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Mechanisms of jamming in the Nagel-Schreckenberg model for traffic flow

TitleMechanisms of jamming in the Nagel-Schreckenberg model for traffic flow
Publication TypeJournal Article
Year of Publication2017
AuthorsBette HM, Habel L, Emig T, Schreckenberg M
JournalPhysical Review E
Volume95
Issue1
Date PublishedJan-2017
ISSN2470-0045
Abstract

We study the Nagel-Schreckenberg cellular automata model for traffic flow by both simulations and analytical techniques. To better understand the nature of the jamming transition, we analyze the fraction of stopped cars P(v=0) as a function of the mean car density. We present a simple argument that yields an estimate for the free density where jamming occurs, and show satisfying agreement with simulation results. We demonstrate that the fraction of jammed cars P(v∈{0,1}) can be decomposed into the three factors (jamming rate, jam lifetime, and jam size) for which we derive, from random walk arguments, exponents that control their scaling close to the critical density.

URLhttps://link.aps.org/doi/10.1103/PhysRevE.95.012311
DOI10.1103/PhysRevE.95.012311
Short TitlePhys. Rev. E
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