Stochastic factors and string stability of traffic flow: Analytical investigation and numerical study based on car-following models

被引:28
|
作者
Bouadi, Marouane
Jia, Bin [1 ]
Jiang, Rui [1 ]
Li, Xingang
Gao, Zi-You
机构
[1] Beijing Jiaotong Univ, Inst Traff Syst Sci, Beijing 100044, Peoples R China
基金
中国国家自然科学基金;
关键词
Traffic oscillations; Stochastic continuous car-following models; String stability analysis; Generalized Lyapunov equation; Calibration and validation against empirical; data; DYNAMICS; ACCELERATION; OSCILLATIONS; CONGESTION; SIMULATION; FEATURES; SYSTEMS; STATES;
D O I
10.1016/j.trb.2022.09.007
中图分类号
F [经济];
学科分类号
02 ;
摘要
The emergence dynamics of traffic instability has always attracted particular attention. For several decades, researchers have studied the stability of traffic flow using deterministic traffic models, with less emphasis on the presence of stochastic factors. However, recent empirical and theoretical findings have demonstrated that the stochastic factors tend to destabilize traffic flow and stimulate the concave growth pattern of traffic oscillations. In this paper, we derive a string stability condition of a general stochastic continuous car-following model by the mean of the generalized Lyapunov equation. We have found, indeed, that the presence of stochasticity destabilizes the traffic flow. The impact of stochasticity depends on both the sensitivity to the gap and the sensitivity to the velocity difference. Numerical simulations of three typical car -following models have been carried out to validate our theoretical analysis. Finally, we have calibrated and validated the stochastic car-following models against empirical data. It is found that the stochastic car-following models reproduce the observed traffic instability and capture the concave growth pattern of traffic oscillations. Our results further highlight theoretically and numerically that the stochastic factors have a significant impact on traffic dynamics.
引用
收藏
页码:96 / 122
页数:27
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