How to update constraint in nonlinear optimization

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Mohamed Hmamouch 2021 年 11 月 25 日

I have a location facility project where i should optimize the cost of implementing it using fmnincon. The problem is i have a condition on (x,y) (this is th coordinate of my facilities):
sqrt((x-15)^2+(y-48)^2))>10
sqrt((x-18)^2+(y-12)^2))>10
Since this two equation are non linear i can define this function:
function [c,ceq]=NLcon(z)
ceq=[];
c(1)=-z(1)^2 +26*z(1)-z(2)^2+96*z(2)-2473+100;
c(2)=-z(1)^2+36*z(1)+24*z(2)-z(2)^2-468+100;
end
but how can I add this constraint: if 20<=y<=40 then x<=20?

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採用された回答

Matt J 2021 年 11 月 25 日

Divide into 3 sub-problems. Solve with the constraints
(1) y<=20 and NLcon
(2) 20<=x<=40, y<=20, and NLcon
(3) y>=20 and NLcon
Take the solution to whichever of the 3 sub-problems gives the most optimal cost value.
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Matt J 2021 年 11 月 26 日
so we can't define three cases where my x can be unconstrained
Since you accepted the answer, I assume you figure it out?
If not, see my updated answer.

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R2021b

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