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Reliability approximation of k-out-of-n pairs: G balanced systems with spatially distributed units

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  • Dingguo Hua
  • Elsayed A. Elsayed

Abstract

Various industries are finding increasing uses for k-out-of-n pairs: G balanced systems, an example being an unmanned aerial vehicle. The reliability estimation for such systems is difficult to obtain, due to the complexity of the problem: the operation of the systems depends on not only the number of operating pairs but also their spatial configuration. The computation becomes time-consuming when n is large and k is small, since the number of successful events increases significantly. In this article, we develop a Monte Carlo simulation-based reliability approximation for k-out-of-n pairs: G balanced systems for different scenarios. Numerical examples show that the approximation is accurate and computationally efficient.

Suggested Citation

  • Dingguo Hua & Elsayed A. Elsayed, 2018. "Reliability approximation of k-out-of-n pairs: G balanced systems with spatially distributed units," IISE Transactions, Taylor & Francis Journals, vol. 50(7), pages 616-626, July.
    • Handle: RePEc:taf:uiiexx:v:50:y:2018:i:7:p:616-626
    DOI: 10.1080/24725854.2018.1431742
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    Cited by:

    1. Wang, Xiaoyue & Ning, Ru & Zhao, Xian & Wu, Congshan, 2023. "Reliability assessments for two types of balanced systems with multi-state protective devices," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    2. Wang, Jingjing & Miao, Yonghao, 2021. "Optimal preventive maintenance policy of the balanced system under the semi-Markov model," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    3. Wang, Jingjing & Qiu, Qingan & Wang, Huanhuan & Lin, Cong, 2021. "Optimal condition-based preventive maintenance policy for balanced systems," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    4. Wang, Xiaoyue & Ning, Ru & Zhao, Xian & Zhou, Jian, 2022. "Reliability analyses of k-out-of-n: F capability-balanced systems in a multi-source shock environment," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    5. Fang, Chen & Cui, Lirong, 2021. "Balanced Systems by Considering Multi-state Competing Risks Under Degradation Processes," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    6. Wang, Xiaoyue & Zhao, Xian & Wang, Siqi & Sun, Leping, 2020. "Reliability and maintenance for performance-balanced systems operating in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    7. Fang, Chen & Cui, Lirong, 2021. "Reliability evaluation for balanced systems with auto-balancing mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    8. Yanbo Song & Xiaoyue Wang, 2022. "Reliability Analysis of the Multi-State k -out-of- n : F Systems with Multiple Operation Mechanisms," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    9. Yangyao, Shi & Xinchen, Zhuang & Tianxiang, Yu & Zijian, Zhang, 2023. "Multi-state balance system reliability research considering load influence," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    10. Wu, Bei & Cui, Lirong & Fang, Chen, 2020. "Multi-state balanced systems with multiple failure criteria," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    11. Zhang, Hengjie & Dong, Yucheng & Xiao, Jing & Chiclana, Francisco & Herrera-Viedma, Enrique, 2021. "Consensus and opinion evolution-based failure mode and effect analysis approach for reliability management in social network and uncertainty contexts," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    12. Wang, Siqi & Zhao, Xian & Wu, Congshan & Wang, Xiaoyue, 2023. "Joint optimization of multi-stage component reassignment and preventive maintenance for balanced systems considering imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    13. Zhao, Xian & Wang, Siqi & Wang, Xiaoyue & Fan, Yu, 2020. "Multi-state balanced systems in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    14. Wu, Congshan & Zhao, Xian & Qiu, Qingan & Sun, Jinglei, 2021. "Optimal mission abort policy for k-out-of-n: F balanced systems," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    15. Wu, Congshan & Zhao, Xian & Wang, Xiaoyue & Wang, Siqi, 2021. "Reliability analysis of performance-based balanced systems with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    16. Wu, Congshan & Zhao, Xian & Wang, Siqi & Song, Yanbo, 2022. "Reliability analysis of consecutive-k-out-of-r-from-n subsystems: F balanced systems with load sharing," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    17. Wang, Jingjing & Zheng, Rui & Lin, Tianran, 2022. "Maintenance modeling for balanced systems subject to two competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    18. Wang, Siqi & Zhao, Xian & Tian, Zhigang & Zuo, Ming J., 2021. "Optimum component reassignment for balanced systems with multi-state components operating in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 210(C).

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