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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 4, Pages 21–34
DOI: https://doi.org/10.17377/daio.2015.22.475 (Mi da822) 		 
This article is cited in 5 scientific papers (total in 5 papers)

About density of a covering of a strip with identical sectors

A. I. Erzinab, N. A. Shabelnikovaa

a Sobolev Institute of Mathematics, 4 Koptyug Ave., 630090 Novosibirsk, Russia
b Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
Full-text PDF (384 kB) Citations (5)
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DOI: https://doi.org/10.17377/daio.2015.22.475
Abstract: We study the problem of constructing a regular covering of a strip of the least density with the identical sectors that arises in design of wireless sensor networks. Three coverage models are proposed and the comparative analysis was performed that allowed us to obtain, in particular, an upper bound on the minimum density of a covering of a strip with sectors. Tab. 1, ill. 6, bibliogr. 21.
Keywords: regular coverage, minimization of density, sensor networks.
Received: 12.02.2015
Revised: 13.05.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 4, Pages 461–468
DOI: https://doi.org/10.1134/S199047891504002X
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: A. I. Erzin, N. A. Shabelnikova, “About density of a covering of a strip with identical sectors”, Diskretn. Anal. Issled. Oper., 22:4 (2015), 21–34; J. Appl. Industr. Math., 9:4 (2015), 461–468
Citation in format AMSBIB
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\by A.~I.~Erzin, N.~A.~Shabelnikova
\paper About density of a~covering of a~strip with identical sectors
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 4
\pages 21--34
\mathnet{http://mi.mathnet.ru/da822}
\crossref{https://doi.org/10.17377/daio.2015.22.475}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3467233}
\elib{https://elibrary.ru/item.asp?id=23859895}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 4
\pages 461--468
\crossref{https://doi.org/10.1134/S199047891504002X}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :121
    References:55
    First page:13
     
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