refactor: Restructure Repository to add eta optimization

Signed-off-by: Tuan-Dat Tran <tuan-dat.tran@tudattr.dev>

01_nb_cncf_optimization/matlab/Numerical_opt.m

@@ -0,0 +1,17 @@
+function [x_opt] = Numerical_opt(lambda,B,c_f,c_delta)
+% Numerical optimization
+% x_opt are the optimal hit probabilities
+ 
+N = length(lambda);  % Number of variables
+h_init = ones(N, 1) * B / N;  % Initial guess for h_i, evenly distributed
+x_init=h_init;
+objective1 = @(x) sum(lambda .*( (1-x)*c_f+x.^2*c_delta/2));  % Objective function
+constraint1 = @(x) sum(x) - B; % cache size constraint
+% constraint on hit prob. 0<=h_i<=1
+nonlcon1 = @(x) deal(constraint1(x), []);  % 
+lb = zeros(N, 1);  % Lower bounds
+ub = ones(N, 1);     % Upper bounds
+options = optimoptions('fmincon', 'Display', 'iter', 'Algorithm', 'sqp');
+[x_opt, fval_h] = fmincon(objective1, x_init, [], [], [], [], lb, ub, nonlcon1, options);
+end
+