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» On Bin Packing with Conflicts
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APPROX
2009
Springer
177views Algorithms» more  APPROX 2009»
15 years 7 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
139
Voted
CP
2010
Springer
14 years 11 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»
14 years 11 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»
14 years 11 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...
111
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SIAMCOMP
2008
132views more  SIAMCOMP 2008»
15 years 28 days 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