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Note on the strong limiting behaviour of busy periods in GI/G/1 queues under heavy traffic

Part of: Special processes Limit theorems

Published online by Cambridge University Press:  14 July 2016

Josef Steinebach  and
Hanqin Zhang
Josef Steinebach*
Affiliation:
Philipps University, Marburg
Hanqin Zhang*
Affiliation:
Philipps University, Marburg
*
Postal address for both authors: Department of Mathematics, Philipps University, Hans-Meerwein-Strasse, DW-3550, Marburg, Germany.
Postal address for both authors: Department of Mathematics, Philipps University, Hans-Meerwein-Strasse, DW-3550, Marburg, Germany.
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Abstract

In this note, the strong limiting behaviour of busy periods in GI/G/1 queues is studied under the condition that the traffic intensity equals unity.

Keywords

BUSY CYCLESTOPPING TIME

MSC classification

Primary: 60K25: Queueing theory
Secondary: 60F15: Strong theorems 60K05: Renewal theory
Type
Short Communications
Information
Journal of Applied Probability , Volume 30 , Issue 2 , June 1993 , pp. 483 - 488
Copyright
Copyright © Applied Probability Trust 1993 

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Footnotes

∗

On leave from the Institute of Applied Mathematics, Academia Sinica, Beijing, China. Research supported by DAAD-K.C. Wong Fellowship.

References

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