Facility Location Essay

8361 WordsNov 24, 200934 Pages
J Geograph Syst (2007) 9:267–288 DOI 10.1007/s10109-007-0047-z ORIGINAL ARTICLE Integrating the maximum capture problem into a GIS framework Benjamin D. Spaulding Æ Robert G. Cromley Received: 4 January 2007 / Accepted: 13 April 2007 / Published online: 27 June 2007 Ó Springer-Verlag 2007 Abstract This paper presents a methodology for reformulating the maximal capture problem by using the data representation and manipulation capabilities of GIS to define: (1) the coverage region captured by each potential facility, and (2) each unique demand region covered by a specific combination of potential facilities. The formulation is modeled on the maximum covering problem although the integer restriction on the demand capture variables is relaxed. Because demand regions are not exogenously given, areal interpolation is used to estimate the demand associated with each of these regions The model is used to determine the location on a network for a set of home improvement stores that are hypothetically in competition with existing Home Depot stores in Southeastern New Hampshire. Keywords GIS Á Location–allocation modeling Á Maximum capture problem C6 JEL Classification 1 Introduction In GIScience, different conceptual models underlie the representation of space and the modeling of spatial processes. The two basic models of space are: (1) a fieldbased one that views geographic data as collections of spatial distributions describing the variation of an attribute of interest over space, and (2) an entity-based model in which space is a void except where occupied by objects of interest (Couclelis 1992). In location analysis, different models of space can lead to very different solutional methodologies. For example, Weber’s least-cost model of industrial location (Weber 1929) in a field

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