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Generalized integrated importance measure for system performance evaluation: application to a propeller plane system

Dui, Hongyan, Chen, Liwen, Wu, Shaomin (2017) Generalized integrated importance measure for system performance evaluation: application to a propeller plane system. Maintenance and Reliability, 19 (2). pp. 279-286. ISSN 1507-2711. (doi:10.17531/ein.2017.2.16) (KAR id:60549)

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http://dx.doi.org/10.17531/ein.2017.2.16

Abstract

The integrated importance measure (IIM) evaluates the rate of system performance change due to a component changing from one state to another. The IIM simply considers the scenarios where the transition rate of a component from one state to another is constant. This may contradict the assumption of the degradation, based on which system performance is degrading and therefore the transition rate may be increasing over time. The Weibull distribution describes the life of a component, which has been used in many different engineering applications to model complex data sets. This paper extends the IIM to a new importance measure that considers the scenarios where the transition rate of a component degrading from one state to another is a time-dependent function under the Weibull distribution. It considers the conditional probability distribution of a component sojourning at a state is the Weibull distribution, given the next state that component will jump to. The research on the new importance measure can identify the most important component during three different time periods of the system lifetime, which is corresponding to the characteristics of Weibull distributions. For illustration, the paper then derives some probabilistic properties and applies the extended importance measure to a real-world example (i.e., a propeller plane system).

Item Type: Article
DOI/Identification number: 10.17531/ein.2017.2.16
Uncontrolled keywords: system performance, importance measure, Weibull distribution, transition rate
Subjects: H Social Sciences > HA Statistics > HA33 Management Science
Divisions: Divisions > Kent Business School - Division > Kent Business School (do not use)
Depositing User: Shaomin Wu
Date Deposited: 26 Feb 2017 20:43 UTC
Last Modified: 16 Feb 2021 13:43 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/60549 (The current URI for this page, for reference purposes)
Wu, Shaomin: https://orcid.org/0000-0001-9786-3213
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