A study of the Inverse Gaussian Process with hazard rate functions-based
drifts applied to degradation modelling

Rodríguez‐Picón, Luis Alberto; Méndez‐González, Luis Carlos; Pérez-Olguín, Iván JC; Hernández-Hernández, Jesús Israel

doi:10.17531/ein.2022.3.20

Cited by 2 publications

(1 citation statement)

References 39 publications

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“…Several studies have investigated the relationship between mass wear of brake pads and brake process characteristics, and the wear of brake pads has been studied scientifically by Sawczuk W [18] et al An HMCB network combining MSCN and BLSM is proposed by Xue Bin [23] et al to predict RUL. To describe the drift of degenerate trajectory, Rodriguez-Picon LA [16] et al integrated several hazard rate functions in the inverse Gaussian process. Based on the information criterion, two examples of the best-fitting model are selected.…”

Section: Related Workmentioning

confidence: 99%

Camera-based PHM method in rotating machinery equipment micro-action scenarios

An¹,

liu²,

Hao³

et al. 2023

Eksploatacja i Niezawodność – Maintenance and Reliability

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The health operation of rotating machinery guarantees safety of the project. To ensure a good operating environment, current subway equipment inspections frequency is high, resulting in a waste of resources. Small abnormal changes in mechanical equipment will also contribute to the development of mechanical component defects, which will ultimately lead to the failure of the equipment. Therefore, mechanical equipment defects should be detected and diagnosed as soon as possible. Through the use of graphic processing and deep learning, this paper proposes Rmcad Framework with three aspects: condition monitoring, anomaly detection, defect early warning. Using a network algorithm, this paper proposes an improved model that has the characteristics of two-stream and multi-loss functions, which improves the accuracy of detection. Additionally, a defect warning method is constructed to improve the perception ability of equipment before failure occurs and reduce the frequency of frequent maintenance by detecting anomalies according to the degree of opening.

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Section: Related Workmentioning

confidence: 99%

Camera-based PHM method in rotating machinery equipment micro-action scenarios

An¹,

liu²,

Hao³

et al. 2023

Eksploatacja i Niezawodność – Maintenance and Reliability

View full text Add to dashboard Cite

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The Wiener Process with a Random Non-Monotone Hazard Rate-Based Drift

Rodríguez-Picón,

Méndez-González,

Pérez-Domínguez

et al. 2024

Mathematics

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Several variations of stochastic processes have been studied in the literature to obtain reliability estimations of products and systems from degradation data. As the degradation trajectories may have different degradation rates, it is necessary to consider alternatives to characterize their individual behavior. Some stochastic processes have a constant drift parameter, which defines the mean rate of the degradation process. However, for some cases, the mean rate must not be considered as constant, which means that the rate varies in the different stages of the degradation process. This poses an opportunity to study alternative strategies that allow to model this variation in the drift. For this, we consider the Hjorth rate, which is a failure rate that can define different shapes depending on the values of its parameters. In this paper, the integration of this hazard rate with the Wiener process is studied to individually identify the degradation rate of multiple degradation trajectories. Random effects are considered in the model to estimate a parameter of the Hjorth rate for every degradation trajectory, which allows us to identify the type of rate. The reliability functions of the proposed model is obtained through numerical integration as the function results in a complex form. The proposed model is illustrated in two case studies based on a crack propagation and infrared LED datasets. It is found that the proposed approach has better performance for the reliability estimation of products based on information criteria.

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A study of the Inverse Gaussian Process with hazard rate functions-based drifts applied to degradation modelling

Cited by 2 publications

References 39 publications

Camera-based PHM method in rotating machinery equipment micro-action scenarios

Camera-based PHM method in rotating machinery equipment micro-action scenarios

The Wiener Process with a Random Non-Monotone Hazard Rate-Based Drift

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