On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times

Vladimir Rykov, Dmitry Efrosinin, Natalia Stepanova and Janos Sztrik
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Vladimir Rykov: Department of Applied Mathematics and Computer Modelling, Faculty of Automation and Computer Science, Gubkin Russian State University of Oil and Gas, 119991 Moscow, Russia
Dmitry Efrosinin: Department of Information Technologies, Faculty of Mathematics and Natural Sciences, Peoples’ Friendship University of Russia (RUDN University), 117198 Moscow, Russia
Natalia Stepanova: Laboratory N17, Trapeznikov Institute of Control Sciences of RAS, 117997 Moscow, Russia
Janos Sztrik: Department of Informatics and Networks, Faculty of Informatics, University of Debrecen, 4032 Debrecen, Hungary

Mathematics, 2020, vol. 8, issue 2, 1-18

Abstract: The paper provides reliability analysis of a cold double redundant renewable system assuming that both life-time and repair time distributions are arbitrary. The proposed approach is based on the theory of decomposable semi-regenerative processes. We derive the Laplace–Stieltjes transform of two main reliability measures like the distribution of the time between failures and the time to the first failure. The transforms are used to calculate corresponding mean times. It is further derived in closed form the time-dependent and time stationary state probabilities in terms of the Laplace transforms. Numerical results illustrate the effect of the type of distributions as well as their parameters on the derived reliability and probabilistic measures.

Keywords: redundant system; reliability; arbitrary distributions; time-dependent characteristics; decomposable semi-regenerative process (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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