Modeling random traffic accidents by conservation laws
Probability
2019-12-13 v1 Numerical Analysis
Numerical Analysis
Abstract
We introduce a stochastic traffic flow model to describe random traffic accidents on a single road. The model is a piecewise deterministic process incorporating traffic accidents and is based on a scalar conservation law with space-dependent flux function. Using a Lax-Friedrichs discretization, we show that the total variation is bounded in finite time and provide a theoretical framework to embed the stochastic process. Additionally, a solution algorithm is introduced to also investigate the model numerically.
Cite
@article{arxiv.1907.13544,
title = {Modeling random traffic accidents by conservation laws},
author = {Simone Göttlich and Stephan Knapp},
journal= {arXiv preprint arXiv:1907.13544},
year = {2019}
}
Comments
17 pages