.BusinessSimulation.Converters.Lookup

Information

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Table- or Lookup-Functions usually map some variable (usually normalized as a dimensionless input) onto a real number by either providing a parametric funcion or a table of values which is then used for interpolation. Typically lookup functions are nonlinear functions and introduce nonlinearity to dynamic models [3, Ch. 14].

Acknowledgements

The parametric lookup functions presented in this package are to a great part inspired by an article written by Khalid Saeed and Arit Irmaridiris [4]. They either directly use the proposed functional form from that article or were slightly modified by the author of the Business Simulation Library using Wolfram Mathematica.

Copyright © 2020 Guido Wolf Reichert
Licensed under the EUPL-1.2 or later

Contents

Name	Description
ConcaveLookupPositive	Concave Lookup with positive slope; fixpoints are (0,y0) and (1,1)
ConcaveLookupNegative	Concave Lookup with negative slope; fixpoints are (0,y0) and (1,0)
ConvexLookupPositive	Convex Lookup with positive slope; usually with fixpoint (0,y0) and fixpoint (1,1)
ConvexLookupNegative	Convex Lookup with negative slope usually defined for the range [0,∞) passing through the fixpoint (1,1)
JanoschekPositive	Janoschek's (S-shaped) growth curve with positive slope
JanoschekNegative	Janoschek's (S-shaped) growth curve with negative slope
PerformanceIndicator	Indicator function using fuzzy membership functions
SShapedPositive	Symmettric S-shaped curve with positive slope around origin (0,0)
SShapedNegative	Symmettric S-shaped curve with negative slope around origin (0,0)
TableFunction	Table function defined by external data on file using Modelica's CombiTable format
TableFunctionVector	Table function for vector input and output using Modelica's CombiTable format