Delay Bounds under Arbitrary Multiplexing: When Network Calculus Leaves You in the Lurch...

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

Authors

External Research Organisations

  • University of Kaiserslautern
  • Technische Universität Darmstadt
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Details

Original languageEnglish
Title of host publicationINFOCOM 2008
Subtitle of host publication27th IEEE Communications Society Conference on Computer Communications
Pages2342-2350
Number of pages9
Publication statusPublished - 2008
Externally publishedYes
EventINFOCOM 2008: 27th IEEE Communications Society Conference on Computer Communications - Phoenix, AZ, United States
Duration: 13 Apr 200818 Apr 2008

Publication series

NameProceedings - IEEE INFOCOM
ISSN (Print)0743-166X

Abstract

Network calculus has proven as a valuable and versatile methodology for worst-case analysis of communication networks. One issue in which it is still lacking is the treatment of aggregate multiplexing, in particular if the FIFO property cannot be assumed when flows are merged. In this paper, we address the problem of bounding the delay of individual traffic flows in feed-forward networks under arbitrary multiplexing. Somewhat surprisingly, we find that direct application of network calculus results in loose bounds even in seemingly simple scenarios. The reasons for this "failure" of network calculus are discussed in detail and a method to arrive at tight delay bounds for arbitrary (aggregate) multiplexing is presented. This method is based on the solution of an optimization problem. For the special case of sink-tree networks this optimization problem is solved explicitly, thus arriving at a closed-form expression for the delay bound. Numerical experiments illustrate that in sink-tree networks the improvement over bounds based on direct application of network calculus can be considerable.

Keywords

    Arbitrary multiplexing, Feed-forward networks, Network calculus, Performance bounds, Performance evaluation

ASJC Scopus subject areas

Cite this

Delay Bounds under Arbitrary Multiplexing: When Network Calculus Leaves You in the Lurch... / Schmitt, Jens B.; Zdarsky, Frank A.; Fidler, Markus.
INFOCOM 2008: 27th IEEE Communications Society Conference on Computer Communications. 2008. p. 2342-2350 4509823 (Proceedings - IEEE INFOCOM).

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

Schmitt, JB, Zdarsky, FA & Fidler, M 2008, Delay Bounds under Arbitrary Multiplexing: When Network Calculus Leaves You in the Lurch... in INFOCOM 2008: 27th IEEE Communications Society Conference on Computer Communications., 4509823, Proceedings - IEEE INFOCOM, pp. 2342-2350, INFOCOM 2008: 27th IEEE Communications Society Conference on Computer Communications, Phoenix, AZ, United States, 13 Apr 2008. https://doi.org/10.1109/INFOCOM.2007.228
Schmitt, J. B., Zdarsky, F. A., & Fidler, M. (2008). Delay Bounds under Arbitrary Multiplexing: When Network Calculus Leaves You in the Lurch... In INFOCOM 2008: 27th IEEE Communications Society Conference on Computer Communications (pp. 2342-2350). Article 4509823 (Proceedings - IEEE INFOCOM). https://doi.org/10.1109/INFOCOM.2007.228
Schmitt JB, Zdarsky FA, Fidler M. Delay Bounds under Arbitrary Multiplexing: When Network Calculus Leaves You in the Lurch... In INFOCOM 2008: 27th IEEE Communications Society Conference on Computer Communications. 2008. p. 2342-2350. 4509823. (Proceedings - IEEE INFOCOM). doi: 10.1109/INFOCOM.2007.228
Schmitt, Jens B. ; Zdarsky, Frank A. ; Fidler, Markus. / Delay Bounds under Arbitrary Multiplexing : When Network Calculus Leaves You in the Lurch... INFOCOM 2008: 27th IEEE Communications Society Conference on Computer Communications. 2008. pp. 2342-2350 (Proceedings - IEEE INFOCOM).
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