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Fractals, Wavelets, and their Applications pp 437–444Cite as

Self-Similar Network Traffic Modeling Using Circulant Markov Modulated Poisson Process

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 92))

Abstract

Most of the classical self-similar traffic models are asymptotic in nature. Hence, they are not suitable for queuing based performance evaluation. In this paper, we propose a model for self-similar traffic using Circulant Markov modulated Poisson process (CMMPP). This model is to match the variance of self-similar traffic and that of CMMPP over a time-scale. The resultant CMMPP consists of several two-state CMMPPs. We conclude from the numerical examples that self-similar traffic can be well represented by the proposed model.

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References

  1. Anderson, A.T., Nielsen, B.F.: A Markovian approach for modeling packet traffic with long range dependence. IEEE J. Sel. Area Comm. 16(5), 719–732 (1998)

    Article  Google Scholar 

  2. Crovella, M., Bestavros, A.: Self-similarity in World Wide Web traffic: evidence and possible causes. IEEE/ACM Trans. Netw. 835–846 (1997)

    Google Scholar 

  3. De Cock, K., Van Gestel, T., De Moo, B.: Identification of circulant modulated poisson process a time domain approach, Proceeding of MTNS, 739–742 (1998)

    Google Scholar 

  4. Kasahara, S.: Internet traffic modelling: Markovian approach to self-similar traffic and prediction of loss probability for finite queues, special issue on internet technology. IEICE Trans. Comm. E84-B(8), 2134–2141 (2001)

    Google Scholar 

  5. Leland, W.E., Taqqu, M.S., Willinger, W., Wilson, D.V.: On the self-similar nature of ethernet traffic (extended version). IEEE/ACM Trans. Netw. 2, 1–15 (1994)

    Article  Google Scholar 

  6. Paxson, V., Floyd, S.: Wide area traffic: the failure of poisson modeling. IEEE/ACM Trans. Netw. 3, 226–244 (1995)

    Article  Google Scholar 

  7. Shao, S.K., Perati, M.R., Tsai, M.G., Tsao, H.W., Wu, J.: Generalized variance-based Markovian fitting for self-similar traffic modeling. IEICE Trans. Comm. E88-B(12), 4659–4663 (2005)

    Article  Google Scholar 

  8. Yoshihara, T., Kasahara, S., Takahashi, Y.: Practical time-scale fitting of self-similar traffic with Markov-modulated Poisson process. Telecommun. Syst. 17, 185–211 (2001)

    Article  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Mathematics, Medak College of Engineering and Technology, Medak, AP, India

    Ranadheer Donthi

  2. Department of Mathematics, Kakatiya Institute of Technology and Science, Warangal, AP, India

    Ramesh Renikunta

  3. Department of Mathematics, Kakatiya University, Warangal, AP, India

    Rajaiah Dasari & Malla Reddy Perati

Authors
  1. Ranadheer Donthi
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  2. Ramesh Renikunta
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  3. Rajaiah Dasari
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  4. Malla Reddy Perati
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Corresponding author

Correspondence to Ranadheer Donthi .

Editor information

Editors and Affiliations

  1. Institut für Mathematik und Informatik, Universität Greifswald, Greifswald, Mecklenburg-Vorpomm., Germany

    Christoph Bandt

  2. Mathematical Sciences Institute, Australian National University, Canberra, Australia

    Michael Barnsley

  3. Math Department, Boston University, Boston, Massachusetts, USA

    Robert Devaney

  4. Mathematical Institute, University of St Andrews, St Andrews, Fife, United Kingdom

    Kenneth J. Falconer

  5. Department of Mathematics and Statistics, University of Hyderabad, Hyderabad, India

    V. Kannan

  6. Department of Basic Sciences & Humanities, Rajagiri School of Engineering & Technology, Kerala, India

    Vinod Kumar P.B.

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© 2014 Springer International Publishing Switzerland

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Donthi, R., Renikunta, R., Dasari, R., Perati, M.R. (2014). Self-Similar Network Traffic Modeling Using Circulant Markov Modulated Poisson Process. In: Bandt, C., Barnsley, M., Devaney, R., Falconer, K., Kannan, V., Kumar P.B., V. (eds) Fractals, Wavelets, and their Applications. Springer Proceedings in Mathematics & Statistics, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-08105-2_29

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