包含随机事故的微观和宏观交通流模型
Microscopic and Macroscopic Traffic Flow Models including Random Accidents
摘要：
介绍了包含交通事故的微观和宏观随机交通模型。微观模型是基于跟随领导者的方法，而宏观模型是由标量守恒律与空间相关的通量函数。事故是作为确定性演化的中断而引入的，并与交通状况直接相关。基于拉克斯-弗里德里希离散收敛的微观模型的宏观模型。数值模拟比较上述模型，并显示其收敛行为。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
