北京交通大学学报2025，Vol.49Issue(1)：55-70,16.DOI:10.11860/j.issn.1673-0291.20240093
混合不确定条件下低碳多式联运路径模糊鲁棒优化
Fuzzy robust optimization of low-carbon multimodal transport paths under mixed uncertainty
摘要
Abstract
In addressing the impact of various uncertain factors,including transport time and freight volume,on multimodal transport path selection,a fuzzy robust regret model is proposed.This model integrates fuzzy opportunity constraint programming and robust optimization to comprehensively manage uncertain variables.First,triangular fuzzy numbers are used to represent the uncertainty in transport time parameters,while the robust optimization scenario method is applied to handle fluctuations in freight volume.Hybrid time window constraints are introduced,and fuzzy time parameters are clarified using fuzzy opportunity constraint program-ming.The model optimizes total cost,total carbon emissions,and total time as its objectives.Subsequently,to improve the convergence quality of the algorithm and maintain population diversity,an improved adaptive Non-dominated Sorting Genetic Algorithm Ⅱ(NSGA-Ⅱ)is designed with local optimization strategies.The algorithm's performance is compared across four practical multimodal transport scenarios with different node sizes.Finally,a complex virtual example is used to validate the model and analyze the robustness of the solution in response to uncertainty.The results demonstrate that,in comparison with the conventional NSGA-Ⅱ,the improved daptive NSGA-Ⅱ exhibits superior performance in the two objectives of total cost and total carbon emission as node size increases.When the node network reaches 30,the adaptability of the two objectives experiences a decline by 25.22%and 26.39%,respectively.The robust solution obtained from the model can effectively adapt to an uncertain transportation environment and changes in the decision maker's preferences.Multimodal transportation decision makers need to comprehensively consider the im-pact of uncertain factors,select appropriate regret values and confidence levels for fuzzy parameters,and achieve transportation solutions that align with their preferences.关键词
交通运输规划与管理/低碳多式联运/鲁棒优化/混合不确定/改进自适应NSGA-ⅡKey words
transportation planning and management/low-carbon multimodal transport/robust optimi-zation/mixed uncertainty/improved adaptive NSGA-Ⅱ分类
交通运输引用本文复制引用
徐国权,郑瑞,袁韶秋,熊典祯..混合不确定条件下低碳多式联运路径模糊鲁棒优化[J].北京交通大学学报,2025,49(1):55-70,16.基金项目
江西省2023年智库研究年度重点项目(23ZK12) （23ZK12）
江西省重点研发计划(20223BBE51038) Jiangxi Province Think Tank Research Annual Key Project(23ZK12) （20223BBE51038）
Jiangxi Province Key R&D Plan(20223BBE51038) （20223BBE51038）
