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Asymptotic Behavior of a Multiplexer Fed by a Long-Range Dependent Process (1997)
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| Venue: | JOURNAL OF APPLIED PROBABILITY |
| Citations: | 33 - 4 self |
BibTeX
@ARTICLE{Liu97asymptoticbehavior,
author = {Zhen Liu and Philippe Nain and Don Towsley and Zhi-Li Zhang},
title = {Asymptotic Behavior of a Multiplexer Fed by a Long-Range Dependent Process},
journal = {JOURNAL OF APPLIED PROBABILITY},
year = {1997},
volume = {36},
pages = {105--118}
}
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Abstract
In this paper we study the asymptotic behavior of the tail of the stationary backlog distribution in a single server queue with constant service capacity c, fed by the so-called "M/G/1 input process" or "Cox input process". Asymptotic lower bounds are obtained for any distribution G and asymptotic upper bounds are derived when G is a subexponential distribution. We find the bounds to be tight in some instances, e.g., G corresponding to either the Pareto or lognormal distribution and c \Gamma ae ! 1, where ae is the arrival rate to the buffer.
