A probabilistic minimax location problem on the plane

A probabilistic minimax location problem on the plane

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Article ID: iaor20042478
Country: Netherlands
Volume: 122
Issue: 1
Start Page Number: 59
End Page Number: 70
Publication Date: Sep 2003
Journal: Annals of Operations Research
Authors: , , ,
Abstract:

In this paper we consider the weighted minimax (1-center) location problem in the plane when the weights are not given but rather drawn from independent uniform distributions. The problem is formulated and analyzed. For certain parameters of the uniform distributions the objective function is proven to be convex and thus can be easily solved by standard software such as the Solver in Excel. Computational experience is reported.

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