Abstract

Abstract In this paper, some three-element classes of limit reliability functions for series-parallel and parallel-series systems with non-identical components are considered. The series-parallel system is such that the number of its series components is of less order than the logarithm of the number of its parallel components. The parallel-series system is such that the number of its parallel components is of less order than the logarithm of the number of its series components. Moreover, an example of the considered systems and its limit reliability function are given. The results may be useful in the reliability evaluation of large systems with non-identical components. In particular they can be useful to reliability practitioners dealing with design problems.

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