Semi-Experiments and the Modelling of Internet Traffic - SAMSI

Use Gamma Inter-arrivals for A
Semi-experiments: Poisson (stationarity) reasonable, but burstiness needed
Gamma-Renewal: Not an Arbitrary Choice:
• Contains exponential as special case
• Has a scale parameter of the right form: b ∝ λ −1
A
• Flexible family with minimum number of physical parameters
• Explicit cf:
Φ A (ω; b, c) = (1 − ibω) −c
• Explicit spectrum:
Γ X (ν) = λ A [(1 − Φ A (ω)) −1 + (1 − Φ A (−ω)) −1 − 1]
• Spectrum monotone for c < 1 (over-dispersed)
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