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探讨了一类新型的不确定性危险品专用道优化设置问题，其中路段通行时间存在不确定性，且仅已知其部分分布信息，即均值和协方差矩阵。通过在交通网络中合理设置危险品专用道，以最大限度地提升危险品运输准时率，同时尽可能地减少专用道设置对正常交通的负面影响。基于二阶矩模糊集，构建了一个危险品专用道多目标分布鲁棒优化设置模型，并证明了其NP-难特性。基于蒙特卡洛模拟思想，通过生成有限数量的样本来估计不确定参数，提出了一种基于ε-约束的场景建模方法。该方法通过引入新参数和变量，并结合场景模拟对原问题进行保守近似，从而将原问题转化为可由商业求解器(如CPLEX)直接处理的形式。为全面评估所提出的问题与方法，设计了(样本外)准时率指标。大量随机算例验证了该方法的有效性，并表明其能够提供高质量的近似帕累托解。
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(1)任常兴、吴宗之：《危险品道路安全运输路径优化方法探讨》，《中国安全科学学报》2006年第6期。
(2)王健、方佳林：《加快福建省现代物流发展的思考》，《福州大学学报》（哲学社会科学版）2004年第1期。
(3) Mohri S. S., Mohammadi M., Gendreau M., et al．“Hazardous material transportation problems:A comprehensiveoverview of models and solution approaches”,European Journal of Operational Research, vol.302,no.1(2022),pp.1-38.
(4) Fang Y. F., Chu F., Mammar S., et al．，“Optimal lane reservation in transportation network”,IEEE Transactions on Intelligent Transportation Systems, vol.13,no.2(2011),pp.482-491;Wu P., Chu F., Che A., et al．，“A bus lane reser-vation problem in urban bus transit network”, 17th International IEEE Conference on Intelligent Transportation Systems(ITSC). IEEE,(2014),pp.2864-2869;Wu P., Wang Y., Cheng J., et al．，“A biobjective optimization for integrated paral-lel machine scheduling and location problem:Mathe-matical model and iterative two-stage heuristic”,IEEE Transactions on Systems,Man,and Cybernetics:Systems, vol.53,no.11(2023),pp.6897-6908.
基本信息:
DOI：
中图分类号:U492.336.3
引用信息:
[1]韩丽莎,吴鹏,储诚斌.基于分布鲁棒优化的多目标危险品专用道设置问题[J].福州大学学报(哲学社会科学版),2025,39(02):63-71.
基金信息:
国家自然科学基金“考虑人员技能匹配的多资源可重入混合流水车间调度优化研究”(71871159)