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» Approximation schemes for multidimensional packing
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IPCO
2008
129views Optimization» more  IPCO 2008»
13 years 6 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»
13 years 11 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
13 years 9 months 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
13 years 11 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»
13 years 11 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