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Reliability Modeling and Optimization of Circular Multi-State Sliding Time Window System with Sequential Demands

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  • Wang, Wei
  • Fang, Chao
  • Wang, Yan
  • Li, Jin

Abstract

This paper proposes a new model of circular multi-state sliding time window system with sequential demands (named CMSTWS-SD). This model is an extension of the multi-state sliding window systems with considering temporal window width defined by the required completion time. For the proposed model, the system contains n multi-state elements (MEs) arranged in circular structure, and any ME can be designated as the starting point for completing the pre-specified sequential tasks. The system function depends on its capability of completing the sequential tasks within the required mission time from any possible starting points. The reliability model of the CMSTWS-SD is formulated by investigating the performance assignment schemes of each elements group starting on different MEs and adopting the extended universal generating function (UGF) technique. We suggest an approach of states aggregation to reduce the computational burden caused by the raising number of system states. Furthermore, we develop a dynamic programming algorithm for determining the optimal performance assignment scheme with minimum completion time. Since the sequence of MEs strongly affects the system reliability of considered CMSTWS-SD, we further study the optimal element sequencing problem. Numerical experiments of the system reliability evaluation and the element sequencing optimization are conducted for illustration.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:225:y:2022:i:c:s0951832022002587
    DOI: 10.1016/j.ress.2022.108616
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    References listed on IDEAS

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    1. 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).
    2. Hosseini, Seyedmohsen & Barker, Kash & Ramirez-Marquez, Jose E., 2016. "A review of definitions and measures of system resilience," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 47-61.
    3. 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).
    4. 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.
    5. 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.
    6. Levitin, Gregory & Ben-Haim, Hanoch, 2011. "Consecutive sliding window systems," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1367-1374.
    7. 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.
    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. 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.
    10. Mo, Yuchang & Xing, Liudong & Zhang, Lejun & Cai, Shaobin, 2020. "Performability analysis of multi-state sliding window systems," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    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. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Xiao, Hui & Zhang, Yiyun & Xiang, Yisha & Peng, Rui, 2020. "Optimal design of a linear sliding window system with consideration of performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    17. 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).
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