中国物理B ›› 2005, Vol. 14 ›› Issue (3): 576-582.doi: 10.1088/1009-1963/14/3/027

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Phase transitions in a new car-following traffic flow model

李莉, 施鹏飞   

  1. Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200030, China
  • 收稿日期:2004-10-20 出版日期:2005-03-02 发布日期:2005-03-02
  • 基金资助:
    Project supported by the State Key Development Programme for Basic Research of China (Grant No G1998030408).

Phase transitions in a new car-following traffic flow model

Li Li (李莉), Shi Peng-Fei (施鹏飞)   

  1. Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2004-10-20 Online:2005-03-02 Published:2005-03-02
  • Supported by:
    Project supported by the State Key Development Programme for Basic Research of China (Grant No G1998030408).

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摘要： In this paper, we investigate the performance of the well-known optimal velocity car-following model (the OVM) with numerical simulation in describing the acceleration process that is induced by the motion of a leading car with a pre-specified speed profile. Results show that this model is to some extent deficient in performing this process. Modification of the OVM to overcome the deficiency is demonstrated. The linear stability for the modified model is analysed. If the linear stability condition can not be satisfied, phase transitions occur on varying the initial homogeneous headway of the traffic flow.

Abstract: In this paper, we investigate the performance of the well-known optimal velocity car-following model (the OVM) with numerical simulation in describing the acceleration process that is induced by the motion of a leading car with a pre-specified speed profile. Results show that this model is to some extent deficient in performing this process. Modification of the OVM to overcome the deficiency is demonstrated. The linear stability for the modified model is analysed. If the linear stability condition can not be satisfied, phase transitions occur on varying the initial homogeneous headway of the traffic flow.

Key words: car-following models, linear stability, phase transitions

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

  • 45.70.Vn
89.40.Bb (Land transportation) 05.70.Fh (Phase transitions: general studies)