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Optimal loading of repairable system with perfect product storage

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

Abstract

It is a common practice to use product storage to enhance the system operation efficiency and mission success probability (MSP). However, very few studies in the reliability literature considered the storage component and none of the existing models addressed the optimal loading problem. This paper contributes by analyzing and maximizing the MSP for repairable systems with load-dependent performance and product storage of limited capacity. The storage is used to cumulate surplus product when the system performance exceeds the demand and compensate the deficiency when the system has insufficient performance or is failed and under repair. Both time-to-failure and time-to-repair are random, following arbitrary distributions. A numerical MSP evaluation algorithm is put forward for the considered repairable system with specified demand and mission time. As another contribution, the optimal loading problem is solved to determine the loading policy that maximizes the MSP. A case study on a repairable pump system in a chemical reactor is provided to examine the influences of storage capacity and initial storage filling on the MSP and the optimized loading policy.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:220:y:2022:i:c:s095183202100764x
    DOI: 10.1016/j.ress.2021.108293
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    References listed on IDEAS

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    1. Bressi, Sara & Santos, João & Losa, Massimo, 2021. "Optimization of maintenance strategies for railway track-bed considering probabilistic degradation models and different reliability levels," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    2. Levitin, Gregory & Amari, Suprasad V., 2009. "Optimal load distribution in series–parallel systems," Reliability Engineering and System Safety, Elsevier, vol. 94(2), pages 254-260.
    3. Xiao, Hui & Shi, Daimin & Ding, Yi & Peng, Rui, 2016. "Optimal loading and protection of multi-state systems considering performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 149(C), pages 88-95.
    4. Levitin, Gregory & Finkelstein, Maxim, 2019. "Optimal loading of elements in series systems exposed to external shocks," Reliability Engineering and System Safety, Elsevier, vol. 192(C).
    5. Gajpal, Yuvraj & Nourelfath, Mustapha, 2015. "Two efficient heuristics to solve the integrated load distribution and production planning problem," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 204-214.
    6. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2014. "Optimal component loading in 1-out-of-N cold standby systems," Reliability Engineering and System Safety, Elsevier, vol. 127(C), pages 58-64.
    7. 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.
    8. Wang, Zengkai & Zeng, Shengkui & Guo, Jianbin & Che, Haiyang, 2021. "A Bayesian network for reliability assessment of man-machine phased-mission system considering the phase dependencies of human cognitive error," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    9. Zhu, Xiaoning & Yan, Rui & Peng, Rui & Zhang, Zhongxin, 2020. "Optimal routing, loading and aborting of UAVs executing both visiting tasks and transportation tasks," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    10. 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).
    11. Levitin, Gregory & Xing, Liudong & Ben-Haim, Hanoch & Dai, Yuanshun, 2016. "Optimal task partition and state-dependent loading in heterogeneous two-element work sharing system," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 97-108.
    12. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2017. "Optimal loading of series parallel systems with arbitrary element time-to-failure and time-to-repair distributions," Reliability Engineering and System Safety, Elsevier, vol. 164(C), pages 34-44.
    13. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2015. "Optimal loading of system with random repair time," European Journal of Operational Research, Elsevier, vol. 247(1), pages 137-143.
    14. Cheng, Chen & Yang, Jun & Li, Lei, 2020. "Reliability assessment of multi-state phased mission systems with common bus performance sharing considering transmission loss and performance storage," Reliability Engineering and System Safety, Elsevier, vol. 199(C).
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. 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).
    2. Zhao, Xian & Li, Rong & Cao, Shuai & Qiu, Qingan, 2023. "Joint modeling of loading and mission abort policies for systems operating in dynamic environments," Reliability Engineering and System Safety, Elsevier, vol. 230(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, 2022. "Unrepairable system with single production unit and n failure-prone identical parallel storage units," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    5. 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).
    6. 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).
    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. "Optimizing the maximum filling level of perfect storage in system with imperfect production unit," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    9. 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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