Modeling left-truncated degradation data using random drift-diffusion Wiener processes

Yan, Bingxin; Wang, Han; Ma, Xiaobing

doi:10.1080/16843703.2023.2187011

Cited by 7 publications

(1 citation statement)

References 44 publications

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“…Zheng et al [50] introduced an optimal acceptance sampling plan design for degraded products subjected to a Wiener process, optimizing test time and sample size while simplifying acceptance testing with the average degradation rate index. Yan et al [51] offered a Wiener process model for left-truncated degradation data, incorporating random drift diffusion effects for precise RUL prediction and validated in practical applications. Tang et al [52] suggested an unbiased parameter estimation method for Wiener-process-based degradation models, improving RUL prediction accuracy.…”

Section: Introductionmentioning

confidence: 99%

Bayesian Fusion of Degradation and Failure Time Data for Reliability Assessment of Industrial Equipment Considering Individual Differences

Fu,

Zhang,

et al. 2024

Processes

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In the field of industrial equipment reliability assessment, dependency on either degradation or failure time data is common. However, practical applications often reveal that single-type reliability data for certain industrial equipment are insufficient for a comprehensive assessment. This paper introduces a Bayesian-fusion-based methodology to enhance the reliability assessment of industrial equipment. Operating within the hierarchical Bayesian framework, the method innovatively combines the Wiener process with available degradation and failure time data. It further integrates a random effects model to capture individual differences among equipment units. The robustness and applicability of this proposed method are substantiated through an in-depth case study analysis.

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Section: Introductionmentioning

confidence: 99%

Bayesian Fusion of Degradation and Failure Time Data for Reliability Assessment of Industrial Equipment Considering Individual Differences

Fu,

Zhang,

et al. 2024

Processes

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A hybrid reliability assessment method based on health index construction and reliability modeling for rolling bearing

Yang,

Ma,

Liu

et al. 2024

Quality & Reliability Eng

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The assessment of rolling bearing reliability is vital for ensuring mechanical operational safety and minimizing maintenance costs. Due to the difficulty in obtaining data on the performance degradation and failure time of rolling bearings, traditional methods for reliability assessment are challenged. This paper introduces a novel hybrid method for the reliability assessment of rolling bearings, combining the convolutional neural network (CNN)‐convolutional block attention module (CBAM)‐ bidirectional long short‐term memory (BiLSTM) network with the Wiener process. The approach comprises three distinct stages: Initially, it involves acquiring two‐dimensional time‐frequency representations of bearings at various operational phases using Continuous Wavelet Transform. Subsequently, the CNN‐CBAM‐BiLSTM network is employed to establish health index (HI) for the bearings and to facilitate the extraction of deep features, serving as input for the Wiener process. The final stage applies the Wiener process to evaluate the bearings’ reliability, characterizing the HI and quantifying uncertainties. The experiment is performed on bearing degradation data and the results indicate the effectiveness and superiority of the proposed hybrid method.

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Non-renewable warranty cost analysis for dependent series configuration with distinct warranty periods

Liang,

Cui,

Wang

2024

Reliability Engineering & System Safety

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Modeling left-truncated degradation data using random drift-diffusion Wiener processes

Cited by 7 publications

References 44 publications

Bayesian Fusion of Degradation and Failure Time Data for Reliability Assessment of Industrial Equipment Considering Individual Differences

Bayesian Fusion of Degradation and Failure Time Data for Reliability Assessment of Industrial Equipment Considering Individual Differences

A hybrid reliability assessment method based on health index construction and reliability modeling for rolling bearing

Non-renewable warranty cost analysis for dependent series configuration with distinct warranty periods

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