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Chin. Phys. B, 2008, Vol. 17(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

Li Zhi-Penga, Li Xing-Lib, Song Taob, Dai Shi-Qiangb, Kuang Huac
a School of Electronics and Information Engineering, Tongji University, Shanghai 200092, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; c Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 541004, China
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.
Keywords:  WP model      nonlinear flow--density relationship      unitary random acceleration      neo-synchronized flow  
Received:  06 November 2007      Revised:  28 November 2007      Published:  09 July 2008
PACS:  89.40.Bb (Land transportation)  
  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)  
Fund: 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).

Cite this article: 

Li Xing-Li, Kuang Hua, Song Tao, Dai Shi-Qiang, Li Zhi-Peng New insights into traffic dynamics: a weighted probabilistic cellular automaton model 2008 Chin. Phys. B 17 2366

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