交通运输系统工程与信息

交通运输系统工程与信息 ›› 2025, Vol. 25 ›› Issue (6): 165-174.DOI: 10.16097/j.cnki.1009-6744.2025.06.015

• 系统工程理论与方法 • 上一篇    下一篇

跨线运营模式下城轨列车运行图协同编制模型

闫菲，姚向明，韩梅，陈超* ，赵鹏   

  1. 北京交通大学，交通运输学院，北京100044
  • 收稿日期:2025-08-05 修回日期:2025-10-02 接受日期:2025-10-16 出版日期:2025-12-25 发布日期:2025-12-24
  • 作者简介:闫菲(1998—)，女，新疆昌吉人，博士生。
  • 基金资助:
    国家自然科学基金(52372299)；中央高校基本科研业务费专项资金 (2022JBQY006)。

A Coordinated Scheduling Model for Train Diagrams of Unban Rail Transit Under Interconnected Operation Mode

YAN Fei,YAO Xiangming, HAN Mei, CHEN Chao*, ZHAO Peng   

  1. School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
  • Received:2025-08-05 Revised:2025-10-02 Accepted:2025-10-16 Online:2025-12-25 Published:2025-12-24
  • Supported by:
    National Natural Science Foundation of China (52372299)；Fundamental Research Funds for the Central Lniyersities (2022JBQY006)。

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摘要： 跨线运营模式下列车运行图一体化协同编制对提高行车组织效率具有重要意义。针对本线车与跨线车运行线排序方案多样化导致运行图编制复杂度高这一问题，解析跨线站列车发车时刻和运行顺序间耦合关系，提出共线区段运行线协调方法以确定各车次铺画顺序。以行车间隔偏差最小化、额外停站时间最小化和车底出入库次数最小化为优化目标，考虑列车到发时刻、发车间隔、车底接续和出入库作业等约束条件，构建运行图和车底运用一体化编制模型，并通过模型线性化以提高求解效率。最后，选取某城市轨道交通4号线和9号线构成的“X”型跨线运营场景为对象进行实证分析。结果表明：所构建方法能够综合考虑稳定性与车底资源的权衡关系，实现列车运行图和车底运用方案的一体化编制；通过科学排列多交路运行线，行车间隔偏差降低22.88%，额外停站时间降低12.65%。研究成果可为跨线运营模式下列车运行图协同编制提供方法，提高编图效率与运行图质量。

关键词: 城市交通, 运行图编制, 多目标优化, 跨线运营, 车底运用

Abstract: The integrated and coordinated scheduling for train diagrams under the interconnected operation mode is of great significance for improving the train operation efficiency. To address the challenge of high complexity in scheduling caused by the diverse sequencing schemes of local and cross-line train routes, this study analyzes the coupling relationship between departure times and train sequences at cross-line stations. A coordination method for train routes in the shared sections is proposed to determine the order of each train service. An integrated scheduling model for train diagrams and rolling stock circulation plans is developed to minimize the headway deviation, the dwell time redundancy, and the number of entering and exiting depot operations. The model considers constraints, such as train arrival and departure times, train headways, rolling stock circulation, and depot operations, and is linearized to improve solution efficiency. Finally, an empirical analysis is conducted based on an "X" shaped interconnected operation scenario formed by Line 4 and Line 9 of urban rail transit in a certain city. The results show that the proposed method can comprehensively account for the trade-off between diagram stability and rolling stock resources, and enable the integrated scheduling of train diagrams and rolling stock circulation plans. By scientifically sequencing multi-route train services, the headway deviation is reduced by 22.88%, and the dwell time redundancy is reduced by 12.65%. The research findings provide a methodological reference for the coordinated scheduling of train diagrams under interconnected operation, enhancing both scheduling efficiency and diagram quality.

Key words: urban traffic, train diagram design, multi-objective optimization, interconnected operation, rolling stock circulation planning

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