On the Dynamics of TCP's Higher Moments

In this paper we extend a recently derived positive systems model for TCP to capture the dynamics of TCP's higher order moments in drop-tail environments. Experimental results are given to illustrate the accuracy of our model

[1]  Robert Shorten,et al.  Modelling TCP congestion control dynamics in drop-tail environments , 2007, Autom..

[2]  Robert Shorten,et al.  Stochastic Equilibria of AIMD Communication Networks , 2006, SIAM J. Matrix Anal. Appl..

[3]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.

[4]  Robert Shorten,et al.  On the second eigenvalue of matrices associated with TCP , 2006 .

[5]  Fabian R. Wirth,et al.  A positive systems model of TCP-like congestion control: asymptotic results , 2006, IEEE/ACM Transactions on Networking.

[6]  Van Jacobson,et al.  Traffic phase effects in packet-switched gateways , 1991, CCRV.

[7]  François Baccelli,et al.  AIMD, fairness and fractal scaling of TCP traffic , 2002, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies.

[8]  F. Baccelli,et al.  Interaction of TCP flows as billiards , 2003, IEEE INFOCOM 2003. Twenty-second Annual Joint Conference of the IEEE Computer and Communications Societies (IEEE Cat. No.03CH37428).

[9]  João P. Hespanha,et al.  Modeling communication networks with hybrid systems , 2007, TNET.