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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Main Author: V. I. Klimenok
Format: Article
Language:Russian
Published: National Academy of Sciences of Belarus, the United Institute of Informatics Problems 2017-10-01
Series:Informatika
Online Access:https://inf.grid.by/jour/article/view/225
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author V. I. Klimenok
author_facet V. I. Klimenok
author_sort V. I. Klimenok
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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.
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publisher National Academy of Sciences of Belarus, the United Institute of Informatics Problems
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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