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AAAI
2004
13 years 6 months ago
The Practice of Approximated Consistency for Knapsack Constraints
Knapsack constraints are a key modeling structure in discrete optimization and form the core of many real-life problem formulations. Only recently, a cost-based filtering algorith...
Meinolf Sellmann
CP
2003
Springer
13 years 10 months ago
Approximated Consistency for Knapsack Constraints
Knapsack constraints are a key modeling structure in discrete optimization and form the core of many real-life problem formulations. Only recently, a cost-based filtering algorit...
Meinolf Sellmann
CP
2008
Springer
13 years 6 months ago
Length-Lex Bounds Consistency for Knapsack Constraints
Recently, a new domain store for set-variables has been proposed which totally orders all values in the domain of a set-variable based on cardinality and lexicography. Traditionall...
Yuri Malitsky, Meinolf Sellmann, Willem Jan van Ho...
CP
2009
Springer
14 years 5 months ago
On Decomposing Knapsack Constraints for Length-Lex Bounds Consistency
The length-lex representation for set variables orders all subsets of a given universe of values according to cardinality and lexicography. To achieve length-lex bounds consistency...
Meinolf Sellmann
DCC
2002
IEEE
14 years 4 months ago
Bit Allocation in Sub-linear Time and the Multiple-Choice Knapsack Problem
We show that the problem of optimal bit allocation among a set of independent discrete quantizers given a budget constraint is equivalent to the multiple choice knapsack problem (...
Alexander E. Mohr