A generalized reliability analysis framework for dependent competing failure processes with dynamic-zoned shocks

Zhuoqian Chen

Reliability Engineering and System Safety, 2025, vol. 262, issue C

Abstract: The increasing integration of intelligent systems and harsh operational environments has led to complex interactions between random shocks and natural degradation, making it critical to capture the dynamic reliability behavior of such systems. Traditional reliability models typically focus on failure probabilities or failure rates, lacking the ability to describe the continuous evolution of system states. To address this limitation, this paper proposes a generalized reliability analysis framework for Dependent Competing Failure Processes with Dynamic-Zoned Shocks (DCFP-DS), with a particular focus on the evolution of probability density functions (PDFs). First, a novel modeling approach is introduced by defining dynamic-zoned shocks, which systematically characterize the bidirectional dependency between degradation and shocks. The reliability model is then formulated using Piecewise-Deterministic Markov Processes (PDMPs) to unify continuous degradation and discrete shock events. To analyze the probabilistic dynamics, stochastic semigroup theory is employed to derive the Probability Density Evolution Equation (PDEE), providing a rigorous operator-theoretic foundation for modeling state evolution. For solving the resulting PDEEs efficiently, the Physics-Informed Neural Network (PINN) method is incorporated as a mesh-free computational scheme. Finally, the proposed framework is applied to a micro-electro-mechanical system (MEMS) case study. The results demonstrate the framework’s capability in capturing the state evolution and improving the accuracy and interpretability of reliability analysis under complex failure mechanisms.

Keywords: Reliability; Random shocks; Competing failures; Piecewise-deterministic Markov processes; Stochastic semigroup (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0951832025003400
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:262:y:2025:i:c:s0951832025003400

DOI: 10.1016/j.ress.2025.111139

Access Statistics for this article

Reliability Engineering and System Safety is currently edited by Carlos Guedes Soares

More articles in Reliability Engineering and System Safety from Elsevier
Bibliographic data for series maintained by Catherine Liu ().