Stabilisation analysis of multiple car-following model in traffic flow

doi:10.1088/1674-1056/19/5/056401

Abstract An improved multiple car-following model is proposed by considering the arbitrary number of preceding cars, which includes both the headway and the velocity difference of multiple preceding cars. The stability condition of the extended model is obtained by using the linear stability theory. The modified Korteweg--de Vries equation is derived to describe the traffic behaviour near the critical point by applying the nonlinear analysis. Traffic flow can be also divided into three regions: stable, metastable and unstable regions. Numerical simulation is accordance with the analytical result for the model. And numerical simulation shows that the stabilisation of traffic is increasing by considering the information of more leading cars and there is unavoidable effect on traffic flow from the multiple leading cars' information.

Keywords: traffic flow optimal velocity model numerical simulation

Received: 17 September 2009
Revised: 23 October 2009
Accepted manuscript online:

PACS:	89.40.Bb	(Land transportation)
	02.60.Cb	(Numerical simulation; solution of equations)

Fund: Project supported by the Natural Science Foundation of Hunan Province, China (Grant No.~07JJ6106), the Important Project of Scientific Research Foundation of Hunan University of Arts and Science, China (Grant No.~JJZD0902) and the Fund of the 11th Five-year Plan for Key Construction Academic Subject of Hunan Province, China (Grant No.~06GXCD02).

Cite this article:

Peng Guang-Han(彭光含) Stabilisation analysis of multiple car-following model in traffic flow 2010 Chin. Phys. B 19 056401

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