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Article: Upper bounds for the critical car densities in traffic flow problems

TitleUpper bounds for the critical car densities in traffic flow problems
Authors
KeywordsCellular Automata
Critical Car Density
Traffic Flow
Issue Date1995
PublisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htm
Citation
Journal Of The Physical Society Of Japan, 1995, v. 64 n. 9, p. 3570-3572 How to Cite?
AbstractIn most models of traffic flow, the car density p is the only free parameter in determining the average car velocity 〈v〉. The critical car density p c, which is defined to be the car density separating the jamming phase (with 〈v〉=0) and the moving phase (with 〈v〉>0), is an important physical quantity to investigate. By means of simple statistical argument, we show that p c< 1 for the Biham-Middleton-Levine model of traffic flow in two or higher spatial dimensions. In particular, we show thatp c < 11/12 in 2 dimension andp c≤ 1 -((D- 1)/2D) D in D(D>2) dimensions.
Persistent Identifierhttp://hdl.handle.net/10722/174952
ISSN
2015 Impact Factor: 1.559
2015 SCImago Journal Rankings: 0.720

 

DC FieldValueLanguage
dc.contributor.authorChau, HFen_US
dc.contributor.authorHui, PMen_US
dc.contributor.authorWoo, YFen_US
dc.date.accessioned2012-11-26T08:48:19Z-
dc.date.available2012-11-26T08:48:19Z-
dc.date.issued1995en_US
dc.identifier.citationJournal Of The Physical Society Of Japan, 1995, v. 64 n. 9, p. 3570-3572en_US
dc.identifier.issn0031-9015en_US
dc.identifier.urihttp://hdl.handle.net/10722/174952-
dc.description.abstractIn most models of traffic flow, the car density p is the only free parameter in determining the average car velocity 〈v〉. The critical car density p c, which is defined to be the car density separating the jamming phase (with 〈v〉=0) and the moving phase (with 〈v〉>0), is an important physical quantity to investigate. By means of simple statistical argument, we show that p c< 1 for the Biham-Middleton-Levine model of traffic flow in two or higher spatial dimensions. In particular, we show thatp c < 11/12 in 2 dimension andp c≤ 1 -((D- 1)/2D) D in D(D>2) dimensions.en_US
dc.languageengen_US
dc.publisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htmen_US
dc.relation.ispartofJournal of the Physical Society of Japanen_US
dc.subjectCellular Automataen_US
dc.subjectCritical Car Densityen_US
dc.subjectTraffic Flowen_US
dc.titleUpper bounds for the critical car densities in traffic flow problemsen_US
dc.typeArticleen_US
dc.identifier.emailChau, HF: hfchau@hku.hken_US
dc.identifier.authorityChau, HF=rp00669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-21844488323en_US
dc.identifier.volume64en_US
dc.identifier.issue9en_US
dc.identifier.spage3570en_US
dc.identifier.epage3572en_US
dc.publisher.placeJapanen_US
dc.identifier.scopusauthoridChau, HF=7005742276en_US
dc.identifier.scopusauthoridHui, PM=7101621834en_US
dc.identifier.scopusauthoridWoo, YF=7102661521en_US

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