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

JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. INFORMS is collaborating with JSTOR to digitize, preserve and extend access to Operations Research. 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.