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» Approximation schemes for multidimensional packing
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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...
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
RANDOM
1999
Springer
13 years 9 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
IPL
2008
132views more  IPL 2008»
13 years 4 months ago
Asymptotic fully polynomial approximation schemes for variants of open-end bin packing
We consider three variants of the open-end bin packing problem. Such variants of bin packing allow the total size of items packed into a bin to exceed the capacity of a bin, provi...
Leah Epstein, Asaf Levin
CORR
2010
Springer
157views Education» more  CORR 2010»
13 years 5 months ago
A Dense Hierarchy of Sublinear Time Approximation Schemes for Bin Packing
The bin packing problem is to find the minimum number of bins of size one to pack a list of items with sizes a1,
Richard Beigel, Bin Fu