| Issue |
RAIRO-Oper. Res.
Volume 51, Number 1, January-March 2017
|
|
|---|---|---|
| Page(s) | 189 - 197 | |
| DOI | https://doi.org/10.1051/ro/2016013 | |
| Published online | 20 January 2017 | |
Another pedagogy for pure-integer Gomory∗
IOE Department, University of Michigan, Ann Arbor, MI, USA.
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Received: 19 July 2015
Accepted: 3 February 2016
Abstract
We present pure-integer Gomory cuts in a way so that they are derived with respect to a “dual form” pure-integer optimization problem and applied on the standard-form primal side as columns, using the primal simplex algorithm. The input integer problem is not in standard form, and so the cuts are derived a bit differently. In this manner, we obtain a finitely-terminating version of pure-integer Gomory cuts that employs the primal rather than the dual simplex algorithm.
Mathematics Subject Classification: 90C10
Key words: Gomory cut / Chvátal–Gomory cut / cutting plane / integer program / integer linear program / integer optimization / simplex algorithm / lexicographical
This research was partially supported by NSF grant CMMI–1160915 and ONR grant N00014-14-1-0315.
© EDP Sciences, ROADEF, SMAI 2017
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