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» On separating cover inequalities for the multidimensional kn...
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92
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EOR
2008
79views more  EOR 2008»
14 years 10 months ago
Local and global lifted cover inequalities for the 0-1 multidimensional knapsack problem
The 0-1 Multidimensional Knapsack Problem (0-1 MKP) is a wellknown (and strongly NP-hard) combinatorial optimization problem with many applications. Up to now, the majority of upp...
Konstantinos Kaparis, Adam N. Letchford
85
Voted
MP
2010
116views more  MP 2010»
14 years 8 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
77
Voted
MP
1998
105views more  MP 1998»
14 years 10 months ago
Capacitated facility location: Separation algorithms and computational experience
We consider the polyhedral approach to solving the capacitated facility location problem. The valid inequalities considered are the knapsack, ow cover, e ective capacity, single d...
Karen Aardal
77
Voted
MOR
2002
102views more  MOR 2002»
14 years 10 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 ...