考虑司机反应延迟和次近邻车辆影响的格子模型

摘要

综合考虑司机反应延迟和次近邻车辆对行驶车辆的共同作用，提出了基于司机反应延迟的次近邻流量交互的流体力学格子模型。利用非线性分析方法来研究司机反应延迟系数和次近邻流量差对抑制交通阻塞的效果，用mKdV方程来近似描绘亚稳定区域演化过程中出现的扭结－反扭结孤波。最后分析了司机反应延迟和车辆流量差对模型稳定性的影响。%We studied a next-neighbor lattice model by considering the delay of driver′s response to the traffic flow.The stability criterion was derived by the linear stability analysis.The evolution of density wave has been analyzed by using the perturbation method.The results show that the occurrence of traffic jamming transitions is described by the kink and anti-kink solutions of the mKdV equation.Moreover,we studied the influence of the delay of driver′s response and the flux difference on the model stability.