Asymptotic Analysis of RQ-System with Feedback and Batch Poisson Arrival Under the Condition of Increasing Average Waiting Time in Orbit; Communications in Computer and Information Science; Vol. 1337 : Distributed Computer and Communication Networks: Control, Computation, Communications, DCCN 2020

Asymptotic Analysis of RQ-System with Feedback and Batch Poisson Arrival Under the Condition of Increasing Average Waiting Time in Orbit; Communications in Computer and Information Science; Vol. 1337 : Distributed Computer and Communication Networks: Control, Computation, Communications, DCCN 2020

Dades bibliogràfiques
Parent link:Communications in Computer and Information Science
Vol. 1337 : Distributed Computer and Communication Networks: Control, Computation, Communications, DCCN 2020.— 2020.— [P. 327-329]
Autor principal: Nazarov A. A. Aleksandr Anatoljevich
Autor corporatiu: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Altres autors: Rozhkova S. V. Svetlana Vladimirovna, Titarenko E. Yu. Ekaterina Yurievna
Sumari:Title screen
The paper studies the retrial queueing system M [n] /M/1 with feedback and batch Poisson arrival. Customers for the system come in groups. Not more than one customer is served at once, others wait in the orbit. Having been served, the customer leaves the system or goes to re-service or into the orbit. An asymptotic analysis method is used to find the stationary distribution of the number of customers in the orbit. A long delay between customers from the orbit is proposed as an asymptotic condition. It is proved that the asymptotic probability distribution of the number of customers in the orbit is Gaussian. As a result the parameters of this distribution are obtained. The calculations to determine the range of the method applicability are carried out. The accuracy of the approximation is compared to numerical results obtained by matrix method.
Режим доступа: по договору с организацией-держателем ресурса
Idioma:anglès
Publicat: 2020
Matèries:
электронный ресурс
труды учёных ТПУ
queuing system
RQ system
batch arrival
feedback
asymptotic analysis
массовое обслуживание
системы
RQ-системы
обратная связь
асимптотический анализ
Accés en línia:https://doi.org/10.1007/978-3-030-66242-4_26
Format: Electrònic Capítol de llibre
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=665541

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