Valuating the Ranges of Free Parameters Using Relations

This task explains how to valuate free parameters using a relation. In the scenario described below, you want to find the minimum value of the fxy function. To do so, you:
  • Create 3 parameters (x, y, fxy) and assign a formula to the fxy function.
  • Create an optimization and assign inferior and superior bounds to the x, and y parameters.
  • Create 2 checks that will turn to true whenever the value of the free parameters hits the bounds.
  • Create a reaction based on the checks that will change the value of the inferior range as soon as one of the checks turns true.
To value free parameters using relations:
  • Create an optimization containing Free Parameters.
  • Add ranges to the free parameters in the Optimization window.
  • Access the Relation editor and click the Optimization in the specification tree. The free parameters are displayed in the editor.
  • Click the free parameters that you need to value. Click OK when done.
The Knowledge Advisor Product is required to perform this scenario.

  1. From the File > New... command, create a Part.

  2. Click the Formula icon () to create 3 parameters.

    • Select Real in the scrolling list and click New parameter of type.
    • In the Edit name or value of the current parameter, enter x and 150. Click Apply.
    • Select Real in the scrolling list and click New parameter of type.
    • In the Edit name or value of the current parameter, enter y and 150. Click Apply.
    • Select Real in the scrolling list and click New parameter of type.
    • In the Edit name or value of the current parameter, enter fxy, and click Add formula, enter the following formula, and click OK when done:
      fxy=(x-10)*(x-10) + (y-20)*(y-20) + 100

  3. From the Start > Knowledgeware menu, access the Product Engineering Optimizer workbench and click the Optimization icon (). The Optimization window is displayed.

  4. Enter the following parameters and click OK when done:

    Optimization type Minimization
    Optimized parameter fxy
    Free Parameters x and y: Inf. Range: 100 Sup. Range: 200
    Algorithm type Gradient Algorithm Without Constraint

  5. From the Start > Knowledgeware menu, access the Knowledge Advisor workbench.

  6. Click the Check icon (). Enter the name of the check: Check_Inferior_Range and click OK. The Check Editor opens.

  7. Enter the following check body and click OK when done:

    `Relations\Optimizations.1\Optimization.1\Free Parameter.1\Inferior Range` == x or `Relations\Optimizations.1\Optimization.1\Free Parameter.2\Inferior Range` == y

  8. Click the Check icon (). Enter the name of the check: Check_Superior_Range and click OK. The Check Editor opens.

  9. Enter the following check body and click OK when done:

    `Relations\Optimizations.1\Optimization.1\Free Parameter.1\Superior Range` == x or `Relations\Optimizations.1\Optimization.1\Free Parameter.2\Superior Range` == y

  10. Click the Reaction icon (). The Reaction window is displayed:

    • In the Source Type field, select Selection and click the Check_Inferior_Range from the specification tree. In the Select a source Window, select Result and click OK.
    • In the Available events list, select ValueChange.
    • Click Edit action.... The Action Editor is displayed. Enter the following action body and click OK twice when done:
    `Relations\Optimizations.1\Optimization.1\Free Parameter.1\Inferior Range` = x - x/2
    • Right-click the reaction in the specification tree, rename it into Inferior_Range_Reaction using the Properties command.

  11. Click the Reaction icon (). The Reaction window is displayed:

    • In the Source Type field, select Selection and click the Check_Inferior_Range from the specification tree. In the Select a Source Window, select Result and click OK.
    • In the Available events list, select ValueChange.
    • Click Edit action.... The Action Editor is displayed. Enter the following action body and click OK twice when done:
      `Relations\Optimizations.1\Optimization.1\Free Parameter.2\Inferior Range` = x - x/2
    • Right-click the reaction in the specification tree, rename it rename it into Superior_Range_Reaction using the Properties command.

  1. Double-click Optimization.1 twice and click Run Optimization until x=10.

Note that:
  • The inferior range value changes (inferior range=x-x/2 each time the optimization is run).  To access the result sample file, click here.
  • The ranges valuation will not be taken into account during the algorithm run. Ranges are taken into account at the beginning of each run.
  • You cannot use the contextual menu to create a formula to valuate the Target Value of the optimization. To do so, use the Formula editor.