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» On Bin Packing with Conflicts
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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
CP
2010
Springer
13 years 3 months ago
Propagating the Bin Packing Constraint Using Linear Programming
The state-of-the-art global constraint for bin packing is due to Shaw. We compare two linear continuous relaxations of the bin packing problem, based on the DP-flow and Arc-flow ...
Hadrien Cambazard, Barry O'Sullivan
SWAT
2010
Springer
294views Algorithms» more  SWAT 2010»
13 years 2 months ago
Bin Packing with Fixed Number of Bins Revisited
As Bin Packing is NP-hard already for k = 2 bins, it is unlikely to be solvable in polynomial time even if the number of bins is a fixed constant. However, if the sizes of the item...
Klaus Jansen, Stefan Kratsch, Dániel Marx, ...
ISAAC
2010
Springer
221views Algorithms» more  ISAAC 2010»
13 years 2 months ago
Improved Online Algorithms for 1-Space Bounded 2-Dimensional Bin Packing
In this paper, we study 1-space bounded 2-dimensional bin packing and square packing. A sequence of rectangular items (square items, respectively) arrive over time, which must be p...
Yong Zhang, Jing-Chi Chen, Francis Y. L. Chin, Xin...
SIAMCOMP
2008
132views more  SIAMCOMP 2008»
13 years 4 months ago
An APTAS for Generalized Cost Variable-Sized Bin Packing
Bin packing is a well known problem which has a large number of applications. Classical bin packing is a simple model where all bins are identical. In the bin packing problem with...
Leah Epstein, Asaf Levin