基于列生成与NSGA-II的多目标电动公交车辆调度研究
Muti-Objective Electric Vehicle Scheduling Problem Based on column generation and NSGA-II
随着城市的交通拥堵和环境污染问题日益严峻,公交优先和使用新能源汽车的绿色公交出行逐渐成为政府倡导的新理念。电动公交车因具有绿色环保、运输成本低等特点在公交系统中应用日趋增加,在运营规划方面,电动公交车辆调度相较于传统燃油公交调度增加了最大行驶里程和充电因素,在已有的研究中,多数采用单目标优化求解。本文构建多目标电动公交车辆调度问题的混合整数规划模型,提出列生成与NSGA-II结合的混合优化方法求解该问题,应用列生成算法对主问题和子问题进行求解,确定搜索空间,然后采用NSGA-II以运营成本和车次未覆盖率作为目标函数进行多目标寻优。实验表明,混合优化方法获得的Pareto解中存在支配人工排班方案的解,并且车次未覆盖率低于人工排班方案的解成本优化最高为11.47%,表明混合优化方法能有效解决多目标的电动公交车辆调度问题。
With the increasingly serious problems of urban traffic congestion and environmental pollution, public transport priority and green vehicles travel using new energy vehicles has gradually become a new concept advocated by the government. Due to the characteristics of green environmental protection and low transportation cost, the application of electric vehicles in public transportation system is increasing day by day. In terms of operation planning, compared with traditional fuel vehiclesscheduling, electric vehicles scheduling increases the maximum mileage and charging factor. In the existing research, single objective optimization is mostly used. In this paper, the mixed integer programming model of electric bus scheduling problem is constructed, and a hybrid optimization method combining column generation and NSGA-II is proposed to solve the problem. The column generation algorithm is applied to solve the main problem and the subproblem to determine the search space, and then the NSGA-II is used to carry out the multi-objective optimization with the operation cost and train number non coverage rate as the objective function. The experimental results show that the Pareto solution obtained by the hybrid optimization method has the solution dominating the manual scheduling scheme, and the highest cost of the solution is 11.47%, which indicates that the hybrid optimization method can effectively solve the multi-objective electric vehicles scheduling problem.
左兴权、徐洋凡
公路运输工程交通运输经济能源动力工业经济
电动公交车辆调度多目标优化列生成NSGA-II
electric vehicle schedulingmulti-objectivecolumn generationNSGA-II
左兴权,徐洋凡.基于列生成与NSGA-II的多目标电动公交车辆调度研究[EB/OL].(2021-04-23)[2025-05-01].http://www.paper.edu.cn/releasepaper/content/202104-207.点此复制
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