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SODA
2001
ACM
110views Algorithms» more  SODA 2001»
14 years 8 days ago
Improved approximation algorithms for rectangle tiling and packing
We provide improved approximation algorithms for several rectangle tiling and packing problems (RTILE, DRTILE and d-RPACK) studied in the literature. Our algorithms are highly eff...
Piotr Berman, Bhaskar DasGupta, S. Muthukrishnan, ...
APPROX
2009
Springer
177views Algorithms» more  APPROX 2009»
14 years 5 months ago
Improved Absolute Approximation Ratios for Two-Dimensional Packing Problems
Abstract. We consider the two-dimensional bin packing and strip packing problem, where a list of rectangles has to be packed into a minimal number of rectangular bins or a strip of...
Rolf Harren, Rob van Stee
SODA
2004
ACM
203views Algorithms» more  SODA 2004»
14 years 8 days 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
STOC
2005
ACM
143views Algorithms» more  STOC 2005»
14 years 4 months ago
On strip packing With rotations
We present an asymptotic fully polynomial time approximation scheme for two-dimensional strip packing with rotations. In this problem, a set of rectangles need to be packed into a...
Klaus Jansen, Rob van Stee
SWAT
2004
Springer
117views Algorithms» more  SWAT 2004»
14 years 4 months ago
Maximizing the Number of Packed Rectangles
Given a set of rectangles we are asked to pack as many of them as possible into a bigger rectangle. The rectangles packed may not overlap and may not be rotated. This problem is NP...
Klaus Jansen, Guochuan Zhang