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Optimal operation and maintenance scheduling in generalized repairable m-out-of-n standby systems with common shocks

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

Abstract

This paper contributes by modeling a new class of repairable, dynamic m-out-of-n standby systems operating in random shock environments. Operating components are exposed to a common shock process and can fail due to external shocks and/or internal deterioration, causing the failure of the entire mission. Therefore, it is pivotal to implement an operation and maintenance schedule (OMS), according to which any operating component may be preventively replaced by a standby component to undergo perfect maintenance during the mission. Due to heterogeneity of system components, different OMSs incur different expected mission cost (EMC) and mission success probability (MSP). We formulate a new optimization problem to determine the optimal OMS that minimizes the EMC while satisfying a certain level of MSP. The solution methodology encompasses a new recursive procedure to evaluate MSP and the realization of genetic algorithm. A case study of a chemical reactor cooling system is conducted to showcase the proposed model and study the effects of component heterogeneity as well as several key model parameters on the system performance. The mission cost sensitivity analysis is also demonstrated, providing insights on the most cost-effective component performance or shock resistance improvement. The proposed model extends the OMS study of standby systems in literature from non-shock to shock operating environments.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2025. "Optimal operation and maintenance scheduling in generalized repairable m-out-of-n standby systems with common shocks," Reliability Engineering and System Safety, Elsevier, vol. 260(C).
    • Handle: RePEc:eee:reensy:v:260:y:2025:i:c:s095183202500170x
    DOI: 10.1016/j.ress.2025.110967
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    References listed on IDEAS

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    1. 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).
    2. 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).
    3. 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).
    4. Bai, Senyang & Jia, Xiang & Cheng, Zhijun & Guo, Bo, 2021. "Operation strategy optimization for on-orbit satellite subsystems considering multiple active switching," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    5. Eryilmaz, Serkan & Unlu, Kamil Demirberk, 2023. "A new generalized δ-shock model and its application to 1-out-of-(m+1):G cold standby system," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    6. 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).
    7. Zhao, Xian & Wang, Chen & Wang, Siqi, 2024. "Reliability analysis of multi-state balanced systems with standby components switching mechanism," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    8. Che, Haiyang & Zeng, Shengkui & Zhao, Yingzhi & Guo, Jianbin, 2024. "Reliability assessment of multi-state weighted k-out-of-n man-machine systems considering dependent machine deterioration and human fatigue," Reliability Engineering and System Safety, Elsevier, vol. 246(C).
    9. 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.
    10. 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).
    11. Qi, Faqun & Yang, Huaqing & Wei, Lai & Shu, Xinting, 2024. "Preventive maintenance policy optimization for a weighted k-out-of-n: G system using the survival signature," Reliability Engineering and System Safety, Elsevier, vol. 249(C).
    12. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Optimal operation and maintenance scheduling in m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    13. Marqusee, Jeffrey & Jenket, Donald, 2020. "Reliability of emergency and standby diesel generators: Impact on energy resiliency solutions," Applied Energy, Elsevier, vol. 268(C).
    14. 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).
    15. Zheng, Jianfei & Ren, Jincheng & Pei, Hong & Zhang, Jianxun & Zhang, Zhengxin, 2024. "Lifetime prediction and replacement optimization for a standby system considering storage failures of spare parts," Reliability Engineering and System Safety, Elsevier, vol. 250(C).
    16. Wang, Chaonan & Wang, Xiaolei & Xing, Liudong & Guan, Quanlong & Yang, Chunhui & Yu, Min, 2023. "Efficient reliability approximation for large k-out-of-n cold standby systems with position-dependent component lifetime distributions," Reliability Engineering and System Safety, Elsevier, vol. 240(C).
    17. 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).
    18. Zhao, Xian & Liu, Haoran & Wu, Yaguang & Qiu, Qingan, 2023. "Joint optimization of mission abort and system structure considering dynamic tasks," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    19. 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.
    20. 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.
    21. Guo, Linhan & Li, Ruiyang & Wang, Yu & Yang, Jun & Liu, Yu & Chen, Yiming & Zhang, Jianguo, 2023. "Availability for multi-component k-out-of-n: G warm-standby system in series with shut-off rule of suspended animation," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    22. 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).
    23. 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).
    24. 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.
    25. 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).
    26. Qiu, Qingan & Cui, Lirong, 2019. "Optimal mission abort policy for systems subject to random shocks based on virtual age process," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 11-20.
    27. Li, Xiao-Yang & Liu, Yue & Lin, Yan-Hui & Xiao, Liang-Hua & Zio, Enrico & Kang, Rui, 2021. "A generalized petri net-based modeling framework for service reliability evaluation and management of cloud data centers," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    28. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Standby mode transfer schedule minimizing downtime of 1-out-of-N system with storage," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    29. 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).
    30. 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.
    31. 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.
    32. Sharifi, Mani & Taghipour, Sharareh, 2023. "Inspection interval optimization of a weighted-K-out-of-N system with identical multi-state load-sharing components," Reliability Engineering and System Safety, Elsevier, vol. 238(C).
    33. Gholinezhad, Hadi, 2024. "A new model for reliability redundancy allocation problem with component mixing," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    34. Eryilmaz, Serkan & Ucum, Kaan Ayberk, 2021. "The lost capacity by the weighted k-out-of-n system upon system failure," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    35. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Allocation and activation of resource constrained shock-exposed components in heterogeneous 1-out-of-n standby system," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
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