Two-level stochastic fluid tandem queuing model for burst impact analysis

Yong Huang, Yong Liu, Weibo Gong, Don Towsley

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Queuing analysis is important in providing guiding principles for packet network analysis. Stochastic fluid queueing models have been widely used as burst scale models for high speed communication networks. In this paper, we propose a novel two-level Markov On-Off source model to model the burstiness of a packet stream at different time scales. Analytical results are obtained to reveal the impact of traffic burstiness at two levels on the queue lengths in a tandem queue system. Our method combines the modeling power of the Poisson processes with that of stochastic differential equations to handle the complex interactions between the packet arrivals and the queue content. Our results for the tandem queuing network could be used to further justify the packet spacing scheme in helping deploying small buffer routers.

Original languageEnglish (US)
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Pages3042-3047
Number of pages6
DOIs
StatePublished - 2007
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: Dec 12 2007Dec 14 2007

Other

Other46th IEEE Conference on Decision and Control 2007, CDC
CountryUnited States
CityNew Orleans, LA
Period12/12/0712/14/07

Fingerprint

Fluids
Packet networks
Electric network analysis
Routers
Telecommunication networks
Buffers
Differential equations

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality
  • Chemical Health and Safety

Cite this

Huang, Y., Liu, Y., Gong, W., & Towsley, D. (2007). Two-level stochastic fluid tandem queuing model for burst impact analysis. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC (pp. 3042-3047). [4434874] https://doi.org/10.1109/CDC.2007.4434874

Two-level stochastic fluid tandem queuing model for burst impact analysis. / Huang, Yong; Liu, Yong; Gong, Weibo; Towsley, Don.

Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. p. 3042-3047 4434874.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Huang, Y, Liu, Y, Gong, W & Towsley, D 2007, Two-level stochastic fluid tandem queuing model for burst impact analysis. in Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC., 4434874, pp. 3042-3047, 46th IEEE Conference on Decision and Control 2007, CDC, New Orleans, LA, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434874
Huang Y, Liu Y, Gong W, Towsley D. Two-level stochastic fluid tandem queuing model for burst impact analysis. In Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. p. 3042-3047. 4434874 https://doi.org/10.1109/CDC.2007.4434874
Huang, Yong ; Liu, Yong ; Gong, Weibo ; Towsley, Don. / Two-level stochastic fluid tandem queuing model for burst impact analysis. Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC. 2007. pp. 3042-3047
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