Modeling random traffic accidents by conservation laws


Göttlich, Simone ; Knapp, Stephan


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DOI: https://doi.org/10.3934/mbe.2020088
URL: https://madoc.bib.uni-mannheim.de/55238
Additional URL: http://www.aimspress.com/article/10.3934/mbe.20200...
URN: urn:nbn:de:bsz:180-madoc-552384
Document Type: Article
Year of publication: 2020
The title of a journal, publication series: Mathematical Biosciences and Engineering : MBE
Volume: 17
Issue number: 2
Page range: 1677-1701
Place of publication: Springfield, MO
Publishing house: American Institute of Mathematical Sciences
ISSN: 1547-1063 , 1551-0018
Related URLs: https://www.researchgate.net/publication/338322217_Modeling_random_traffic_accidents_by_conservation_laws, https://arxiv.org/abs/1907.13544
Publication language: English
Institution: School of Business Informatics and Mathematics > Wissenschaftliches Rechnen (Göttlich 2011-)
Pre-existing license: Creative Commons Attribution 4.0 International (CC BY 4.0)
Subject: 510 Mathematics
Abstract: We introduce a stochastic traffic flow model to describe random traffic accidents on a singleroad. The model is a piecewise deterministic process incorporating traffic accidents and is based on ascalar conservation law with space-dependent flux function. Using a Lax-Friedrichs discretization, weshow that the total variation is bounded in finite time and provide a theoretical framework to embedthe stochastic process. Additionally, a solution algorithm is introduced to also investigate the modelnumerically.

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Göttlich, Simone ORCID: 0000-0002-8512-4525 ; Knapp, Stephan (2020) Modeling random traffic accidents by conservation laws. Open Access Mathematical Biosciences and Engineering : MBE Springfield, MO 17 2 1677-1701 [Article]
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ORCID: Göttlich, Simone ORCID: 0000-0002-8512-4525 ; Knapp, Stephan

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