regarding ga tool

I have a fitness function which takes in input 's' ( where s is a 1 x 12 array and every element of 's' is either a '0' or a '1' and number of '1's is fixed to 5 ) and outputs a real number between 0 and 1. Now, I want to find the string (again of same form as that of 's' with 5 1's and 7 zeroes ) such that the fitness function is maximised. Can, 'gatool' (now coming in Optimtool ) of MATLAB be used for this purpose?

Answer 1

[Alan Weiss]

This sounds like an integer programming problem. Each variable is bounded below by 0, above by 1, and the sum is fixed at 5.

ga can address mixed integer nonlinear programming problems. It has trouble with nonlinear equality constraints, but there are suggestions for how to address that limitation here.

For maximizing rather than minimizing, look here.

Good luck,

Alan Weiss

MATLAB mathematical toolbox documentation