Imperfect repair models with planned preventive maintenance

Laurent Doyen (1) , Olivier Gaudoin (2)

1 SAGAG - Statistique Appliquée et de Géométrie Aléatoire de Grenoble
2 SMS - Statistique et Modélisation Stochatisque

The aim of this paper is to present a general framework for the simultaneous modelling and assessment of the efficiency of corrective maintenance actions and planned preventive maintenance actions for complex repairable systems. The framework proposed generalizes classical Kijima's virtual age models and involves a large number of existing models where preventive maintenance is done at fixed time, age or failure intensity. The main features of this general modelling are derived: distribution of the next failure time, marginal and joint distribution of time and type of next maintenance, likelihood function. Several particular cases of maintenance effects are proposed, based on a virtual age idea. Finally, an application to real data sets issued from electricity production systems is presented.

Mots clés: repairable systems reliability; preventive maintenance; repair efficiency; ageing; virtual age; point processes

Domaines: Applications [stat.AP]

Laurent Doyen, Olivier Gaudoin. Imperfect repair models with planned preventive maintenance. MMR 2009 - 6th International Conference on Mathematical Methods in Reliability, Jun 2009, Moscou, Russia. 10 p. ⟨hal-00411717⟩