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ALGORITHMICA
2004
125views more  ALGORITHMICA 2004»
13 years 5 months ago
Multidimensional Cube Packing
We consider the d-dimensional cube packing problem (d-CPP): given a list L of d-dimensional cubes and (an unlimited quantity of) d-dimensional unit-capacity cubes, called bins, fi...
Yoshiharu Kohayakawa, Flávio Keidi Miyazawa...
MOR
2006
123views more  MOR 2006»
13 years 5 months ago
Bin Packing in Multiple Dimensions: Inapproximability Results and Approximation Schemes
We study the multidimensional generalization of the classical Bin Packing problem: Given a collection of d-dimensional rectangles of specified sizes, the goal is to pack them into ...
Nikhil Bansal, José R. Correa, Claire Kenyo...
WADS
2009
Springer
378views Algorithms» more  WADS 2009»
14 years 5 days 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
COR
2010
123views more  COR 2010»
13 years 5 months ago
Multi-dimensional bin packing problems with guillotine constraints
The problem addressed in this paper is the decision problem of determining if a set of multi-dimensional rectangular boxes can be orthogonally packed into a rectangular bin while ...
Rasmus Resen Amossen, David Pisinger
IPCO
2008
129views Optimization» more  IPCO 2008»
13 years 7 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