A feedback fluid queue with two congestion control thresholds

Feedback fluid queues play an important role in modeling congestion control mechanisms for packet networks. In this paper we present and analyze a fluid queue with a feedback-based traffic rate adaptation scheme which uses two thresholds. The higher threshold B1 is used to signal the beginning of congestion while the lower threshold B2 signals the end of congestion. These two parameters together allow to make the trade-off between maximizing throughput performance R. Malhotra Alcatel-Lucent, Capitool 5, 7521 PL Enschede, The Netherlands e-mail: [email protected] R. Malhotra · J. L. van den Berg University of Twente, 7500 AE Enschede, The Netherlands M. R. H. Mandjes Korteweg-de Vries Institute for Mathematics, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands e-mail: [email protected] M. R. H. Mandjes ·W. R. W. Scheinhardt CWI, Amsterdam, The Netherlands M. R. H. Mandjes EURANDOM, Eindhoven, The Netherlands W. R. W. Scheinhardt Faculty of Electrical Engineering, Mathematics, and Computer Science, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands e-mail: [email protected] J. L. van den Berg (B) TNO ICT, P.O. Box 5050, 2600 GB Delft, The Netherlands e-mail: [email protected]