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

The complex system containing n elementsý, ýeach having three dependent componentsý, ýis describedý. ýThe reliability function of such systems is investigated using a trivariate binomial modelý. ýIn additioný, ýthe mean residual life function of a complex system with intact components at time t is derivedý. ýThe results are simplified for a trivariate Farlie-Gumbel-Morgenstern family with standard exponential marginal distribution functionsý. ýThe effect of various parameters on the reliability and mean residual life functions are studied via some graphical representations.