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arXiv 2202.12918math.OCcs.CC
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关于电动汽车共享问题的复杂性与建模

On the complexity and modeling of the electric vehicle sharing problem

Welverton R. Silva, Fábio L. Usberti, Rafael C. S. Schouery

AI总结:

本文引入电动汽车共享问题(EVSP),证明其为NP-hard问题,提出四种基于时空网络流的混合整数线性规划公式,并通过基准集实验验证了最佳公式的有效性。

摘要:

我们引入了电动汽车共享问题(EVSP),该问题源于允许单向租赁车辆的电动汽车共享系统的规划与运营。该问题旨在寻找最大的每日总租赁时间,在此期间将客户需求分配给现有车队。此外,要么完全满足客户的所有需求,要么客户完全不使用该系统。我们证明 EVSP 是 NP-hard 问题,并基于时空网络流模型提供了四种混合整数线性规划公式,以及一些理论结果。我们使用两组基准集对所提公式的行为进行了全面的计算研究,其中一组基准集基于巴西福塔莱萨电动汽车共享系统的真实数据。结果表明,我们最佳的公式在解决每个客户只有一项需求的实例时非常有效。总体而言,我们能够在一小时的时间限制内最优地解决至少55%的实例。

英文摘要:

We introduce the electric vehicle sharing problem (EVSP), a problem that arises from the planning and operation of electric car-sharing systems which allow one-way rental of vehicles. The problem aims at finding the maximum total daily rental time in which customers' demands are assigned to the existing fleet. In addition, either all of the customer's demands are completely fulfilled or the customer does not use the system at all. We show that the EVSP is NP-hard, and we provide four mixed-integer linear programming formulations based on space-time network flow models, along with some theoretical results. We perform a comprehensive computational study of the behavior of the proposed formulations using two benchmark sets, one of which is based on real-world data from an electric car-sharing system located in Fortaleza, Brazil. The results show that our best formulation is effective in solving instances where each customer has only one demand. In general, we were able to optimally solve at least 55% of the instances within the time limit of one hour.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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