Answers to: Multiobjective optimization with matlabhttp://www.or-exchange.com/questions/13200/multiobjective-optimization-with-matlab<p>I have pretty simple linear optimization problem with two objective functions</p>
<p>\[\begin{align} \text{maximize}\, (f_1 &= 4x_1+5 x_2\,,\,f_2 = 1x_1 ) \\ \text{subject to}& \\ 1x_1 + 1x_2 &\leq 200 \\ 1.25x_1 + 0.75x_2 &\leq 200 \\ 1x_2 &\leq 150 \\ x_1,x_2 &\geq 0 \end{align}\]</p>
<p>I'm trying to find optimal points to this problem with goal method (matlab) and with normalized objective function, where \(f^*(x) = (950,160)\) are the optimal solutions (Utopia point?) to my objective functions.</p>
<p>\[f(x)=\sum_{i=1}^2 (f_i^{*}(x)-f_i (x))/f_i^{*}(x)\]</p>
<p>I don't know how to translate this problem into matlab. Any help?</p>enMon, 14 Oct 2019 19:24:33 -0000