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Large deviations of the waiting time in the GI/G/1 queue with random order service

Authors
Kim, BaraKim, Jeongsim
Issue Date
8월-2013
Publisher
SPRINGER
Keywords
GI/G/1 queue; Random order service discipline; Large deviations; Waiting time; Busy period
Citation
QUEUEING SYSTEMS, v.74, no.4, pp.431 - 443
Indexed
SCIE
SCOPUS
Journal Title
QUEUEING SYSTEMS
Volume
74
Number
4
Start Page
431
End Page
443
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/102630
DOI
10.1007/s11134-012-9331-9
ISSN
0257-0130
Abstract
We consider the GI/G/1 queue where customers are served in random order and the service time distribution has a finite exponential moment. We derive the large deviations result for the waiting time distribution by showing that the asymptotic decay rate of the waiting time distribution is the same as that of the busy period distribution.
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