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

Authors :
Jeongsim Kim
Source :
Journal of the Chungcheong Mathematical Society. 25:747-752
Publication Year :
2012
Publisher :
Chungcheong Mathematical Society, 2012.

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).

Subjects

Subjects :
D/M/1 queue
Combinatorics
M/G/k queue
Burke's theorem
M/G/1 queue
M/D/c queue
M/M/c queue
G/G/1 queue
M/M/∞ queue
Mathematics

Details

ISSN :
12263524
Volume :
25
Database :
OpenAIRE
Journal :
Journal of the Chungcheong Mathematical Society
Accession number :
edsair.doi...........37db61b0995a9fa869ecae8e26d4c794
Full Text :
https://doi.org/10.14403/jcms.2012.25.4.747
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