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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 11 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