The Gated Infinite-Server Queue with Unbounded Service Times and Heavy Traffic

The Gated Infinite-Server Queue with Unbounded Service Times and Heavy Traffic A queueing system with infinitely many servers is considered where access of customers to service is controlled by a gate. The gate is open only if all servers are free. Customers are served in stages. We study the asymptotic behavior of the number of customers served in a stage and of the stage duration in the heavy traffic regime in the case where the service time distribution belongs to the attraction domain of a double exponential law. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

The Gated Infinite-Server Queue with Unbounded Service Times and Heavy Traffic

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Publisher
Springer Journals
Copyright
Copyright © 2003 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/A:1026170700588
Publisher site
See Article on Publisher Site

Abstract

A queueing system with infinitely many servers is considered where access of customers to service is controlled by a gate. The gate is open only if all servers are free. Customers are served in stages. We study the asymptotic behavior of the number of customers served in a stage and of the stage duration in the heavy traffic regime in the case where the service time distribution belongs to the attraction domain of a double exponential law.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 3, 2004

References

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