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SODA
2001
ACM
110views Algorithms» more  SODA 2001»
13 years 6 months 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»
13 years 11 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»
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
STOC
2005
ACM
143views Algorithms» more  STOC 2005»
13 years 10 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»
13 years 10 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