An extended car-following model considering driver’s sensory memory and the backward looking effect

Can Chen, Rongjun Cheng and Hongxia Ge

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 278-289

Abstract: On the basis of full velocity difference model (FVDM), an extended car-following model is proposed to account for the effect of driver’s memory and backward looking effect in this paper. The stability conditions of the new model are derived by applying the linear stability analysis. The time-dependent Ginzburg–Lan (TDGL) equation and the modified Korteweg–de Vries (mKdV) equation are derived through nonlinear theory. Moreover, the relationship between the two equations is studied. Numerical simulations show that the stability of traffic flows can be strengthened with the effect of driver’s memory and backward looking effect.

Keywords: Backward-looking effect; Driver’s memory; TDGL equation; mKdV equation (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:278-289

DOI: 10.1016/j.physa.2019.03.099

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