A new car-following model considering the related factors of a gyroidal road

Wen-Xing Zhu and Rui-Ling Yu

Physica A: Statistical Mechanics and its Applications, 2014, vol. 393, issue C, 101-111

Abstract: A novel car-following model was proposed to describe the motion of the vehicles on a single lane gyroidal road. We explore the related effects of gyroidal road upon uniform traffic flow analytically and numerically. The analytical result shows that the related factors of gyroidal road including the friction coefficient, radius of curvature and slope have great influences on the stability of the uniform flow respectively. The modified KdV (Korteweg–de Vries) equation is derived in the unstable area and the kink solution is obtained near the critical point. A series of simulations are conducted to verify the effects upon uniform traffic flow under different road conditions. It is shown that the amplitudes of the headway oscillation wave were affected by the friction coefficient, radius of curvature and slope respectively. The numerical results are in good agreement with the analytical results.

Keywords: Car-following model; Gyroidal road; Stability analysis; Nonlinear analysis (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations: View citations in EconPapers (16)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:393:y:2014:i:c:p:101-111

DOI: 10.1016/j.physa.2013.09.049

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