To know the Exact Code Please To Run this Example: (optimization linprog)

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Dalia ElNakib 2023-5-3

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编辑： Torsten 2023-5-4

Dear Eng.

I'm trying to solve this attached problem as Assignment using linprog Code

Then it will be solved through:

h(1) = 0.6

h(2) =0.8

h(3) =1

g(1) =0.1

g(2) =0.2

g(3) =0.3

C Matrix

C = [1

A Matrix (3*3)

A= [h(1) - g(1)h(2) -g(3)h(3)

-g(2)h(1) h(2) -g(2)h(3)

-g(3)h(1) -g(3)h(2) h(3)]

b Matrix

b = [0

Assuming Values for h's and Gamma's as shown above

Do you think we'll need Upper limit and Lower Limit for this example?

I need the correct Matlab Linprog Code to run please?

Thanks alot for your cooperation

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Dalia ElNakib 2023-5-4

在 MATLAB Online 中打开

h(1) = 0.6; 
h(2) = 0.8; 
h(3) = 1; 
g(1) = 0.1; 
g(2) = 0.2; 
g(3) = 0.3; 
%c Matrix 
c = [1; 1; 1]; 
%A Matrix (3*3) 
A = [h(1) -g(1)*h(2) -g(3)*h(3);-g(2)*h(1) h(2) -g(2)*h(3);-g(3)*h(1) -g(3)*h(2) h(3)]; 
%b Matrix 
b = [0; 0 ;0]; 
%Bound constraint 
lb = [0.0000003; 0.0000003; 0.0000003]; 
ub = [1000 ;1000 ;1000]; 
%Solve 
p = linprog(c,A,b,[],[],lb,ub);
Optimal solution found.

Torsten 2023-5-4

编辑：Torsten 2023-5-4

No, my code from above was correct (using -A and -b).

I only wanted to point out that for linprog, it's necessary to pass -A and -b because the inequality is reversed compared to your problem formulation.

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