Lévy-driven GPS queues with heavy-tailed input

Details

Serval ID
serval:BIB_75A1B3D6E166
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Lévy-driven GPS queues with heavy-tailed input
Journal
Queueing Systems
Author(s)
Dȩbicki K., Liu P., Mandjes M., Sierpińska-Tułacz I.
ISSN
0257-0130
1572-9443
Publication state
Published
Issued date
04/2017
Peer-reviewed
Oui
Volume
85
Number
3-4
Pages
249-267
Language
english
Abstract
In this paper, we derive exact large buffer asymptotics for a two-class generalized processor sharing (GPS) model, under the assumption that the input traffic streams generated by both classes correspond to heavy-tailed L,vy processes. Four scenarios need to be distinguished, which differ in terms of (i) the level of heavy-tailedness of the driving L,vy processes as well as (ii) the values of the corresponding mean rates relative to the GPS weights. The derived results are illustrated by two important special cases, in which the queues' inputs are modeled by heavy-tailed compound Poisson processes and by -stable L,vy motions.
Keywords
Management Science and Operations Research, Computational Theory and Mathematics, Computer Science Applications, Management Science and Operations Research, Computational Theory and Mathematics, Computer Science Applications
Web of science
Create date
18/10/2016 11:15
Last modification date
21/08/2019 5:15
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