# Solving a linear programming problem uising linprog

2 vues (au cours des 30 derniers jours)
Sergio le 23 Mai 2024
Commenté : Sergio le 23 Mai 2024
I have the given linear program to solve.
To solve this I prepare the following for the constraints on each of the six variables:
A = [110 205 160 160 420 260;
4 32 13 8 4 14;
2 12 54 285 22 80];
b = [2000 55 800];
where the function to be minimized with constraints:
f = [3 24 13 9 20 19];
lb = [0,0,0,0,0,0];
ub = [4,3,2,8,2,2];
Is solved by:
options = optimoptions('linprog','Algorithm','dual-simplex');
[x,fval,exitflag,output] = linprog(f,A,b,lb,ub,options)
.
I get "Error using linprog (line 182)
LINPROG requires the following inputs to be of data type double: 'LB'"
How do I prepare the linear inequalities correctly?
With Thanks
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Ayush Modi le 23 Mai 2024
Try this ->
beq = [2000;55;800];
Sergio le 23 Mai 2024
@Ayush Modi I found that out, it was wrong to have beq in the code. I removed it, now it should be right, but the error is completely different now..

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### Réponse acceptée

Torsten le 23 Mai 2024
Modifié(e) : Torsten le 23 Mai 2024
A = -[110 205 160 160 420 260;...
4 32 13 8 4 14;...
2 12 54 285 22 80];
b = -[2000; 55; 800];
Aeq = [];
beq = [];
where the function to be minimized with constraints:
f = [3 24 13 9 20 19];
lb = [0,0,0,0,0,0];
ub = [4,3,2,8,2,2];
Is solved by:
options = optimoptions('linprog','Algorithm','dual-simplex');
[x,fval,exitflag,output] = linprog(f,A,b,Aeq,beq,lb,ub,options)
Optimal solution found.
x = 6x1
4.0000 0 0 4.5000 2.0000 0
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fval = 92.5000
exitflag = 1
output = struct with fields:
iterations: 3 algorithm: 'dual-simplex-highs' constrviolation: 0 message: 'Optimal solution found.' firstorderopt: 1.7764e-15
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Sergio le 23 Mai 2024
Formidable. Thanks Torsten!

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### Plus de réponses (1)

Ayush Modi le 23 Mai 2024
Modifié(e) : Ayush Modi le 23 Mai 2024
Hi Sergio,
The error you are getting is because of extra parameters in the function call. Here is how you can make the call to the "linprog" function with lower and upper bounds:
x = linprog(f,A,b,Aeq,beq,lb,ub,options) % Maximum 8 parameters
Refer to the following MathWorks documentation for more information on syntax of "linprog" function:
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Sergio le 23 Mai 2024
Sorry, that doesn't work.

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