A Probabilistic Approach for Threshold Reliability Structures with Three Different Types of Components

Ioannis S. Triantafyllou ()
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Ioannis S. Triantafyllou: Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece

Mathematics, 2024, vol. 12, issue 21, 1-14

Abstract: In the present work, we study threshold reliability systems consisting of three different kinds of independent components. Within these structures, the components belonging to the same type, share a common reliability and the same weight. The reliability attributes of the aforementioned systems are investigated in some detail. Explicit expressions for calculating their reliability function, the mean time to failure and the corresponding Birnbaum’s importance measures are established. For illustration purposes, several numerical results are presented, while some concluding remarks about the impact of the design parameters of the underlying structures are delivered. A short discussion for potential future work is also developed.

Keywords: threshold reliability structures; mean time to failure; reliability function; Birnbaum’s importance measures (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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