Facets for the Single Node Fixed-Charge Network Set with a Node Set-Up Variable

Mahdi Doostmohammadi, Agostinho Agra

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a variant of the well-known Single Node Fixed-Charge Network (SNFCN) set where a set-up variable is associated with the node, indicating whether the node is open or not. This set arises as a relaxation of several practical mixed integer problems. We relate the polyhedral structure of this variant with the polyhedral structure of the SNFCN set. We show that in the presence of the node set-up variable new facet-defining inequalities appear and establish the relation between the new family of inequalities with the flow cover inequalities. For the constant capacitated case we provide a full polyhedral description of the convex hull of the given set.
Original languageEnglish
Pages (from-to)1501-1515
JournalOptimization letters
Volume8
Issue number4
Early online date24 Jul 2013
DOIs
Publication statusPublished - Apr 2014

Fingerprint Dive into the research topics of 'Facets for the Single Node Fixed-Charge Network Set with a Node Set-Up Variable'. Together they form a unique fingerprint.

Cite this