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Type of publication:Article
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TitleMax-min Fair Flow Control Sensitive to Priorities
Bibtex cite IDRACTI-RU1-2005-46
Journal Journal of Interconnection Networks
Year published 2005
Month June
Volume 6
Number 2
Pages 85-114
DOI 10.1142/s0219265905001332
Keywords Flow control; Max-min fairness; Priority max-min fairness; Priority bottleneck algorithms; Convergence complexity;
Abstract
Flow control is the main technique currently used to prevent some of the ordered traffic from entering a communication network, and to avoid congestion. A challenging aspect of flow control is how to treat all sessions "fairly " when it is necessary to turn traffic away from the network. In this work, we show how to extend the theory of max-min fair flow control to the case where priorities are assigned to different varieties of traffic, which are sensitive to traffic levels. We examine priorities expressible in the general form of increasing functions of rates, considering yet in combination the more elaborative case with unescapable upper and lower bounds on rates of traffic sessions. We offer optimal, priority bottleneck algorithms, which iteratively adjust the session rates in order to meet a new condition of max-min fairness under priorities and rate bounds. In our setting, which is realistic for today's technology of guaranteed quality of service, traffic may be turned away not only to avoid congestion, but also to respect particular minimum requirements on bandwidth. Moreover, we establish lower bounds on the competitiveness of network-oblivious schemes compared to optimal schemes with complete knowledge of network structure. Our theory extends significantly the classical theory of max-min fair flow control [2]. Moreover, our results on rejected traffic are fundamentally different from those related to call control and bandwidth allocation, since not only do we wish to optimize the number and rates of accepted sessions, but we also require priority fairness.
Authors
Fatourou, Panagiota
Mavronicolas, Marios
Spirakis, Paul
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