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Article: A continuous equilibrium model for estimating market areas of competitive facilities with elastic demand and market externality

TitleA continuous equilibrium model for estimating market areas of competitive facilities with elastic demand and market externality
Authors
Issue Date2000
PublisherINFORMS. The Journal's web site is located at http://transci.pubs.informs.org
Citation
Transportation Science, 2000, v. 34 n. 2, p. 216-227 How to Cite?
AbstractWe consider a heterogeneous two-dimensional space where a given set of competitive facilities is located. Customers are assumed to be scattered continuously over the space, and each customer is assumed to choose a facility to minimize individual total cost of receiving service. The total cost consists of both the congested travel time to the facility and a cost associated with the congestion externality at the facility. Furthermore, customer demand at any location is assumed to be a function of the total cost of receiving service. Given these assumptions, it is of interest to estimate the market areas and market shares captured by each competitive facility. This problem is formulated here as a calculus of variations problem, and its optimality conditions are shown to be equivalent to the spatial customer choice equilibrium conditions with elastic demand and market externality. The model is solved by an efficient finite element method and illustrated with a numerical example.
Persistent Identifierhttp://hdl.handle.net/10722/150160
ISSN
2015 Impact Factor: 3.295
2015 SCImago Journal Rankings: 3.263
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorYang, Hen_US
dc.contributor.authorWong, SCen_US
dc.date.accessioned2012-06-26T06:01:56Z-
dc.date.available2012-06-26T06:01:56Z-
dc.date.issued2000en_US
dc.identifier.citationTransportation Science, 2000, v. 34 n. 2, p. 216-227en_US
dc.identifier.issn0041-1655en_US
dc.identifier.urihttp://hdl.handle.net/10722/150160-
dc.description.abstractWe consider a heterogeneous two-dimensional space where a given set of competitive facilities is located. Customers are assumed to be scattered continuously over the space, and each customer is assumed to choose a facility to minimize individual total cost of receiving service. The total cost consists of both the congested travel time to the facility and a cost associated with the congestion externality at the facility. Furthermore, customer demand at any location is assumed to be a function of the total cost of receiving service. Given these assumptions, it is of interest to estimate the market areas and market shares captured by each competitive facility. This problem is formulated here as a calculus of variations problem, and its optimality conditions are shown to be equivalent to the spatial customer choice equilibrium conditions with elastic demand and market externality. The model is solved by an efficient finite element method and illustrated with a numerical example.en_US
dc.languageengen_US
dc.publisherINFORMS. The Journal's web site is located at http://transci.pubs.informs.orgen_US
dc.relation.ispartofTransportation Scienceen_US
dc.titleA continuous equilibrium model for estimating market areas of competitive facilities with elastic demand and market externalityen_US
dc.typeArticleen_US
dc.identifier.emailWong, SC: hhecwsc@hku.hken_US
dc.identifier.authorityWong, SC=rp00191en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1287/trsc.34.2.216.12307-
dc.identifier.scopuseid_2-s2.0-0034187637en_US
dc.identifier.hkuros49688-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0034187637&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume34en_US
dc.identifier.issue2en_US
dc.identifier.spage216en_US
dc.identifier.epage227en_US
dc.identifier.isiWOS:000087319300006-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridYang, H=7406556890en_US
dc.identifier.scopusauthoridWong, SC=24323361400en_US

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