Asymptotic analysis of MMPP/M/1 retrial queueing system with unreliable server

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DOI Доступ к ресурсу на сайте издателя			10.1007/978-3-031-09331-9_28

Title: Asymptotic analysis of MMPP/M/1 retrial queueing system with unreliable server
Creator: Voronina, N. M.
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Rozhkova, Svetlana V.
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Fedorova, Ekaterina A.
Date: 2022
DOI: 10.1007/978-3-031-09331-9_28
Description: 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.

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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. 356-370
Language: eng

Created: 09-06-2023

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