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» On the sum-of-squares algorithm for bin packing
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AAIM
2007
Springer
103views Algorithms» more  AAIM 2007»
13 years 11 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»
13 years 12 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
ISAAC
2010
Springer
221views Algorithms» more  ISAAC 2010»
13 years 3 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...
SWAT
2010
Springer
294views Algorithms» more  SWAT 2010»
13 years 3 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, ...
ESA
1993
Springer
140views Algorithms» more  ESA 1993»
13 years 9 months ago
Fully Dynamic Algorithms for Bin Packing: Being (mostly) Myopic Helps
The problem of maintaining an approximate solution for one-dimensional bin packing when items may arrive and depart dynamically is studied. In accordance with various work on fully...
Zoran Ivkovic, Errol L. Lloyd