MATLAB: Restriction of upper and lower boundary values to single decimal place in GA.

genetic algorithmGlobal Optimization Toolboxoptimization

Dear all

I am solving a problem using GA with lb=[1 1] ub=[2.5 2]. I want upper and lower boundary value only upto 1 decimal place in population.

Please help.

Best Answer

You are free to use Mixed Integer ga Optimization and have your integer problem variables be ten times your real variables.

Alan Weiss

MATLAB mathematical toolbox documentation

Related Solutions

MATLAB: How to optimize a non linear single objective function constrained with only integer variables using genetic algorithm

You would probably do best to use the ga mixed integer optimization capability. Have your five variables be integer-valued. Internally, in the objective function, change the variables to their appropriate values, something like this:

 function y = objfun(x)
 v1 = 1500 + 500*x(1);
 v2 = 50 + 5*x(2);
 v3 = 5 + x(3);
 v4 = 5 + x(4);
 v5 = 5 + x(5);
 % do your fitness calculation using the v variables
 % here
 end

Call the ga solver with IntCon = 1:5. Set lower bounds of zeros(5,1) so each variable is 0 or greater, and upper bounds of [4,10,10,10,10]. There is a similar example here.

Alan Weiss

MATLAB mathematical toolbox documentation

MATLAB: Genetic Algorithm – limiting significant digits of Optimization Variable

This is a very difficult thing to do in general, because MATLAB computes to double precision by default. If you really want to compute to two decimal places, you need to make a custom population type and do your own arithmetic.

But perhaps you mean you want the optimization to stop after it seems it has two decimals correct. This again is problematic to achieve, because the optimization algorithm has a very hard time determining whether it has converged to any reasonable degree. The TolFun option can help influence the degree of accuracy of the final Pareto front, and you can try setting it to 1e-3 or 1e-2 or so, but I cannot promise you that you will see any particular change in the behavior of the solver.

Good luck,

Alan Weiss

MATLAB mathematical toolbox documentation

Best Answer

Related Solutions

MATLAB: How to optimize a non linear single objective function constrained with only integer variables using genetic algorithm

MATLAB: Genetic Algorithm – limiting significant digits of Optimization Variable

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