Stability analysis of stochastic second-order macroscopic continuum models and numerical simulations
点击次数:
影响因子:6.8
发表刊物:Transportation Research Part B: Methodological
摘要:Second-order macroscopic continuum models have been constantly improving for decades to reproduce the empirical observations. Recently, a series of experimental studies have suggested that the stochastic factors contribute significantly to destabilizing traffic flow. Nevertheless, the traffic flow stability of the stochastic second-order macroscopic continuum model has not received the attention it deserves in past studies. More importantly, we have found that the destabilizing aspect of stochasticity is still not correctly validated in the existing theoretical stability analysis. In this paper, we analytically study the impact of stochasticity on traffic flow stability for a general stochastic second-order macroscopic model by using the direct Lyapunov method. Numerical simulations have been carried out for different typical stochastic second-order macroscopic models. Our analytical stability analysis has been validated, and our methodology has been proved more efficient. Our study has theoretically revealed that the presence of stochasticity has a destabilizing effect in usual stochastic macroscopic models.
第一作者:Marouane Bouadi, Bin Jia, Rui Jiang, Xingang Li, Zi-You Gao
论文类型:期刊论文
论文编号:193-209
卷号:16
是否译文:否
发表时间:2022-10-07
收录刊物:SCI、SSCI