吉林大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (5): 1408-1413.doi: 10.13229/j.cnki.jdxbgxb201505005

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Stochastic user equilibrium traffic assignment model consisting fluctuations in traffic flows

WEI Chong1, 2, SHAO Chun-fu1   

  1. 1.MOE Key Laboratory for Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China;
    2.Center of Cooperative Innovation for Beijing Metropolitan Transportation, Beijing 100124, China
  • Received:2013-04-27 Online:2015-09-01 Published:2015-09-01

Abstract: The stochastic nature of traffic flow in stochastic user equilibrium networks was investigated. Based on the random utility theory, a stochastic traffic assignment model that can reflect the probability distribution of traffic flow was constructed using Baye's theorem. Driver's route choice behavior and the uncertainty in road capacity were taken into account in the model as the sources of fluctuation in traffic flow. A Markov chain Monte Carlo algorithm was also developed in order to estimate the characteristics of traffic flows from the probability distribution. The proposed model was tested on a medium-sized network. Results show that the model can be used to evaluate the effects of route choice behavior and uncertainty in road capacity on the fluctuations in traffic flows.

Key words: engineering of communication and transportation, stochastic user equilibrium, probability distribution of traffic flows, Baye's theorem, random utility theory

CLC Number: 

  • U491
[1] Asakura Y, Kashiwadani M. Road network reliability caused by daily fluctuation of traffic flow[C]∥Proceedings of the 19th PTRC Summer Annual Meeting, Brighton UK, 1991:73-84.
[2] Cascetta E. A stochastic process approach to the analysis of temporal dynamics in transportation networks[J]. Transportation Research Part B, 1989, 23(1): 1-17.
[3] Watling D. Asymmetric problems and stochastic process models of traffic assignment[J]. Transportation Research Part B, 1996, 30(5): 339-357.
[4] Asakura Y. Reliability measures of an origin and destination pair in a deteriorated road network with variable flows[C]∥Proceedings of the 4th Meeting of the EURO Working Group in Transportation, Newcastle UK, 1996: 273-288.
[5] Shao H, Lam W H K, Tam M L. A reliability-based stochastic traffic assignment model for network with multiple user classes under uncertainty in demand[J]. Networks and Spatial Economics, 2006, 6(3/4):173-204.
[6] Hazelton M L, Lee S, Polak J W. Stationary states in stochastic process models of traffic assignment: a Markov chain Monte Carlo approach[C]∥Proceedings of the 13th International Symposium on Transportation and Traffic Theory, Lyon, France, 1996:341-357.
[7] Hazelton M L. Some remarks on stochastic user equilibrium[J]. Transportation Research Part B, 1998,32(2):101-108.
[8] Watling D P. A second order stochastic network equilibrium model. I: theoretical foundation: a second order stochastic network equilibrium model. II: solution method and numerical experiments[J]. Transportation Science,2002,36(2):149-183.
[9] Wei C, Asakura Y, Iryo Y. The posterior probability distribution of traffic flow: a new scheme for the assignment of stochastic traffic flow[J]. Tranportmetrica A:Transport Science,2013,9(8):753-771.
[10] 刘天亮,黄海军.日常择路行为的多智能体模拟[J].物理学报,2007,56(11):6321-6325. Liu Tian-liang,Huang Hai-jun. Multi-agent simulation on day-to-day route choice behavior[J].Acta Physica Sinica,2007,56(11):6321-6325.
[11] 刘诗序,关宏志,严海. 预测信息下的驾驶员逐日路径选择行为与系统演化[J]. 北京工业大学学报,2012,38(2):269-274. Liu Shi-xu,Guan Hong-zhi,Yan Hai. Drivers'day-to-day route choice behavior and system evolution under forecast information[J]. Journal of Beijing University of Technology, 2012,38(2): 269-274.
[12] Sheffi Y. Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods[M]. Englewood Cliffs, NJ: Prentice-Hall,1985.
[13] Metropolis N, Rosenbluth A W, Rosenbluth M N. Equations of state calculations by fast computing machines[J]. Journal of Chemical Physics, 1953,21(6):1087-1091.
[14] Hastings W K. Monte Carlo sampling methods using Markov chains and their applications[J]. Biometrika, 1970,57(1):97-109.
[15] Andrieu C, de Freitas N, Doucet A,et al. An introduction to MCMC for machine learning[J]. Machine Learning, 2003, 50(1):5-43.
[16] 罗清玉,孙宝凤,吴文静,等. 基于Mixed logit模型的拥挤收费下交通方式分担率预测[J]. 吉林大学学报:工学版,2010,40(5):1230-1234. Luo Qing-yu, Sun Bao-feng, Wu Wen-jing,et al. Predicting traffic mode split under congestion pricing based on mixed logit model[J]. Journal of Jilin University (Engineering and Technology Edition), 2010,40(5):1230-1234.
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