中国物理B ›› 2009, Vol. 18 ›› Issue (3): 975-983.doi: 10.1088/1674-1056/18/3/022

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A new car-following model with consideration of the traffic interruption probability

黄仕进1, 黄海军2, 姜锐3, 唐铁桥4   

  1. (1)Department of Civil Engineering, University of Hong Kong, Pokfulam Road, Hong Kong SAR, China; (2)School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; (3)School of Engineering Science, University of Science and Technology of China, Hefei 230026, China; (4)School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • 收稿日期:2008-07-24 修回日期:2008-09-20 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 70701002 and 70521001), the National Basic Research Program of China (Grant No 2006CB705503), and the Research Grants Council of the Hong Kong Special Administrative Region o

A new car-following model with consideration of the traffic interruption probability

Tang Tie-Qiao(唐铁桥)a)b), Huang Hai-Jun(黄海军)b)†, Wong S. C.(黄仕进)c), and Jiang Rui(姜锐)d)   

  1. a School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; b School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; c Department of Civil Engineering, University of Hong Kong, Pokfulam Road, Hong Kong SAR, China; d School of Engineering Science, University of Science and Technology of China, Hefei 230026, China
  • Received:2008-07-24 Revised:2008-09-20 Online:2009-03-20 Published:2009-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 70701002 and 70521001), the National Basic Research Program of China (Grant No 2006CB705503), and the Research Grants Council of the Hong Kong Special Administrative Region o

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摘要： In this paper, we present a new car-following model by taking into account the effects of the traffic interruption probability on the car-following behaviour of the following vehicle. The stability condition of the model is obtained by using the linear stability theory. The modified Korteweg--de Vries (KdV) equation is constructed and solved, and three types of traffic flows in the headway sensitivity space---stable, metastable, and unstable---are classified. Both the analytical and simulation results show that the traffic interruption probability indeed has an influence on driving behaviour, and the consideration of traffic interruption probability in the car-following model could stabilize traffic flow.

关键词: car-following model, traffic interruption probability, stability

Abstract: In this paper, we present a new car-following model by taking into account the effects of the traffic interruption probability on the car-following behaviour of the following vehicle. The stability condition of the model is obtained by using the linear stability theory. The modified Korteweg--de Vries (KdV) equation is constructed and solved, and three types of traffic flows in the headway sensitivity space---stable, metastable, and unstable---are classified. Both the analytical and simulation results show that the traffic interruption probability indeed has an influence on driving behaviour, and the consideration of traffic interruption probability in the car-following model could stabilize traffic flow.

Key words: car-following model, traffic interruption probability, stability

中图分类号:  (Granular models of complex systems; traffic flow)

  • 45.70.Vn
89.40.Bb (Land transportation) 02.50.Cw (Probability theory) 07.05.Dz (Control systems)