中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10511-010511.doi: 10.1088/1674-1056/19/1/010511

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A new car-following model considering velocity anticipation

田钧方, 贾斌, 李新刚, 高自友   

  1. MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China
  • 收稿日期:2009-07-06 修回日期:2009-07-17 出版日期:2010-01-15 发布日期:2010-01-15
  • 基金资助:
    Project supported by the National Basic Research Program of China (Grant No. 2006CB705500), the National Natural Science Foundation of China (Grant Nos. 70501004, 70701004 and 70631001) and the Program for New Century Talents in University, Ministry of Education, China (Grant No. NCET-07-0057).

A new car-following model considering velocity anticipation

Tian Jun-Fang(田钧方), Jia Bin(贾斌)†, Li Xin-Gang(李新刚), and Gao Zi-You(高自友)   

  1. MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China
  • Received:2009-07-06 Revised:2009-07-17 Online:2010-01-15 Published:2010-01-15
  • Supported by:
    Project supported by the National Basic Research Program of China (Grant No. 2006CB705500), the National Natural Science Foundation of China (Grant Nos. 70501004, 70701004 and 70631001) and the Program for New Century Talents in University, Ministry of Education, China (Grant No. NCET-07-0057).

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摘要： The full velocity difference model proposed by Jiang et al. [2001 Phys. Rev. E 64 017101] has been improved by introducing velocity anticipation. Velocity anticipation means the follower estimates the future velocity of the leader. The stability condition of the new model is obtained by using the linear stability theory. Theoretical results show that the stability region increases when we increase the anticipation time interval. The mKdV equation is derived to describe the kink--antikink soliton wave and obtain the coexisting stability line. The delay time of car motion and kinematic wave speed at jam density are obtained in this model. Numerical simulations exhibit that when we increase the anticipation time interval enough, the new model could avoid accidents under urgent braking cases. Also, the traffic jam could be suppressed by considering the anticipation velocity. All results demonstrate that this model is an improvement on the full velocity difference model.

Abstract: The full velocity difference model proposed by Jiang et al. [2001 Phys. Rev. E 64 017101] has been improved by introducing velocity anticipation. Velocity anticipation means the follower estimates the future velocity of the leader. The stability condition of the new model is obtained by using the linear stability theory. Theoretical results show that the stability region increases when we increase the anticipation time interval. The mKdV equation is derived to describe the kink--antikink soliton wave and obtain the coexisting stability line. The delay time of car motion and kinematic wave speed at jam density are obtained in this model. Numerical simulations exhibit that when we increase the anticipation time interval enough, the new model could avoid accidents under urgent braking cases. Also, the traffic jam could be suppressed by considering the anticipation velocity. All results demonstrate that this model is an improvement on the full velocity difference model.

Key words: car-following, traffic flow, velocity anticipation

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

  • 45.70.Vn
05.45.Yv (Solitons) 89.40.-a (Transportation)