Input |
Number of factors ( = ) and number of levels ( = 3). |
Three individuals: , , . |
Objective function (solution) of minimization or maximization problems. |
Number of fitness evaluations FEs = 0. |
Output |
OL result. |
Begin |
% Construct the OA based on and . |
Compute the minimum integer that satisfies ()/() = , then . |
Construct an OA based on [24]. |
% Compute the value of each level at each dimension by using (10). |
For |
= = ; = . |
End for |
Generate solutions based on . |
The solution vectors are formulated as Equation (11). |
% Evaluate the solutions with objective function. |
The results are: . |
% Accumulate the number of fitness evaluations. |
FEs = FEs + . |
% Choose the best solution . |
= or . |
% Compute the average effect of each level at each dimension . |
For |
% Find the row index that having the same level at dimension d based on OA. |
% Compute the mean value of fitness results according to the index vector. |
Index_1 = find (OA(:, ) == 1), = mean((Index_1)); |
Index_2 = find (OA(:, ) == 2), = mean((Index_2)); |
Index_3 = find (OA(:, ) == 3), = mean((Index_3)); |
Compare , , , select the most beneficial level at dimension . |
End for |
Construct by combining all the most beneficial level values . |
Compare and , and choose the best one as the OL result. |
End |