Integer programming formulations for the time-dependent elementary shortest path problem with resource constraints

Q2 Mathematics
Gonzalo Lera-Romero, Juan José Miranda-Bront
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引用次数: 5

Abstract

The impact of congestion in transportation has become one of the main concerns regarding urban planing in large cities. Time-Dependent Vehicle Routing Problems (TDVRPs) is the name given to a broad family of VRPs that explicitly incorporate the congestion by considering variable travel times. In this paper we study the Time-Dependent Elementary Shortest Path Problem with Resource Constraints (TDESPPRC), that appears as the pricing sub-problem in column generation-based approaches for TDVRPs. We consider two integer programming formulations which exploit the characteristics of the time-dependent travel time function and are evaluated on benchmark instances. On preliminary computational experiments, the approach is able to effectively solve instances with up to 25 vertices in reasonable times, showing its potential to be used within a Branch and Price algorithm.

具有资源约束的时变初等最短路径问题的整数规划公式
交通拥挤的影响已成为大城市城市规划的主要问题之一。时间相关车辆路径问题(TDVRPs)是一个广泛的vrp家族的名称,它通过考虑可变的行驶时间来明确地包含拥堵。本文研究了具有资源约束的时间相关初等最短路径问题(TDESPPRC),这是基于列生成的tdvrp方法中的定价子问题。我们考虑了两种利用时变旅行时间函数特性的整数规划公式,并在基准实例上进行了评估。在初步的计算实验中,该方法能够在合理的时间内有效地解决多达25个顶点的实例,显示其在Branch和Price算法中使用的潜力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Electronic Notes in Discrete Mathematics
Electronic Notes in Discrete Mathematics Mathematics-Discrete Mathematics and Combinatorics
CiteScore
1.30
自引率
0.00%
发文量
0
期刊介绍: Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.
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