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» Tighter bounds of the First Fit algorithm for the bin-packin...
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SODA
1998
ACM
159views Algorithms» more  SODA 1998»
13 years 6 months ago
Average-Case Analyses of First Fit and Random Fit Bin Packing
We prove that the First Fit bin packing algorithm is stable under the input distribution U{k - 2, k} for all k 3, settling an open question from the recent survey by Coffman, Gar...
Susanne Albers, Michael Mitzenmacher
FCT
2005
Springer
13 years 10 months ago
The Maximum Resource Bin Packing Problem
Usually, for bin packing problems, we try to minimize the number of bins used or in the case of the dual bin packing problem, maximize the number or total size of accepted items. ...
Joan Boyar, Leah Epstein, Lene M. Favrholdt, Jens ...
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
FOCS
2006
IEEE
13 years 11 months ago
Improved approximation algorithms for multidimensional bin packing problems
In this paper we introduce a new general framework for set covering problems, based on the combination of randomized rounding of the (near-)optimal solution of the Linear Programm...
Nikhil Bansal, Alberto Caprara, Maxim Sviridenko