Extensions to the continuous ordered median problem

Extensions to the continuous ordered median problem

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Article ID: iaor20103313
Volume: 71
Issue: 2
Start Page Number: 283
End Page Number: 306
Publication Date: Apr 2010
Journal: Mathematical Methods of Operations Research
Authors: ,
Abstract:

Classical location models fix an objective function and then attempt to find optimal points to this objective. In the last years a flexible approach, the ordered median problem, has been introduced. It handles a wide class of objectives, such as the median, the center and the centdian function. In this paper we present new properties of the ordered median problem such as solvability for the situation of attractive and repulsive locations. We also develop a new solution method that even yields local optimal points for non-convex objective functions. Furthermore, we discuss separability of ordered median problems without repulsion and derive a sufficient criterion. Finally, we introduce a useful model extension, the facility class model, which allows to deal with a wider range of real world problems in the ordered median setting.

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