Approximation of the two-dimensional output process of a retrial queue with MMPP input

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Approximation of the two-dimensional output process of a retrial queue with MMPP input	276 KB	Adobe Acrobat PDF	Read	Download
DOI Доступ к ресурсу на сайте издателя			10.1007/978-3-030-97110-6_26

Title: Approximation of the two-dimensional output process of a retrial queue with MMPP input
Creator: Blaginin, Alexey L.
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Lapatin, Ivan L.
Date: 2022
DOI: 10.1007/978-3-030-97110-6_26
Description: In this paper, we review a retrial queue with MMPP input and two-way communication. Incoming requests arriving at the server and finding it busy join the source of retrial calls and try to enter the server again after some exponentially distributed time. While idle, the server makes outgoing calls and serves them with another delay parameter. MMPP (Markov Modulated Poisson Process) is an input process in which control is driven by a continuous Markov chain. Changing its state entails a change in the intensity of the input process. For this model, we present an asymptotic approximation of the two-dimensional characteristic function under the condition of a long delay of requests in the source of retrial calls. For this approximation, we carried out a numerical experiment, where asymptotic results were compared to computations obtained via simulation.

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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: Distributed computer and communication networks : 24th International Conference, DCCN 2021 Moscow, Russia, September 20–24, 2021 : revised selected papers. Cham, 2022. P. 333-345
Language: eng

Created: 16-12-2022

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