Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 562, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physa.2020.125303
Keywords
Traffic flow; Car-following model; Headway changes with memory; Backward looking effect
Categories
Funding
- National Natural Science Foundation of China [71801149, 71801153]
- Natural Science Foundation of Shanghai [20ZR1422300]
- Technical Service Platform for Vibration and Noise Testing and Control of New Energy Vehicles [18DZ2295900]
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The newly proposed car-following model that considers backward looking effect and headway changes with memory shows through numerical simulations that it can better stabilize traffic flow and eliminate traffic congestion.
In order to research the effects of headway changes with memory and backward looking effect on traffic flow, in the light of the full velocity difference model (FVDM), a novel car-following model that considers backward looking effect and headway changes with memory is proposed. The use of linear stability theory is to obtain the stability criterion that can judge traffic flow stability. In addition, on the basis of nonlinear theory, the time-dependent Ginzburg-Lan (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation near the critical stability point are inferred. The kink-antikink solutions of the above two equations can be used to describe the traffic jam. In the end, numerical simulation is carried out, and the results further demonstrate that the novel model can stabilize traffic flow and eliminate traffic jam better. (C) 2020 Elsevier B.V. All rights reserved.
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