HS-1715: Simple Stochastic Study

Learn how to run a stochastic study on simple functions defined using a Templex template.

Before you begin, complete HS-1710: Simple Optimization Study or import the HS-1710.hstx archive file, available in <hst.zip>/HS-1715/.

The base input template defines two input variables, DV1 and DV2, labeled X and Y, respectively. The objective of the study is to investigate the two random variables X, Y forming the two functions X+Y and 1/X + 1/Y – 2.

Run Stochastic

  1. Add a Stochastic.
    1. In the Explorer, right-click and select Add from the context menu.
      The Add dialog opens.
    2. For Definition from, select an approach.
    3. Select Stochastic, then Setup and click OK.
  2. Go to the Stochastic > Specifications step.
  3. In the work area, set the Mode to Latin HyperCube.
  4. In the Settings tab, change the Number of Runs to 50.
    Figure 1.


  5. Click Apply.
  6. Go to the Stochastic > Evaluate step.
  7. Click Evaluate Tasks.
    HyperStudy executes 50 runs and extracts the results.

Post Process Results

  1. Go to the Stochastic > Post- Processing step.
  2. Review distributions.
    1. Click the Distribution tab.
    2. Using the Channel selector, select Response 1.
    Figure 2.


In the next steps you will review reliability.
  1. Click the Reliability tab.
  2. Click Add Reliability twice.
  3. Define reliability 1.
    1. Set Response to Response1 (r_1).
    2. Set Bound Type to <= (less than or equal to).
  4. Define reliability 2.
    1. Set Response to Response2 (r_2).
    2. Set Bound Type to <= (less than or equal to).
  5. Study the effects of bounds on the reliability by entering different values in the Bound Value column.
    1. For reliability 1, enter 1.050.
      The reliability value of Response_1 to be less than 1.05 is 78%.
    2. For reliability 2, enter 1.830.
      The reliability value of Response_2 to be less than ... is ...%.
    Figure 3.