Research Article
Allocating Cost to Shippers in Pickup and Delivery Service
Table 6
Results of the random instances from 1 to 20.
| | Instance | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| | Pre-collaboration costs | 76.3 | 143.9 | 355.2 | 282.3 | 224.8 | 168.9 | 86.4 | 593.5 | 632.5 | 638.6 | | 88.6 | 147.7 | 125.1 | 311.8 | 271.1 | 359.0 | 141.0 | 743.1 | 808.1 | 614.8 | | 133.3 | 147.3 | 118.4 | 266.3 | 203.5 | 252.9 | 136.0 | 114.0 | 129.5 | 83.0 | | 95.5 | 173.9 | 118.8 | 256.4 | 262.8 | 315.6 | 119.1 | 394.3 | 422.3 | 401.1 | | Post-collaboration costs | 171.0 | 306.0 | 439.3 | 524.7 | 347.8 | 502.7 | 176.0 | 1050.8 | 1097.3 | 1038.3 | | Cost collaboration of Shapley | 32.9 | 62.9 | 298.1 | 155.6 | 81.6 | 50.3 | 26.0 | 366.9 | 363.7 | 450.1 | | 36.2 | 57.0 | 50.4 | 179.2 | 108.4 | 183.1 | 55.3 | 446.3 | 516.8 | 390.1 | | 61.9 | 68.1 | 41.9 | 92.5 | 65.6 | 96.9 | 55.5 | 54.8 | 53.0 | 43.7 | | 40.0 | 118.0 | 48.9 | 97.4 | 92.2 | 172.4 | 39.2 | 182.8 | 163.8 | 154.4 | | Cost collaboration of Nucleolus | 35.9 | 58.2 | 301.9 | 169.0 | 92.0 | 68.4 | 40.0 | 273.1 | 505.8 | 580.0 | | 33.9 | 47.9 | 46.5 | 187.5 | 92.4 | 163.2 | 47.8 | 370.4 | 403.9 | 289.1 | | 75.4 | 67.0 | 38.9 | 73.4 | 77.8 | 98.0 | 52.7 | 63.5 | 72.1 | 53.7 | | 25.8 | 132.9 | 52.0 | 94.8 | 85.6 | 173.1 | 35.5 | 343.8 | 115.5 | 115.6 | | Cost collaboration of EPM | 33.1 | 71.8 | 217.5 | 132.6 | 81.3 | 77.4 | 31.5 | 338.1 | 348.3 | 381.6 | | 38.5 | 73.8 | 76.6 | 146.5 | 98.0 | 164.6 | 51.4 | 423.2 | 445.1 | 367.4 | | 57.9 | 73.6 | 72.5 | 125.2 | 73.5 | 116.0 | 49.6 | 64.9 | 71.3 | 49.6 | | 41.5 | 86.8 | 72.7 | 120.4 | 95.0 | 144.7 | 43.5 | 224.6 | 232.6 | 239.7 | | Cost collaboration of LCAM | 36.7 | 64.3 | 261.4 | 157.1 | 81.7 | 60.3 | 23.8 | 342.3 | 338.5 | 415.4 | | 35.5 | 56.6 | 63.7 | 178.2 | 113.1 | 176.0 | 57.2 | 394.8 | 459.2 | 373.8 | | 57.2 | 67.3 | 54.9 | 92.2 | 64.3 | 95.5 | 58.1 | 102.7 | 125.7 | 62.2 | | 41.6 | 117.8 | 59.3 | 97.2 | 88.7 | 170.9 | 36.9 | 211.0 | 173.9 | 186.9 |
| | Instance | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| | Pre-collaboration costs | 533.2 | 241.5 | 675.2 | 202.7 | 109.1 | 134.6 | 288.8 | 619.1 | 291.8 | 467.7 | | 547.6 | 227.0 | 483.5 | 26.4 | 202.5 | 140.1 | 134.6 | 575.2 | 62.5 | 289.9 | | 578.6 | 417.6 | 279.2 | 211.1 | 394.0 | 189.6 | 301.3 | 758.5 | 234.9 | 421.6 | | 268.4 | 200.1 | 285.5 | 389.2 | 303.4 | 159.0 | 356.3 | 832.0 | 258.7 | 201.5 | | Post-collaboration costs | 820.3 | 549.7 | 838.5 | 444.6 | 608.0 | 244.9 | 422.1 | 1002.1 | 338.0 | 758.2 | | Cost collaboration of Shapley | 252.0 | 107.5 | 371.7 | 80.1 | 52.1 | 47.6 | 106.9 | 177.2 | 126.1 | 333.7 | | 205.1 | 78.3 | 201.1 | 10.0 | 95.2 | 48.2 | 49.8 | 166.6 | 20.7 | 113.3 | | 261.5 | 297.8 | 107.4 | 102.8 | 269.2 | 95.3 | 106.7 | 247.8 | 96.7 | 229.7 | | 101.7 | 66.2 | 158.3 | 251.7 | 191.5 | 53.8 | 158.7 | 410.5 | 94.5 | 81.5 | | Cost collaboration of Nucleolus | 279.8 | 105.1 | 392.3 | 178.3 | 73.9 | 55.2 | 163.8 | 192.5 | 207.9 | 367.7 | | 142.9 | 69.9 | 110.8 | 14.3 | 82.4 | 47.5 | 75.3 | 193.5 | 34.2 | 94.5 | | 226.8 | 306.6 | 135.7 | 79.6 | 265.3 | 96.1 | 67.0 | 200.3 | 62.1 | 182.1 | | 170.8 | 68.1 | 199.7 | 172.4 | 186.4 | 46.1 | 116.0 | 415.8 | 33.8 | 113.9 | | Cost collaboration of EPM | 226.9 | 122.2 | 328.5 | 108.6 | 65.8 | 52.9 | 112.7 | 222.8 | 116.3 | 256.8 | | 233 | 114.9 | 235.3 | 14.1 | 122.0 | 55.0 | 52.6 | 207.0 | 24.9 | 159.2 | | 246.2 | 211.3 | 135.8 | 113.2 | 237.4 | 74.5 | 117.7 | 273.0 | 93.6 | 231.5 | | 114.2 | 101.3 | 138.9 | 208.7 | 182.8 | 62.5 | 139.1 | 299.3 | 103.2 | 110.7 | | Cost collaboration of LCAM | 258.4 | 109.9 | 348.0 | 89.1 | 82.1 | 49.0 | 105.5 | 145.3 | 116.6 | 310.9 | | 192.8 | 79.7 | 197.1 | 17.3 | 109.4 | 47.8 | 69.7 | 145.3 | 52.4 | 125.1 | | 254.3 | 283.1 | 113.2 | 109.1 | 240.2 | 97.9 | 97.1 | 225.5 | 87.9 | 219.9 | | 114.8 | 77 | 180.3 | 229.1 | 176.3 | 50.2 | 149.8 | 486.0 | 81.1 | 102.3 |
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