Availability and Reliability Analysis for Dependent System with Load-Sharing and Degradation Facility

Abstract

In this paper, analysis of a system consists of two dependent components with degradation facility and load sharing is introduced. The system is considered to be consisted of two components connected in parallel and works dependently where the failure of any component affects the failure of the other one. In addition, it is assumed that there is a common failure between the two components. All failure and repair rates are assumed to be constant follow bivariate exponential distribution. Markov models are used to construct the mathematical model of the system. Analysis of the availability function and steady-state availability of the model is discussed. Reliability and mean time to failure for the system is introduced. A numerical example is given for illustration.

Modeling of System Availability and Bayesian Analysis of Bivariate Distribution

“…Tahmasebi et al [38] conduct a study of reliability characteristics of the bivariate Rayleigh distribution. Temraz [39] provides an analysis of the system of two dependent components and implements it into a load-sharing and degradation facility. Hu et al [40] study time-dependent system reliability, computed as the probability that the responses of a system do not exceed prescribed failure thresholds over a time duration of interest.…”