Global minimum function Integer-value

   I have a object function and try to find the global minimum and the minimum variable must to be 

    integer-value.

    I have been used the  ga function but its seems like to find  the local minima.

    Did any one  have a idea about finding the global minimum and must be integer-value

[José-Luis]

This question is far too vague to be answered properly.

[ben]

Hi Jose

There are 12 variables that must be integer and each variable is less than 11 and bigger than 1

I am trying to find the minimum solution about this function and I have already know a solution

that is smaller than the result that running by ga function. So I just want to know what

function that is provided by matlab optimization tool can find the global minimum.

"GlobalSearch class" which use the fmincon solver , seems like can't find the integer-value

 solution

[José-Luis]

Depending on the complexity of your function, there might be very many local minima and the global minimum might be very hard to find. You can try giving different starting points and see where it converges. If you have 12 variables and only want to evaluate for integer values [2;10], then you could try running all possible parameter combinations (9^12 simulations). That, however, might be too computationally demanding. I don't really know much about genetic algorithms, but maybe someone else here in the forum can give you a better answer.

Answer 1

[Alan Weiss]

If you have Global Optimization Toolbox R2011b or later, you can use the mixed integer programming capabilities of the ga function. See the documentation.

To ensure that your solution is the true global minimum, well, there are no guarantees. Start multiple times with different initial populations, see what happens.

Alan Weiss

MATLAB mathematical toolbox documentation

[ben]

Hi Alen Thank you for answering my question.

Did ga function have setting to set the different initial populations at each time?