On a vacation queue with two parallel severs each equipped with a stand-by
The paper studies an M/M/2 queueing system in which each server is equipped with a stand-by. The stand-by are employed only during the vacation períods of main severs. The vacation periods of the two severs are aasumed to be independent with an identical exponential distribution. The time dependent...
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| Format: | Article |
| Language: | English |
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Universidad Nacional de Colombia
1994-12-01
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| Series: | Revista Colombiana de Estadística |
| Subjects: | |
| Online Access: | http://www.revistas.unal.edu.co/index.php/estad/article/view/10013 |
| _version_ | 1818393534902829056 |
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| author | Madan K. C. |
| author_facet | Madan K. C. |
| author_sort | Madan K. C. |
| collection | DOAJ |
| description | The paper studies an M/M/2 queueing system in which each server is equipped with a stand-by. The stand-by are employed only during the vacation períods of main severs. The vacation periods of the two severs are aasumed to be independent with an identical exponential distribution. The time dependent results giving probability generating functions for the number in the system under various states have been obtained and in a particular case a known result has been derived at. The corresponding steady state results are also derived. |
| first_indexed | 2024-12-14T05:46:51Z |
| format | Article |
| id | doaj.art-c6e40a6c1aaf453989b723bafb55c656 |
| institution | Directory Open Access Journal |
| issn | 0120-1751 |
| language | English |
| last_indexed | 2024-12-14T05:46:51Z |
| publishDate | 1994-12-01 |
| publisher | Universidad Nacional de Colombia |
| record_format | Article |
| series | Revista Colombiana de Estadística |
| spelling | doaj.art-c6e40a6c1aaf453989b723bafb55c6562022-12-21T23:14:50ZengUniversidad Nacional de ColombiaRevista Colombiana de Estadística0120-17511994-12-011529-30On a vacation queue with two parallel severs each equipped with a stand-byMadan K. C.The paper studies an M/M/2 queueing system in which each server is equipped with a stand-by. The stand-by are employed only during the vacation períods of main severs. The vacation periods of the two severs are aasumed to be independent with an identical exponential distribution. The time dependent results giving probability generating functions for the number in the system under various states have been obtained and in a particular case a known result has been derived at. The corresponding steady state results are also derived.http://www.revistas.unal.edu.co/index.php/estad/article/view/10013Estadística matemáticaModelo de PoissonTransformación de laplace |
| spellingShingle | Madan K. C. On a vacation queue with two parallel severs each equipped with a stand-by Revista Colombiana de Estadística Estadística matemática Modelo de Poisson Transformación de laplace |
| title | On a vacation queue with two parallel severs each equipped with a stand-by |
| title_full | On a vacation queue with two parallel severs each equipped with a stand-by |
| title_fullStr | On a vacation queue with two parallel severs each equipped with a stand-by |
| title_full_unstemmed | On a vacation queue with two parallel severs each equipped with a stand-by |
| title_short | On a vacation queue with two parallel severs each equipped with a stand-by |
| title_sort | on a vacation queue with two parallel severs each equipped with a stand by |
| topic | Estadística matemática Modelo de Poisson Transformación de laplace |
| url | http://www.revistas.unal.edu.co/index.php/estad/article/view/10013 |
| work_keys_str_mv | AT madankc onavacationqueuewithtwoparallelseverseachequippedwithastandby |