延迟时间交通流模型的超离散化

Ultra-discretization on traffic flow model with delay time

研究Newell的延迟微分方程的交通流模型.应用modified Lotka-Volterra方程的求解方法,对此延迟微分方程进行超离散化,同时给出了超离散方程的解,最后分析交通阻塞的延迟传播.

Newell＇s traffic flow model for delay differential equation is studied. The ultra-discretization of the delay differential equation is constructed by using the method of solving modified Lotka-Volterra equation. Meanwhile,traveling wave solutions for the obtained delay difference equation are discussed. Finally,it is showed for traffic jam delay propagation.