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An Optimization Method for the Train Service Network Design Problem

机译:列车服务网络设计问题的优化方法

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摘要

Effective railway freight transportation relies on a well-designed train service network. This paper investigates the train service network design problem at the tactical level for the Chinese railway system. It aims to determine the types of train services to be offered, how many trains of each service are to be dispatched per day (service frequency), and by which train services shipments are to be transported. An integer programming model is proposed to address this problem. The optimization model considers both through train services between nonadjacent yards, and two classes of service between two adjacent yards ( i.e., shuttle train services directly from one yard to its adjacent yard, and local train services that make at least one intermediate stop). The objective of the model is to optimize the transportation of all the shipments with minimal costs. The costs consist of accumulation costs, classification coststrain operation costs, and train travel costs. The NP-hard nature of the problem prevents an exact solution algorithm from finding the optimal solution within a reasonable time, even for small-scale cases. Therefore, an improved genetic algorithm is designed and employed here. To demonstrate the proposed model and the algorithm, a case study on a real-world sub-network in China is carried out. The computational results show that the proposed approach can obtain high-quality solutions with satisfactory speed. Moreover, comparative analysis on a case that assumes all the shuttle train services between any two adjacent yards to be provided without optimization reveals some interesting insights.
机译:有效的铁路货运依赖于精心设计的列车服务网络。本文从战术层面研究了中国铁路系统列车服务网络设计问题。它旨在确定要提供的火车服务类型,每种服务的每天要调度多少列火车(服务频率),以及要运输哪些火车服务货物。针对该问题,提出了一种整数规划模型。优化模型既考虑了不相邻堆场之间的列车服务,也考虑了两个相邻堆场之间的两类服务(即,从一个堆场直接到相邻堆场的穿梭列车服务,以及至少停靠一个中间站的本地列车服务)。该模型的目标是以最低的成本优化所有货物的运输。成本包括累积成本、分类成本、列车运营成本和火车旅行成本。该问题的NP困难性质使精确求解算法无法在合理的时间内找到最佳解,即使对于小规模的情况也是如此。因此,本文设计并采用了一种改进的遗传算法。为了验证所提模型和算法,本文以中国真实子网为例进行研究。计算结果表明,所提方法能够以较快的速度得到高质量的解。此外,对一个假设在任意两个相邻堆场之间提供所有穿梭列车服务而不进行优化的案例进行比较分析,揭示了一些有趣的见解。

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