A tighter formulation of the p-median problem

Sourour Elloumi ()
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Sourour Elloumi: CEDRIC-CNAM

Journal of Combinatorial Optimization, 2010, vol. 19, issue 1, No 6, 69-83

Abstract: Abstract Given a set of clients and a set of potential sites for facilities, the p-median problem consists of opening a set of p sites and assigning each client to the closest open facility to it. It can be viewed as a variation of the uncapacitated facility location problem. We propose a new formulation of this problem by a mixed integer linear problem. We show that this formulation, while it has the same value by LP-relaxation, can be much more efficient than two previous formulations. The computational experiment performed on two sets of benchmark instances has showed that the efficiency of the standard branch-and-cut algorithm has been significantly improved. Finally, we explore the structure of the new formulation in order to derive reduction rules and to accelerate the LP-relaxation resolution.

Keywords: Facility location; p-median; Integer programming; Formulation (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (9)

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DOI: 10.1007/s10878-008-9162-0

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