You are asked to implement a Genetic Algorithm (GA) to minimize Rastrigins function, which takes the following form:

Python Code with screenshots .

Solution representation.

Fitness function.

Genetic operators:

Crossover.

Mutation.

Selection by roulette wheel selection (See below).

Replacement.

Termination condition.

Result:

Graph of GA performance containing the generation vs fitness function as shown in the figure below for each combination of parameter setting in the table (Total of 3³ combinations).

f(x) = An + [z-Acos(2m)] i-1 Where A-10, n-2, and the search range for Xi is: -5.12