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arXiv 2203.04877physics.soc-ph
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交通流的随机因素与串稳定性--基于跟驰模型的解析分析与数值研究

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

Marouane Bouadi, Bin Jia, Rui Jiang, Xingang Li, Zi-You Gao

摘要:

交通不稳定性的出现一直引起人们的特别关注。几十年来,研究人员一直使用确定性交通模型来研究交通流的稳定性,很少强调随机因素的存在。然而,最近的经验和理论研究表明,随机因素往往会破坏交通流的稳定性,并刺激交通振荡的凹增长模式。本文利用广义李雅普诺夫方程得到了一般随机连续跟驰模型的弦稳定性条件。事实上,我们已经发现,随机性的存在使交通流不稳定。随机性的影响取决于对间隙的敏感性和对速度差的敏感性。对三种典型的跟驰模型进行了数值仿真,验证了理论分析的正确性。最后,我们已经校准和验证的随机跟驰模型对经验数据。研究发现,随机跟驰模型再现了观测到的交通不稳定性,并捕捉到了交通振荡的凹增长模式。我们的研究结果进一步突出了理论和数值的随机因素对交通动力学有显着的影响。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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