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» Approximated Consistency for Knapsack Constraints
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CPAIOR
2008
Springer
13 years 7 months ago
Counting Solutions of Knapsack Constraints
Abstract. This paper furthers the recent investigation of search heuristics based on solution counting information, by proposing and evaluating algorithms to compute solution densi...
Gilles Pesant, Claude-Guy Quimper
MP
2002
143views more  MP 2002»
13 years 5 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
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
14 years 6 months ago
Non-monotone submodular maximization under matroid and knapsack constraints
Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hy...
Jon Lee, Vahab S. Mirrokni, Viswanath Nagarajan, M...
ENDM
2010
115views more  ENDM 2010»
13 years 3 months ago
On the knapsack closure of 0-1 Integer Linear Programs
Many inequalities for Mixed-Integer Linear Programs (MILPs) or pure Integer Linear Programs (ILPs) are derived from the Gomory corner relaxation, where all the nonbinding constrai...
Matteo Fischetti, Andrea Lodi
SODA
2012
ACM
297views Algorithms» more  SODA 2012»
11 years 8 months ago
Constant factor approximation algorithm for the knapsack median problem
We give a constant factor approximation algorithm for the following generalization of the k-median problem. We are given a set of clients and facilities in a metric space. Each fa...
Amit Kumar