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Geometric interpretation of the optimality conditions in multifacility location and applications
Authors:O Lefebvre  C Michelot  F Plastria
Institution:(1) Département de Mathématiques, Université de Bourgogne, Dijon, France;(2) BEIF, Vrije Universiteit Brussel, Brussels, Belgium
Abstract:Geometrical optimality conditions are developed for the minisum multifacility location problem involving any norm. These conditions are then used to derive sufficient conditions for coincidence of facilities at optimality; an example is given to show that these coincidence conditions seem difficult to generalize.
Keywords:Optimality conditions  multifacility location problem
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