Degradation under dynamic operating conditions: Modeling, competing processes and applications

Abstract

This paper investigates degradation modeling under dynamic conditions and its applications. Both univariate and multiple competing degradation processes are considered with individual degradation paths being described by Wiener processes. Parametric and non-parametric approaches are used to capture the effect of environmental conditions on process parameters. For competing degradation processes, we obtain the probability that a particular process reaches a pre-defined threshold, before other processes, over future time intervals. In particular, we consider the potential statistical dependence among the latent remaining lifetimes of multiple degradation processes due to unobserved future environmental factors. Two case studies, aircraft piston pump wear and US highway performance deterioration, are presented. Comprehensive comparison studies are also performed to generate some critical insights on the proposed approach. Data have been made available on GitHub.

Keywords:

• aircraft piston pump degradation
• competing risks
• degradation
• frailty
• highway pavement performance degradation
• reliability
• Wiener process

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

National Science Foundation, #1904165.

Notes on contributors

Mohammadmahdi Hajiha

Mohammadmahdi Hajiha is a Ph.D. candidate at the Department of Industrial Engineering, University of Arkansas. His e-mail address is [email protected]

Xiao Liu

Xiao Liu is an Assistant Professor at the Department of Industrial Engineering, University of Arkansas. His email address is [email protected]

Yili Hong

Yili Hong is an Associate Professor at the Department of Statistics, Virginia Tech. His e-mail address is [email protected]