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» Improved Approximation for Vector Bin Packing
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APPROX
2009
Springer
177views Algorithms» more  APPROX 2009»
15 years 4 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
FOCS
2006
IEEE
15 years 3 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
WADS
2009
Springer
378views Algorithms» more  WADS 2009»
15 years 4 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
SODA
2004
ACM
203views Algorithms» more  SODA 2004»
14 years 11 months ago
Approximation schemes for multidimensional packing
We consider a classic multidimensional generalization of the bin packing problem, namely, packing d-dimensional rectangles into the minimum number of unit cubes. Our two results a...
José R. Correa, Claire Kenyon
SIAMJO
2008
175views more  SIAMJO 2008»
14 years 9 months ago
On Bin Packing with Conflicts
Abstract. We consider the offline and online versions of a bin packing problem called bin packing with conflicts. Given a set of items V = {1, 2, . . . , n} with sizes s1, s2 . . ....
Leah Epstein, Asaf Levin