Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
New Channel Access Approach for the IEEE 802.15.4 Devices in 2.4 GHz ISM Band Read chapter Read first chapter

2014 | OriginalPaper | Chapter

A Few Investigations of Long-Range Dependence in Network Traffic

Authors : Joanna Domańska, Adam Domańska, Tadeusz Czachórski

Published in: Information Sciences and Systems 2014

Publisher: Springer International Publishing

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The paper presents measurements and analysis of a LAN long-range dependence traffic collected in IITiS PAN (The Institute of Theoretical and Applied Informatics of the Polish Academy of Sciences). Several methods of Hurst parameter estimation were used, the results obtained by the methods differ substantially. The analysis was made for the whole traffic and traffics generated by particular types of protocols. We seek for a dependence of Hurst parameter on a protocol type. Then, a MMPP (Markov-Modulated Poisson Process) model was applied to mimic the traces. It allows us to consider Markovian queueing models with long-range dependent and self-similar traffic, an important factor as we dispose an efficient software tool to solve numerically very large continuous-time Markov chains.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Source Model of TCP Traffic in LTE Networks
next chapter Open Architecture for Quality of Service Monitoring at a National Research and Education Network
Literature
1.
C. Park, F. Hernandez-Campos, L. Long, J. Marron, J. Park, V. Pipiras, F. Smith, R. Smith, M. Trovero, Z. Zhu, Long range dependence analysis of internet traffic. J. Appl. Stat. 38(7), 1407–1433 (2011)CrossRefMathSciNet
2.
P. Loiseau, P. Gonçalves, G. Dewaele, P. Borgnat, P. Abry, P.V.B. Primet, Investigating self-similarity and heavy-tailed distributions on a large-scale experimental facility. IEEE/ACM Trans. Netw. 18(4), 1261–1274 (2010)CrossRef
3.
Bhattacharjee, A., Nandi, S.: Statistical analysis of network traffic inter-arrival. In: Proceedings of the 12th International Conference on Advanced Communication Technology, ICACT’10, pp. 1052–1057. IEEE Press (2010)
4.
Y. Kim, P. Min, On the prediction of average queueing delay with self-similar traffic. in: Proceedings of IEEE Globecom’03, vol. 5, pp. 2987–2991 (2003)
5.
A. Gorrasi, R. Restino, Experimental comparison of some scheduling disciplines fed by self-similar traffic. Proc. IEEE Int. Conf. Comm. 1, 163–167 (2003)
6.
L. Muscariello, M. Mellia, M. Meo, M. Ajmone Marsan, R. Lo Cigno, Markov models of internet traffic and a new hierarchical mmpp model. Comput. Commun. 28(16), 1835–1851 (2005)CrossRef
7.
B.B. Mandelbrot, J. Wallis, Computer experiments with fractional gaussian noises. Water Resour. Res. 5, 228–267 (1969)CrossRef
8.
A. Nogueira, P. Salvador, R. Valadas, A. Pacheco, Markovian Modelling of Internet Traffic, Network performance engineering (Springer, Berlin, 2011), pp. 98–124CrossRef
9.
R.G. Clegg, Markov-modulated on/off processes for long-range dependent internet traffic. CoRR abs/cs/0610135 (2006)
10.
J. Beran, Statistics for long-memory processes, Monographs on statistics and applied probability (Chapman & Hall, London, 1994)
11.
R. Clegg, A practical guide to measuring the hurst parameter. 21st UK Performance Engineering Workshop, School of Computing Science Technical Report Series, CSTR-916, University of Newcastle pp. 43–55 (2006)
12.
J. Geweke, S. Porter-Hudak, The estimation and application of long memory time series models. J. Time Ser. Anal. 4, 221–238 (1983)CrossRefMATHMathSciNet
13.
H. Kunsch, Statistical aspects of self-similar processes. in: Proceedings of 1st World Congress Bernoulli Soc., pp. 67–74. VNU Science Press (1987)
14.
P. Robinson, Gaussian semiparametric estimation of long range dependence. Ann. Stat. 23, 1630–1661 (1995)CrossRefMATH
15.
16.
S. Maheshwari, S. Mahapatra, C. Kumar, K. Vasu, A joint parametric prediction model for wireless internet traffic using hidden markov model. Wirel. Netw. 19(6), 1171–1185 (2013)CrossRef
17.
P. Foremski, C. Callegari, M. Pagano, Waterfall: Rapid identification of ip flows using cascade classification, Computer Networks, Communications in Computer and Information Science (Springer, Switzerland, 2014), pp. 14–23CrossRef
18.
A. Erramilli, R. Singh, P. Pruthi, An application of deterministic chaotic maps to model packet traffic. Queueing Syst. 20(1–2), 171–206 (1995)CrossRefMATHMathSciNet
19.
J.R. Gallardo, D. Makrakis, L. Orozco-Barbosa, Use of \(\alpha \)-stable self-similar stochastic processes for modeling traffic in broadband networks. Perform. Eval. 40(1–3), 71–98 (2000)CrossRefMATH
20.
F.C. Harmantzis, D. Hatzinakos, Heavy network traffic modeling and simulation using stable farima processes. in: 19th International Teletraffic Congress, pp. 300–303. Beijing, China (2005)
21.
N. Laskin, I. Lambadatis, F. Harmantzis, M. Devetsikiotis, Fractional levy motion and its application to network traffic modeling. Comput. Netw. 40(3), 363–375 (2002)CrossRef
22.
S. Robert, J.Y. Le Boudec, New models for pseudo self-similar traffic. Perform. Eval. 30(1–2), 57–68 (1997)CrossRef
23.
J. Domańska, A. Domański, T. Czachórski, The drop-from-front strategy in aqm. Lect. Notes Comput. Sc. 4712, 61–72 (2007)CrossRef
24.
J. Domańska, A. Domański, T. Czachórski, Internet traffic source based on hidden markov model. Lect. Notes Comput. Sc. 6869, 395–404 (2011)CrossRef
25.
J. Domańska, D. Augustyn, A. Domański, The choice of optimal 3-rd order polynomial packet dropping function for nlred in the presence of self-similar traffic. Bull. Pol. Ac.: Tech. 60(4), 779–786 (2012)
26.
A.T. Andersen, B.F. Nielsen, A markovian approach for modeling packet traffic with long-range dependence. IEEE J. Sel. A. Commun. 16(5), 719–732 (2006)CrossRef
27.
G. Casale, Building accurate workload models using markovian arrival processes. SIGMETRICS Perform. Eval. Rev. 39(1), 357–358 (2011)CrossRef
28.
29.
H. Okamura, Y. Kamahara, T. Dohi, Estimating markov-modulated compound poisson processes. In: Proceedings of the 2nd International Conference on Performance Evaluation Methodologies and Tools, ValueTools ’07, pp. 28:1–28:8 (2007)
30.
J. Domańska, A. Domański, T. Czachórski, Modeling packet traffic with the use of superpositions of two-state mmpps, Computer Network, Communications in Computer and Information Science (Springer, Switzerland, 2014), pp. 24–36CrossRef
31.
C. Stolojescu, A. Isar, A comparison of some hurst parameter estimators. in: Proceedings of Optim, pp. 1152–1157 (2012)
Metadata
Title
A Few Investigations of Long-Range Dependence in Network Traffic
Authors
Joanna Domańska
Adam Domańska
Tadeusz Czachórski
Copyright Year
2014
Book
Information Sciences and Systems 2014

Print ISBN: 978-3-319-09464-9

Electronic ISBN: 978-3-319-09465-6

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-09465-6_15

Premium Partner

    Image Credits