New local searches for solving the multi-source Weber problem

Zvi Drezner (), Jack Brimberg (), Nenad Mladenović () and Said Salhi ()
Additional contact information
Zvi Drezner: California State University-Fullerton
Jack Brimberg: The Royal Military College of Canada
Nenad Mladenović: Serbian Academy of Sciences and Arts
Said Salhi: University of Kent

Annals of Operations Research, 2016, vol. 246, issue 1, No 11, 203 pages

Abstract: Abstract This paper presents three new heuristic approaches for the solution of the multi-source Weber problem in the plane: a constructive heuristic that finds a good starting solution, a decomposition approach which uses Delaunay triangulation, and a new efficient neighborhood structure based on the single facility limited distance median problem. A new heuristic incorporating all these approaches provided high quality solutions in reasonable computing time. We conclude that these heuristics successfully compete with the metaheuristic based methods found in the literature improving ten best known solutions. The ideas here may be extended to a variety of other continuous location as well as data mining problems.

Keywords: Constructive heuristic; Decomposition; Limited distance median; Locate–allocate; Continuous $$p$$ p -median; Weiszfeld algorithm (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10479-015-1797-5

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