.BusinessSimulation.CausalLoop.Performance

Information

This information is part of the Business Simulation Library (BSL). Please support this work and ► donate.

The output y is the dimensionless degree of membership to the set of "good performances" or "good outcomes" according to a chosen type of membership function. Using the PerformanceIndicator allows to quickly grasp how a system is currently performing with regard to some criterion with a value of 1 indicating best possible performance and a value of 0 indicating worst possible (and possbily unsustainable) performance.

The following grid displays all available membership function types without inversion (invertResults = false):

Membership Functions
Grid.svg

Parameters
Membership Function Type a b c d
ramp foot shoulder    
triangular left foot center right foot  
trapezoidal left foot left shoulder right shoulder right foot
sshaped foot shoulder    
sigmoidal steepness of transition area   center of transition area  
pishaped left foot left shoulder right shoulder right foot
psigmoidal steepness of left transition center of left transition area steepness of right transition center of right transition area
gaussian half width at half maximum   center of curve (maximum)  
bell width of core steepness center of core  

When inversion is turned on (invertResult = true) the result obtained from the membership function as specified will be subtracted from 1. Thus the ramp shown above can be made to ramp down from left to right with a being the shoulder and b the foot by inverting the results.

Implementation

DiagramView
ModelDiagram.png

Notes