AN APPROXIMATION FOR THE DISTRIBUTION OF THE NUMBER OF RETRYING CUSTOMERS IN AN M/G/1 RETRIAL QUEUE

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Published: Aug 15, 2014
DOI: https://doi.org/10.14403/jcms.2014.27.3.405
Keywords:
M/G/1 retrial queue, tail asymptotics, Lerch transcend
Mathematics Subject Classification (2020):
Primary 60K25

Main Article Content

Jeongsim Kim
Department of Mathematics Education, Chungbuk National University
Jerim Kim
Department of Business Administration, Yong In University

Abstract





Queueing systems with retrials are widely used to model many problems in call centers, telecommunication networks, and in daily life. We present a very accurate but simple approximate formula for the distribution of the number of retrying customers in the M/G/1 retrial queue.





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Article Details

Issue
Vol. 27 No. 3 (2014)
Section
Articles