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Published in:
2007 | OriginalPaper | Chapter
Improved Online Hypercube Packing
Authors : Xin Han, Deshi Ye, Yong Zhou
Published in: Approximation and Online Algorithms
Publisher: Springer Berlin Heidelberg
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In this paper, we study online multidimensional bin packing problem when all items are hypercubes. Based on the techniques in one dimensional bin packing algorithm Super Harmonic by Seiden, we give a framework for online hypercube packing problem and obtain new upper bounds of asymptotic competitive ratios. For square packing, we get an upper bound of 2.1439, which is better than 2.24437. For cube packing, we also give a new upper bound 2.6852 which is better than 2.9421 by Epstein and van Stee.