functionweibull1DON

Mapping a continuous input to a binary output through a Weibull distribution relation

Extends from Modelica.Icons.Function (Icon for functions).

Information

This function generates a random binary variable with a continuous inputs x from a Weibull distribution relation.

The probability of being 1 is calculated from the input x from a Weibull distribution relation with three predefined parameters u (threshold, the output would be 0 if x is less than u), L (normalization faction) and k (shape factor). Then a random generator generates the output, which should be a binary variable.

Inputs

TypeNameDefaultDescription
RealxContinous variable
Realu1.0Parameter defining the Weibull distribution threshold
RealL1.0Parameter defining the Weibull distribution normalization factor
Realk1.0Parameter defining the Weibull distribution shape factor
Realdt60Time step length
Integer[Modelica.Math.Random.Generators.Xorshift1024star.nState]stateInState of the random number generator

Outputs

TypeNameDefaultDescription
BooleanyBinary variable 0/1
Integer[Modelica.Math.Random.Generators.Xorshift1024star.nState]stateOutNew state of the random number generator

Revisions

  • December 6, 2024, by Michael Wetter:
    Refactored implementation of random number calculations, transfering the local state of the random number generator from one call to the next.
    This is for #4069.
  • July 20, 2018, by Zhe Wang:
    First implementation.