Saint-Petersburg State University of Telecommunications

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), k  Z+, 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 !