论文标题
微观和宏观交通流模型，包括随机事故
Microscopic and Macroscopic Traffic Flow Models including Random Accidents
论文作者
论文摘要
我们介绍了包括交通事故的微观和宏观随机交通模型。显微镜模型基于以下领导方法，而宏观模型由具有空间依赖性通量函数的标量保护定律描述。事故被引入确定性演变的中断，并与交通状况直接相关。显示了微观模型与宏观模型的宽松炸药离散化收敛。提出了数值模拟以比较上述模型并显示其收敛行为。
We introduce microscopic and macroscopic stochastic traffic models including traffic accidents. The microscopic model is based on a Follow-the-Leader approach whereas the macroscopic model is described by a scalar conservation law with space dependent flux function. Accidents are introduced as interruptions of a deterministic evolution and are directly linked to the traffic situation. Based on a Lax-Friedrichs discretization convergence of the microscopic model to the macroscopic model is shown. Numerical simulations are presented to compare the above models and show their convergence behaviour.
