Publication: On the set covering polytope: Facets with coefficients in {0, 1, 2, 3}
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Publication Date
1998
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Springer
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Abstract
Balas and Ng [1,2] characterized the class of valid inequalities for the set covering polytope with coefficients equal to 0, 1 or 2, and gave necessary and sufficient conditions for such an inequality to be facet defining. We extend this study, characterizing the class of valid inequalities with coefficients equal to 0, 1, 2 or 3, and giving necessary and sufficient conditions for such an inequality to be not dominated, and to be facet defining.
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E. Balas and M. Ng, On the set covering polytope: I. All the facets with coefficients in {0, 1, 2}, Mathematical Programming 43(1989]57–69.
E. Balas and M. Ng, On the set covering polytope: II. All the facets with coefficients in {0, 1, 2}, Mathematical Programming 45(1989)1–20.
G. Cornuéjols and A. Sassano, On the 0, 1 facets of the set covering polytope, Mathematical Programming 43(1989)45–55.
M. Sánchez, M.I. Sobrón and C. Espinel, Facetas del politopo de recubrimiento con coeficientes en {0, 1, 2, 3}, Trabajos de Investigación Operativa 7(1992)31–41.
A. Sassano, On the facial structure of the set covering polytope, Mathematical Programming 44 (1989)181–202.
B. Vitoriano, Bloques –Antibloques. Relación con los problemas de recubrimiento y empaquetado, Doctoral Thesis, Universidad Complutense de Madrid, 1994.