Proceedings of 1995 34th IEEE Conference on Decision and Control
DOI: 10.1109/cdc.1995.480294
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Optimal rate control for high speed telecommunication networks

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Cited by 34 publications
(29 citation statements)
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“…As in [2,3], we let {£n} correspond to a stable ARMA process driven by an i.i.d. sequence {fin} with mean zero and variance one:…”
Section: Main R Esultsmentioning
confidence: 99%
See 1 more Smart Citation
“…As in [2,3], we let {£n} correspond to a stable ARMA process driven by an i.i.d. sequence {fin} with mean zero and variance one:…”
Section: Main R Esultsmentioning
confidence: 99%
“…The behavior of the switches has not been standardized, however, and their design has been left to the manufacturer. Several schemes have been proposed in the literature; see, for example, [1,2,3,7,13,14] and the references therein.…”
Section: Introductionmentioning
confidence: 99%
“…We use the fixed point method to solve numerically the system of equations (1), (3) and (4). The advantage of this simple model is that we can compute the loss probability and thus the throughput for large values of K and ρ.…”
Section: A the Exponential Service Time Casementioning
confidence: 99%
“…Again, for exponential service time, we can explicitly calculate the transition probabilities and the stationary distributions. Then P~(q > 0) provides the mean throughput of the system while E~[A~]E[s(1)] + AE[s (2)] is the mean input intensity. Thus, the stationary fraction of information loss for the system is P~(q > 0)/(E~[A,,]E[s(1)] + AE[s(2)]).…”
Section: Nw = N[w(l)] N[~] + ~ + E[w(2)] E(a) + ~mentioning
confidence: 99%
“…Some earlier studies on this problem, motivated by the analysis of congestion control in datagram networks, may be found in [10,17,18,25]. More recent studies, motivated by high-speed networks, include [2,3,7,13,14,16,19,21,28]. Siu and Tzeng [21] provide a general survey of the different proposals discussed at ATM forums for the flow control of ABR traffic.…”
Section: Introductionmentioning
confidence: 99%