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New Valid Inequalities and Facets for the Simple Plant Location Problem

Laura Galli (laura.galli***at***unipi.it)
Adam N. Letchford (A.N.Letchford***at***lancaster.ac.uk)
Sebastian J. Miller (sebmiller64***at***hotmail.co.uk)

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; branch-and-cut; polyhedral combinatorics

Category 1: Combinatorial Optimization (Polyhedra )

Category 2: Applications -- OR and Management Sciences (Production and Logistics )

Citation: Published as: L. Galli, A.N. Letchford & S.J. Miller (2018) New valid inequalities and facets for the simple plant location problem. European Journal of Operational Research, 269(3), 824833.


Entry Submitted: 08/04/2015
Entry Accepted: 08/28/2015
Entry Last Modified: 05/07/2018

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