Quantification of uncertainty information in remaining useful life estimation

IF 4.4 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Applied Mathematical Modelling Pub Date : 2025-01-30 DOI:10.1016/j.apm.2025.115992
Changdong Zhao , Shihu Xiang , Songhua Hao , Feng Niu , Kui Li
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Abstract

Accurate remaining useful life prediction is crucial for prognostics and health management of products. Model uncertainty is an important factor negatively affecting prediction performance. Existing methods fail to evaluate the predictive ability of a degradation model without the actual remaining useful life, and typically require adequate degradation data or prior information. They may be unable to ensure a reliable prediction performance in practical engineering scenarios with limited degradation data and mechanism knowledge. To address these issues, a model fusion based method is proposed using the uncertainty theory. Specifically, a comprehensive model performance evaluation method is proposed by simultaneously considering complexity, fitting ability, and predictive ability. The evolution process of the comprehensive model performance index is modelled by proposing a generalized arithmetic Liu process model that can flexibly depict characteristics of an uncertain process. A model fusion method is proposed by quantifying the similarity between a candidate model and the actual degradation process based on the predictive evolution analysis of the performance index. Then, a random initial solutions based algorithm is proposed to estimate remaining useful life from the fused model. Finally, three real cases and a numerical case are utilized to demonstrate the effectiveness and versatility of the proposed method by comparing it with existing methods.
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剩余使用寿命估算中不确定信息的量化
准确的剩余使用寿命预测对于产品的预测和健康管理至关重要。模型的不确定性是影响预测效果的重要因素。在没有实际剩余使用寿命的情况下,现有方法无法评估退化模型的预测能力,而且通常需要充分的退化数据或先验信息。在实际工程场景中,由于退化数据和机理知识有限,它们可能无法确保可靠的预测性能。为了解决这些问题,利用不确定性理论提出了一种基于模型融合的方法。具体而言,提出了一种同时考虑复杂性、拟合能力和预测能力的综合模型性能评价方法。提出了一种能够灵活描述不确定过程特征的广义算法刘氏过程模型,对综合模型性能指标的演化过程进行了建模。基于性能指标的预测演化分析,提出了一种模型融合方法,量化候选模型与实际退化过程的相似度。然后,提出了一种基于随机初始解的融合模型剩余使用寿命估计算法。最后,通过三个实际案例和一个数值案例的比较,验证了所提方法的有效性和通用性。
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来源期刊
Applied Mathematical Modelling
Applied Mathematical Modelling 数学-工程:综合
CiteScore
9.80
自引率
8.00%
发文量
508
审稿时长
43 days
期刊介绍: Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.
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