Journal of Zhejiang University-SCIENCE A

, Volume 7, Issue 2, pp 204–209 | Cite as

Numerical analysis on car-following traffic flow models with delay time

  • Li Li  (李莉)
  • Shi Peng-fei  (施鹏飞)


Effects of the speed relaxation time on the optimal velocity car-following model (OVM) with delay time due to driver reaction time proposed by Bando et al. (1995) were studied by numerical methods. Results showed that the OVM including the delay is not physically sensitive to the speed relaxation times. A modified car-following model is proposed to overcome the deficiency. Analyses of the linear stability of the modified model were conducted. It is shown that coexisting flows appear if the initial homogeneous headway of the traffic flow is between critical values. In addition, phase transitions occur on varying the initially homogeneous headway.

Key words

Car-following models Delay time Relaxation time Phase transitions 


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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • Li Li  (李莉)
    • 1
  • Shi Peng-fei  (施鹏飞)
    • 1
  1. 1.Institute of Image Processing and Pattem RecognitionShanghai Jiao Tong UniversityShanghaiChina

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