Optimal number of imperfect repairs for deteriorating systems
A periodic maintenance policy through either an imperfect repair or replacement is proposed for a repairable system. It is assumed that the system is subject to an inverse Gaussian degradation process. The effect of imperfect repair is modelled through both arithmetic reduction of degradation and ar...
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| Format: | Article |
| Language: | English |
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Iran University of Science & Technology
2025-06-01
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| Series: | International Journal of Industrial Engineering and Production Research |
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| Online Access: | http://ijiepr.iust.ac.ir/article-1-2072-en.pdf |
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| author | Khatereh Rajinia Mostafa Razmkhah |
| author_facet | Khatereh Rajinia Mostafa Razmkhah |
| author_sort | Khatereh Rajinia |
| collection | DOAJ |
| description | A periodic maintenance policy through either an imperfect repair or replacement is proposed for a repairable system. It is assumed that the system is subject to an inverse Gaussian degradation process. The effect of imperfect repair is modelled through both arithmetic reduction of degradation and arithmetic reduction of age approaches. The degradation level of the system is measured after each imperfect repair in periodic time intervals. The system is replaced if its deterioration level exceeds a pre-determined technical threshold or at the nth inspection time, whichever occurs first. The main goal of the paper is to find the optimal value of n based on expected cost rate function. Some theoretical results are derived and then the optimal policy is obtained numerically. The effect of imperfect repair, the inspection time interval, the value of technical degradation threshold, and the costs of interest are all studied on the optimal policy. |
| format | Article |
| id | doaj-art-7320032a2e4447d0967da339afe925b6 |
| institution | Kabale University |
| issn | 2008-4889 2345-363X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Iran University of Science & Technology |
| record_format | Article |
| series | International Journal of Industrial Engineering and Production Research |
| spelling | doaj-art-7320032a2e4447d0967da339afe925b62025-08-20T03:53:57ZengIran University of Science & TechnologyInternational Journal of Industrial Engineering and Production Research2008-48892345-363X2025-06-013622938Optimal number of imperfect repairs for deteriorating systemsKhatereh Rajinia0Mostafa Razmkhah1 Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran A periodic maintenance policy through either an imperfect repair or replacement is proposed for a repairable system. It is assumed that the system is subject to an inverse Gaussian degradation process. The effect of imperfect repair is modelled through both arithmetic reduction of degradation and arithmetic reduction of age approaches. The degradation level of the system is measured after each imperfect repair in periodic time intervals. The system is replaced if its deterioration level exceeds a pre-determined technical threshold or at the nth inspection time, whichever occurs first. The main goal of the paper is to find the optimal value of n based on expected cost rate function. Some theoretical results are derived and then the optimal policy is obtained numerically. The effect of imperfect repair, the inspection time interval, the value of technical degradation threshold, and the costs of interest are all studied on the optimal policy.http://ijiepr.iust.ac.ir/article-1-2072-en.pdfcost functioninverse gaussian processmaintenancereduction of degradation (age) model |
| spellingShingle | Khatereh Rajinia Mostafa Razmkhah Optimal number of imperfect repairs for deteriorating systems International Journal of Industrial Engineering and Production Research cost function inverse gaussian process maintenance reduction of degradation (age) model |
| title | Optimal number of imperfect repairs for deteriorating systems |
| title_full | Optimal number of imperfect repairs for deteriorating systems |
| title_fullStr | Optimal number of imperfect repairs for deteriorating systems |
| title_full_unstemmed | Optimal number of imperfect repairs for deteriorating systems |
| title_short | Optimal number of imperfect repairs for deteriorating systems |
| title_sort | optimal number of imperfect repairs for deteriorating systems |
| topic | cost function inverse gaussian process maintenance reduction of degradation (age) model |
| url | http://ijiepr.iust.ac.ir/article-1-2072-en.pdf |
| work_keys_str_mv | AT khaterehrajinia optimalnumberofimperfectrepairsfordeterioratingsystems AT mostafarazmkhah optimalnumberofimperfectrepairsfordeterioratingsystems |