Research Article
Multigraph Modeling for Urban Distribution of Emergency Commodities with Semisoft Time Windows under Uncertainty
Table 4
Comparison metrics for different size instances.
| Problem no. | Modified NSGA-II | Standard NSGA-II | NOS | SM | MID | QM | CPU time (s) | NOS | SM | MID | QM | CPU time (s) |
| 1 | 4 | 0.128 | 0.506 | 1 | 54.20 | 2 | 0.102 | 0.545 | 0.50 | 67.23 | 2 | 5 | 0.360 | 0.449 | 0.71 | 56.32 | 4 | 0.331 | 0.651 | 0.50 | 69.17 | 3 | 5 | 0.390 | 0.445 | 1 | 60.41 | 3 | 0.958 | 0.466 | 0.60 | 73.52 | 4 | 4 | 0.096 | 0.368 | 1 | 64.17 | 3 | 0.172 | 0.469 | 0.75 | 77.16 | 5 | 6 | 0.294 | 0.435 | 0.85 | 66.58 | 3 | 0.518 | 0.687 | 0.11 | 79.54 | 6 | 5 | 0.059 | 0.320 | 0.62 | 72.18 | 5 | 0.237 | 0.633 | 0.37 | 80.69 | 7 | 6 | 0.048 | 0.290 | 1 | 75.39 | 4 | 0.198 | 0.591 | 0.66 | 86.02 | 8 | 6 | 0.270 | 0.125 | 1 | 76.09 | 3 | 0.610 | 0.353 | 0.50 | 89.16 | 9 | 7 | 0.136 | 0.226 | 0.87 | 77.39 | 4 | 0.748 | 0.509 | 0.25 | 90.03 | 10 | 6 | 0.068 | 0.432 | 0.75 | 80.11 | 5 | 0.405 | 0.631 | 0.50 | 87.51 | 11 | 8 | 0.473 | 0.265 | 0.80 | 84.06 | 5 | 0.462 | 0.446 | 0.60 | 97.62 | 12 | 8 | 0.466 | 0.326 | 1 | 85.84 | 6 | 0.711 | 0.508 | 0.63 | 100.4 | 13 | 9 | 0.114 | 0.195 | 0.81 | 87.11 | 5 | 0.459 | 0.359 | 0.45 | 103.9 | 14 | 8 | 0.310 | 0.355 | 0.88 | 89.77 | 5 | 0.536 | 0.205 | 0.11 | 106.7 | 15 | 10 | 0.151 | 0.209 | 0.76 | 92.01 | 7 | 0.504 | 0.244 | 0.38 | 111.6 | 16 | 9 | 0.256 | 0.249 | 0.81 | 96.21 | 6 | 0.425 | 0.302 | 0.54 | 113.4 | 17 | 11 | 0.337 | 0.274 | 0.91 | 96.99 | 8 | 0.297 | 0.397 | 0.41 | 115.0 | 18 | 10 | 0.164 | 0.321 | 0.83 | 98.19 | 7 | 0.414 | 0.313 | 0.58 | 117.8 | 19 | 11 | 0.220 | 0.298 | 0.78 | 100.1 | 8 | 0.602 | 0.426 | 0.50 | 119.3 | 20 | 12 | 0.153 | 0.360 | 1 | 104.9 | 9 | 0.442 | 0.349 | 0.58 | 122.7 | 21 | 11 | 0.327 | 0.301 | 0.84 | 106.3 | 11 | 0.526 | 0.397 | 0.53 | 124.6 | 22 | 13 | 0.556 | 0.325 | 0.76 | 108.1 | 10 | 0.442 | 0.401 | 0.47 | 125.0 | 23 | 16 | 0.288 | 0.194 | 0.94 | 110.0 | 11 | 0.899 | 0.273 | 0.52 | 127.6 | 24 | 15 | 0.380 | 0.220 | 0.83 | 114.3 | 12 | 0.564 | 0.258 | 0.61 | 129.0 | 25 | 16 | 0.288 | 0.362 | 1 | 117.9 | 13 | 0.442 | 0.359 | 0.69 | 130.8 | Average | 8.84 | 0.253 | 0.314 | 0.87 | 86.98 | 6.360 | 0.480 | 0.430 | 0.49 | 101.81 |
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