2003
DOI: 10.1016/s1389-1286(03)00304-9
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Linear stability of TCP/RED and a scalable control

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Cited by 149 publications
(126 citation statements)
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References 14 publications
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“…The round trip propagation delay is 40 ms. The RED parameters has been tuned as in [16], i.e., max p = 0.1, min th = 50 pkts, max th = 550 pkts, and weight for queue averaging K = 10 −4 . 5 show the behavior of the centralized and of the decentralized AO (after convergence) as compared with the RED strategy.…”
Section: Simulation Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The round trip propagation delay is 40 ms. The RED parameters has been tuned as in [16], i.e., max p = 0.1, min th = 50 pkts, max th = 550 pkts, and weight for queue averaging K = 10 −4 . 5 show the behavior of the centralized and of the decentralized AO (after convergence) as compared with the RED strategy.…”
Section: Simulation Resultsmentioning
confidence: 99%
“…TCP/RED becomes unstable when delay increases, or more strikingly, when link capacity increases. The analysis illustrates the difficulty of setting RED parameters to stabilize TCP: they can be tuned to improve stability, but only at the cost of large queues [16]. In particular, it was shown that for increasing time delays and capacities, the TCP/RED fixed-point equilibrium becomes unstable, and the trajectories oscillate around a stable limit cycle.…”
Section: P a Ioannou Is With Department Of Electrical Engineering mentioning
confidence: 99%
“…We describe a TCP/AQM network using a fluid model, as customary in the literature [16]- [21]. Let x s (t) (bits/sec) be the average data rate of TCP source s at time t where the average is taken over the time interval ∆ (seconds) and ∆ is assumed to be on the order of several round-trip times (RTTs), i.e., large enough to average out the additive-increase and multiplicative decrease (AIMD) oscillation of TCP.…”
Section: A Drq Objective and Optimalitymentioning
confidence: 99%
“…We assume that each TCP flow s has a constant RTT τ s , as customary in the fluid modelling of TCP dynamics [16]- [21].…”
Section: A2mentioning
confidence: 99%
“…Then, the AQM analysis and design is formulated as a linear control problem whose stability properties are investigated. Linear stability properties of networks with TCP-RED interaction has been studied in [13]. A mean-field model based on N-particle Markov process and for the congestion windows of multiple TCP sources multiplexed through a buffer implementing RED has been presented in [21].…”
mentioning
confidence: 99%