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