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A comparison of two exact methods for passenger railway rolling stock (re)scheduling

机译:客运铁路车辆(再)调度两种精确方法的比较

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摘要

The assignment of rolling stock units to timetable services in passenger railways is an important optimization problem that has been addressed by many papers in different forms. Solution approaches have been proposed for different planning phases: strategic, tactical, operational, and real-time planning. In this paper we compare two approaches within the operational and real-time planning phase. The first exact approach is based on a known Mixed Integer Linear Program (MILP) which is solved using CPLEX. The second approach is a new method that is an extension of a recently introduced MILP, which is solved using a column and row generation approach. In this paper, we benchmark the performance of the methods on networks of two countries (Denmark and The Netherlands). We use the approaches to make daily schedules and we test their real time applicability by performing tests with different disruption scenarios. The computational experiments demonstrate that both models can be used on both networks and are able to find optimal rolling stock circulations in the different planning phases. Furthermore, the results show that both approaches are sufficiently fast to be used in a real-time setting.
机译:铁路客运车辆的时间表服务分配是一个重要的优化问题,许多论文都以不同的形式解决了这一问题。已经针对不同的计划阶段提出了解决方案:战略,战术,运营和实时计划。在本文中,我们比较了运营和实时计划阶段的两种方法。第一种精确方法是基于使用CPLEX解决的已知混合整数线性程序(MILP)。第二种方法是一种新方法,它是最近引入的MILP的扩展,它使用列和行生成方法来解决。在本文中,我们在两个国家(丹麦和荷兰)的网络上对这些方法的性能进行了基准测试。我们使用这些方法制定日常计划,并通过在不同的中断场景下进行测试来测试其实时适用性。计算实验表明,两个模型都可以在两个网络上使用,并且能够在不同的计划阶段中找到最佳的机车车辆流通量。此外,结果表明,两种方法都足够快,可以在实时设置中使用。

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