"Could not find a feasible initial point" error in GA.

Question

shirin mhd 2022-5-18

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https://ww2.mathworks.cn/matlabcentral/answers/1722290-could-not-find-a-feasible-initial-point-error-in-ga

编辑： Torsten 2022-5-18

Hi everyone

I try to optimize a problem that is visible below:

a1=3.51e9; a2=750.9;
a3=1.93e8; a4=8.10e8;
a5=min(a3,a2); a6=a4-a1;
a7=a1-a5; a8=min(a1,a7);
answer=ga(@(x) 1e-8*((x(1)+x(2)+x(3)+x(4)+x(5))^2)-100*(x(1)+x(2)+x(3)+x(4)+x(5)),5,...
    [-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;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;-1 -1 -1 -1 -1;1 1 1 1 1],[0 0 0 0 0 1e6 1e7 3e7 5e7 7e7 a6 a8])

but I get this result:

Could not find a feasible initial point.
answer =
     []

what is this error for?

what should I do to solve this issue?

I really appreciate any help.

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Matt J 2022-5-18

编辑：Matt J 2022-5-18

在 MATLAB Online 中打开

Avoid using linear constraints to express simple bounds:

A=[-1 -1 -1 -1 -1;
    1 1 1 1 1];
b=[a6;a8];
lb=zeros(5,1);
ub=[1e6 1e7 3e7 5e7 7e7];
fun=@(x) 1e-8*((x(1)+x(2)+x(3)+x(4)+x(5))^2)-100*(x(1)+x(2)+x(3)+x(4)+x(5));
answer=ga(fun,5,A,b,[],[],lb,ub)