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

  • Ensiyeh Nezakati
  • Mostafa RazmkhahEmail author
  • Firoozeh Haghighi


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.


Calibration Soft failure Hard failure Internal degradation External degradation Reliability Sensitivity analysis Optimization 



The authors express their sincere thanks to anonymous referees for their useful comments and constructive criticisms on the original version of this manuscript, which led to this considerably improved version.


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Copyright information

© The Institute of Statistical Mathematics, Tokyo 2018

Authors and Affiliations

  • Ensiyeh Nezakati
    • 1
  • Mostafa Razmkhah
    • 1
    Email author
  • Firoozeh Haghighi
    • 2
  1. 1.Department of Statistics, Faculty of Mathematical SciencesFerdowsi University of MashhadMashhadIran
  2. 2.School of Mathematics, Statistics and Computer Science, College of ScienceUniversity of TehranTehranIran

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