LARGE DEVIATIONS FOR THE BUSY PERIOD IN THE M/G/1 QUEUE

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Published: Nov 15, 2012
DOI: https://doi.org/10.14403/jcms.2012.25.4.747
Keywords:
M/G/1 queue, busy period, decay rate, tail asymptotics
Mathematics Subject Classification (2020):
Primary 60K25

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Jeongsim Kim
Department of Mathematics Education, Chungbuk National University

Abstract





When the service time distribution has a finite exponential moment, we present a large deviations result for the busy period distribution in the M/G/1 queue without the assumption of Abate and Whitt (1997) and Kyprianou (1971).





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Article Details

Issue
Vol. 25 No. 4 (2012)
Section
Articles