On the set covering polytope:Facets with coefficients in {0, 1, 2, 3}

M. Sánchez-García, M. Sobrón and B. Vitoriano

Annals of Operations Research, 1998, vol. 81, issue 0, 343-356

Abstract: Balas and Ng [1, 2] characterized the class of valid inequalities for the set coveringpolytope with coefficients equal to 0, 1 or 2, and gave necessary and sufficient conditionsfor such an inequality to be facet defining. We extend this study, characterizing the class ofvalid inequalities with coefficients equal to 0, 1, 2 or 3, and giving necessary and sufficientconditions for such an inequality to be not dominated, and to be facet defining. Copyright Kluwer Academic Publishers 1998

Date: 1998
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DOI: 10.1023/A:1018969410431

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