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Facets of the knapsack polytope.(English)Zbl 0316.90046


MSC:

90C10 Integer programming

Cite

References:

[1]E. Balas, ”Facets of the knapsack polytope”, Management Science Research Rept. No. 323, Carnegie-Mellon University, Pittsburgh, Pa. (September 1973). ·Zbl 0316.90046
[2]E. Balas, ”Facets of the knapsack polytope”,Notices of the American Mathematical Society 21 (1974) A-11. ·Zbl 0316.90046
[3]E. Balas and R. Jeroslow, ”On the structure of the unit hypercube”, Management Science Research Rept. No. 198, Carnegie-Mellon University, Pittsburgh, Pa. (August–December 1969). Published as [5]. ·Zbl 0237.52004
[4]E. Balas and R. Jeroslow, ”The hypercube and canonical cuts”,Notices of the American Mathematical Society 17 (1970) 450. ·Zbl 0237.52004
[5]E. Balas and R. Jeroslow, ”Canonical cuts on the unit hypercube”,SIAM Journal of Applied Mathematics 23 (1972) 61–69. ·Zbl 0237.52004 ·doi:10.1137/0123007
[6]F. Glover, ”Unit coefficient inequalities for zero–one programming”, Management Science Report Series No. 73-7, University of Colorado, Boulder, Colo. (July 1973).
[7]F. Granot and P.L. Hammer, ”On the use of Boolean functions in 0–1 programming”, Operations Research Mimeograph No. 70, Technion, Haifa (August 1970). ·Zbl 0253.90038
[8]P.L. Hammer, E.L. Johnson and U.N. Peled, ”Facets of regular 0–1 polytopes”, CORR 73-19, University of Waterloo, Waterloo, Ont. (October 1973).
[9]G.L. Nemhauser and L.E. Trotter, Jr., ”Properties of vertex packing and independence system polyhedra”,Mathematical Programming 6 (1974) 48–61. ·Zbl 0281.90072 ·doi:10.1007/BF01580222
[10]M. Padberg, ”On the facial structure of set packing polyhedra”,Mathematical Programming 5 (1973) 199–215. ·Zbl 0272.90041 ·doi:10.1007/BF01580121
[11]M. Padberg, ”A note on zero–one programming”,Operations Research, to appear. ·Zbl 0311.90053
[12]L.A. Wolsey, ”Faces of linear inequalities in 0–1 variables”, CORE Discussion Paper No. 7338, Université de Louvain, Louvain (November 1973).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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