Modeling random traffic accidents by conservation laws

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 s...

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Bibliographic Details
Main Authors: Simone Göttlich, Stephan Knapp
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2020088?viewType=HTML