Guillem Duran (University Miguel Hernández of Elche),  José Valero (University Miguel Hernández of Elche), José M. Amigó (University Miguel Hernández of Elche),  Ángel Giménez (University Miguel Hernández of Elche) and Óscar Martínez- Bonastre (University Miguel Hernández of Elche).

Abstract. The bifurcation and chaotic behavior of Two may cause heavy oscillation of average queue length at routers and induce network instability. In the context, congestion control in the Internet is a challenging problem of key importance. This work presents a new discrete dynamical model of Random Early Detection (RED) using beta distribution for controlling bifurcations and chaos in the internet congestion control. The numerical analysis and the simulation experiments show that this new Active Queue Management (AQM) model can obtain the stable average queue length to the desired fix point. The model programmed with Python and Mathematica incorporates new parameters that make it possible to stabilize oscillations of averaged router queue length and to be close to stationary state.

Keywords.  Congestion control; Active Queue Management (AQM); Internet; Discrete dynamical systems.