Asymptotic diffusion analysis of multi-server retrial queue with hyper-exponential service
A multi-server retrial queue with a hyper-exponential service time is considered in this paper. The study is performed by the method of asymptotic diffusion analysis under the condition of long delay in orbit. On the basis of the constructed diffusion process, we obtain approximations of stationar...
| Published in: | Mathematics Vol. 8, № 4. P. 531 (1-16) |
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| Main Author: | |
| Other Authors: | , |
| Format: | Article |
| Language: | English |
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| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000795382 Перейти в каталог НБ ТГУ |
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| 039 | 9 | |a 202103191352 |c 202103161744 |d VLOAD |y 202103161732 |z Александр Эльверович Гилязов | |
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| 100 | 1 | |a Moiseev, Alexander N. |9 315718 | |
| 245 | 1 | 0 | |a Asymptotic diffusion analysis of multi-server retrial queue with hyper-exponential service |c A. N. Moiseev, A. A. Nazarov, S. V. Paul |
| 336 | |a Текст | ||
| 337 | |a электронный | ||
| 504 | |a Библиогр.: 24 назв. | ||
| 520 | 3 | |a A multi-server retrial queue with a hyper-exponential service time is considered in this paper. The study is performed by the method of asymptotic diffusion analysis under the condition of long delay in orbit. On the basis of the constructed diffusion process, we obtain approximations of stationary probability distributions of the number of customers in orbit and the number of busy servers. Using simulations and numerical analysis, we estimate the accuracy and applicability area of the obtained approximations. | |
| 653 | |a гиперэкспоненциальное распределение | ||
| 653 | |a асимптотический анализ | ||
| 653 | |a очередь повторных попыток | ||
| 655 | 4 | |a статьи в журналах |9 879358 | |
| 700 | 1 | |a Nazarov, Anatoly A. |9 45813 | |
| 700 | 1 | |a Paul, Svetlana V. |9 194600 | |
| 773 | 0 | |t Mathematics |d 2020 |g Vol. 8, № 4. P. 531 (1-16) |x 2227-7390 | |
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| 856 | 4 | |u http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000795382 | |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=479658 | ||
| 908 | |a статья | ||
| 999 | |c 479658 |d 479658 | ||