Dokka Venkata Satyanaraya, Trivikram and Spieksma, Frits (2016) Facets of the axial three-index assignment polytope. Discrete Applied Mathematics, 201. pp. 86-104. ISSN 0166-218X
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Abstract
We revisit the facial structure of the axial 3-index assignment polytope. After reviewing known classes of facet-defining inequalities, we present a new class of valid inequalities, and show that they define facets of this polytope. This answers a question posed by Qi and Sun (2000). Moreover, we show that we can separate these inequalities in polynomial time. Finally, we assess the computational relevance of the new inequalities by performing (limited) computational experiments.
Item Type:
Journal Article
Journal or Publication Title:
Discrete Applied Mathematics
Additional Information:
This is the author’s version of a work that was accepted for publication in Discrete Applied Mathematics. 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 Discrete Applied Mathematics, 201, 2016 DOI: 10.1016/j.dam.2015.07.018
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2607
Subjects:
?? three-dimensional assignmentpolyhedral methodsfacetsseparation algorithmdiscrete mathematics and combinatoricsapplied mathematics ??
Departments:
ID Code:
78454
Deposited By:
Deposited On:
11 Mar 2016 08:52
Refereed?:
Yes
Published?:
Published
Last Modified:
25 Sep 2024 00:36