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A new lattice model of traffic flow considering driver’s anticipation effect of the traffic interruption probability

Guanghan Peng, Hua Kuang and Li Qing

Physica A: Statistical Mechanics and its Applications, 2018, vol. 507, issue C, 374-380

Abstract: In this paper, a new lattice model is proposed by considering the driver’s anticipation effect of traffic interruption probability. The stability condition of the extended model is obtained by the linear stability analysis, which shows that the driver’s anticipation effect of traffic interruption probability can enlarge the stable area of traffic flow. The kink–antikink soliton solution of the modified Korteweg–de Vries (KdV) equation is derived from nonlinear analysis, which can describe the coexisting phase. The simulation results also show that driver’s anticipation effect of the traffic interruption probability could stabilize traffic flow.

Keywords: Traffic flow; Lattice model; Driver anticipation; Traffic interruption probability (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:507:y:2018:i:c:p:374-380

DOI: 10.1016/j.physa.2018.05.095

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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