# Documentation

## Optimize Using ga

### Calling the Function ga at the Command Line

To use the genetic algorithm at the command line, call the genetic algorithm function `ga` with the syntax

`[x fval] = ga(@fitnessfun, nvars, options)`

where

• `@fitnessfun` is a handle to the fitness function.

• `nvars` is the number of independent variables for the fitness function.

• `options` is a structure containing options for the genetic algorithm. If you do not pass in this argument, `ga` uses its default options.

The results are given by

• `x` — Point at which the final value is attained

• `fval` — Final value of the fitness function

For an example, see Finding the Minimum from the Command Line.

Using the function `ga` is convenient if you want to

• Return results directly to the MATLAB® workspace

• Run the genetic algorithm multiple times with different options, by calling `ga` from a file

### Use the Optimization App

To open the Optimization app, enter

`optimtool('ga')`
at the command line, or enter `optimtool` and then choose `ga` from the Solver menu.

You can also start the tool from the MATLAB Apps tab.

To use the Optimization app, you must first enter the following information:

• Fitness function — The objective function you want to minimize. Enter the fitness function in the form `@fitnessfun`, where `fitnessfun.m` is a file that computes the fitness function. Compute Objective Functions explains how write this file. The `@` sign creates a function handle to `fitnessfun`.

• Number of variables — The length of the input vector to the fitness function. For the function `my_fun` described in Compute Objective Functions, you would enter `2`.

You can enter constraints or a nonlinear constraint function for the problem in the Constraints pane. If the problem is unconstrained, leave these fields blank.

To run the genetic algorithm, click the Start button. The tool displays the results of the optimization in the Run solver and view results pane.

You can change the options for the genetic algorithm in the Options pane. To view the options in one of the categories listed in the pane, click the + sign next to it.