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Optimal loading of elements in series systems exposed to external shocks

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  • Levitin, Gregory
  • Finkelstein, Maxim

Abstract

This paper considers specific series systems exposed to external shocks and internal failures. The systems must complete a specified amount of work. The system elements can operate with different load levels that determine their performance and internal failure rates. The increase of the elements’ loading, on one hand increases their internal failure rate, but, on the other hand, it increases its performance level, which leads to reduction of the mission time. The optimal loading should achieve the balance between these two effects and provide the largest mission success probability. Two different types of series systems characterized by different definitions of time during which the elements are exposed to external shocks are considered. The cases when the elements are exposed to a common shock process and to different independent shock processes are also analyzed. Illustrative examples are presented.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:192:y:2019:i:c:s095183201730100x
    DOI: 10.1016/j.ress.2017.08.009
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    References listed on IDEAS

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    10. Levitin, Gregory & Finkelstein, Maxim, 2017. "Effect of element separation in series-parallel systems exposed to random shocks," European Journal of Operational Research, Elsevier, vol. 260(1), pages 305-315.
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    1. Fan, Dongming & Sun, Bo & Dui, Hongyan & Zhong, Jilong & Wang, Ziyao & Ren, Yi & Wang, Zili, 2022. "A modified connectivity link addition strategy to improve the resilience of multiplex networks against attacks," Reliability Engineering and System Safety, Elsevier, vol. 221(C).
    2. 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).
    3. Junyuan Wang & Jimin Ye, 2022. "A new repair model and its optimization for cold standby system," Operational Research, Springer, vol. 22(1), pages 105-122, March.
    4. Fang, Chen & Cui, Lirong, 2020. "Reliability analysis for balanced engine systems with m sectors by considering start-up probability," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    5. 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).
    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).

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