Asymptotic failure rate of a continuously monitored system

Antoine Grall (1) , Laurence Dieulle (1) , Christophe Bérenguer (1) , Michel Roussignol (2)

1 M2S - Modélisation et Sûreté des Systèmes
2 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

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.

Domains: Computer Science [cs]; Performance [cs.PF]

Antoine Grall, Laurence Dieulle, Christophe Bérenguer, Michel Roussignol. Asymptotic failure rate of a continuously monitored system. Reliability Engineering and System Safety, 2006, 91 (2), pp.126-130. ⟨10.1016/j.ress.2005.03.008⟩. ⟨hal-02303413⟩