中国物理B ›› 2007, Vol. 16 ›› Issue (3): 753-757.doi: 10.1088/1009-1963/16/3/032

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Statistical analysis of aggregation in freeway traffic

黄永畅1, 李俊卫2, 林柏梁2   

  1. (1)Institute of Theoretical Physics, College of Applied Sciences, Beijing University of Technology, Beijing 100022, China; (2)State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China
  • 收稿日期:2006-06-18 修回日期:2006-09-08 出版日期:2007-03-20 发布日期:2007-03-20
  • 基金资助:
    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.

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)   

  1. 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
  • Received:2006-06-18 Revised:2006-09-08 Online:2007-03-20 Published:2007-03-20
  • Supported by:
    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.

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摘要： 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.

关键词: traffic flow, statistics mechanism, master equation, birth--death process

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.

Key words: traffic flow, statistics mechanism, master equation, birth--death process

中图分类号:  (Stochastic analysis)

  • 02.50.Fz
02.50.Cw (Probability theory) 89.40.Bb (Land transportation)