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Modelling a general standby system and evaluation of its performance

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  • Ji Hwan Cha
  • Jie Mi
  • Won Young Yun

Abstract

Redundancy or standby is a technique that has been widely applied to improving system reliability and availability in system design. In this paper, a general method for modelling standby system is proposed and system performance measures are derived. It is shown that the proposed general standby system includes the cases of cold, hot and warm standby systems with units of exponential distribution, which were studied in the literature, as special cases. An optimal allocation problem for a standby system is also discussed. Copyright © 2007 John Wiley & Sons, Ltd.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:apsmbi:v:24:y:2008:i:2:p:159-169
    DOI: 10.1002/asmb.704
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    Cited by:

    1. Valdés, José E. & Arango, Gerardo & Zequeira, Romulo I. & Brito, Gerandy, 2010. "Some stochastic comparisons in series systems with active redundancy," Statistics & Probability Letters, Elsevier, vol. 80(11-12), pages 945-949, June.
    2. Guilani, Pardis Pourkarim & Ardakan, Mostafa Abouei & Dobani, Ehsan Ramezani, 2022. "Optimal component sequence in heterogeneous 1-out-of-N mixed RRAPs," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    3. Peng, Rui & Zhai, Qingqing & Xing, Liudong & Yang, Jun, 2014. "Reliability of demand-based phased-mission systems subject to fault level coverage," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 18-25.
    4. Zhao, Xian & Chai, Xiaofei & Sun, Jinglei & Qiu, Qingan, 2021. "Optimal bivariate mission abort policy for systems operate in random shock environment," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    5. Kundu, Pradip & Hazra, Nil Kamal & Nanda, Asok K., 2016. "Reliability study of a coherent system with single general standby component," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 25-33.
    6. 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).
    7. Mohammad N. Juybari & Pardis Pourkarim Guilani & Mostafa Abouei Ardakan, 2022. "Bi-objective sequence optimization in reliability problems with a matrix-analytic approach," Annals of Operations Research, Springer, vol. 312(1), pages 275-304, May.
    8. Hazra, Nil Kamal & Nanda, Asok K., 2015. "A note on warm standby system," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 30-38.
    9. 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.
    10. Zhao, Xian & Chai, Xiaofei & Sun, Jinglei & Qiu, Qingan, 2021. "Joint optimization of mission abort and component switching policies for multistate warm standby systems," Reliability Engineering and System Safety, Elsevier, vol. 212(C).
    11. Guilani, Pardis Pourkarim & Juybari, Mohammad N. & Ardakan, Mostafa Abouei & Kim, Heungseob, 2020. "Sequence optimization in reliability problems with a mixed strategy and heterogeneous backup scheme," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    12. Yun, Won Young & Cha, Ji Hwan, 2010. "Optimal design of a general warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 880-886.
    13. 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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