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中国管理科学 ›› 2026, Vol. 34 ›› Issue (1): 221-233.doi: 10.16381/j.cnki.issn1003-207x.2023.1411cstr: 32146.14.j.cnki.issn1003-207x.2023.1411

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考虑设施使用冲突的电动公交运行与充电联合调度研究

崔阳, 赵睿, 徐红利(), 周晶   

  1. 南京大学工程管理学院,江苏 南京 210093
  • 收稿日期:2023-08-23 修回日期:2024-01-08 出版日期:2026-01-25 发布日期:2026-01-29
  • 通讯作者: 徐红利 E-mail:hlxu@nju.edu.cn
  • 基金资助:
    国家自然科学基金面上项目(72271117);国家自然科学基金面上项目(72171114)

Research on Joint Dispatching of Electric Bus Operation and Charging Considering Facility Usage Conflict

Yang Cui, Rui Zhao, Hongli Xu(), Jing Zhou   

  1. School of Management and Engineering,Nanjing University,Nanjing 210093,China
  • Received:2023-08-23 Revised:2024-01-08 Online:2026-01-25 Published:2026-01-29
  • Contact: Hongli Xu E-mail:hlxu@nju.edu.cn

摘要:

随着不可再生能源的减少和环境污染问题的加剧,车辆电动化迫在眉睫,电动公交应时而生并已占中国公交总量的59.1%。由于电池容量有限、充电时间较长,充电调度成为电动公交关键的运营管理问题之一。公交的正常运行需要合理的充电调度进行保障,运行调度又决定了公交车进出站和停靠时间,进而影响充电调度。充电调度与运行调度的协同优化能提高公交的整体运行效率,当存在在途充电时,两者的协同优化更为重要。为了规避充电冲突、优化充电计划,本文在给定初始公交进出站时刻表和最大可调整时间的限制下,对公交进出站时间进行调整,建立了电动公交运行时刻表与充电计划的联合优化模型,在规避充电冲突、保证连续充电的前提下最小化充电成本。作为对比,本文还构建了电动公交按照固定时刻表运行的情形下的充电调度优化模型。最后以深圳市的四条公交线路为例展开算例分析,结果显示,相较于固定时刻表情形下的充电调度,运行时刻表与充电调度的联合优化可以有效降低充电总成本;同时随着单公里能耗的增加,联合优化模型的优势更加明显。

关键词: 充电调度与运行调度, 混合整数规划, 电动公交, 设施使用冲突, 联合优化

Abstract:

With the reduction of non-renewable energy and environmental pollution issues, the electrification of vehicles is urgent, and electric buses have emerged and accounted for 59.1% of China’s total public transportation. Due to limited battery capacity and long charging time, charging scheduling has become one of the key operational management issues for electric buses. The normal operation of public transportation requires reasonable charging scheduling to ensure, which in turn determines the inbound and outbound time and dwelling time of buses, thereby affecting charging scheduling. The collaborative optimization of charging scheduling and operation scheduling can improve the overall operational efficiency of public transportation. When there is in transit charging, the collaborative optimization of the two is more important. In order to avoid charging conflicts and optimize charging plans, the bus inbound and outbound time are adjusted under the constraints of the initial bus inbound and outbound schedule and the maximum adjustable time. A joint optimization model of the electric bus operation schedule and charging plan is established to minimize charging costs while avoiding charging conflicts and ensuring continuous charging. In order to form a comparative analysis, a charging scheduling optimization model is also constructed for electric buses operating according to a fixed timetable. Finally, taking four bus routes in Shenzhen as an example, a numerical analysis is conducted. The results show that compared to charging scheduling under fixed time expression, the joint optimization of operating schedule and charging scheduling can effectively reduce the total charging cost; Meanwhile, as the energy consumption per kilometer increases, the advantages of the joint optimization model become more apparent.

Key words: charging and operation scheduling, mixed integer programming, electric bus, facility usage conflicts, joint optimization

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