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A storage model with self-similar input

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Abstract

A storage model with self-similar input process is studied. A relation coupling together the storage requirement, the achievable utilization and the output rate is derived. A lower bound for the complementary distribution function of the storage level is given.

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References

  1. V.E. Beneš,General Stochastic Processes in the Theory of Queues (Addison-Wesley, 1963).

  2. I.P. Cornfeld, Ya. G. Sinai and S.V. Fomin,Ergodic Theory (Springer, Berlin, 1982).

    Google Scholar 

  3. E. Eberlein and M.S. Taqqu (eds.),Dependence in Probability and Statistics, vol. 11 ofProgress in Probability and Statistics (BirkhÄuser, Boston, 1986).

    Google Scholar 

  4. H.J. Fowler and W.E. Leland, Local area network traffic characteristics, with implications for broadband network congestion management, IEEE J. Sel. Areas Commun. SAC-9 (1991) 1139–1149.

    Google Scholar 

  5. J.M. Harrison,Brownian Motion and Stochastic Flow Systems (Wiley, New York, 1985).

    Google Scholar 

  6. J. Jacod and A.N. Shiryaev,Limit Theorems for Stochastic Processes (Springer, 1987).

  7. W. Leland and D. Wilson, High time-resolution measurement and analysis of LAN traffic: Implications for LAN interconnection, in:IEEE INFOCOM'91 (1991).

  8. W.E. Leland, LAN traffic behavior from milliseconds to days, in:7th ITC Specialists' Seminar, Morristown (October 1990).

  9. W.E. Leland, M.S. Taqqu, W. Willinger and D.V. Wilson, On the self-similar nature of Ethernet traffic, in:SIGCOMM93 (1993).

  10. B.B. Mandelbrot and J.W. Van Ness, Fractional Brownian motions, fractional noises and applications, SIAM Rev. 10 (1968) 422–437.

    Google Scholar 

  11. E. Reich, On the integrodifferential equation of Takács (I), Ann. Math. Statist. 29 (1958) 563–570.

    Google Scholar 

  12. J.W. Roberts (ed.),Performance Evaluation and Design of Multiservice Networks, COST 224 Final Report (CEC, 1992).

  13. L. Takács,Combinatorial Methods in the Theory of Stochastic Processes (Wiley, New York, 1967).

    Google Scholar 

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Authors and Affiliations

  1. VTT Telecommunications, Otakaari 7 B, SF-02150, Espoo, Finland

    Ilkka Norros

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  1. Ilkka Norros
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Norros, I. A storage model with self-similar input. Queueing Syst 16, 387–396 (1994). https://doi.org/10.1007/BF01158964

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  • DOI: https://doi.org/10.1007/BF01158964

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