A big square small square (BSSS) algorithm for the location problem with minimum square error

A big square small square (BSSS) algorithm for the location problem with minimum square error

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Article ID: iaor20104154
Volume: 2009
Issue: 212040
Start Page Number: 1
End Page Number: 10
Publication Date: Jan 2009
Journal: Advances in Operations Research
Authors: , ,
Abstract:

Let n weighted points be given in the plane R2. For each point a radius is given which is the expected ideal distance from this point to a new facility. We want to find the location of a new facility such that the sum of the weighted errors between the existing points and this new facility is minimized. This is in fact a nonconvex optimization problem. We show that the optimal solution lies in an extended rectangular hull of the existing points. Based on this finding then an efficient big square small square (BSSS) procedure is proposed.

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