Constructing Reliability Models for State-dependent Resilient Systems Using Continuous-time Markov Chain  
Author Yu-Cheng Chang

 

Co-Author(s) Ruey-Huei Yeh; Pei-Chen Cheng

 

Abstract The failure of most products or systems typically arises from two main aspects: internal degradation and random impacts from the external operating environment. In recent years, system resilience has gained increasing attention, as technological advancements enable many systems to recover from external shocks partially. However, resilience is still rarely integrated into reliability modeling and maintenance analysis. This paper aims to construct a reliability model incorporating internal degradation, external shocks, and resilience-based recovery mechanisms. A discrete-state continuous-time Markov chain (CTMC) is proposed to describe the system’s state transitions, where internal degradation occurs gradually and shocks cause jumps in states with state-dependent resilience. This modeling approach enables the analysis of reliability behavior over time and allows for evaluating how resilience mechanisms affect system reliability. The framework serves as a foundation for future integration with maintenance policies or cost-based decision-making in resilient system design.

 

Keywords Reliability, random shocks, resilience, continuous-time Markov chain
   
    Article #:  RQD2025-207
 

Proceedings of 30th ISSAT International Conference on Reliability & Quality in Design
August 6-8, 2025