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Diskretnaya Matematika, 2006, Volume 18, Issue 1, Pages 91–105
DOI: https://doi.org/10.4213/dm34 (Mi dm34) 		 
This article is cited in 39 scientific papers (total in 39 papers)

Approximate algorithms for packing rectangles into several strips

S. N. Zhuk
Full-text PDF (1101 kB) Citations (39)
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DOI: https://doi.org/10.4213/dm34
Abstract: We consider a problem to pack rectangles into several semi-infinite strips of certain widths. We suggest two simply realised online algorithms, that is, algorithms which pack rectangles just at the moments of their arrivals. It is shown that the accuracy of the former algorithm cannot be approximated by any absolute constant. The latter algorithm guarantees a constant multiplicative accuracy, and the obtained estimate of the multiplicative accuracy is unimprovable.
The research was supported by the Russian Foundation for Basic Research, grant 05–01–00798.
Received: 26.01.2005
English version:
Discrete Mathematics and Applications, 2006, Volume 16, Issue 1, Pages 73–85
DOI: https://doi.org/10.1515/156939206776241264
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: S. N. Zhuk, “Approximate algorithms for packing rectangles into several strips”, Diskr. Mat., 18:1 (2006), 91–105; Discrete Math. Appl., 16:1 (2006), 73–85
Citation in format AMSBIB
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\by S.~N.~Zhuk
\paper Approximate algorithms for packing rectangles into several strips
\jour Diskr. Mat.
\yr 2006
\vol 18
\issue 1
\pages 91--105
\mathnet{http://mi.mathnet.ru/dm34}
\crossref{https://doi.org/10.4213/dm34}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2254737}
\zmath{https://zbmath.org/?q=an:1111.68151}
\elib{https://elibrary.ru/item.asp?id=9188334}
\transl
\jour Discrete Math. Appl.
\yr 2006
\vol 16
\issue 1
\pages 73--85
\crossref{https://doi.org/10.1515/156939206776241264}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744809060}
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    • This publication is cited in the following 39 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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