## Find the Optimum Value on a Parabola

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# Description

This model is a very simple example demonstrating how GoldSim optimization works on a function that has an obvious minimum (or maximum) solution. The model has zero duration with the objective of solving for a single value of y, located on the **parabola**.

The general equation for a **parabola** is: **y = ax^2 + bx + c**

To run the optimization, go to the Run menu and click on Optimization. The objective function is to minimize the value of y by adjusting x. Enter the name "y" in the objective function and add x as the optimization variable. The parameters a, b, and c are not intended to be changed. The minimum solution for this function is y = -250, where x approximately 5.

GoldSim uses the Box Complex Method for optimization.

# Additional Information

## Keywords

optimization, parabola, math, minimum, optimum, maximum, best, search

## Categories

GoldSim Features & Capabilities, Optimization and Sensitivity Analysis