The Big Triangle Small Triangle Method for the Solution of Nonconvex Facility Location Problems

The Big Triangle Small Triangle Method for the Solution of Nonconvex Facility Location Problems

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Article ID: iaor20073215
Country: United States
Volume: 52
Issue: 1
Start Page Number: 128
End Page Number: 135
Publication Date: Jan 2004
Journal: Operations Research
Authors: ,
Keywords: programming: nonlinear
Abstract:

In this paper we propose to modify the big square small square global optimization search in the plane with a big triangle small triangle approach. The triangulation of the feasible region is obtained by using Voronoi diagrams. The resulting algorithm was tested on the obnoxious facility location and the attraction–repulsion Weber problems with excellent results.

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