Phase transitions and optimal transport in stochastic roundabout traffic

DC FieldValueLanguage
dc.contributor.authorFoulaadvand, M. Ebrahim
dc.contributor.authorMaass, Philipp
dc.date.accessioned2021-12-23T16:13:43Z-
dc.date.available2021-12-23T16:13:43Z-
dc.date.issued2016
dc.identifier.issn24700045
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/10715-
dc.description.abstractWe study traffic in a roundabout model, where the dynamics along the interior lane of the roundabout are described by the totally asymmetric simple exclusion process (TASEP). Vehicles can enter the interior lane or exit from it via S intersecting streets with given rates, and locally modified dynamics at the junctions take into account that collisions of entering vehicles with vehicles approaching the entrance point from the interior lane should be avoided. A route matrix specifies the probabilities for vehicles to arrive from and to exit to certain intersecting streets. By subdividing the interior lane into segments between consecutive intersecting streets with effective entrance and exit rates, a classification of the stationary roundabout traffic in terms of TASEP multiphases is given, where each segment can be in either the low-density, high-density, or maximum current TASEP phase. A general methodology is developed, which allows one to calculate the multiphases and optimal throughput conditions based on a mean-field treatment. Explicit analytical results from this treatment are derived for equivalent interesting streets. The results are shown to be in good agreement with kinetic Monte Carlo simulations.
dc.description.sponsorshipOsnabruck University; M.E.F. would like to thank the Osnabruck University for kind hospitality and support during two visits, where major parts of this work were carried out. We are grateful to Azadeh Saeidi for technical support in preparing the manuscript.
dc.language.isoen
dc.publisherAMER PHYSICAL SOC
dc.relation.ispartofPHYSICAL REVIEW E
dc.subjectDIAGRAMS
dc.subjectFLOW
dc.subjectGAME
dc.subjectINTERSECTION
dc.subjectMODEL
dc.subjectMONTE-CARLO
dc.subjectOPTIMIZATION
dc.subjectPhysics
dc.subjectPhysics, Fluids & Plasmas
dc.subjectPhysics, Mathematical
dc.subjectSIMULATION
dc.titlePhase transitions and optimal transport in stochastic roundabout traffic
dc.typejournal article
dc.identifier.doi10.1103/PhysRevE.94.012304
dc.identifier.isiISI:000379726500003
dc.description.volume94
dc.description.issue1
dc.contributor.orcid0000-0002-1268-8688
dc.contributor.researcheridH-1477-2011
dc.contributor.researcheridA-5851-2019
dc.identifier.eissn24700053
dc.publisher.placeONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
dcterms.isPartOf.abbreviationPhys. Rev. E
crisitem.author.deptFB 04 - Physik-
crisitem.author.deptidfb04-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidMaPh688-
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