一个改进的宏观交通流模型及数值计算

Improved Macroscopic Traffic Flow Model and Numerical Simulation

基于考虑多前车信息的微观多车跟车模型,按照交通流研究中采用的微观-宏观参量关联关系,提出一个改进的宏观交通流动力学模型。获得了该改进模型线性稳定的判别条件。数值仿真和一阶波传播速度分析表明该模型能够模拟交通流的堵塞和疏导等实际交通流现象,多前车信息对宏观交通流波动性存在不可忽视的影响。

Based on a microscopic multiple vehicles car-following model with the consideration of effect of the multiple front vehicles＇ information to the following car, an improved macroscopic traffic flow dynamic model was deduced by the relevancy relation of microscopic and macroscopic scale parameter for the traffic flow. The linear stable judging condition was obtained to the improved model. Numerical simulation and diffuseness velocity analyzing of the first order wave indicate that the proposed model can simulate traffic flow jam and leading real phenomena. And there was unavoidable effect of macroscopic traffic flow wave from the multiple vicinity order front vehicles＇ information