particle swarm optimization MATLAB coding for the following function

Here the data I have taken n = 500 and m = 24 and Pmax = 6.6

Total number of variables I have taken for PSO, nVar = n*m

the lower bound Ihave taken for PSO LB = 0.1*(1,nVar)

and the upper bound I have taken for PSO UB = Pmax.*(1,nVar)

Assuming deltaT =1 , n =3, m =2 the above function I have expanded as below

F1 = c1*p11+c1*p21+c1*p31+c2*p12+c2*p22+c2*p32

and the objective function I have written as F1 = sum(x). But I have doubt on objective function I have written.

Here if I have considered the the product of c1*p11 as one variable like x1 and c1*p21 as another variable and so on

If I will considered ck and pik as to different variables then how I can write the Lower bound of variables and upper bound of variables.

Answer 1

[Sandeep]

Hi Bijaya Das,

It is my understanding that you are expecting a suggestion on how to write the Lower bound of variables and Upper bound of variables for the given objective function and assumed values of delta, n and m.

Here is a sample MATLAB implementation of the same that might help.

% Assuming n = 3, m = 2
n = 3;
m = 2;

% Initialize the lower bounds and upper bounds arrays
LB = zeros(n*m, 1);  % Lower bounds array
UB = zeros(n*m, 1);  % Upper bounds array

% Assign lower and upper bounds for each variable
for i = 1:n
    for j = 1:m
        var_index = (i-1)*m + j;  % Index of the variable
        LB(var_index) = 0.1;  % Lower bound for the variable
        UB(var_index) = Pmax;  % Upper bound for the variable
    end
end

Hope you find it useful.

[Bijaya Das]

Thank you