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arXiv · 1907.13544

Modeling random traffic accidents by conservation laws

Simone Göttlich·Stephan Knapp
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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.

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Simone Göttlich, Stephan Knapp. 2019-07-31. Modeling random traffic accidents by conservation laws. https://doi.org/10.3934/mbe.2020088

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