%0 Journal Article %T Inspection and maintenance planning: an application of semi-Markov decision processes %+ Laboratoire Modélisation et Sûreté des Systèmes (LM2S) %A Bérenguer, Christophe %A Chu, Chengbin %A Grall, Antoine %< avec comité de lecture %@ 0956-5515 %J Journal of Intelligent Manufacturing %I Springer Verlag (Germany) %V 8 %N 5 %P 467-476 %8 1997-09 %D 1997 %R 10.1023/A:1018570518804 %Z Computer Science [cs]/Operations Research [cs.RO]Journal articles %X In this paper, we consider a system which deteriorates stochastically from one time unit to another. The state of the system, which is a continuous random variable, can be observed only by inspection. The goal of this paper is to derive a predictive maintenance policy which indicates, at each inspection and according to the observed value, whether a preventive maintenance is necessary and when the next inspection should be done. The objective is to minimize the long-run average cost incurred by inspections, preventive maintenance and unexpected breakdowns. The problem is modelled by a semi-Markov decision process. Analytical properties are derived, and based on these properties, numerical methods are constructed to compute an optimal policy. %G English %L hal-02319948 %U https://utt.hal.science/hal-02319948 %~ CNRS %~ UNIV-TROYES %~ UTT %~ UTT-LIST3N %~ LM2S-UTT