IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v216y2021ics0951832021004865.html
   My bibliography  Save this article

Influence of storage on mission success probability of m-out-of-n standby systems with reusable elements

Author

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

Abstract

Recent studies have shown that elements reusing through preventive replacements is beneficial in enhancing the mission success probability (MSP) of standby systems. While storage is often an essential unit for system functions, none of the existing works on standby systems with reusable elements have considered this unit in the system modeling and analysis. We make contributions by modeling and optimizing a m-out-of-n standby system with reusable elements and an imperfect storage unit. The system performs a mission task that must satisfy a pre-specified demand during the mission time. Surplus product produced by operating elements is stored; in the case of not meeting the demand, the storage unit, if available, supplies the saved product to compensate the deficiency. All the system elements, during their idle time, may undergo different types of actions including staying in the warm standby mode, being protected, undergoing imperfect or perfect maintenance. A probabilistic modeling approach is first proposed for assessing the MSP of the considered system. The optimal operation and maintenance schedule (OMS) problem is then formulated and solved, which determines the OMS maximizing the MSP. A case study on a standby power generation system is provided to demonstrate influences of several storage parameters (storage capacity, storage reliability, and storage activation procedure reliability) on the MSP and optimized OMS solutions.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:reensy:v:216:y:2021:i:c:s0951832021004865
    DOI: 10.1016/j.ress.2021.107976
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832021004865
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2021.107976?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lin, Boliang & Wu, Jianping & Lin, Ruixi & Wang, Jiaxi & Wang, Hui & Zhang, Xuhui, 2019. "Optimization of high-level preventive maintenance scheduling for high-speed trains," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 261-275.
    2. Sheu, Shey-Huei & Liu, Tzu-Hsin & Zhang, Zhe-George, 2019. "Extended optimal preventive replacement policies with random working cycle," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 398-415.
    3. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2021. "Optimal shock-driven switching strategies with elements reuse in heterogeneous warm-standby systems," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    4. Wang, Xiaolin & Li, Lishuai & Xie, Min, 2020. "An unpunctual preventive maintenance policy under two-dimensional warranty," European Journal of Operational Research, Elsevier, vol. 282(1), pages 304-318.
    5. Sofia Panagiotidou, 2020. "Joint optimization of spare parts ordering and age-based preventive replacement," International Journal of Production Research, Taylor & Francis Journals, vol. 58(20), pages 6283-6299, October.
    6. Fitouhi, Mohamed-Chahir & Nourelfath, Mustapha, 2014. "Integrating noncyclical preventive maintenance scheduling and production planning for multi-state systems," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 175-186.
    7. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimal multiple replacement and maintenance scheduling in two-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    8. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2021. "Optimization of cyclic preventive replacement in homogeneous warm-standby system with reusable elements exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    9. Ma, Xiaoyang & Liu, Bin & Yang, Li & Peng, Rui & Zhang, Xiaodong, 2020. "Reliability analysis and condition-based maintenance optimization for a warm standby cooling system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    10. Yen-Luan Chen, 2019. "Optimal scheduling replacement policies for a system with multiple random works," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(3), pages 676-688, February.
    11. Wang, Jingjing & Qiu, Qingan & Wang, Huanhuan, 2021. "Joint optimization of condition-based and age-based replacement policy and inventory policy for a two-unit series system," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    12. Jinhe Wang & Xiaohong Zhang & Jianchao Zeng & Yunzheng Zhang, 2020. "Optimal dynamic imperfect preventive maintenance of wind turbines based on general renewal processes," International Journal of Production Research, Taylor & Francis Journals, vol. 58(22), pages 6791-6810, November.
    13. Zhang, Qin & Fang, Zhigeng & Cai, Jiajia, 2021. "Preventive replacement policies with multiple missions and maintenance triggering approaches," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    14. Das, Choton K. & Bass, Octavian & Kothapalli, Ganesh & Mahmoud, Thair S. & Habibi, Daryoush, 2018. "Overview of energy storage systems in distribution networks: Placement, sizing, operation, and power quality," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 1205-1230.
    15. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Optimal operation and maintenance scheduling in m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    16. Zhou, Yu & Kou, Gang & Xiao, Hui & Peng, Yi & Alsaadi, Fawaz E., 2020. "Sequential imperfect preventive maintenance model with failure intensity reduction with an application to urban buses," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    17. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2018. "Heterogeneous standby systems with shocks-driven preventive replacements," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1189-1197.
    18. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2021. "Joint optimal mission aborting and replacement and maintenance scheduling in dual-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    19. Eryilmaz, Serkan & Kan, Cihangir, 2019. "Reliability and optimal replacement policy for an extreme shock model with a change point," Reliability Engineering and System Safety, Elsevier, vol. 190(C), pages 1-1.
    20. Shadi Sanoubar & Lisa M. Maillart & Oleg A. Prokopyev, 2021. "Age-replacement policies under age-dependent replacement costs," IISE Transactions, Taylor & Francis Journals, vol. 53(4), pages 425-436, April.
    21. 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).
    22. Peiravi, Abdossaber & Ardakan, Mostafa Abouei & Zio, Enrico, 2020. "A new Markov-based model for reliability optimization problems with mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    23. Nezamoddini, Nasim & Gholami, Amirhosein & Aqlan, Faisal, 2020. "A risk-based optimization framework for integrated supply chains using genetic algorithm and artificial neural networks," International Journal of Production Economics, Elsevier, vol. 225(C).
    24. 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).
    25. Satoshi Mizutani & Wenjie Dong & Xufeng Zhao & Toshio Nakagawa, 2020. "Preventive replacement policies with products update announcements," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(15), pages 3821-3833, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. "Allocation and activation of resource constrained shock-exposed components in heterogeneous 1-out-of-n standby system," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    3. Santos, Augusto César de Jesus & Cavalcante, Cristiano Alexandre Virgínio & Wu, Shaomin, 2023. "Maintenance policies and models: A bibliometric and literature review of strategies for reuse and remanufacturing," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    4. 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).
    5. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Heterogeneous 1-out-of-n standby systems with limited unit operation time," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    6. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal mission aborting in multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    7. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Predetermined standby mode transfers in 1-out-of-N systems with resource-constrained elements," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    8. 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).
    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. Wang, Xiaolin & Xu, Jihui & Zhang, Lei & Wang, Ning, 2023. "Mission success probability optimizing of phased mission system balancing the phase backup and system risk: A novel GERT mechanism," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    11. Zhou, Yu & Kou, Gang & Guo, Zhen-Zhu & Xiao, Hui, 2023. "Availability analysis of shared bikes using abnormal trip data," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    12. 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).
    13. 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).
    14. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2023. "Co-optimizing component allocation and activation sequence in heterogeneous 1-out-of-n standby system exposed to shocks," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
    15. 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).
    16. 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).
    17. 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).
    18. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Unrepairable system with consecutively used imperfect storage units," Reliability Engineering and System Safety, Elsevier, vol. 225(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2022. "Minimum cost replacement and maintenance scheduling in dual-dissimilar-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    2. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2021. "Joint optimal mission aborting and replacement and maintenance scheduling in dual-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    3. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimal multiple replacement and maintenance scheduling in two-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    4. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Optimal operation and maintenance scheduling in m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    5. Wang, Chaonan & Wang, Xiaolei & Xing, Liudong & Guan, Quanlong & Yang, Chunhui & Yu, Min, 2021. "A Fast and Accurate Reliability Approximation Method for Heterogeneous Cold Standby Sparing Systems," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    6. Zhao, Xian & He, Zongda & Wu, Yaguang & Qiu, Qingan, 2022. "Joint optimization of condition-based performance control and maintenance policies for mission-critical systems," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    7. Santos, Augusto César de Jesus & Cavalcante, Cristiano Alexandre Virgínio & Wu, Shaomin, 2023. "Maintenance policies and models: A bibliometric and literature review of strategies for reuse and remanufacturing," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    8. Levitin, Gregory & Finkelstein, Maxim & Dai, Yuanshun, 2021. "Optimal shock-driven switching strategies with elements reuse in heterogeneous warm-standby systems," Reliability Engineering and System Safety, Elsevier, vol. 210(C).
    9. Shang, Lijun & Liu, Baoliang & Qiu, Qingan & Yang, Li & Du, Yongjun, 2023. "Designing warranty and maintenance policies for products subject to random working cycles," Reliability Engineering and System Safety, Elsevier, vol. 234(C).
    10. Lijun Shang & Xiguang Yu & Yongjun Du & Anquan Zou & Qingan Qiu, 2022. "An Optimal Random Hybrid Maintenance Policy of Systems under a Warranty with Rebate and Charge," Mathematics, MDPI, vol. 10(18), pages 1-19, September.
    11. Juybari, Mohammad N. & Hamadani, Ali Zeinal & Ardakan, Mostafa Abouei, 2023. "Availability analysis and cost optimization of a repairable system with a mix of active and warm-standby components in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    12. Liu, Baoliang & Wen, Yanqing & Qiu, Qingan & Shi, Haiyan & Chen, Jianhui, 2022. "Reliability analysis for multi-state systems under K-mixed redundancy strategy considering switching failure," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    13. Wang, Jingjing & Qiu, Qingan & Wang, Huanhuan & Lin, Cong, 2021. "Optimal condition-based preventive maintenance policy for balanced systems," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    14. Zhang, Fengxia & Shen, Jingyuan & Liao, Haitao & Ma, Yizhong, 2021. "Optimal preventive maintenance policy for a system subject to two-phase imperfect inspections," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    15. 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).
    16. Yang, Ao & Qiu, Qingan & Zhu, Mingren & Cui, Lirong & Chen, Weilin & Chen, Jianhui, 2022. "Condition-based maintenance strategy for redundant systems with arbitrary structures using improved reinforcement learning," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    17. Dui, Hongyan & Zhang, Chi & Tian, Tianzi & Wu, Shaomin, 2022. "Different costs-informed component preventive maintenance with system lifetime changes," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    18. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Heterogeneous 1-out-of-n standby systems with limited unit operation time," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    19. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Optimal mission aborting in multistate systems with storage," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    20. Chen, Liwei & Cheng, Chunchun & Dui, Hongyan & Xing, Liudong, 2022. "Maintenance cost-based importance analysis under different maintenance strategies," Reliability Engineering and System Safety, Elsevier, vol. 222(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:reensy:v:216:y:2021:i:c:s0951832021004865. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/reliability-engineering-and-system-safety .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.