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Reliability evaluation of circular k-out-of-n: G balanced systems through minimal path sets

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  • Endharta, Alfonsus Julanto
  • Yun, Won Young
  • Ko, Young Myoung

Abstract

This paper studies a circular k-out-of-n: G balanced systems with identical and independent spatially distributed units. The system consists of an even number of units n which have constant survival probability r and failure probability 1 – r. The system is operating if at least k units are operating and it is balanced. A new balance definition is proposed for this system and the system reliability is calculated when the existing and the proposed system balance conditions are considered. The minimal path sets of the system are considered in the evaluation of the system reliability. The difference between the system reliability values reinforces the need to carefully select the system balance definition, depending on the system.

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  • Endharta, Alfonsus Julanto & Yun, Won Young & Ko, Young Myoung, 2018. "Reliability evaluation of circular k-out-of-n: G balanced systems through minimal path sets," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 226-236.
  • Handle: RePEc:eee:reensy:v:180:y:2018:i:c:p:226-236
    DOI: 10.1016/j.ress.2018.07.023
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    1. Diallo, Claver & Venkatadri, Uday & Khatab, Abdelhakim & Liu, Zhuojun, 2018. "Optimal selective maintenance decisions for large serial k-out-of-n: G systems under imperfect maintenance," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 234-245.
    2. Yamamoto, Hisashi & Akiba, Tomoaki & Nagatsuka, Hideki & Moriyama, Yurie, 2008. "Recursive algorithm for the reliability of a connected-(1, 2)-or-(2, 1)-out-of-(m, n):F lattice system," European Journal of Operational Research, Elsevier, vol. 188(3), pages 854-864, August.
    3. Kim, Heungseob, 2017. "Optimal reliability design of a system with k-out-of-n subsystems considering redundancy strategies," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 572-582.
    4. Qiu, Siqi & Sallak, Mohamed & Schön, Walter & Ming, Henry X.G., 2018. "Extended LK heuristics for the optimization of linear consecutive-k-out-of-n: F systems considering parametric uncertainty and model uncertainty," Reliability Engineering and System Safety, Elsevier, vol. 175(C), pages 51-61.
    5. Bjarnason, Erik T.S. & Taghipour, Sharareh & Banjevic, Dragan, 2014. "Joint optimal inspection and inventory for a k-out-of-n system," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 203-215.
    6. Yun, Won-Young & Kim, Gui-Rae & Yamamoto, Hisashi, 2007. "Economic design of a circular consecutive-k-out-of-n:F system with (k-1)-step Markov dependence," Reliability Engineering and System Safety, Elsevier, vol. 92(4), pages 464-478.
    7. Zhu, Xiaoyan & Boushaba, Mahmoud & Coit, David W. & Benyahia, Azzeddine, 2017. "Reliability and importance measures for m-consecutive-k, l-out-of-n system with non-homogeneous Markov-dependent components," Reliability Engineering and System Safety, Elsevier, vol. 167(C), pages 1-9.
    8. Won Yun & Gui Kim & Hisashi Yamamoto, 2012. "Economic design of a load-sharing consecutive -out-of-:F system," IISE Transactions, Taylor & Francis Journals, vol. 44(1), pages 55-67.
    9. Zhang, Yiying, 2018. "Optimal allocation of active redundancies in weighted k-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 135(C), pages 110-117.
    10. Eryilmaz, Serkan, 2013. "On reliability analysis of a k-out-of-n system with components having random weights," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 41-44.
    11. 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.
    12. Mingjian Zuo & Way Kuo, 1990. "Design and performance analysis of consecutive‐K‐out‐of‐n structure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(2), pages 203-230, April.
    13. Coit, David W. & Chatwattanasiri, Nida & Wattanapongsakorn, Naruemon & Konak, Abdullah, 2015. "Dynamic k-out-of-n system reliability with component partnership," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 82-92.
    14. 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.
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