Fairness and Convergence Results for Additive-Increase Multiplicative-Decrease Multiple-Bottleneck Networks.
Middleton, Richard H. and Kellett, Christopher M. and Shorten, Robert N. (2006) Fairness and Convergence Results for Additive-Increase Multiplicative-Decrease Multiple-Bottleneck Networks. In: 45th IEEE Conference on Decision and Control The Manchester Grand Hyatt December 13-15, 2006. San Diego, CA, USA. IEEE, pp. 1864-1869. ISBN 1-4244-0171-2 AbstractWe examine the behavior of the Additive-Increase Multiplicative-Decrease (AIMD) congestion control algorithm.
We present a variant of a recently proposed matrix model
that allows us to obtain previous results for competition via
a single bottleneck link. We then extend these results to the
case of multiple bottleneck links paying particular attention
to some aspects of fairness and convergence properties for
multiple bottleneck systems. We examine both the synchronous
(deterministic) and asynchronous (stochastic) cases. A simple
simulation example illustrates the results. | Additional Information: | "© 2006 IEEE. Reprinted from 45th IEEE Conference on Decision and Control The Manchester Grand Hyatt December 13-15, 2006. San Diego, CA, USA. 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=4177305&isnumber=4176993 |
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| Keywords: | Convergence; Matrix algebra; Telecommunication congestion control; Additive-increase multiplicative-decrease congestion control; Additive-increase multiplicative-decrease multiple-bottleneck networks; Deterministic cases; Fairness; Matrix model; Stochastic cases; Hamilton Institute. |
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| Subjects: | Science & Engineering > Hamilton Institute
Science & Engineering > Computer Science |
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| ID Code: | 1771 |
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| Deposited By: | Hamilton Editor |
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| Deposited On: | 11 Jan 2010 11:51 |
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| Publisher: | IEEE |
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| Refereed: | Yes |
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| URL: | http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4176993&isYear=2006 |
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