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

Bibliografiske detaljer
Parent link:Communications in Computer and Information Science
Vol. 1337 : Distributed Computer and Communication Networks: Control, Computation, Communications, DCCN 2020.— 2020.— [P. 327-329]
Hovedforfatter: Nazarov A. A. Aleksandr Anatoljevich
Institution som forfatter: Национальный исследовательский Томский политехнический университет Школа базовой инженерной подготовки Отделение математики и информатики
Andre forfattere: Rozhkova S. V. Svetlana Vladimirovna, Titarenko E. Yu. Ekaterina Yurievna
Summary: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
Sprog:engelsk
Udgivet: 2020
Fag:
электронный ресурс
труды учёных ТПУ
queuing system
RQ system
batch arrival
feedback
asymptotic analysis
массовое обслуживание
системы
RQ-системы
обратная связь
асимптотический анализ
Online adgang:https://doi.org/10.1007/978-3-030-66242-4_26
Format: Electronisk Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=665541

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