Abstract
In this paper, we consider the problem of estimation reliability in multicomponent stress-strength model, when the system consists of k-components have strength are given by independently and identically distributed random variables X-1, ..., X-k each component experiencing a random stress governed by a random variable Y. The reliability such system is obtained when strength and stress variables are given by a generalized linear failure rate distribution. The system is regarded as alive only if at least s out of k (s < k) strength exceed the stress. The multicomponent reliability of the system is given by R-s,R-k = P[ at least s of X-1, ..., X-k, exceed Y]. The maximum likelihood estimator (MLE) and Bayes estimator of R-s,R-k are obtained. A simulation study is performed to compare the different estimators of R-s,R-k. Real data is used as a practical application of the proposed procedure.