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Reliability analysis of circular multi-state sliding window system with sequential demands

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  • Wang, Wei
  • Fu, Yongnian
  • Si, Peng
  • Lin, Mingqiang

Abstract

This paper proposes a new model of circular multi-state sliding window system with sequential demands. In this model the system consists of n mutually independent multi-state elements which are arranged along a circular path and fails if any r consecutive multi-state elements within the circle cannot meet the pre-determined sequential demands W. To evaluate the reliability of the proposed system, an algorithm based on an extended universal moment generating function is suggested and a method of reducing computational complexity is also provided. The element sequence strongly affects the reliability of the proposed circular multi-state sliding window system, therefore, the optimal element sequencing problem is formulated for the system and solved by using a genetic algorithm. Both analytical and numerical examples of evaluating system reliability are presented to illustrate the proposed model and the suggested algorithm.

Suggested Citation

  • Wang, Wei & Fu, Yongnian & Si, Peng & Lin, Mingqiang, 2020. "Reliability analysis of circular multi-state sliding window system with sequential demands," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:reensy:v:198:y:2020:i:c:s0951832019309731
    DOI: 10.1016/j.ress.2020.106882
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    References listed on IDEAS

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    1. Xiao, Hui & Shi, Daimin & Ding, Yi & Peng, Rui, 2016. "Optimal loading and protection of multi-state systems considering performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 88-95.
    2. Xiang, Yanping & Levitin, Gregory, 2012. "Combined m-consecutive and k-out-of-n sliding window systems," European Journal of Operational Research, Elsevier, vol. 219(1), pages 105-113.
    3. Levitin, Gregory, 2005. "Uneven allocation of elements in linear multi-state sliding window system," European Journal of Operational Research, Elsevier, vol. 163(2), pages 418-433, June.
    4. Levitin, Gregory & Ben-Haim, Hanoch, 2011. "Consecutive sliding window systems," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1367-1374.
    5. Lu, Shaoqi & Shi, Daimin & Xiao, Hui, 2019. "Reliability of sliding window systems with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 366-376.
    6. Enrico Zio, 2013. "Monte Carlo Simulation: The Method," Springer Series in Reliability Engineering, in: The Monte Carlo Simulation Method for System Reliability and Risk Analysis, edition 127, chapter 0, pages 19-58, Springer.
    7. Enrico Zio, 2013. "The Monte Carlo Simulation Method for System Reliability and Risk Analysis," Springer Series in Reliability Engineering, Springer, edition 127, number 978-1-4471-4588-2, February.
    8. Hui Xiao & Rui Peng & Gregory Levitin, 2016. "Optimal replacement and allocation of multi‐state elements in k‐within‐m‐from‐r/n sliding window systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(2), pages 184-198, March.
    9. Enrico Zio, 2013. "System Reliability and Risk Analysis by Monte Carlo Simulation," Springer Series in Reliability Engineering, in: The Monte Carlo Simulation Method for System Reliability and Risk Analysis, edition 127, chapter 0, pages 59-81, Springer.
    10. Yun, Won-Young & Kim, Gui-Rae & Yamamoto, Hisashi, 2007. "Economic design of a circular consecutive-k-out-of-n:F system with (k-1)-step Markov dependence," Reliability Engineering and System Safety, Elsevier, vol. 92(4), pages 464-478.
    11. Endharta, Alfonsus Julanto & Yun, Won Young & Ko, Young Myoung, 2018. "Reliability evaluation of circular k-out-of-n: G balanced systems through minimal path sets," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 226-236.
    12. Lin, Yan-Hui & Li, Yan-Fu & Zio, Enrico, 2018. "A comparison between Monte Carlo simulation and finite-volume scheme for reliability assessment of multi-state physics systems," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 1-11.
    13. Gregory Levitin, 2005. "Reliability of linear multistate multiple sliding window systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(3), pages 212-223, April.
    14. Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Huang, Hong-Zong, 2019. "Dynamic demand satisfaction probability of consecutive sliding window systems with warm standby components," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 397-405.
    15. Enrico Zio, 2013. "System Reliability and Risk Analysis," Springer Series in Reliability Engineering, in: The Monte Carlo Simulation Method for System Reliability and Risk Analysis, edition 127, chapter 0, pages 7-17, Springer.
    16. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, February.
    17. Konak, Abdullah & Kulturel-Konak, Sadan & Levitin, Gregory, 2012. "Multi-objective optimization of linear multi-state multiple sliding window system," Reliability Engineering and System Safety, Elsevier, vol. 98(1), pages 24-34.
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    Cited by:

    1. Xiao, Hui & Yi, Kunxiang & Liu, Haitao & Kou, Gang, 2021. "Reliability modeling and optimization of a two-dimensional sliding window system," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    2. Yin, Juan & Cui, Lirong, 2021. "Reliability for consecutive-k-out-of-n: F systems with shared components between adjacent subsystems," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    3. Wang, Wei & Fang, Chao & Liu, Shan & Xiang, Yisha, 2021. "Reliability analysis and optimization of multi-state sliding window system with sequential demands and time constraints," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    4. Cao, Minhao & Guo, Jianjun & Xiao, Hui & Wu, Liang, 2022. "Reliability analysis and optimal generator allocation and protection strategy of a non-repairable power grid system," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    5. Wang, Wei & Fang, Chao & Wang, Yan & Li, Jin, 2022. "Reliability Modeling and Optimization of Circular Multi-State Sliding Time Window System with Sequential Demands," Reliability Engineering and System Safety, Elsevier, vol. 225(C).

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