The zone definition problem in location-allocation modeling

Stewart Fotheringham, P. J. Densham, A. Curtis

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

Location-allocation modeling is a frequently used set of techniques for solving a variety of locational problems, some of which can be politically sensitive. The typical application of a location-allocation model involves locating facilities by selecting a set of sites from a larger set of candidate sites, with the selection procedure being a function of "optimality' in terms of the allocation of demand to the selected sites. This paper examines the sensitivity of one particular type of location-allocation model, the p-median procedure, to the definition of spatial units for which demand is measured. A p-median solution is optimal only for a particular definition of spatial units and that variations in the definition of spatial units can cause large deviations in optimal facility locations. The broad implication of these findings is that the outcome of any location-allocation procedure using aggregate data should not be relied upon for planning purposes. -Authors

Original languageEnglish (US)
Pages (from-to)60-77
Number of pages18
JournalGeographical Analysis
Volume27
Issue number1
StatePublished - 1995
Externally publishedYes

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p-median
location-allocation model
facility location
modeling
selection procedure
aggregate data
demand
candidacy
allocation
planning
cause

ASJC Scopus subject areas

  • Geography, Planning and Development

Cite this

The zone definition problem in location-allocation modeling. / Fotheringham, Stewart; Densham, P. J.; Curtis, A.

In: Geographical Analysis, Vol. 27, No. 1, 1995, p. 60-77.

Research output: Contribution to journalArticle

Fotheringham, S, Densham, PJ & Curtis, A 1995, 'The zone definition problem in location-allocation modeling', Geographical Analysis, vol. 27, no. 1, pp. 60-77.
Fotheringham, Stewart ; Densham, P. J. ; Curtis, A. / The zone definition problem in location-allocation modeling. In: Geographical Analysis. 1995 ; Vol. 27, No. 1. pp. 60-77.
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