Hurst Hurst parameter parameter Capacity Variance Variance Blocking probability Buffer Buffer size size MeanMean Blocking probability Capacity Helpful for Network Engineering Traffic Engineering Network Planning
Mean Variance Hurst parameter Capacity Buffer size Blocking probability Mean Variance Hurst parameter Blocking probability Buffer size Capacity Helpful for Traffic Engineering Network Engineering & Network Planning 16
Outline Introduction Poisson Lomax Burst Process(PLBP) Queue Fractional Brownian motion(fBm) Qr ueue Conclusions
Introduction Poisson Lomax Burst Process (PLBP) Queue Fractional Brownian motion (fBm) Queue Conclusions 17
Poisson lomax Burst process The process is based on a stream of bursts Burst arrivals following a poisson process with rate a bursts/s Burst durations d are iid Lomax random variables with parameters y and 8. Each burst contributes work with constant rate r B/s PLBP: Ap t20, where A is the work contributed by all bursts during the interval (0, t/
The process is based on a stream of bursts. Burst arrivals following a Poisson process with rate λ [bursts/s]. Burst durations, d, are i.i.d. Lomax random variables with parameters γ and δ. Each burst contributes work with constant rate r [B/s]. PLBP: {At , t≥0}, where At is the work contributed by all bursts during the interval (0,t]. 18