Searching for a Minimum Value

You can use the Minimization Optimization type.

The algorithm searches for the parameter values corresponding to a minimum value for Function2. The Gradient method is used.

See Also
Using the Optimization Function
Specifying the Algorithm to Run
About the Definition of an Optimization
  1. Create a Representation and add the parameters and formulas shown in the tree below:

    Note: The x, y, z, Function1 and Function2 parameters must be of real type. You do not need to specify their initial values. If need be, see the CATIA Engineering Rules Capture User's Guide for information on how to create parameters and formulas.

  2. From the Compass, click 3D Modeling Apps and select Design Optimization. Click Optimization .
    The Optimization dialog box appears.
  3. Define the data required to run the optimization algorithm as follows:
    Optimization type:Minimization
    Optimized parameter: Function2
    Free Parameters: x
    Algorithm: Gradient Algorithm Without Constraint
    Maximum number of updates : 400
    Consecutive updates without improvements: 100
    Maximum time (minutes): 5 minutes
  4. Make sure that the Save optimization data check box is cleared.
  5. Click Run optimization.

    • The Optimization message box displays the data for each iteration. Do not intervene on the algorithm process (i.e. don't click Stop at the next iteration) and let the optimization process execute until the target value is found out or one of the termination condition is reached.

    • The x parameter as well as the Function2 value are updated in the tree.

      Important: Note that Real type parameters are displayed with nine decimal places (trailing zeros, if any, are not displayed). If you perform an optimization with other parameter types, the values are displayed according to the options specified in the Units tab of the Me > Preferences dialog box (General > Parameters and measure).

    The x value (9.9999) resulting from the computation appears in the optimization dialog box.

  6. Click OK or Cancel to exit the Optimization dialog box.