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9. J. Beran. Statistics for Long-Memory Processes. Monographs on Statistics and Applied Probability. Chapman and Hall, New York, 1994. 10. J. Beran, R. Sherman, M. S. Taqqu, and W. Willinger. Long-range dependence in variablebit-rate video traf c. IEEE Trans. Commun., 43:1566 1579, 1995. 11. E. Biersack. Performance evaluation of forward error correction in ATM networks. In Proc. ACM SIGCOMM '92, pp. 248 257, 1992. 12. D. R. Cox. Long-range dependence: a review. In H. A. David and H. T. David, eds., Statistics: An Appraisal, pp. 55 74. Iowa State University. Press, Ames, 1984. 13. M. Crovella and A. Bestavros. Self-similarity in World Wide Web traf c: evidence and possible causes. In Proceedings of the 1996 ACM SIGMETRICS International Conference on Measurement and Modeling of Computer Systems, May 1996. 14. M. E. Crovella and A. Bestavros. Self-similarity in World Wide Web traf c: evidence and possible causes. IEEE=ACM Trans. Networking 5, 835 846,1997. 15. M. Crovella and L. Lipsky. Long-lasting transient conditions in simulations with heavytailed workloads. In Proc. 1997 Winter Simulation Conference, 1997. 16. N. G. Duf eld, J. T. Lewis, N. O'Connel, R. Russell, and F. Toomey. Statistical issues raised by the Bellcore data. In Proc. 11th IEE Teletraf c Symposium, 1994. 17. N. G. Duf eld and N. O'Connell. Large deviations and over ow probabilities for the general single server queue, with applications. Math. Proc. Cambridge Philos. Soc. 118: 363 374, 1995. 18. N. Duf eld and W. Whitt. Control and recovery from rare congestion events in a large multi-server system. Queueing Syst., 26:69 104, 1997. 19. N. Duf eld and W. Whitt. A source traf c model and its transient analysis for network control. Stochastic Models, 14:51 78, 1998. 20. A. Erramilli, O. Narayan, and W. Willinger. Experimental queueing analysis with longrange dependent packet traf c. IEEE=ACM Trans. Networking, 4:209 223, 1996. 21. A. Erramilli, R. Singh, and P. Pruthi. An application of deterministic chaotic maps to model packet traf c. Queueing Syst., 20:171 206, 1995. 22. A. Feldmann, A. C. Gilbert, P. Huang, and W. Willinger. Dynamics of IP traf c: a study of the role of variability and the impact of control. In Proc. ACM SIGCOMM '99, pp. 301 313, 1999. 23. A. Feldmann, A. C. Gilbert, and W. Willinger. Data networks as cascades: investigating the multifractal nature of Internet WAN traf c. In Proc. ACM SIGCOMM '98, 42 55, 1998. 24. A. Feldmann, A. C. Gilbert, W. Willinger, and T. G. Kurtz. The changing nature of network traf c: scaling phenomena. Comput. Commun. Rev., 28: 5 29, 1998. 25. M. R. Frater, P. Tan, and J. F. Arnold. Variable bit rate video traf c on the broadband ISDN: modelling and veri cation. In J. Labetoulle and J. W. Roberts, eds, The Fundamental Role of Teletraf c in the Evolution of Telecommunications Networks, pp. 1351 1360, Elsevier, Amsterdam, The Netherlands, 1994. 26. M. Garret and W. Willinger. Analysis, modeling and generation of self-similar VBR video traf c. In Proc. ACM SIGCOMM '94, pp. 269 280, 1994. 27. R. J. Gibbens. Traf c characterization and effective bandwidths for broadband network traces. In F. P. Kelly, S. Zachary, and I. Ziedins, eds, Stochastic Networks: Theory and Applications, pp. 169 179. Clarendon Press, Oxford, 1996. 28. A. C. Gilbert, W. Willinger, and A. Feldmann. Scaling analysis of conservative cascades,
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with applications to network traf c. IEEE Trans. Information Theory, 45(3):971 991, 1999. M. Grossglauser and J.-C. Bolot. On the relevance of long-range dependence in network traf c. In Proc. ACM SIGCOMM '96, pp. 15 24, 1996. M. Harchol-Balter. Process lifetimes are not exponential, more like 1=t: implications on dynamic load balancing. Technical report, EECS, University of California, Berkeley, 1996. CSD-94-826. M. Harchol-Balter and A. Downey. Exploiting process lifetime distributions for dynamic load balancing. In Proc. SIGMETRICS '96, pp. 13 24, 1996. D. Heyman and T. Lakshman. Source models for VBR broadcast video traf c. IEEE=ACM Trans. Networking, 5(1): 40 48, Feb 1996. D. Heyman and T. Lakshman. What are the implications of long-range dependence for VBR-video traf c engineering IEEE=ACM Trans. Networking, 4(3):301 317, June 1996. C. Huang, M. Devetsikiotis, I. Lambadaris, and A. Kaye. Modeling and simulation of selfsimilar variable bit rate compressed video: a uni ed approach. In Proc. ACM SIGCOMM '95, pp. 114 125, 1995. P. Jacquet. Analytic information theory in service of queueing with aggregated exponential on=off arrivals. In Proc. 25th Allerton Conference on Communication, Control and Computing, p. 242 251, 1996. R. Jain and S. Routhier. Packet trains measurements and a new model for computer network traf c. IEEE J. Select. Areas Commun., 4(6):986 995, 1986. P. Jelenkovic and B. Melamed. Automated TES modeling of compressed video. In Proc. IEEE INFOCOM '95, pp. 746 752, 1995. Leonard Kleinrock. Queueing Systems, Volume 1: Theory. Wiley-Interscience, New York, 1975. T. G. Kurtz. Limit theorems for workload input models. In F. P. Kelly, S. Zachary, and I. Ziedins, eds, Stochastic Networks: Theory and Applications. Clarendon Press, Oxford, 1996. W. E. Leland and T. J. Ott. UNIX process behavior and load balancing among looselycoupled computers. In O. J. Boxma, J. W. Cohen, and H. C. Tijms, eds, Teletraf c Analysis and Computer Performance Evaluation, pp. 191 208, Elsevier, Amsterdam, The Netherlands, 1986. W. Leland, M. Taqqu, W. Willinger, and D. Wilson. On the self-similar nature of Ethernet traf c. In Proc. ACM SIGCOMM '93, pp. 183 193, 1993. W. E. Leland, M.S. Taqqu, W. Willinger, and D.V. Wilson. On the self-similar nature of Ethernet traf c (extended version). IEEE=ACM Trans. Networking, 2:1 15, 1994. N. Likhanov, B. Tsybakov, and N. Georganas. Analysis of an ATM buffer with self-similar (``fractal'') input traf c. In Proc. IEEE INFOCOM '95, pp. 985 992, 1995. R. Lukose and B. Huberman. Sur ng as a real option. In Proc. 1st International Conference on Information and Computation Economies, pp. 45 51, 1998. B. Mandelbrot and J. Van Ness. Fractional Brownian motions, fractional noises and applications. SIAM Rev. , 10:422 437, 1968. B. B. Mandelbrot. Long-run linearity, locally gaussian processes, h-spectra and in nite variances. Int. Econom. Rev., 10:82 113, 1969.
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