Умова стійкості системи обслуговування GI/G/1 з T-поверненням заявок

The author considers a GI/G/1 retrial queueing system in which delaed customers are directed to the "orbit" to be returned in a constant time T. Let a be the mean inter-arrival time, τ be the service time. Then, under the condition (T + τ) / a < 1 a steady-state regime of the system...

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Bibliographic Details
Date:2019
Main Author: Koba, E. V.
Format: Article
Language:Ukrainian
Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2019
Online Access:http://journal.iasa.kpi.ua/article/view/171346
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Journal Title:System research and information technologies

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System research and information technologies
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Summary:The author considers a GI/G/1 retrial queueing system in which delaed customers are directed to the "orbit" to be returned in a constant time T. Let a be the mean inter-arrival time, τ be the service time. Then, under the condition (T + τ) / a < 1 a steady-state regime of the system is proved to exist. It is shown that the stated condition cannot be essentially improved.