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Sequential condition-based maintenance scheduling for a deteriorating system

Abstract : This paper deals with a continuously deteriorating system which is inspected at random times sequentially chosen by help of a maintenance scheduling function. The deterioration is modeled by a Gamma process. The system is considered as failed if its condition jumps above a pre-set failure level. Two types of replacement can take place at each inspection date depending on whether the current system state is above a pre-set critical threshold but not failed or in the failed state. This paper is focused on the development of a new probabilistic method based on the semi-regenerative property of the evolution process in order to calculate the long-time expected cost per unit of time. We use a recent result generalizing the well-known theorem usually used which says that the cost criterion is equal to the ratio of the expected cost on a renewal cycle over the expected cycle duration. Numerical experiments show that there exists a set of parameters (the critical threshold and the parameters of the maintenance scheduling function) which lead to a minimal cost.
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Submitted on : Wednesday, November 13, 2019 - 6:03:37 PM
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Laurence Dieulle, Christophe Bérenguer, Antoine Grall, Michel Roussignol. Sequential condition-based maintenance scheduling for a deteriorating system. European Journal of Operational Research, Elsevier, 2003, 150 (2), pp.451-461. ⟨10.1016/S0377-2217(02)00593-3⟩. ⟨hal-02362239⟩



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