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» Multidimensional Cube Packing
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SODA
2004
ACM
203views Algorithms» more  SODA 2004»
13 years 6 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
MOR
2006
123views more  MOR 2006»
13 years 4 months ago
Bin Packing in Multiple Dimensions: Inapproximability Results and Approximation Schemes
We study the multidimensional generalization of the classical Bin Packing problem: Given a collection of d-dimensional rectangles of specified sizes, the goal is to pack them into ...
Nikhil Bansal, José R. Correa, Claire Kenyo...
ALGORITHMICA
2004
125views more  ALGORITHMICA 2004»
13 years 4 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...
ACTA
2005
110views more  ACTA 2005»
13 years 4 months ago
Online square and cube packing
In online square packing, squares of different sizes arrive online and need to be packed into unit squares which are called bins. The goal is to minimize the number of bins used. ...
Leah Epstein, Rob van Stee
ESA
2004
Springer
151views Algorithms» more  ESA 2004»
13 years 8 months ago
On Variable-Sized Multidimensional Packing
The main contribution of this paper is an optimal bounded space online algorithm for variable-sized multidimensional packing. In this problem, hyperboxes must be packed in ddimens...
Leah Epstein, Rob van Stee