高峰期轨道交通廊道出行均衡模型及算法  

User Equilibrium Model and Algorithm in Rail Transit Corridor in Peak Period

作　　者：袁乐凯 石超峰 张玺[1] YUAN Le-kai;SHI Chao-feng;ZHANG Xi(Traffic and Transportation College, Chongqing Jiaotong University, Chongqing 400074, China;College of Economics and Management, Chongqing Jiaotong University, Chongqing 400074, China)

机构地区：[1]重庆交通大学交通运输学院,重庆400074 [2]重庆交通大学经济与管理学院,重庆400074

出　　处：《科学技术与工程》2021年第18期7746-7751,共6页Science Technology and Engineering

基　　金：国家社会科学基金(16BJL121);重庆交通大学科研启动经费项目(17JDKJC-A002);重庆市教委科学技术研究项目(KJ 1705148)。

摘　　要：为了指导城市轨道交通运营、规划及管理,在考虑轨道车厢内拥挤和早到与晚到成本的情况下,通过建立轨道交通廊道中的出行动态均衡模型,研究了模型算法以及出行时间价值对乘客出行分布的影响。如果乘客通过权衡拥挤成本与延误成本,选择最佳轨道班次使得个人出行总成本最小,那么会达到出行成本的用户均衡状态。基于Frank-Wolfe算法迭代计算轨道交通廊道中用户出行时间分布均衡解。结果表明,均衡状态时,不同讫点的乘客连续分布在不同班次之间,人数分别在各自误时成本最小的车次上达到峰值;晚到成本增大到一定程度时,没有乘客选择晚到的班次;减少单位早到误时成本时,乘客只权衡拥挤成本来选择班次。研究结果不仅对轨道交通管理有一定理论意义,也对个人出行选择行为有一定的实践指导意义。In order to guide the operation,planning and management of urban rail transit,considering the congestion in rail carriage and the cost of early arrival and late arrival,a dynamic equilibrium model of travel in rail transit corridor was established.The model algorithm and the influence of value of travel time on passenger travel distribution was studied.The equilibrium solution of user travel time distribution in rail transit corridor was calculated iteratively based on Frank-Wolfe algorithm.The results show that,if passengers weigh the congestion cost and delay cost,and choose the best rail schedule to minimize the total personal travel cost,the user equilibrium state of travel costs will be achieved.In the equilibrium state,the passengers at different destination points are continuously distributed among different shifts,and the number of passengers reaches the peak on the train with the least cost of delay.When the cost of late arrival increases to a certain extent,no passengers choose the late arrival frequency.When reducing the unit cost of early arrival time,passengers only weigh the congestion cost to choose the frequency.It not only has a certain theoretical significance for rail transit management,but also has a certain practical guiding significance for individual travel choice behavior.

关 键 词：轨道交通廊道 用户均衡模型 Frank-Wolfe算法 时间价值 出行成本 延误成本 

分 类 号：U4-9[交通运输工程—道路与铁道工程]