Time-dependent reliability of (weighted) k-out-of-n systems with identical component deterioration

  • Wang C
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The performance of civil infrastructure systems is vital in supporting a community’s functionalities. Reliability assessment of these systems is a powerful approach to evaluate whether the system performance is desirably safe under the impacts of resistance degradation and non-stationary loads. A k -out-of- n system is a widely-used logic model for a system with n components, which survives (works) if at least k components work. Its special cases include a series or a parallel system. Furthermore, a weighted k -out-of- n system has components with positive integer weights and the system survives if the total weight of working components reaches the predefined threshold k . This paper proposes a method for estimating the time-dependent reliability of both ordinary and weighted k -out-of- n systems, taking into account the effects of resistance deterioration, resistance correlation and load non-stationarity, for which a mathematical solution is derived. The applicability of the proposed method is illustrated through reliability evaluation of a representative k -out-of- n system.




Wang, C. (2021). Time-dependent reliability of (weighted) k-out-of-n systems with identical component deterioration. Journal of Infrastructure Preservation and Resilience, 2(1). https://doi.org/10.1186/s43065-021-00018-1

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