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Article: Determining market areas captured by competitive facilities: A continuous equilibrium modeling approach
Title | Determining market areas captured by competitive facilities: A continuous equilibrium modeling approach |
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Authors | |
Issue Date | 1999 |
Publisher | Blackwell Publishing, Inc. |
Citation | Journal Of Regional Science, 1999, v. 39 n. 1, p. 51-72 How to Cite? |
Abstract | Many 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 Identifier | http://hdl.handle.net/10722/71469 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 1.026 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Wong, SC | en_HK |
dc.contributor.author | Yang, H | en_HK |
dc.date.accessioned | 2010-09-06T06:32:17Z | - |
dc.date.available | 2010-09-06T06:32:17Z | - |
dc.date.issued | 1999 | en_HK |
dc.identifier.citation | Journal Of Regional Science, 1999, v. 39 n. 1, p. 51-72 | en_HK |
dc.identifier.issn | 0022-4146 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/71469 | - |
dc.description.abstract | Many 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.language | eng | en_HK |
dc.publisher | Blackwell Publishing, Inc. | en_HK |
dc.relation.ispartof | Journal of Regional Science | en_HK |
dc.title | Determining market areas captured by competitive facilities: A continuous equilibrium modeling approach | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://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+approach | en_HK |
dc.identifier.email | Wong, SC:hhecwsc@hku.hk | en_HK |
dc.identifier.authority | Wong, SC=rp00191 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.scopus | eid_2-s2.0-0033030764 | en_HK |
dc.identifier.hkuros | 41093 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0033030764&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 39 | en_HK |
dc.identifier.issue | 1 | en_HK |
dc.identifier.spage | 51 | en_HK |
dc.identifier.epage | 72 | en_HK |
dc.identifier.isi | WOS:000079509700003 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Wong, SC=24323361400 | en_HK |
dc.identifier.scopusauthorid | Yang, H=7406556890 | en_HK |
dc.identifier.issnl | 0022-4146 | - |