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Modeling multivariate degradation processes with time-variant covariates and imperfect maintenance effects
Applied Stochastic Models in Business and Industry ( IF 1.4 ) Pub Date : 2020-12-10 , DOI: 10.1002/asmb.2600
Xiaolin Wang 1 , Olivier Gaudoin 2 , Laurent Doyen 2 , Christophe Bérenguer 3 , Min Xie 4
Affiliation  

This article proposes two types of degradation models that are suitable for describing multivariate degrading systems subject to time-variant covariates and imperfect maintenance activities. A multivariate Wiener process is constructed as a baseline model, on top of which two types of models are developed to meaningfully characterize the time-variant covariates and imperfect maintenance effects. The underlying difference between the two models lies in the way of capturing the influences of covariates and maintenance: The first model reflects these impacts in the degradation rates/paths directly, whereas the second one describes the impacts by modifying the time scales governing the degradation processes. In each model, two particular imperfect maintenance models are presented, which differ in the extent of reduction in degradation level or virtual age. The two degradation models are then compared in certain special cases. The proposed multivariate degradation models pertain to complex industrial systems whose health deterioration can be characterized by multiple performance characteristics and can be altered or affected by maintenance activities and operating/environmental conditions.

中文翻译:

用时变协变量和不完美的维护效果对多元退化过程进行建模

本文提出了两种类型的退化模型,适用于描述受时变协变量和不完善维护活动影响的多元退化系统。多元维纳过程被构建为基线模型,在此基础上开发了两种类型的模型来有意义地表征时变协变量和不完美的维护效果。两个模型之间的根本区别在于捕获协变量和维护影响的方式:第一个模型直接反映退化速率/路径中的这些影响,而第二个模型通过修改控制退化过程的时间尺度来描述影响. 在每个模型中,都提出了两个特定的不完善维护模型,它们在退化水平或虚拟年龄的减少程度方面有所不同。然后在某些特殊情况下比较这两种退化模型。所提出的多元退化模型适用于复杂的工业系统,其健康恶化可以通过多种性能特征来表征,并且可以被维护活动和操作/环境条件改变或影响。
更新日期:2020-12-10
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