Microscopic and Macroscopic Traffic Flow Models including Random Accidents
Probability
2021-11-19 v2 Numerical Analysis
Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2008.11987,
title = {Microscopic and Macroscopic Traffic Flow Models including Random Accidents},
author = {Simone Göttlich and Thomas Schillinger},
journal= {arXiv preprint arXiv:2008.11987},
year = {2021}
}
Comments
32 pages, 6 figures