Asymptotic Analysis of MMPP/M/1 Retrial Queueing System with Unreliable Server; Communications in Computer and Information Science; Vol. 1605 : Information Technologies and Mathematical Modelling. Queueing Theory and Applications ( ITMM 2021)

Asymptotic Analysis of MMPP/M/1 Retrial Queueing System with Unreliable Server; Communications in Computer and Information Science; Vol. 1605 : Information Technologies and Mathematical Modelling. Queueing Theory and Applications ( ITMM 2021)

Detalles Bibliográficos
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
Autor principal:	Voronina N. M. Natalia Mikhailovna
Autor Corporativo:	National Research Tomsk Polytechnic University (570)
Otros Autores:	Rozhkova S. V. Svetlana Vladimirovna, Fedorova E, A. Ekaterina Aleksandrovna
Sumario:	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
Lenguaje:	inglés
Publicado:	2022
Materias:	Retrial queue Markov Modulated Poisson Process Asymptotic analysis Unreliable server Long delay электронный ресурс труды учёных ТПУ
Acceso en línea:	https://doi.org/10.1007/978-3-031-09331-9_28
Formato:	Electrónico Capítulo de libro
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=676158

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