Abstract
In this paper, the lifetimes of system components are assumed to have independent and nonidentical uncertainty distributions with uncertain parameters. The reliability functions and mean time to failure of the general systems are investigated according to the uncertainty theory. Basic models of the general systems with bi-uncertain variables are established and analyzed, including series, parallel and series–parallel systems. The explicit expressions of reliability function and mean time to failure of each model are presented. Some numerical examples are given to illustrate the applications of the developed models and perform a comparison for the models with uncertain and bi-uncertain variables.
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