Abstract
We discuss the modelling of FAST TCP and prove four stability results. Using the traditional continuous-time flow model, we prove, for general networks, that FAST TCP is globally asymptotically stable when there is no feedback delay and that it is locally asymptotically stable in the presence of feedback delay provided a local stability condition is satisfied. We present an experiment on an emulated network in which the local stability condition is violated. While the theory predicts instability, the experiment shows otherwise. We believe this is because the continuous-time model ignores the stabilizing effect of self-clocking. Using a discrete-time model that captures this effect, we show that FAST TCP is locally asymptotically stable for general networks if all flows have the same feedback delay, no matter how large the delay is. We also prove global asymptotic stability for a single bottleneck link in the absence of feedback delay. The techniques developed here are new and applicable to other protocols.
Partial and preliminary results have appeared in [17].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F.M. Caller and C.A. Desoer, Linear System Theory, Springer-Verlag, New York, 1991, pp. 368–374.
H. Choe and S.H. Low, Stabilized Vegas, in Proceedings of IEEE Infocom, April 2003. http://netlab.caltech.edu.
C.A. Desoer and Y.T. Yang, On the generalized nyquist stability criterion, IEEE Transactions on Automatic Control, 25 (1980), pp. 187–196.
S. Floyd, Highspeed TCP for large congestion windows, RFC 3649, IETF Experimental, December 2003. http://www.faqs.org/rfcs/rfc3649.html.
C. Hollot, V. Misra, and W. Gong, Analysis and design of controllers for AQM routers supporting TCP flows, IEEE Transactions on Automatic Control, 47 (2002).
R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, 1985.
C. Jin, D.X. Wei, and S.H. Low, FAST TCP: motivation, architecture, algorithms, performance, in Proceedings of IEEE Infocom, March 2004. http: //netlab.caltech.edu.
D.X. Wei, C. Jin, S.H. Low, and S. Hegde, FAST TCP: motivation, architecture, algorithms, performance, to appear in IEEE/ACM Transactions on Networking, 2007.
F.P. Kelly, Fairness and stability of end-to-end congestion control, European Journal of Control, 9 (2003), pp. 159–176.
T. Kelly, Scalable TCP: improving performance in highspeed wide area networks, ACM SIGCOMM Computer Communication Review., 33 (2003), pp. 83–91.
S.H. Low, F. Paganini, and J.C. Doyle, Internet congestion control, IEEE Control Systems Magazine, 22 (2002), pp. 28–43.
S.H. Low, F. Paganini, J. Wang, and J.C. Doyle, Linear stability of TCP/RED and a scalable control, Computer Networks Journal, 43 (2003), pp. 633–647. http://netlab.caltech.edu.
F. Paganini, Z. Wang, J.C. Doyle, and S.H. Low, Congestion control for high performance, stability, and fairness in general networks, IEEE/ACM Transactions on Networking, 13 (2005), pp. 43–56.
L. Rizzo, IP dummynet. http://info.iet.unipi.it/∼luigi/ip_dummynet/.
R. Srikant, The Mathematics of Internet Congestion Control, Birkhauser, 2004.
G. Vinnicombe, On the stability of networks operating TCP-like protocols, in Proceedings of IFAC, 2002. http://netlab, caltech. edu/pub/papers/gv_ifac.pdf.
J. Wang, D.X. Wei, and S.H. Low, Modeling and stability of FAST TCP, in Proceedings of IEEE Infocom, Miami, FL, March 2005.
D.X. Wei, Congestion control algorithms for high speed long distance tcp. Master’s Thesis, Caltech, 2004.
L. Xu, K. Harfoush, and I. Rhee, Binary increase congestion control for fast long-distance networks, in Proceedings of IEEE Infocom, March 2004.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Wang, J., Wei, D.X., Choi, JY., Low, S.H. (2007). Modelling and Stability of Fast TCP. In: Agrawal, P., Fleming, P.J., Zhang, L., Andrews, D.M., Yin, G. (eds) Wireless Communications. The IMA Volumes in Mathematics and its Applications, vol 143. Springer, New York, NY. https://doi.org/10.1007/978-0-387-48945-2_14
Download citation
DOI: https://doi.org/10.1007/978-0-387-48945-2_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-37269-3
Online ISBN: 978-0-387-48945-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)