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.
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References
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Sánchez-García, M., Sobrón, M.I. & Vitoriano, B. On the set covering polytope:Facets with coefficients in {0, 1, 2, 3}. Annals of Operations Research 81, 343–356 (1998). https://doi.org/10.1023/A:1018969410431
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DOI: https://doi.org/10.1023/A:1018969410431