A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable Queue
This paper presents a decomposition technique for the service station reliability in a discrete-time repairable GeomX/G/1 queueing system, in which the server takes exhaustive service and multiple adaptive delayed vacation discipline. Using such a novel analytic technique, some important reliability...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/821684 |
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| _version_ | 1849307002323337216 |
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| author | Renbin Liu Yinghui Tang |
| author_facet | Renbin Liu Yinghui Tang |
| author_sort | Renbin Liu |
| collection | DOAJ |
| description | This paper presents a decomposition technique for the service station reliability in a discrete-time repairable GeomX/G/1 queueing system, in which the server takes exhaustive service and multiple adaptive delayed vacation discipline. Using such a novel analytic technique, some important reliability indices and reliability relation equations of the service station are derived. Furthermore, the structures of the service station indices are also found. Finally, special cases and numerical examples validate the derived results and show that our analytic technique is applicable to reliability analysis of some complex discrete-time repairable bulk arrival queueing systems. |
| format | Article |
| id | doaj-art-2555378e32b744b4a46ae4e7946ce0e4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2555378e32b744b4a46ae4e7946ce0e42025-08-20T03:54:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/821684821684A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable QueueRenbin Liu0Yinghui Tang1School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, ChinaSchool of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, ChinaThis paper presents a decomposition technique for the service station reliability in a discrete-time repairable GeomX/G/1 queueing system, in which the server takes exhaustive service and multiple adaptive delayed vacation discipline. Using such a novel analytic technique, some important reliability indices and reliability relation equations of the service station are derived. Furthermore, the structures of the service station indices are also found. Finally, special cases and numerical examples validate the derived results and show that our analytic technique is applicable to reliability analysis of some complex discrete-time repairable bulk arrival queueing systems.http://dx.doi.org/10.1155/2013/821684 |
| spellingShingle | Renbin Liu Yinghui Tang A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable Queue Journal of Applied Mathematics |
| title | A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable Queue |
| title_full | A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable Queue |
| title_fullStr | A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable Queue |
| title_full_unstemmed | A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable Queue |
| title_short | A Novel Analytic Technique for the Service Station Reliability in a Discrete-Time Repairable Queue |
| title_sort | novel analytic technique for the service station reliability in a discrete time repairable queue |
| url | http://dx.doi.org/10.1155/2013/821684 |
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