Lifted Tableaux Inequalities for 0–1 Mixed‐Integer Programs: A Computational Study

Lifted Tableaux Inequalities for 0–1 Mixed‐Integer Programs: A Computational Study

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Article ID: iaor20117846
Volume: 23
Issue: 3
Start Page Number: 416
End Page Number: 424
Publication Date: Jun 2011
Journal: INFORMS Journal on Computing
Authors: , ,
Abstract:

We describe families of inequalities for 0–1 mixed‐integer programming problems that are obtained by lifting cover and packing inequalities. We show that these inequalities can be separated from single rows of the simplex tableaux of their linear programming relaxations. We present the results of a computational study comparing their performance with that of Gomory mixed‐integer cuts on a collection of MIPLIB and randomly generated 0–1 mixed‐integer programs. The computational study shows that these cuts yield better results than Gomory mixed‐integer cuts.

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