Stabilization effect of multiple drivers’ desired velocities in car-following theory

Geng Zhang, Min Zhao, Di-Hua Sun, Wei-Ning Liu and Hua-Min Li

Physica A: Statistical Mechanics and its Applications, 2016, vol. 442, issue C, 532-540

Abstract: In order to reveal the influence of driver’s individual behavior on traffic flow more accurately, a new car-following model is proposed with consideration of multiple drives’ desired velocities. The stability criterion of the new model is derived through linear stability theory and the results show that the current driver’s desired velocity can stabilize traffic flow but the preceding driver’s desired velocity can damage traffic stability. Through nonlinear analysis, the traffic jamming transition characteristics near the critical point can be described by the kink–antikink soliton of the mKdV equation. Numerical simulation confirms the analytical results, which shows that the multiple drivers’ desired velocities play an important role in traffic evolution.

Keywords: Traffic flow; Car-following model; Multiple drivers’ desired velocities; MKdV equation (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:442:y:2016:i:c:p:532-540

DOI: 10.1016/j.physa.2015.09.022

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