Mixture Representations for Three-State Systems With Three-State Components
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Date
2015
Authors
Eryilmaz, Serkan
Eryılmaz, Serkan
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Publisher
Ieee-inst Electrical Electronics Engineers inc
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Abstract
This paper is concerned with dynamic reliability modeling of three-state systems consisting of three-state s-independent components. The components and the systems are assumed to be in three states: perfect functioning, partial performance, and complete failure. Survival functions of such systems are studied in different state subsets. It is shown that the survival function of a three-state system with a general structure can be represented as a mixture of the survival functions of the three-state k-out-of-n:G systems. The results are illustrated for the three-state consecutive-k-out-of-n:G systems whose components degrade according to a Markov process.
Description
Eryilmaz, Serkan/0000-0002-2108-1781
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Keywords
Multi-state systems, order statistics, survival function
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Citation
8
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Q1
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Volume
64
Issue
2
Start Page
829
End Page
834