Rockwell Automation Arena Users Guide - Manual (Page 126)

A RENA U SER ’ S G UIDE
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Exponential(
β
)EXPONENTIAL(Mean) or EXPO(Mean)
The mean ( β ) specified as a positive real number.
[0, +
β
β 2
This distribution is often used to model inter-event times in random arrival and break-
down processes, but it is generally inappropriate for modeling process delay times.
In Arena’s Create module, the Schedule option automatically samples from an exponential
distribution with a mean that changes according to the defined schedule. This is particu-
larly useful in service applications, such as retail business or call centers, where the volume
of customers changes throughout the day.
Probability
Density
Function
1
β
---e
x β ⁄ –
f(x) =
for x > 0
0 otherwise
Parameters
Range ∞ )
Mean
Variance
Applications