The M^θ /G/1/m queues with the time of service, depending on the length of the queue (in Ukrainian)

We study the M^θ /G/1/m queue with the time of service, depending on the length of the queue at the service initiation. By using Korolyuk's potential method, we derive the average duration of the busy time and the stationary distribution of the number of customers in such a system. Similar res...

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Bibliographic Details
Main Author: K. Yu. Zhernovyi
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2012-07-01
Series:Математичні Студії
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Online Access:http://matstud.org.ua/texts/2012/38_1/93-105.pdf
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Summary:We study the M^θ /G/1/m queue with the time of service, depending on the length of the queue at the service initiation. By using Korolyuk's potential method, we derive the average duration of the busy time and the stationary distribution of the number of customers in such a system. Similar results for the M^θ /G/1/m queue with one threshold of switching of service modes are obtained.
ISSN:1027-4634