THE WEBER PROBLEM WITH REGIONAL DEMAND

This paper is devoted to the study of the Regional Weber Problem, an e xtension of the Weber problem which allows the demand not be concentra ted onto a finite set of points. The most serious drawback of this for mulation, from a resolution viewpoint, is the high computational cost involved in the evaluation of the objective function. A new approach i s proposed, which requires a low amount of computation and where it is possible to control the error on the approximation. This approximatio n suggests a new methodology to solve the problem. This methodology is compared with the existing ones, showing its relevance from a practic al point of view. (C) 1998 Elsevier Science B.V.