Estimating the Intensity of Long-Range Dependence in Real and Synthetic Traffic Traces

This paper examines various techniques for estimating the intensity of Long-Range Dependence (LRD). Trial data sets with LRD are generated using Fractional Gaussian noise and Markov modulated Poisson process. The real data set collected in IITiS PAN is also used.

[1]  Sukumar Nandi,et al.  Statistical analysis of network traffic inter-arrival , 2010, 2010 The 12th International Conference on Advanced Communication Technology (ICACT).

[2]  Tadeusz Czachórski,et al.  The Influence of Traffic Self-Similarity on QoS Mechanisms , 2005, 2005 Symposium on Applications and the Internet Workshops (SAINT 2005 Workshops).

[3]  Tadeusz Czachórski,et al.  A Few Investigations of Long-Range Dependence in Network Traffic , 2014, ISCIS.

[4]  Murad S. Taqqu,et al.  On estimating the intensity of long-range dependence in finite and infinite variance time series , 1998 .

[5]  Tadeusz Czachórski,et al.  Internet Traffic Source Based on Hidden Markov Model , 2011, NEW2AN.

[6]  Marc Boisseau,et al.  High-speed networks , 1994, Wiley series in communication and distributed systems.

[7]  Wolfgang Fischer,et al.  The Markov-Modulated Poisson Process (MMPP) Cookbook , 1993, Perform. Evaluation.

[8]  José R. Gallardo,et al.  Use of alpha-stable self-similar stochastic processes for modeling traffic in broadband networks , 2000, Perform. Evaluation.

[9]  C. Wojcik Springer international publishing switzerland , 2016 .

[10]  Vern Paxson,et al.  Fast, approximate synthesis of fractional Gaussian noise for generating self-similar network traffic , 1997, CCRV.

[11]  Bo Friis Nielsen,et al.  A Markovian approach for modeling packet traffic with long-range dependence , 1998, IEEE J. Sel. Areas Commun..

[12]  Zhengyuan Zhu,et al.  Long-range dependence analysis of Internet traffic , 2011 .

[13]  Tadeusz Czachórski,et al.  The Impact of Self-similarity on Traffic Shaping in Wireless LAN , 2008, NEW2AN.

[14]  Fotios C. Harmantzis,et al.  Fractional Lévy motion and its application to network traffic modeling , 2002, Comput. Networks.

[15]  J. R. Wallis,et al.  Computer Experiments With Fractional Gaussian Noises: Part 1, Averages and Variances , 1969 .

[16]  G. Rutka,et al.  Neural Network Models for Internet Traffic Prediction , 2006 .

[17]  Anne Lohrli Chapman and Hall , 1985 .

[18]  R. Hilgers,et al.  Parameter , 2019, Springer Reference Medizin.

[19]  강인혜,et al.  [서평]High-Speed Networks : TCP/IP and ATM Design Principles , 1999 .

[20]  FischerWolfgang,et al.  The Markov-modulated Poisson process (MMPP) cookbook , 1993 .

[21]  Richard G. Clegg Markov-modulated on/off processes for long-range dependent internet traffic , 2006, ArXiv.

[22]  Joanna Domańska,et al.  The Influence of Traffic Self-Similarity on QoS Mechanisms , 2005 .

[23]  B. Mandelbrot,et al.  Fractional Brownian Motions, Fractional Noises and Applications , 1968 .

[24]  Tadeusz Czachórski,et al.  Modeling Packet Traffic with the Use of Superpositions of Two-State MMPPs , 2014, CN.

[25]  Krzysztof Grochla,et al.  Source Model of TCP Traffic in LTE Networks , 2014, ISCIS.

[26]  J. Geweke,et al.  THE ESTIMATION AND APPLICATION OF LONG MEMORY TIME SERIES MODELS , 1983 .

[27]  Jean-Yves Le Boudec,et al.  New Models for Pseudo Self-Similar Traffic , 1997, Perform. Evaluation.

[28]  António Nogueira,et al.  Analyzing the relevant time scales in a network of queues , 2001, SPIE ITCom.

[29]  J. R. Wallis,et al.  Computer Experiments with Fractional Gaussian Noises: Part 2, Rescaled Ranges and Spectra , 1969 .

[30]  M. Taqqu,et al.  Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance , 1995 .

[31]  Joanna Domańska,et al.  The choice of optimal 3-rd order polynomial packet dropping function for NLRED in the presence of self-similar traffic , 2012 .

[32]  A. Isar,et al.  A comparison of some Hurst parameter estimators , 2012, 2012 13th International Conference on Optimization of Electrical and Electronic Equipment (OPTIM).

[33]  Azer Bestavros,et al.  Self-similarity in World Wide Web traffic: evidence and possible causes , 1996, SIGMETRICS '96.

[34]  Jan Beran,et al.  Statistics for long-memory processes , 1994 .

[35]  Parag Pruthi,et al.  An application of deterministic chaotic maps to model packet traffic , 1995, Queueing Syst. Theory Appl..

[36]  Michalis Faloutsos,et al.  Long-range dependence ten years of Internet traffic modeling , 2004, IEEE Internet Computing.

[37]  Christian Callegari,et al.  Waterfall: Rapid Identification of IP Flows Using Cascade Classification , 2014, CN.

[38]  Andrés Suárez-González,et al.  On the use of self-similar processes in network simulation , 2000, TOMC.

[39]  Marco Ajmone Marsan,et al.  Markov models of internet traffic and a new hierarchical MMPP model , 2005, Comput. Commun..

[40]  竹中 茂夫 G.Samorodnitsky,M.S.Taqqu:Stable non-Gaussian Random Processes--Stochastic Models with Infinite Variance , 1996 .

[41]  Patrice Abry,et al.  Wavelet Analysis of Long-Range-Dependent Traffic , 1998, IEEE Trans. Inf. Theory.

[42]  António Pacheco,et al.  Markovian Modelling of Internet Traffic , 2011, Network Performance Engineering.

[43]  Nicolas D. Georganas,et al.  On self-similar traffic in ATM queues: definitions, overflow probability bound, and cell delay distribution , 1997, TNET.

[44]  Donald F. Towsley,et al.  Self-similarity and long range dependence on the internet: a second look at the evidence, origins and implications , 2005, Comput. Networks.

[45]  Matthias Grossglauser,et al.  On the relevance of long-range dependence in network traffic , 1996, SIGCOMM '96.