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Diskretnaya Matematika, 2006, Volume 18, Issue 1, Pages 76–90
DOI: https://doi.org/10.4213/dm33 (Mi dm33) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Probabilistic analysis of shelf algorithms for packing rectangles into a strip

N. N. Kuzyurin, A. I. Pospelov
Full-text PDF (950 kB) Citations (2)
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DOI: https://doi.org/10.4213/dm33
Abstract: In this paper, we consider algorithms to pack rectangles into a strip. As the main result we present an algorithm that packs rectangles online and for which the ratio of expected wasted area to expected occupied area tends to zero as the number of rectangles increases.
The research was supported by the Russian Foundation for Basic Research, grants 05–01–00798 and 04–01–00359.
Received: 26.01.2005
English version:
Discrete Mathematics and Applications, 2006, Volume 16, Issue 1, Pages 61–72
DOI: https://doi.org/10.1515/156939206776241228
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: N. N. Kuzyurin, A. I. Pospelov, “Probabilistic analysis of shelf algorithms for packing rectangles into a strip”, Diskr. Mat., 18:1 (2006), 76–90; Discrete Math. Appl., 16:1 (2006), 61–72
Citation in format AMSBIB
\Bibitem{KuzPos06}
\by N.~N.~Kuzyurin, A.~I.~Pospelov
\paper Probabilistic analysis of shelf algorithms for packing rectangles into a strip
\jour Diskr. Mat.
\yr 2006
\vol 18
\issue 1
\pages 76--90
\mathnet{http://mi.mathnet.ru/dm33}
\crossref{https://doi.org/10.4213/dm33}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2254736}
\zmath{https://zbmath.org/?q=an:1121.68127}
\elib{https://elibrary.ru/item.asp?id=9188333}
\transl
\jour Discrete Math. Appl.
\yr 2006
\vol 16
\issue 1
\pages 61--72
\crossref{https://doi.org/10.1515/156939206776241228}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744790052}
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  • https://doi.org/10.4213/dm33
  • https://www.mathnet.ru/eng/dm/v18/i1/p76
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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