Reliability modeling of three-state systems with multiple types of components

Somayeh Ashrafi
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Somayeh Ashrafi: Department of Statistics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, Iran

Journal of Risk and Reliability, 2023, vol. 237, issue 1, 210-227

Abstract: In this paper, a system consisting of three states: perfect functioning , partial functioning , and down is considered. The system is assumed to be composed of several non-identical groups of binary components. The reliability of the system states under various assumptions on the component lifetimes is investigated. For this purpose, first, a new concept of bivariate survival signature (BSS) is introduced. Then, under the assumption that the component lifetimes of each type are exchangeable dependent, representations for the joint reliability function of the state lifetimes are obtained based on the notion of BSS. In the particular case, three-state systems composed of two types of different modules such as general-series (parallel) systems and systems with component-wise redundancy are investigated. Several examples are presented to illustrate the theoretical results.

Keywords: Bivariate signature; survival signature; dependence; exchangeable; modules (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:237:y:2023:i:1:p:210-227

DOI: 10.1177/1748006X211069708

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