A Positive Systems Model of TCP-Like Congestion Control: Asymptotic Results.

Shorten, Robert N. and Wirth, Fabian and Leith, Douglas J. (2006) A Positive Systems Model of TCP-Like Congestion Control: Asymptotic Results. IEEE/ACM Transactions on Networking, 14 (3). pp. 616-629. ISSN 1063-6692

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Abstract—We study communication networks that employ drop-tail queueing and Additive-Increase Multiplicative-Decrease (AIMD) congestion control algorithms. It is shown that the theory of nonnegative matrices may be employed to model such networks. In particular, important network properties, such as: 1) fairness; 2) rate of convergence; and 3) throughput, can be characterized by certain nonnegative matrices. We demonstrate that these results can be used to develop tools for analyzing the behavior of AIMD communication networks. The accuracy of the models is demonstrated by several NS studies.

Item Type: Article
Additional Information: "©2006 IEEE. Reprinted from IEEE/ACM Transactions on Networking. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1642740&isnumber=34431
Keywords: Additive-increase multiplicative-decrease; AIMD; TCP; Transmission Control Protocol; Congestion control; Positive matrices; Matrix algebra; Queueing theory; Telecommunication congestion control; Telecommunication networks; Transport protocols; TCP-like congestion control; Communication networks; Drop-tail queueing; Nonnegative matrices; Hamilton Institute.
Academic Unit: Faculty of Science and Engineering > Computer Science
Faculty of Science and Engineering > Research Institutes > Hamilton Institute
Item ID: 1764
Identification Number: 10.1109/TNET.2006.876178
Depositing User: Hamilton Editor
Date Deposited: 05 Jan 2010 13:23
Journal or Publication Title: IEEE/ACM Transactions on Networking
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Refereed: Yes

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