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This paper deals with a system consisting of  k  identical strength components where each side of a given component is composed of a pair of dependent elements. These elementshave bivariate generalized exponential distribution and each element is put through a common random stress  T  which has generalized exponential distribution. The system is considered as working only if at least  s  out ofstrength random variables overcome the random stress. The multicomponent reliability of the system is defined byat least  s  of theexceedwhereandforEstimation of the multicomponent reliability may help the safety management and prevent some catastrophic disaster. We estimate multicomponent reliabilityby using classical and Bayesian approaches. Since the explicit form of stress-strength reliability estimate is not accessible, Lindley’s approximation and the Markov Chain Monte Carlo (MCMC) methods are used to develop Bayes estimate ofFurther, numerical studies are conducted and the reliability estimators are compared through the estimated risks (ER).

Reliability of Multicomponent Stress-Strength Model Based on Bivariate Generalized Exponential Distribution