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Reliability analysis of a k-out-of-n:F system under a linear degradation model with calibrations

Author

Listed:
  • Ensiyeh Nezakati

    (Ferdowsi University of Mashhad)

  • Mostafa Razmkhah

    (Ferdowsi University of Mashhad)

  • Firoozeh Haghighi

    (University of Tehran)

Abstract

A k-out-of-n:F system with both of soft and hard failures is considered such that its components degrade through internal and external factors. A linear model is considered for degradation path of each component. Reliability function of the system is derived and the effect of varying the parameters are studied on reliability function for some systems. Moreover, the effect of calibration on reliability and maximum working time of such a system is investigated. The optimal number of calibrations is also determined for some special cases.

Suggested Citation

  • Ensiyeh Nezakati & Mostafa Razmkhah & Firoozeh Haghighi, 2019. "Reliability analysis of a k-out-of-n:F system under a linear degradation model with calibrations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 71(3), pages 537-552, June.
    • Handle: RePEc:spr:aistmt:v:71:y:2019:i:3:d:10.1007_s10463-018-0650-4
    DOI: 10.1007/s10463-018-0650-4
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    References listed on IDEAS

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    1. Firoozeh Haghighi & Mikhail Nikulin, 2010. "On the linear degradation model with multiple failure modes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1499-1507.
    2. Zhibing Xu & Yili Hong & Ran Jin, 2016. "Nonlinear general path models for degradation data with dynamic covariates," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 32(2), pages 153-167, March.
    3. van Noortwijk, J.M., 2009. "A survey of the application of gamma processes in maintenance," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 2-21.
    4. Silvia Rodríguez-Narciso & J. Andrés Christen, 2016. "Optimal sequential Bayesian analysis for degradation tests," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 22(3), pages 405-428, July.
    5. Tavangar, Mahdi & Bairamov, Ismihan, 2015. "On conditional residual lifetime and conditional inactivity time of k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 225-233.
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    Cited by:

    1. Saberzadeh, Zahra & Razmkhah, Mostafa, 2022. "Reliability of degrading complex systems with two dependent components per element," Reliability Engineering and System Safety, Elsevier, vol. 222(C).

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