Analytical properties of an imperfect repair model and application in preventive maintenance scheduling

Dinh Tuan Nguyen 1 Yann Dijoux 1 Mitra Fouladirad 1
1 LM2S - Laboratoire Modélisation et Sûreté des Systèmes
ICD - Institut Charles Delaunay
Abstract : The paper considers repairable systems under imperfect repair. The failure rate of a new system is assumed to follow a Weibull distribution and the repair efficiency is characterized by a Kijima type II virtual age model named Arithmetic Reduction of Age with infinite memory. An analytical approach to obtain the distribution of the inter-failure times is presented. The existence of a stationary regime is highlighted and the limiting distributions are explicitly derived. In this context, an optimal age-based preventive maintenance policy can be implemented. Three approaches are proposed, considering a static, a dynamic or a failure limit policy. Numerical simulations are presented to illustrate the policies.
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Journal articles
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https://hal-utt.archives-ouvertes.fr/hal-02297631
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Submitted on : Thursday, September 26, 2019 - 12:01:52 PM
Last modification on : Friday, September 27, 2019 - 1:27:40 AM

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Dinh Tuan Nguyen, Yann Dijoux, Mitra Fouladirad. Analytical properties of an imperfect repair model and application in preventive maintenance scheduling. European Journal of Operational Research, Elsevier, 2017, 256 (2), pp.439-453. ⟨10.1016/j.ejor.2016.06.026⟩. ⟨hal-02297631⟩

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