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基于优化速度模型,考虑司机扰动风险偏好异质的影响,提出了扩展模型.通过线性稳定性分析,得到了扩展模型的稳定性条件,表明前车司机扰动风险偏好系数相对跟驰车司机扰动风险偏好系数越小,扩展模型稳定区域越大.通过非线性分析获得了不稳定区域下的扭结-反扭结密度波.数值仿真也表明两者比值越小,越有利于初始稳态车流抑制扰动的传播和交通堵塞的形成.这为减少交通堵塞提供了一个可行的思路,比如按照司机扰动风险偏好系数相对大小由小到大进行排队形成车队行驶等.
Based on the optimal speed model, considering the heterogeneity of driver disturbance risk preference, an extended model is proposed.According to the linear stability analysis, the stability conditions of the extended model are obtained, which shows that the disturbance risk preference coefficient of the former driver is relative to the risk of driver disturbance The smaller the preference coefficient is, the larger the stable region of the extended model is. The kink-kink density wave in the unstable region is obtained by nonlinear analysis. The numerical simulation also shows that the smaller the ratio, the more favorable for the initial steady-state traffic flow to suppress the disturbance Communication and traffic congestion.This provides a feasible idea to reduce traffic congestion, such as according to the driver’s risk appetite coefficient relative size from small to large queuing formation fleet driving.