面向客货混编的吊挂式低速磁浮列车时刻表优化OA
Timetable Optimization for Suspended Low-Speed Maglev Trains with Passenger-Freight Mixed Operation
吊挂式低速磁浮是一种面向城市内部的新型轨道交通方式,能实现客货车厢的灵活组编,具备"宜客宜货"的运输特点.为提升其运输效率,综合考虑客货运需求的时效性差异与货物装卸对停站时长的影响,开展列车时刻表优化研究.研究以乘客等待时间、货物交付延误及未运输货物量综合最小为目标,考虑列车到发站时刻约束、时刻表关联约束、列车编组约束、容量约束、货物总量约束与货物装卸约束,构建了客货协同运输时刻表非线性优化模型.为高效求解该模型,对时间动态索引集、Max函数及二次项实施线性化处理,将模型转为混合整数规划模型.小规模与大规模算例表明:相较于单一客运场景,优化方案分别降低乘客平均等待时间8.5%和15.8%;同时,实现了257个及368个货物集装器的运输任务,从而为磁浮列车运营计划的制定与优化提供参考.
Suspended low-speed maglev is a novel urban rail transit mode that enables the flexible coupling of passenger and freight carriages,offering a dual-purpose transport characteristic suitable for both passengers and goods.To enhance its transport efficiency,this paper investigated the train timetable optimization problem by considering the timeliness differences between passenger and freight demands and the impact of freight handling on station dwell time.A nonlinear optimization model for coordinated passenger-freight timetabling was developed,aiming to minimize the weighted sum of passenger waiting time,freight delivery delay,and unfulfilled freight volume.The model incorporated constraints related to train arrival and departure times,timetable coordination,train formation,train capacity,total freight volume,and freight handling operations.To solve the model efficiently,linearization techniques were applied to the time-indexed sets,max functions,and quadratic terms,transforming the model into a mixed-integer programming model.Small-scale and large-scale case studies demonstrate that,compared to a passenger-only operation scenario,the optimized scheme reduces the average passenger waiting time by 8.5%and 15.8%,respectively,while accomplishing the transport of 257 and 368 freight containers.The results provide a practical reference for the formulation and optimization of maglev train operation plans.
张旭炳;康柳江;朱晓宁;赖晴鹰;柏吴;肖子昊
北京交通大学 交通运输学院,北京 100044北京交通大学 系统科学学院,北京 100044北京交通大学 交通运输学院,北京 100044北京交通大学 交通运输学院,北京 100044北京交通大学 交通运输学院,北京 100044北京交通大学 机械与电子控制工程学院,北京 100044
交通工程
吊挂式低速磁浮列车时刻表客货混编灵活编组流量控制
Suspended Low-Speed MaglevTrain TimetablePassenger-Freight Mixed OperationFlexible FormationFlow Control
《铁道运输与经济》 2026 (4)
72-83,12
中央高校基本科研业务费项目(2024XKRC049)
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