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Optimizing the maximum filling level of perfect storage in system with imperfect production unit

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

Abstract

Reliability of production systems with storage has recently attracted lots of research attentions. While the existing works have assumed certain maximum capacity of the storage, no models are available to examine the effects of the storage's maximum filling level Cmax on the mission success probability (MSP). This paper contributes by modeling two-sided effects of Cmax on the MSP of an imperfect production system subject to repairs and preventive maintenance (PM) during the specified mission time. In particular, a larger value of Cmax enables the storage to supply the system demand during a longer time when the production system is under repair or PM (enhancing the MSP); on the other hand, it leads to longer operation periods and consequently more frequent failures of the production system (reducing the MSP). To balance these conflicting effects, we formulate and solve the optimal storage filling problem, which determines the optimal value of Cmax to maximize the MSP. The optimization solution encompasses a new probabilistic model-based numerical algorithm proposed for the MSP evaluation. A case study of a water pump system is performed to demonstrate the influences of several system parameters and their interactions on the MSP and optimized Cmax.

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  • 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).
    • Handle: RePEc:eee:reensy:v:225:y:2022:i:c:s095183202200268x
    DOI: 10.1016/j.ress.2022.108629
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    References listed on IDEAS

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    1. 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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    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).
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    6. 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).
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    9. de Ridder, Fjo & van Roy, Jeroen & de Schutter, Bert & Mazairac, Wiet, 2021. "An exploration of shared heat storage systems in the greenhouse horticulture industry," Energy, Elsevier, vol. 235(C).
    10. Alexander Shapiro & Jos Berge, 2002. "Statistical inference of minimum rank factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 79-94, March.
    11. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with consecutively used imperfect storage units," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    12. 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).
    13. 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).
    14. 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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    1. 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).
    2. 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).
    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).

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