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

• Published in: Physica A Vol. 391; no. 3; pp. 656 - 663
• Main Authors: Peng, G.H., Cai, X.H., Cao, B.F., Liu, C.Q.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-02-2012
• Subjects: Freeways; Interruption; Lattice model; Lattices; Mathematical analysis; Mathematical models; Statistical mechanics; Traffic engineering; Traffic flow; Traffic interruption probability; Traffic interruption probability; Traffic flow; Lattice model
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2011.08.066

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.
► A new lattice model of traffic flow with the consideration of the traffic interruption probability has been presented. ► The traffic interruption probability on the stability of traffic flow has been explored. ► The modified KdV equation near the critical point is derived to describe the traffic jam by nonlinear analysis. ► The analytical and numerical results show that the traffic interruption probability can improve the stability of traffic flow.