In this coding assignment you will be using the Genetic Algorithm for Function Optimization.Function optimization is when you find the optimum point of a function,either minimum or maximum. You will find the minimum and maximum points of the Styblinski$-$Tang function with the genetic algorithm using MATLAB. Draw the UML diagram of the created algorithm and explain how you determine the population size, crossover probability, mutation probability and number of generations. Also do not use ga function.

$f(x)=\frac{1}{2}{\displaystyle \underset{i=1}{\overset{d}{}}}(x_i^4-16x_i^2+5x_i)$

Input Domain:

The function is usually evaluated on the hypercube $x_{i}in[-5,5],$ for all $i=1,$dots,$d.$

Global Minimum:

$f(x^{*})=-39\mathrm{.}16599d,at{x}^{*}=(-2\mathrm{.}903534,$dots,$-2\mathrm{.}903534)$