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2014 | OriginalPaper | Chapter

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

Authors : Ranadheer Donthi, Ramesh Renikunta, Rajaiah Dasari, Malla Reddy Perati

Published in: Fractals, Wavelets, and their Applications

Publisher: Springer International Publishing

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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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Literature
1.
go back to reference 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)CrossRef 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)CrossRef
2.
go back to reference Crovella, M., Bestavros, A.: Self-similarity in World Wide Web traffic: evidence and possible causes. IEEE/ACM Trans. Netw. 835–846 (1997) Crovella, M., Bestavros, A.: Self-similarity in World Wide Web traffic: evidence and possible causes. IEEE/ACM Trans. Netw. 835–846 (1997)
3.
go back to reference 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) 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)
4.
go back to reference 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) 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)
5.
go back to reference 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)CrossRef 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)CrossRef
6.
go back to reference Paxson, V., Floyd, S.: Wide area traffic: the failure of poisson modeling. IEEE/ACM Trans. Netw. 3, 226–244 (1995)CrossRef Paxson, V., Floyd, S.: Wide area traffic: the failure of poisson modeling. IEEE/ACM Trans. Netw. 3, 226–244 (1995)CrossRef
7.
go back to reference 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)CrossRef 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)CrossRef
8.
go back to reference 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)CrossRefMATH 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)CrossRefMATH
Metadata
Title
Self-Similar Network Traffic Modeling Using Circulant Markov Modulated Poisson Process
Authors
Ranadheer Donthi
Ramesh Renikunta
Rajaiah Dasari
Malla Reddy Perati
Copyright Year
2014
DOI
https://doi.org/10.1007/978-3-319-08105-2_29

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