hal-02362239
https://utt.hal.science/hal-02362239
doi:10.1016/S0377-2217(02)00593-3
[CNRS] CNRS - Centre national de la recherche scientifique
[UNIV-TROYES] Université de Technologie de Troyes
[LAMA_UMR8050] Laboratoire d'Analyse et de Mathématiques Appliquées
[UPEC] Université Paris-Est Créteil Val-de-Marne
[UTT] UTT
[UTT-LIST3N] LIST3N - Laboratoire Informatique et Société Numérique
[UNIV-EIFFEL] Université Gustave Eiffel
[UPEM-UNIVEIFFEL] Université Paris-Est Marne-la-Vallée
[LM2S-UTT] LM2S
Sequential condition-based maintenance scheduling for a deteriorating system
Dieulle, Laurence
Bérenguer, Christophe
Grall, Antoine
Roussignol, Michel
[INFO.INFO-RO] Computer Science [cs]/Operations Research [cs.RO]
ART
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.
2003-10
en
European Journal of Operational Research
Elsevier