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- Title
Distance predicting functions and applied location-allocation models.: Some simulations based on the l[sub p] norm and the k-median model.
- Authors
Peeters, Dominique; Thomas, Isabelle
- Abstract
Abstract. Distances between demand points and potential sites for implementing facilities are essential inputs to location-allocation models. Computing actual road distances for a given problem can be quite burdensome since it involves digitalizing a network, while approximating these distances by l[sub p]norms, using for instance a geographical information system, is much easier. We may then wonder how sensitive the solutions of a location-allocation model are to the choice of a particular metric. In this paper, simulations are performed on a lattice of 225 points using the k-median problem. Systematic changes in p and in the orientation of the orthogonal reference axes are used. Results suggest that the solutions of the k-median are rather insensitive to the specification of the l[sub p]-norm.
- Subjects
MEASUREMENT of distances; MEDIAN strips; GEOGRAPHIC mathematics
- Publication
Journal of Geographical Systems, 2000, Vol 2, Issue 2, p167
- ISSN
1435-5930
- Publication type
Article
- DOI
10.1007/PL00011453