Statistical distributions – Rockwell Automation Arena Users Guide User Manual

Page 119

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Statistical Distributions

Arena contains a set of built-in functions for generating random numbers from the
commonly used probability distributions. These distributions appear on pull-down menus
in many Arena modules where they’re likely to be used. They also match the distributions
in the Arena Input Analyzer. This appendix describes all of the Arena distributions.

Each of the distributions in Arena has one or more parameter values associated with it.
You must specify these parameter values to define the distribution fully. The number,
meaning, and order of the parameter values depend on the distribution. A summary of the
distributions (in alphabetical order) and parameter values is given in the table below.

Summary of Arena’s Probability Distributions

Distribution

Parameter Values

Beta

BETA

Beta, Alpha

Continuous

CONT

CumP

1

,Val

1

, . . . CumP

n

,Val

n

Discrete

DISC

CumP

1

,Val

1

, . . . CumP

n

,Val

n

Erlang

ERLA

ExpoMean, k

Exponential

EXPO

Mean

Gamma

GAMM

Beta, Alpha

Johnson

JOHN

Gamma, Delta, Lambda, Xi

Lognormal

LOGN

LogMean, LogStd

Normal

NORM

Mean, StdDev

Poisson

POIS

Mean

Triangular

TRIA

Min, Mode, Max

Uniform

UNIF

Min, Max

Weibull

WEIB

Beta, Alpha

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