Analysis of Repairable Geo/G/1 Queues with Negative Customers
We consider discrete-time Geo/G/1 queues with negative customers and a repairable server. The server is subject to failure due to a negative customer arrival. As soon as a negative customer arrives at a system, the server fails and one positive (ordinary) customer is forced to leave. At a failure in...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/350621 |
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| _version_ | 1832552137299591168 |
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| author | Doo Ho Lee Kilhwan Kim |
| author_facet | Doo Ho Lee Kilhwan Kim |
| author_sort | Doo Ho Lee |
| collection | DOAJ |
| description | We consider discrete-time Geo/G/1 queues with negative customers and a repairable server. The server is subject to failure due to a negative customer arrival. As soon as a negative customer arrives at a system, the server fails and one positive (ordinary) customer is forced to leave. At a failure instant, the server is turned off and the repair process immediately begins. We construct the mathematical model and present the probability generating functions of the system size distribution and the FCFS sojourn time distribution. Finally, some numerical examples are given to show the influence of negative customer arrival on the performance measures of the system. |
| format | Article |
| id | doaj-art-12505b7122004da4ac44410cdeb75c22 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-12505b7122004da4ac44410cdeb75c222025-02-03T05:59:28ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/350621350621Analysis of Repairable Geo/G/1 Queues with Negative CustomersDoo Ho Lee0Kilhwan Kim1Software Contents Research Lab, ETRI, Daejeon 305-700, Republic of KoreaDepartment of Management Engineering, Sangmyung University, Chungnam 330-720, Republic of KoreaWe consider discrete-time Geo/G/1 queues with negative customers and a repairable server. The server is subject to failure due to a negative customer arrival. As soon as a negative customer arrives at a system, the server fails and one positive (ordinary) customer is forced to leave. At a failure instant, the server is turned off and the repair process immediately begins. We construct the mathematical model and present the probability generating functions of the system size distribution and the FCFS sojourn time distribution. Finally, some numerical examples are given to show the influence of negative customer arrival on the performance measures of the system.http://dx.doi.org/10.1155/2014/350621 |
| spellingShingle | Doo Ho Lee Kilhwan Kim Analysis of Repairable Geo/G/1 Queues with Negative Customers Journal of Applied Mathematics |
| title | Analysis of Repairable Geo/G/1 Queues with Negative Customers |
| title_full | Analysis of Repairable Geo/G/1 Queues with Negative Customers |
| title_fullStr | Analysis of Repairable Geo/G/1 Queues with Negative Customers |
| title_full_unstemmed | Analysis of Repairable Geo/G/1 Queues with Negative Customers |
| title_short | Analysis of Repairable Geo/G/1 Queues with Negative Customers |
| title_sort | analysis of repairable geo g 1 queues with negative customers |
| url | http://dx.doi.org/10.1155/2014/350621 |
| work_keys_str_mv | AT dooholee analysisofrepairablegeog1queueswithnegativecustomers AT kilhwankim analysisofrepairablegeog1queueswithnegativecustomers |