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IPL
2008
132views more  IPL 2008»
13 years 11 months ago
Asymptotic fully polynomial approximation schemes for variants of open-end bin packing
We consider three variants of the open-end bin packing problem. Such variants of bin packing allow the total size of items packed into a bin to exceed the capacity of a bin, provi...
Leah Epstein, Asaf Levin
AAIM
2007
Springer
103views Algorithms» more  AAIM 2007»
14 years 5 months ago
Strip Packing vs. Bin Packing
In this paper we establish a general algorithmic framework between bin packing and strip packing, with which we achieve the same asymptotic bounds by applying bin packing algorithm...
Xin Han, Kazuo Iwama, Deshi Ye, Guochuan Zhang
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
CP
2010
Springer
13 years 9 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 8 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, ...