Research on Spare Part Activation Strategy and Reliability Index Calculation of Cold Standby Voting Systems Under Weibull Distribution

This study investigates the impact of standby activation strategies on system reliability. The results show that a delayed activation strategy effectively improves system reliability. Additionally, to tackle the difficulty of deriving analytical solutions for reliability metrics under the Weibull distribution, a non-homogeneous Markov model based on the delayed activation strategy is introduced. The system’s residual life is modeled computationally using the state transition method. The numerical results suggest that the proposed method aligns closely with Monte Carlo simulations. It significantly improves computational efficiency while maintaining high accuracy, thus confirming its effectiveness.

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Publication Details

Journal
Mathematics
Published
2026-04-30
DOI
https://doi.org/10.3390/math14091533
Primary Topic
Reliability and Maintenance Optimization
Type
article
Field-Weighted Citation Impact
0.00
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article

Research on Spare Part Activation Strategy and Reliability Index Calculation of Cold Standby Voting Systems Under Weibull Distribution

Jun Wu, Longlong Liu, Xiaochuan Ai, Ziwen Yang
Mathematics
Reliability and Maintenance Optimization
article

Research on Spare Part Activation Strategy and Reliability Index Calculation of Cold Standby Voting Systems Under Weibull Distribution

Jun Wu, Longlong Liu, Xiaochuan Ai, Ziwen Yang
article en

Abstract

This study investigates the impact of standby activation strategies on system reliability. The results show that a delayed activation strategy effectively improves system reliability. Additionally, to tackle the difficulty of deriving analytical solutions for reliability metrics under the Weibull distribution, a non-homogeneous Markov model based on the delayed activation strategy is introduced. The system’s residual life is modeled computationally using the state transition method. The numerical results suggest that the proposed method aligns closely with Monte Carlo simulations. It significantly improves computational efficiency while maintaining high accuracy, thus confirming its effectiveness.

MathematicsVol. 14(9)
Naval University of Engineering (CN)
Openalex Percentile: Top 7%
Reliability and Maintenance Optimization
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