Performance Analysis for a Network having Standby Redundant Unit with Waiting in Repair

Jitendra Singh^1,* and Rabins Porwal²

^1,*Research Scholar, NIMS University, Rajasthan, India

²Associate Professor, Department of Information Technology,

Institute of Technology & Science (ITS), Mohan Nagar, Ghaziabad (UP) – 201 007,INDIA

In this paper, the authors deal with a complex network having n-identical units in series and two identical standby units for evaluation of its ability measures. The authors have been used supplementary variables technique to formulate the mathematical equations for various flow-states of fig-1(b). These mathematical equations have been solved by the application of Laplace transform. The Laplace transforms of various flow-states probabilities have obtained. We have calculated the expressions for reliability function, availability function and mean time to failure (M.T.T.F.). Analysis of time-independent state probabilities and a particular case, when all repairs follow exponential time distribution, have also given to improve the practical utility of the model.

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