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» Two-Step MIR Inequalities for Mixed Integer Programs
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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
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
ENDM
2010
115views more  ENDM 2010»
13 years 4 months ago
On the knapsack closure of 0-1 Integer Linear Programs
Many inequalities for Mixed-Integer Linear Programs (MILPs) or pure Integer Linear Programs (ILPs) are derived from the Gomory corner relaxation, where all the nonbinding constrai...
Matteo Fischetti, Andrea Lodi
EOR
2000
74views more  EOR 2000»
13 years 7 months ago
On the capacitated lot-sizing and continuous 0-1 knapsack polyhedra
We consider the single itemcapacitated lot{sizingproblem, a well-known productionplanningmodelthat often arises in practical applications, and derive new classes of valid inequali...
Andrew J. Miller, George L. Nemhauser, Martin W. P...