Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916103124418560 |
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| author | Mercier, Sophie Castro, Inma T. |
| author_facet | Mercier, Sophie Castro, Inma T. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12267 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system Mercier, Sophie Castro, Inma T. Optimization and Control Probability 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. |
| title | Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system |
| topic | Optimization and Control Probability |
| url | https://arxiv.org/abs/2401.12267 |