Table 4 Results on the OPSTW test instances
From: Iterated local search algorithm for solving the orienteering problem with soft time windows
Instance | \((P_{max}, W_{max})\) | HILS | ||||||
|---|---|---|---|---|---|---|---|---|
Best | Worst | Average | CPU (s) | \(N_R\) | %HTW | Routed customers | ||
PR01 | (1.0, 5.0) | 323 | 323 | 323 | 0.4 | 19 | 94.7 | 9, 47, 24, 38, 30, 2, 37, 10, 45, 32, 21, 16, 36, 43, 31, 35, 34, 22, 7 |
(1.5, 5.0) | 322 | 322 | 322 | 0.4 | 19 | 84.2 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 16, 21, 23, 36, 43, 31, 35, 34, 22, 7 | |
(2.0, 5.0) | 329 | 329 | 329 | 0.4 | 20 | 85.0 | 9, 47, 24, 12, 38, 37, 10, 45, 11, 32, 23, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(2.5, 5.0) | 332 | 332 | 332 | 0.4 | 21 | 80.9 | 9, 47, 24, 12, 38, 37, 10, 45, 11, 32, 23, 21, 16, 36, 43, 31, 44, 35, 34, 22, 7 | |
(3.0, 5.0) | 333 | 333 | 333 | 0.4 | 21 | 80.9 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 41, 16, 21, 23, 36, 43, 31, 44, 35, 34, 22, 7 | |
(3.5, 5.0) | 337 | 337 | 337 | 0.4 | 21 | 76.2 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 11, 41, 16, 21, 23, 36, 43, 31, 35, 34, 22, 7 | |
(4.0, 5.0) | 338 | 338 | 338 | 0.2 | 21 | 80.9 | 9, 47, 24, 38, 12, 32, 37, 10, 45, 41, 1, 16, 21, 26, 23, 43, 31, 35, 34, 22, 7 | |
(4.5, 5.0) | 346 | 346 | 346 | 0.4 | 23 | 78.3 | 9, 47, 24, 38, 12, 32, 37, 10, 45, 41, 28, 1, 16, 21, 26, 36, 43, 31, 44, 35, 34, 22, 7 | |
(5.0, 5.0) | 338 | 338 | 338 | 0.4 | 20 | 75 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 41, 16, 21, 36, 43, 31, 42, 22, 34, 35, 7 | |
(1.0, 5.5) | 317 | 317 | 317 | 0.4 | 20 | 90.0 | 9, 47, 24, 38, 12, 32, 37, 10, 45, 16, 21, 26, 36, 43, 31, 44, 35, 34, 22, 7 | |
(1.5, 5.5) | 322 | 322 | 322 | 0.4 | 19 | 84.2 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 16, 21, 23, 36, 43, 31, 35, 34, 22, 7 | |
(2.0, 5.5) | 329 | 329 | 329 | 0.4 | 20 | 85.0 | 9, 47, 24, 12, 38, 37, 10, 45, 11, 32, 23, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(2.5, 5.5) | 332 | 332 | 332 | 0.4 | 21 | 80.9 | 9, 47, 24, 12, 38, 37, 10, 45, 11, 32, 23, 21, 16, 36, 43, 31, 44, 35, 34, 22, 7 | |
(3.0, 5.5) | 333 | 333 | 333 | 0.4 | 21 | 80.9 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 41, 16, 21, 23, 36, 43, 31, 44, 35, 34, 22, 7 | |
(3.5, 5.5) | 337 | 337 | 337 | 0.4 | 21 | 76.2 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 11, 41, 16, 21, 23, 36, 43, 31, 35, 34, 22, 7 | |
(4.0, 5.5) | 337 | 337 | 337 | 0.4 | 22 | 81.8 | 9, 47, 24, 38, 12, 32, 37, 10, 45, 41, 1, 16, 21, 26, 36, 43, 31, 44, 35, 34, 22, 7 | |
(4.5, 5.5) | 346 | 346 | 346 | 0.4 | 23 | 78.3 | 9, 47, 24, 38, 12, 32, 37, 10, 45, 41, 28, 1, 16, 21, 26, 36, 43, 31, 44, 35, 34, 22, 7 | |
(5.0, 5.5) | 338 | 338 | 338 | 0.4 | 20 | 75.0 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 41, 16, 21, 36, 43, 31, 42, 22, 34, 35, 7 | |
(1.0, 6.0) | 323 | 323 | 323 | 0.4 | 19 | 94.7 | 9, 47, 24, 38, 30, 2, 37, 10, 45, 32, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(1.5, 6.0) | 322 | 322 | 322 | 0.4 | 19 | 84.2 | 9, 47, 24, 38, 12, 32, 37, 10, 45, 16, 21, 23, 36, 43, 31, 35, 34, 22, 7 | |
(2.0, 6.0) | 329 | 329 | 329 | 0.4 | 20 | 85.0 | 9, 47, 24, 12, 38, 37, 10, 45, 11, 32, 23, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(2.5, 6.0) | 332 | 332 | 332 | 0.4 | 21 | 80.9 | 9, 47, 24, 12, 38, 37, 10, 45, 11, 32, 23, 21, 16, 36, 43, 31, 44, 35, 34, 22, 7 | |
(3.0, 6.0) | 333 | 333 | 333 | 0.4 | 21 | 80.9 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 41, 16, 21, 23, 36, 43, 31, 44, 35, 34, 22, 7 | |
(3.5, 6.0) | 337 | 337 | 337 | 0.4 | 21 | 76.2 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 11, 41, 16, 21, 23, 36, 43, 31, 35, 34, 22, 7 | |
(4.0, 6.0) | 337 | 337 | 337 | 0.4 | 22 | 81.8 | 9, 47, 24, 38, 12, 32, 37, 10, 45, 41, 1, 16, 21, 26, 36, 43, 31, 44, 35, 34, 22, 7 | |
(4.5, 6.0) | 346 | 346 | 346 | 0.4 | 23 | 78.3 | 9, 47, 24, 38, 12, 32, 37, 10, 45, 41, 28, 1, 16, 21, 26, 36, 43, 31, 44, 35, 34, 22, 7 | |
(5.0, 6.0) | 338 | 338 | 338 | 0.4 | 20 | 75 | 9, 47, 12, 38, 24, 32, 37, 10, 45, 41, 16, 21, 36, 43, 31, 42, 22, 34, 35, 7 | |
(1.0, 6.5) | 330 | 330 | 330 | 0.4 | 20 | 90.0 | 9, 47, 24, 38, 30, 2, 32, 37, 10, 45, 11, 36, 21, 16, 43, 31, 35, 34, 22, 7 | |
(1.5, 6.5) | 333 | 333 | 333 | 0.4 | 21 | 85.7 | 9, 47, 24, 38, 30, 2, 32, 37, 10, 45, 11, 36, 21, 16, 43, 31, 44, 35, 34, 22, 7 | |
(2.0, 6.5) | 336 | 336 | 336 | 0.4 | 21 | 76.2 | 9, 47, 24, 12, 38, 30, 2, 32, 37, 10, 45, 11, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(2.5, 6.5) | 338 | 338 | 338 | 0.4 | 21 | 80.9 | 9, 47, 24, 38, 30, 2, 32, 37, 10, 45, 11, 41, 36, 21, 16, 43, 31, 35, 34, 22, 7 | |
(3.0, 6.5) | 341 | 341 | 341 | 0.5 | 22 | 81.8 | 9, 47, 24, 38, 30, 2, 32, 37, 10, 45, 11, 41, 36, 21, 16, 43, 31, 44, 35, 34, 22, 7 | |
(3.5, 6.5) | 342 | 342 | 342 | 0.4 | 21 | 80.9 | 9, 47, 24, 38, 30, 2, 32, 37, 10, 45, 11, 36, 21, 16, 1, 43, 31, 35, 34, 22, 7 | |
(4.0, 6.5) | 342 | 342 | 342 | 0.4 | 21 | 80.9 | 9, 47, 24, 38, 30, 2, 32, 37, 10, 45, 11, 36, 21, 16, 1, 43, 31, 35, 34, 22, 7 | |
(4.5, 6.5) | 331 | 331 | 331 | 0.5 | 19 | 68.4 | 9, 47, 24, 38, 12, 32, 37, 10, 45, 21, 29, 8, 16, 43, 44, 35, 34, 22, 7 | |
(5.0, 6.5) | 348 | 348 | 348 | 0.5 | 21 | 66.7 | 9, 47, 24, 12, 38, 30, 2, 32, 37, 45, 11, 10, 42, 21, 16, 43, 31, 35, 34, 22, 7 | |
(1.0, 7.0) | 330 | 330 | 330 | 0.4 | 20 | 95.0 | 9, 24, 47, 38, 30, 2, 32, 37, 10, 45, 11, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(1.5, 7.0) | 333 | 333 | 333 | 0.4 | 21 | 95.2 | 9, 24, 47, 38, 30, 2, 32, 37, 10, 45, 11, 21, 16, 36, 43, 31, 44, 35, 34, 22, 7 | |
(2.0, 7.0) | 337 | 337 | 337 | 0.4 | 21 | 85.7 | 9, 24, 47, 12, 38, 30, 2, 32, 37, 10, 45, 41, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(2.5, 7.0) | 336 | 336 | 336 | 0.4 | 22 | 77.3 | 9, 24, 47, 12, 38, 30, 2, 32, 11, 45, 10, 41, 21, 16, 36, 43, 31, 44, 35, 34, 22, 7 | |
(3.0, 7.0) | 344 | 344 | 344 | 0.4 | 22 | 81.1 | 9, 24, 47, 12, 38, 30, 2, 32, 37, 10, 11, 45, 41, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(3.5, 7.0) | 337 | 337 | 337 | 0.2 | 21 | 76.2 | 9, 24, 12, 38, 47, 32, 37, 10, 45, 11, 2, 23, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(4.0, 7.0) | 329 | 329 | 329 | 0.4 | 20 | 70.0 | 24, 47, 30, 9, 10, 37, 45, 11, 32, 2, 23, 21, 16, 36, 43, 31, 35, 34, 22, 7 | |
(4.5, 7.0) | 330 | 330 | 330 | 0.4 | 19 | 78.9 | 9, 24, 47, 12, 38, 32, 37, 45, 10, 21, 16, 36, 43, 31, 42, 22, 35, 34, 7 | |
(5.0, 7.0) | 348 | 348 | 348 | 0.4 | 21 | 71.4 | 9, 24, 47, 12, 38, 30, 2, 32, 37, 11, 45, 10, 42, 21, 16, 43, 31, 35, 34, 22, 7 | |