Car path tracking in traffic flow networks with bounded buffers at junctions

Dambach, Theresa ; Göttlich, Simone ; Knapp, Stephan

Dambach_et_al-2019-Mathematical_Methods_in_the_Applied_Sciences.pdf - Published

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URN: urn:nbn:de:bsz:180-madoc-534117
Document Type: Article
Year of publication: 2019
The title of a journal, publication series: Mathematical Methods in the Applied Sciences : MMAS
Volume: 43
Issue number: 6
Page range: 3331-3353
Place of publication: Chichester [u.a.]
Publishing house: Wiley
ISSN: 0170-4214 , 1099-1476
Publication language: English
Institution: School of Business Informatics and Mathematics > Wissenschaftliches Rechnen (Göttlich 2011-)
License: CC BY 4.0 Creative Commons Attribution 4.0 International (CC BY 4.0)
Subject: 510 Mathematics
Abstract: This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equations. The network is characterized by bounded buffers at junctions that allow for the interpretation of roundabouts or on-ramps while the traffic dynamics is based on first-order macroscopic equations of Lighthill-Whitham-Richards (LWR) type. Trajectories for single drivers are then influenced by the surrounding traffic and can be tracked by appropriate numerical algorithms. The computational experiments show how the modeling framework can be used as navigation device.
Additional information: This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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