Hello Mitali,
To implement the described process in MATLAB, you will need to follow these steps:
- Initialize Parameters: Define your initial temperature, cooling rate, and any other necessary parameters.
- Simulated Annealing Loop: Use a while loop to perform the simulated annealing process until the temperature drops below a threshold.
- Generate Random Permutations: Use the randperm and combnk functions to generate combinations. For more information on combnk and nchoosek, please go through: https://www.mathworks.com/help/stats/combnk.html. For randperm please follow: https://www.mathworks.com/help/matlab/ref/randperm.html.
- Mapping and Summation: For each valid permutation, map the values from temp to Z and then to A to calculate the total testing time.
- Update Best Solution: Check if the current solution is better than the best found so far and update accordingly.
- Cooling Schedule: Reduce the temperature using the cooling rate.
Here is a sample MATLAB code to get you started:
% Initialize parameters
initial_temperature = 100;
cooling_rate = 5;
temperature = initial_temperature;
highest_num = 14;
% Define matrices A and Z
A = [...]; % Your matrix A
Z = [6, 10, 5, 4; 7, 8, 3, 0; 1, 2, 9, 0];
% Initialize best total testing time
best_total_testingTime = Inf;
% Simulated annealing loop
while temperature > 1
% Generate random permutations
n = randperm(highest_num);
c = combnk(n, 3);
% Initialize temporary matrix
temp = [];
t = 1;
% Select combinations that sum to 16
for i = 1:size(c, 1)
if sum(c(i, :)) == 16
temp(t, :) = c(i, :);
t = t + 1;
end
end
% Iterate over each column of Z
for col = 1:size(Z, 2)
if Z(1, col) == 0, continue; end % Skip if Z element is zero
% Calculate total testing time for this column
total_testingTime = 0;
for row = 1:size(temp, 1)
for z_row = 1:size(Z, 1)
if Z(z_row, col) == 0, continue; end % Skip if Z element is zero
% Map temp to Z and then to A
core_number = Z(z_row, col);
temp_value = temp(row, z_row);
total_testingTime = total_testingTime + A(core_number, temp_value);
end
end
% Update best total testing time
if total_testingTime < best_total_testingTime
best_total_testingTime = total_testingTime;
end
end
% Cool down
temperature = temperature - cooling_rate;
end
% Display the best total testing time found
disp(['Best Total Testing Time: ', num2str(best_total_testingTime)]);
I hope this helps!
