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Chin. Phys. B, 2009, Vol. 18(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

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)
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
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.
Keywords:  car-following model      traffic interruption probability      stability  
Received:  24 July 2008      Revised:  20 September 2008      Accepted manuscript online: 
PACS:  45.70.Vn (Granular models of complex systems; traffic flow)  
  89.40.Bb (Land transportation)  
  02.50.Cw (Probability theory)  
  07.05.Dz (Control systems)  
Fund: 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

Cite this article: 

Tang Tie-Qiao(唐铁桥), Huang Hai-Jun(黄海军), Wong S. C.(黄仕进), and Jiang Rui(姜锐) A new car-following model with consideration of the traffic interruption probability 2009 Chin. Phys. B 18 975

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