optimization problem using exhaustive search algorithm with one inequality constraints

Question

Nourhan Elsayed 2020-10-22

0
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https://ww2.mathworks.cn/matlabcentral/answers/622533-optimization-problem-using-exhaustive-search-algorithm-with-one-inequality-constraints

回答： Indra 2022-8-24

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i have to find the optimum x that minimize the following F(x)

subject to next inequality constraint

belongs to vector of

Prop = [250,2000,1204,2147,1761,4500]

how to pass the inequality constarint to exhaustive search algorithm

% step 1: Write all X possible values in an array
x_Array = [0.3; 0.209688258;	0.373920838; 0.306695201; 0.888214381;
0.044474885; 0.106739724; 0.476537568; 0.453975631; 0.386749994; 0.968269174
0.9; 0.378544753; 0.675029556; 0.553668863];
% step 2: creat an exhaustive searcher object MdlES
MdlES = ExhaustiveSearcher(x_Array)
% Step 3: define Parameters
a=56.3772;	
b=-75.1591;
c= 203.3442;
Prop = [250,2000,1204,2147,1761,4500];
J =6;
x = ones(1,J);
P = 6000
% Step 4: Objective Function
SFOC = a * x.^2 + b* x + c *ones(1,J)
Y = SFOC';
% step 5: Applay inequality constraint
Prop - P * x =< 0
% Step 6: creat function for Exhaustive search Algorithm 
IdxES = knnsearch(MdlES,Y)
for j = 1:J
x(j) = x_Array(IdxES(j))
end