Frechet Cascade Stress-Strength System Reliability

Abstract

In this paper it has been discussed the reliability of n- cascade system when the stress and strength are Frechet distributed random variables. The n-Cascade system is a standby redundancy system, where the standby component taking the place of failed component with decreased value of stress and independently distributed strength. Cascade reliability model is a special type of Stress- Strength model. For n=2,3,4 as Marginal Reliabilities, The values of Marginal Reliabilities used to find the system Reliabilities R_{2 ,} R₃ and R₄ of Cascade model, which studied for this model in different cases for the parameters of this distribution according to the Cascade variables. These cases are 12 special cases and the values of R_{2 ,} R₃ and R₄ are discussed for each of these cases.

Keywords : Frechet Distribution, Stress-Strength Cascade Model, Reliability for Cascade Model.