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IPL
2006
101views more  IPL 2006»
13 years 5 months ago
An efficient approximation for the Generalized Assignment Problem
We present a simple family of algorithms for solving the Generalized Assignment Problem (GAP). Our technique is based on a novel combinatorial translation of any algorithm for the...
Reuven Cohen, Liran Katzir, Danny Raz
TAMC
2007
Springer
13 years 11 months ago
Approximation Algorithms for 3D Orthogonal Knapsack
We study non-overlapping axis-parallel packings of 3D boxes with profits into a dedicated bigger box where rotation is either forbidden or permitted; we wish to maximize the total...
Florian Diedrich, Rolf Harren, Klaus Jansen, Ralf ...
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
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
ISSAC
2004
Springer
135views Mathematics» more  ISSAC 2004»
13 years 11 months ago
Absolute polynomial factorization in two variables and the knapsack problem
A recent algorithmic procedure for computing the absolute factorization of a polynomial P(X, Y ), after a linear change of coordinates, is via a factorization modulo X3 . This was...
Guillaume Chèze