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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 3 | Year 2018 | Article Id. IJMTT-V53P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P528

Analysis of Two-Dissimilar Component System with Uncertain Availability of Repairman


Praveen Gupta, Ruchi Yadav
Abstract

The system consists of a two-dissimilar components working in parallel, say A and B. Both the components are operative initially at time t=0. A single repair facility is available for the repair. Upon failure of a component the repair facility, if not busy, is available with some fixed probability p. If repair facility is not available at the time of a failure of a component, it is called for repair. The repair facility appearance time distribution is exponential. When repair facility is busy in repair of the failed component, the other failed component waits for its repair. After repair, the components become as good as new. The repair time of both the components are arbitrary functions of time. Failure time distributions are assumed to be exponential.

Keywords
Reliability, Mean time to system failure, Availability, Exponential distribution.
References

[1] Goel, L.R. and Gupta, P. (1983): „Stochastic behavior of a two unit (dissimilar) hot standby system with three modes‟. Microelectron and Reliability, 23, 1035-1040.
[2] Gupta, P. and Saxena, M., (2006): “Reliability analysis of a single unit and two protection device system with two types of failure.” Ultra Science 18, 149-154.
[3] Mogha, A.K. and Gupta, A.K., (2002): „A two priority unit warm standby system model with preparation of repair‟. The Aligarh Journal of Statistics, 22, 73-90 (2002).
[4] Said,K.M. and Sherbeny,M.S.(2010): Stochastic analysis of a two-unit cold standby system with two-stage repair and waiting time .Sankhya The Indian Journal of Statistics, 72 B ,1-1.

Citation :

Praveen Gupta, Ruchi Yadav, "Analysis of Two-Dissimilar Component System with Uncertain Availability of Repairman," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 3, pp. 232-241, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P528

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