The Biham-Middleton-Levine traffic model for a single junction

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dc.creatorBenjamini, Itai
dc.creatorGurel-Gurevich, Ori
dc.creatorIzkovsky, Roey
dc.date2007-03-07
dc.date2007-09-11
dc.date.accessioned2026-07-07T08:28:37Z
dc.date.available2026-07-07T08:28:37Z
dc.descriptionIn the Biham-Middleton-Levine traffic model cars are placed with some density p on a two dimensional torus, and move according to a (simple) set of predefined rules. Computer simulations show this system exhibits many interesting phenomena: for low densities the system self organizes such that cars flow freely while for densities higher than some critical density the system gets stuck in an endless traffic jam. However, apart from the simulation results very few properties of the system were proven rigorously to date. We introduce a simplified version of this model in which cars are placed in a single row and column (a junction) and show that similar phenomena of self-organization of the system and phase transition still occur.
dc.description21 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/math/0703201
dc.identifierhttp://arxiv.org/abs/math/0703201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137684
dc.subjectProbability
dc.subjectDynamical Systems
dc.subject60K35
dc.titleThe Biham-Middleton-Levine traffic model for a single junction
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