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Article: Determining market areas captured by competitive facilities: A continuous equilibrium modeling approach

TitleDetermining market areas captured by competitive facilities: A continuous equilibrium modeling approach
Authors
Issue Date1999
PublisherBlackwell Publishing, Inc.
Citation
Journal Of Regional Science, 1999, v. 39 n. 1, p. 51-72 How to Cite?
AbstractMany existing models concerning locations and market areas of competitive facilities assume that customers patronize a facility based on distance to that facility, or perhaps on a function of distances between the customer and the different facilities available. Customers are generally assumed to be located at certain discrete demand points in a two-dimensional space, or continuously distributed over a one-dimensional line segment. In this paper these assumptions are relaxed by employment of a continuum optimization model to characterize the equilibrium choice behavior of customers for a given set of competitive facilities over a heterogeneous two-dimensional space. Customers are assumed to be scattered continuously over the space and each customer is assumed to choose a facility based on both congested travel time to the facility and on the attributes of the facility. The model is formulated as a calculus of variations problem and its optimality conditions are shown to be equivalent to the spatial customer-choice equilibrium conditions. An efficient numerical method using finite element technique is proposed and illustrated with a numerical example.
Persistent Identifierhttp://hdl.handle.net/10722/71469
ISSN
2015 Impact Factor: 1.63
2015 SCImago Journal Rankings: 2.070
References

 

DC FieldValueLanguage
dc.contributor.authorWong, SCen_HK
dc.contributor.authorYang, Hen_HK
dc.date.accessioned2010-09-06T06:32:17Z-
dc.date.available2010-09-06T06:32:17Z-
dc.date.issued1999en_HK
dc.identifier.citationJournal Of Regional Science, 1999, v. 39 n. 1, p. 51-72en_HK
dc.identifier.issn0022-4146en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71469-
dc.description.abstractMany existing models concerning locations and market areas of competitive facilities assume that customers patronize a facility based on distance to that facility, or perhaps on a function of distances between the customer and the different facilities available. Customers are generally assumed to be located at certain discrete demand points in a two-dimensional space, or continuously distributed over a one-dimensional line segment. In this paper these assumptions are relaxed by employment of a continuum optimization model to characterize the equilibrium choice behavior of customers for a given set of competitive facilities over a heterogeneous two-dimensional space. Customers are assumed to be scattered continuously over the space and each customer is assumed to choose a facility based on both congested travel time to the facility and on the attributes of the facility. The model is formulated as a calculus of variations problem and its optimality conditions are shown to be equivalent to the spatial customer-choice equilibrium conditions. An efficient numerical method using finite element technique is proposed and illustrated with a numerical example.en_HK
dc.languageengen_HK
dc.publisherBlackwell Publishing, Inc.en_HK
dc.relation.ispartofJournal of Regional Scienceen_HK
dc.titleDetermining market areas captured by competitive facilities: A continuous equilibrium modeling approachen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-4146&volume=39&spage=51 &epage= 72&date=1999&atitle=Determining+market+areas+captured+by+competitive+facilities:+a+continuous+equilibrium+modeling+approachen_HK
dc.identifier.emailWong, SC:hhecwsc@hku.hken_HK
dc.identifier.authorityWong, SC=rp00191en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0033030764en_HK
dc.identifier.hkuros41093en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033030764&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume39en_HK
dc.identifier.issue1en_HK
dc.identifier.spage51en_HK
dc.identifier.epage72en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWong, SC=24323361400en_HK
dc.identifier.scopusauthoridYang, H=7406556890en_HK

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