On Internet Traffic Dynamics and Internet Topology II

Internet Model Validation

Topics Covered

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 Mandelbrot’s Construction

A Closely Related Construction

Mandelbrot’s Types of “Randomness”

Mandelbrot’s Types of “Burstiness”

Type of Burstiness: “Smooth”

Type of Burstiness: “bursty”

Type of Burstiness: “Bursty”

Type of Burstiness: “BURSTY”

 Mathematical Framework

Mathematical Result (1)

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Mathematical Result (2)

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A New Model Validation Approach

The “Closing the Loop” Approach

Why “Closing the Loop” is Progress

Illustration of the
“Closing the Loop” Approach

Example 0:
Self-Similarity – High Variability

Theory-based IP Flow Property

Measured IP Flow Sizes

Example 1:
Poisson vs. Self-Similar

Claims and Supporting Evidence

Bottom-line

Example 2:
Chaos and Self-Similarity

Claims and Supporting Evidence

Bottom-line

Example 3: Self-Organized Criticality (SOC) and the Internet

Claims and Supporting Evidence

Bottom-line

Example 4: The “New Science of Networks” and the Internet

Claims and Supporting Evidence

Bottom-line

Lesson Learned