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Convergence of trajectories and optimal buffer sizing for MIMD congestion control
 

Summary: Convergence of trajectories and optimal buffer sizing
for MIMD congestion control
Yi Zhang
Dept. of Mathem. Sciences, The University of Liverpool, L69 7ZL UK
zy1985@liverpool.ac.uk
Alexei Piunovskiy
Dept. of Mathem. Sciences, The University of Liverpool, L69 7ZL UK
piunov@liverpool.ac.uk
Urtzi Ayesta
LAAS-CNRS 7 Avenue Colonel Roche, 31077 Toulouse Cedex, France
BCAM - Basque Center for Applied Mathematics, 48160 Derio, Spain
Konstantin Avrachenkov
MAESTRO team, INRIA,
2004 route des lucioles - BP 93 FR-06902 Sophia Antipolis Cedex, France
k.avrachenkov@sophia.inria.fr
Abstract
We study the interaction between the MIMD (Multiplicative Increase Multiplicative De-
crease) congestion control and a bottleneck router with Drop Tail buffer. We consider the
problem in the framework of deterministic hybrid models. We study conditions under which
the system trajectories converge to limiting cycles with a single jump. Following that, we

  

Source: Ayesta, Urtzi - Laboratoire d'Analyse et d'Architecture des Systèmes du CNRS

 

Collections: Engineering