中国物理B ›› 2008, Vol. 17 ›› Issue (7): 2366-2372.doi: 10.1088/1674-1056/17/7/008

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New insights into traffic dynamics: a weighted probabilistic cellular automaton model

李志鹏1, 李兴莉2, 宋涛2, 戴世强2, 邝华3   

  1. (1)School of Electronics and Information Engineering, Tongji University, Shanghai 200092, China; (2)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; (3)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 541004, China
  • 收稿日期:2007-11-06 修回日期:2007-11-28 出版日期:2008-07-09 发布日期:2008-07-09
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No 2006CB705500), the National Natural Science Foundation of China (Grant Nos 10532060 and 10562001), the Special Research Fund for the Doctoral Program in Higher Education of China (Grant No SRFDP 20040280014) and the Shanghai Leading Academic Discipline Project of China (Grant No Y0103).

New insights into traffic dynamics: a weighted probabilistic cellular automaton model

Li Xing-Li(李兴莉)a), Kuang Hua(邝华)a)b), Song Tao(宋涛)a), Dai Shi-Qiang(戴世强)a)†, and Li Zhi-Peng(李志鹏)c)   

  1. a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; b College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 541004, China; c School of Electronics and Information Engineering, Tongji University, Shanghai 200092, China 
  • Received:2007-11-06 Revised:2007-11-28 Online:2008-07-09 Published:2008-07-09
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No 2006CB705500), the National Natural Science Foundation of China (Grant Nos 10532060 and 10562001), the Special Research Fund for the Doctoral Program in Higher Education of China (Grant No SRFDP 20040280014) and the Shanghai Leading Academic Discipline Project of China (Grant No Y0103).

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摘要： From the macroscopic viewpoint for describing the acceleration behaviour of drivers, a weighted probabilistic cellular automaton model (the WP model, for short) is proposed by introducing a kind of random acceleration probabilistic distribution function. The fundamental diagrams, the spatiotemporal patterns, are analysed in detail. It is shown that the presented model leads to the results consistent with the empirical data rather well, nonlinear flow--density relationship existing in lower density regions, and a new kind of traffic phenomenon called neo-synchronized flow. Furthermore, we give the criterion for distinguishing the high-speed and low-speed neo-synchronized flows and clarify the mechanism of this kind of traffic phenomenon. In addition, the result that the time evolution of distribution of headways is displayed as a normal distribution further validates the reasonability of the neo-synchronized flow. These findings suggest that the diversity and the randomicity of drivers and vehicles have indeed a remarkable effect on traffic dynamics.

关键词: WP model, unitary random acceleration, neo-synchronized flow, nonlinear flow--density relationship

Abstract: From the macroscopic viewpoint for describing the acceleration behaviour of drivers, a weighted probabilistic cellular automaton model (the WP model, for short) is proposed by introducing a kind of random acceleration probabilistic distribution function. The fundamental diagrams, the spatiotemporal patterns, are analysed in detail. It is shown that the presented model leads to the results consistent with the empirical data rather well, nonlinear flow--density relationship existing in lower density regions, and a new kind of traffic phenomenon called neo-synchronized flow. Furthermore, we give the criterion for distinguishing the high-speed and low-speed neo-synchronized flows and clarify the mechanism of this kind of traffic phenomenon. In addition, the result that the time evolution of distribution of headways is displayed as a normal distribution further validates the reasonability of the neo-synchronized flow. These findings suggest that the diversity and the randomicity of drivers and vehicles have indeed a remarkable effect on traffic dynamics.

Key words: WP model, unitary random acceleration, neo-synchronized flow, nonlinear flow--density relationship

中图分类号:  (Land transportation)

  • 89.40.Bb
02.50.Cw (Probability theory) 02.50.Ng (Distribution theory and Monte Carlo studies) 05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 05.45.-a (Nonlinear dynamics and chaos) 45.70.Vn (Granular models of complex systems; traffic flow)