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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 5, Pages 56–62
DOI: https://doi.org/10.26907/0021-3446-2019-5-56-62 (Mi ivm9463) 		 
On reliability of large-scale nets constructed from identical elements

V. A. Rodin, S. V. Sinegubov

Voronezh Institute of Ministry of Internal Affairs of Russia, 53 Patriotov Ave., Voronezh, 394065 Russia
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DOI: https://doi.org/10.26907/0021-3446-2019-5-56-62
Abstract: We study the reliability of large-scale structures constructed from identical elements. We consider the structures constructed by serial-parallel extensions and fractal extensions. The number of consecutive connections and the number of parallel connections are presented as infinitely large quantities. It is shown that the reliability of ultimately obtained structures depends on the ratio of these quantities. For the practical application of fractal multiplication in the construction of systems of large reliability, the properties of modules with a number of elements of no more than five have been studied. The results of the work are used for fire-security alarm of complex ground and underground multistory buildings.
Keywords: reliability of complex electric circuits, series-parallel systems, reliability of fractals multiplying structures.
Received: 26.03.2018
Revised: 11.09.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 5, Pages 51–56
DOI: https://doi.org/10.3103/S1066369X19050050
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. A. Rodin, S. V. Sinegubov, “On reliability of large-scale nets constructed from identical elements”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5, 56–62; Russian Math. (Iz. VUZ), 63:5 (2019), 51–56
Citation in format AMSBIB
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\paper On reliability of large-scale nets constructed from identical elements
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2019
\issue 5
\pages 56--62
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\crossref{https://doi.org/10.26907/0021-3446-2019-5-56-62}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2019
\vol 63
\issue 5
\pages 51--56
\crossref{https://doi.org/10.3103/S1066369X19050050}
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