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SIAMDM
2010
105views more  SIAMDM 2010»
13 years 5 months ago
Minimal Inequalities for an Infinite Relaxation of Integer Programs
We show that maximal S-free convex sets are polyhedra when S is the set of integral points in some rational polyhedron of Rn . This result extends a theorem of Lov
Amitabh Basu, Michele Conforti, Gérard Corn...
IPCO
2008
136views Optimization» more  IPCO 2008»
14 years 12 days ago
Computing with Multi-row Gomory Cuts
Recent advances on the understanding of valid inequalities from the infinite group relaxation has opened the possibility of finding a computationally effective extension to GMI cu...
Daniel G. Espinoza
IPCO
2008
103views Optimization» more  IPCO 2008»
14 years 12 days ago
Lifting Integer Variables in Minimal Inequalities Corresponding to Lattice-Free Triangles
Recently, Andersen et al. [1] and Borozan and Cornu
Santanu S. Dey, Laurence A. Wolsey
ANOR
2005
94views more  ANOR 2005»
13 years 11 months ago
Cover and Pack Inequalities for (Mixed) Integer Programming
We review strong inequalities for fundamental knapsack relaxations of (mixed) integer programs. These relaxations are the 0-1 knapsack set, the mixed 0-1 knapsack set, the integer ...
Alper Atamtürk
IPCO
2010
174views Optimization» more  IPCO 2010»
14 years 13 days ago
On Lifting Integer Variables in Minimal Inequalities
This paper contributes to the theory of cutting planes for mixed integer linear programs (MILPs). Minimal valid inequalities are well understood for a relaxation of an MILP in tab...
Amitabh Basu, Manoel B. Campêlo, Michele Con...