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Fakultät für Mathematik
Gert Wanka, Oleg Wilfer: Duality Results for Extended Multifacility Location Problems

Gert Wanka, Oleg Wilfer: Duality Results for Extended Multifacility Location Problems


Author(s):
Gert Wanka
Oleg Wilfer
Title:
Gert Wanka, Oleg Wilfer: Duality Results for Extended Multifacility Location Problems
Electronic source:
application/pdf
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 05, 2016
Mathematics Subject Classification:
    49N15 []
    90C25 []
    90C46 []
    90B85 []
Abstract:
Duality statements are presented for multifacility location problems as suggested by Drezner (1991), where for each given point the sum of weighted distances to all facilities plus set-up costs is determined and the maximal value of these sums is to be minimized. We develop corresponding dual problems for the cases with and without set-up costs and present associated optimality conditions. In the concluding part of this note we use these optimality conditions for a geometrical characterization of the set of optimal solutions and consider for an illustration corresponding examples.
Keywords:
Gauges, Continuous Minimax Multifacility Location Problems, Set-up Costs, Conjugate Duality, Optimality Conditions
Language:
English
Publication time:
09/2016

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