- 1 D. Anick, D. Mitra, and M. M. Sondhi, "Stochastic theory of a datahandling system with multiple sources," Bell System Tech. J. vol. 61, pp. 1871-1894, 1982.Google Scholar
- 2 J. Beran, R. Sherman, M. S. Taqqu, and W. Willinger, "Variable-bitrate video traffic and long-range dependence," accepted for publication in IEEE Trans. Commun., 1993.Google Scholar
- 3 G. E. P. Box and G. M. Jenkins, Time Series Analysis: Forecasting and Control, 2nd ed. San Francisco, CA: Holden Day, 1976. Google Scholar
- 4 D. R. Cox, "Long-range dependence: A review," in Statistics: An Appraisal, H. A. David and H. T. David, eds. Ames, IA: The Iowa State University Press, 1984, pp. 55-74.Google Scholar
- 5 N. G, Duffield and N. O'Connell, "Large deviations and overflow probabilities for the general single-server queue, with applications," preprint, 1993.Google Scholar
- 6 A. Erramilli and R. P. Singh, "Chaotic maps as models of packet traffic," in Proc. 14th ITC, Antibes luan-les-Pins, France, 1994 (to appear).Google Scholar
- 7 H.J. Fowler and W. E. Leland, "Local area network traffic characteristics, with implications for broadband network congestion management," IEEEJ. Select. Areas Commun. vol. 9, pp. 1139-1149, 1991.Google Scholar
- 8 M. W. Garrett and W. Willinger, "Analysis, modelling, and generation of self-similar VBR video traffic," preprint, 1994.Google Scholar
- 9 C. W. J. Granger, "Long memory relationships and the aggregation of dynamic models," J. Econometr. vol. 14, pp. 227-238, 1980.Google Scholar
- 10 C. W. J. Granger and R. Joyeux, "An introduction to long-memory time series models and fractional differencing," J. Time Series Anal. vol. 1, pp. 15--29, 1980.Google Scholar
- 11 H. Heffes and D. M. Lucantoni, "A Markov modulated characterization of packetized voice and data traffic and related statistical multiplexer performance," IEEE J. Select. Areas Commun., vol. SAC-4, pp. 856-868, 1986.Google Scholar
- 12 J. R. M. Hosking, "Fractional differencing," Biometrika, vol. 68, pp. 165--176, 1981.Google Scholar
- 13 R. Jaln and S. A. Routhier, "Packet trains: Measurements and a new model for computer network traffic," IEEE J. Select. Areas Commun., vol. SAC-4, pp. 986-995, 1986.Google Scholar
- 14 W. E. Leland and D. V. Wilson, "High time-resolution measurement and analysis of LAN traffic: Implications for LAN interconnection," in Proc. IEEE INFOCOM '91, Bal Harbour, FL, 1991, pp. 1360-1366.Google Scholar
- 15 W. E. Leland, M. S. Taqqu, W. Willinger, and D. V. Wilson, "On the self-similar nature of Ethernet traffic," in Proc. ACM Sigcomm '93, San Francisco, CA, 1993, pp. 183-193. Google Scholar
- 16 --., "Statistical analysis of high time-resolution F.,themet LAN traffic measurements," in Proc. 25th Interface, San Diego, CA, 1993.Google Scholar
- 17 --, "Self-similarity in high-speed packet traffic: Analysis and modeling of Ethemet traffic measurements," Statistical Science, 1994 (to appear).Google Scholar
- 18 B.B. Mandelbrot, "Self-similar error clusters in commanication systems and the concept of conditional stationarity," IEEE Trans. Commun. Techn., vol. COM-13, pp. 71-90, 1965.Google Scholar
- 19 --, "Long-ran linearity, locally Gaussian processes, H-spectra and infinite variances," Intern. Econom. Rev., vol. 10, pp. 82-113, 1969.Google Scholar
- 20 , "A fast fractional Gaussian noise generator," Water Resources Research, vol. 7, pp. 543-553, 1971.Google Scholar
- 21 B. B. Mandelbrot and M. S. Taqqu, "Robust R/S analysis of long mn serial correlation," in Proc. 42nd Session ISI, 1979, pp. 69-99.Google Scholar
- 22 B. B. Mandelbrot and J. W. Van Ness, "Fractional Brownian motions, fractional noises and applications," SIAM Rev., vol. 10, pp. 422-437, 1968.Google Scholar
- 23 B. B. Mandelbrot and J. R. Wallis, "Computer experiments with fractional Ganssian noises," Water Resources Research, vol. 5, pp. 228-267, 1969.Google Scholar
- 24 K. Meier-Hellstern, P. E. Wirth, Y.-L. Yan, and D. A. Hoeflin, "Traffic models for ISDN data users: Office automation application," in Teletraffic and Datatraffic in a Period of Change (Proc. 13th ITC, Copenhagen, 1991), A. Jensen and V. B. Iversen, eds. Amsterdam, The Netherlands: North-Holland, 1991, pp. 167-172.Google Scholar
- 25 I. Norros, "Studies on a model for connectionless traffic, based on fractional Brownian motion," COST24TD(92)041, 1992.Google Scholar
- 26 E. H. Spafford, "The Intemet worm incident," in Proc. ESEC 89 and Lecture Notes in Computer Science 87. New York: Springer-Verlag, 1989. Google Scholar
- 27 M. S. Taqqu, "A bibliographical guide to self-similar processes and long-range dependence," in Dependence in Probability and Statistics, E. Eberlein and M. S. Taqqu, eds. Basel: Birkhauser, 1985, pp. 137-165.Google Scholar
- 28 M. S. Taqqu and J, B. Levy, "Using renewal processes to generate long-range dependence and high variability," in Dependence in Probability and Statistics, E. Eberlein and M. S. Taqqu, eds. Boston, MA: Birkhauser, 1986, vol. 1 !, pp. 7349.Google Scholar
- 29 D. Veitch, "Novel models of broadband traffic," in Proc. 7th Australian Teletraffic Research Seminar, Murray River, Australia, 1992.Google Scholar
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- On the self-similar nature of Ethernet traffic (extended version)
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On the self-similar nature of Ethernet traffic
SIGCOMM '93: Conference proceedings on Communications architectures, protocols and applicationsWe demonstrate that Ethernet local area network (LAN) traffic is statistically self-similar, that none of the commonly used traffic models is able to capture this fractal behavior, and that such behavior has serious implications for the design, control, ...
On the self-similar nature of Ethernet traffic
We demonstrate that Ethernet local area network (LAN) traffic is statistically self-similar, that none of the commonly used traffic models is able to capture this fractal behavior, and that such behavior has serious implications for the design, control, ...
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