Asymptotic Analysis of MMPP/M/1 Retrial Queueing System with Unreliable Server; Communications in Computer and Information Science; Vol. 1605 : Information Technologies and Mathematical Modelling. Queueing Theory and Applications ( ITMM 2021)
| Parent link: | Communications in Computer and Information Science.— .— Cham: Springer-Verlag Vol. 1605 : Information Technologies and Mathematical Modelling. Queueing Theory and Applications ( ITMM 2021).— 2022.— P. 356-370 |
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| Streszczenie: | Title screen In this paper, we study a single-server retrial queueing system with arrival Markov Modulated Poisson Process and an exponential law of the service time on an unreliable server. If the server is idle, an arrival customer occupies it for the servicing. When the server is busy, a customer goes into the orbit and waits a random time distributed exponentially. It is assumed that the server is unreliable, so it may fail. The server’s repairing and working times are exponentially distributed. The method of asymptotic analysis is proposed to find the stationary distribution of the number of customers in the orbit. It is shown that the asymptotic probability distribution under the condition of a long delay has the Gaussian form with obtained parameters. Текстовый файл AM_Agreement |
| Język: | angielski |
| Wydane: |
2022
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| Hasła przedmiotowe: | |
| Dostęp online: | https://doi.org/10.1007/978-3-031-09331-9_28 |
| Format: | Elektroniczne Rozdział |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=676158 |
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| 200 | 1 | |a Asymptotic Analysis of MMPP/M/1 Retrial Queueing System with Unreliable Server |f N. M. Voronina, S. V. Rozhkova, Ekaterina Fedorova | |
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| 300 | |a Title screen | ||
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| 330 | |a In this paper, we study a single-server retrial queueing system with arrival Markov Modulated Poisson Process and an exponential law of the service time on an unreliable server. If the server is idle, an arrival customer occupies it for the servicing. When the server is busy, a customer goes into the orbit and waits a random time distributed exponentially. It is assumed that the server is unreliable, so it may fail. The server’s repairing and working times are exponentially distributed. The method of asymptotic analysis is proposed to find the stationary distribution of the number of customers in the orbit. It is shown that the asymptotic probability distribution under the condition of a long delay has the Gaussian form with obtained parameters. | ||
| 336 | |a Текстовый файл | ||
| 371 | 0 | |a AM_Agreement | |
| 461 | 1 | |t Communications in Computer and Information Science |c Cham |n Springer-Verlag | |
| 463 | 1 | |t Vol. 1605 : Information Technologies and Mathematical Modelling. Queueing Theory and Applications ( ITMM 2021) |o 20th International Conference, ITMM 2021, Named after A.F. Terpugov, Tomsk, Russia, December 1–5, 2021, Revised Selected Papers |v P. 356-370 |d 2022 | |
| 610 | 1 | |a Retrial queue | |
| 610 | 1 | |a Markov Modulated Poisson Process | |
| 610 | 1 | |a Asymptotic analysis | |
| 610 | 1 | |a Unreliable server | |
| 610 | 1 | |a Long delay | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Voronina |b N. M. |c Specialist in the field of informatics and computer technology |c Senior Lecturer of Tomsk Polytechnic University |f 1980- |g Natalia Mikhailovna |9 22398 | |
| 701 | 1 | |a Rozhkova |b S. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of Physical and Mathematical Sciences |f 1971- |g Svetlana Vladimirovna |9 17679 | |
| 701 | 1 | |a Fedorova |b E, A. |g Ekaterina Aleksandrovna | |
| 712 | 0 | 2 | |a Томский политехнический университет |c 1991- |9 26305 |4 570 |
| 801 | 0 | |a RU |b 63413507 |c 20241024 |g RCR | |
| 856 | 4 | |u https://doi.org/10.1007/978-3-031-09331-9_28 |z https://doi.org/10.1007/978-3-031-09331-9_28 | |
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