Laurent Doyen

Modeling and Assessment of Aging and Efficiency of Corrective and Planned Preventive Maintenance

The paper presents a general framework for the simultaneous modeling and assessment of aging and maintenance efficiency, for complex repairable systems. Both corrective and planned preventive maintenance actions are considered. The proposed framework takes into account both imperfect maintenance efficiency, through for instance virtual age models, and the usual preventive maintenance policies, such as periodic, sequential, age-dependent, and failure limit. The main properties of the general model are studied, and reliability indicators are derived. The model parameters are estimated by the maximum likelihood method. Finally, we present an application to real data sets issued from electricity production systems.

Bayesian Analysis of ARA Imperfect Repair Models

This article proposes a Bayesian analysis of a class of imperfect repair models, the ARA models. The choice of prior distributions and the computation of posterior distributions are discussed. The presentation is unified for all ARA models and many kinds of possible priors. A numerical study on the quality of the Bayesian estimators is presented, as well as a comparison with the maximum likelihood estimators. Finally, the approach is applied to a real data set.

Stochastic modelling of the joint effect of preventive and corrective maintenance on repairable systems reliability

The aim of this chapter is to propose a general model of the joint effect of corrective and preventive maintenance on repairable systems. The model is denned by the failure intensity of a stochastic point process. It takes into account the possibility of dependent maintenance times with different effects. The modelling is based on a competing risks approach. The likelihood function is derived, so parameter estimation and assessment of maintenance efficiency are possible.