多元函数最小值(遗传算法理论)内含代码
用遗传算法求解y=200*exp(-0.05*x).*sin(x)在[-2 2]区间上的最大值以下是代码的思路
[*]初始化算法参数,包括自变量范围bounds、求解精度precision、初始种群大小popsize、最大迭代代数Generationnmax、交叉概率pcrossover、变异概率pmutation。这些参数用于控制算法的执行过程。
[*]根据自变量范围和求解精度,计算需要多长的染色体表示,即BitLength。
[*]生成初始种群,采用随机初始化的方式,使用rand函数生成大小为popsize×BitLength的矩阵,其中每个元素为0或1。
[*]计算初始种群的适应度,即调用fitnessfun函数计算每个个体的适应度Fitvalue,并计算累积概率cumsump。
[*]进行遗传算法的迭代过程,重复执行以下步骤Generationnmax次:a. 创建新种群的临时矩阵scnew和smnew,用于存储交叉和变异得到的新个体。b. 使用选择操作,根据累积概率cumsump选择父代个体,得到seln。c. 使用交叉操作,根据交叉概率pcrossover对父代进行交叉,生成新个体scro,并将其存储在scnew中。d. 使用变异操作,根据变异概率pmutation对交叉后的个体进行变异,生成新个体smnew,并将其存储在smnew中。e. 更新种群,将新种群smnew赋值给原来的种群population。f. 计算新种群的适应度,更新Fitvalue和cumsump。g. 记录当前代的最佳适应度和平均适应度,通过求解Fitvalue的最大值和平均值得到。h. 记录当前代的最佳染色体个体,通过将最佳个体转换到实际范围内得到。i. 迭代代数加1。
[*]迭代结束后,输出最优个体和最优目标函数值。
[*]绘制适应度曲线,包括最大适应度和平均适应度随迭代代数的变化情况,用于分析算法的收敛性和性能。
代码用于实现遗传算法求解一维优化问题,通过选择、交叉和变异操作不断优化种群,最终得到最优个体和最优目标函数值。
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