Optimal Cutting Planes from the Group Relaxations
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Marco Di Summa | Michele Conforti | Giacomo Zambelli | Amitabh Basu | A. Basu | M. Conforti | G. Zambelli | M. D. Summa
[1] Egon Balas,et al. Intersection Cuts - A New Type of Cutting Planes for Integer Programming , 1971, Oper. Res..
[2] Ellis L. Johnson. On the group problem for mixed integer programming , 1974 .
[3] George L. Nemhauser,et al. A finiteness proof for modified dantzig cuts in integer programming , 1970 .
[4] Egon Balas,et al. Optimizing over the split closure , 2008, Math. Program..
[5] Marco Di Summa,et al. A geometric approach to cut-generating functions , 2015, Mathematical Programming.
[6] Egon Balas,et al. Gomory cuts revisited , 1996, Oper. Res. Lett..
[7] Melvyn B. Nathanson,et al. Additive Number Theory: Inverse Problems and the Geometry of Sumsets , 1996 .
[8] Andrea Lodi,et al. MIR closures of polyhedral sets , 2009, Math. Program..
[9] Ellis L. Johnson,et al. Some continuous functions related to corner polyhedra, II , 1972, Math. Program..
[10] Ralph E. Gomory,et al. An algorithm for integer solutions to linear programs , 1958 .
[11] Ellis L. Johnson,et al. Some continuous functions related to corner polyhedra , 1972, Math. Program..
[12] Marco Di Summa,et al. The Structure of the Infinite Models in Integer Programming , 2019, Math. Oper. Res..
[13] J. H. B. Kemperman. On products of sets in a locally compact group , 1964 .
[14] G. Dantzig. Note on solving linear programs in integers , 1959 .
[15] Matthias Köppe,et al. Light on the infinite group relaxation II: sufficient conditions for extremality, sequences, and algorithms , 2016, 4OR.
[16] Robert L. Graves,et al. Technical Note - Strengthened Dantzig Cuts for Integer Programming , 1972, Oper. Res..
[17] Matthias Köppe,et al. Light on the Infinite Group Relaxation , 2014, ArXiv.
[18] Robert E. Bixby,et al. Mixed-Integer Programming: A Progress Report , 2004, The Sharpest Cut.
[19] W. Rudin. Principles of mathematical analysis , 1964 .
[20] Ellis L. Johnson,et al. T-space and cutting planes , 2003, Math. Program..
[21] Ralph E. Gomory,et al. Outline of an Algorithm for Integer Solutions to Linear Programs and An Algorithm for the Mixed Integer Problem , 2010, 50 Years of Integer Programming.
[22] R. Gomory. Some polyhedra related to combinatorial problems , 1969 .
[23] R E Gomory,et al. ON THE RELATION BETWEEN INTEGER AND NONINTEGER SOLUTIONS TO LINEAR PROGRAMS. , 1965, Proceedings of the National Academy of Sciences of the United States of America.
[24] R. Gomory. AN ALGORITHM FOR THE MIXED INTEGER PROBLEM , 1960 .