@article{ref1,
title="Modeling random traffic accidents by conservation laws",
journal="Mathematical biosciences and engineering",
year="2019",
author="Göttlich, Simone and Knapp, Stephan",
volume="17",
number="2",
pages="1677-1701",
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.<p /> <p>Language: en</p>",
language="en",
issn="1547-1063",
doi="10.3934/mbe.2020088",
url="http://dx.doi.org/10.3934/mbe.2020088"
}