Saint-Petersburg State University of Telecommunications



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Saint-Petersburg State University of Telecommunications

  • Analysis of IP-oriented Multiservice Networks Characteristics with Consideration of Traffic’s Self-Similarity Properties


  • OUTLINE



  • OUTLINE



NGN – next generation network

  • NGN is united network

  • Supports different types of traffic

  • Built on the base of the universal technology

  • Divides switching, signaling and management

  • Provides mentioned QoS (quality of service)





NGN architecture



IP oriented networks





  • OUTLINE







Three definitions

  • 1.Exactly second-order self-similar (es-s) with the parameter H=1  (/ 2), 0< <1

  • If rm(k) = r(k), kZ+, m  {2,3,…}

  • 2.Second-order asymptotical self-similar (as-s) with the parameter H=1  (/ 2), 0< <1

  • If

  • 3.Strictly self-similar (ss-s) with the parameter H=1  (/ 2), 0< <1

  • If m1-H X(m) = X, mN





  • OUTLINE



X – random value

  • X – random value

  • F(x)=P(X

  • It determines probability of random value X

  • f(x)=dF(x)/dx – probability destiny f(x)≥0

  • M[x] – mathematical expectation

  • D[x] – dispersion, σ – root-mean-square deviation

  • - quadratic coefficient of variation



Heavy-tailed distributions





Weibull distribution



Log-normal distribution



  • OUTLINE



Kendall classification

  • A/B/V/K/N





Further researches

  • Now – about 10000 works about self-similarity



Researches in Russia







Insertion of limitation for real values of random quantities









Multiservice traffic modeling



ns2



Results of modeling



Conclusions



THANK YOU !

  • THANK YOU !



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