Gradient optimization problem with fmincon
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Hi I'm currently working on an optimzation problem where I need to optimization a design dimension to minimize the ROI with Sequential Quadratic Programing with fmincon. However, I don't really know how the fmincon work and how my constrain will need to implement into the code. I'm new to matlab
Thank you for your time,
Here is my equation and constrain that I want to put in Matlab
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/623388/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/623348/image.png)
with r is the radius and l is the length of the tank
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Sulaymon Eshkabilov
am 19 Mai 2021
Here is a simple solution to your exercise. Adjust your constrains for r (radius) and l (length).
% NOTE: RL(1) is R and RL(2) is L.
ROI =@(RL) (.05*(509.7*pi(RL(1)^3+RL(1)^2*RL(2))+5.505e3*RL(1)^2)-509.7*pi*(RL(1)^3+RL(1)^2*RL(2))+5.505e3*RL(1)^2)/(509.7*pi*(RL(1)^3+RL(1)^2*RL(2))+5.505e3*RL(1)^3);
Rb = [0,0];
% NOTE: 0<=R<=5; 0<=L<=15; Thus, Rb= [0, 0]; and Lb = [5, 15];
Lb = [5, 15];
% No Other constraints are considered here
A = [];
b = [];
Aeq = [];
beq = [];
x0 = (Lb + Rb)/2;
RL = fmincon(ROI,x0,A,b,Aeq,beq,Lb,Rb);
R = RL(1);
L = RL(2);
fprintf('Found values: R = %f [ft] L = %f [ft] \n', [R, L])
Good luck.
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