how to find optimum solution to the variable

i want to know the step for find the optimum value of t1,T by using this algorithm

[Chuguang Pan]

@ALBERT. You can write code according to the algorithm steps presented in the picture.

% example code structure

if M <= t_d

    Delta = ... % calculate Delta
    if Delta <= 0
        t1_optimal = t_11;
        T_optimal = T_1;
    else
        t1_optimal = t_d;
        T_optimal = T_1;
    end

else
    % calculate Delta_1 and Delta_2
    Delta_1 = ...
    Delta_2 = ...

    if Delta_1 <=0 && Delta_2 >= 0
        t1_optimal = t_13;
        T_optimal = T_3;
    else if Delta_2 < 0
        [~,idx] = min([TC2(t_12,T_2),TC3(M,T_3)]);
        
        if idx == 1     
            t1_optimal = t_12;
            T_optimal = T_2;
        else
            t1_optimal = M;
            T_optimal = T_3;   
        end
       
    else if Delta_1 > 0
        t1_optimal = t_d;
        T_optimal = T_3;
    else
    %%%%
    end   

end

[Torsten]

Use "fsolve" or "fzero" to solve (11), (19) or (27) for t_1*. Substitute in (9), (17) or (25) to get T*.