华南理工大学学报(自然科学版) ›› 2015, Vol. 43 ›› Issue (8): 126-134,143.doi: 10.3969/j.issn.1000-565X.2015.08.019

• 交通运输工程 • 上一篇    下一篇

考虑列车容量限制的地铁网络客流分配模型

周玮腾韩宝明1,2†   

  1. 1. 北京交通大学 交通运输学院,北京 100044; 2. 北京交通大学 轨道交通控制与安全国家重点实验室,北京 100044
  • 收稿日期:2015-01-06 修回日期:2015-03-17 出版日期:2015-08-25 发布日期:2015-07-01
  • 通信作者: 韩宝明(1963-),男,教授,博士生导师,主要从事运输组织现代化研究. E-mail: bmhan@bjtu.edu.cn
  • 作者简介:周玮腾(1988-),男,博士,主要从事城市轨道交通运输规划与管理研究. E-mail: zwt_bjtu@126.com
  • 基金资助:
    北京市自然科学基金资助项目(9132015);北京交通大学中央高校基本科研业务费专项资金资助项目(2015JBM046);北京高等学校青年英才计划(YETP0555);北京交通大学基本科研业务费资助项目(2014JBM058)

Passenger Flow Assignment Model of Subway Networks Under Train Capacity Constraint#br#

Zhou Wei-teng Han Bao-ming1,2   

  1. 1. School of Traffic and Transportation,Beijing Jiaotong University,Beijing 100044,China; 2. State Key Laboratory of Rail Traffic Control and Safety,Beijing Jiaotong University,Beijing 100044,China
  • Received:2015-01-06 Revised:2015-03-17 Online:2015-08-25 Published:2015-07-01
  • Contact: 韩宝明(1963-),男,教授,博士生导师,主要从事运输组织现代化研究. E-mail: bmhan@bjtu.edu.cn
  • About author:周玮腾(1988-),男,博士,主要从事城市轨道交通运输规划与管理研究. E-mail: zwt_bjtu@126.com
  • Supported by:
     Supported by the Beijing Municipal Natural Science Foundation(9132015)

摘要: 城市地铁网络客流分配对于城市轨道交通网络化运营管理具有重要意义. 既有研究较少地考虑基于时刻表条件下的列车容量限制对于客流分配的影响. 文中通过构建时刻表扩展网络,设计时刻表扩展网络下的 k 短路径搜索算法,考虑列车容量限制下乘客的拥挤因素和留乘延误因素,构建随机用户均衡条件下的客流动态分配模型,并设计了求解算法. 通过北京地铁网络客流分配实例进行模型验证,并分析了参数的敏感性. 实例证明,模型具有较高的计算精度(相对误差 9. 5% ~11. 2%)和收敛速度,能满足地铁大规模网络客流分布的分析和评估需求.

关键词: 地铁, 客流分配, 时刻表, 列车容量, 留乘

Abstract: The passenger flow assignment of subway networks plays an important role in the operation and management of urban rail transit networks. As the influence of the train capacity constraint on the passenger flow assignment in a schedule-based network is seldom taken into account in relevant literature,this paper constructs a dynamic assignment model of passenger flows under the condition of the stochastic user equilibrium,and designs a solution algorithm by establishing a schedule-expanded network and by designing corresponding k-shortest path search algorithm. Moreover,the congestion and overload delay under the train capacity constraint are also taken into account. Then,the proposed model is verified by a numerical example in Beijing subway networks,and the parameter sensitivity is analyzed. The results show that the proposed model is of a rapid convergence and a higher degree of accuracy with a relative error of 9. 5% ~11. 2%,which can meet the requirements of analyzing and estimating the passenger flow distribution in a large-scalesubway network.

Key words: subways, passenger flow assignment, schedule, traincapacity, overload delay

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