Asymptotic analysis of retrial queueing system M/M/1 with non-persistent customers and collisions

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Asymptotic analysis of retrial queueing system M/M/1 with non-persistent customers and collisions	658 KB	Adobe Acrobat PDF	Read	Download
DOI Доступ к ресурсу на сайте издателя			10.1007/978-3-031-09331-9_27

Title: Asymptotic analysis of retrial queueing system M/M/1 with non-persistent customers and collisions
Creator: Polkhovskaya, Anna
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Moiseeva, Svetlana P.
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Danilyuk, Elena Yu.
Date: 2022
DOI: 10.1007/978-3-031-09331-9_27
Description: A queuing system with repeated calls, one server, collisions (conflicts) of calls, H-persistence and rejections is considered. A call that found the device free occupies it, and service begins, which ends successfully if no other requests were received during it. If the server is busy, then a conflict (collision) arises between the call that have come for service and the ones being serviced, and in the general case, both calls instantly go to the orbit and repeat the attempt to successfully serve after a random time. In this article, in the event of a collision, one of the calls, for example, which was in service (on the device), goes into the orbit with probability H1, the other goes into orbit with probability H2, and with probability (1−H1) and (1−H2) respectively refuses service and leaves the system. The problem is to find asymptotic probabilities distribution of the calls number in the orbit.

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collection(s): Институт прикладной математики и компьютерных наук (c 01.09.2017 г.)
Identifier: смотреть в электронном каталоге НБ ТГУ
Type: статьи в сборниках
Source: Information Technologies and Mathematical Modelling. Queueing Theory and Applications : 20th International Conference, ITMM 2021, named after A. F. Terpugov, Tomsk, Russia, December 1–5, 2021 : revised selected papers. Cham, 2022. P. 343-355
Language: eng