含时空扰动的一个城市交通流非线性动力学模型

A new non-linear dynamical model for urban traffic flow with a space-time perturbation

交通流问题是当今社会正面临的一个严峻问题之一,对交通流问题的研究有着重要的现实意义和理论意义.根据车辆跟驰模型和流体动力学模型的建模思想,采用宏观和微观相结合的方法,建立了一个含时空扰动因子的城市交通流非线性动力学模型.同时,设计了3个交通流算例,并将所建立的模型应用于该算例的数值模拟,结果表明:所建立的模型能够较好地模拟实际交通流的许多重要的基本特征.

Traffic problem is one of rigorous problems which society faces at present.It is of great practical and theoretic significance to the research of traffic-flow problem.A new non-linear dynamical model for urban traffic flow is established by combining micro models and macro models of traffic flow,based on the ideas of the car-following models and fluid dynamical models.Three traffic-flow examples are designed for the application of the new model. The new model is verified and applied by numerical simulation ...