Genetic Algorithms---Mixed Integer Optimization problem with binary variables

Hello all, I have to solve the following problem today, I solved a nonlinear GA problem with my own code in VBA but this one requires a bit more time and so I wanted to try MATLAB which I am very new to it,

3X1+2X2+6X3≤150 **

4X1+3X2+4X3≤160 **

X1≤MY1 **

X2≤MY2 **

X3≤MY3 **

X1,X2,X3 ≥ 0 and integer, Y1,Y2,Y3= binary **

MAX Z=6X1+4X2+7X3–200Y1–150Y2–100Y3 **

I wrote the floowing code in MATLAB for my problem.

Fun=@(x) 6*x(1)+4*x(2)+7*x(3)-200*x(4)-150*x(5)-100*x(6);

A=[ 3 2 6 0 0 0; 4 3 4 0 0 0; 1 0 0 -1000 0 0; 0 1 0 0 -1000 0; 0 0 1 0 0 -1000];

 b=[150 160 0 0 0];
lb=[ 0 0 0 0 0 0];
ub=[Inf Inf Inf 1 1 1];
[x,fval,exitflag] = ga(Fun,6,A,b,[],[], lb,ub,[], [1 2 3 4 5 6],opts);

Now it constantly returns errors first it said tenth argument is false, now it says opts is not defined, before these errors it said too many arguments for ga I don't know what to do please help Sincerely, Arda

Answer 1

[Alan Weiss]

I suspect your version of MATLAB is older than R2011b, when mixed-integer GA was released.

If your version is R2011b or later, then perhaps your options structure opts is invalid somehow. You did not give code for constructing opts.

When I ran your code using exactly what you wrote, but no opts, here is what I saw:

Fun=@(x) 6*x(1)+4*x(2)+7*x(3)-200*x(4)-150*x(5)-100*x(6);
A=[ 3 2 6 0 0 0; 4 3 4 0 0 0; 1 0 0 -1000 0 0; 0 1 0 0 -1000 0; 0 0 1 0 0 -1000];
b=[150 160 0 0 0];
lb=[ 0 0 0 0 0 0];
ub=[Inf Inf Inf 1 1 1];
[x,fval,exitflag] = ga(Fun,6,A,b,[],[], lb,ub,[], [1 2 3 4 5 6])

   Optimization terminated: average change in the penalty fitness value less than options.TolFun
  and constraint violation is less than options.TolCon.

   x =

       0     0     0     1     0     0

   fval =

    -200

   exitflag =

       1

Alan Weiss

MATLAB mathematical toolbox documentation