AN APPROXIMATION FOR THE QUEUE LENGTH DISTRIBUTION IN A MULTI-SERVER RETRIAL QUEUE

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Published: Feb 15, 2016
DOI: https://doi.org/10.14403/jcms.2016.29.1.95
Keywords:
M=M=m retrial queue, queue length distribution, Lerch transcendent
Mathematics Subject Classification (2020):
Primary 60K25

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Jeongsim Kim
Department of Mathematics Education, Chungbuk National University

Abstract





Multi-server queueing systems with retrials are widely used to model problems in a call center. We present an explicit formula for an approximation of the queue length distribution in a multi-server retrial queue, by using the Lerch transcendent. Accuracy of our approximation is shown in the numerical examples.





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Article Details

Issue
Vol. 29 No. 1 (2016)
Section
Articles