A NEW LATTICE MODEL OF TWO-LANE TRAFFIC FLOW WITH THE CONSIDERATION OF MULTI-ANTICIPATION EFFECT
Guanghan Peng ()
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Guanghan Peng: College of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China
International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 07, 1-13
In this paper, a new two-lane lattice model of traffic flow is proposed with the consideration of multi-anticipation effect. The linear stability condition of two-lane traffic is derived with the multi-anticipation effect term by linear stability analysis, which shows that the stable region enlarges with the number of multi-anticipation sites increasing. Nonlinear analysis near the critical point is carried out to obtain kink–antikink soliton solution of the mKdV equation with the multi-anticipation effect term. Numerical simulation also shows that the multi-anticipation effect can suppress the traffic jam efficiently with lane changing in two-lane system.
Keywords: Traffic flow; lattice model; multi-anticipation effect; two lanes; 05.70.Fh; 05.70.Jk; 64.60.Fr (search for similar items in EconPapers)
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