[e2e] simulation using self-similar traffic
huang at tik.ee.ethz.ch
Tue Apr 3 08:45:35 PDT 2001
This depends a lot on what metrics you're interested and how you
generate the self-similar traffic.
According to Crovella and Lipsky's chapter in 'Self-similar Network
Traffic and Performance Evaluation' edited by Park and Willinger, if
you're measuring average throughput and using heavy-tailed file sizes
with a small alpha, say 1.2, you'll need to simulate 10^12 samples to
get 2-digit accuracy. This is not feasible in practice (at least with
However, the above applies specifically to 'average' throughput.
For metrics like 90% quantile of the throughput, I have been using
the following heuristics:
1. plot the 90% quantile of the file sizes for different numbers of
samples (using MATLAB or Splus, see the attached ps for example)
2. identify where the value converges
3. simulate at minimum that amount of samples
This might not be sufficient theoretically but necessary intuitively.
And I hope this helps.
On Tue, 3 Apr 2001, Soo-hyeong Lee wrote:
> Could you please tell me how long should I run a simulation to obtain a sufficiently confident result when using a self-similar traffic trace?
> I want to show the performance of a scheme in the 'general' case which consists of mixture of busy period and silent period.
> However, a self-similar traffic trace can have very long busy period and very long silent period with unnegligible probability. Then any fixed simulation time can be entirely filled with either busy period or silent period with unnegligible probability.
> Is there any recommendation on simulation time (or how many independent simulations should be run) to yield something like 90% confidence interval.
> Thanks and regards.
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