ESTIMATION OF R=P(X>Y) FOR MULTICOMPONENT SYSTEMS USING EXPONENTIAL STRENGTH AND GAMMA STRESS DISTRIBUTIONS

Abstract

In this paper, we present estimation of R = P(X > Y) , a measure of system reliability, for multicomponent systems with standby 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 for study of system reliability. Here, we assume that all the components are independent and follow the exponential strength and gamma stress distributions. The marginal and system reliability are computed for different stress-strength parameters. The variation in system reliability is shown graphically.