simulated annealing code with 9 input variables in matlab

main.m
% Define the objective function
objectiveFunc = @(x) yourObjectiveFunction(x); % Replace yourObjectiveFunction with the actual name of your objective function

% Define the number of variables
nVariables = 9;

% Define the lower and upper bounds for each variable
lowerBounds = [lowerBound1, lowerBound2, ..., lowerBound9]; % Replace lowerBound1, ..., lowerBound9 with the actual lower bounds for each variable
upperBounds = [upperBound1, upperBound2, ..., upperBound9]; % Replace upperBound1, ..., upperBound9 with the actual upper bounds for each variable

% Initialize the temperature and number of iterations
initialTemperature = 100;
finalTemperature = 1e-8;
nIterations = 1000;

% Initialize the current solution
currentSolution = rand(1, nVariables) .* (upperBounds - lowerBounds) + lowerBounds;

% Evaluate the current solution
currentObjectiveValue = objectiveFunc(currentSolution);

% Perform simulated annealing
temperature = initialTemperature;
for iteration = 1:nIterations
    % Generate a new candidate solution by perturbing the current solution
    candidateSolution = currentSolution + randn(1, nVariables) .* (upperBounds - lowerBounds) / 10;
    
    % Limit the candidate solution within the bounds
    candidateSolution = max(candidateSolution, lowerBounds);
    candidateSolution = min(candidateSolution, upperBounds);
    
    % Evaluate the candidate solution
    candidateObjectiveValue = objectiveFunc(candidateSolution);
    
    % Calculate the acceptance probability
    alpha = exp((currentObjectiveValue - candidateObjectiveValue) / temperature);
    
    % Accept or reject the candidate solution based on the acceptance probability
    if rand < alpha
        currentSolution = candidateSolution;
        currentObjectiveValue = candidateObjectiveValue;
    end
    
    % Update the temperature
    temperature = initialTemperature * (finalTemperature / initialTemperature)^(iteration / nIterations);
end

% Display the final solution and objective value
disp('Final Solution:');
disp(currentSolution);
disp('Final Objective Value:');
disp(currentObjectiveValue);
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