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A • STATISTICAL DISTRIBUTIONS<br />

Exponential(): EXPONENTIAL(Mean) or EXPO(Mean)<br />

Probability<br />

Density<br />

Function<br />

f(x) =<br />

1<br />

--e – x <br />

<br />

0 otherwise<br />

for x > 0<br />

Parameters<br />

The mean () specified as a positive real number.<br />

Range<br />

[0, + <br />

Mean<br />

<br />

Variance 2<br />

Applications<br />

This distribution is often used to model inter-event times in random arrival and<br />

breakdown processes, but it is generally inappropriate for modeling process delay<br />

times.<br />

In Arena’s Create module, the Schedule option automatically samples from an<br />

exponential distribution with a mean that changes according to the defined schedule.<br />

This is particularly useful in service applications, such as retail business or call<br />

centers, where the volume of customers changes throughout the day.<br />

159

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