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Research Article

Year : 2016 | Volume: 2 | Issue: 2 | Pages: 1-8

Cascade and System Reliability for Exponential Distributions

Dhananjaya Reddy1*, 2

DOI: 10.18831/djmaths.org/2016021001

Corresponding author

Dhananjaya Reddy*

Assistant professor in Mathematics, Govt.Degree College, Puttur, Andhara Pradhesh, India.

  • 1. Assistant professor in Mathematics, Govt.Degree College, Puttur, Andhara Pradhesh, India.

Received on: 2016/03/30

Revised on: 2016/05/31

Accepted on: 2016/07/23

Published on: 2016/07/26

Abstract

This paper presents the estimation of R = P(X > Y) by considering cascade stress-strength model. The system survives if and only if the strength (X) is greater than the stress (Y), otherwise fails. The statistical model is formed to study cascade and system reliability. Here, we assume that all the components are independent and follow the one-parameter exponential strength-stress distributions. The first four cascade reliabilities are computed for different values of strength-stress parameters. The statistical variation in cascade and system reliability is shown graphically.  

Keywords

Attenuation factor, Cascade reliability, Exponential distribution, Statistical model, Strength-stress model.