eng
Location and shape of a rectangular facility in R^n. Convexity properties
Carrizosa, E.
Muñoz-Márquez, M.
Puerto, J.
Article
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
1998
Regional location
Facilities
Average distance
Mathematical Programming ; vol. 83 n. 2 (1998) p. 277-290
http://ddd.uab.cat/record/167
oai:ddd.uab.cat:167
00255610v83n2p277
In this paper we address a generalization of the Weber problem, in which we seek for the center and the shape of a rectangle (the facility) minimizing the average distance to a given set (the demand-set) which is not assumed to be finite. Some theoretical properties of the average distance are studied, and an expression for its gradient, involving solely expected distances to rectangles, is obtained. This enables the resolution of the problem by standard optimization techniques..
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