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A Two-Step Linear Programming Model for Energy-Efficient Timetables in Metro Railway Networks

机译:一种节能时间表的两步线性规划模型   地铁铁路网

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摘要

In this paper we propose a novel two-step linear optimization model tocalculate energy-efficient timetables in metro railway networks. The resultanttimetable minimizes the total energy consumed by all trains and maximizes theutilization of regenerative energy produced by braking trains, subject to theconstraints in the railway network. In contrast to other existing models, whichare NP-hard, our model is computationally the most tractable one being a linearprogram. We apply our optimization model to different instances of servicePES2-SFM2 of line 8 of Shanghai Metro network spanning a full service period ofone day (18 hours) with thousands of active trains. For every instance, ourmodel finds an optimal timetable very quickly (largest runtime being less than13s) with significant reduction in effective energy consumption (the worst casebeing 19.27%). Code based on the model has been integrated with ThalesTimetable Compiler - the industrial timetable compiler of Thales Inc that hasthe largest installed base of communication-based train control systemsworldwide.
机译:在本文中,我们提出了一种新颖的两步线性优化模型来计算地铁铁路网的节能时间表。最终的时间表将所有列车消耗的总能量降至最低,并在铁路网络受约束的情况下,最大限度地利用制动列车产生的再生能量。与其他现有的NP难模型相比,我们的模型在计算上最易处理的模型是线性程序。我们将优化模型应用于上海地铁8号线的servicePES2-SFM2的不同实例,该实例跨越了一天的完整服务时间(18小时),并有成千上万条在用列车。对于每个实例,我们的模型都能非常快速地找到最佳时间表(最大运行时间少于13秒),并且有效能耗显着降低(最坏情况为19.27%)。基于该模型的代码已与ThalesTimetable Compiler集成在一起,后者是Thales Inc.的工业时间表编译器,它是全球基于通信的火车控制系统的最大安装基础。

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