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» Test Sets and Inequalities for Integer Programs
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ANOR
2005
94views more  ANOR 2005»
14 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
SIAMDM
2010
105views more  SIAMDM 2010»
14 years 6 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...
ORL
2008
82views more  ORL 2008»
14 years 11 months ago
On test sets for nonlinear integer maximization
A finite test set for an integer optimization problem enables us to verify whether a feasible point attains the global optimum. We establish in this paper several general results ...
Jon Lee, Shmuel Onn, Robert Weismantel
MP
2010
81views more  MP 2010»
14 years 10 months ago
Lifting inequalities: a framework for generating strong cuts for nonlinear programs
In this paper, we propose lifting techniques for generating strong cuts for nonlinear programs that are globally-valid. The theory is geometric and provides intuition into lifting...
Jean-Philippe P. Richard, Mohit Tawarmalani
IPCO
2008
136views Optimization» more  IPCO 2008»
15 years 1 months 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