Transient Analysis of a k-out-of-n:G System with N-Policy, Repairmen’s Multiple Vacations, and Redundant Dependency
This paper analyzes a k-out-of-n:G repairable system with N-policy, repairmen’s multiple synchronous vacations, and redundant dependency. When there is no failed component in the system, the repairmen leave for a vacation, the duration of which follows a phase type distribution. Upon returning from...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/209653 |
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| _version_ | 1849304546882355200 |
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| author | Wenqing Wu Yinghui Tang |
| author_facet | Wenqing Wu Yinghui Tang |
| author_sort | Wenqing Wu |
| collection | DOAJ |
| description | This paper analyzes a k-out-of-n:G repairable system with N-policy, repairmen’s multiple synchronous vacations, and redundant dependency. When there is no failed component in the system, the repairmen leave for a vacation, the duration of which follows a phase type distribution. Upon returning from vacation, they should take another vacation if there are less than N failed components waiting in the system. This pattern continues until at least N failed components are waiting. Moreover, the redundant dependency which is a special kind of failure dependency is taken into account in the multicomponent system. Under such assumptions, the availability, the rate of occurrence of failures, and the reliability of the system are derived in transient regime by applying the quasi-birth-and-death process. Furthermore, the Runge-Kutta method is carried out to numerically discuss the time-dependent behavior of the system reliability measures. Finally, a special case of the system is presented to show the validity of our model. |
| format | Article |
| id | doaj-art-3bebc5e1eb8e423e95709413b578f8de |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3bebc5e1eb8e423e95709413b578f8de2025-08-20T03:55:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/209653209653Transient Analysis of a k-out-of-n:G System with N-Policy, Repairmen’s Multiple Vacations, and Redundant DependencyWenqing Wu0Yinghui Tang1Visual Computing and Virtual Reality Key Laboratory of Sichuan Province, Sichuan Normal University, Sichuan, Chengdu 610068, ChinaVisual Computing and Virtual Reality Key Laboratory of Sichuan Province, Sichuan Normal University, Sichuan, Chengdu 610068, ChinaThis paper analyzes a k-out-of-n:G repairable system with N-policy, repairmen’s multiple synchronous vacations, and redundant dependency. When there is no failed component in the system, the repairmen leave for a vacation, the duration of which follows a phase type distribution. Upon returning from vacation, they should take another vacation if there are less than N failed components waiting in the system. This pattern continues until at least N failed components are waiting. Moreover, the redundant dependency which is a special kind of failure dependency is taken into account in the multicomponent system. Under such assumptions, the availability, the rate of occurrence of failures, and the reliability of the system are derived in transient regime by applying the quasi-birth-and-death process. Furthermore, the Runge-Kutta method is carried out to numerically discuss the time-dependent behavior of the system reliability measures. Finally, a special case of the system is presented to show the validity of our model.http://dx.doi.org/10.1155/2015/209653 |
| spellingShingle | Wenqing Wu Yinghui Tang Transient Analysis of a k-out-of-n:G System with N-Policy, Repairmen’s Multiple Vacations, and Redundant Dependency Discrete Dynamics in Nature and Society |
| title | Transient Analysis of a k-out-of-n:G System with N-Policy, Repairmen’s Multiple Vacations, and Redundant Dependency |
| title_full | Transient Analysis of a k-out-of-n:G System with N-Policy, Repairmen’s Multiple Vacations, and Redundant Dependency |
| title_fullStr | Transient Analysis of a k-out-of-n:G System with N-Policy, Repairmen’s Multiple Vacations, and Redundant Dependency |
| title_full_unstemmed | Transient Analysis of a k-out-of-n:G System with N-Policy, Repairmen’s Multiple Vacations, and Redundant Dependency |
| title_short | Transient Analysis of a k-out-of-n:G System with N-Policy, Repairmen’s Multiple Vacations, and Redundant Dependency |
| title_sort | transient analysis of a k out of n g system with n policy repairmen s multiple vacations and redundant dependency |
| url | http://dx.doi.org/10.1155/2015/209653 |
| work_keys_str_mv | AT wenqingwu transientanalysisofakoutofngsystemwithnpolicyrepairmensmultiplevacationsandredundantdependency AT yinghuitang transientanalysisofakoutofngsystemwithnpolicyrepairmensmultiplevacationsandredundantdependency |