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Optimal design of a linear sliding window system with consideration of performance sharing

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  • Xiao, Hui
  • Zhang, Yiyun
  • Xiang, Yisha
  • Peng, Rui

Abstract

Existing research on the linear sliding window system (SWS) has focused on modeling and extending to different system structures. Little research has devoted to analyzing the performance redistribution internally. This research considers an SWS with a common bus such that the performance can be redistributed among system elements. The reliability model of an SWS with a common bus is built with consideration of performance sharing. We extend the universal generating function technique to represent the states of the system, and formulate an optimization problem to determine the optimal performance sharing policy. We further suggest a reliability evaluation algorithm based on the representation function of the system states and the optimal performance sharing policy. Optimal allocation of the system elements is also considered in this work. Numerical studies show that the system reliability can be improved by considering a common bus performance sharing. The optimal allocation of system elements can also increase the system reliability without incurring extra costs.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:198:y:2020:i:c:s0951832019315108
    DOI: 10.1016/j.ress.2020.106900
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    References listed on IDEAS

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    Cited by:

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    3. Jia, Heping & Liu, Dunnan & Li, Yanbin & Ding, Yi & Liu, Mingguang & Peng, Rui, 2020. "Reliability evaluation of power systems with multi-state warm standby and multi-state performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
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    5. Cheng, Chen & Yang, Jun & Li, Lei, 2021. "Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state phased mission system with common bus performance sharing subjected to common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    6. Ding, Yi & Hu, Yishuang & Li, Daqing, 2021. "Redundancy Optimization for Multi-Performance Multi-State Series-Parallel Systems Considering Reliability Requirements," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    7. Tian, Tianzi & Yang, Jun & Li, Lei & Wang, Ning, 2023. "Reliability assessment of performance-based balanced systems with rebalancing mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    8. Wang, Dan & Si, Shubin & Cai, Zhiqiang & Zhao, Jiangbin, 2021. "Reliability optimization of linear consecutive-k-out-of-n: F systems driven by reconfigurable importance," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    9. Jia, Heping & Peng, Rui & Yang, Li & Wu, Tianyi & Liu, Dunnan & Li, Yanbin, 2022. "Reliability evaluation of demand-based warm standby systems with capacity storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    10. Xiao, Hui & Cao, Minhao, 2020. "Balancing the demand and supply of a power grid system via reliability modeling and maintenance optimization," Energy, Elsevier, vol. 210(C).
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    12. 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.
    13. Ma, Ye & Chi, Yuanying & Wu, Di & Peng, Rui & Wu, Shaomin, 2021. "Reliability of integrated electricity and gas supply system with performance substitution and sharing mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    14. Hui Xiao & Kunxiang Yi & Gang Kou & Liudong Xing, 2020. "Reliability of a two‐dimensional demand‐based networked system with multistate components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 453-468, September.
    15. Wu, Congshan & Pan, Rong & Zhao, Xian & Wang, Xiaoyue, 2024. "Designing preventive maintenance for multi-state systems with performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    16. Azhdari, Armaghan & Ardakan, Mostafa Abouei, 2022. "Reliability optimization of multi-state networks in a star configuration with bi-level performance sharing mechanism and transmission losses," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    17. 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).
    18. 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).
    19. 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).
    20. Gu, Liudong & Wang, Guanjun & Zhou, Yifan & Peng, Rui, 2024. "Reliability optimization of multi-state systems with two performance sharing groups," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    21. 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).
    22. Gu, Liudong & Wang, Guanjun & Zhou, Yifan, 2024. "Optimal allocation of multi-state performance sharing systems with multiple common buses," Reliability Engineering and System Safety, Elsevier, vol. 247(C).
    23. 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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