Generalized Random Sign and Alert Delay Models for Imperfect Maintenance

Yann Dijoux (1) , Olivier Gaudoin (2)

1 LM2S - Laboratoire Modélisation et Sûreté des Systèmes
2 FIGAL - Fiabilité et Géométrie Aléatoire

This paper considers the modelling of the process of Corrective and condition-based Preventive Maintenance, for complex repairable systems. In order to take into account the dependency between both types of maintenance and the possibility of imperfect maintenance, Generalized Competing Risks models have been introduced in "Doyen and Gaudoin (J Appl Probab 43:825-839, 2006)". In this paper, we study two classes of these models, the Generalized Random Sign and Generalized Alert Delay models. A Generalized Competing Risks model can be built as a generalization of a particular Usual Competing Risks model, either by using a virtual age framework or not. The models properties are studied and their parameterizations are discussed. Finally, simulation results and an application to real data are presented.

Mots clés: Reliability; Competing risks; Imperfect maintenance; Point processes; Virtual age

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Yann Dijoux, Olivier Gaudoin. Generalized Random Sign and Alert Delay Models for Imperfect Maintenance. Lifetime Data Analysis, 2014, 20 (2), pp.185-209. ⟨10.1007/s10985-013-9249-5⟩. ⟨hal-00850428⟩