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» Approximation schemes for multidimensional packing
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MOR
2006
123views more  MOR 2006»
13 years 5 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 7 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 10 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 5 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