2018
DOI: 10.1177/1748006x18758798
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Reliability modeling for systems degrading in K cyclical regimes based on gamma processes

Abstract: Regime switching models represent an important research direction in reliability engineering and degradation modeling. In practice, complex engineering systems typically operate under variable environmental conditions or mission requirements, each having distinct influence of system degradation. In this article, we study a system deteriorating in K cyclical regimes, where the degradation behavior of the system during each regime is governed by a distinct gamma process. We first derive the cumulative distributi… Show more

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Cited by 6 publications
(4 citation statements)
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“…It includes the Wiener process, Gamma process and Inverse Gaussian (IG) process. [26][27][28][29][30] Note that the Wiener process is the most flexible process, which is widely used in ADT modeling and prediction. Liu and Wang 31,32 proposed a degradation modeling and reliability estimation method based on the Wiener process.…”
Section: Introductionmentioning
confidence: 99%
“…It includes the Wiener process, Gamma process and Inverse Gaussian (IG) process. [26][27][28][29][30] Note that the Wiener process is the most flexible process, which is widely used in ADT modeling and prediction. Liu and Wang 31,32 proposed a degradation modeling and reliability estimation method based on the Wiener process.…”
Section: Introductionmentioning
confidence: 99%
“…To derive the probabilistic indices of the reliability models based on practical engineering cases, existing research has put forward various methodologies of reliability analysis, including universal generating function technique 29,30 and stochastic process models [31][32][33] and so on. Owing to its high efficiency and effectiveness in reliability analyses, a multi-stage FMCIA is formulated for the reliability assessment of the proposed shock model.…”
Section: Introductionmentioning
confidence: 99%
“…1,2 For degradation analysis, the general path model, Wiener process model, Gamma process model, inverse Gaussian (IG) process model have been widely used. [3][4][5][6][7] Specially, the IG processes model has been widely used in modeling performance degradation of a mechanical product, which is often monotonically increasing and affected by complex working conditions. The life-stress relationship may be a physics-based model such as Arrhenius model for temperature, Eyring model for temperature and humidity, and Blattau model for temperature cycling, 3 or a statistics-based model such as a log-linear relationship.…”
Section: Introductionmentioning
confidence: 99%