Exact Tail Asymptotics of a Queue with LRD Input Traffic
In this work we compute the exact tail asymptotics of the stationary workload W , associated to a discretetime single server queue, with constant release rate, infinite buffer capacity, and with M / G /∞ input traffic exhibiting long-range dependence. We choose a regularly varying distribution with...
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| Published in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2014, Vol.196 (1), p.57-69 |
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| Main Authors: | , |
| Format: | Article |
| Language: | eng |
| Subjects: | |
| Online Access: | Get full text |
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| Summary: | In this work we compute the exact tail asymptotics of the stationary workload
W
, associated to a discretetime single server queue, with constant release rate, infinite buffer capacity, and with
M
/
G
/∞ input traffic exhibiting long-range dependence. We choose a regularly varying distribution with parameter α
>
1 for the general distribution
G
. We show that the exact asymptotics of the workload is a specific regularly varying function under some assumptions on the parameters. |
|---|---|
| ISSN: | 1072-3374 1573-8795 |