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» On the sum-of-squares algorithm for bin packing
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AOR
2006
99views more  AOR 2006»
14 years 10 months ago
On-line bin Packing with Two Item Sizes
The problem of on-line bin packing restricted to instances with only two item sizes (known in advance) has a well-known lower bound of 4/3 for its asymptotic competitive ratio. We...
Gregory Gutin, Tommy R. Jensen, Anders Yeo
SIU
2002
97views more  SIU 2002»
14 years 9 months ago
Problem Generators for Rectangular packing problems
Abstract. In order to verify and test the performance of new packing algorithms relative to existing algorithms, test problems are needed. The scope of published test instances for...
E. Hopper, B. C. H. Turton
IPCO
2008
129views Optimization» more  IPCO 2008»
14 years 11 months ago
A Polynomial Time Approximation Scheme for the Square Packing Problem
Given a set Q of squares with positive pro ts, the square packing problem is to select and pack a subset of squares of maximum pro t into a rectangular bin R. We present a polynomi...
Klaus Jansen, Roberto Solis-Oba
STOC
2005
ACM
143views Algorithms» more  STOC 2005»
15 years 3 months ago
On strip packing With rotations
We present an asymptotic fully polynomial time approximation scheme for two-dimensional strip packing with rotations. In this problem, a set of rectangles need to be packed into a...
Klaus Jansen, Rob van Stee
TCS
2008
14 years 10 months ago
Bincoloring
We introduce a new problem that was motivated by a (more complicated) problem arising in a robotized assembly environment. The bin coloring problem is to pack unit size colored it...
Sven Oliver Krumke, Willem de Paepe, Jörg Ram...