Distance predicting functions and applied locationallocation models. <SBT>Some simulations based on the l_{p} norm and the kmedian model</SBT>
Abstract
Distances between demand points and potential sites for implementing facilities are essential inputs to locationallocation 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_{p}norms, using for instance a geographical information system, is much easier. We may then wonder how sensitive the solutions of a locationallocation model are to the choice of a particular metric. In this paper, simulations are performed on a lattice of 225 points using the kmedian problem. Systematic changes in p and in the orientation of the orthogonal reference axes are used. Results suggest that the solutions of the kmedian are rather insensitive to the specification of the l_{p}norm.
 Publication:

Journal of Geographical Systems
 Pub Date:
 2000
 DOI:
 10.1007/PL00011453
 Bibcode:
 2000JGS.....2..167P