skip to main content
article

Part II: control theory for buffer sizing

Published:01 July 2005Publication History
Skip Abstract Section

Abstract

This article describes how control theory has been used to address the question of how to size the buffers in core Internet routers. Control theory aims to predict whether the is stable, i.e. whether TCP flows are desynchronized. If flows are desynchronized then small buffers are sufficient [14 ]; the theory here shows that small buffers actually promote desynchronization--a virtuous circle.

References

  1. F. Baccelli, D.R. McDonald, and J. Reynier. A mean-field model for multiple TCP connections through a buffer implementing RED. Performance Evaluation 2002. Available as INRIA research report RR-4449.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. A. Bain. Fluid limits for congestion control in networks PhD thesis, University of Cambridge, 2003.]]Google ScholarGoogle Scholar
  3. S. Deb and R. Srikant. Rate-based versus queue-based models of congestion control. In ACM Sigmetrics 2004.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. S. Floyd. HighSpeed TCP for large congestion windows, 2003. RFC 3649, Experimental.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. C.V. Hollot, V. Misra, D. Towsley, and W.-B. Gong. On designing improved controllers for AQM routers supporting TCP flows. In IEEE Infocom 2001.]]Google ScholarGoogle Scholar
  6. F. Kelly. Fairness and stability of end-to-end congestion control. European Journal of Control 2003.]]Google ScholarGoogle Scholar
  7. T. Kelly. On engineering a stable and scalable TCP variant. Technical Report CUED/F-INFENG/TR. 435, Cambridge University Engineering Department, 2002.]]Google ScholarGoogle Scholar
  8. M.A. Marsan, M. Gatetto, P. Giaccone, E. Leonardi, E. Schiattarella, and A. Tarello. Using partial differential equations to model TCP mice and elephants in large IP networks. In IEEE Infocom 2004.]]Google ScholarGoogle Scholar
  9. V. Misra, W.-B. Gong, and D. Towsley. Fluid-based analysis of a network of AQM routers supporting TCP flows with an application to RED. ACM/SIGCOMM CCR 2000.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. G. Raina. Control theory and instability analysis of TCP. Technical report, Statistical Laboratory, Cambridge, 2005. To appear.]]Google ScholarGoogle Scholar
  11. G. Raina and D. Wischik. Buffer sizes for large multiplexers: TCP queueing theory and instability analysis. In EuroNGI 2005. Extended version to appear in Queueing Systems.]]Google ScholarGoogle Scholar
  12. R. Srikant. The Mathematics of Internet Congestion Control Birkhauser, 2004.]] Google ScholarGoogle ScholarDigital LibraryDigital Library
  13. G. Vinnicombe. On the stability of networks operating TCP-like congestion control. In Proceedings of IFAC World Congress on Automatic Control 2002.]]Google ScholarGoogle ScholarCross RefCross Ref
  14. D. Wischik and N. McKeown. Part I: Buffer sizes for core routers. ACM/SIGCOMM CCR 2005.]] Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. Part II: control theory for buffer sizing

      Recommendations

      Comments

      Login options

      Check if you have access through your login credentials or your institution to get full access on this article.

      Sign in

      Full Access

      PDF Format

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader