Reliability analysis of dependent competitive failure model with uncertain parameters

Shi, Haiyan; Wei, Chun; Zhang, Zhiqiang; Liu, Baoliang; Wen, Yanqing

doi:10.1007/s00500-021-06398-6

Cited by 8 publications

(3 citation statements)

References 26 publications

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“…Series systems [13,78,81,84,[98][99][100][101], parallel systems [13,81,84,[98][99][100][101], series-parallel hybrid systems [81,[99][100][101][102], cold standby systems [99,101,[103][104][105], warm standby systems [103], k-out-of-n systems [84,100,106-109], bridge systems [85,110], general configurations and algorithms [78,81,100,110] Fault tree analysis Minimal cut set theorem [13,84], analysis algorithm [84] Importance index Uncertain system [108,111], uncertain random system [112] Belief reliability analysis of systems with degradation-shock dependency Uncertain degradation with random shock arrival time and uncertain shock size [113,114], uncertain degradation with uncertain shock [115][116][117][118], degradation-shock dependency with a change point …”

Section: Methodsmentioning

confidence: 99%

Belief Reliability: A Scientific Exploration of Reliability Engineering

Zhang,

Li,

et al. 2024

J. of Syst. Eng. Electron.

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This paper systematically introduces and reviews a scientific exploration of reliability called the belief reliability. Beginning with the origin of reliability engineering, the problems of present theories for reliability engineering are summarized as a query, a dilemma, and a puzzle. Then, through philosophical reflection, we introduce the theoretical solutions given by belief reliability theory, including scientific principles, basic equations, reliability science experiments, and mathematical measures. The basic methods and technologies of belief reliability, namely, belief reliability analysis, function-oriented belief reliability design, belief reliability evaluation, and several newly developed methods and technologies are sequentially elaborated and overviewed. Based on the above investigations, we summarize the significance of belief reliability theory and make some prospects about future research, aiming to promote the development of reliability science and engineering.

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Section: Methodsmentioning

confidence: 99%

Belief Reliability: A Scientific Exploration of Reliability Engineering

Zhang,

Li,

et al. 2024

J. of Syst. Eng. Electron.

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“…Uncertainty theory is a new mathematical theory proposed by Liu. 24 This theory is based on four basic axioms, that is, normality axiom, duality axiom, subadditivity axiom, and product axiom, and it has been successfully applied to epistemic uncertainty modeling in various fields, such as reliability and risk, 30,31 finance, 32,33 and supply chains. 34 The following briefly introduces the definitions used in this paper.…”

Section: Uncertainty Theorymentioning

confidence: 99%

Belief reliability index determination method based on group decision‐making

Gao

et al. 2023

Quality & Reliability Eng

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For newly developing systems, the determination of the reliability index is an important task in the system demonstration process that determines both the system design goal and the verification requirement. However, due to the insufficient data at the beginning of the system life cycle, the problem of epistemic uncertainty cannot be ignored. Researchers have proposed several belief reliability metrics and analysis methods to quantify the epistemic uncertainty of a system, but to the best knowledge of the authors, no relevant studies have been performed on system reliability index determination. In this paper, we propose a belief reliability index determination method based on group decision‐making. Using a similar system‐based reliability index determination method, this method comprehensively considers the demands of users and the capabilities of contractors. In addition, the Delphi method and Hadamard multiplication convex combination are combined to effectively solve the epistemic uncertainty quantification problem. The Delphi method is used to find the conflicts caused by multi‐expert scoring, and the Hadamard multiplication convex combination can integrate the scoring matrix of all experts, which makes the results more reasonable. Finally, a Low‐Earth‐orbit (LEO) satellite communication system is used to verify the effectiveness of our belief reliability index determination method.

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“…However, in the articles mentioned above, it is usually assumed that components or systems suffer from degradation or shock processes, and dependent failure processes of components are rarely considered. In practical engineering, systems commonly undergo multiple failure processes due to various internal and external factors [8][9][10][11][12][13][14][15]. For instance, a car tire fails due to internal degradation caused by wear and tear or punctured by a nail from an external impact on the road.…”

Section: Introductionmentioning

confidence: 99%

Joint optimization of condition-based maintenance policy and buffer capacity for a two-component self-repairable serial system

Meng,

Lin,

et al. 2024

Eksploatacja i Niezawodność – Maintenance and Reliability

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This paper investigates a self-repairable serial system with two components and a buffer. Competitive failure processes are considered due to the internal degradation and external shock processes of components. The system reliability is calculated based on the integration of the internal degradation process and external shock process. When one of the components deteriorates to the PM or CM thresholds, it is restored to an imperfect state under dynamic time limitations based on the previous internal degradation and external shocks. As for the other component, it needs to be repaired or not according to the reliability of the component; it needs to be shut down or not based on the buffer status and the allocation of the component in the system. The optimal initial buffer capacity setting and PM threshold at minimum cost are found by minimizing the system's total cost in a given running cycle. Finally, numerical and case studies are provided to demonstrate the feasibility and superiority of the presented model.

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Reliability analysis of dependent competitive failure model with uncertain parameters

Cited by 8 publications

References 26 publications

Belief Reliability: A Scientific Exploration of Reliability Engineering

Belief Reliability: A Scientific Exploration of Reliability Engineering

Belief reliability index determination method based on group decision‐making

Joint optimization of condition-based maintenance policy and buffer capacity for a two-component self-repairable serial system

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