How do I include or make a discrete variable for an optimization problrm?

Question

Mohammad 2023-10-29

0
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https://ww2.mathworks.cn/matlabcentral/answers/2040191-how-do-i-include-or-make-a-discrete-variable-for-an-optimization-problrm

编辑： Torsten 2023-10-29

在 MATLAB Online 中打开

This is the code I made and I got a values: x1=3 x2=8 x3=3 x4=3 x5=0 x6=0 x7=11

but x1 result is not in the group of numbers {2,5,7,8}

please help here is the code

clear all;
clc;
% Define the objective function coefficients
f = [2; -6; 3; 4; 7; 3; 2];
% Define the inequality constraints in matrix form
A = [0 -1 -5 -3 1 -2 -3;
    6 3 2 -1 -2 2 0;
     -7 -4 3 -4 3 -2 -1];
% Define the right-hand side of the inequality constraints
b = [-65; 73; -66];
% Define the lower and upper bounds for each variable
lb = [2; 2; 3; 3; 0; 0; -Inf];
ub = [8; 8; 6; 6; Inf; Inf; Inf];
% Define integer variables (1 for discrete variables, 0 for continuous)
intcon = [1 2 3 4]; % Only x1 and x2 are discrete
% Solve the mixed-integer linear programming problem
options = optimoptions('intlinprog', 'Display', 'off');
[x, fval, exitflag] = intlinprog(f, intcon, A, b, [], [], lb, ub, options);
% Display the optimal solution and objective function value
if exitflag == 1
    disp('Optimal Solution:')
    disp(x);
    disp('Optimal Objective Function Value:')
    disp(fval);
else
    disp('No optimal solution found.');
end