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» On Variable-Sized Multidimensional Packing
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RANDOM
1999
Springer
15 years 1 months ago
Fast Approximate PCPs for Multidimensional Bin-Packing Problems
Abstract. We consider approximate PCPs for multidimensional bin-packing problems. In particular, we show how a verifier can be quickly convinced that a set of multidimensional blo...
Tugkan Batu, Ronitt Rubinfeld, Patrick White
87
Voted
SODA
2004
ACM
203views Algorithms» more  SODA 2004»
14 years 11 months ago
Approximation schemes for multidimensional packing
We consider a classic multidimensional generalization of the bin packing problem, namely, packing d-dimensional rectangles into the minimum number of unit cubes. Our two results a...
José R. Correa, Claire Kenyon
69
Voted
COR
2010
123views more  COR 2010»
14 years 9 months ago
Multi-dimensional bin packing problems with guillotine constraints
The problem addressed in this paper is the decision problem of determining if a set of multi-dimensional rectangular boxes can be orthogonally packed into a rectangular bin while ...
Rasmus Resen Amossen, David Pisinger
FCT
2007
Springer
15 years 1 months ago
Multi-dimensional Packing with Conflicts
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
Leah Epstein, Asaf Levin, Rob van Stee
77
Voted
ALGORITHMICA
2004
125views more  ALGORITHMICA 2004»
14 years 9 months ago
Multidimensional Cube Packing
We consider the d-dimensional cube packing problem (d-CPP): given a list L of d-dimensional cubes and (an unlimited quantity of) d-dimensional unit-capacity cubes, called bins, fi...
Yoshiharu Kohayakawa, Flávio Keidi Miyazawa...