A Long-Range Dependent Workload Model for Packet Data Traffic

References

• Beran J.Statistics of Long Memory Processes (1994) (Chapman and Hall, New York) Google Scholar
• Billingsley P.Convergence of Probability Measures (1999) (Wiley, New York) Crossref, Google Scholar
• Çağlar M. Simulation of fractional Brownian motion with micropulses. Adv. Performance Anal. (2000) 3:43–69Google Scholar
• Çağlar M. A workload input model for packet data traffic. INFORMS Appl. Probab. Conf. (2001) New York(INFORMS, Baltimore, MD) Google Scholar
• Cao J., Cleveland W. S., Lin D., Sun D. X. On the nonstationarity of Internet traffic. Proc. ACM Sigmetrics (2001) (ACM Press, New York) Crossref, Google Scholar
• Chandramouli Y. A model for IP traffic generation. (1997) . Preprint, Bellcore, Navesink, NJGoogle Scholar
• Cioczek-Georges R., Mandelbrot B. B. Alternative micropulses and fractional Brownian motion. Stochastic Proc. Appl. (1996) 64:143–152Crossref, Google Scholar
• Ethier S. N., Kurtz T. G.Markov Processes (1986) (John Wiley and Sons, New York) Crossref, Google Scholar
• Heath D., Resnick S., Samorodnitsky G. Heavy tails and long range dependence in on/off processes and associated fluid models. Math. Oper. Res. (1998) 23:145–165Link, Google Scholar
• Heffes H., Lucantoni D. M. A Markov modulated characterization of packetized voice and data traffic and related statistical multiplexer performance. IEEE J. Selected Areas in Comm.: Special Issue on Network Performance Evaluation (1986) 6:856–868Crossref, Google Scholar
• Heyman D. P. Estimation of Markov modulated Poisson process models of IP traffic. INFORMS Appl. Probab. Conf. (2001) New York(INFORMS, Baltimore, MD) Google Scholar
• Jacod J., Shiryaev A.Limit Theorems for Stochastic Processes (1987) (Springer-Verlag, Berlin, Germany) Crossref, Google Scholar
• Kallenberg O.Random Measures (1983) (Academic Press, New York) Google Scholar
• Klüppelberg C., Mikosch T. Explosive Poisson shot noise processes with applications to risk reserves. Bernoulli (1995) 1:125–147Crossref, Google Scholar
• Klüppelberg C., Mikosch T., Schärf A. Regular variation in the mean and stable limits for Poisson shot noise. Bernoulli (2003) 9:467–496Crossref, Google Scholar
• Konstantopoulos T., Lin S. Macroscopic models for long-range dependent network traffic. Queueing Systems (1998) 28:215–243Crossref, Google Scholar
• Kurtz T., Kelly F. P., Zachary S., Ziedins I. Limit theorems for workload input models. Stochastic Networks: Theory and Applications (1996) (Clarendon Press, Oxford, U.K.) Google Scholar
• Levy J. B., Taqqu M. S. Renewal reward processes with heavy-tailed interrenewal times and heavy-tailed rewards. Bernoulli (2000) 6:23–44Crossref, Google Scholar
• Maulik K., Resnick S. Small and large time scale analysis of a network traffic model. (2001) . Technical report, Cornell University, Ithaca, NYGoogle Scholar
• Mikosch T., Resnick S., Rootzén H., Stegeman A. Is network traffic approximated by stable Lévy motion or fractional Brownian motion? Ann. Appl. Probab. (2002) 12:23–68Crossref, Google Scholar
• Norros I. On the use of fractional Brownian motion in the theory of connectionless networks. IEEE J. Selected Areas Comm. (1995) 13:953–962Crossref, Google Scholar
• Nuzman C., Saniee I., Sweldens W., Weiss A. A compound model for TCP connection arrivals for LAN and WAN applications. Comput. Networks (2002) 40:319–337Crossref, Google Scholar
• Pipiras V., Taqqu M. The limit of a renewal reward process is not a linear fractional stable motion. Bernoulli (2000) 6:607–614Crossref, Google Scholar
• Resnick S.Adventures in Stochastic Processes (1992) (Birkhauser, Boston, MA) Google Scholar
• Resnick S., van den Berg E. Weak convergence of high-speed network traffic models. J. Appl. Probab. (2000) 37:575–597Crossref, Google Scholar
• Samorodnitsky G., Taqqu M. S.Stable Non-Gaussian Random Processes (1994) (Chapman and Hall, New York) Google Scholar
• Taqqu M. S., Levy J., Eberlein E., Taqqu M. S. Using renewal processes to generate long-range dependence and high variability. Dependence in Probability and Statistics (1986) (Birkhauser, Boston, MA) 73–89Crossref, Google Scholar
• Taqqu M. S., Willinger W., Sherman R. Proof of a fundamental result in self-similar traffic modeling. Comput. Comm. Rev. (1997) 27:5–23Crossref, Google Scholar
• Willinger W., Paxon V., Reidi R., Taqqu M., Doukhan P., Oppenheim G., Taqqu M. S. Long-range dependence and data network traffic. Long-Range Dependence: Theory and Applications (2001) (Birkhauser, Boston, MA) Google Scholar