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Optimal shock-driven switching strategies with elements reuse in heterogeneous warm-standby systems

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  • Levitin, Gregory
  • Finkelstein, Maxim
  • Dai, Yuanshun

Abstract

The paper considers heterogeneous 1-out-of-n warm-standby systems performing missions of a fixed duration when a failure of an operating element results in a mission failure. A system is operating in a random environment modeled by the Poisson process of shocks. Each shock can result in a failure of an operating element with probability that increases with the number of experienced shocks. Preventive replacement is used to reduce the probability of an operation failure. The standby elements experience the same shocks with a milder effect as they are partially shielded, which corresponds to a warm-standby mode. Elements after replacement can be reused again as standby elements. A new recursive algorithm for obtaining the mission success probability with reusable elements is suggested. This algorithm is used for determining the optimal sequence of replacements maximizing the mission success probability. A numerical example with detailed discussions is presented.

Suggested Citation

  • Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2021. "Optimal shock-driven switching strategies with elements reuse in heterogeneous warm-standby systems," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    • Handle: RePEc:eee:reensy:v:210:y:2021:i:c:s0951832021000788
    DOI: 10.1016/j.ress.2021.107517
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    References listed on IDEAS

    as
    1. Liu, Xinbao & Yang, Tianji & Pei, Jun & Liao, Haitao & Pohl, Edward A., 2019. "Replacement and inventory control for a multi-customer product service system with decreasing replacement costs," European Journal of Operational Research, Elsevier, vol. 273(2), pages 561-574.
    2. Jia, Heping & Ding, Yi & Peng, Rui & Liu, Hanlin & Song, Yonghua, 2020. "Reliability assessment and activation sequence optimization of non-repairable multi-state generation systems considering warm standby," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    3. Toshio Nakagawa, 2007. "Shock and Damage Models in Reliability Theory," Springer Series in Reliability Engineering, Springer, number 978-1-84628-442-7, June.
    4. Wang, Wei & Wu, Zhiying & Xiong, Junlin & Xu, Yaofeng, 2018. "Redundancy optimization of cold-standby systems under periodic inspection and maintenance," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 394-402.
    5. 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).
    6. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2021. "Optimization of cyclic preventive replacement in homogeneous warm-standby system with reusable elements exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    7. Yang, Li & Ye, Zhi-sheng & Lee, Chi-Guhn & Yang, Su-fen & Peng, Rui, 2019. "A two-phase preventive maintenance policy considering imperfect repair and postponed replacement," European Journal of Operational Research, Elsevier, vol. 274(3), pages 966-977.
    8. Fouladirad, Mitra & Paroissin, Christian & Grall, Antoine, 2018. "Sensitivity of optimal replacement policies to lifetime parameter estimates," European Journal of Operational Research, Elsevier, vol. 266(3), pages 963-975.
    9. 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.
    10. Meango, Toualith Jean-Marc & Ouali, Mohamed-Salah, 2020. "Failure interaction model based on extreme shock and Markov processes," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    11. 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).
    12. Ruiz-Castro, Juan Eloy & Fernández-Villodre, Gemma, 2012. "A complex discrete warm standby system with loss of units," European Journal of Operational Research, Elsevier, vol. 218(2), pages 456-469.
    13. Zhao, Bing & Yue, Dequan & Liao, Haitao & Liu, Yuanhui & Zhang, Xiaohong, 2021. "Performance analysis and optimization of a cold standby system subject to δ-shocks and imperfect repairs," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    14. Ma, Xiaoyang & Liu, Bin & Yang, Li & Peng, Rui & Zhang, Xiaodong, 2020. "Reliability analysis and condition-based maintenance optimization for a warm standby cooling system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    15. Kong, Xuefeng & Yang, Jun, 2020. "Reliability analysis of composite insulators subject to multiple dependent competing failure processes with shock duration and shock damage self-recovery," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    16. Zhang, Jian-Xun & Si, Xiao-Sheng & Du, Dang-Bo & Hu, Chang-Hua & Hu, Chen, 2020. "A novel iterative approach of lifetime estimation for standby systems with deteriorating spare parts," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    17. Alberti, Alexandre R. & Cavalcante, Cristiano A.V., 2020. "A two-scale maintenance policy for protection systems subject to shocks when meeting demands," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    18. Finkelstein, Maxim, 2009. "On systems with shared resources and optimal switching strategies," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1358-1362.
    19. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2020. "Optimal preventive replacement policy for homogeneous cold standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    20. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimizing preventive replacement schedule in standby systems with time consuming task transfers," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    21. Yang, Dong-Yuh & Tsao, Chih-Lung, 2019. "Reliability and availability analysis of standby systems with working vacations and retrial of failed components," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 46-55.
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    Cited by:

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    2. Santos, Augusto César de Jesus & Cavalcante, Cristiano Alexandre Virgínio & Wu, Shaomin, 2023. "Maintenance policies and models: A bibliometric and literature review of strategies for reuse and remanufacturing," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    3. 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).
    4. 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).
    5. Dui, Hongyan & Liu, Meng & Song, Jiaying & Wu, Shaomin, 2023. "Importance measure-based resilience management: Review, methodology and perspectives on maintenance," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    6. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimal multiple replacement and maintenance scheduling in two-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    7. Zhu, Ying & Xia, Tangbin & Hong, Ge & Chen, Zhen & Pan, Ershun & Xi, Lifeng, 2022. "Collaborative maintenance service and component sales under coopetition patterns for OEMs challenged by booming used-component sales," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    8. Juybari, Mohammad N. & Hamadani, Ali Zeinal & Ardakan, Mostafa Abouei, 2023. "Availability analysis and cost optimization of a repairable system with a mix of active and warm-standby components in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    9. Liu, Baoliang & Wen, Yanqing & Qiu, Qingan & Shi, Haiyan & Chen, Jianhui, 2022. "Reliability analysis for multi-state systems under K-mixed redundancy strategy considering switching failure," Reliability Engineering and System Safety, Elsevier, vol. 228(C).

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