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On the Modelling of Imperfect Repairs for a Continuously Monitored Gamma Wear Process Through Age Reduction

  • Sophie Mercier (a1) and I. T. Castro (a2)

Abstract

A continuously monitored system is considered, which is subject to accumulating deterioration modelled as a gamma process. The system fails when its degradation level exceeds a limit threshold. At failure, a delayed replacement is performed. To shorten the down period, a condition-based maintenance strategy is applied, with imperfect repair. Mimicking virtual age models used for recurrent events, imperfect repair actions are assumed to lower the system degradation through a first-order arithmetic reduction of age model. Under these assumptions, Markov renewal equations are obtained for several reliability indicators. Numerical examples illustrate the behaviour of the system.

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Copyright

Corresponding author

Postal address: Laboratoire de Mathématiques et de leurs Applications - Pau (UMR CNRS 5142), Université de Pau et des Pays de l'Adour, Bâtiment IPRA, Avenue de l'Université, BP 1155, F-64013 Pau cedex, France. Email address: sophie.mercier@univ-pau.fr
∗∗ Postal address: Departamento de Matemáticas, Escuela Politécnica, Universidad de Extremadura, Avenida de la Universidad 10003, Cáceres, Spain. Email address: inmatorres@unex.es

References

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On the Modelling of Imperfect Repairs for a Continuously Monitored Gamma Wear Process Through Age Reduction

  • Sophie Mercier (a1) and I. T. Castro (a2)

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