International Journal of Statistics and Applied Mathematics
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International Journal of Statistics and Applied Mathematics

2018, Vol. 3, Issue 2, Part B

Stochastic analysis of a two-unit redundant system with preventive maintenance


Author(s): Dr. Ubed Afzal

Abstract: This manuscript deals with a new class of the stochastic model of a two-unit cold stand by system is analyzed. There is a single repair facility to repair the failed unit. A unit is repaired in two phases and each phase the repair is performed in two parts. Therefore, the repair time distribution in each phase is assumed to be two-stage Erlangian with parameters (2, λ) and (2,µ) in phase I and in phase II respectively. The repair facility repairs both the phases of repair and can repair one unit at a time. After phase II repair a units works as good as new. Using suitably chosen regeneration points the system model is analyzed probabilistically to obtain various useful reliability measures as in earlier chapters. we consider a two-unit standby system with preventive maintenance of the operative unit. There is a transfer switch to connect online the standby unit. The transfer switch operates instantaneously at the time of need with some fixed probability. There is also a repair facility, which repairs the failed unit. The repair facility is also takes some random time in arriving at the system. Considering failure and appearance time of repair facility as exponential and all other distributions time dependent, the system model is analysed to obtain the various performance measures.

Pages: 83-92 | Views: 563 | Downloads: 12

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How to cite this article:
Dr. Ubed Afzal. Stochastic analysis of a two-unit redundant system with preventive maintenance. Int J Stat Appl Math 2018;3(2):83-92.
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