Genetic algorithm

%A PROGRAM TO CALCULATE GLOBAL MAXIMA OF A STALAGMITE FUNCTION

clear all
close all
clc

%Defining our search space
x = linspace(0,0.6,150);
y = linspace(0,0.6,150);

%Getting a 2D mesh
[xx,yy] = meshgrid(x,y);

%Evaluating the stalagmite function
for i = 1:length(xx)
for    j = 1:length(yy)
    input_vector(1) = xx(i,j);
    input_vector(2) = yy(i,j);
    f(i,j) = stalgmite(input_vector);
end
end

%surfc(xx,yy,f)
xlabel(\'xvalue\')
ylabel(\'yvalue\')

shading interp
[inputs, fval] = ga(@stalagmite, 2)

OUTPUT GRAPH

PROGRAM REPORT:

INTRODUCTION:

A program to optimize the stalagmite function and to find the global maxima of the function should be written.

GENETIC ALGORITHM:

The genetic algorithm is a method for solving both constrained and unconstrained optimization problems that is based on natural selection, the process that drives biological evolution. The genetic algorithm repeatedly modifies a population of individual solutions.

SYNTAX FOR GENETIC ALGORITHM:

The following are some of the syntax of genetic algorithm:

x = ga(fun,nvars)

x = ga(fun,nvars,A,b)

x = ga(fun,nvars,A,b,Aeq,beq)

x = ga(fun,nvars,A,b,Aeq,beq,lb,ub)

x = ga(fun,nvars,A,b,Aeq,beq,lb,ub,nonlcon)

x = ga(fun,nvars,A,b,Aeq,beq,lb,ub,nonlcon,options)

x = ga(fun,nvars,A,b,[],[],lb,ub,nonlcon,IntCon)

x = ga(fun,nvars,A,b,[],[],lb,ub,nonlcon,IntCon,options)

x = ga(problem)

[x,fval] = ga(___)

[x,fval,exitflag,output] = ga(___)

[x,fval,exitflag,output,population,scores] = ga(___)

ERRORS FACED:

No errors detected.

CONCLUSION:

The program to optimize the stalagmite function and to calculate the global maxima of the function is written.