FAST TCP: Some fluid models, stability and Hopf bifurcation

Manjunath, Sreelakshmi; Raina, Gaurav

doi:10.1016/j.peva.2017.02.001

Cited by 4 publications

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Over the past years, many internet congestion control mechanisms have been developed to ensure the reliable and efficient exchange of information across the internet, such as Active Queue Management (AQM). Bifurcation analysis of TCP under various congestion control mechanisms have been studied by several authors [16,25,30,32,40,41]. All have used a continuous-time model (e.g., the fluid model) and applied traditional mathematical methods of bifurcation analysis, including simulations, to detect parameter values when the system passes through a critical point, the system loses its stability, and a so-called Hopf bifurcation occurs [22].…”

Section: Introductionmentioning

confidence: 99%

Digital Bifurcation Analysis of TCP Dynamics

Beneš

Brim

Pastva

et al. 2019

Tools and Algorithms for the Construction and Analysis of Systems

View full text Add to dashboard Cite

Digital bifurcation analysis is a new algorithmic method for exploring how the behaviour of a parameter-dependent computer system varies with a change in its parameters and, in particular, for identification of bifurcation points where such variation becomes dramatic. We have developed the method in an analogy with the traditional bifurcation theory and have it successfully applied to models taken from systems biology. In this case study paper, we demonstrate the appropriateness and usefulness of the digital bifurcation analysis as a push-button alternative to the classical approaches as traditionally used for analysing the stability of TCP/IP protocols. We consider two typical examples (congestion control and buffer sizes throughput influence) and show that the method provides the same results as obtained with classical non-automatic analytical and numerical methods.

show abstract