A new car-following model considering velocity anticipation

doi:10.1088/1674-1056/19/1/010511

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.

Keywords: car-following traffic flow velocity anticipation

Received: 06 July 2009
Revised: 17 July 2009
Accepted manuscript online:

PACS:	45.70.Vn	(Granular models of complex systems; traffic flow)
	05.45.Yv	(Solitons)
	89.40.-a	(Transportation)

Fund: 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).

Cite this article:

Tian Jun-Fang(田钧方), Jia Bin(贾斌), Li Xin-Gang(李新刚), and Gao Zi-You(高自友) A new car-following model considering velocity anticipation 2010 Chin. Phys. B 19 010511

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