N.G. Duffield, J.T. Lewis, Neil O'Connell, Raymond Russell, Fergal Toomey  Home/Search
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Abstract: We present the tail asymptotics in a queue serviced at constant rate and whose input process has long-range dependence, for example, fractional Brownian Motion (fBM) with Hurst parameter H ? 1=2. Some heterogeneous superpositions of such sources are also treated. We examine the experimental basis for self-similar modelling. If fluctuations in traffic levels can be accounted for by variations in time-dependent external parameters, rather than statistically through parsimonious modelling by fBM,... (Update)
Context of citations to this paper: More
.... logarithm of the overflow probability does not decrease linearly with the buffer size, rather it decreases at a sub linear rate [DO96, DLO95] On the other hand, the many sources asymptotic [CW96, BD95] a similar result is proved in [SG95] for the case of on off fluid...
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BibTeX entry: (Update)
N. G. Duffield, et al., "Predicting Quality of Service for Traffic with Long--Range Fluctuations, " in Proceedings of IEEE International Conference on Communications, Seattle, Washington, USA, June 18--22, 1995. Gunnar Karlsson Video over ATM Networks 15 http://citeseer.ist.psu.edu/duffield95predicting.html More
@misc{ duffield95predicting,
author = "N. Duffield",
title = "Predicting Quality of Service for Traffic with Long--Range Fluctuations",
text = "N. G. Duffield, et al., Predicting Quality of Service for Traffic with
Long--Range Fluctuations, in Proceedings of IEEE International Conference
on Communications, Seattle, Washington, USA, June 18--22, 1995. Gunnar Karlsson
Video over ATM Networks 15",
year = "1995",
url = "citeseer.ist.psu.edu/duffield95predicting.html" }
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214 Large Deviation Techniques and Applications (context) - Dembo, Zeitouni - 1993
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111 Logarithmic asymptotics for steady-state tail probabilities .. - Glynn, Whitt - 1994
76 Probability Approximations via the Poisson Clumping Heuristi.. - Aldous - 1989
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47 Variable-bit-rate video traffic and long range dependence (context) - Beran, Sherman et al. - 1993
41 Fractional Brownian motions (context) - Mandelbrot, Van Ness - 1968
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38 Economies of scale in queues with sources having power-law l.. - Duffield - 1994
27 Entropy of ATM traffic streams: a tool for estimating QoS pa.. - Duffield, Lewis et al. - 1994
25 Effective bandwidths at multi-type queues (context) - Kelly - 1991
12 The Hurst phenomenon: a puzzle (context) - Klemes - 1974
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7 Statistical analysis of high timeresolution Ethernet LAN tra.. (context) - Leland, Taqqu et al. - 1993
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