A Non-stationary Service Curve Model for Performance Analysis of Transient Phases

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Original languageEnglish
Title of host publicationProceedings - 2015 27th International Teletraffic Congress
Subtitle of host publication ITC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages116-124
Number of pages9
ISBN (electronic)9781467384223
Publication statusPublished - 25 Sept 2015
Event27th International Teletraffic Congress, ITC 2015 - Ghent, Belgium
Duration: 8 Sept 201510 Sept 2015

Publication series

NameProceedings - 2015 27th International Teletraffic Congress, ITC 2015

Abstract

Steady-state solutions for a variety of relevant queueing systems are known today, e.g., from queueing theory, effective bandwidths, and network calculus. The behavior during transient phases, on the other hand, is understood to a much lesser extent as its analysis poses significant challenges. Considering the majority of short-lived flows, transient effects that have diverse causes, such as TCP slow start, sleep scheduling in wireless networks, or signalling in cellular networks, are, however, predominant. This paper contributes a general model of regenerative service processes to characterize the transient behavior of systems. The model leads to a notion of non-stationary service curves that can be conveniently integrated into the framework of the stochastic network calculus. We derive respective models of sleep scheduling and show the significant impact of transient phases on backlogs and delays. We also consider measurement methods that estimate the service of an unknown system from observations of selected probe traffic. We find that the prevailing rate scanning method does not recover the service during transient phases well. This limitation is fundamental as it is explained by the non-convexity of nonstationary service curves. A second key difficulty is proven to be due to the super-additivity of network service processes. We devise a novel two-phase probing technique that first determines a minimal pattern of probe traffic. This probe is used to obtain an accurate estimate of the unknown transient service.

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A Non-stationary Service Curve Model for Performance Analysis of Transient Phases. / Becker, Nico; Fidler, Markus.
Proceedings - 2015 27th International Teletraffic Congress: ITC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 116-124 7277434 (Proceedings - 2015 27th International Teletraffic Congress, ITC 2015).

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Becker, N & Fidler, M 2015, A Non-stationary Service Curve Model for Performance Analysis of Transient Phases. in Proceedings - 2015 27th International Teletraffic Congress: ITC 2015., 7277434, Proceedings - 2015 27th International Teletraffic Congress, ITC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 116-124, 27th International Teletraffic Congress, ITC 2015, Ghent, Belgium, 8 Sept 2015. https://doi.org/10.1109/ITC.2015.21
Becker, N., & Fidler, M. (2015). A Non-stationary Service Curve Model for Performance Analysis of Transient Phases. In Proceedings - 2015 27th International Teletraffic Congress: ITC 2015 (pp. 116-124). Article 7277434 (Proceedings - 2015 27th International Teletraffic Congress, ITC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ITC.2015.21
Becker N, Fidler M. A Non-stationary Service Curve Model for Performance Analysis of Transient Phases. In Proceedings - 2015 27th International Teletraffic Congress: ITC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 116-124. 7277434. (Proceedings - 2015 27th International Teletraffic Congress, ITC 2015). Epub 2015 Jun 15. doi: 10.1109/ITC.2015.21
Becker, Nico ; Fidler, Markus. / A Non-stationary Service Curve Model for Performance Analysis of Transient Phases. Proceedings - 2015 27th International Teletraffic Congress: ITC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 116-124 (Proceedings - 2015 27th International Teletraffic Congress, ITC 2015).
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