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Optimal sequencing of elements activation in 1-out-of-n warm standby system with storage

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

Abstract

Despite the rich body of research on reliability analysis and optimization of warm standby systems, the existing works have mostly failed to consider the practical storage component of such systems. This paper advances the state of the art by modeling and optimizing the reliability of a 1-out-of-n warm standby system with product storage, characterized by a maximum capacity, and specific uploading and downloading paces constraints. The storage may accumulate surplus product when the performance of the operating element exceeds the demand and compensate product deficiency otherwise. A numerical algorithm based on the probabilistic model is first proposed to evaluate the reliability or success probability of the system mission (MSP) that must satisfy a pre-specified demand during a required mission time. As a further contribution, the optimal element activation sequence problem is formulated and solved to maximize the mission success probability. Influences of several model parameters (storage capacity, demand, mission time, element reliability, and storage uploading/downloading pace constraints) on the MSP and optimization solutions are investigated through an example of a power system.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:221:y:2022:i:c:s0951832022000576
    DOI: 10.1016/j.ress.2022.108380
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    Cited by:

    1. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Optimizing partial component activation policy in multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Optimizing corrective maintenance for multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 244(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. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Optimal tasks assignment policy in multi-task multi-attempt missions," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    5. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Consecutively connected systems with unreliable resource generators and storages," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    6. 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).
    7. 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).
    8. 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).
    9. 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).
    10. 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).
    11. Emmers, Glenn & Van Acker, Tom & Driesen, Johan, 2024. "A semi-Markovian approach to evaluate the availability of low voltage direct current systems with integrated battery storage," Reliability Engineering and System Safety, Elsevier, vol. 243(C).
    12. 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).
    13. Alkaff, Abdullah, 2023. "Optimum warmness levels in general standby systems," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    14. 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).
    15. 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).
    16. 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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