Analysis and design of congestion control in synchronised communication networks
Shorten, R.N. and Leith, D.J and Foy, J. and Kilduff, R. (2005) Analysis and design of congestion control in synchronised communication networks. Automatica, 41 (4). pp. 725-730. ISSN 0005-1098
We present a simplied model of a network of TCP-like sources that compete for a shared bandwidth. We show that: (i) networks of communicating devices operating AIMD congestion control algorithms may be modelled as a positive linear system; (ii) that such networks possess a unique stationary point; and (iii) that this stationary point is globally exponentially stable. Using these results we establish conditions for the fair co-existence of traffic in networks employing heterogeneous AIMD algorithms. A new protocol for operation over high-speed links is proposed and its dynamic properties discussed as a positive linear system.
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