论文标题
关于通用网络上车辆交通的微观建模
On The Microscopic Modeling of Vehicular Traffic on General Networks
论文作者
论文摘要
我们介绍了一种形式主义，以处理道路网络上车辆交通的微观建模。每条道路上的交通都是单向的，每辆车的动力学都由跟随领导模型描述。从数学的角度来看，这相当于定义任意网络上普通微分方程的系统。提供了一般的存在和独特性结果，而在连接处的优先级则表现为阻碍解决方案的稳定性。我们研究了该模型中时间依赖性设置中盲文悖论的发生。 NASH平衡在非平稳情况下的出现导致盲目型悖论的出现，这得到了数值模拟的支持。
We introduce a formalism to deal with the microscopic modeling of vehicular traffic on a road network. Traffic on each road is uni-directional, and the dynamics of each vehicle is described by a Follow-the-Leader model. From a mathematical point of view, this amounts to define a system of ordinary differential equations on an arbitrary network. A general existence and uniqueness result is provided, while priorities at junctions are shown to hinder the stability of solutions. We investigate the occurrence of the Braess paradox in a time-dependent setting within this model. The emergence of Nash equilibria in a non-stationary situation results in the appearance of Braess type paradoxes, and this is supported by numerical simulations.
