Research Article
Exact Algorithm for the Capacitated Team Orienteering Problem with Time Windows
Table 1
Computational results of Garcia et al.’s [
31] instances with two players.
| Instance information | Previous algorithm | Proposed algorithm | Name | | | | ILS | GRILS | RUB | UB | LB | CT |
| c101 | 100 | 614 | 590 | 580 | 590 | 590 | 590 | 590 | 0.5 | c102 | 100 | 801 | 650 | 650 | 650 | 660 | 660 | 660 | 30.3 | c103 | 100 | 727 | 710 | 710 | 690 | 724.737 | 720 | 720 | 651.0 | c104 | 100 | 624 | 760 | 760 | 740 | 763.333 | 760 | 760 | 2494.4 | c105 | 100 | 656 | 640 | 640 | 640 | 640 | 640 | 640 | 2.0 | c106 | 100 | 604 | 620 | 620 | 620 | 620 | 620 | 620 | 12.9 | c107 | 100 | 648 | 670 | 660 | 670 | 670 | 670 | 670 | 17.1 | c108 | 100 | 641 | 680 | 680 | 680 | 680 | 680 | 680 | 23.9 | c109 | 100 | 788 | 710 | 710 | 710 | 720 | 720 | 720 | 37.4 | r101 | 100 | 380 | 341 | 322 | 344 | 344 | 344 | 344 | 0.2 | r102 | 100 | 684 | 501 | 508 | 504 | 508 | 508 | 508 | 57.2 | r103 | 100 | 566 | 513 | 512 | 515 | 518.5 | 517 | 517 | 2698.3 | r104 | 100 | 639 | 531 | 538 | 527 | 548 | 548 | 548 | 346.1 | r105 | 100 | 587 | 430 | 434 | 438 | 438 | 438 | 438 | 1.2 | r106 | 100 | 645 | 529 | 529 | 521 | 529 | 529 | 529 | 361.3 | r107 | 100 | 566 | 527 | 523 | 523 | 531 | 531 | 531 | 1657.2 | r108 | 100 | 639 | 534 | 539 | 538 | 555 | 555 | 555 | 4749.4 | r109 | 100 | 735 | 506 | 498 | 499 | 506 | 506 | 506 | 7.3 | r110 | 100 | 738 | 506 | 519 | 510 | 523 | 523 | 523 | 27.9 | r111 | 100 | 737 | 535 | 536 | 540 | 544 | 544 | 544 | 83.6 | r112 | 100 | 776 | 522 | 513 | 524 | 544 | 544 | 544 | 464.8 | rc101 | 100 | 557 | 421 | 427 | 427 | 427 | 427 | 427 | 0.3 | rc102 | 100 | 650 | 487 | 497 | 499 | 505 | 505 | 505 | 3.5 | rc103 | 100 | 527 | 512 | 501 | 510 | 520 | 520 | 520 | 6.3 | rc104 | 100 | 531 | 551 | 556 | 552 | 564 | 564 | 564 | 149.0 | rc105 | 100 | 592 | 451 | 448 | 469 | 480 | 480 | 480 | 1.0 | rc106 | 100 | 600 | 464 | 462 | 478 | 483 | 483 | 483 | 3.3 | rc107 | 100 | 531 | 520 | 516 | 506 | 526 | 526 | 526 | 23.2 | rc108 | 100 | 527 | 540 | 526 | 526 | 551 | 551 | 551 | 53.2 | pr01 | 48 | 506 | 481 | 489 | 496 | 502 | 502 | 502 | 77.5 | pr02 | 96 | 1001 | 685 | 654 | 672 | 0 | 0 | 0 | 7200.0 | pr03 | 144 | 1380 | 692 | 701 | 700 | 0 | 0 | 0 | 7200.0 | pr04 | 192 | 2523 | 880 | 872 | 836 | 0 | 0 | 0 | 7200.0 | pr05 | 240 | 3925 | 1031 | 1002 | 965 | 0 | 0 | 0 | 7200.0 | pr06 | 288 | 4198 | 992 | 952 | 888 | 0 | 0 | 0 | 7200.0 | pr07 | 72 | 585 | 560 | 547 | 557 | 0 | 0 | 0 | 7200.0 | pr08 | 144 | 1904 | 809 | 774 | 794 | 0 | 0 | 0 | 7200.0 | pr09 | 216 | 2967 | 819 | 828 | 795 | 0 | 0 | 0 | 7200.0 | pr10 | 288 | 4033 | 1037 | 998 | 955 | 0 | 0 | 0 | 7200.0 |
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