Optimize Train Operation Plan of Urban Rail Transit Including Temporal Variation of Passenger Ridership During the Day

Yang Cai, Q. Luo, Wei Li, Lei Gong
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Abstract

Train operation plan is one of important components of the daily operation organization of the urban rail transit system. Dynamic train operation plans during different time periods to meet the needs of passenger travel can reduce train operation costs and improve economic benefits. Defining the total cost as a combination of the cost of passenger time value and the cost of train operation, this paper sets the minimum value of the total operating cost as the goal and establishes an optimization model for evaluating and choosing train operation plans. This optimization model is validated by an example of Shenzhen Metro Line 1 whose weekday peak train operation plan is investigated. Train operation alternative plans, i.e. small marshalling of trains, a combination of long-and-short routing, and connected routing, are evaluated with the optimization model. Lingo software is used to solve the mathematical problem to obtain the optimized the train operation plan, and making decisions based on the results provide a suitable driving organization. Meanwhile, sensitivity analysis is also implemented to check the influence of different values of parameters utilized in the calculation. The example shows that the small marshalling of trains alternative has a significant optimization benefit in the context of the Shenzhen Metro Line 1 whose working day evening peak train operation scheme is investigated.
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考虑白天客流量变化的城市轨道交通列车运行方案优化
列车运营计划是城市轨道交通系统日常运营组织的重要组成部分之一。为满足旅客出行需求,制定不同时间段的列车动态运行计划,可以降低列车运行成本,提高经济效益。本文将总成本定义为旅客时间价值成本与列车运营成本的组合,以总运营成本的最小值为目标,建立了列车运营方案评价与选择的优化模型。以深圳地铁1号线为例,对该优化模型进行了验证。利用优化模型对列车小编组方案、长短线组合方案和衔接方案进行了评价。利用Lingo软件求解数学问题,得到优化的列车运行方案,并根据结果进行决策,提供合适的驱动机构。同时,还进行了灵敏度分析,检查了计算中使用的参数不同值对计算结果的影响。算例表明,以深圳地铁1号线工作日晚高峰列车运行方案为例,列车小编组方案具有显著的优化效益。
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