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Capacity loss and residual capacity in weighted k-out-of-n:G systems

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  • Eryilmaz, Serkan

Abstract

A binary weighted-k-out-of-n:G system is a system that consists of n binary components, and functions if and only if the total weight of working components is at least k. The performance of such a system is characterized by its total weight/capacity. Therefore, the evaluation of the capacity of the system is of special importance for understanding the behavior of the system over time. This paper is concerned with capacity loss and residual capacity in binary weighted-k-out-of-n:G systems. These measures are potentially useful for the purposes of preventive action. In particular, recursive and non-recursive equations are obtained for the mean capacity loss and mean residual capacity of the binary weighted-k -out-of-n:G system while it is working at a specific time. The mean residual capacity after the failure of the system is also studied.

Suggested Citation

  • Eryilmaz, Serkan, 2015. "Capacity loss and residual capacity in weighted k-out-of-n:G systems," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 140-144.
    • Handle: RePEc:eee:reensy:v:136:y:2015:i:c:p:140-144
    DOI: 10.1016/j.ress.2014.12.008
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    References listed on IDEAS

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    1. Li, Wei & Zuo, Ming J., 2008. "Reliability evaluation of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 93(1), pages 160-167.
    2. Aboalkhair, Ahmad M. & Coolen, Frank P.A. & MacPhee, Iain M., 2013. "Nonparametric predictive reliability of series of voting systems," European Journal of Operational Research, Elsevier, vol. 226(1), pages 77-84.
    3. Samaniego, Francisco J. & Shaked, Moshe, 2008. "Systems with weighted components," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 815-823, April.
    4. Li, Wei & Zuo, Ming J., 2008. "Optimal design of multi-state weighted k-out-of-n systems based on component design," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1673-1681.
    5. Eryilmaz, Serkan, 2013. "Mean instantaneous performance of a system with weighted components that have arbitrarily distributed lifetimes," Reliability Engineering and System Safety, Elsevier, vol. 119(C), pages 290-293.
    6. Faghih-Roohi, Shahrzad & Xie, Min & Ng, Kien Ming & Yam, Richard C.M., 2014. "Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 57-62.
    7. Serkan Eryilmaz & Kadir Sarikaya, 2014. "Modeling and analysis of weighted-k-out-of-n: G system consisting of two different types of components," Journal of Risk and Reliability, , vol. 228(3), pages 265-271, June.
    8. Wang, Yong & Li, Lin & Huang, Shuhong & Chang, Qing, 2012. "Reliability and covariance estimation of weighted k-out-of-n multi-state systems," European Journal of Operational Research, Elsevier, vol. 221(1), pages 138-147.
    9. Eryilmaz, Serkan & Rıza Bozbulut, Ali, 2014. "An algorithmic approach for the dynamic reliability analysis of non-repairable multi-state weighted k-out-of-n:G system," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 61-65.
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    Cited by:

    1. Zhang, Yiying, 2018. "Optimal allocation of active redundancies in weighted k-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 135(C), pages 110-117.
    2. Eryilmaz, Serkan, 2018. "Reliability analysis of multi-state system with three-state components and its application to wind energy," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 58-63.
    3. M. Salehi & Z. Shishebor & M. Asadi, 2019. "On the reliability modeling of weighted k-out-of-n systems with randomly chosen components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(5), pages 589-605, July.
    4. Rahmani, Rabi-Allah & Izadi, Muhyiddin & Khaledi, Baha-Eldin, 2016. "Stochastic comparisons of total capacity of weighted-k-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 117(C), pages 216-220.
    5. Hajipour, Yassin & Taghipour, Sharareh, 2016. "Non-periodic inspection optimization of multi-component and k-out-of-m systems," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 228-243.
    6. Eryilmaz, Serkan & Ucum, Kaan Ayberk, 2021. "The lost capacity by the weighted k-out-of-n system upon system failure," Reliability Engineering and System Safety, Elsevier, vol. 216(C).

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