China Safety Science Journal ›› 2025, Vol. 35 ›› Issue (12): 44-52.doi: 10.16265/j.cnki.issn1003-3033.2025.12.0263
• Safety engineering technology • Previous Articles Next Articles
WEI Ming1,2,3(
), GAO Anming1, ZHANG Xiaoxiao2
Received:2025-06-10
Revised:2025-10-10
Online:2025-12-28
Published:2026-06-28
CLC Number:
WEI Ming, GAO Anming, ZHANG Xiaoxiao. Improved dung beetle optimizer algorithm for solving aircraft rerouting route planning under thunderstorm conditions[J]. China Safety Science Journal, 2025, 35(12): 44-52.
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Table 2
Comparison results between MSDBO and classical optimization algorithms
| 测试函数 | 统计值 | MSDBO | DBO | GWO | PSO | MPA |
|---|---|---|---|---|---|---|
| F1 | 标准差 | 0.00 | 1.13×10-128 | 7.89×10-33 | 1 568.27 | 3.13×10-5 |
| 平均值 | 0.00 | 2.06×10-129 | 3.99×10-33 | 2.87×10-5 | 5.87×10-30 | |
| F2 | 标准差 | 0.00 | 1.17×10-120 | 3.84×10-36 | 6.09×10-4 | 1.64×10-8 |
| 平均值 | 0.00 | 2.13×10-90 | 2.08×10-7 | 4.63×10-5 | 2.91×10-6 | |
| F3 | 标准差 | 0.00 | 9.04×10-127 | 6.79×10-35 | 80.52 | 4.20×10-7 |
| 平均值 | 0.00 | 1.65×10-127 | 5.33×10-28 | 2.01×10-4 | 1.13×10-25 | |
| F4 | 标准差 | 7.46×10-9 | 3.60×10-1 | 2.00×10-1 | 7.78 | 2.02×10-7 |
| 平均值 | 4.09×10-9 | 3.34×10-1 | 1.23 | 2.46 | 2.61×10-1 | |
| F5 | 标准差 | 4.52×10-16 | 4.52×10-16 | 1.68×10-8 | 4.52×10-16 | 4.52×10-16 |
| 平均值 | -1.03 | -9.23×10-1 | -8.32×10-1 | -8.76×10-1 | -9.89×10-1 | |
| F6 | 标准差 | 6.35×10-17 | 6.35×10-17 | 1.47×10-7 | 6.60×10-17 | 2.20×10-6 |
| 平均值 | 2.90×10-1 | 3.50×10-1 | 3.20×10-1 | 3.10×10-1 | 3.10×10-1 |
Table 3
p value of Wilcoxon rank-sum test
| 测试函数 | DBO | GWO | PSO | MPA |
|---|---|---|---|---|
| F1 | 1.212×10-12 | 1.212×10-12 | 1.212×10-12 | 1.212×10-12 |
| F2 | 1.212×10-12 | 1.212×10-12 | 1.212×10-12 | 1.212×10-12 |
| F3 | 1.212×10-12 | 1.212×10-12 | 1.212×10-12 | 1.212×10-12 |
| F4 | 3.020×10-11 | 3.020×10-11 | 3.020×10-11 | 3.020×10-11 |
| F5 | 3.337×10-2 | 3.337×10-2 | 6.552×10-12 | 3.337×10-2 |
| F6 | 1.212×10-12 | 1.212×10-12 | 1.212×10-12 | 1.212×10-12 |
| +/=/- | 6/0/0 | 6/0/0 | 6/0/0 | 6/0/0 |
Table 4
Performance of different algorithms to solve rerouting paths
| 算法 | 平均迭代 次数 | 平均目标 值/min | MSDBO目标值 占比/% | MSDBO收敛迭代 次数占比/% | 油耗成 本/kg | 里程/km |
|---|---|---|---|---|---|---|
| MSDBO | 32 | 85 | 100 | 100 | 4 139 | 932.11 |
| DBO | 85 | 124 | 68.3 | 37.6 | 6 126 | 1 212.14 |
| GWO | 73 | 105 | 80.8 | 43.8 | 5 166 | 1 050.12 |
| PSO | 45 | 148 | 57.2 | 71.1 | 7 444 | 1 176.80 |
| MPA | 40 | 105 | 80.5 | 80.0 | 5 180 | 1 070.31 |
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