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Loading policy minimizing cumulative unsupplied demand of production system with storage

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

Abstract

The loading level applied during a system's operation can greatly affect the system's productivity and time-to-failure distribution. The optimal loading problem aims to determine loading levels leading to the best system performance. While this problem has been solved for many types of technical systems, very little work was devoted to production systems (PSs) with storage and the existing model assumed the storage is fully reliable and failed to consider effects of the storage's loading levels. This paper makes contributions by solving the optimal loading problem for an imperfect PS having an unreliable storage with possibility to choose different load levels that determine the storage's uploading and downloading paces and load levels that determine the productivity of the PS. Moreover, the downloading load level is chosen dynamically depending on the beginning time of the storage downloading. We evaluate and minimize the expected cumulative unsupplied demand (EUD) during the mission, and perform a detailed case study of a water supply system to demonstrate the proposed model and optimal loading policy solutions. Influences of several model parameters (mission time, PS's reliability, storage's reliability, capacity and initial filling) and their interactions on the EUD and optimization solutions are also examined through examples.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:228:y:2022:i:c:s0951832022004458
    DOI: 10.1016/j.ress.2022.108826
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    References listed on IDEAS

    as
    1. 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).
    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).
    3. 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).
    4. 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.
    5. 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).
    6. 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).
    7. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimizing preventive replacement schedule in standby systems with time consuming task transfers," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    8. 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.
    9. 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).
    10. 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.
    11. 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).
    12. 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).
    13. Hamada, Michael & Martz, Harry F. & Berg, Eric C. & Koehler, Arthur J., 2006. "Optimizing the product-based availability of a buffered industrial process," Reliability Engineering and System Safety, Elsevier, vol. 91(9), pages 1039-1048.
    14. 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.
    15. 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.
    16. Jia, Heping & Peng, Rui & Yang, Li & Wu, Tianyi & Liu, Dunnan & Li, Yanbin, 2022. "Reliability evaluation of demand-based warm standby systems with capacity storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    17. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with consecutively used imperfect storage units," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    18. 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.
    19. 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.
    20. 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).
    21. 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.
    22. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal mission aborting in multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    Full references (including those not matched with items on IDEAS)

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