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» The continuous knapsack set
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ANOR
2005
94views more  ANOR 2005»
13 years 4 months ago
Cover and Pack Inequalities for (Mixed) Integer Programming
We review strong inequalities for fundamental knapsack relaxations of (mixed) integer programs. These relaxations are the 0-1 knapsack set, the mixed 0-1 knapsack set, the integer ...
Alper Atamtürk
ANOR
2007
126views more  ANOR 2007»
13 years 4 months ago
Lifting, superadditivity, mixed integer rounding and single node flow sets revisited
In this survey we attempt to give a uniļ¬ed 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
MOR
2002
102views more  MOR 2002»
13 years 4 months ago
Facets of the Complementarity Knapsack Polytope
We present a polyhedral study of the complementarity knapsack problem. Traditionally, complementarity constraints are modeled by introducing auxiliary binary variables and additio...
Ismael R. de Farias Jr., Ellis L. Johnson, George ...
EOR
2006
73views more  EOR 2006»
13 years 4 months ago
An exact algorithm for the knapsack sharing problem with common items
We are concerned with a variation of the knapsack problem as well as of the knapsack sharing problem, where we are given a set of n items and a knapsack of a fixed capacity. As us...
Masako Fujimoto, Takeo Yamada
EOR
2007
111views more  EOR 2007»
13 years 4 months ago
A pegging approach to the precedence-constrained knapsack problem
The knapsack problem (KP) is generalized to the case where items are partially ordered through a set of precedence relations. As in ordinary KPs, each item is associated with proļ...
Byungjun You, Takeo Yamada