Performance measures for a deteriorating system subject to imperfect maintenance and delayed repairs

I. T. Castro (1) , Sophie Mercier (2)

1 Departamento de Matemáticas - Universidad de Extremadura
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

A system subject to an accumulating deterioration and continuous monitoring is analyzed in this article. The system deterioration is modeled using a gamma process, and the system is considered as failed when its degradation level exceeds a failure threshold. The maintenance team lasts a fixed time to start the maintenance actions. To prevent downtime, an alert signal is sent in advance to the maintenance team when the degradation level of the system exceeds a preventive threshold. At the maintenance time, three maintenance actions can be performed: preventive replacement, corrective replacement, and imperfect repair. We assume that the repair is imperfect, in a sense that it reduces a part of the degradation accumulated by the system from the last maintenance action. Under these assumptions, integral equations fulfilled by different performance measures are obtained. Numerical examples are given that illustrate the analytical results.

Keywords: Imperfect maintenance; gamma process; semi-Markov process; Markov renewal equation; delayed repair; maintenance policy; Monte Carlo method

Domains: Probability [math.PR]

I. T. Castro, Sophie Mercier. Performance measures for a deteriorating system subject to imperfect maintenance and delayed repairs. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2016, 230 (4), pp.364-377. ⟨10.1177/1748006X16641789⟩. ⟨hal-01331121⟩