Analysis of car-following model considering driver’s physical delay in sensing headway

H.B. Zhu and S.Q. Dai

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 13, 3290-3298

Abstract: An extended car-following model is proposed by taking into account the delay of the driver’s response in sensing headway. The stability condition of this model is obtained by using the linear stability theory. The results show that the stability region decreases when the driver’s physical delay in sensing headway increases. The KdV equation and mKdV equation near the neutral stability line and the critical point are respectively derived by applying the reductive perturbation method. The traffic jams could be thus described by soliton solution and kink–antikink soliton solution for the KdV equation and mKdV equation respectively. The numerical results in the form of the space–time evolution of headway show that the stabilization effect is weakened when the driver’s physical delay increases. It confirms the fact that the delay of driver’s response in sensing headway plays an important role in jamming transition, and the numerical results are in good agreement with the theoretical analysis.

Keywords: Car-following model; Traffic flow; Density wave; Driver’s physical delay; Mechanical response time (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:13:p:3290-3298

DOI: 10.1016/j.physa.2008.01.103

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