%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