EN

论文

当前位置: 首页 > 科学研究 > 科研成果 > 论文 > 正文

A discrete dynamical system of formulating traffic assignment: Revisiting Smith's model

来源: | 发布时间:2017-01-10| 点击:

 

作者:Guo, RY(Guo, Ren-Yong)[1];Huang, HJ(Huang, Hai-Jun)[2]  

 

  TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES  

 

卷:    71    

页:    122-142    

DOI:   10.1016/j.trc.2016.07.005    

出版年:   OCT 2016    

查看期刊信息

 摘要

Through relaxing the behavior assumption adopted in Smith's model (Smith, 1984), we propose a discrete dynamical system to formulate the day-to-day evolution process of traffic flows from a non-equilibrium state to an equilibrium state. Depending on certain preconditions, the equilibrium state can be equivalent to a Wardrop user equilibrium (UE), Logit-based stochastic user equilibrium (SUE), or boundedly rational user equilibrium (BRUE). These equivalence properties indicate that, to make day-to-day flows evolve to equilibrium flows, it is not necessary for travelers to choose their routes based on actual travel costs of the previous day. Day-to-day flows can still evolve to equilibrium flows provided that travelers choose their routes based on estimated travel costs which satisfy these preconditions. We also show that, under a more general assumption than the monotonicity of route cost function, the trajectory of the dynamical system converges to a set of equilibrium flows by reasonably setting these parameters in the dynamical system. Finally, numerical examples are presented to demonstrate the application and properties of the dynamical system. The study is helpful for understanding various processes of forming traffic jam and designing an algorithm for calculating equilibrium flows. (C) 2016 Elsevier Ltd. All rights reserved.

 作者信息

通讯作者地址:Guo, RY (通讯作者)

Inner Mongolia Univ, Coll Comp Sci, Hohhot 010021, Peoples R China.

 

地址:

[ 1 ] Inner Mongolia Univ, Coll Comp Sci, Hohhot 010021, Peoples R China
[ 2 ]Beihang Univ, Sch Econ & Management, Beijing 100191, Peoples R China

 

电子邮件地址:buaa_guorenyong@126.com;haijunhuang@buaa.edu.cn