Statistical analysis of aggregation in freeway traffic
Li Jun-Wei(李俊卫)a), Lin Bo-Liang(林柏梁)a), and Huang Yong-Chang(黄永畅)b)
a State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China; b Institute of Theoretical Physics, College of Applied Sciences, Beijing University of Technology, Beijing 100022, China
Abstract We restudy the master-equation approach to aggregation in freeway traffic based on the theory of birth--death process, in which the clustering behaviour in one-lane freeway traffic model is investigated. The transition probabilities for the jump processes are reconstructed by using Greenshields' model, and the equation of the mean size of the cluster at any time t is derived from the birth--death equation. Numerical experiments show the clustering behaviours varying with time very well.
Received: 18 June 2006
Revised: 08 September 2006
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10435080), the State
Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong
University, China.
Cite this article:
Li Jun-Wei(李俊卫), Lin Bo-Liang(林柏梁), and Huang Yong-Chang(黄永畅) Statistical analysis of aggregation in freeway traffic 2007 Chinese Physics 16 753
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