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Article: Existence and uniqueness of a solution for the multi-class user equilibrium problem in a continuum transportation system

TitleExistence and uniqueness of a solution for the multi-class user equilibrium problem in a continuum transportation system
Authors
Ho, HWWong, SCHau, TD
KeywordsContinuum transportation system
Existence
Multi-class
Multi-facility
Uniqueness
User equilibrium
Issue Date2007
PublisherTaylor & Francis Ltd.. The Journal's web site is located at http://www.tandf.co.uk/journals/ttra
Citation
Transportmetrica, 2007, v. 3 n. 2, p. 107-117 How to Cite?
AbstractConsider a city with several facilities competing for multi-class users that are distributed continuously over space. Within the city region, the road network is relatively dense and is considered as a continuum. The demand distribution function is formulated as a logit-type function for modeling the probabilistic choice behavior of facilities for different classes of users. A minimization problem that describes this multi-class and multi-facility choice is set up for finding the user equilibrium flow pattern. This paper aims to study the existence and uniqueness of a solution of this multi-class and multi-facility user equilibrium problem with demand distribution. The assumptions and conditions for the existence and uniqueness of solution are given.
Persistent Identifierhttp://hdl.handle.net/10722/70916
ISSN
1812-8602
2014 Impact Factor: 3.773
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorHo, HWen_HK
dc.contributor.authorWong, SCen_HK
dc.contributor.authorHau, TDen_HK
dc.date.accessioned2010-09-06T06:27:16Z-
dc.date.available2010-09-06T06:27:16Z-
dc.date.issued2007en_HK
dc.identifier.citationTransportmetrica, 2007, v. 3 n. 2, p. 107-117en_HK
dc.identifier.issn1812-8602en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70916-
dc.description.abstractConsider a city with several facilities competing for multi-class users that are distributed continuously over space. Within the city region, the road network is relatively dense and is considered as a continuum. The demand distribution function is formulated as a logit-type function for modeling the probabilistic choice behavior of facilities for different classes of users. A minimization problem that describes this multi-class and multi-facility choice is set up for finding the user equilibrium flow pattern. This paper aims to study the existence and uniqueness of a solution of this multi-class and multi-facility user equilibrium problem with demand distribution. The assumptions and conditions for the existence and uniqueness of solution are given.en_HK
dc.languageengen_HK
dc.publisherTaylor & Francis Ltd.. The Journal's web site is located at http://www.tandf.co.uk/journals/ttraen_HK
dc.relation.ispartofTransportmetricaen_HK
dc.subjectContinuum transportation systemen_HK
dc.subjectExistenceen_HK
dc.subjectMulti-classen_HK
dc.subjectMulti-facilityen_HK
dc.subjectUniquenessen_HK
dc.subjectUser equilibriumen_HK
dc.titleExistence and uniqueness of a solution for the multi-class user equilibrium problem in a continuum transportation systemen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1812-8602&volume=3&spage=107&epage=117&date=2007&atitle=Existence+and+uniqueness+of+a+solution+for+the+multi-class+user+equilibrium+problem+in+a+continuum+transportation+systemen_HK
dc.identifier.emailWong, SC: hhecwsc@hku.hken_HK
dc.identifier.emailHau, TD: timhau@hku.hken_HK
dc.identifier.authorityWong, SC=rp00191en_HK
dc.identifier.authorityHau, TD=rp01068en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-49049107929en_HK
dc.identifier.hkuros126578en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-49049107929&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume3en_HK
dc.identifier.issue2en_HK
dc.identifier.spage107en_HK
dc.identifier.epage117en_HK
dc.publisher.placeHong Kongen_HK
dc.identifier.scopusauthoridHo, HW=7401465335en_HK
dc.identifier.scopusauthoridWong, SC=24323361400en_HK
dc.identifier.scopusauthoridHau, TD=24404637500en_HK
dc.identifier.issnl1812-8602-

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