Premium
Estimation of the variances of TCP/RED using stochastic differential equation
Author(s) -
Fan Hua,
Ren Yong,
Shan Xiuming
Publication year - 2012
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.358
Subject(s) - transmission control protocol , queue , tcp global synchronization , bottleneck , variance (accounting) , random early detection , stochastic differential equation , cubic tcp , computer science , mathematics , active queue management , network congestion , computer network , economics , accounting , network packet , embedded system
By using the stochastic differential equation (SDE), a model is built to describe the system behavior, especially the queue length behavior, of TCP/RED (transmission control protocol with random early detection) on a single bottleneck network. Then, not only the static equilibrium point of the system is calculated, but also its variance is estimated. After calculating the variance of the queue length in the router, the authors show how such random oscillation affects the maximum connection number that the link admits while keeping low dropping probability, and how this relation is influenced by other network parameters. This model can be applied to the case where only homogeneous TCP flows exist, as well as where TCP and UDP (user data protocol) flows coexist. The simulations by NS‐2 show that our deductive method is effective.Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society