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Unrepairable system with consecutively used imperfect storage units

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

Abstract

Product storage is a crucial component of some engineering or technological systems. Considering storage in the system reliability analysis has recently attracted research attentions. The existing models have mostly assumed a single storage unit per system or subsystem. In this work, we contribute by modeling the reliability of an unrepairable system with multiple consecutively-used storage units (SUs), which are characterized by initial and maximum capacities and an arbitrary time-to-failure distribution. The surplus product generated by the system's production unit (PU) is uploaded to the SUs, which are filled one after another. The products accumulated in available SUs may subsequently supply the required system demand in the case of the PU failing. A numerical approach is proposed to assess the mission success probability (MSP) of the considered system with multiple imperfect SUs. A case study on a five-tank water supply system is conducted to demonstrate the proposed model. Numerical results are provided to demonstrate the impacts of several system parameters (including SU's initial and maximum capacities, PU's productivity, system demand, and mission time) and their interactions on the MSP and the optimal maximum capacity of SUs.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with consecutively used imperfect storage units," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    • Handle: RePEc:eee:reensy:v:225:y:2022:i:c:s0951832022002216
    DOI: 10.1016/j.ress.2022.108574
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    References listed on IDEAS

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    7. 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).
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    9. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal mission aborting in multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
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    11. 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).
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    Cited by:

    1. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2024. "Optimizing corrective maintenance for multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 244(C).
    2. 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).
    3. 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).
    4. Zhou, Taotao & Zhang, Xiaoge & Droguett, Enrique Lopez & Mosleh, Ali, 2023. "A generic physics-informed neural network-based framework for reliability assessment of multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 229(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, 2022. "Loading policy minimizing cumulative unsupplied demand of production system with storage," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    7. 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).

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