Tail asymptotics for the queue size distribution in a discrete-time Geo/G/1 retrial queue

Authors:
Bara Kim;Jeongsim Kim
Affiliations:
Department of Mathematics and Telecommunication Mathematics Research Center, Korea University, Seoul, Korea 136-701;Department of Mathematics Education, Chungbuk National University, Chungbuk, Korea 361-763
Venue:
Queueing Systems: Theory and Applications
Year:
2009

Citing 3
Cited 2

A survey on retrial queues

Queueing Systems: Theory and Applications
A survey of retrial queues

Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Accessible bibliography on retrial queues

Mathematical and Computer Modelling: An International Journal

Queue size distribution in a discrete-time D-BMAP/G/1 retrial queue

Computers and Operations Research
Analyzing retrial queues by censoring

Queueing Systems: Theory and Applications

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Abstract

We consider a discrete-time Geo/G/1 retrial queue where the service time distribution has a finite exponential moment. We show that the tail of the queue size distribution is asymptotically geometric. Remarkably, the result is inconsistent with the corresponding result in the continuous-time counterpart, the M/G/1 retrial queue, where the tail of the queue size distribution is asymptotically given by a geometric function multiplied by a power function.