On the reliability of complex systems with three dependent components per element

Abstract

. The complex system containing n elements, each having three dependent components, is described. The reliability function of such systems is investigated using a trivariate binomial model. In addition, the mean residual life function of a complex system with intact components at time t is derived. The results are simplified for a trivariate Farlie-Gumbel-Morgenstern family with standard exponential marginal distribution functions. The e ff ect of various parameters on the reliability and mean residual life functions are studied via some graphical representations.