Statistical distributions – Rockwell Automation Arena Users Guide User Manual
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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