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A new analysis of best fit bin packing
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SYSNO ASEP 0387099 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title A new analysis of best fit bin packing Author(s) Sgall, Jiří (MU-W) RID, ORCID, SAI Source Title Fun with Algorithms. - Heidelberg : Springer, 2012 / Kranakis E. ; Krizanc D. ; Luccio F. - ISSN 0302-9743 - ISBN 978-3-642-30346-3 Pages s. 315-321 Number of pages 7 s. Publication form Print - P Action 6th International Conference on Fun with Algorithms, FUN 2012 Event date 04.06.2012-06.06.2012 VEvent location Venice Country IT - Italy Event type WRD Language eng - English Country DE - Germany Keywords problem complexity ; approximation Subject RIV BA - General Mathematics R&D Projects IAA100190902 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) EID SCOPUS 84861965053 DOI 10.1007/978-3-642-30347-0_31 Annotation We give a simple proof and a generalization of the classical result which says that the (asymptotic) approximation ratio of BestFit algorithm is 1.7. We generalize this result to a wide class of algorithms that are allowed to pack the incoming item to any bin with load larger than 1/2 (if it fits), instead to the most full bin, and at the same time this class includes the bounded-space variants of these algorithms. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
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