Details
| Original language | English |
|---|---|
| Title of host publication | 2010 IEEE 18th International Workshop on Quality of Service |
| Subtitle of host publication | IWQoS 2010 |
| Publication status | Published - Aug 2010 |
| Event | 2010 IEEE 18th International Workshop on Quality of Service, IWQoS 2010 - Beijing, China Duration: 16 Jun 2010 → 18 Jun 2010 |
Publication series
| Name | IEEE International Workshop on Quality of Service, IWQoS |
|---|---|
| ISSN (Print) | 1548-615X |
Abstract
Fractional Brownian motion (fBm) became known as a useful model for Internet traffic incorporating its self-similar and long-range dependent properties. In this paper we derive end-to-end performance bounds for a through flow in a network of tandem queues under fBm cross traffic. We build on a previously derived sample path envelope for fBm, which possesses aWeibullian decay of overflow probabilities.We employ the sample path envelope and the concept of leftover service curves to model the remaining service after scheduling fBm cross traffic at a system. Using composition results for tandem systems from the stochastic network calculus we derive endto- end statistical performance bounds for individual flows in networks under fBm cross traffic. We discover that these bounds grow in O (n(log n) 1/2-2H) for n systems in series where H is the Hurst parameter of the fBm cross traffic. We show numerical results on the impact of the variability and the correlation of fBm traffic on network performance.
ASJC Scopus subject areas
- Engineering(all)
- Electrical and Electronic Engineering
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2010 IEEE 18th International Workshop on Quality of Service: IWQoS 2010. 2010. 5542748 (IEEE International Workshop on Quality of Service, IWQoS).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Statistical End-to-end Performance Bounds for Networks under Long Memory FBM Cross Traffic
AU - Rizk, Amr
AU - Fidler, Markus
PY - 2010/8
Y1 - 2010/8
N2 - Fractional Brownian motion (fBm) became known as a useful model for Internet traffic incorporating its self-similar and long-range dependent properties. In this paper we derive end-to-end performance bounds for a through flow in a network of tandem queues under fBm cross traffic. We build on a previously derived sample path envelope for fBm, which possesses aWeibullian decay of overflow probabilities.We employ the sample path envelope and the concept of leftover service curves to model the remaining service after scheduling fBm cross traffic at a system. Using composition results for tandem systems from the stochastic network calculus we derive endto- end statistical performance bounds for individual flows in networks under fBm cross traffic. We discover that these bounds grow in O (n(log n) 1/2-2H) for n systems in series where H is the Hurst parameter of the fBm cross traffic. We show numerical results on the impact of the variability and the correlation of fBm traffic on network performance.
AB - Fractional Brownian motion (fBm) became known as a useful model for Internet traffic incorporating its self-similar and long-range dependent properties. In this paper we derive end-to-end performance bounds for a through flow in a network of tandem queues under fBm cross traffic. We build on a previously derived sample path envelope for fBm, which possesses aWeibullian decay of overflow probabilities.We employ the sample path envelope and the concept of leftover service curves to model the remaining service after scheduling fBm cross traffic at a system. Using composition results for tandem systems from the stochastic network calculus we derive endto- end statistical performance bounds for individual flows in networks under fBm cross traffic. We discover that these bounds grow in O (n(log n) 1/2-2H) for n systems in series where H is the Hurst parameter of the fBm cross traffic. We show numerical results on the impact of the variability and the correlation of fBm traffic on network performance.
UR - http://www.scopus.com/inward/record.url?scp=77956588651&partnerID=8YFLogxK
U2 - 10.1109/IWQoS.2010.5542748
DO - 10.1109/IWQoS.2010.5542748
M3 - Conference contribution
AN - SCOPUS:77956588651
SN - 9781424459889
T3 - IEEE International Workshop on Quality of Service, IWQoS
BT - 2010 IEEE 18th International Workshop on Quality of Service
T2 - 2010 IEEE 18th International Workshop on Quality of Service, IWQoS 2010
Y2 - 16 June 2010 through 18 June 2010
ER -