Cascade and System Reliability for Exponential Distributions

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