Rockwell-automation Arena Basic Edition Users Guide Instrukcja Użytkownika Pobierz pdf (Strona 73)

A • STATISTICAL DISTRIBUTIONS

• • • • •

A • Statistical Distributions

Gamma(

)GAMMA(Beta, Alpha) or GAMM(Beta, Alpha)

Shape parameter (

) and scale parameter (

) specified as positive real values.

[0, +

αβ

For integer shape parameters, the gamma is the same as the Erlang distribution. The

gamma is often used to represent the time required to complete some task (e.g., a

machining time or machine repair time).

Probability

Density

Function

f(x) =

0otherwise

for x > 0

where Γ is the complete

gamma function given by

Γα() t

α 1–

1–

∞

∫

α–

α 1–

x β⁄–

Γα()

-----------------------------------

Parameters

Range

∞)

Mean

Variance

Applications

1 2 ... 68 69 70 71 72 73 74 75 76 77 78 ... 89 90

USER’S GUIDE 1
Contents 3
4 • Using Visio and Arena 51 4
Index 81 5
What is Arena Basic Edition? 7
Intended audience 7
Where can I go for help? 8
Reference the user’s guides 8
Explore our examples 8
Get help 8
Use the SMARTs library 8
Get phone support 9
Get Web support 9
Get training 10
Get consulting services 10
Contact us 10
Getting Started 11
• • • • • 12
Process the applications 14
How do I use Snap and Grid? 15
What is a module? 17
Define model data 18
What are entities? 19
Complete? (Decide module) 21
Prepare for the simulation 24
Save the simulation model 24
Simulate the process 24
View simulation reports 26
Rerun the simulation 32
What is a model thumbnail? 32
Next steps 33
The Basic Process Panel 35
Dispose module 36
Process module 37
Decide module 40
Batch module 41
Separate module 42
Assign module 43
Record module 44
Data modules 46
Entity module 46
Queue module 47
Resource module 48
Variable module 49
Schedule module 50
Set module 52
Calendar schedule information 53
Time Pattern 53
Calendar Exceptions 55
Calendar States 56
Using Visio and Arena 57
Start a drawing 58
Place and connect shapes 59
Enter custom properties 60
Add data shapes 61
Check the drawing 61
Transfer the drawing to Arena 62
Simulate other Visio drawings 63
Statistical Distributions 65
UNIF( 3.5, 6 ) 66
NORMAL(83, 12.8) 66
TRIA( 10, 15, 22) 66
)BETA(Beta, Alpha) 67
, . . ., x 70
Exponential( 72
Delta, Lambda, Xi) 74
Lognormal( 75
LOGN(LogMean, LogStd) 75
(−∞, +∞) 77
Poisson( 78
)POISSON(Mean) or POIS(Mean) 78
Mode, Max) 79
for a ≤ x ≤ b 80
Weibull( 81
Library Shapes and Symbols 83
Arena .plb libraries 84
Arena Symbol Factory 84

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