RELIABILITY ANALYSIS OF NETWORKS CONSISTING OF IDENTICAL ELEMENTS
https://doi.org/10.21683/1729-2646-2014-0-1-30-59
Abstract
The paper offers analytical models, which allows obtaining expressions for determining the reliability indices of networks consisting of identical elements. For networks consisting of recoverable elements, the mean time between failures and the mean time to repair in steady-state operation are considered as reliability indices. In assessing the reliability of networks of non-repairable elements, such an index is the mean time to failure.
About the Author
O. A. Tkachev
Institute of Mathematics and Informatics, Moscow Pedagogical University
Russian Federation
PhD Engineering, Assistant professor of Chair of Applied Informatics
Russian Federation
PhD Engineering, Assistant professor of Chair of Applied Informatics
References
1. Issues of the mathematical theory of reliability. E. Yu. Barzilovich, Yu.K. Belyaev, V.A. Kashtanov, I.N. Kovalenko, A.D. Soloviev, I.A. Ushakov. / Ed. by B.V.Gnedenko, Moscow, Radio and Communication, 1983. -367p.
2. Tkachev O. A. Using Markov chains to analyze reliability of systems with a complex structure. Cybernetics, # 5, 1983, pp. 95-101.
3. Tkachev O. A. Reliability analysis of data networks. – Proceedings of the International Conference “Distributed Computer and Telecommunication Networks: Theory and Applications” (DCCN-2.010) ISBN 978-5-9901871-2-2, Russia, Moscow, 2010, pp..276-283.
4. Mathematical Methods in Reliability theory. B.V. Gnedenko, Yu.K. Belyaev, A.D. Soloviev. Moscow: Nauka, 1965. – 524 p. with illustrations.
5. The theory of designing computers, systems and networks: Tutorial / V.I.Matov, G.T.Artamonov, O.M. Brekhov and others; ed. V.I.Matov. -M.: Publishing House of the Moscow Aviation Institute, 1999. -460 p.
6. Tkachev O. Analytical estimation of reliability of networks consisting of identical elements. Reliability – Theory & Application, ISSN 1932-2321, № 2 (21) 2011, p.9-20.
7. Tkachev O. Determination of mean time to failure of a network consisting of identical non-repairable elements. Reliability – Theory & Application, ISSN 1932-2321, № 3 (22) 2011, p. 43-46.
Review
For citations:
Tkachev O.A. RELIABILITY ANALYSIS OF NETWORKS CONSISTING OF IDENTICAL ELEMENTS. Dependability. 2014;(1):30-59. https://doi.org/10.21683/1729-2646-2014-0-1-30-59
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ISSN 1729-2646 (Print)
ISSN 2500-3909 (Online)
ISSN 2500-3909 (Online)
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