中国物理B ›› 2006, Vol. 15 ›› Issue (7): 1570-1576.doi: 10.1088/1009-1963/15/7/032

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

A velocity-difference-separation model for car-following theory

李志鹏, 刘允才   

  1. Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200030, China
  • 收稿日期:2005-08-30 修回日期:2005-12-09 出版日期:2006-07-20 发布日期:2006-07-20
  • 基金资助:
    Project supported by the Key Foundation Project of Shanghai, China (Grant No 032912066).

A velocity-difference-separation model for car-following theory

Li Zhi-Peng (李志鹏), Liu Yun-Cai (刘允才)   

  1. Institute of Image Processing and Pattern Recognition, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2005-08-30 Revised:2005-12-09 Online:2006-07-20 Published:2006-07-20
  • Supported by:
    Project supported by the Key Foundation Project of Shanghai, China (Grant No 032912066).

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摘要： We introduce a velocity-difference-separation model that modifies the previous models in the literature. The improvement of this new model over the previous ones lies in that it not only theoretically retains many strong points of the previous ones, but also performs more realistically than others in the dynamical evolution of congestion. Furthermore, the proposed model is investigated with analytic and numerical methods, with the finding that it can demonstrate some complex physical features observed in real traffic such as the existence of three phases: free flow, synchronized flow, and wide moving jam; sudden flow drop in flow-density plane; and traffic hysteresis in transition between the free and the synchronized flow.

Abstract: We introduce a velocity-difference-separation model that modifies the previous models in the literature. The improvement of this new model over the previous ones lies in that it not only theoretically retains many strong points of the previous ones, but also performs more realistically than others in the dynamical evolution of congestion. Furthermore, the proposed model is investigated with analytic and numerical methods, with the finding that it can demonstrate some complex physical features observed in real traffic such as the existence of three phases: free flow, synchronized flow, and wide moving jam; sudden flow drop in flow-density plane; and traffic hysteresis in transition between the free and the synchronized flow.

Key words: car-following models, inter-vehicle separation, traffic flow

中图分类号:  (Land transportation)

  • 89.40.Bb
45.70.Vn (Granular models of complex systems; traffic flow)