Multiple car-following model of traffic flow and numerical simulation
Peng Guang-Han(彭光含)a)b)† and Sun Di-Hua(孙棣华)a)
a College of Automation, Chongqing University, Chongqing 400044, China; b College of Physics and Electronics, Hunan University of Arts and Sciences, Changde 415000, China
Abstract On the basis of the full velocity difference (FVD) model, an improved multiple car-following (MCF) model is proposed by taking into account multiple information inputs from preceding vehicles. The linear stability condition of the model is obtained by using the linear stability theory. Through nonlinear analysis, a modified Korteweg-de Vries equation is constructed and solved. The traffic jam can thus be described by the kink--antikink soliton solution for the mKdV equation. The improvement of this new model over the previous ones lies in the fact 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, numerical simulation of traffic dynamics shows that the proposed model can avoid the disadvantage of negative velocity that occurs at small sensitivity coefficients $\lambda$ in the FVD model by adjusting the information on the multiple leading vehicles. No collision occurs and no unrealistic deceleration appears in the improved model.
Received: 19 December 2008
Revised: 01 June 2009
Accepted manuscript online:
Fund: Project supported by the National
High Tech Research and Development
Program of China (Grant No 511-0910-1031) and the National
``10th Five-year'' Science and Technique Important Program of China
(Grant No 2002BA404A07).
Cite this article:
Peng Guang-Han(彭光含) and Sun Di-Hua(孙棣华) Multiple car-following model of traffic flow and numerical simulation 2009 Chin. Phys. B 18 5420
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