Research Article
Bilevel Optimization for the Hazmat Transportation Problem with Lane Reservation
Table 10
Result of experiments with varied
, when
= 20,
= 0.1, and
= 0.7.
| Set | |N| | |A| | β | Number of reserved lanes | | | /number of reserved lanes | | |
| 16 | 20 | 126 | 0.1 | 21 | 5.146 | 6.913 | 0.329 | 1.632 | 0.208 | 46 | | | 0.12 | 21 | 5.992 | 6.066 | 0.292 | 1.430 | 0.268 | 47 | | | 0.14 | 21 | 6.801 | 5.257 | 0.253 | 1.264 | 0.328 | 48 | | | 0.16 | 21 | 7.607 | 4.451 | 0.213 | 1.119 | 0.389 | 49 | | | 0.18 | 21 | 8.667 | 3.391 | 0.163 | 0.801 | 0.459 | 50 | | | 0.2 | 19 | 9.495 | 2.563 | 0.138 | 0.628 | 0.519 |
| 17 | 30 | 286 | 0.1 | 22 | 5.248 | 6.429 | 0.290 | 1.421 | 0.234 | 51 | | | 0.12 | 23 | 5.890 | 5.787 | 0.252 | 1.400 | 0.237 | 52 | | | 0.14 | 23 | 6.642 | 5.035 | 0.218 | 1.372 | 0.239 | 53 | | | 0.16 | 24 | 7.131 | 4.546 | 0.192 | 1.341 | 0.243 | 54 | | | 0.18 | 24 | 7.852 | 3.824 | 0.159 | 1.342 | 0.244 | 55 | | | 0.2 | 20 | 8.651 | 3.025 | 0.154 | 1.158 | 0.247 |
| 18 | 40 | 526 | 0.1 | 23 | 4.893 | 8.257 | 0.357 | 1.941 | 0.269 | 56 | | | 0.12 | 22 | 5.585 | 7.565 | 0.337 | 1.762 | 0.267 | 57 | | | 0.14 | 21 | 6.448 | 6.702 | 0.315 | 1.582 | 0.280 | 58 | | | 0.16 | 22 | 7.154 | 5.996 | 0.276 | 1.509 | 0.294 | 59 | | | 0.18 | 22 | 7.827 | 5.323 | 0.243 | 1.355 | 0.296 | 60 | | | 0.2 | 20 | 8.504 | 4.646 | 0.238 | 1.198 | 0.298 |
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