On the feasible set for the squared Euclidean Weber problem and applications

On the feasible set for the squared Euclidean Weber problem and applications

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Article ID: iaor20003314
Country: Netherlands
Volume: 118
Issue: 3
Start Page Number: 620
End Page Number: 630
Publication Date: Nov 1999
Journal: European Journal of Operational Research
Authors: ,
Keywords: Weber problem
Abstract:

In this paper we find the set of feasible solution points to the Weber location problem with squared Euclidean distances when the weights can be at any point in a given set of intervals. We prove that this set is a convex polygon. The result is then used to solve the minimax regret objective when individual scenarios can be any set of weights in a given set of intervals.

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