Data aggregation for p-median problems

Bader F. AlBdaiwi (), Diptesh Ghosh () and Boris Goldengorin
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Bader F. AlBdaiwi: Kuwait University
Boris Goldengorin: University of Groningen

Journal of Combinatorial Optimization, 2011, vol. 21, issue 3, No 5, 348-363

Abstract: Abstract In this paper, we use a pseudo-Boolean formulation of the p-median problem and using data aggregation, provide a compact representation of p-median problem instances. We provide computational results to demonstrate this compactification in benchmark instances. We then use our representation to explain why some p-median problem instances are more difficult to solve to optimality than other instances of the same size. We also derive a preprocessing rule based on our formulation, and describe equivalent p-median problem instances, which are identical sized instances which are guaranteed to have identical optimal solutions.

Keywords: p-Median problem; Pseudo-Boolean polynomial; Data aggregation; Equivalent instances (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10878-009-9251-8

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