On steady and time-dependent reliability measures of multi-state systems under maintenance by Lz-transform

Vaibhav Bisht, Soni Bisht and S.B. Singh

Reliability Engineering and System Safety, 2025, vol. 264, issue PB

Abstract: This study analyzes a weighted K-out-of-n system using the Lz-Transform approach under a novel maintenance strategy, deriving dynamic reliability measures and proposing, for the first time, an algorithm for calculating steady-state availability. The strategy involves repairing failed components at an exponential rate α, transitioning them to the best-performing state, followed by degradation at rate β. A real-world case study of a warship's power system validates the approach, with dynamic reliability indices computed and compared to prior results, demonstrating the method's effectiveness. The analysis shows that reliability and availability depend on the system's minimum performance level (K). Initially, both metrics are perfect, but they decline over time. Systems with higher K values exhibit resilience, maintaining near-perfect reliability and availability under demanding conditions, while systems with lower K values experience significant declines. Availability remains slightly higher than reliability, reflecting the system's operational readiness. Additionally, the sensitivity of reliability to failure rates is examined, revealing how changes in failure rates impact system performance. The findings highlight the potential to enhance reliability and availability through the proposed maintenance strategy.

Keywords: Lz-transform; Dynamic reliability; Availability; Sensitivity; Weighted k-out-of-n system (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:264:y:2025:i:pb:s0951832025006167

DOI: 10.1016/j.ress.2025.111416

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