Asymptotic Analysis of MMPP/M/1 Retrial Queueing System with Unreliable Server

Asymptotic Analysis of MMPP/M/1 Retrial Queueing System with Unreliable Server

Bibliographic Details
Parent link:Communications in Computer and Information Science.— .— Cham: Springer-Verlag
Vol. 1605 : Information Technologies and Mathematical Modelling. Queueing Theory and Applications ( ITMM 2021).— 2022.— P. 356-370
Main Author: Voronina N. M. Natalia Mikhailovna
Corporate Author: National Research Tomsk Polytechnic University (570)
Other Authors: Rozhkova S. V. Svetlana Vladimirovna, Fedorova E, A. Ekaterina Aleksandrovna
Summary:Title screen
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.
Текстовый файл
AM_Agreement
Published: 2022
Subjects:
Retrial queue
Markov Modulated Poisson Process
Asymptotic analysis
Unreliable server
Long delay
электронный ресурс
труды учёных ТПУ
Online Access:https://doi.org/10.1007/978-3-031-09331-9_28
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=676158

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