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.

New valid inequalities and facets for the Simple Plant Location Problem

Galli Laura;
2018-01-01

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.
2018
Galli, Laura; Letchford N., Adam; Miller J., Sebastian
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/924624
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