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» Two for One: Tight Approximation of 2D Bin Packing
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WADS
2009
Springer
378views Algorithms» more  WADS 2009»
13 years 11 months ago
Two for One: Tight Approximation of 2D Bin Packing
In this paper, we study the two-dimensional geometrical bin packing problem (2DBP): given a list of rectangles, provide a packing of all these into the smallest possible number of ...
Klaus Jansen, Lars Prädel, Ulrich M. Schwarz
TCS
2010
13 years 2 months ago
Tight results for Next Fit and Worst Fit with resource augmentation
It is well known that the two simple algorithms for the classic bin packing problem, NF and WF both have an approximation ratio of 2. However, WF seems to be a more reasonable alg...
Joan Boyar, Leah Epstein, Asaf Levin
ICALP
2005
Springer
13 years 10 months ago
Balanced Allocation and Dictionaries with Tightly Packed Constant Size Bins
We study a particular aspect of the balanced allocation paradigm (also known as the “two-choices paradigm”): constant sized bins, packed as tightly as possible. Let d ≥ 1 be...
Martin Dietzfelbinger, Christoph Weidling
RANDOM
1998
Springer
13 years 8 months ago
On-Line Bin-Stretching
We are given a sequence of items that can be packed into m unit size bins. In the classical bin packing problem we x the size of the bins and try to pack the items in the minimum ...
Yossi Azar, Oded Regev
FCT
2007
Springer
13 years 8 months ago
Multi-dimensional Packing with Conflicts
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
Leah Epstein, Asaf Levin, Rob van Stee