考虑多车场出退勤的城轨交通乘务任务配对模型及算法
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作者单位:

1. 华东交通大学 交通运输工程学院,南昌 330013;2. 北京交通大学 系统科学学院,北京 100044

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通讯作者:

E-mail: jgshi@ecjtu.edu.cn.

中图分类号:

U293.5

基金项目:

国家自然科学基金项目(71801093);江西省社会科学基金项目(21GL37D);江西省教育厅科学技术研究项目(GJJ210654).


Optimization model and algorithm for urban rail crew pairing problem with multiple depots
Author:
Affiliation:

1. School of Transportation Engineering,East China Jiaotong University,Nanchang 330013,China;2. School of Systems Science,Beijing Jiaotong University,Beijing 100044,China

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    摘要:

    针对多个出退勤车场的城市轨道交通线路,研究乘务任务配对问题的数学模型和算法,在满足各车场出退勤任务守恒的前提下,尽可能提高整体值乘效率.首先,考虑出退勤约束、轮换约束、用餐约束和工作量约束,构建任务段衔接网络有向图,并设计广度搜索算法搜寻满足各班种要求的候选任务池.然后,在此基础上,以乘务总值乘费用最小为目标,构建乘务任务配对问题的集覆盖模型.接着,为了提高大规模问题的求解效率,设计基于列生成思想的启发式求解算法.最后,以南昌地铁1号线为例,通过实例验证发现:所提出方法能够合理安排早班和夜班任务的出、回场方式,很好地满足了各车场夜、早任务守恒需求;相对于现行方案,有效减少了两个乘务任务,且任务段平均衔接时间减少了1分17秒;所提出模型和算法能够满足多车场出退勤需求,且保证了值乘效率,能够为实际运营提供决策支持.

    Abstract:

    To solve the crew pairing problem for metro lines with multiple depots, this paper studies the optimization model and algorithm to satisfy the equivalences of attendance and leave duties at each depot, and meanwhile improve the work efficiency. By considering the constraints of attendance and leave, alternation, meals, and workload, a space-time network with respect to segments is firstly constructed, and a breadth-first search algorithm is designed to search the required feasible duty pool. Next, a set covering problem with additional constraints for the crew pairing problem is proposed, so as to minimize the total cost. To effectively solve the large-scale cases, a column-generation based algorithm is proposed. The proposed method is tested using the data from Nanchang metro line 1, and experimental results show that, the method can well satisfy the conservation constraints on the entering crews and outgoing crews for each depot. Compared with the existing plan, the obtained schedule by the proposed method reduces 2 crew duties, and the average connecting time for each segment is reduced by 1 minute and 17 seconds. This method can satisfy the requirements of crew pairing with multiple depots, and the work efficiency can also be improved, which can provide decision support for the metro operation in reality.

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杨静,石俊刚,张玉清,等.考虑多车场出退勤的城轨交通乘务任务配对模型及算法[J].控制与决策,2024,39(7):2142-2150

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  • 在线发布日期: 2024-06-06
  • 出版日期: 2024-07-20
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