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On the timing to switch on the standby in k-out-of-n:G redundant systems

Author

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  • Li, Xiaohu
  • Fang, Rui
  • Mi, Jie

Abstract

Intuitively, activating the standby of a k-out-of-n:G system to the working state at the last moment fully utilizes the redundancy and hence would result in a more reliable system; however, this is not always true as shown in a counterexample. This paper presents several scenarios under which, in comparison with the early switching, switching the standby to the working state at the last moment does improve system reliability more.

Suggested Citation

  • Li, Xiaohu & Fang, Rui & Mi, Jie, 2015. "On the timing to switch on the standby in k-out-of-n:G redundant systems," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 10-20.
    • Handle: RePEc:eee:stapro:v:96:y:2015:i:c:p:10-20
    DOI: 10.1016/j.spl.2014.08.022
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    References listed on IDEAS

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    1. Ji Hwan Cha & Jie Mi & Won Young Yun, 2008. "Modelling a general standby system and evaluation of its performance," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(2), pages 159-169, March.
    2. Martin A. Lariviere, 2006. "A Note on Probability Distributions with Increasing Generalized Failure Rates," Operations Research, INFORMS, vol. 54(3), pages 602-604, June.
    3. Xiaohu Li & Zhengcheng Zhang & Yudan Wu, 2009. "Some new results involving general standby systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(5), pages 632-642, September.
    4. Eryilmaz, Serkan, 2012. "On the mean residual life of a k-out-of-n:G system with a single cold standby component," European Journal of Operational Research, Elsevier, vol. 222(2), pages 273-277.
    5. Anand Paul, 2005. "A Note on Closure Properties of Failure Rate Distributions," Operations Research, INFORMS, vol. 53(4), pages 733-734, August.
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    Cited by:

    1. Bai, Senyang & Jia, Xiang & Cheng, Zhijun & Guo, Bo, 2021. "Operation strategy optimization for on-orbit satellite subsystems considering multiple active switching," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    2. Rui Fang & Xiaohu Li, 2017. "On matched active redundancy allocation for coherent systems with statistically dependent component lifetimes," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(7), pages 580-598, October.
    3. Jia, Xiang & Chen, Hao & Cheng, Zhijun & Guo, Bo, 2016. "A comparison between two switching policies for two-unit standby system," Reliability Engineering and System Safety, Elsevier, vol. 148(C), pages 109-118.

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