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New valid inequalities and facets for the Simple Plant Location Problem

Laura Galli, Adam N. Letchford and Sebastian J. Miller

European Journal of Operational Research, 2018, vol. 269, issue 3, 824-833

Abstract: The Simple Plant Location Problem is a well-known (and NP-hard) combinatorial optimisation problem, with applications in logistics. We present a new family of valid inequalities for the associated family of polyhedra, and show that it contains an exponentially large number of new facet-defining members. We also present a new procedure, called facility augmentation, which enables one to derive even more valid and facet-defining inequalities.

Keywords: Facility location; Combinatorial optimisation; Polyhedral combinatorics (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:269:y:2018:i:3:p:824-833

DOI: 10.1016/j.ejor.2018.03.009

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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