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» On the Exact Separation of Mixed Integer Knapsack Cuts
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IPCO
2007
143views Optimization» more  IPCO 2007»
14 years 18 days ago
On the Exact Separation of Mixed Integer Knapsack Cuts
During the last decades, much research has been conducted deriving classes of valid inequalities for single-row mixed integer programming polyhedrons. However, no such class has ha...
Ricardo Fukasawa, Marcos Goycoolea
IPCO
2004
93views Optimization» more  IPCO 2004»
14 years 16 days ago
Semi-continuous Cuts for Mixed-Integer Programming
We study the convex hull of the feasible set of the semi-continuous knapsack problem, in which the variables belong to the union of two intervals. Besides being important in its o...
I. R. de Farias
ANOR
2002
93views more  ANOR 2002»
13 years 11 months ago
Cutting and Surrogate Constraint Analysis for Improved Multidimensional Knapsack Solutions
We use surrogate analysis and constraint pairing in multidimensional knapsack problems to fix some variables to zero and to separate the rest into two groups
Maria A. Osorio, Fred Glover, Peter Hammer
ANOR
2007
126views more  ANOR 2007»
13 years 11 months ago
Lifting, superadditivity, mixed integer rounding and single node flow sets revisited
In this survey we attempt to give a unified presentation of a variety of results on the lifting of valid inequalities, as well as a standard procedure combining mixed integer roun...
Quentin Louveaux, Laurence A. Wolsey
MP
2002
143views more  MP 2002»
13 years 10 months ago
Extending Dantzig's bound to the bounded multiple-class binary Knapsack problem
The bounded multiple-class binary knapsack problem is a variant of the knapsack problem where the items are partitioned into classes and the item weights in each class are a multip...
François Vanderbeck