Analysis of tandem retrial queue with common orbit and MMPP incoming flow
In this paper, we consider a tandem queueing system with one orbit, MMPP incoming flow and two sequentially connected servers by the method of asymptotic diffusion analysis. We obtain the necessary condition for the existence of the steady-state regime and the limiting probability distribution of th...
| Published in: | Distributed computer and communication networks : control, computation, communications : 25th International conference, DCCN 2022, Moscow, Russia, September 26-29, 2022 : revised selected papers Vol. 13766. P. 270-283 |
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| Other Authors: | , , , |
| Format: | Book Chapter |
| Language: | English |
| Subjects: | |
| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001009329 Перейти в каталог НБ ТГУ |
| Summary: | In this paper, we consider a tandem queueing system with one orbit, MMPP incoming flow and two sequentially connected servers by the method of asymptotic diffusion analysis. We obtain the necessary condition for the existence of the steady-state regime and the limiting probability distribution of the number of calls there under the scaling regime when the retrial rate is extremely small. Then we evaluate the applicability of the asymptotic results by simulation. |
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| Bibliography: | Библиогр.: 5 назв. |
| ISBN: | 9783031232060 |