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arXiv · 2401.12267

Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system

Sophie Mercier·Inma T. Castro
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Abstract

This paper compares two imperfect repair models for a degrading system, with deterioration level modeled by a non homogeneous gamma process. Both models consider instantaneous and periodic repairs. The first model assumes that a repair reduces the degradation of the system accumulated from the last maintenance action. The second model considers a virtual age model and assumes that a repair reduces the age accumulated by the system since the last maintenance action. Stochastic comparison results between the two resulting processes are obtained. Furthermore, a specific case is analyzed, where the two repair models provide identical expected deterioration levels at maintenance times. Finally, two optimal maintenance strategies are explored, considering the two models of repair.

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Sophie Mercier, Inma T. Castro. 2024-01-22. Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system. https://arxiv.org/abs/2401.12267

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