| Meaning: |
-
Modeling of on-off sources in packet networks
-
Modeling of voice sources
|
| Description: |
-
State machine with 2 states (on/off, talkspurt/silence or burst/silence)
-
In the talkspurt state \(X\) cells/packets arrive at intervals of \(d\).
After that a silence phase of the duration \(S\) takes place.
-
Special case of the GMDP, if \(S\) is described by a compound distribution
with a constant distribution as inner distribution.
|
| Parameters: |
-
(discrete) distribution of the number of cells \(X\) in the talkspurt state
-
(continuous) distribution of silence duration \(S\)
-
arrival interval \(d\) ("inter-cell time") in the talkspurt state
|
| Characteristic values: |
-
Peak rate: \(h = \frac{1}{d}\)
-
Mean rate: \(m = \frac{E[X]}{E[X] \cdot d + E[S]}\)
-
Burstiness: \(b = \frac{h}{m} = 1 +\frac{E[S]}{E[X] \cdot d}\)
-
For given \(h\) and \(m\) (or \(h\) and \(b\) as well as \(E[X]\)):
\(h = \frac{1}{h}\), \(E[S] = E[X] \cdot (\frac{1}{m} - \frac{1}{h}) =
\frac{E[X]}{h} \cdot (b-1)\)
|
| Parser example: |
[...].Dist = TalkspurtSilenceDistribution
[...].Dist.TalkspurtDistribution = ShiftedGeometric
[...].Dist.TalkspurtDistribution.Mean = 20
[...].Dist.SilenceDistribution = NegExp
[...].Dist.SilenceDistribution.Mean = 800
[...].Dist.SilenceDistribution.InterCellTime = 10
|
| References: |
-
P. J. KÜHN: Reminder on queueing theory for ATM networks. Telecommunication
Systems, No. 5, 1996, pp. 1-24.
-
G. D. STAMOULIS, M. E. ANAGNOSTOU, A. D. GEORGANTAS: Traffic source models
for ATM networks: a survey." Computer Communications, Vol. 17, No. 6, Juni,
1994.
|