Research Article
Bilevel Optimization for the Hazmat Transportation Problem with Lane Reservation
Table 8
Result of experiments with varied
, when
= 0.1,
= 0.1, and
= 0.7.
| Set | |N| | |A| | | Number of reserved lanes | | | Relative change in risk (%) | | |
| 31 | 20 | 126 | 5 | 7 | 1.500 | 1.815 | 54.745 | 0.517 | 0.261 | 32 | | | 10 | 11 | 2.095 | 3.935 | 65.255 | 1.174 | 0.258 | 33 | | | 15 | 17 | 2.919 | 5.215 | 64.115 | 1.875 | 0.234 | 16 | | | 20 | 21 | 5.154 | 6.905 | 57.260 | 1.617 | 0.207 | 34 | | | 25 | 22 | 6.405 | 10.520 | 62.156 | 1.947 | 0.218 | 35 | | | 30 | 28 | 7.129 | 10.774 | 60.178 | 2.389 | 0.282 |
| 36 | 30 | 286 | 5 | 8 | 2.075 | 1.871 | 54.745 | 0.331 | 0.313 | 37 | | | 10 | 10 | 2.390 | 2.607 | 65.255 | 0.534 | 0.225 | 38 | | | 15 | 16 | 3.034 | 3.910 | 64.115 | 1.305 | 0.240 | 17 | | | 20 | 22 | 5.252 | 6.424 | 57.260 | 1.434 | 0.236 | 39 | | | 25 | 24 | 7.713 | 10.197 | 62.156 | 2.156 | 0.258 | 40 | | | 30 | 33 | 10.959 | 13.341 | 60.178 | 2.221 | 0.245 |
| 41 | 40 | 526 | 5 | 7 | 1.624 | 1.633 | 50.129 | 0.362 | 0.295 | 42 | | | 10 | 13 | 3.004 | 3.443 | 53.407 | 0.952 | 0.315 | 43 | | | 15 | 19 | 3.004 | 4.180 | 58.182 | 1.329 | 0.262 | 18 | | | 20 | 23 | 4.937 | 8.213 | 62.458 | 1.925 | 0.270 | 44 | | | 25 | 31 | 5.802 | 7.994 | 57.946 | 2.045 | 0.286 | 45 | | | 30 | 35 | 7.250 | 9.489 | 56.690 | 2.301 | 0.259 |
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