A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations
Based on the renewal process theory we develop a decomposition method to analyze the reliability of the repair facility in an n-unit series system with vacations. Using this approach, we study the unavailability and the mean replacement number during (0,t] of the repair facility. The method proposed...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/182975 |
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| _version_ | 1832562783768543232 |
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| author | Renbin Liu Yong Wu |
| author_facet | Renbin Liu Yong Wu |
| author_sort | Renbin Liu |
| collection | DOAJ |
| description | Based on the renewal process theory we develop a decomposition method to analyze the reliability of the repair facility in an n-unit series system with vacations. Using this approach, we study the unavailability and the mean replacement number during (0,t] of the repair facility. The method proposed in this work is novel and concise, which can make us see clearly the structures of the facility indices of a series system with an unreliable repair facility, two convolution relations. Special cases and numerical examples are given to show the validity of our method. |
| format | Article |
| id | doaj-art-009acdd0b51046278ffd1cc3a0f48a1c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-009acdd0b51046278ffd1cc3a0f48a1c2025-02-03T01:21:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/182975182975A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with VacationsRenbin Liu0Yong Wu1School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, ChinaSchool of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, ChinaBased on the renewal process theory we develop a decomposition method to analyze the reliability of the repair facility in an n-unit series system with vacations. Using this approach, we study the unavailability and the mean replacement number during (0,t] of the repair facility. The method proposed in this work is novel and concise, which can make us see clearly the structures of the facility indices of a series system with an unreliable repair facility, two convolution relations. Special cases and numerical examples are given to show the validity of our method.http://dx.doi.org/10.1155/2012/182975 |
| spellingShingle | Renbin Liu Yong Wu A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations Journal of Applied Mathematics |
| title | A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations |
| title_full | A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations |
| title_fullStr | A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations |
| title_full_unstemmed | A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations |
| title_short | A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations |
| title_sort | new approach for analyzing the reliability of the repair facility in a series system with vacations |
| url | http://dx.doi.org/10.1155/2012/182975 |
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