Cascade System with $Pr(X<Y<Z)$

Chumchum Doloi, Munindra Borah, Jonali Gogoi

Abstract


The paper considers a $n$-cascade system with $P(X<Y<Z)$ where $Y$ is the stress on the component subjected to two strengths $X$ and $Z$.\ Reliability expressions of an $n$-cascade system is obtained when stress-strength both are either Exponential or Rayleigh or Lindley. It is also considered the cases when both strengths are one parameter exponential and stress follows Lindley distributions and when both strengths are one parameter exponential and stress follows two parameters gamma distributions. The numerical values $R(1)$, $R(2)$, $R(3)$ and $R_3$ have also been computed and provided in tabular forms for some specific values of the parameters.

Keywords


Cascade system; Stress-Strength reliability; Exponential; Rayleigh; Gamma distribution

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DOI: http://dx.doi.org/10.26713%2Fjims.v5i1.105

eISSN 0975-5748; pISSN 0974-875X