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» Approximation schemes for multidimensional packing
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IPCO
2008
129views Optimization» more  IPCO 2008»
13 years 10 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
VTC
2007
IEEE
100views Communications» more  VTC 2007»
14 years 2 months ago
Downlink Steered Space-Time Spreading Assisted Generalised Multicarrier DS-CDMA Using Sphere-Packing-Aided Multilevel Coding
— This paper presents a novel generalised Multi-Carrier Direct Sequence Code Division Multiple Access (MC DS-CDMA) system invoking smart antennas for improving the achievable per...
Mohammed El-Hajjar, Ronald Y. S. Tee, Hu Bin, Lie-...
FCT
2007
Springer
14 years 12 days ago
Multi-dimensional Packing with Conflicts
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
Leah Epstein, Asaf Levin, Rob van Stee
FOCS
2006
IEEE
14 years 2 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
WAOA
2007
Springer
109views Algorithms» more  WAOA 2007»
14 years 2 months ago
Approximation Schemes for Packing Splittable Items with Cardinality Constraints
We continue the study of bin packing with splittable items and cardinality constraints. In this problem, a set of items must be packed into as few bins as possible. Items may be s...
Leah Epstein, Rob van Stee