Operations Research and Management Science ›› 2021, Vol. 30 ›› Issue (12): 28-34.DOI: 10.12005/orms.2021.0380

• heory Analysis and Methodology Study • Previous Articles     Next Articles

Minimizing Costs Model and Algorithm of Centralized Commute

DONG Ji-yang1, HE Wan-li2   

  1. 1. School of Management Science and Engineering,Dongbei University of Finance and Economics, Dalian 116623, China;
    2. College of Science, Dalian Minzu University, Dalian 116650, China
  • Received:2020-05-28 Online:2021-12-25

集中通勤接送服务的最小化成本模型及算法

董纪阳1, 何万里2   

  1. 1.东北财经大学 管理科学与工程学院,辽宁 大连 116023;
    2.大连民族大学 理学院,辽宁 大连 116650
  • 通讯作者: 何万里,男,副教授,研究方向为管理科学与工程。
  • 作者简介:董纪阳,男,讲师,研究方向为管理科学与工程;
  • 基金资助:
    辽宁省教育厅科学研究项目(LN2020J05);大连市社科院重大调研课题(2020dlsky031)

Abstract: The paper establishes 0-1 mixed integer programming models aiming at minimizing operation costs in the centralized commute service, which has characteristics as multi-destination, multi-automobile coordination and multi-routing shifts, and taking account of customer satisfaction, we can obtain the approximate minimum cost under different degrees of satisfaction. According to the complexity and large scale of the problem, a heuristic algorithm (class label algorithm) based on kNN is developed, which promotes and generalizes the method of path construction. The numerical results show that the model and algorithm proposed is effective and feasible.

Key words: centralized commute, vehicle routing and scheduling problem, minimizing costs, heuristic algorithm

摘要: 本文针对集中通勤接送服务业务流程中的车次分配与调度问题,建立了以最小化成本为目标的0-1混合整数规划模型,刻画了该问题所具有的多目标抵达地、多车协作、多行程车次等特征事实,同时考虑顾客满意度,以获得不同满意度下的近似最小成本。根据问题的复杂性和大规模性,设计开发了一种基于kNN思想的类标签启发式算法求解模型,拓展了构造路径的方法。算例数值结果表明,本文所设计模型和算法是有效性、可行的。

关键词: 集中通勤, 车辆路径与调度问题, 最小化成本, 启发式算法

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