交通运输系统工程与信息

交通运输系统工程与信息 ›› 2023, Vol. 23 ›› Issue (6): 196-205.DOI: 10.16097/j.cnki.1009-6744.2023.06.020

• 系统工程理论与方法 • 上一篇    下一篇

考虑换乘站客流疏解的地铁列车跳站与客流控制协同优化

王培恒，杨立兴*，李树凯，高自友   

  1. 北京交通大学，交通运输学院，北京 100044
  • 收稿日期:2023-07-21 修回日期:2023-09-27 接受日期:2023-10-07 出版日期:2023-12-25 发布日期:2023-12-23
  • 作者简介:王培恒(1989- )，男，甘肃会宁人，博士生。
  • 基金资助:
    国家自然科学基金(71621001)

Collaborative Optimization of Train Skip-stop and Passenger Flow Control on Subway Line Considering Passenger Evacuation at Transfer Stations

WANG Pei-heng,YANG Li-xing*,LI Shu-kai,GAO Zi-you   

  1. School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China
  • Received:2023-07-21 Revised:2023-09-27 Accepted:2023-10-07 Online:2023-12-25 Published:2023-12-23
  • Supported by:
    National Natural Science Foundation of China (71621001)

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摘要： 早高峰时段，各大城市地铁线路和换乘站的客流运输与疏解压力巨大。本文首先说明部分列车在换乘站跳站，可延缓换乘客流乘车过程、降低换乘站客流疏解压力。在此基础上，构建地铁单线双方向列车换乘站跳站开行与客流控制协同优化模型，极小化乘客在始发站等待延误时间和换乘延误时间。其次，对相关非线性约束进行近似线性替代，将原模型转化为线性整数规划模型。最后，以北京地铁5号线早高峰为背景设计数值实验，使用优化求解器CPLEX调用分支定界算法求解模型，验证了模型的实际优化效果。实验结果表明，相较于列车站站停和既有客流控制，优化所得方案在14 min内使得列车运载的乘客增加了2954人，并使乘客在站外延误时间、换乘延误时间和总延误时间分别降低了58.9%、16.9%和41.6%。

关键词: 城市交通, 地铁客流控制, 列车跳站, 换乘车站, 延误时间

Abstract: During the morning rush hour, subway lines and transfer stations face enormous pressure on passenger transportation and evacuation in major cities. The paper first explores the strategy of trains skipping transfer stations to reduce congestion at the transfer stations and pressure on passenger evacuation. A collaborative optimization model is then developed to jointly consider train skip-stop strategies at transfer stations and passenger flow control for a subway line operating in two directions, with the objective of minimizing passenger waiting times and transfer delays. The model is transformed into a linear integer programming model by approximating and linearizing relevant nonlinear constraints. The effectiveness of the proposed collaborative optimization model is verified through numerical experiments conducted on Beijing subway line 5. The CPLEX optimization solver, utilizing the branch and bound algorithm, is employed to solve the model, confirming the practical effectiveness of the proposed approach. The experimental results indicated that, compared to the existing passenger flow control with all-stop scheme, the optimized scheme significantly increases the number of passengers by 2954 that is carried by a train within a 14-minute timeframe. Furthermore, it reduces delay times experienced outside stations, transfer delays, and the overall delay time by 58.9%, 16.9%, and 41.6%, respectively.

Key words: urban traffic, passenger flow control, train skip-stop, transfer station, delay time

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