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Unrepairable system with single production unit and n failure-prone identical parallel storage units

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

Abstract

Despite the crucial role of product storage played in the operation of real-world systems, only very few reliability studies have considered this component in the system reliability modeling and analysis and the existing models assume only a single storage unit per system or subsystem. This paper makes advancements by modeling an unrepairable system with a production unit (PU) and multiple parallel storage units (SUs) of limited capacity. Both the PU and SUs are failure prone or imperfect with time-to-failure following arbitrary distributions. The surplus product in the case of the PU's performance exceeding the demand is evenly distributed among available SUs. The cumulated products in available SUs may subsequently compensate the deficiency when the PU fails or has insufficient performance. We put forward a numerical algorithm of evaluating the mission success probability (MSP) of the considered system with required demand and mission time. We conduct a case study on a water supply system with five SUs to illustrate the proposed model and investigate impacts of several model parameters (including initial SU filling, SU capacity, the number of SUs, PU productivity, reliabilities of PU and SU) as well as their interactions on the MSP.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:222:y:2022:i:c:s095183202200103x
    DOI: 10.1016/j.ress.2022.108437
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    References listed on IDEAS

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    1. 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).
    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).
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    5. 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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    8. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal mission aborting in multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    9. Prajapati, Vijaykumar K. & Mahajan, Vasundhara, 2021. "Reliability assessment and congestion management of power system with energy storage system and uncertain renewable resources," Energy, Elsevier, vol. 215(PB).
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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. 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).
    5. Jiang, Weixin & Cui, Lirong & Liang, Xiaojun, 2024. "Optimal maintenance policies for three-unit parallel production systems considering yields," Reliability Engineering and System Safety, Elsevier, vol. 248(C).
    6. 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).
    7. 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).
    8. 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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