Local and global stability of TCP-newReno/RED with many flows

Wang, Xinbing; Eun, Do Young

doi:10.1016/j.comcom.2006.11.007

Cited by 5 publications

(2 citation statements)

References 39 publications

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“…Recently, many AQM algorithms such as REM, RED and AVQ have been studied extensively, and some significant work has been carried out (see, for example, [4][5][6][7][8][9][10][11][12][13][14][15][16]). In [4], S. Liu et al proposed and investigated a kind of new AQM algorithm, i.e., exponential random early detection (RED) algorithm in which the packet marking probability is set to be an exponential function of the length of a virtual queue.…”

Section: Introductionmentioning

confidence: 99%

Linear stability and Hopf bifurcation in an exponential RED algorithm model

Huang

2009

Nonlinear Dyn

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We consider a novel congestion control model, i.e., the exponential RED algorithm with a single link and single source. Using the gain parameter of the system instead of the delay as the bifurcation parameter, the linear stability and Hopf bifurcation are investigated, and the stability and direction of the Hopf bifurcation are determined by employing the normal form method and the center manifold reduction. Numerical simulations are carried out to illustrate our theoretical results.

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Section: Introductionmentioning

confidence: 99%

Linear stability and Hopf bifurcation in an exponential RED algorithm model

Huang

2009

Nonlinear Dyn

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“…Ranjan et.al have analyzed Kelly's optimization framework for a rate allocation problem and provide stability conditions with arbitrary fixed communication delays [8]. In [9], Wang and Eun have studied the local and global stability of TCP-newReno/RED under many flows. Moreover, it is also of interest to find what will happen when the congestion control system loses its stability.…”

Section: Introductionmentioning

confidence: 99%