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Title: Modeling multivariate degradation processes with time-variant covariates and imperfect maintenance effects
Authors: Wang, X 
Doyen, L
Bérenguer, C
Xie, M
Issue Date: May-2020
Source: Applied stochastic models in business and industry, May/June 2021, v. 37, no. 3, p. 592-611
Abstract: 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.
Keywords: Degradation path adjustment
Imperfect maintenance
Multivariate wiener process
Piecewise constant covariates
Time scale adjustment
Publisher: John Wiley & Sons
Journal: Applied stochastic models in business and industry 
ISSN: 1524-1904
EISSN: 1526-4025
DOI: 10.1002/asmb.2600
Rights: © 2020 John Wiley & Sons, Ltd.
This is the pre-peer reviewed version of the following article: Wang, X, Gaudoin, O, Doyen, L, Bérenguer, C, Xie, M. Modeling multivariate degradation processes with time-variant covariates and imperfect maintenance effects. Appl Stochastic Models Bus Ind. 2021; 37: 592– 611 which has been published in final form at This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
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