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» Cover and Pack Inequalities for (Mixed) Integer Programming
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MP
2010
116views more  MP 2010»
13 years 5 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»
13 years 7 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»
13 years 7 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»
13 years 8 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»
13 years 7 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