Tail behavior of the queue size distribution in the M/M/m retrial queue

Authors:
Jerim Kim;Jeongsim Kim;Bara Kim
Affiliations:
Korea University, Sungbuk-ku, Seoul, Korea;Chungbuk National University, Cheongju, Chungbuk, Korea;Korea University, Sungbuk-ku, Seoul, Korea
Venue:
Proceedings of the 4th International Conference on Queueing Theory and Network Applications
Year:
2009

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Abstract

We consider an M/M/m retrial queue and investigate the tail asymptotics for the joint distribution of the number of customers in the orbit and the number of busy servers in the steady state. In addition, we illustrate the tail asymptotic behavior through numerical examples.