Updating Most Frequently Used Degradation Models Under the Influence of Random Shocks

Abstract

In modern maintenance planning, leveraging advanced capabilities necessitates accurate modeling of system degradation under catastrophic shocks with escalating effects. Reliable estimation of failure time is crucial for optimizing maintenance strategies. This study aims to analyze the impact of exponential and Weibull catastrophic shocks on the most common degradation models Wiener, Gamma, and Inverse Gaussian-without requiring model reconstruction. A rigorous mathematical analysis is conducted to assess the influence of these shocks on degradation patterns. The necessary conditions for applying the proposed analytical approach are outlined, ensuring its practical applicability. Furthermore, a case study is presented to validate the theoretical findings. Comparative analysis between the proposed analytical method and simulation results demonstrates no significant difference, confirming the robustness of the proposed approach. These findings contribute to enhancing predictive maintenance strategies by providing a refined understanding of catastrophic shock effects on degradation processes.