Are optimization based Internet congestion control models fragile with respect to TCP structure and symmetry?
Lestas I.and Vinnicombe G.
Proc. 43rd IEEE Conference on Decision and Control, December 2004Abstract
Scalable stability conditions derived so far for optimization based
models of congestion control protocols, can be shown mathematically to
hold for arbitrary networks provided the underlying protocol is
symmetric. In practical implementations, however, deviation from this
symmetry is inevitable. It is hence crucial to establish whether these
models are fragile with respect to a relaxation of the symmetry
assumption. We prove in this paper that this is not the case by
presenting scalable, decentralized conditions, that guarantee
stability for models of non-symmetric, TCP like protocols, of
arbitrary interconnection. These conditions can be seen as local
perturbations to the symmetric results and we illustrate how they
converge to those derived for symmetric protocols as the degree of non
symmetry becomes smaller. Finally, we show the way the decrease rule
in TCP is associated with robust stability to non symmetric deviations
from the protocol.
BibTex Entry
- @InProceedings{,
- author = {Lestas I.and Vinnicombe G.},
- title = {Are optimization based Internet congestion control models fragile with respect to TCP structure and symmetry?},
- booktitle = {Proc. 43rd IEEE Conference on Decision and Control},
- month = {December},
- year = {2004}
- }
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