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» Cover and Pack Inequalities for (Mixed) Integer Programming
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MP
2010
116views more  MP 2010»
14 years 7 months ago
Separation algorithms for 0-1 knapsack polytopes
Valid inequalities for 0-1 knapsack polytopes often prove useful when tackling hard 0-1 Linear Programming problems. To generate such inequalities, one needs separation algorithms...
Konstantinos Kaparis, Adam N. Letchford
JGO
2008
83views more  JGO 2008»
14 years 9 months ago
Computations with disjunctive cuts for two-stage stochastic mixed 0-1 integer programs
Two-stage stochastic mixed-integer programming (SMIP) problems with recourse are generally difficult to solve. This paper presents a first computational study of a disjunctive cut...
Lewis Ntaimo, Matthew W. Tanner
IOR
2006
177views more  IOR 2006»
14 years 9 months ago
Combinatorial Benders' Cuts for Mixed-Integer Linear Programming
Mixed-Integer Programs (MIP's) involving logical implications modelled through big-M coefficients, are notoriously among the hardest to solve. In this paper we propose and an...
Gianni Codato, Matteo Fischetti
SODA
2001
ACM
157views Algorithms» more  SODA 2001»
14 years 10 months ago
New approaches to covering and packing problems
Covering and packing integer programs model a large family of combinatorial optimization problems. The current-best approximation algorithms for these are an instance of the basic...
Aravind Srinivasan
ORL
2008
111views more  ORL 2008»
14 years 9 months ago
Certificates of linear mixed integer infeasibility
A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in...
Kent Andersen, Quentin Louveaux, Robert Weismantel