Abstract
A dual failure mode (DFM) system is a system whose components are subject to two different kinds of failure (three-state units). In this paper, a new system (the consecutive- k, r-out-of- n:DFM system) is introduced by considering an extension of the well-known and much studied consecutive- k-out-of- n:F system to a dual failure mode environment. Recursive formulae are provided for the evaluation of the reliability of a consecutive- k, r-out-of- n:DFM system with unequal component failure probabilities. Finally, some simple upper and lower reliability bounds are established which provide quite adequate approximations, at least for highly reliable systems.
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