自适应引力搜索算法的matlab代码

以下是自适应引力搜索算法的MATLAB代码示例：

function [bestSol, bestFitness] = adaptiveGravitySearch(numParticles, numIterations, lb, ub, dim)
    % 参数设置
    G0 = 100; % 引力常数
    alpha = 20; % 加速常数
    beta = 1; % 缩放常数
    delta = 0.1; % 最小步长
    epsilon = 1e-6; % 终止条件
    initialStep = (ub - lb) / 100; % 初始步长

    % 初始化粒子位置和速度
    particles = lb + (ub - lb) * rand(numParticles, dim);
    velocities = zeros(numParticles, dim);

    % 计算初始适应度
    fitness = calculateFitness(particles);

    % 初始化最佳解和最佳适应度
    [bestFitness, bestIndex] = min(fitness);
    bestSol = particles(bestIndex, :);

    % 迭代优化
    for iter = 1:numIterations
        rands = rand(numParticles, dim);
        rands2 = rand(numParticles, dim);

        % 更新速度和位置
        for i = 1:numParticles
            gravity = 0;
            for j = 1:numParticles
                if j ~= i
                    r = norm(particles(i, :) - particles(j, :));
                    gravity = gravity + (-G0 / r) * (particles(j, :) - particles(i, :)) / r;
                end
            end

            acceleration = alpha * rands(i, :) .* gravity;
            velocities(i, :) = beta * velocities(i, :) + acceleration;
            velocities(i, :) = max(velocities(i, :), -initialStep);
            velocities(i, :) = min(velocities(i, :), initialStep);
            particles(i, :) = particles(i, :) + velocities(i, :);

            % 边界处理
            particles(i, :) = max(particles(i, :), lb);
            particles(i, :) = min(particles(i, :), ub);

            % 适应度更新
            newFitness = calculateFitness(particles(i, :));
            if newFitness < fitness(i)
                fitness(i) = newFitness;
            end

            % 更新全局最佳解
            if newFitness < bestFitness
                bestFitness = newFitness;
                bestSol = particles(i, :);
            end
        end

        % 动态调整步长
        stepSize = initialStep * exp(-iter / numIterations);
        velocities = velocities .* (rands2 > delta) + stepSize * rands2 .* (rands2 <= delta);

        % 判断终止条件
        if stepSize < epsilon
            break;
        end
    end
end

function fitness = calculateFitness(x)
    % 自定义适应度函数，根据实际问题进行编写
    % 这里假设适应度函数为x的平方和
    fitness = sum(x .^ 2);
end

以上是一个简单的自适应引力搜索算法的MATLAB实现。你可以根据自己的问题定义适应度函数，并根据需要调整算法参数和边界条件。注意，这只是一个基本示例，实际应用中可能需要进行更多的改进和调整。