考虑地铁车内拥挤和早到与迟到惩罚的 
通勤者出发时间选择模型

交通运输系统工程与信息 ›› 2009, Vol. 9 ›› Issue (1): 128-132 .

考虑地铁车内拥挤和早到与迟到惩罚的
通勤者出发时间选择模型

吴文祥^*1,2;黄海军¹

1 北京航空航天大学经济管理学院，北京100083;2 北方工业大学，经济管理学院，北京100041

收稿日期:2008-06-25 修回日期:2008-10-14 出版日期:2009-02-25 发布日期:2009-02-25
通讯作者: 吴文祥
作者简介:吴文祥（1972-），男，安徽贵池人，讲师，博士生.
基金资助:
国家自然科学基金委创新研究群体基金（70521001）和国家“973”计划（2006CB705503）.

Model of Subway Commuters’ Departure Time Choice with In-Carriage Congestion and Arrival Early/Late Penalty

WU Wen-xiang ^1,2 ;HUANG Hai-jun ¹

1 School of Economics and Management, Beijing University of Aeronautics & Astronautics, Beijing 100083, China; 2 College of Economics and Business Administration, North China University of Technology, Beijing 100041, China

Received:2008-06-25 Revised:2008-10-14 Online:2009-02-25 Published:2009-02-25
Contact: WU Wen-xiang

摘要/Abstract

摘要： 考虑一条地铁将生活区和工作区连接起来，每天早晨通勤者乘地铁从生活区到工作区上班，在高峰期，通勤者人数众多，车内就产生了拥挤，从而必然有部分通勤者通过早出发或晚出发来避免车内拥挤。本文提出了一个考虑地铁车内拥挤和早到与迟到惩罚的通勤者出发时间选择模型并研究了该模型的均衡性质以及个人出行总成本。在均衡状态，没有通勤者会选择在最早或最迟出发时间出行；均衡状态的出发率是出发时间的线性函数；在均衡状态，任意给定通勤者人数，最早或最迟出发时间的解是唯一的。最后，算例结果验证了理论模型的结论并揭示了出发率和相关参数之间的关系。

关键词: 均衡通勤行为, 车内拥挤, 出发时间选择

Abstract: Considering a subway connecting a resident area and a workplace, every morning, commuters use the subway for traveling from the residential area to the workplace. During rush hour, some commuters depart earlier or later for avoiding in-carriage congestion incurred by a large number of commuters. This paper presents a model for studying the subway commuters’ departure time choice behavior and the private travel total cost. The in-carriage congestion and arrival early/late penalty are considered in the model. At equilibrium, no user starts on the latest or earliest departure time. The departure rate at equilibrium state is linear to departure time. At equilibrium, for any given number of commuters, the solutions to the latest and earliest departure time are unique. Finally, numerical results are used to verify the analytical findings and explore the relationship between departure rate and some model parameters.

Key words: equilibrium commuting behavior, in-carriage congestion, departure time choice

中图分类号:

U121

吴文祥,黄海军. 考虑地铁车内拥挤和早到与迟到惩罚的
通勤者出发时间选择模型[J]. 交通运输系统工程与信息, 2009, 9(1): 128-132 .

WU Wen-xiang ,HUANG Hai-jun . Model of Subway Commuters’ Departure Time Choice with In-Carriage Congestion and Arrival Early/Late Penalty[J]. Journal of Transportation Systems Engineering and Information Technology, 2009, 9(1): 128-132 .

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http://www.tseit.org.cn/CN/Y2009/V9/I1/128

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