IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v195y2020ics0951832019309159.html
   My bibliography  Save this article

Reliability evaluation of uncertain k-out-of-n systems with multiple states

Author

Listed:
  • Sheng, Yuhong
  • Ke, Hua

Abstract

Uncertain multi-state k-out-of-n systems, as generalizations of uncertain binary k-out-of-n systems, are investigated in this paper, of which the components could be in multiple states. Some formulas are derived to evaluate the reliability index of an uncertain multi-state k-out-of-n system. Besides, the concept of importance measure is introduced to describe the relative importance of the components in an uncertain multi-state k-out-of-n system, and a binary search algorithm is designed to compute the importance measures of the components.

Suggested Citation

  • Sheng, Yuhong & Ke, Hua, 2020. "Reliability evaluation of uncertain k-out-of-n systems with multiple states," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:reensy:v:195:y:2020:i:c:s0951832019309159
    DOI: 10.1016/j.ress.2019.106696
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0951832019309159
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2019.106696?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. Eryilmaz, Serkan & Rıza Bozbulut, Ali, 2014. "An algorithmic approach for the dynamic reliability analysis of non-repairable multi-state weighted k-out-of-n:G system," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 61-65.
    2. Zhigang Tian & Ming Zuo & Richard Yam, 2009. "Multi-state systems and their performance evaluation," IISE Transactions, Taylor & Francis Journals, vol. 41(1), pages 32-44.
    3. Mo, Yuchang & Xing, Liudong & Cui, Lirong & Si, Shubin, 2017. "MDD-based performability analysis of multi-state linear consecutive-k-out-of-n: F systems," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 124-131.
    4. Li, Wei & Zuo, Ming J., 2008. "Optimal design of multi-state weighted k-out-of-n systems based on component design," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1673-1681.
    5. Richard E. Barlow & Alexander S. Wu, 1978. "Coherent Systems with Multi-State Components," Mathematics of Operations Research, INFORMS, vol. 3(4), pages 275-281, November.
    6. Faghih-Roohi, Shahrzad & Xie, Min & Ng, Kien Ming & Yam, Richard C.M., 2014. "Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 57-62.
    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. Soheil Azizi & Milad Mohammadi, 2023. "Strategy selection for multi-objective redundancy allocation problem in a k-out-of-n system considering the mean time to failure," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 1021-1044, June.
    2. Lu, Xuefei & Baraldi, Piero & Zio, Enrico, 2020. "A data-driven framework for identifying important components in complex systems," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    3. Roy Cerqueti, 2022. "A new concept of reliability system and applications in finance," Annals of Operations Research, Springer, vol. 312(1), pages 45-64, May.

    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. Eryilmaz, Serkan, 2018. "Reliability analysis of multi-state system with three-state components and its application to wind energy," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 58-63.
    2. Eryilmaz, Serkan, 2015. "Capacity loss and residual capacity in weighted k-out-of-n:G systems," Reliability Engineering and System Safety, Elsevier, vol. 136(C), pages 140-144.
    3. Eryilmaz, Serkan, 2015. "Dynamic assessment of multi-state systems using phase-type modeling," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 71-77.
    4. Chen, Zhiwei & Hong, Dongpao & Cui, Weiwei & Xue, Weikang & Wang, Yao & Zhong, Jilong, 2023. "Resilience evaluation and optimal design for weapon system of systems with dynamic reconfiguration," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    5. Wang, Guanjun & Duan, Fengjun & Zhou, Yifan, 2018. "Reliability evaluation of multi-state series systems with performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 173(C), pages 58-63.
    6. Mo, Yuchang & Xing, Liudong & Amari, Suprasad V. & Bechta Dugan, Joanne, 2015. "Efficient analysis of multi-state k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 95-105.
    7. S K Chaturvedi & S H Basha & S V Amari & M J Zuo, 2012. "Reliability analysis of generalized multi-state k-out-of-n systems," Journal of Risk and Reliability, , vol. 226(3), pages 327-336, June.
    8. Faghih-Roohi, Shahrzad & Xie, Min & Ng, Kien Ming & Yam, Richard C.M., 2014. "Dynamic availability assessment and optimal component design of multi-state weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 57-62.
    9. Jafary, Bentolhoda & Fiondella, Lance, 2016. "A universal generating function-based multi-state system performance model subject to correlated failures," Reliability Engineering and System Safety, Elsevier, vol. 152(C), pages 16-27.
    10. Lu, Shaoqi & Shi, Daimin & Xiao, Hui, 2019. "Reliability of sliding window systems with two failure modes," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 366-376.
    11. Peng, Rui & Xiao, Hui & Liu, Hanlin, 2017. "Reliability of multi-state systems with a performance sharing group of limited size," Reliability Engineering and System Safety, Elsevier, vol. 166(C), pages 164-170.
    12. Ramirez-Marquez, Jose E. & Rocco, Claudio M. & Gebre, Bethel A. & Coit, David W. & Tortorella, Michael, 2006. "New insights on multi-state component criticality and importance," Reliability Engineering and System Safety, Elsevier, vol. 91(8), pages 894-904.
    13. Che, Haiyang & Zeng, Shengkui & Zhao, Yingzhi & Guo, Jianbin, 2024. "Reliability assessment of multi-state weighted k-out-of-n man-machine systems considering dependent machine deterioration and human fatigue," Reliability Engineering and System Safety, Elsevier, vol. 246(C).
    14. Chenxi Liu & Nan Chen & Jianing Yang, 2015. "New method for multi-state system reliability analysis based on linear algebraic representation," Journal of Risk and Reliability, , vol. 229(5), pages 469-482, October.
    15. Zaitseva, Elena & Levashenko, Vitaly & Rabcan, Jan, 2023. "A new method for analysis of Multi-State systems based on Multi-valued decision diagram under epistemic uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    16. Dong, Wenjie & Liu, Sifeng & Tao, Liangyan & Cao, Yingsai & Fang, Zhigeng, 2019. "Reliability variation of multi-state components with inertial effect of deteriorating output performances," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 176-185.
    17. 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.
    18. Serkan Eryılmaz, 2011. "A new perspective to stress–strength models," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 63(1), pages 101-115, February.
    19. Tian, Zhigang & Zuo, Ming J., 2006. "Redundancy allocation for multi-state systems using physical programming and genetic algorithms," Reliability Engineering and System Safety, Elsevier, vol. 91(9), pages 1049-1056.
    20. Xiaogang Song & Zhengjun Zhai & Yangming Guo & Peican Zhu & Jie Han, 2017. "Approximate Analysis of Multi-State Weighted k -Out-of- n Systems Applied to Transmission Lines," Energies, MDPI, vol. 10(11), pages 1-16, October.

    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:195:y:2020:i:c:s0951832019309159. 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.