New valid inequalities for the fixed-charge and single-node flow polytopes

Letchford, Adam and Souli, Georgia (2019) New valid inequalities for the fixed-charge and single-node flow polytopes. Operations Research Letters, 47 (5). pp. 353-357. ISSN 0167-6377

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Abstract

The most effective software packages for solving mixed 0-1 linear programs use strong valid linear inequalities derived from polyhedral theory. We introduce a new procedure which enables one to take known valid inequalities for the knapsack polytope, and convert them into valid inequalities for the ﬁxed-charge and single-node ﬂow polytopes. The resulting inequalities are very diﬀerent from the previously known inequalities (such as ﬂow cover and ﬂow pack inequalities), and deﬁne facets under certain conditions.

Item Type:

Journal Article

Journal or Publication Title:

Operations Research Letters

Additional Information:

This is the author’s version of a work that was accepted for publication in Operations Research Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Operations Research Letters, 47, 5, 2019 DOI: 10.1016/j.orl.2019.06.005

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/1800/1803

Subjects:

?? mixed-integer linear programmingpolyhedral combinatoricsbranch-and-cutmanagement science and operations researchsoftwareapplied mathematicsindustrial and manufacturing engineering ??

Departments:

Lancaster University Management School > Management Science

ID Code:

135003

Deposited By:

ep_importer_pure

Deposited On:

02 Jul 2019 11:20

Refereed?:

Yes

Published?:

Published

Last Modified:

11 Aug 2024 00:16

URI:

https://eprints.lancs.ac.uk/id/eprint/135003