How to execute multiple optimized values for x according to n, using fmincon

Hello, kindly help me in finding n optimal values for x (x is a vector not single valued).

e.g. i have the main code

function Rsum Simple(x)
    global n
                                            
       R=20*1000;                                       
       Rn =x*R;
       Rsum=sum(Rn);
end
       

by using fmincon i am optimizing x

clear all
clc
global n
n_vec=2:2:6;
throughput=[];
for n=n_vec

initial_guess=0.00002;
x0=initial_guess;
lb=0;
ub=0.7;
A = [];
b = [];
Aeq=[]; 
Beq=[];
    
[x,fval]= fmincon(@(x) Simple(x),x0,A,b,[],[],lb,ub);
max=-(fval);
throughput=[throughput max];
end

after executing first attempt i want to get 2 optimized values of x,in 2nd i need 4 optimized values and in 3rd time x=6, but i dont know how to execute it. can any body help me out to find multiple values of x(with respect to n).??

thank you in advance

Answer 1

[Titus Edelhofer]

Hi,

there are a couple of things I don't understand: you say "x is a vector"? But you always start with x0=initial_guess, which is a scalar. Perhaps this is the first change you would need to do:

x0 = repmat(initial_val, n, 1);

to make x0 a vector.

Second, your objective function is strange. Variable S is not used? x = [0...0] is the solution for the function you wrote.

Titus

[Maheen Fazal]

Sorry it was by mistakenly wrriten, okay Sir will changes in initial guess.

Answer 2

[Maheen Fazal]

just let me know if i have to find n optimal values for x then how could i find?

Answer 3

[Maheen Fazal]

can i also change uper and lower bounds accordingly?

[Titus Edelhofer]

Yes,

ub = repmat(ub, n, 1);

[Maheen Fazal]

for i=1:n 
[x(i),fval(i)]= fmincon(@(x) Simple(x),x0(i,:),A,b,[],[],lb(i,:),ub(i,:),@constraint);
   end

is this a right way to execute?