%0 Journal Article %T Sequential condition-based maintenance scheduling for a deteriorating system %+ Laboratoire Modélisation et Sûreté des Systèmes (LM2S) %+ Laboratoire d'Analyse et de Mathématiques Appliquées (LAMA) %A Dieulle, Laurence %A Bérenguer, Christophe %A Grall, Antoine %A Roussignol, Michel %< avec comité de lecture %@ 0377-2217 %J European Journal of Operational Research %I Elsevier %V 150 %N 2 %P 451-461 %8 2003-10 %D 2003 %R 10.1016/S0377-2217(02)00593-3 %Z Computer Science [cs]/Operations Research [cs.RO]Journal articles %X 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. %G English %L hal-02362239 %U https://utt.hal.science/hal-02362239 %~ CNRS %~ UNIV-TROYES %~ LAMA_UMR8050 %~ UPEC %~ UTT %~ UTT-LIST3N %~ UNIV-EIFFEL %~ UPEM-UNIVEIFFEL %~ LM2S-UTT