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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