298 | 1.7 | 27.3 | 299.6 | 1.1 | 1.7 | 303.0 | 0.0 | 95.9 | 303 | 0.0 | 1.5 |
R105-100 | 247 | 247 | 0.0 | 26.0 | 242.6 | 1.8 | 9.1 | 247.0 | 0.0 | 85.4 | 247 | 0.0 | 0.7 |
R106-100 | 293 | 293 | 0.0 | 29.4 | 289.0 | 1.4 | 1.6 | 292.2 | 0.3 | 89.6 | 293 | 0.0 | 0.2 |
R107-100 | 299 | 297 | 0.7 | 27.8 | 299.0 | 0.0 | 7.1 | 299.0 | 0.0 | 105.5 | 299 | 0.0 | 0.5 |
R108-100 | 308 | 306 | 0.7 | 29.7 | 308.0 | 0.0 | 4.6 | 308 | 0.0 | 119.1 | 308 | 0.0 | 0.9 |
R109-100 | 277 | 277 | 0.0 | 31.1 | 277.0 | 0.0 | 1.6 | 277.0 | 0.0 | 77.4 | 277 | 0.0 | 0.2 |
R110-100 | 284 | 284 | 0.0 | 33.9 | 282.2 | 0.6 | 8.1 | 284.0 | 0.0 | 86.0 | 284 | 0.0 | 1.3 |
R111-100 | 297 | 295 | 0.7 | 27.7 | 294.0 | 1.0 | 1.7 | 297.0 | 0.0 | 95.4 | 297 | 0.0 | 10.9 |
R112-100 | 298 | 289 | 3.1 | 32.0 | 297.0 | 0.3 | 2.4 | 297.9 | 0.0 | 97.0 | 298 | 0.0 | 3.3 |
Avg | 0.6 | 28.6 | 1.0 | 3.5 | 0.1 | 89.1 | 0.0 | 1.8 | |||||
RC101-100 | 219 | 219 | 0.0 | 21.8 | 219 | 0.0 | 0.5 | 219 | 0.0 | 61.2 | 219 | 0.0 | 0.2 |
RC102-100 | 266 | 266 | 0.0 | 25.5 | 266 | 0.0 | 0.6 | 266 | 0.0 | 54.7 | 266 | 0.0 | 0.4 |
RC103-100 | 266 | 266 | 0.0 | 27.1 | 266 | 0.0 | 10.7 | 266 | 0.0 | 69.2 | 266 | 0.0 | 2.0 |
RC104-100 | 301 | 301 | 0.0 | 27.2 | 301 | 0.0 | 20.3 | 301 | 0.0 | 62.5 | 301 | 0.0 | 0.3 |
RC105-100 | 244 | 244 | 0.0 | 26.4 | 244 | 0.0 | 1.3 | 244 | 0.0 | 65.2 | 244 | 0.0 | 4.3 |
RC106-100 | 252 | 250 | 0.8 | 25.0 | 251.4 | 0.2 | 8.1 | 252 | 0.0 | 67.4 | 252 | 0.0 | 0.3 |
RC107-100 | 277 | 274 | 1.1 | 26.3 | 276.2 | 0.3 | 10.4 | 277 | 0.0 | 72.4 | 277 | 0.0 | 0.3 |
RC108-100 | 298 | 264 | 12.9 | 25.1 | 298 | 0.0 | 11.3 | 298 | 0.0 | 71.5 | 298 | 0.0 | 0.1 |
Avg | 1.9 | 25.6 | 0.1 | 7.9 | 0.0 | 65.5 | 0.0 | 1.0 | |||||
PR01-48 | 308 | 305 | 1.0 | 20.8 | 307 | 0.3 | 5.8 | 308 | 0.0 | 77.9 | – | – | – |
PR02-96 | 404 | 394 | 2.5 | 47.9 | 391.2 | 3.2 | 4.9 | 403.9 | 0.0 | 244.6 | – | – | – |
PR03-144 | 394 | 394 | 0.0 | 72.9 | 394 | 0.0 | 12.6 | 390.5 | 0.9 | 387.2 | – | – | – |
PR04-192 | 489 | 489 | 0.0 | 109.3 | 486 | 0.6 | 67.4 | 488.1 | 0.2 | 541.6 | – | – | – |
PR05-240 | 595 | 594 | 0.2 | 185.4 | 586.8 | 1.4 | 91.4 | 586.1 | 1.5 | 1455.2 | – | – | – |
PR06-288 | 591 | 590 | 0.2 | 189.9 | 573.6 | 2.9 | 247.4 | 588.2 | 0.5 | 1633.8 | – | – | – |
PR07-72 | 298 | 298 | 0.0 | 26.5 | 298 | 0.0 | 4.3 | 297.5 | 0.2 | 131.0 | – | – | – |
PR08-144 | 463 | 454 | 1.9 | 77.4 | 462 | 0.2 | 15.0 | 452.2 | 2.3 | 514.1 | – | – | – |
PR09-216 | 493 | 490 | 0.6 | 137.8 | 481.8 | 2.3 | 126.3 | 481.5 | 2.3 | 920.8 | – | – | – |
PR10-288 | 594 | 568 | 4.4 | 222.2 | 570.4 | 4.0 | 210.3 | 575.5 | 3.1 | 1534.1 | – | – | – |
Avg | 1.1 | 109.0 | 1.5 | 78.5 | 1.1 | 744.0 | |||||||
C201-100 | 870 | 870 | 0.0 | 70.1 | 870 | 0.0 | 11.2 | 870 | 0.0 | 507.8 | 870 | 0.0 | 36.7 |
C202-100 | 930 | 930 | 0.0 | 87.6 | 930 | 0.0 | 15.3 | 928 | 0.2 | 454.8 | 930 | 0.0 | 59.0 |
C203-100 | 960 | 960 | 0.0 | 92.3 | 958 | 0.2 | 14.8 | 960 | 0.0 | 614.3 | 960 | 0.0 | 137.2 |
C204-100 | 980 | 970 | 1.0 | 117.4 | 966 | 1.4 | 25.7 | 972 | 0.8 | 484 | 974 | 0.6 | 217.6 |
C205-100 | 910 | 900 | 1.1 | 70.7 | 900 | 1.1 | 1.7 | 908 | 0.2 | 645.4 | 908 | 0.2 | 56.2 |
C206-100 | 930 | 920 | 1.1 | 75.7 | 928 | 0.2 | 6.2 | 927 | 0.3 | 616.5 | 927 | 0.3 | 111.5 |
C207-100 | 930 | 930 | 0.0 | 77.4 | 918 | 1.3 | 2.3 | 930 | 0.0 | 599.5 | 930 | 0.0 | 68.1 |
C208-100 | 950 | 950 | 0.0 | 84.0 | 950 | 0.0 | 11.8 | 949 | 0.1 | 558.9 | 950 | 0.0 | 33.3 |
Avg | 0.4 | 84.4 | 0.5 | 11.1 | 0.2 | 560.2 | 0.1 | 90.0 | |||||
R201-100 | 797 | 789 | 1.0 | 101.8 | 787 | 1.3 | 20.3 | 796.7 | 0.0 | 1021.7 | 788.7 | 1.0 | 133.7 |
R202-100 | 930 | 930 | 0.0 | 175.6 | 895.8 | 3.7 | 40.6 | 905.6 | 2.6 | 1057.5 | 910.3 | 2.1 | 165.6 |
R203-100 | 1028 | 1020 | 0.8 | 221.4 | 1009 | 1.8 | 25.6 | 1007.9 | 2.0 | 1139.9 | 1011.3 | 1.6 | 213.5 |
R204-100 | 1093 | 1073 | 1.8 | 236.9 | 1070.4 | 2.1 | 34.0 | 1076.3 | 1.5 | 1253.5 | 1082.8 | 0.9 | 171.0 |
R205-100 | 953 | 946 | 0.7 | 129.3 | 953 | 0.0 | 32.9 | 952.6 | 0.0 | 745.1 | 948.4 | 0.5 | 169.9 |
R206-100 | 1032 | 1021 | 1.1 | 169.3 | 1018 | 1.4 | 21.3 | 1014 | 1.7 | 1168.1 | 1012.4 | 1.9 | 126.5 |
R207-100 | 1077 | 1050 | 2.5 | 192.8 | 1060.8 | 1.5 | 20.9 | 1061.5 | 1.4 | 1065.3 | 1059.5 | 1.6 | 174.0 |
R208-100 | 1117 | 1092 | 2.2 | 230.0 | 1084.6 | 2.9 | 26.7 | 1101.5 | 1.4 | 1160.8 | 1107.6 | 0.8 | 165.6 |
R209-100 | 959 | 948 | 1.1 | 136.5 | 934.6 | 2.5 | 26.3 | 947.8 | 1.2 | 925.9 | 949.7 | 1.0 | 145.8 |
R210-100 | 991 | 982 | 0.9 | 176.9 | 965.4 | 2.6 | 29.3 | 975.9 | 1.5 | 1065.6 | 970.8 | 2.0 | 171.8 |
R211-100 | 1051 | 1013 | 3.6 | 167.4 | 1019 | 3.0 | 15.0 | 1024.2 | 2.5 | 1120.7 | 1040.4 | 1.0 | 145.7 |
Avg | 1.4 | 176.2 | 2.1 | 26.6 | 1.4 | 1065.8 | 1.3 | 162.1 | |||||
RC201-100 | 795 | 795 | 0.0 | 80.9 | 784 | 1.4 | 24.9 | 795 | 0.0 | 640.8 | 795 | 0.0 | 63.5 |
RC202-100 | 938 | 924 | 1.5 | 129.3 | 926.8 | 1.2 | 27.3 | 925.6 | 1.3 | 951.5 | 929 | 1.0 | 156.2 |
RC203-100 | 1003 | 966 | 3.7 | 134.3 | 962.4 | 4.0 | 24.8 | 988.2 | 1.5 | 938.4 | 989.8 | 1.3 | 111.5 |
RC204-100 | 1140 | 1093 | 4.1 | 167.5 | 1109.2 | 2.7 | 23.4 | 1120.8 | 1.7 | 970.3 | 1131.3 | 0.8 | 165.0 |
RC205-100 | 859 | 847 | 1.4 | 99.2 | 852.3 | 0.8 | 27.2 | 845.9 | 1.5 | 726.6 | 854.7 | 0.5 | 100.5 |
RC206-100 | 899 | 863 | 4.0 | 98.4 | 890.2 | 1.0 | 24.9 | 878.4 | 2.3 | 838.7 | 894.1 | 0.5 | 152.0 |
RC207-100 | 983 | 957 | 2.6 | 122.0 | 977.0 | 0.6 | 15.8 | 960.8 | 2.3 | 893.5 | 952.1 | 3.1 | 129.9 |
RC208-100 | 1057 | 1003 | 5.1 | 123.0 | 1032.8 | 2.3 | 26.3 | 1043.5 | 1.3 | 995.5 | 1040.7 | 1.5 | 85.6 |
Avg | 2.8 | 119.3 | 1.8 | 24.3 | 1.5 | 869.4 | 1.1 | 120.5 | |||||
PR11-48 | 353 | 353 | 0.0 | 30.8 | 350.6 | 0.7 | 1.7 | 328 | 7.1 | 131.4 | – | – | – |
PR12-96 | 442 | 433 | 2.0 | 59.8 | 432 | 2.3 | 23.5 | 442 | 0.0 | 309.6 | – | – | – |
PR13-144 | 467 | 466 | 0.2 | 89.5 | 458.1 | 1.9 | 8.9 | 453.7 | 2.8 | 514.1 | – | – | – |
PR14-192 | 567 | 521 | 8.1 | 144.4 | 560.1 | 1.2 | 76.6 | 550.1 | 3.0 | 1163.8 | – | – | – |
PR15-240 | 708 | 707 | 0.1 | 248.2 | 666.4 | 5.9 | 274.6 | 663.2 | 6.3 | 1900.9 | – | – | – |
PR16-288 | 674 | 619 | 8.2 | 228.6 | 613.4 | 9.0 | 205.1 | 637 | 5.5 | 1854.1 | – | – | – |
PR17-72 | 362 | 360 | 0.6 | 34.7 | 359 | 0.8 | 6.6 | 358.3 | 1.0 | 140.5 | – | – | – |
PR18-144 | 539 | 497 | 7.8 | 99.0 | 535 | 0.7 | 22.1 | 519.4 | 3.6 | 760.9 | – | – | – |
PR19-216 | 562 | 538 | 4.3 | 164.6 | 541 | 3.7 | 70.7 | 551.6 | 1.9 | 1242.2 | – | – | – |
PR20-288 | 667 | 588 | 11.8 | 202.7 | 604.8 | 9.3 | 346.9 | 647.8 | 2.9 | 2441.9 | – | – | – |
Avg | 4.3 | 130.2 | 3.6 | 103.7 | 3.4 | 1045.9 | |||||||
Instance-n | BKS | ACS | GVNS | GRASP-ELS | SSA | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Profit | Gap (%) | CPU (s) | Profit | Gap (%) | CPU (s) | Profit | Gap (%) | CPU (s) | Profit | Gap (%) | CPU (s) | ||
C101-100 | 320 | 320 | 0.0 | 0.5 | 320 | 0.0 | 0.2 | 320 | 0.0 | 1.2 | 320 | 0.0 | 20.4 |
C102-100 | 360 | 360 | 0.0 | 0.7 | 360 | 0.0 | 67.4 | 360 | 0.0 | 16.5 | 360 | 0.0 | 20.7 |
C103-100 | 400 | 400 | 0.0 | 16.9 | 396 | 1.0 | 382.4 | 400 | 0.0 | 38.5 | 400 | 0.0 | 24.2 |
C104-100 | 420 | 420 | 0.0 | 33.5 | 410 | 2.4 | 1005.9 | 420 | 0.0 | 105.2 | 420 | 0.0 | 21.9 |
C105-100 | 340 | 340 | 0.0 | 0.9 | 340 | 0.0 | 3.3 | 340 | 0.0 | 2.3 | 340 | 0.0 | 20.6 |
C106-100 | 340 | 340 | 0.0 | 1.0 | 340 | 0.0 | 6.5 | 340 | 0.0 | 3.8 | 340 | 0.0 | 20.3 |
C107-100 | 370 | 370 | 0.0 | 2.1 | 358 | 3.4 | 0.7 | 370 | 0.0 | 3.7 | 370 | 0.0 | 20.5 |
C108-100 | 370 | 370 | 0.0 | 0.8 | 354 | 4.5 | 1.1 | 370 | 0.0 | 6.6 | 370 | 0.0 | 20.5 |
C109-100 | 380 | 380 | 0.0 | 0.8 | 380 | 0.0 | 30.6 | 380 | 0.0 | 25.5 | 380 | 0.0 | 20.5 |
Avg | 0.0 | 6.4 | 1.3 | 166.5 | 0.0 | 22.6 | 0.0 | 21.1 | |||||
R101-100 | 198 | 198 | 0.0 | 0.1 | 197 | 0.5 | 0.2 | 198 | 0.0 | 0.9 | 198 | 0.0 | 19.7 |
R102-100 | 286 | 286 | 0.0 | 11.1 | 274.8 | 4.1 | 13.4 | 286 | 0.0 | 2.3 | 286 | 0.0 | 21 |
R103-100 | 293 | 292.6 | 0.1 | 640.6 | 286 | 2.4 | 33.8 | 290.4 | 0.9 | 4.8 | 293 | 0.0 | 20.3 |
R104-100 | 303 | 303 | 0.0 | 164.0 | 298.6 | 1.5 | 72.7 | 302.8 | 0.1 | 5.1 | 303 | 0.0 | 23.2 |
R105-100 | 247 | 247 | 0.0 | 3.0 | 230.6 | 7.1 | 0.3 | 247 | 0.0 | 1.2 | 247 | 0.0 | 20.3 |
R106-100 | 293 | 293 | 0.0 | 86.3 | 280.4 | 4.5 | 19.1 | 293 | 0.0 | 3.3 | 293 | 0.0 | 22.1 |
R107-100 | 299 | 294.6 | 1.5 | 922.6 | 287.2 | 4.1 | 50.3 | 296.4 | 0.9 | 4.8 | 297 | 0.7 | 21.5 |
R108-100 | 308 | 306 | 0.7 | 696.1 | 301.4 | 2.2 | 50.1 | 306.8 | 0.4 | 5.0 | 306 | 0.7 | 40.6 |
R109-100 | 277 | 277 | 0.0 | 28.0 | 276.4 | 0.2 | 10.4 | 277 | 0.0 | 2.7 | 277 | 0.0 | 20.4 |
R110-100 | 284 | 283.2 | 0.3 | 617.6 | 279.2 | 1.7 | 16.8 | 283.6 | 0.1 | 2.8 | 284 | 0.0 | 20.8 |
R111-100 | 297 | 296.6 | 0.1 | 484.4 | 290.6 | 2.2 | 54.2 | 297 | 0.0 | 4.6 | 297 | 0.0 | 27.9 |
R112-100 | 298 | 297.4 | 0.2 | 947.1 | 289.6 | 2.9 | 31.9 | 297.2 | 0.3 | 4.6 | 298 | 0.0 | 22.3 |
Avg | 0.2 | 383.4 | 2.8 | 29.4 | 0.2 | 3.5 | 0.1 | 23.3 | |||||
RC101-100 | 219 | 219 | 0.0 | 0.2 | 219 | 0.0 | 2.1 | 219 | 0.0 | 0.6 | 219 | 0.0 | 19.8 |
RC102-100 | 266 | 266 | 0.0 | 30.9 | 246 | 8.1 | 5.8 | 259 | 2.7 | 2.1 | 266 | 0.0 | 20.2 |
RC103-100 | 266 | 266 | 0.0 | 57.2 | 253.2 | 5.1 | 23.3 | 265.2 | 0.3 | 2.7 | 266 | 0.0 | 20.7 |
RC104-100 | 301 | 301 | 0.0 | 29.4 | 301 | 0.0 | 16.2 | 300.2 | 0.3 | 3.1 | 301 | 0.0 | 27.5 |
RC105-100 | 244 | 244 | 0.0 | 9.7 | 227 | 7.5 | 2.7 | 244 | 0.0 | 1.4 | 244 | 0.0 | 20.3 |
RC106-100 | 252 | 252 | 0.0 | 308.6 | 252 | 0.0 | 2.2 | 252 | 0.0 | 1.2 | 252 | 0.0 | 21 |
RC107-100 | 277 | 277 | 0.0 | 502.1 | 261.2 | 6.0 | 15.7 | 277 | 0.0 | 1.9 | 277 | 0.0 | 22 |
RC108-100 | 298 | 298 | 0.0 | 207.5 | 288.8 | 3.2 | 10.4 | 298 | 0.0 | 2.9 | 298 | 0.0 | 26 |
Avg | 0.0 | 143.2 | 3.7 | 9.8 | 0.4 | 2.0 | 0.0 | 22.2 | |||||
PR01-48 | 308 | 308 | 0.0 | 256.2 | 307.2 | 0.3 | 1.2 | 308 | 0.0 | 1.2 | 305 | 1.0 | 8.3 |
PR02-96 | 404 | 403.8 | 0.0 | 1147.8 | 403.6 | 0.1 | 3.7 | 402.6 | 0.3 | 3.0 | 404 | 0.0 | 29.1 |
PR03-144 | 394 | 394 | 0.0 | 2024.7 | 388 | 1.5 | 4.1 | 394 | 0.0 | 3.1 | 394 | 0.0 | 59.9 |
PR04-192 | 489 | 482.6 | 1.3 | 1404.7 | 475.4 | 2.8 | 14.7 | 474.6 | 2.9 | 5.3 | 489 | 0.0 | 106.7 |
PR05-240 | 595 | 576.8 | 3.1 | 2075.7 | 578 | 2.9 | 20.5 | 581 | 2.4 | 9.1 | 589 | 1.0 | 281.7 |
PR06-288 | 591 | 564.6 | 4.5 | 2199.8 | 584.2 | 1.2 | 29.0 | 583.4 | 1.3 | 8.6 | 575 | 2.7 | 253.4 |
PR07-72 | 298 | 298 | 0.0 | 20.1 | 297 | 0.3 | 1.7 | 294.4 | 1.2 | 1.6 | 298 | 0.0 | 15.0 |
PR08-144 | 463 | 462.6 | 0.1 | 2476.0 | 463 | 0.0 | 3.8 | 462.8 | 0.0 | 3.3 | 462 | 0.2 | 76.0 |
PR09-216 | 493 | 481.8 | 2.3 | 2318.2 | 482 | 2.2 | 12.3 | 477.8 | 3.1 | 7.0 | 482 | 2.2 | 102.3 |
PR10-288 | 594 | 588.4 | 0.9 | 2343.5 | 564.4 | 5.0 | 32.7 | 574.2 | 3.3 | 8.1 | 578 | 2.7 | 189.7 |
Avg | 1.2 | 1626.7 | 1.6 | 12.4 | 1.5 | 5.0 | 1.0 | 112.2 | |||||
C201-100 | 870 | 870 | 0.0 | 189.8 | 850 | 2.3 | 0.1 | 870 | 0.0 | 2.5 | 870 | 0.0 | 28.3 |
C202-100 | 930 | 930 | 0.0 | 319.0 | 916 | 1.5 | 78.7 | 910 | 2.2 | 20.4 | 930 | 0.0 | 33.5 |
C203-100 | 960 | 960 | 0.0 | 361.0 | 956 | 0.4 | 329 | 960 | 0.0 | 45.2 | 960 | 0.0 | 59.6 |
C204-100 | 980 | 970 | 1.0 | 1617.5 | 966 | 1.4 | 974 | 970 | 1.0 | 130.3 | 970 | 1.0 | 42.3 |
C205-100 | 910 | 906 | 0.4 | 28.2 | 898 | 1.3 | 12.5 | 906 | 0.4 | 10.6 | 910 | 0.0 | 46.9 |
C206-100 | 930 | 920 | 1.1 | 87.9 | 922 | 0.9 | 34.4 | 926 | 0.4 | 13.4 | 930 | 0.0 | 29 |
C207-100 | 930 | 920 | 1.1 | 48.5 | 928 | 0.2 | 36.3 | 930 | 0.0 | 17.3 | 930 | 0.0 | 29.1 |
C208-100 | 950 | 940.2 | 1.0 | 89.0 | 942 | 0.8 | 74.2 | 942 | 0.8 | 17.7 | 950 | 0.0 | 31.2 |
Avg | 0.6 | 342.6 | 1.1 | 192.4 | 0.6 | 32.2 | 0.1 | 37.5 | |||||
R201-100 | 797 | 795.8 | 0.2 | 2339.9 | 775.6 | 2.7 | 6.7 | 788.2 | 1.1 | 5.3 | 794 | 0.4 | 51.1 |
R202-100 | 930 | 899.6 | 3.3 | 1724.4 | 881.4 | 5.2 | 13.4 | 909.8 | 2.2 | 9.6 | 914 | 1.7 | 46.4 |
R203-100 | 1028 | 989.9 | 3.7 | 2641.7 | 992.2 | 3.5 | 34.7 | 1001.4 | 2.6 | 12.6 | 997 | 3.0 | 44.2 |
R204-100 | 1093 | 1046.4 | 4.3 | 1549.1 | 1073.8 | 1.8 | 77.6 | 1071.8 | 1.9 | 15.2 | 1058 | 3.2 | 39.7 |
R205-100 | 953 | 939.2 | 1.4 | 1125.4 | 905.8 | 5.0 | 15.3 | 927.2 | 2.7 | 7.8 | 946 | 0.7 | 37.8 |
R206-100 | 1032 | 983.0 | 4.7 | 1671.4 | 966.6 | 6.3 | 34.9 | 1023.6 | 0.8 | 10.7 | 1020 | 1.2 | 40.9 |
R207-100 | 1077 | 1026.6 | 4.7 | 1090.3 | 1022 | 5.1 | 46.6 | 1049.2 | 2.6 | 13.5 | 1069 | 0.7 | 52.5 |
R208-100 | 1117 | 1057.2 | 5.4 | 1260.9 | 1083.6 | 3.0 | 52.9 | 1100.2 | 1.5 | 15.9 | 1079 | 3.4 | 35.8 |
R209-100 | 959 | 923.4 | 3.7 | 1453.2 | 926 | 3.4 | 37.3 | 937.4 | 2.3 | 10.3 | 945 | 1.5 | 61.6 |
R210-100 | 991 | 956.4 | 3.5 | 979.1 | 961.4 | 3.0 | 30.1 | 969 | 2.2 | 10.8 | 973 | 1.8 | 53.6 |
R211-100 | 1051 | 1006.8 | 4.2 | 1288.1 | 1025.6 | 2.4 | 22.5 | 1028.2 | 2.2 | 11.3 | 1041 | 1.0 | 40.5 |
Avg | 3.5 | 1556.7 | 3.8 | 33.8 | 2.0 | 11.2 | 1.7 | 45.8 | |||||
RC201-100 | 795 | 795 | 0.0 | 640.8 | 784 | 1.4 | 3.7 | 786.4 | 1.1 | 4.2 | 795 | 0.0 | 44.4 |
RC202-100 | 938 | 931.6 | 0.7 | 951.5 | 890.6 | 5.1 | 12.1 | 922.8 | 1.6 | 8.9 | 930 | 0.9 | 46.3 |
RC203-100 | 1003 | 976.6 | 2.6 | 938.4 | 954.4 | 4.8 | 22.5 | 978.2 | 2.5 | 9.6 | 967 | 3.6 | 32.4 |
RC204-100 | 1140 | 1086.2 | 4.7 | 970.3 | 1101.8 | 3.4 | 31.9 | 1096.0 | 3.9 | 11.9 | 1140 | 0.0 | 46.5 |
RC205-100 | 859 | 848.4 | 1.2 | 726.6 | 843.8 | 1.8 | 7 | 844.6 | 1.7 | 6.8 | 854 | 0.6 | 52.6 |
RC206-100 | 899 | 884.0 | 1.7 | 838.7 | 866.6 | 3.6 | 11.6 | 886.8 | 1.4 | 6.1 | 885 | 1.6 | 60.2 |
RC207-100 | 983 | 960.8 | 2.3 | 893.5 | 911.4 | 7.3 | 14.7 | 965.4 | 1.8 | 7.5 | 977 | 0.6 | 68.4 |
RC208-100 | 1057 | 1013.2 | 4.1 | 995.5 | 1000.2 | 5.4 | 24.6 | 1007.0 | 4.7 | 10.7 | 1041 | 1.5 | 51.2 |
Avg | 2.2 | 869.4 | 4.1 | 16.0 | 2.3 | 8.2 | 1.1 | 50.3 | |||||
PR11-48 | 353 | 327.8 | 7.1 | 1743.7 | 329 | 6.8 | 1.9 | 329.2 | 6.7 | 2.0 | 351.0 | 0.6 | 10.3 |
PR12-96 | 442 | 436.4 | 1.3 | 2017.6 | 435 | 1.6 | 6.5 | 442.0 | 0.0 | 4.0 | 430.0 | 2.7 | 26.3 |
PR13-144 | 467 | 441.0 | 5.6 | 2312.7 | 452.4 | 3.1 | 16.2 | 456.6 | 2.2 | 4.9 | 452.0 | 3.2 | 49.0 |
PR14-192 | 567 | 494.0 | 12.9 | 23.1 | 540.6 | 4.7 | 32.4 | 541.2 | 4.6 | 8.8 | 540.0 | 4.8 | 134.3 |
PR15-240 | 708 | 524.8 | 25.9 | 18.2 | 656.6 | 7.3 | 29.4 | 665.0 | 6.1 | 13.1 | 666.0 | 5.9 | 118.5 |
PR16-288 | 674 | 517.8 | 23.2 | 25.7 | 643.4 | 4.5 | 60.9 | 652.6 | 3.2 | 16.2 | 616.0 | 8.6 | 558.0 |
PR17-72 | 362 | 358.0 | 1.1 | 1330.9 | 354.6 | 2.0 | 5.4 | 356.2 | 1.6 | 2.4 | 362.0 | 0.0 | 37.6 |
PR18-144 | 539 | 488.8 | 9.3 | 1350.0 | 530.8 | 1.5 | 10.4 | 517.6 | 4.0 | 5.0 | 539.0 | 0.0 | 61.8 |
PR19-216 | 562 | 475.0 | 15.5 | 30.0 | 507.8 | 9.6 | 22.1 | 537.8 | 4.3 | 8.7 | 531.0 | 5.5 | 152.9 |
PR20-288 | 667 | 552.4 | 17.2 | 24.6 | 655.0 | 1.8 | 57.0 | 656.6 | 1.6 | 13.9 | 626.0 | 6.1 | 475.3 |
Avg | 11.9 | 887.7 | 4.3 | 24.2 | 3.4 | 7.9 | 3.7 | 162.4 | |||||
Instance-n | BKS | IterLS | FSA | DABC | HILS | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Profit | Gap (%) | CPU (s) | Profit | Gap (%) | CPU (s) | Profit | Gap (%) | CPU (s) | Profit | Gap (%) | CPU (s) | ||
C101-100 | 320 | 320 | 0.0 | 0.4 | 320 | 0.0 | 0.4 | 312 | 2.5 | 0.4 | 320 | 0.0 | 0.4 |
C102-100 | 360 | 360 | 0.0 | 0.3 | 360 | 0.0 | 0.3 | 360 | 0.0 | 98.6 | 360 | 0.0 | 0.4 |
C103-100 | 400 | 390 | 2.6 | 0.5 | 390 | 2.5 | 0.5 | 390 | 2.5 | 1.0 | 390 | 2.5 | 0.4 |
C104-100 | 420 | 400 | 5.0 | 0.3 | 410 | 2.4 | 0.3 | 420 | 0.0 | 10.4 | 420 | 0.0 | 0.7 |
C105-100 | 340 | 340 | 0.0 | 0.3 | 330 | 2.9 | 0.3 | 322 | 5.3 | 1.2 | 340 | 0.0 | 0.4 |
C106-100 | 340 | 340 | 0.0 | 0.3 | 340 | 0.0 | 0.3 | 340 | 0.0 | 2.0 | 340 | 0.0 | 0.4 |
C107-100 | 370 | 360 | 2.8 | 0.3 | 370 | 0.0 | 0.3 | 350 | 5.4 | 1.2 | 370 | 0.0 | 0.4 |
C108-100 | 370 | 370 | 0.0 | 0.3 | 370 | 0.0 | 0.3 | 370 | 0.0 | 18.8 | 370 | 0.0 | 0.4 |
C109-100 | 380 | 380 | 0.0 | 0.3 | 380 | 0.0 | 0.3 | 380 | 0.0 | 22.0 | 380 | 0.0 | 0.4 |
Avg | 1.2 | 0.3 | 0.9 | 0.3 | 1.7 | 17.3 | 0.3 | 0.4 | |||||
R101-100 | 198 | 182 | 8.8 | 0.1 | 198 | 0.0 | 0.1 | 182.2 | 8.0 | 0.6 | 198 | 0.0 | 0.2 |
R102-100 | 286 | 286 | 0.0 | 0.2 | 282 | 1.4 | 0.2 | 286 | 0.0 | 5.4 | 286 | 0.0 | 0.6 |
R103-100 | 293 | 286 | 2.4 | 0.2 | 293 | 0.0 | 0.2 | 293 | 0.0 | 49.4 | 287 | 2.0 | 0.7 |
R104-100 | 303 | 297 | 2.0 | 0.2 | 294 | 3.0 | 0.2 | 303 | 0.0 | 15 | 299 | 1.3 | 0.7 |
R105-100 | 247 | 247 | 0.0 | 0.1 | 247 | 0.0 | 0.1 | 243.4 | 1.5 | 62.2 | 247 | 0.0 | 0.3 |
R106-100 | 293 | 293 | 0.0 | 0.2 | 270 | 7.8 | 0.2 | 293 | 0.0 | 0.8 | 293 | 0.0 | 0.6 |
R107-100 | 299 | 288 | 3.8 | 0.2 | 277 | 7.4 | 0.2 | 297 | 0.7 | 1.4 | 299 | 0.0 | 0.7 |
R108-100 | 308 | 297 | 3.7 | 0.2 | 294 | 4.5 | 0.2 | 306 | 0.6 | 31 | 308 | 0.0 | 0.7 |
R109-100 | 277 | 276 | 0.4 | 0.2 | 264 | 4.7 | 0.2 | 233.4 | 15.7 | 0.6 | 276 | 0.4 | 0.4 |
R110-100 | 284 | 281 | 1.1 | 0.3 | 282 | 0.7 | 0.3 | 281.2 | 1.0 | 1.0 | 281 | 1.1 | 0.4 |
R111-100 | 297 | 295 | 0.7 | 0.2 | 286 | 3.7 | 0.2 | 295 | 0.7 | 85.4 | 294 | 1.0 | 0.7 |
R112-100 | 298 | 295 | 1.0 | 0.2 | 284 | 4.7 | 0.2 | 290.8 | 2.4 | 50.8 | 295 | 1.0 | 0.7 |
Avg | 2.0 | 0.2 | 3.2 | 0.2 | 2.6 | 25.3 | 0.6 | 0.6 | |||||
RC101-100 | 219 | 219 | 0.0 | 0.2 | 216 | 1.4 | 0.2 | 206 | 5.9 | 2.2 | 219 | 0.0 | 0.2 |
RC102-100 | 266 | 259 | 2.7 | 0.2 | 249 | 6.4 | 0.2 | 259 | 2.6 | 1.0 | 259 | 2.6 | 0.3 |
RC103-100 | 266 | 265 | 0.4 | 0.3 | 265 | 0.4 | 0.3 | 255.8 | 3.8 | 6.4 | 248 | 6.8 | 0.3 |
RC104-100 | 301 | 297 | 1.3 | 0.3 | 263 | 12.6 | 0.3 | 288.4 | 4.2 | 86.8 | 275 | 8.6 | 0.3 |
RC105-100 | 244 | 221 | 10.4 | 0.2 | 219 | 10.2 | 0.2 | 228 | 6.6 | 4.4 | 244 | 0.0 | 0.3 |
RC106-100 | 252 | 239 | 5.4 | 0.2 | 240 | 4.8 | 0.2 | 225 | 10.7 | 0.6 | 244 | 3.2 | 0.3 |
RC107-100 | 277 | 274 | 1.1 | 0.2 | 244 | 11.9 | 0.2 | 262.4 | 5.3 | 45 | 276 | 0.4 | 0.3 |
RC108-100 | 298 | 288 | 3.5 | 0.2 | 263 | 11.7 | 0.2 | 284 | 4.7 | 82.6 | 278 | 6.7 | 0.3 |
Avg | 3.1 | 0.2 | 7.4 | 0.2 | 5.5 | 28.6 | 3.5 | 0.3 | |||||
PR01-48 | 308 | 304 | 1.3 | 0.5 | 304 | 1.3 | 0.5 | – | – | – | 308 | 0.0 | 1.1 |
PR02-96 | 404 | 385 | 4.7 | 0.6 | 392 | 3.0 | 0.6 | – | – | – | 397 | 1.7 | 1.2 |
PR03-144 | 394 | 384 | 2.5 | 1.0 | 381 | 3.3 | 1.0 | – | – | – | 378 | 4.1 | 1.4 |
PR04-192 | 489 | 447 | 8.6 | 1.9 | 470 | 3.9 | 1.9 | – | – | – | 452 | 7.6 | 2.1 |
PR05-240 | 595 | 576 | 3.2 | 4.6 | 527 | 11.4 | 4.6 | – | – | – | 523 | 12.4 | 5.5 |
PR06-288 | 591 | 538 | 9.0 | 2.5 | 557 | 5.8 | 2.5 | – | – | – | 496 | 16.1 | 5.8 |
PR07-72 | 298 | 291 | 2.3 | 0.4 | 289 | 3.0 | 0.4 | – | – | – | 285 | 10.7 | 0.4 |
PR08-144 | 463 | 463 | 0.0 | 1.0 | 438 | 5.4 | 1.0 | – | – | – | 455 | 1.7 | 2.1 |
PR09-216 | 493 | 461 | 6.5 | 1.4 | 461 | 6.5 | 1.4 | – | – | – | 447 | 9.3 | 2.2 |
PR10-288 | 594 | 539 | 9.3 | 3.6 | 539 | 9.3 | 3.6 | – | – | – | 526 | 11.4 | 4.9 |
Avg | 4.7 | 1.8 | 5.3 | 1.8 | 6.8 | 2.7 | |||||||
C201-100 | 870 | 840 | 3.4 | 1.1 | 870 | 0.0 | 1.1 | 840 | 3.4 | 23.8 | 870 | 0.0 | 3.9 |
C202-100 | 930 | 910 | 2.2 | 2.8 | 930 | 0.0 | 2.8 | 930 | 0.0 | 127.4 | 910 | 2.2 | 5.7 |
C203-100 | 960 | 940 | 2.1 | 1.7 | 940 | 2.1 | 1.7 | 960 | 0.0 | 153.4 | 960 | 0.0 | 6.2 |
C204-100 | 980 | 950 | 3.1 | 1.6 | 950 | 3.1 | 1.6 | 970 | 1.0 | 117.6 | 970 | 1.0 | 9.2 |
C205-100 | 910 | 900 | 1.1 | 1.2 | 900 | 1.1 | 1.2 | 906 | 0.4 | 23.6 | 900 | 1.1 | 5.3 |
C206-100 | 930 | 910 | 2.2 | 1.6 | 920 | 1.1 | 1.6 | 928 | 0.2 | 142 | 920 | 1.1 | 5.9 |
C207-100 | 930 | 910 | 2.2 | 2.1 | 930 | 0.0 | 2.1 | 930 | 0.0 | 142.4 | 920 | 1.1 | 6.1 |
C208-100 | 950 | 930 | 2.1 | 1.6 | 940 | 1.1 | 1.6 | 950 | 0.0 | 132.2 | 950 | 0.0 | 6.1 |
Avg | 2.3 | 1.7 | 1.1 | 1.7 | 0.6 | 107.8 | 0.8 | 6.0 | |||||
R201-100 | 797 | 788 | 1.1 | 1.2 | 772 | 3.1 | 1.2 | 784 | 1.6 | 49.4 | 781 | 2.0 | 6.1 |
R202-100 | 930 | 880 | 5.4 | 1.4 | 878 | 5.6 | 1.4 | 912.8 | 1.8 | 105.4 | 890 | 4.3 | 14.3 |
R203-100 | 1028 | 980 | 4.7 | 1.6 | 988 | 3.9 | 1.6 | 1019.6 | 0.8 | 218.6 | 970 | 5.6 | 22.4 |
R204-100 | 1093 | 1073 | 1.8 | 1.7 | 1059 | 3.1 | 1.7 | 1089.4 | 0.3 | 77.4 | 1037 | 5.1 | 29.6 |
R205-100 | 953 | 931 | 2.3 | 1.4 | 936 | 1.8 | 1.4 | 951.4 | 0.2 | 129.0 | 894 | 6.2 | 11.2 |
R206-100 | 1032 | 996 | 3.5 | 1.5 | 950 | 7.9 | 1.5 | 1024.8 | 0.7 | 187.8 | 994 | 3.7 | 18.4 |
R207-100 | 1077 | 1038 | 3.6 | 2.0 | 1033 | 4.1 | 2.0 | 1070.6 | 0.6 | 142.2 | 1015 | 5.8 | 23.5 |
R208-100 | 1117 | 1069 | 4.3 | 1.6 | 1066 | 4.6 | 1.6 | 1114 | 0.3 | 130.2 | 1061 | 5.0 | 33.7 |
R209-100 | 959 | 926 | 3.4 | 2.4 | 914 | 4.7 | 2.4 | 948.4 | 1.1 | 164.4 | 892 | 7.0 | 14.3 |
R210-100 | 991 | 958 | 3.3 | 1.9 | 975 | 1.6 | 1.9 | 972 | 1.9 | 170.4 | 929 | 6.3 | 16.3 |
R211-100 | 1051 | 1023 | 2.7 | 1.6 | 1023 | 2.7 | 1.6 | 1037.2 | 1.3 | 116.8 | 996 | 5.2 | 21.5 |
Avg | 3.3 | 1.7 | 3.9 | 1.7 | 1.0 | 135.6 | 5.1 | 19.2 | |||||
RC201-100 | 795 | 780 | 1.9 | 1.0 | 781 | 1.8 | 1.0 | 792 | 0.4 | 65.6 | 771 | 3.0 | 1.8 |
RC202-100 | 938 | 882 | 6.0 | 1.3 | 866 | 7.7 | 1.3 | 924.4 | 1.4 | 135.2 | 905 | 3.5 | 6.2 |
RC203-100 | 1003 | 960 | 4.3 | 2.7 | 956 | 4.7 | 2.7 | 983.4 | 2.0 | 138.0 | 947 | 5.6 | 10.3 |
RC204-100 | 1140 | 1117 | 2.0 | 2.3 | 1061 | 6.9 | 2.3 | 1130.8 | 0.8 | 168.8 | 1068 | 6.3 | 19.4 |
RC205-100 | 859 | 840 | 2.2 | 1.0 | 800 | 6.9 | 1.0 | 841.2 | 2.1 | 119.2 | 820 | 4.5 | 6.0 |
RC206-100 | 899 | 860 | 4.3 | 1.1 | 866 | 3.7 | 1.1 | 884.8 | 1.6 | 81.4 | 851 | 5.3 | 6.1 |
RC207-100 | 983 | 926 | 5.8 | 1.3 | 899 | 8.5 | 1.3 | 937.6 | 4.6 | 117.2 | 923 | 6.1 | 9.2 |
RC208-100 | 1057 | 1037 | 1.9 | 2.3 | 1015 | 4.0 | 2.3 | 1041.0 | 1.5 | 34.0 | 1008 | 4.6 | 13.3 |
Avg | 3.6 | 1.6 | 5.5 | 1.6 | 1.8 | 107.4 | 4.9 | 9.0 | |||||
PR11-48 | 353 | 330 | 6.5 | 0.3 | 339 | 4.0 | 0.3 | – | – | – | 351 | 0.6 | 0.7 |
PR12-96 | 442 | 431 | 2.5 | 0.9 | 432 | 2.3 | 0.9 | – | – | – | 427 | 3.4 | 2.1 |
PR13-144 | 467 | 450 | 3.6 | 1.9 | 424 | 9.2 | 1.9 | – | – | – | 436 | 6.6 | 2.7 |
PR14-192 | 567 | 482 | 15.0 | 1.1 | 499 | 12.0 | 1.1 | – | – | – | 479 | 15.5 | 6.0 |
PR15-240 | 708 | 638 | 9.9 | 5.3 | 613 | 13.4 | 5.3 | – | – | – | 616 | 13.0 | 16.4 |
PR16-288 | 674 | 559 | 17.1 | 4.1 | 562 | 16.6 | 4.1 | – | – | – | 582 | 13.6 | 13.3 |
PR17-72 | 362 | 346 | 4.4 | 0.2 | 335 | 7.5 | 0.2 | – | – | – | 363 | −0.3 | 1.0 |
PR18-144 | 539 | 479 | 11.1 | 0.8 | 477 | 11.5 | 0.8 | – | – | – | 459 | 14.8 | 4.1 |
PR19-216 | 562 | 499 | 11.2 | 2.7 | 501 | 10.9 | 2.7 | – | – | – | 479 | 14.8 | 6.2 |
PR20-288 | 667 | 570 | 14.5 | 2.5 | 568 | 14.8 | 2.5 | – | – | – | 588 | 11.8 | 10.2 |
Avg | 9.6 | 2.0 | 10.2 | 2.0 | 9.4 | 6.3 | |||||||
Instance-n | BKS | GA | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Profit | Gap (%) | CPU (s) | |||||||||||
C101-100 | 320 | 317 | 0.9 | 0.3 | |||||||||
C102-100 | 360 | 360 | 0.0 | 0.3 | |||||||||
C103-100 | 400 | 389 | 2.8 | 0.4 | |||||||||
C104-100 | 420 | 403 | 4.0 | 0.4 | |||||||||
C105-100 | 340 | 340 | 0.0 | 0.3 | |||||||||
C106-100 | 340 | 340 | 0.0 | 0.3 | |||||||||
C107-100 | 370 | 362 | 2.2 | 0.3 | |||||||||
C108-100 | 370 | 370 | 0.0 | 0.3 | |||||||||
C109-100 | 380 | 380 | 0.0 | 0.3 | |||||||||
Avg | 1.1 | 0.3 | |||||||||||
R101-100 | 198 | 189 | 4.5 | 0.2 | |||||||||
R102-100 | 286 | 286 | 0.0 | 0.3 | |||||||||
R103-100 | 293 | 290 | 1.0 | 0.3 | |||||||||
R104-100 | 303 | 297 | 2.0 | 0.3 | |||||||||
R105-100 | 247 | 244 | 1.2 | 0.2 | |||||||||
R106-100 | 293 | 292 | 0.3 | 0.3 | |||||||||
R107-100 | 299 | 292 | 2.3 | 0.4 | |||||||||
R108-100 | 308 | 300 | 2.6 | 0.3 | |||||||||
R109-100 | 277 | 270 | 2.5 | 0.3 | |||||||||
R110-100 | 284 | 277 | 2.5 | 0.3 | |||||||||
R111-100 | 297 | 293 | 1.3 | 0.4 | |||||||||
R112-100 | 298 | 293 | 1.7 | 0.4 | |||||||||
Avg | 1.8 | 0.3 | |||||||||||
RC101-100 | 219 | 216 | 1.4 | 0.2 | |||||||||
RC102-100 | 266 | 261 | 1.9 | 0.3 | |||||||||
RC103-100 | 266 | 262 | 1.5 | 0.3 | |||||||||
RC104-100 | 301 | 294 | 2.3 | 0.4 | |||||||||
RC105-100 | 244 | 236 | 3.3 | 0.3 | |||||||||
RC106-100 | 252 | 245 | 2.8 | 0.3 | |||||||||
RC107-100 | 277 | 269 | 2.9 | 0.3 | |||||||||
RC108-100 | 298 | 289 | 3.0 | 0.3 | |||||||||
Avg | 2.4 | 0.3 | |||||||||||
C201-100 | 870 | 848 | 2.5 | 0.8 | |||||||||
C202-100 | 930 | 901 | 3.1 | 1.0 | |||||||||
C203-100 | 960 | 931 | 3.0 | 1.1 | |||||||||
C204-100 | 980 | 952 | 2.9 | 1.5 | |||||||||
C205-100 | 910 | 893 | 1.9 | 1.0 | |||||||||
C206-100 | 930 | 905 | 2.7 | 1.0 | |||||||||
C207-100 | 930 | 910 | 2.2 | 1.0 | |||||||||
C208-100 | 950 | 931 | 2.0 | 1.0 | |||||||||
Avg | 2.5 | 1.0 | |||||||||||
R201-100 | 797 | 760 | 4.6 | 1.2 | |||||||||
R202-100 | 930 | 867 | 6.8 | 1.8 | |||||||||
R203-100 | 1028 | 954 | 7.2 | 2.2 | |||||||||
R204-100 | 1093 | 1018 | 6.9 | 2.5 | |||||||||
R205-100 | 953 | 876 | 8.1 | 1.6 | |||||||||
R206-100 | 1032 | 954 | 7.6 | 2.0 | |||||||||
R207-100 | 1077 | 986 | 8.4 | 2.1 | |||||||||
R208-100 | 1117 | 1042 | 6.7 | 2.4 | |||||||||
R209-100 | 959 | 897 | 6.5 | 1.7 | |||||||||
R210-100 | 991 | 915 | 7.7 | 1.8 | |||||||||
R211-100 | 1051 | 967 | 8.0 | 2.4 | |||||||||
Avg | 7.1 | 2.0 | |||||||||||
RC201-100 | 795 | 768 | 3.4 | 1.3 | |||||||||
RC202-100 | 938 | 866 | 7.7 | 1.3 | |||||||||
RC203-100 | 1003 | 866 | 13.7 | 1.3 | |||||||||
RC204-100 | 1140 | 1044 | 8.4 | 2.0 | |||||||||
RC205-100 | 859 | 808 | 5.9 | 1.3 | |||||||||
RC206-100 | 899 | 850 | 5.5 | 1.3 | |||||||||
RC207-100 | 983 | 896 | 8.9 | 1.7 | |||||||||
RC208-100 | 1057 | 976 | 7.7 | 1.4 | |||||||||
Avg | 7.6 | 1.5 | |||||||||||
Instance-n | Opt | VAN | VNS | HILS | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Profit | CPU (s) | Profit | CPU (s) | Worst | Best | Avg | CPU (s) | Best | Worst | Avg | CPU (s) | ||
C101-50 | 270 | 0.0 | 270 | 0.3 | 270 | 270 | 270 | 44.5 | 270 | 270 | 270 | 0.2 | |
C102-50 | 300 | 1.1 | 300 | 0.3 | 300 | 300 | 300 | 65.4 | 290 | 290 | 290 | 0.2 | |
C103-50 | 320 | 23.0 | 320 | 0.3 | 320 | 320 | 320 | 69.0 | 310 | 310 | 310 | 0.4 | |
C104-50 | 340 | 81.4 | 340 | 0.3 | 330 | 340 | 340 | 80.7 | 340 | 340 | 340 | 0.4 | |
C105-50 | 300 | 0.0 | 300 | 0.3 | 300 | 300 | 300 | 45.2 | 300 | 300 | 300 | 0.2 | |
C106-50 | 280 | 0.0 | 280 | 0.2 | 280 | 280 | 280 | 39.7 | 280 | 280 | 280 | 0.2 | |
C107-50 | 310 | 0.0 | 310 | 0.2 | 310 | 310 | 310 | 53.8 | 310 | 310 | 310 | 0.2 | |
C108-50 | 320 | 0.2 | 320 | 0.3 | 320 | 320 | 320 | 42.7 | 320 | 320 | 320 | 0.2 | |
C109-50 | 340 | 0.9 | 340 | 0.2 | 340 | 340 | 340 | 41.7 | 340 | 340 | 340 | 0.3 | |
Avg CPU (s) | 11.8 | 0.3 | 53.6 | 0.3 | |||||||||
Adjusted CPU (s) | 0.1 | <11.8 | 0.1 | ||||||||||
R101-50 | 126 | 0.0 | 126 | 0.1 | 126 | 126 | 126 | 13.6 | 126 | 126 | 126 | 0.1 | |
R102-50 | 198 | 0.7 | 195 | 0.2 | 198 | 198 | 198 | 24.5 | 195 | 195 | 195 | 0.2 | |
R103-50 | 214 | 30.0 | 210 | 0.2 | 214 | 214 | 214 | 26.5 | 214 | 214 | 214 | 0.2 | |
R104-50 | 227 | 152.7 | 227 | 0.3 | 227 | 227 | 227 | 29.3 | 227 | 227 | 227 | 0.3 | |
R105-50 | 159 | 0.0 | 159 | 0.1 | 159 | 159 | 159 | 16.1 | 159 | 159 | 159 | 0.2 | |
R106-50 | 208 | 0.6 | 203 | 0.2 | 208 | 208 | 208 | 24.8 | 203 | 203 | 203 | 0.1 | |
R107-50 | 220 | 9.8 | 220 | 0.3 | 219 | 220 | 219.9 | 32.5 | 219 | 219 | 219 | 0.2 | |
R108-50 | 227 | 410.6 | 223 | 0.2 | 227 | 227 | 227 | 28.2 | 227 | 227 | 227 | 0.2 | |
R109-50 | 192 | 0.2 | 192 | 0.2 | 192 | 192 | 192 | 20.1 | 192 | 192 | 192 | 0.3 | |
R110-50 | 208 | 1.6 | 208 | 0.2 | 208 | 208 | 208 | 23.4 | 208 | 208 | 208 | 0.2 | |
R111-50 | 223 | 1.8 | 223 | 0.2 | 223 | 223 | 223 | 25.2 | 223 | 223 | 223 | 0.3 | |
R112-50 | 226 | 3.1 | 226 | 0.2 | 226 | 226 | 226 | 26.0 | 226 | 226 | 226 | 0.3 | |
Avg CPU (s) | 50.9 | 0.2 | 24.2 | 0.2 | |||||||||
Adjusted CPU (s) | 0.0 | <5.3 | 0.0 | ||||||||||
RC101-50 | 180 | 0.0 | 180 | 0.1 | 180 | 180 | 180 | 30.8 | 180 | 180 | 180 | 0.1 | |
RC102-50 | 230 | 0.7 | 230 | 0.2 | 230 | 230 | 230 | 32.8 | 230 | 230 | 230 | 0.1 | |
RC103-50 | 240 | 2.2 | 240 | 0.2 | 240 | 240 | 240 | 32.5 | 230 | 230 | 230 | 0.1 | |
RC104-50 | 270 | 6.1 | 270 | 0.2 | 260 | 270 | 266 | 38.3 | 250 | 250 | 250 | 0.2 | |
RC105-50 | 210 | 0.7 | 200 | 0.2 | 210 | 210 | 210 | 22.2 | 210 | 210 | 210 | 0.1 | |
RC106-50 | 210 | 0.8 | 200 | 0.2 | 210 | 210 | 210 | 33.9 | 200 | 200 | 200 | 0.1 | |
RC107-50 | 240 | 3.4 | 230 | 0.1 | 240 | 240 | 240 | 31.1 | 220 | 220 | 220 | 0.2 | |
RC108-50 | 250 | 9.3 | 240 | 0.2 | 250 | 250 | 250 | 33.8 | 240 | 240 | 240 | 0.2 | |
Avg CPU (s) | 2.9 | 0.2 | 31.9 | 0.1 | |||||||||
Adjusted CPU (s) | 0.0 | <7.0 | 0.0 | ||||||||||