Optimization of the given set of equation
์กฐํ ์: 1 (์ต๊ทผ 30์ผ)
์ด์ ๋๊ธ ํ์
How to optimize the equation with following constraints
Here our objective function is
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/601955/image.png)
where the ranges of
, ![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/601965/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/601960/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/601965/image.png)
Further set of constraints are
and
, for
and
for
, for all n
condition of c are
-
when
when
when
๋๊ธ ์: 0
๋ต๋ณ (1๊ฐ)
Nipun
2024๋
5์ 22์ผ
Hi Sudhir,
I understand that you are trying to optimize the given equation with the specified constraints.
Here is the MATLAB code to solve this optimization problem:
% Define the ranges for B and V
B = 1:1:5;
V = 3.5:0.01:5;
% Pre-allocate the matrix to store results
results = zeros(length(B), length(V));
% Iterate over each combination of B and V
for i = 1:length(B)
for j = 1:length(V)
b = B(i);
v = V(j);
% Define tc based on the given constraints
n = 4; % Example value of n, can be varied as needed
if n < 3
f2 = 0;
else
if n > 3
c = 2; % Example value, vary as per conditions
if n >= 6 && n <= 10
c = 3;
elseif n > 10 && n <= 15
c = 4;
end
f2 = 4042.5 * c / (n - 3);
else
f2 = 0;
end
end
f1 = 404250 / n;
v1 = 6240 * v * b;
v2 = 1803.3 * b;
tc = v1 + v2 + f1 + f2;
% Calculate the objective function
Cop = tc / (280.8 * v * b);
% Store the result
results(i, j) = Cop;
end
end
% Find the minimum value of the objective function and its indices
[minCop, idx] = min(results(:));
[row, col] = ind2sub(size(results), idx);
% Get the optimal B and V values
optimalB = B(row);
optimalV = V(col);
% Display the results
fprintf('The minimum value of Cop is: %.4f\n', minCop);
fprintf('This occurs at B = %.2f and V = %.2f\n', optimalB, optimalV);
This code iterates over all combinations of ๐ต and ๐, computes the objective function ๐ถ๐๐ for each combination while considering the constraints, and finds the optimal values that minimize ๐ถ๐๐. Adjust the value of ๐ as needed based on the specific scenario.
Hope this helps.
Regards,
Nipun
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