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Influence of storage on mission success probability of m-out-of-n standby systems with reusable elements

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

Abstract

Recent studies have shown that elements reusing through preventive replacements is beneficial in enhancing the mission success probability (MSP) of standby systems. While storage is often an essential unit for system functions, none of the existing works on standby systems with reusable elements have considered this unit in the system modeling and analysis. We make contributions by modeling and optimizing a m-out-of-n standby system with reusable elements and an imperfect storage unit. The system performs a mission task that must satisfy a pre-specified demand during the mission time. Surplus product produced by operating elements is stored; in the case of not meeting the demand, the storage unit, if available, supplies the saved product to compensate the deficiency. All the system elements, during their idle time, may undergo different types of actions including staying in the warm standby mode, being protected, undergoing imperfect or perfect maintenance. A probabilistic modeling approach is first proposed for assessing the MSP of the considered system. The optimal operation and maintenance schedule (OMS) problem is then formulated and solved, which determines the OMS maximizing the MSP. A case study on a standby power generation system is provided to demonstrate influences of several storage parameters (storage capacity, storage reliability, and storage activation procedure reliability) on the MSP and optimized OMS solutions.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:216:y:2021:i:c:s0951832021004865
    DOI: 10.1016/j.ress.2021.107976
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    Cited by:

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    2. 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).
    3. 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).
    4. 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).
    5. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Optimizing uploading and downloading pace distribution in system with two non-identical storage units," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    6. 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).
    7. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Co-optimizing component allocation and activation sequence in heterogeneous 1-out-of-n standby system exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    8. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal loading of repairable system with perfect product storage," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    9. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Heterogeneous 1-out-of-n standby systems with limited unit operation time," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    10. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal mission aborting in multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    11. 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).
    12. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimizing the maximum filling level of perfect storage in system with imperfect production unit," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    13. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Loading policy minimizing cumulative unsupplied demand of production system with storage," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    14. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Minimizing mission cost for production system with unreliable storage," Reliability Engineering and System Safety, Elsevier, vol. 227(C).
    15. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with single production unit and n failure-prone identical parallel storage units," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    16. Wang, Xiaolin & Xu, Jihui & Zhang, Lei & Wang, Ning, 2023. "Mission success probability optimizing of phased mission system balancing the phase backup and system risk: A novel GERT mechanism," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    17. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with consecutively used imperfect storage units," Reliability Engineering and System Safety, Elsevier, vol. 225(C).

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