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Article: Kinetic description of bottleneck effects in traffic flow

TitleKinetic description of bottleneck effects in traffic flow
Authors
Zhang, PWu, DYWong, SCTao, YZ
Keywordsδ-mapping algorithm
Discontinuous flux
LWR model
Stop-and-go waves
Issue Date2009
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827
Citation
Applied Mathematics And Mechanics (English Edition), 2009, v. 30 n. 4, p. 425-434 How to Cite?
DOI: http://dx.doi.org/10.1007/s10483-009-0403-z
AbstractThis paper deals with the effects of traffic bottlenecks using an extended Lighthill-Whitham-Richards (LWR) model. The solution structure is analytically indicated by the study of the Riemann problem characterized by a discontinuous flux. This leads to a typical solution describing a queue upstream of the bottleneck and its width and height, and informs the design of a δ-mapping algorithm. More significantly, it is found that the kinetic model is able to reproduce stop-and-go waves for a triangular fundamental diagram. Some simulation examples, which are in agreement with the analytical solutions, are given to support these conclusions. © 2009 Shanghai University and Springer-Verlag GmbH.
Persistent Identifierhttp://hdl.handle.net/10722/58539
ISSN
0253-4827
2021 Impact Factor: 3.918
2020 SCImago Journal Rankings: 0.499
ISI Accession Number ID
WOS:000265039500003
Funding AgencyGrant Number
National Natural Science Foundation of China70629001
10771134
National Basic Research Program of China2006CB705500
Research Grants Council of the Hong Kong Special Administrative Region of ChinaHKU7183/08E
Research Committee of The University of Hong Kong10207394
Funding Information:

Project supported by the National Natural Science Foundation of China (Nos. 70629001 and 10771134), the National Basic Research Program of China (973 Program) (No. 2006CB705500), the Research Grants Council of the Hong Kong Special Administrative Region of China (No. HKU7183/08E), and the Research Committee of The University of Hong Kong (No. 10207394)

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorZhang, Pen_HK
dc.contributor.authorWu, DYen_HK
dc.contributor.authorWong, SCen_HK
dc.contributor.authorTao, YZen_HK
dc.date.accessioned2010-05-31T03:32:11Z-
dc.date.available2010-05-31T03:32:11Z-
dc.date.issued2009en_HK
dc.identifier.citationApplied Mathematics And Mechanics (English Edition), 2009, v. 30 n. 4, p. 425-434en_HK
dc.identifier.issn0253-4827en_HK
dc.identifier.urihttp://hdl.handle.net/10722/58539-
dc.description.abstractThis paper deals with the effects of traffic bottlenecks using an extended Lighthill-Whitham-Richards (LWR) model. The solution structure is analytically indicated by the study of the Riemann problem characterized by a discontinuous flux. This leads to a typical solution describing a queue upstream of the bottleneck and its width and height, and informs the design of a δ-mapping algorithm. More significantly, it is found that the kinetic model is able to reproduce stop-and-go waves for a triangular fundamental diagram. Some simulation examples, which are in agreement with the analytical solutions, are given to support these conclusions. © 2009 Shanghai University and Springer-Verlag GmbH.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0253-4827en_HK
dc.relation.ispartofApplied Mathematics and Mechanics (English Edition)en_HK
dc.subjectδ-mapping algorithmen_HK
dc.subjectDiscontinuous fluxen_HK
dc.subjectLWR modelen_HK
dc.subjectStop-and-go wavesen_HK
dc.titleKinetic description of bottleneck effects in traffic flowen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0253-4827&volume=30&spage=425&epage=434&date=2009&atitle=Kinetic+description+of+bottleneck+effects+in+traffic+flowen_HK
dc.identifier.emailWong, SC:hhecwsc@hku.hken_HK
dc.identifier.authorityWong, SC=rp00191en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s10483-009-0403-zen_HK
dc.identifier.scopuseid_2-s2.0-65349093311en_HK
dc.identifier.hkuros155268en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-65349093311&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume30en_HK
dc.identifier.issue4en_HK
dc.identifier.spage425en_HK
dc.identifier.epage434en_HK
dc.identifier.isiWOS:000265039500003-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridZhang, P=7404158930en_HK
dc.identifier.scopusauthoridWu, DY=26533574600en_HK
dc.identifier.scopusauthoridWong, SC=24323361400en_HK
dc.identifier.scopusauthoridTao, YZ=26533482100en_HK
dc.identifier.citeulike4314435-
dc.identifier.issnl0253-4827-

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