gompertz¶

Syntax¶

gompertz(n, b)

Parameters¶

n: A numeric expression representing the shape for the distribution.
b: A numeric expression representing the scale for the distribution.

Returns¶

Return a number consistent with a Gompertz distribution.

Description¶

This action returns a variate of a Gompertz distribution. This distribution behaves according to the formula.

\[ \log\left(1 - \frac{b}{n} \cdot \log(\text{random})\right) / b \]

The two parameters are typically referred to as the shape (n) and scale (b) for the distribution.

The action returns a single value for the current agent that is consistent with the distribution. Over a large number of agents, the returned values will collectively represent the specified distribution.

Examples¶

The following state will make entering agents collectively wait with a Gompertz distribution with shape of 5 and scale of 1) of individual hourly wait times:

state Demo {
    wait(gompertz(5, 1))
    default(Excluded)
}