International Journal of Statistics and Reliability Engineering

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Vol 6, No 1 :

openaccess

Stochastic Analysis of a 3-out-of-3 Redundant System with One Cold Standby Unit

Jitender Kumar , M. S Kadyan

Abstract

Here, two reliability models of a redundant system of four identical units have been analyzed stochastically in which three units work in parallel and one unit is kept as spare in cold standby. The system is considered in up-state if any three units are operative and so called a 3-out-of-3 Redundant System. There is a single repairman who visits the system immediately to do repair activities. In model-II, the repairman inspects the failed unit to see the feasibility of its repair or replacement. The time to failure and repair of the unit are taken as general. The results for some measures of system effectiveness are obtained in steady state by adopting semi-Markov process and regenerative point technique. The results for MTSF and profit function are obtained for particular values of the parameters and costs by considering exponential, Rayleigh and Weibull distributions for all random variables.

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ISSN(P) 2350-0174

ISSN(O) 2456-2378

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