STATIONARY DISTRIBUTION OF A TANDEM QUEUE WITH ADDITIONAL FLOWS ON THE STATIONS OF THE TANDEM
A tandem queueing system consisting of a finite number of multi-server stations without buffers is analized. The input flow at the first station is a ???????????? (Markovian arrival process). The customers from this flow aim to be served at all stations of the tandem. For any station, besides transi...
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| Format: | Article |
| Language: | Russian |
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National Academy of Sciences of Belarus, the United Institute of Informatics Problems
2017-10-01
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| Series: | Informatika |
| Online Access: | https://inf.grid.by/jour/article/view/225 |
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| _version_ | 1832543194750910464 |
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| author | V. I. Klimenok |
| author_facet | V. I. Klimenok |
| author_sort | V. I. Klimenok |
| collection | DOAJ |
| description | A tandem queueing system consisting of a finite number of multi-server stations without buffers is analized. The input flow at the first station is a ???????????? (Markovian arrival process). The customers from this flow aim to be served at all stations of the tandem. For any station, besides transit customers proceeding from the previous station, an additional ???????????? flow of new customers arrives at this station directly. Customers from this flow aim to be served at this station and all subsequent stations of the tandem. The service times of customer at the stations are exponentially distributed with the service rate depending of number of the station. The algorithms for culculation of stationary distributions and the loss probabilities associated with the tandem are given. |
| format | Article |
| id | doaj-art-f80ccd746ea942f592e8317965cfd4c7 |
| institution | Kabale University |
| issn | 1816-0301 |
| language | Russian |
| publishDate | 2017-10-01 |
| publisher | National Academy of Sciences of Belarus, the United Institute of Informatics Problems |
| record_format | Article |
| series | Informatika |
| spelling | doaj-art-f80ccd746ea942f592e8317965cfd4c72025-02-03T11:51:50ZrusNational Academy of Sciences of Belarus, the United Institute of Informatics ProblemsInformatika1816-03012017-10-0103(55)1322219STATIONARY DISTRIBUTION OF A TANDEM QUEUE WITH ADDITIONAL FLOWS ON THE STATIONS OF THE TANDEMV. I. Klimenok0Белорусский государственный университетA tandem queueing system consisting of a finite number of multi-server stations without buffers is analized. The input flow at the first station is a ???????????? (Markovian arrival process). The customers from this flow aim to be served at all stations of the tandem. For any station, besides transit customers proceeding from the previous station, an additional ???????????? flow of new customers arrives at this station directly. Customers from this flow aim to be served at this station and all subsequent stations of the tandem. The service times of customer at the stations are exponentially distributed with the service rate depending of number of the station. The algorithms for culculation of stationary distributions and the loss probabilities associated with the tandem are given.https://inf.grid.by/jour/article/view/225 |
| spellingShingle | V. I. Klimenok STATIONARY DISTRIBUTION OF A TANDEM QUEUE WITH ADDITIONAL FLOWS ON THE STATIONS OF THE TANDEM Informatika |
| title | STATIONARY DISTRIBUTION OF A TANDEM QUEUE WITH ADDITIONAL FLOWS ON THE STATIONS OF THE TANDEM |
| title_full | STATIONARY DISTRIBUTION OF A TANDEM QUEUE WITH ADDITIONAL FLOWS ON THE STATIONS OF THE TANDEM |
| title_fullStr | STATIONARY DISTRIBUTION OF A TANDEM QUEUE WITH ADDITIONAL FLOWS ON THE STATIONS OF THE TANDEM |
| title_full_unstemmed | STATIONARY DISTRIBUTION OF A TANDEM QUEUE WITH ADDITIONAL FLOWS ON THE STATIONS OF THE TANDEM |
| title_short | STATIONARY DISTRIBUTION OF A TANDEM QUEUE WITH ADDITIONAL FLOWS ON THE STATIONS OF THE TANDEM |
| title_sort | stationary distribution of a tandem queue with additional flows on the stations of the tandem |
| url | https://inf.grid.by/jour/article/view/225 |
| work_keys_str_mv | AT viklimenok stationarydistributionofatandemqueuewithadditionalflowsonthestationsofthetandem |