How to use crossover and mutation ?

my population is lake that

p1 = [ 9 3 6 0 0]

p2 = [1 0 2 5 0 ]

how to use crossover and mutation to obtain new solution?

Answer 1

[Star Strider]

There are many possibilities.

Likely the simplest:

p1 = [ 9 3 6 0 0]                               % Parent
p2 = [1 0 2 5 0 ]                               % Parent

idx = randi(numel(p1)-1);
p1x = [p1(1:idx) p2(idx+1:end)]                 % Crossover
p2x = [p2(1:idx) p1(idx+1:end)]                 % Crossover

idx = randi(numel(p1));
p1m = p1;
p2m = p2;
p1m(idx) = randi(9)                              % Mutatiion
p2m(idx) = randi(9)                              % Mutatiion

producing (in this run):

p1 =
     9     3     6     0     0

p2 =
     1     0     2     5     0


idx =
     3

p1x =
     9     3     6     5     0

p2x =
     1     0     2     0     0


idx =
     3

p1m =
     9     3     8     0     0

p2m =
     1     0     1     5     0

The ‘idx’ values both just happened to be the same this time.