Reliability analysis of a two-unit standby system by computer simulation
DOI:
https://doi.org/10.2298/YJOR0301085DKeywords:
reliability, two-unit standby system, maintenance, weibull distribution, simulationAbstract
We study the two-unit standby system with repair and with preventive maintenance. Preventive maintenance is introduced in order to make the lifetime of the system longer. Using Monte-Carlo method we simulate the work of the two-unit system and we analyze the influence of different types of preventive maintenance on reliability of the system. Monte-Carlo method enables us to find estimates of various parameters relevant to the system for which there exist no explicit formulas in the literature. .References
Arndt, K. (1977) Computation of reliability of a two-unit system by method of embedded semi- Markov processes. Izv. AN. SSSR. Tekhnicheskaya Kibernetika, 3, 70-79
Brodi, S.M., Pogosyan, I.A. (1973) Embedded stochastic processes in the queuing theory
Csenki, A. (1995) Transient analysis of interval availability for repairable systems modeled by finite semi-Markov processes. Journal of Mathematics Applied in Business and Industry, 6, 3, 267-281
Csenki, A. (1995) Total cumulative work until failure modeled by a finite semi-Markov process. International Journal of Systems Science, 26, 8, 1511-1525
Davidović, T.M., Janković, S.S. (1999) Analysis of the work of two-unit system with repair and strict preventive maintenance. u: SIM-OP-IS`99, 351-354
Gnedenko, B.V., Dinić, M., Nasr, Y. (1975) On the reliability of a two-unit standby system with repair and with preventive maintenance. u: Izv. AN. SSSR Tekhnicheskaja Kibernetika, 1, 66-71, in Russian
Gnedenko, B.V., Kovalenko, I.N. (1991) Introduction to queuing theory. Basel, itd: Birkhaüser
Gnedenko, B.V., Belyaev, Yu.K., Solovov, A.D. (1965) Mathematical methods in reliability theory
Gnedenko, B.V., Janjić, S. (1983) A characteristic property of one class of limit distributions. Mathematische Nachrichten, 113, 145-149
Gnedenko, B.V., Korolev, V.Yu. (1996) Random summation. Boca Raton, FL, itd: CRC Press
Jack, N. (1998) Age-reduction models for imperfect maintenance. Journal of Mathematics Applied in Business and Industry, 9, 4
Janjić, S. (1981) Limit theorems for two-unit standby redundant systems with rapid repair and rapid preventive maintenance. Publications de l'Institut mathematique, 29(43), 75-87
Janjić, S. (1982) A note on two-unit standby systems. Publications de l'Institut mathematique, 32(46), 65-75
Osaki, S., Asakura, T. (1970) A two-unit standby redundant system with repair and preventive maintenance. Journal of Applied Probability, 7, 641-648
Whitaker, L., Samaniego, J. (1989) Estimating the reliability of systems subject to imperfect repair. Journal of the American Statistical Association, 84, 405, 301-309
Downloads
Published
Issue
Section
License
Copyright (c) YUJOR
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
