On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/2/278 |
| _version_ | 1818142687627313152 |
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| author | Vladimir Rykov Dmitry Efrosinin Natalia Stepanova Janos Sztrik |
| author_facet | Vladimir Rykov Dmitry Efrosinin Natalia Stepanova Janos Sztrik |
| author_sort | Vladimir Rykov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-11T11:19:44Z |
| format | Article |
| id | doaj.art-b6bfb05f2be5411b9a3c392dc8bf9ee1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-11T11:19:44Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b6bfb05f2be5411b9a3c392dc8bf9ee12022-12-22T01:09:13ZengMDPI AGMathematics2227-73902020-02-018227810.3390/math8020278math8020278On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair TimesVladimir Rykov0Dmitry Efrosinin1Natalia Stepanova2Janos Sztrik3Department of Applied Mathematics and Computer Modelling, Faculty of Automation and Computer Science, Gubkin Russian State University of Oil and Gas, 119991 Moscow, RussiaDepartment of Information Technologies, Faculty of Mathematics and Natural Sciences, Peoples’ Friendship University of Russia (RUDN University), 117198 Moscow, RussiaLaboratory N17, Trapeznikov Institute of Control Sciences of RAS, 117997 Moscow, RussiaDepartment of Informatics and Networks, Faculty of Informatics, University of Debrecen, 4032 Debrecen, HungaryThe 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.https://www.mdpi.com/2227-7390/8/2/278redundant systemreliabilityarbitrary distributionstime-dependent characteristicsdecomposable semi-regenerative process |
| spellingShingle | Vladimir Rykov Dmitry Efrosinin Natalia Stepanova Janos Sztrik On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times Mathematics redundant system reliability arbitrary distributions time-dependent characteristics decomposable semi-regenerative process |
| title | On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times |
| title_full | On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times |
| title_fullStr | On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times |
| title_full_unstemmed | On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times |
| title_short | On Reliability of a Double Redundant Renewable System with a Generally Distributed Life and Repair Times |
| title_sort | on reliability of a double redundant renewable system with a generally distributed life and repair times |
| topic | redundant system reliability arbitrary distributions time-dependent characteristics decomposable semi-regenerative process |
| url | https://www.mdpi.com/2227-7390/8/2/278 |
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