Modeling stochastic multiple equilibrium behaviors on urban traffic networks

ZHAO Hui; GAO Ziyou

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Modeling stochastic multiple equilibrium behaviors on urban traffic networks

ZHAO Hui 1 * #,GAO Ziyou 2

1.MOE key laboratory for urban transportation complex systems theory and technology, Beijing Jiaotong University, Beijing 100044

2.Institue of system science, School of traffic and transportation, Beijing Jiaotong University

*Correspondence author

#Submitted by

Subject:

Funding: National Natural Science Foundation of China （No.No. 70901007）, the Doctoral Fund of Ministry of Education of China（No.No. 20090009120014）

Opened online:13 December 2012

Accepted by: none

Citation: ZHAO Hui,GAO Ziyou.Modeling stochastic multiple equilibrium behaviors on urban traffic networks[OL]. [13 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4501284

In this paper, multiple traffic equilibrium with both competition and cooperation behaviors in stochastic environments is concentrated. Three different types of players, including Stochastic User Equilibrium (SUE) player, Stochastic System Optimum (SSO) player and Stochastic Cournot-Nash (SCN) player are simultaneously considered when the players are presumed to make routing decision with other players' perceptions of travel times. By formulating the stochastic multiple equilibrium as Variational Inequalities (VI), the multiple routing behaviors on urban networks is analyzed. Diagonalization technique is adopted to solve the VI problem arisen form the multiple traffic equilibrium model. And numerical examples are included to demonstrate the proposed models.

Keywords:Transportation systems engineering; stochastic; multiple equilibrium; variational inequalities; Nash game

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