IDEAS home Printed from https://ideas.repec.org/a/eee/reensy/v198y2020ics095183201930780x.html
   My bibliography  Save this article

Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state system with common bus performance sharing

Author

Listed:
  • Su, Peng
  • Wang, Guanjun
  • Duan, Fengjun

Abstract

In this paper, a new reliability model for a complex multi-state system (MSS) with performance sharing is proposed. The MSS consists of m different k-out-of-n(G) subsystems which are connected by a transmission system. Subsystem i is composed of ni non-identical components, in which at least ki working components are demanded for the operating of the subsystem. The performances of the components in subsystem i are accumulated to meet its demand. Subsystem i fails if its performance demand is not satisfied or the number of working components is insufficient. The surplus performance of any subsystem can be shared by other subsystems experiencing performance deficiency via the transmission system. The entire system fails if at least one subsystem fails after performance sharing. An algorithm based on the universal generating function (UGF) is developed to evaluate the reliability of the entire system. Analytical and numerical examples are provided to show the effectiveness of the proposed method. Finally, a structure optimization problem of the performance sharing system with given transmission capacity C is discussed.

Suggested Citation

  • Su, Peng & Wang, Guanjun & Duan, Fengjun, 2020. "Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state system with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:reensy:v:198:y:2020:i:c:s095183201930780x
    DOI: 10.1016/j.ress.2020.106884
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S095183201930780X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ress.2020.106884?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. Wu, Di & Chi, Yuanying & Peng, Rui & Sun, Mengyao, 2019. "Reliability of capacitated systems with performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 335-344.
    2. 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.
    3. Zio, E. & Marella, M. & Podofillini, L., 2007. "A Monte Carlo simulation approach to the availability assessment of multi-state systems with operational dependencies," Reliability Engineering and System Safety, Elsevier, vol. 92(7), pages 871-882.
    4. Zhao, Xian & Wang, Siqi & Wang, Xiaoyue & Cai, Kui, 2018. "A multi-state shock model with mutative failure patterns," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 1-11.
    5. Qiu, Siqi & Ming, Henry X.G., 2019. "Reliability evaluation of multi-state series-parallel systems with common bus performance sharing considering transmission loss," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 406-415.
    6. Lisnianski, Anatoly & Ding, Yi, 2009. "Redundancy analysis for repairable multi-state system by using combined stochastic processes methods and universal generating function technique," Reliability Engineering and System Safety, Elsevier, vol. 94(11), pages 1788-1795.
    7. Rui Peng, 2019. "Optimal component allocation in a multi-state system with hierarchical performance sharing groups," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(4), pages 581-587, April.
    8. 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.
    9. Gregory Levitin, 2011. "Reliability of multi-state systems with common bus performance sharing," IISE Transactions, Taylor & Francis Journals, vol. 43(7), pages 518-524.
    10. Ye, Zhi-Sheng & Peng, Rui & Wang, Wenbin, 2017. "Defense and attack of performance-sharing common bus systemsAuthor-Name: Zhai, Qingqing," European Journal of Operational Research, Elsevier, vol. 256(3), pages 962-975.
    11. Lisnianski, Anatoly & Ding, Yi, 2016. "Using inverse Lz-transform for obtaining compact stochastic model of complex power station for short-term risk evaluation," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 19-27.
    12. Wang, Guanjun & Peng, Rui & Xing, Liudong, 2018. "Reliability evaluation of unrepairable k-out-of-n: G systems with phased-mission requirements based on record values," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 191-197.
    13. 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.
    14. 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.
    15. Yu, Huan & Yang, Jun & Mo, Huadong, 2014. "Reliability analysis of repairable multi-state system with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 132(C), pages 90-96.
    16. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, December.
    17. Xing, Liudong & Amari, Suprasad V. & Wang, Chaonan, 2012. "Reliability of k-out-of-n systems with phased-mission requirements and imperfect fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 103(C), pages 45-50.
    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. Xiao, Hui & Yi, Kunxiang & Liu, Haitao & Kou, Gang, 2021. "Reliability modeling and optimization of a two-dimensional sliding window system," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    2. Zhang, Ning & Qi, Faqun & Zhang, Chengjie & Zhou, Hongming, 2022. "Joint optimization of condition-based maintenance policy and buffer capacity for a two-unit series system," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    3. Hu, Yishuang & Lin, Yu & Ding, Yi & Chen, Xingying & Zeng, Zhiguo, 2021. "Screening of optimal structure among large-scale multi-state weighted k-out-of-n systems considering reliability evaluation," Reliability Engineering and System Safety, Elsevier, vol. 206(C).
    4. Zhang, Jinchun & Lv, Hang & Hou, Jinxiu, 2023. "A novel general model for RAP and RRAP optimization of k-out-of-n:G systems with mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    5. Azhdari, Armaghan & Ardakan, Mostafa Abouei, 2022. "Reliability optimization of multi-state networks in a star configuration with bi-level performance sharing mechanism and transmission losses," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    6. Wang, Xiaoyue & Zhao, Xian & Wu, Congshan & Wang, Siqi, 2022. "Mixed shock model for multi-state weighted k-out-of-n: F systems with degraded resistance against shocks," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    7. Xiao, Hui & Lin, Chen & Kou, Gang & Peng, Rui, 2022. "Reliability modeling and configuration optimization of a photovoltaic based electric power generation system," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    8. Wu, Congshan & Zhao, Xian & Wang, Xiaoyue & Wang, Siqi, 2021. "Reliability analysis of performance-based balanced systems with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    9. Gu, Liudong & Wang, Guanjun & Zhou, Yifan & Peng, Rui, 2024. "Reliability optimization of multi-state systems with two performance sharing groups," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    10. Cao, Minhao & Guo, Jianjun & Xiao, Hui & Wu, Liang, 2022. "Reliability analysis and optimal generator allocation and protection strategy of a non-repairable power grid system," Reliability Engineering and System Safety, Elsevier, vol. 222(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. 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).
    2. Hui Xiao & Minhao Cao & Gang Kou & Xiaojun Yuan, 2021. "Optimal element allocation and sequencing of multi-state series systems with two levels of performance sharing," Journal of Risk and Reliability, , vol. 235(2), pages 282-292, April.
    3. Wu, Congshan & Zhao, Xian & Wang, Xiaoyue & Wang, Siqi, 2021. "Reliability analysis of performance-based balanced systems with common bus performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    4. Cheng, Chen & Yang, Jun & Li, Lei, 2021. "Reliability evaluation of a k-out-of-n(G)-subsystem based multi-state phased mission system with common bus performance sharing subjected to common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 216(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. Yan, Xiangbin & Qiu, Hui & Peng, Rui & Wu, Shaomin, 2020. "Optimal configuration of a power grid system with a dynamic performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    7. Wu, Di & Chi, Yuanying & Peng, Rui & Sun, Mengyao, 2019. "Reliability of capacitated systems with performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 335-344.
    8. Azhdari, Armaghan & Ardakan, Mostafa Abouei, 2022. "Reliability optimization of multi-state networks in a star configuration with bi-level performance sharing mechanism and transmission losses," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    9. Gu, Liudong & Wang, Guanjun & Zhou, Yifan & Peng, Rui, 2024. "Reliability optimization of multi-state systems with two performance sharing groups," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    10. Xiao, Hui & Zhang, Yiyun & Xiang, Yisha & Peng, Rui, 2020. "Optimal design of a linear sliding window system with consideration of performance sharing," Reliability Engineering and System Safety, Elsevier, vol. 198(C).
    11. Levitin, Gregory & Xing, Liudong & Huang, Hong Zhong, 2019. "Dynamic availability and performance deficiency of common bus systems with imperfectly repairable components," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 58-66.
    12. Ma, Ye & Chi, Yuanying & Wu, Di & Peng, Rui & Wu, Shaomin, 2021. "Reliability of integrated electricity and gas supply system with performance substitution and sharing mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    13. Azhdari, Armaghan & Ardakan, Mostafa Abouei & Najafi, Mojtaba, 2023. "An approach for reliability optimization of a multi-state centralized network," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    14. Tian, Tianzi & Yang, Jun & Li, Lei & Wang, Ning, 2023. "Reliability assessment of performance-based balanced systems with rebalancing mechanisms," Reliability Engineering and System Safety, Elsevier, vol. 233(C).
    15. Qiu, Siqi & Ming, Henry X.G., 2019. "Reliability evaluation of multi-state series-parallel systems with common bus performance sharing considering transmission loss," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 406-415.
    16. 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.
    17. Cao, Minhao & Guo, Jianjun & Xiao, Hui & Wu, Liang, 2022. "Reliability analysis and optimal generator allocation and protection strategy of a non-repairable power grid system," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    18. Yanbo Song & Xiaoyue Wang, 2022. "Reliability Analysis of the Multi-State k -out-of- n : F Systems with Multiple Operation Mechanisms," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    19. Jia, Heping & Liu, Dunnan & Li, Yanbin & Ding, Yi & Liu, Mingguang & Peng, Rui, 2020. "Reliability evaluation of power systems with multi-state warm standby and multi-state performance sharing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
    20. Xiao, Hui & Cao, Minhao, 2020. "Balancing the demand and supply of a power grid system via reliability modeling and maintenance optimization," Energy, Elsevier, vol. 210(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:198:y:2020:i:c:s095183201930780x. 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.