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Modeling and analysis of weighted-k-out-of-n: G system consisting of two different types of components

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  • Serkan Eryilmaz
  • Kadir Sarikaya

Abstract

This article is concerned with the reliability analysis of a weighted- k -out-of- n :G system consisting of two types of components. The system is assumed to have n components which are classified into two groups with respect to their weight and reliability, and it is assumed to operate if the total weight of all working components exceeds a prespecified threshold k . The reliability properties of such a system are studied. The optimal values of the number of components in each group are also determined under a minimum required reliability by minimizing the total acquisition cost.

Suggested Citation

  • 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.
    • Handle: RePEc:sae:risrel:v:228:y:2014:i:3:p:265-271
    DOI: 10.1177/1748006X13515647
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    References listed on IDEAS

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    1. Hong, J. S. & Koo, H. Y. & Lie, C. H., 2002. "Joint reliability importance of k-out-of-n systems," European Journal of Operational Research, Elsevier, vol. 142(3), pages 539-547, November.
    2. G.Y. Tütüncü & S. Eryilmaz, 2009. "Reliability evaluation of linear consecutive-weighted-k-out-of-n : F System," Post-Print hal-00569519, HAL.
    3. 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.
    4. 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.
    5. Serkan Eryilmaz & G. Yazgi Tutuncu, 2009. "RELIABILITY EVALUATION OF LINEAR CONSECUTIVE-WEIGHTED-k-OUT-OF-n:F SYSTEM," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(06), pages 805-816.
    6. Samaniego, Francisco J. & Shaked, Moshe, 2008. "Systems with weighted components," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 815-823, April.
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    Cited by:

    1. 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.
    2. 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.
    3. Xiaogang Song & Zhengjun Zhai & Yangming Guo & Peican Zhu & Jie Han, 2017. "Approximate Analysis of Multi-State Weighted k -Out-of- n Systems Applied to Transmission Lines," Energies, MDPI, vol. 10(11), pages 1-16, October.

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