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Second-Order Tail Behavior of the Busy Period Distribution of Certain GI/G/1 Queues
Authors:Baltrūnas  A.
Affiliation:(1) Institute of Mathematics and Informatics, Akademijos 4, LT-2600 Vilnius, Lithuania
Abstract:
We consider the stable GI/G/1 queue in which the service time distribution has a dominated-varying tail. Under simple assumptions, we obtain the first- and second-order tail behavior of the busy period distribution in this queue.
Keywords:GI/G/1 queue  busy periods  subexponential distributions  dominated variation
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