How to run please this example perfectly to get optimal solution .. Thank you
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Dalia ElNakib
le 4 Mai 2023
Commenté : Dalia ElNakib
le 6 Mai 2023
f = [0 ; - 10 ; 0 ; - 6; - 20] ;
A = [1 0 0 0 0 ;
0 1 0 0 0 ;
0 0 1 0 0 ;
0 0 0 1 0 ;
0 0 0 0 1] ;
B = [4 ; 3 ; 3 ; 2 ; 2] ;
Aeq = [1 - 1 - 1 0 0 ; 0 0 1 - 1 - 1] ;
beq = [0; 0; 0; 0; 0];
lb = zeros (5, 1) ;
ub = zeros (5, 1) ;
x = linprog(f,A,B,Aeq,beq,lb,ub)
[x,fval] = linprog(f,A,Aeq,beq,lb,ub);
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Steven Lord
le 4 Mai 2023
lb = zeros (5, 1) ;
ub = zeros (5, 1) ;
So based on the way you've constructed the bounds, all the elements of your solution have to be greater than or equal to 0 and less than or equal to 0. The only possible solution that satisfies both sets of bounds is zeros(5, 1).
Are you sure that ub shouldn't be something like ones(5, 1)?
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Steven Lord
le 4 Mai 2023
Yes, I saw that. I would have expected them also to appear in the "Therefore, the problem can be posed as the following linear program:" section as inequalities like the last three bound constraints. But due to a lack of space on the page I wonder if students solving the problem could overlook the last two equations (which I assumed appeared after the diagram on page 262.)
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Torsten
le 4 Mai 2023
f = [0 ; -10 ; 0 ; -6; -20] ;
A = [1 0 0 0 0 ;
0 1 0 0 0 ;
0 0 1 0 0 ;
0 0 0 1 0 ;
0 0 0 0 1] ;
B = [4 ; 3 ; 3 ; 2 ; 2] ;
Aeq = [1 -1 -1 0 0 ; 0 0 1 -1 -1] ;
beq = [0; 0];
lb = zeros (5, 1) ;
ub = zeros (5, 1) ;
[x,fval] = linprog(f,A,B,Aeq,beq,lb,ub)
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