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Predetermined standby mode transfers in 1-out-of-N systems with resource-constrained elements

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  • Levitin, Gregory
  • Xing, Liudong
  • Dai, Yuanshun

Abstract

It has been shown that mode transfers can effectively balance the resource consumption and restoration time of standby systems. However, the existing methods assumed unlimited resource in each element, which is not practical for many real-world systems. This work advances the state of the art by considering resource-constrained system elements, which have some maximum lifetime due to resource depletion during the mission. The optimal element standby mode transfer problem is formulated and solved, which determines the mode transfer schedule minimizing the expected mission downtime (EMD). The solution methodology encompasses a new event transition-based numerical algorithm for evaluating the EMD of the considered 1-out-of-N standby system subject to mode transfers. Through the detailed analysis of a sensor standby system, it is revealed that the EMD decreases and the scheduled warm to hot mode transfer time increases as the element's initial available resource increases; the EMD increases as the element's resource consumption or stress level during the mode transfer increases; the EMD and its fraction in the mission time increases as the mission time increases; and it is beneficial to put the element with the smallest initial available resource into operation first.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Predetermined standby mode transfers in 1-out-of-N systems with resource-constrained elements," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
  • Handle: RePEc:eee:reensy:v:229:y:2023:i:c:s0951832022004665
    DOI: 10.1016/j.ress.2022.108849
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    References listed on IDEAS

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    1. Yen, Tseng-Chang & Wang, Kuo-Hsiung, 2020. "Cost benefit analysis of four retrial systems with warm standby units and imperfect coverage," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    2. Jinting Wang & Nan Xie & Nan Yang, 2021. "Reliability analysis of a two-dissimilar-unit warm standby repairable system with priority in use," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(4), pages 792-814, February.
    3. Q. Zhai & R. Peng & L. Xing & J. Yang, 2015. "Reliability of demand‐based warm standby systems subject to fault level coverage," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(3), pages 380-393, May.
    4. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Co-residence based data theft game in cloud system with virtual machine replication and cancellation," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    5. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2021. "Joint optimal mission aborting and replacement and maintenance scheduling in dual-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    6. 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).
    7. Zhang, Tieling & Xie, Min & Horigome, Michio, 2006. "Availability and reliability of k-out-of-(M+N):G warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 91(4), pages 381-387.
    8. Hadipour, Hassan & Amiri, Maghsoud & Sharifi, Mani, 2019. "Redundancy allocation in series-parallel systems under warm standby and active components in repairable subsystems," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    9. Wu, Hui & Li, Yan-Fu & Bérenguer, Christophe, 2020. "Optimal inspection and maintenance for a repairable k-out-of-n: G warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    10. Huang, Wei & Loman, James & Song, Thomas, 2015. "A reliability model of a warm standby configuration with two identical sets of units," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 237-245.
    11. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal sequencing of elements activation in 1-out-of-n warm standby system with storage," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    12. Ardakan, Mostafa Abouei & Amini, Hanieh & Juybari, Mohammad N., 2022. "Prescheduled switching time: A new strategy for systems with standby components," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    13. Levitin, Gregory & Xing, Liudong & Haim, Hanoch Ben & Dai, Yuanshun, 2019. "Optimal structure of series system with 1-out-of-n warm standby subsystems performing operation and rescue functions," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 523-531.
    14. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Co-optimization of state dependent loading and mission abort policy in heterogeneous warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 151-158.
    15. Gregory Levitin & Liudong Xing & Yuanshun Dai, 2020. "Mission Abort Policy for Systems with Observable States of Standby Components," Risk Analysis, John Wiley & Sons, vol. 40(10), pages 1900-1912, October.
    16. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2018. "Heterogeneous 1-out-of-N warm standby systems with online checkpointing," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 127-136.
    17. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Influence of storage on mission success probability of m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    18. Wang, Chaonan & Wang, Xiaolei & Xing, Liudong & Guan, Quanlong & Yang, Chunhui & Yu, Min, 2021. "A Fast and Accurate Reliability Approximation Method for Heterogeneous Cold Standby Sparing Systems," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    19. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2018. "Heterogeneous standby systems with shocks-driven preventive replacements," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1189-1197.
    20. Marqusee, Jeffrey & Jenket, Donald, 2020. "Reliability of emergency and standby diesel generators: Impact on energy resiliency solutions," Applied Energy, Elsevier, vol. 268(C).
    21. Li, Xiang-Yu & Li, Yan-Feng & Huang, Hong-Zhong, 2020. "Redundancy allocation problem of phased-mission system with non-exponential components and mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    22. Levitin, Gregory & Xing, Liudong & Luo, Liang, 2019. "Influence of failure propagation on mission abort policy in heterogeneous warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 29-38.
    23. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2013. "Cold-standby sequencing optimization considering mission cost," Reliability Engineering and System Safety, Elsevier, vol. 118(C), pages 28-34.
    24. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2022. "Minimum cost replacement and maintenance scheduling in dual-dissimilar-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    25. Hsieh, Tsung-Jung, 2021. "Component mixing with a cold standby strategy for the redundancy allocation problem," Reliability Engineering and System Safety, Elsevier, vol. 206(C).
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    4. Shi, Rubiao & Gao, Pengfei & Su, Xufeng & Zhang, Xi & Yang, Xiaodong, 2024. "Synergizing natural resources and sustainable development: A study of industrial structure, and green innovation in Chinese region," Resources Policy, Elsevier, vol. 88(C).

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