Another pedagogy for pure-integer Gomory
He, Qi1 ; Lee, Jon1
1 IOE Department, University of Michigan, Ann Arbor, MI, USA.
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 1, pp. 189-197.

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.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2016013
Classification : 90C10
Mots-clés : Gomory cut, Chvátal–Gomory cut, cutting plane, integer program, integer linear program, integer optimization, simplex algorithm, lexicographical
He, Qi 1 ; Lee, Jon 1

1 IOE Department, University of Michigan, Ann Arbor, MI, USA. 
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He, Qi; Lee, Jon. Another pedagogy for pure-integer Gomory. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 1, pp. 189-197. doi : 10.1051/ro/2016013. http://archive.numdam.org/articles/10.1051/ro/2016013/

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