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» Maximizing the Number of Packed Rectangles
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100
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SWAT
2004
Springer
117views Algorithms» more  SWAT 2004»
15 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
130
Voted
MOR
2006
123views more  MOR 2006»
14 years 10 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...
93
Voted
ORL
2006
91views more  ORL 2006»
14 years 10 months ago
Resource augmentation in two-dimensional packing with orthogonal rotations
We consider the problem of packing two-dimensional rectangles into the minimum number of unit squares, when 90 rotations are allowed. Our main contribution is a polynomial-time al...
José R. Correa
97
Voted
APPROX
2009
Springer
177views Algorithms» more  APPROX 2009»
15 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
98
Voted
SODA
2004
ACM
203views Algorithms» more  SODA 2004»
15 years 7 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