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Asymptotic failure rate of a continuously monitored system☆☆Revised version of the paper presented at QUALITA 2003

Author

Listed:
  • Grall, A.
  • Dieulle, L.
  • Bérenguer, C.
  • Roussignol, M.

Abstract

This paper deals with a perfectly continuously monitored system which gradually and stochastically deteriorates. The system is renewed by a delayed maintenance operation, which is triggered when the measured deterioration level exceeds an alarm threshold. A mathematical model is developed to study the asymptotic behavior of the reliability function. A procedure is proposed which allows us to identify the asymptotic failure rate of the maintained system. Numerical experiments illustrate the efficiency of the proposed procedure and emphasize the relevance of the asymptotic failure rate as an interesting indicator for the evaluation of the control-limit preventive replacement policy.

Suggested Citation

  • Grall, A. & Dieulle, L. & Bérenguer, C. & Roussignol, M., 2006. "Asymptotic failure rate of a continuously monitored system☆☆Revised version of the paper presented at QUALITA 2003," Reliability Engineering and System Safety, Elsevier, vol. 91(2), pages 126-130.
    • Handle: RePEc:eee:reensy:v:91:y:2006:i:2:p:126-130
    DOI: 10.1016/j.ress.2005.03.008
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    References listed on IDEAS

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    1. Zuckerman, Dror, 1978. "Optimal replacement policy for the case where the damage process is a one-sided Lévy process," Stochastic Processes and their Applications, Elsevier, vol. 7(2), pages 141-151, June.
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