Multiscale analysis of a spatially heterogeneous microscopic traffic model

JP Ward, RE Wilson, P Berg

Research output: Contribution to journalArticle (Academic Journal)

3 Citations (Scopus)

Abstract

The microscopic Optimal Velicuty (OV) model is posed on an inhomogeneous ring-road, consisting of two spatial regimes which differ by a scaled OV function. Parameters are chosen throughout for which all uniform ows are linearly stable. The large-time behaviour of this discrete system is stationary and exhibits three types of macroscopic traffic pattern, each consisting of plateaux joined together by sharp interfaces. At a coarse level, these patterns are determined by simple ow and density balances, which in some cases have non-unique solutions. The theory of characteristics for the classical Lighthill-Whitham PDE model is then applied to explain which pattern the OV model selects. A global analysis of a second order PDE model is then performed in an attempt to explain some qualitative details of interface structure. FInally, the full microscopic model is analysed at the linear level to explain features which cannot be described by the present macroscopic approaches.
Translated title of the contributionMultiscale analysis of a spatially heterogeneous microscopic traffic model
Original languageEnglish
Pages (from-to)1 - 12
Number of pages12
JournalPhysica D: Nonlinear Phenomena
Volume236 (1)
DOIs
Publication statusPublished - Dec 2007

Bibliographical note

Publisher: Elsevier

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