Homotopy Analysis Method of Internet Congestion Control Model

Recently time-delayed dual model has attracted great attention in studying Internet congestion control. Stability analysis of time-delayed dual model is an important task, where how to determine its solution is the first step. Usually perturbation method can be used to seek the solution of the model...

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Bibliographic Details
Published in2010 International Conference on Communications and Mobile Computing Vol. 1; pp. 404 - 407
Main Authors Yuliang Liu, Jinshu Lu, Hua Zhang, Lin Li
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.04.2010
Subjects
Communication system control
congestion control
Delay
Equations
homotopy
Internet
Mobile communication
Mobile computing
Numerical simulation
Perturbation methods
Stability analysis
time-delayed dual
Underwater communication
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ISBN9781424463275
1424463270
DOI10.1109/CMC.2010.224

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Summary:Recently time-delayed dual model has attracted great attention in studying Internet congestion control. Stability analysis of time-delayed dual model is an important task, where how to determine its solution is the first step. Usually perturbation method can be used to seek the solution of the model, however, its effectiveness depends on a small parameter and it will be invalid when such a parameter doesn't exist. In this paper, we use a hyper-perturbation method called homotopy analysis method (HAM) to determine the solution, and its simplification and feasibility are proved by numerical simulations.
ISBN:9781424463275
1424463270
DOI:10.1109/CMC.2010.224