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AUSSOIS
2001
Springer
14 years 2 months ago
An Augment-and-Branch-and-Cut Framework for Mixed 0-1 Programming
In recent years the branch-and-cut method, a synthesis of the classical branch-and-bound and cutting plane methods, has proven to be a highly successful approach to solving large-s...
Adam N. Letchford, Andrea Lodi
ANOR
2005
131views more  ANOR 2005»
13 years 9 months ago
Projection, Lifting and Extended Formulation in Integer and Combinatorial Optimization
Abstract. This is an overview of the significance and main uses of projection, lifting and extended formulation in integer and combinatorial optimization. Its first two sections de...
Egon Balas
SIAMJO
2000
116views more  SIAMJO 2000»
13 years 9 months ago
Computational Experience with an Interior Point Cutting Plane Algorithm
There has been a great deal of success in the last twenty years with the use of cutting plane algorithms to solve specialized integer programming problems. Generally, these algori...
John E. Mitchell
DISOPT
2007
109views more  DISOPT 2007»
13 years 9 months ago
Sequential pairing of mixed integer inequalities
We present a scheme for generating new valid inequalities for mixed integer programs by taking pairwise combinations of existing valid inequalities. Our scheme is related to mixed...
Yongpei Guan, Shabbir Ahmed, George L. Nemhauser
OL
2010
87views more  OL 2010»
13 years 8 months ago
Uniqueness of integer solution of linear equations
Abstract. We consider the system of m linear equations in n integer variables Ax = d and give sufficient conditions for the uniqueness of its integer solution x ∈ {−1,1}n by r...
O. L. Mangasarian, Michael C. Ferris