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» The continuous knapsack set
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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
EVOW
2009
Springer
13 years 4 months ago
The Dynamic Knapsack Problem Revisited: A New Benchmark Problem for Dynamic Combinatorial Optimisation
Abstract. In this paper we propose a new benchmark problem for dynamic combinatorial optimisation. Unlike most previous benchmarks, we focus primarily on the underlying dynamics of...
Philipp Rohlfshagen, Xin Yao
JAIR
2007
141views more  JAIR 2007»
13 years 6 months ago
Bin Completion Algorithms for Multicontainer Packing, Knapsack, and Covering Problems
Many combinatorial optimization problems such as the bin packing and multiple knapsack problems involve assigning a set of discrete objects to multiple containers. These problems ...
Alex S. Fukunaga, Richard E. Korf
CP
2008
Springer
13 years 8 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...
DCC
2002
IEEE
14 years 5 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