Multiobjective optimization using gamultiobj

Dear all, I am doing my project at this moment. My project is about aircraft concept design optimization. I have three objectives for optimization. The problem are can i use gamultiobj for three different objective functions. I have 5 design variables for constraints, for example x(1), x(2), ... x(5). I know how to setup the bounds for each constraints, but i dont know how to setup a constraint for x(1) - x(2) must be bigger than 0.

Thank you.

Answer 1

[Alan Weiss]

The constraint x(1) - x(2) >= 0 can be expressed as a linear inequality constraint

 A*x <= b

using the matrices

 A = [-1 1 0 0 0]; % I assume x is 5 dimensional
 b = 0;

Alan Weiss

MATLAB mathematical toolbox documentation

[YAOKUN]

Thanks for you answer. That is very help for me. One more question, do you know how to use MATLAB to do three different objectives optimization?

[Alan Weiss]

This example shows how to compute the Pareto front for two objectives. This example shows another 2-objective problem and solution. This example shows yet another. It should be clear how to extend these examples to three objectives.

Alan Weiss

MATLAB mathematical toolbox documentation

[YAOKUN]

Alright. Thank you very much.