Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 1, Pages 16–22 (Mi vmumm4373)  
Mathematics

Asymptotic analysis of reliability of a system with reserve elements and repairing device

L. G. Afanas'eva, E. A. Golovastova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: The paper deals with a system consisting of $n$ identical elements and one repairing device. While one element is working, other ones stay in reserve. The distribution of working and repairing times of elements are supposed to be exponential. We obtain the asymptotic distribution of the system lifetime under conditions of its high reliability.
Key words: reliability theory, Markov chain, distribution function, asymptotic behavior.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00-487
Received: 26.02.2020
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 1, Pages 16–21
DOI: https://doi.org/10.3103/S0027132221010022
Bibliographic databases:
Document Type: Article
UDC: 519.873
Language: Russian
Citation: L. G. Afanas'eva, E. A. Golovastova, “Asymptotic analysis of reliability of a system with reserve elements and repairing device”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 1, 16–22; Moscow University Mathematics Bulletin, 76:1 (2021), 16–21
Citation in format AMSBIB
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    References:23
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