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Derivation of a first order traffic flow model of Lighthill-Whitham-Richards type

: Burger, M.; Göttlich, S.; Jung, T.

Volltext urn:nbn:de:0011-n-5310619 (418 KByte PDF)
MD5 Fingerprint: fd4c476848b597531c315b2cde2513b6
Erstellt am: 15.1.2019

IFAC-PapersOnLine 51 (2018), Nr.9, S.49-54
ISSN: 2405-8963
ISSN: 1474-6670
Zeitschriftenaufsatz, Elektronische Publikation
Fraunhofer ITWM ()

In this paper, we introduce a new type of macroscopic traffic model which, includes a delay term in the flux function. We start from a delayed microscopic model and use well-known techniques to derive a corresponding first order macroscopic traffic model. This leads to a delayed hyperbolic partial differential equation converging to the classical Lighthill-Whitham-Richards (LWR) model for diminishing delay. Furthermore, we present numerical results to show the impact of the delay, and to verify the new model we found. To do so, we adapt known methods to analyze the derived equations numerically.