A new lattice model of traffic flow with the consideration of the traffic interruption probability

G.H. Peng, X.H. Cai, B.F. Cao and C.Q. Liu

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 3, 656-663

Abstract: In this paper, we present a new lattice model which involves the effects of traffic interruption probability to describe the traffic flow on single lane freeways. The stability condition of the new model is obtained by the linear stability analysis and the modified Korteweg–de Vries (KdV) equation is derived through nonlinear analysis. Thus, the space will be divided into three regions: stable, metastable and unstable. The simulation results also show that the traffic interruption probability could stabilize traffic flow.

Keywords: Traffic interruption probability; Lattice model; Traffic flow (search for similar items in EconPapers)
Date: 2012
References: View complete reference list from CitEc
Citations: View citations in EconPapers (27)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:3:p:656-663

DOI: 10.1016/j.physa.2011.08.066

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