Skip to main content
Erschienen in: The Journal of Supercomputing 5/2015

01.05.2015

Modern network traffic modeling based on binomial multiplicative cascades

verfasst von: Jeferson Wilian de Godoy Stênico, Lee Luan Ling

Erschienen in: The Journal of Supercomputing | Ausgabe 5/2015

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper we present a new multifractal approach for modern network traffic modeling. The proposed method is based on a novel construction scheme of conservative multiplicative cascades. We show that the proposed model can faithfully capture some main characteristics (scaling function and moment factor) of multifractal processes. For this new network traffic model, we also explicitly derive analytical expressions for the mean and variance of the corresponding network traffic process and show that its autocorrelation function exhibits long-range dependent characteristics. Finally, we evaluate the performance of our model by testing both real wired and wireless traffic traces, comparing the obtained results with those provided by other well-known traffic models reported in the literature. We found that the proposed model is simple and capable of accurately representing network traffic traces with multifractal characteristics.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

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!

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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Leland W, Taqqu M, Willinger W, Wilson D (1994) On the self-similar nature of ethernet traffic (extended version). IEEE/ACM Trans Netw 2(1):1–15 Leland W, Taqqu M, Willinger W, Wilson D (1994) On the self-similar nature of ethernet traffic (extended version). IEEE/ACM Trans Netw 2(1):1–15
2.
Zurück zum Zitat Riedi RH, Crouse MS, Ribeiro VJ, Baraniuk RG (1990) A multifractal wavelet model with application to network traffic. IEEE Trans Inf Theory. Special Issue on Multiscale Signal Analysis and Modeling, 45: 992–1018 Riedi RH, Crouse MS, Ribeiro VJ, Baraniuk RG (1990) A multifractal wavelet model with application to network traffic. IEEE Trans Inf Theory. Special Issue on Multiscale Signal Analysis and Modeling, 45: 992–1018
3.
Zurück zum Zitat Vieira FHT, Lee LL (2009) Adaptive wavelet based multifractal model applied to the effective bandwidth estimation of network traffic flows. IET Communications. pp 906–919 Vieira FHT, Lee LL (2009) Adaptive wavelet based multifractal model applied to the effective bandwidth estimation of network traffic flows. IET Communications. pp 906–919
4.
Zurück zum Zitat Krishna PM, Gadre VM, Desai UB (2003) Multifractal based network traffic modeling. Kluwer Academic Publishers, Boston, MA Krishna PM, Gadre VM, Desai UB (2003) Multifractal based network traffic modeling. Kluwer Academic Publishers, Boston, MA
5.
Zurück zum Zitat Xu Z, Wang L, Wang K (2011) A new multifractal model based on multiplicative cascade. Inf Technol J 10:452–456CrossRef Xu Z, Wang L, Wang K (2011) A new multifractal model based on multiplicative cascade. Inf Technol J 10:452–456CrossRef
6.
Zurück zum Zitat Peltier R, Véhel JL (1995) Multifractional brownian motion: definition and preliminary results. Technical Report 2695, INRIA Peltier R, Véhel JL (1995) Multifractional brownian motion: definition and preliminary results. Technical Report 2695, INRIA
7.
Zurück zum Zitat Vieira FHT, Bianchi GR, Lee LL (2010) A network traffic prediction approach based on multifractal modeling. J High Speed Netw 17(2):83–96 Vieira FHT, Bianchi GR, Lee LL (2010) A network traffic prediction approach based on multifractal modeling. J High Speed Netw 17(2):83–96
8.
Zurück zum Zitat Kolmogorov AN (1941) The local structure of turbulence in a compressible liquid for very large Reynolds numbers. CR (Dokl) Acad Sci URSS (NS) 30:301–305 Kolmogorov AN (1941) The local structure of turbulence in a compressible liquid for very large Reynolds numbers. CR (Dokl) Acad Sci URSS (NS) 30:301–305
9.
Zurück zum Zitat Aloud M, Tsang E, Dupuis A, Olsen R (2011) Minimal agent-based model for the origin of trading activity in foreign exchange market. In: Computational intelligence for financial engineering and economics (CIFEr), pp 1–8 Aloud M, Tsang E, Dupuis A, Olsen R (2011) Minimal agent-based model for the origin of trading activity in foreign exchange market. In: Computational intelligence for financial engineering and economics (CIFEr), pp 1–8
10.
Zurück zum Zitat Paschalis A, Molnar P, Burlando P (2012) Temporal dependence structure in weights in a multiplicative cascade model for precipitation. Water Resour Res 48:W01501CrossRef Paschalis A, Molnar P, Burlando P (2012) Temporal dependence structure in weights in a multiplicative cascade model for precipitation. Water Resour Res 48:W01501CrossRef
11.
Zurück zum Zitat Stephen DG, Anastas JR, Dixon JA (2012) Scaling in cognitive performance reflects multiplicative multifractal cascade dynamics. In: Frontiers in physiology, fractal physiology 3:102. doi: 10.3389/fphys.2012.00102 Stephen DG, Anastas JR, Dixon JA (2012) Scaling in cognitive performance reflects multiplicative multifractal cascade dynamics. In: Frontiers in physiology, fractal physiology 3:102. doi: 10.​3389/​fphys.​2012.​00102
12.
Zurück zum Zitat Feldmann A, Gilbert AC, Willinger W (1997) Data networks as cascades: investigating the multifractal nature of internet WAN traffic. Proc. Of 35th Annual Allerton Conf. on communications, control, and computing, pp 269–280 Feldmann A, Gilbert AC, Willinger W (1997) Data networks as cascades: investigating the multifractal nature of internet WAN traffic. Proc. Of 35th Annual Allerton Conf. on communications, control, and computing, pp 269–280
13.
Zurück zum Zitat Fisher A, Calvet L, Mandelbrot BB (1997) Multifractality of Deutschmark/US dollar exchanges rates. Yale University Fisher A, Calvet L, Mandelbrot BB (1997) Multifractality of Deutschmark/US dollar exchanges rates. Yale University
14.
Zurück zum Zitat Dang TD, Molnár S, Maricza I (2003) Queuing performance estimation for general multifractal traffic. Int J Commun Syst 16(2):117–136CrossRefMATH Dang TD, Molnár S, Maricza I (2003) Queuing performance estimation for general multifractal traffic. Int J Commun Syst 16(2):117–136CrossRefMATH
15.
Zurück zum Zitat Mandelbrot BB (1974) Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier. J Fluid Mech 62:331–358 Mandelbrot BB (1974) Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier. J Fluid Mech 62:331–358
16.
Zurück zum Zitat Guivarc’h Y (1987) Remarques sur les solutions d’ une equation fonctionnelle non linéaire de Benoît Mandelbrot. Comptes Rendus (Paris) 305I(139):1987MathSciNet Guivarc’h Y (1987) Remarques sur les solutions d’ une equation fonctionnelle non linéaire de Benoît Mandelbrot. Comptes Rendus (Paris) 305I(139):1987MathSciNet
17.
Zurück zum Zitat Stolojescu-Crisan C, Isar A, Moga S, Lenca P (2013) WiMax traffic analysis and base stations classifications in terms of LRD. Expert Systems 30(4):285–293. doi:10.1111/exsy.12026 CrossRef Stolojescu-Crisan C, Isar A, Moga S, Lenca P (2013) WiMax traffic analysis and base stations classifications in terms of LRD. Expert Systems 30(4):285–293. doi:10.​1111/​exsy.​12026 CrossRef
18.
Zurück zum Zitat Jizba P, Korbel J (2013) Modeling financial time series: multifractal cascades and Rényi entropy. In: Interdisciplinary symposium on complex systems emergence, complexity and computation. ISCS 2013, vol 8, pp 227–236 Jizba P, Korbel J (2013) Modeling financial time series: multifractal cascades and Rényi entropy. In: Interdisciplinary symposium on complex systems emergence, complexity and computation. ISCS 2013, vol 8, pp 227–236
19.
Zurück zum Zitat Seuret S, Lévy-Véhel J (2000) The local holder function of a continuous function. Appl Comput Harmon Anal 13(3):263–276CrossRef Seuret S, Lévy-Véhel J (2000) The local holder function of a continuous function. Appl Comput Harmon Anal 13(3):263–276CrossRef
23.
Zurück zum Zitat Falconer K (2003) Fractal geometry: mathematical foundations and applications. Second Edition Wiley; 2 edition Falconer K (2003) Fractal geometry: mathematical foundations and applications. Second Edition Wiley; 2 edition
24.
Zurück zum Zitat Véhel JL (2013) Large deviation multifractal analysis of a class of additive processes with correlated non-stationary increments. IEEE/ACM Trans Netw 21(4):1309–1321CrossRef Véhel JL (2013) Large deviation multifractal analysis of a class of additive processes with correlated non-stationary increments. IEEE/ACM Trans Netw 21(4):1309–1321CrossRef
25.
Zurück zum Zitat Crouse MS, Baraniuk RG, Ribeiro VJ, Riedi RH (2000) Multiscale queueing analysis of long-range dependent traffic. Proc IEEE INFOCOM 2:1026–1035 Crouse MS, Baraniuk RG, Ribeiro VJ, Riedi RH (2000) Multiscale queueing analysis of long-range dependent traffic. Proc IEEE INFOCOM 2:1026–1035
27.
Zurück zum Zitat Pavlov AN, Anishchenko VS (2007) Multifractal analysis of complex signals. Phys Uspekhi 50:819–834CrossRef Pavlov AN, Anishchenko VS (2007) Multifractal analysis of complex signals. Phys Uspekhi 50:819–834CrossRef
28.
Zurück zum Zitat Zhang ZL, Ribeiro VJ, Moon S, Diot C (2003) Small-time scaling behaviors of internet backbone traffic: an empirical study”, INFOCOM 2003. Twenty-Second Annual Joint Conference of the IEEE Computer and Communications Societies 3:1826–1836 Zhang ZL, Ribeiro VJ, Moon S, Diot C (2003) Small-time scaling behaviors of internet backbone traffic: an empirical study”, INFOCOM 2003. Twenty-Second Annual Joint Conference of the IEEE Computer and Communications Societies 3:1826–1836
Metadaten
Titel
Modern network traffic modeling based on binomial multiplicative cascades
verfasst von
Jeferson Wilian de Godoy Stênico
Lee Luan Ling
Publikationsdatum
01.05.2015
Verlag
Springer US
Erschienen in
The Journal of Supercomputing / Ausgabe 5/2015
Print ISSN: 0920-8542
Elektronische ISSN: 1573-0484
DOI
https://doi.org/10.1007/s11227-014-1255-1

Weitere Artikel der Ausgabe 5/2015

The Journal of Supercomputing 5/2015 Zur Ausgabe