Multiple flux difference effect in the lattice hydrodynamic model

doi:10.1088/1674-1056/21/2/020512

Abstract Considering the effect of multiple flux difference, an extended lattice model is proposed to improve the stability of traffic flow. The stability condition of the new model is obtained by using linear stability theory. The theoretical analysis result shows that considering the flux difference effect ahead can stabilize traffic flow. The nonlinear analysis is also conducted by using a reductive perturbation method. The modified KdV (mKdV) equation near the critical point is derived and the kink-antikink solution is obtained from the mKdV equation. Numerical simulation results show that the multiple flux difference effect can suppress the traffic jam considerably, which is in line with the analytical result.

Keywords: flux difference lattice hydrodynamic model traffic flow mKdV equation

Received: 05 June 2011
Revised: 25 September 2011
Accepted manuscript online:

PACS:	05.70.Fh	(Phase transitions: general studies)
	05.70.Jk	(Critical point phenomena)
	64.60.F-	(Equilibrium properties near critical points, critical exponents)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 70631001 and 71071012) and the Fundamental Research Funds for the Central Universities (Grant Nos. 2009JBM045 and 2011YJS235).

Corresponding Authors: Gao Zi-You,zygao@bjtu.edu.cn;Zhao Xiao-Mei,xmzhao@bjtu.edu.cn
E-mail: zygao@bjtu.edu.cn;xmzhao@bjtu.edu.cn

Cite this article:

Wang Tao(王涛), Gao Zi-You(高自友), and Zhao Xiao-Mei(赵小梅) Multiple flux difference effect in the lattice hydrodynamic model 2012 Chin. Phys. B 21 020512

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