An improved car-following model considering the influence of optimal velocity for leading vehicle

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)1469-1478
Journal / PublicationNonlinear Dynamics
Volume85
Issue number3
Online published22 Apr 2016
Publication statusPublished - Aug 2016

Abstract

In the paper, an improved car-following model based on the full velocity difference model considering the influence of optimal velocity for leading vehicle on a single-lane road is proposed. The linear stability condition of the model is obtained by applying the linear stability theory. Through nonlinear analysis, the time-dependent Ginzburg–Landau (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are derived to describe the traffic flow near the critical point. In addition, the connection between the TDGL and the mKdV equations is also given. Good agreement between the simulation and the theoretical results shows that the improved model can be enhanced the stability of traffic flow.

Research Area(s)

  • Car-following model, mKdV equation, Phase transition, TDGL equation, Traffic flow

Citation Format(s)

An improved car-following model considering the influence of optimal velocity for leading vehicle. / Fangxun, Liu; Rongjun, Cheng; Hongxia, Ge et al.

In: Nonlinear Dynamics, Vol. 85, No. 3, 08.2016, p. 1469-1478.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review