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遺傳算法(Genetic Algorithm, GA)是一種基于自然選擇和遺傳學(xué)原理的優(yōu)化算法,用于求解復(fù)雜的搜索和優(yōu)化問題。在Java中實現(xiàn)遺傳算法通常包括以下幾個步驟:
- 初始化種群:生成一組隨機(jī)解作為初始種群。
- 適應(yīng)度評估:定義一個適應(yīng)度函數(shù),用于評估每個解的優(yōu)劣。
- 選擇:根據(jù)適應(yīng)度選擇適應(yīng)度較高的個體作為父代,用于生成下一代。
- 交叉(Crossover):通過交換父代的部分基因來生成子代。
- 變異(Mutation):以一定的概率隨機(jī)改變子代的基因,增加種群的多樣性。
- 替代:用子代替代部分或全部父代,形成新的種群。
- 終止條件:設(shè)定終止條件(如達(dá)到最大迭代次數(shù)或適應(yīng)度達(dá)到某個閾值),終止算法。
以下是一個簡單的Java實現(xiàn)遺傳算法的示例,用于解決一個優(yōu)化問題(如最大化某個函數(shù))。
import java.util.ArrayList;
import java.util.Collections;
import java.util.List;
import java.util.Random; class Individual { private int[] genes; private double fitness; public Individual(int geneLength) { genes = new int[geneLength]; Random rand = new Random(); for (int i = 0; i < geneLength; i++) { genes[i] = rand.nextInt(2); // 0 or 1 } } public double getFitness() { return fitness; } public void setFitness(double fitness) { this.fitness = fitness; } public int[] getGenes() { return genes; } @Override public String toString() { StringBuilder sb = new StringBuilder(); for (int gene : genes) { sb.append(gene); } return sb.toString(); }
} class GeneticAlgorithm { private static final int POPULATION_SIZE = 100; private static final int GENE_LENGTH = 10; private static final int MAX_GENERATIONS = 1000; private static final double MUTATION_RATE = 0.01; public static void main(String[] args) { List<Individual> population = initializePopulation(POPULATION_SIZE, GENE_LENGTH); for (int generation = 0; generation < MAX_GENERATIONS; generation++) { evaluateFitness(population); List<Individual> newPopulation = generateNewPopulation(population); population = newPopulation; // 輸出當(dāng)前最優(yōu)解 Collections.sort(population, (i1, i2) -> Double.compare(i2.getFitness(), i1.getFitness())); System.out.println("Generation " + generation + ": Best Fitness = " + population.get(0).getFitness()); } } private static List<Individual> initializePopulation(int populationSize, int geneLength) { List<Individual> population = new ArrayList<>(); for (int i = 0; i < populationSize; i++) { population.add(new Individual(geneLength)); } return population; } private static void evaluateFitness(List<Individual> population) { for (Individual individual : population) { // 示例適應(yīng)度函數(shù):計算二進(jìn)制字符串中1的個數(shù)(可以根據(jù)具體問題修改) int countOnes = 0; for (int gene : individual.getGenes()) { if (gene == 1) { countOnes++; } } individual.setFitness(countOnes); } } private static List<Individual> generateNewPopulation(List<Individual> population) { List<Individual> newPopulation = new ArrayList<>(); while (newPopulation.size() < POPULATION_SIZE) { Individual parent1 = selectParent(population); Individual parent2 = selectParent(population); Individual child = crossover(parent1, parent2); mutate(child); newPopulation.add(child); } return newPopulation; } private static Individual selectParent(List<Individual> population) { // 輪盤賭選擇 double totalFitness = population.stream().mapToDouble(Individual::getFitness).sum(); double randomValue = new Random().nextDouble() * totalFitness; double cumulativeFitness = 0.0; for (Individual individual : population) { cumulativeFitness += individual.getFitness(); if (cumulativeFitness >= randomValue) { return individual; } } return population.get(population.size() - 1); // 如果沒有匹配,返回最后一個 } private static Individual crossover(Individual parent1, Individual parent2) { int crossoverPoint = new Random().nextInt(parent1.getGenes().length); int[] childGenes = new int[parent1.getGenes().length]; System.arraycopy(parent1.getGenes(), 0, childGenes, 0, crossoverPoint); System.arraycopy(parent2.getGenes(), crossoverPoint, childGenes, crossoverPoint, parent2.getGenes().length - crossoverPoint); return new Individual() { { this.genes = childGenes; } }; } private static void mutate(Individual individual) { Random rand = new Random(); for (int i = 0; i < individual.getGenes().length; i++) { if (rand.nextDouble() < MUTATION_RATE) { individual.getGenes()[i] = 1 - individual.getGenes()[i]; // 0變1,1變0 } } }
}
注意事項
- 適應(yīng)度函數(shù):根據(jù)具體問題定義,這里示例的是計算二進(jìn)制字符串中1的個數(shù)。
- 選擇方法:這里使用了輪盤賭選擇(Roulette Wheel Selection),但還有其他選擇方法如錦標(biāo)賽選擇(Tournament Selection)等。
- 交叉和變異:交叉和變異操作的具體實現(xiàn)可以根據(jù)問題需求進(jìn)行調(diào)整。
- 性能優(yōu)化:可以根據(jù)實際需求對算法進(jìn)行優(yōu)化,比如使用精英保留策略(Elite Preservation)等。
這個示例展示了基本的遺傳算法框架,你可以根據(jù)具體需求進(jìn)行擴(kuò)展和修改。