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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 10, Pages 1931–1936 (Mi zvmmf9566)  
This article is cited in 6 scientific papers (total in 6 papers)

Probabilistic analysis of a new class of strip packing algorithms

N. N. Kuzyurin, A. I. Pospelov

Institute for System Programming, Russian Academy of Sciences, ul. Solzhenitsyna 25, Moscow, 109004 Russia
Full-text PDF (186 kB) Citations (6)
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Abstract: A new class of algorithms for online packing of rectangles into a strip is proposed and studied. It is proved that the expectation of the unfilled area for this class of algorithms is $O(N^{2/3})$ in the standard (for this type of problems) probabilistic model for $N$ random rectangles.
Key words: strip packing, probabilistic analysis, approximate algorithms.
Received: 11.06.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 10, Pages 1817–1822
DOI: https://doi.org/10.1134/S0965542511100071
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: N. N. Kuzyurin, A. I. Pospelov, “Probabilistic analysis of a new class of strip packing algorithms”, Zh. Vychisl. Mat. Mat. Fiz., 51:10 (2011), 1931–1936; Comput. Math. Math. Phys., 51:10 (2011), 1817–1822
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:342
    Full-text PDF :84
    References:60
    First page:10
     
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