基于模糊机会约束规划和鲁棒优化的绿色多式联运路径优化研究  

Research on green multimodal transportation route optimization based on fuzzy chance-constrained programming and robust optimization

作　　者：柳伍生[1] 肖必弘 LIU Wu-sheng;XIAO Bi-hong(School of Traffic and Transportation Engineering,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学交通运输工程学院,湖南长沙410114

出　　处：《长沙理工大学学报（自然科学版）》2022年第1期96-104,共9页Journal of Changsha University of Science and Technology:Natural Science

基　　金：湖南省自然科学基金资助项目(2019JJ40306);长沙理工大学道路灾变防治及交通安全教育部工程研究中心开放基金资助项目(kfj180401)。

摘　　要：【目的】探究在运输时间、中转时间、等待时间和运输货损率混合不确定条件下的绿色多式联运路径优化问题,为绿色多式联运路径决策提供理论依据。【方法】在考虑运输过程中碳排放和噪声污染的基础上,以最小化运输成本、运输时间、碳排放量、噪声污染以及货损量为目标建立不确定条件下的绿色多式联运路径优化模型,并将其扩展为模糊机会约束模型及鲁棒优化模型来处理不确定参数。使用MATLAB编程并调用CPLEX对算例进行求解,得到多式联运路径优化方案。对置信水平进行灵敏度分析,并将鲁棒解与确定条件下的最优解进行比较,验证所建模型的鲁棒性。【结果】将优化方案的计算结果与5个目标函数的最优值进行比较后发现:由模型所得最优运输方案的计算结果与各目标函数最优值之间的相对距离分别为0.0964、0.0271、0.1946、0.0184、0.0327,均接近最优值。【结论】本研究所建模型能降低多式联运的决策风险,也能为决策提供合理、有效的依据。[Purposes]The paper explored the problem of green multimodal transportation route optimization under mixed uncertainties of the transport time,transit time,waiting time and freight damage rate to provide theoretical basis for green multimodal transport route decision.[Methods]Based on the consideration of carbon emission and noise pollution in the transport process,aiming to minimize transportation cost,transportation time,carbon emission,noise pollution and cargo damage,a green multimodal transportation route optimization model under uncertainties was established,and the uncertain parameters were processed by extending the model to fuzzy chance-constrained model and robust optimization model.Programming with MATLAB and calling CPLEX to solve the example,the multimodal transportation route optimization scheme was obtained.The sensitivity of the confidence level was analyzed and the robust solution was compared with the optimal solution under certainties to verify the robustness of the model.[Findings]The comparison between calculation results of the optimization scheme and the optimal values of the five objective functions shows that the relative distances between the calculation results of the optimal transport scheme and the optimal values of the objective functions are 0.0964,0.0271,0.1946,0.0184 and 0.0327 respectively,namely,the calculation results are close to the optimal values.[Conclusions]The model proposed in the paper can reduce the decision-making risk and provide reasonable and effective basis for decision-making.

关 键 词：绿色多式联运 路径优化模型 模糊机会约束规划 鲁棒优化模型 

分 类 号：U116.2[交通运输工程]