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Network Calculus Analysis of a Feedback System with Random Service

Published:14 June 2016Publication History

ABSTRACT

Feedback mechanisms are integral components of network protocols and traffic control algorithms. Their performance evaluation is hard due to intricate time correlations introduced by feedback. Network calculus has been successfully applied for the analysis of feedback mechanisms in deterministic systems. However, an extension to random systems has remained an open problem for more than a decade. We present a stochastic network calculus analysis of a random system with feedback, specifically, a window flow control system with random service and fixed feedback delay. We quantify the service impediment due to the feedback mechanism by deriving statistical lower bounds on the available service, and obtain complementary upper bounds. We also discover special cases where an exact description of the service is feasible.

References

  1. A. Shekaramiz, J. Liebeherr, A. Burchard. Window flow control systems with random service. arXiv:1507.04631, July 2015.Google ScholarGoogle Scholar
  2. R. Agrawal, R. L. Cruz, C. Okino, and R. Rajan. Performance bounds for flow control protocols. IEEE/ACM Trans. Netw., 7(3):310--323, June1999. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. C.-S. Chang. Performance Guarantees in Communication Networks. Springer Verlag, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. M. Fidler. An end-to-end probabilistic network calculus with moment generating functions. In IEEE IWQoS, pages 261--270, June 2006.Google ScholarGoogle ScholarCross RefCross Ref
  5. M. A. Beck, J. B. Schmitt. Window flow control in stochastic network calculus - The general service case In Proc. ACM VALUETOOLS, January 2016. Google ScholarGoogle ScholarDigital LibraryDigital Library

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      • Published in

        cover image ACM Conferences
        SIGMETRICS '16: Proceedings of the 2016 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Science
        June 2016
        434 pages
        ISBN:9781450342667
        DOI:10.1145/2896377

        Copyright © 2016 Owner/Author

        Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 14 June 2016

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        SIGMETRICS '16 Paper Acceptance Rate28of208submissions,13%Overall Acceptance Rate459of2,691submissions,17%
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