Create Algorithm1.js

Author: kothakokila

Algorithm1.js

@@ -0,0 +1,127 @@
+class GeneticAlgorithmTSP {
+  constructor(cities, populationSize, mutationRate, generations) {
+    this.cities = cities;
+    this.populationSize = populationSize;
+    this.mutationRate = mutationRate;
+    this.generations = generations;
+    this.population = [];
+  }
+
+  // Initialize population with random routes
+  initializePopulation() {
+    for (let i = 0; i < this.populationSize; i++) {
+      let route = [...this.cities].sort(() => Math.random() - 0.5);
+      this.population.push(route);
+    }
+  }
+
+  // Calculate fitness based on total route distance
+  calculateFitness(route) {
+    let distance = 0;
+    for (let i = 0; i < route.length - 1; i++) {
+      distance += this.distance(route[i], route[i + 1]);
+    }
+    distance += this.distance(route[route.length - 1], route[0]);
+    return 1 / distance;
+  }
+
+  // Calculate distance between two cities (Pythagorean theorem)
+  distance(city1, city2) {
+    const dx = city1.x - city2.x;
+    const dy = city1.y - city2.y;
+    return Math.sqrt(dx * dx + dy * dy);
+  }
+
+  // Selection based on fitness (roulette wheel selection)
+  selectParents() {
+    const fitnesses = this.population.map(route => this.calculateFitness(route));
+    const totalFitness = fitnesses.reduce((acc, fitness) => acc + fitness, 0);
+    const probabilities = fitnesses.map(fitness => fitness / totalFitness);
+
+    let parent1 = this.population[this.rouletteWheelSelection(probabilities)];
+    let parent2 = this.population[this.rouletteWheelSelection(probabilities)];
+    return [parent1, parent2];
+  }
+
+  rouletteWheelSelection(probabilities) {
+    let r = Math.random();
+    let sum = 0;
+    for (let i = 0; i < probabilities.length; i++) {
+      sum += probabilities[i];
+      if (r <= sum) return i;
+    }
+  }
+
+  // Crossover (Ordered Crossover)
+  crossover(parent1, parent2) {
+    const start = Math.floor(Math.random() * parent1.length);
+    const end = start + Math.floor(Math.random() * (parent1.length - start));
+    const child = new Array(parent1.length).fill(null);
+
+    for (let i = start; i < end; i++) {
+      child[i] = parent1[i];
+    }
+
+    let parent2Index = 0;
+    for (let i = 0; i < child.length; i++) {
+      if (child[i] === null) {
+        while (child.includes(parent2[parent2Index])) {
+          parent2Index++;
+        }
+        child[i] = parent2[parent2Index];
+      }
+    }
+    return child;
+  }
+
+  // Mutation (swap mutation)
+  mutate(route) {
+    if (Math.random() < this.mutationRate) {
+      const index1 = Math.floor(Math.random() * route.length);
+      const index2 = (index1 + 1 + Math.floor(Math.random() * (route.length - 1))) % route.length;
+      [route[index1], route[index2]] = [route[index2], route[index1]];
+    }
+    return route;
+  }
+
+  // Evolve population
+  evolve() {
+    const newPopulation = [];
+    for (let i = 0; i < this.populationSize; i++) {
+      const [parent1, parent2] = this.selectParents();
+      let child = this.crossover(parent1, parent2);
+      child = this.mutate(child);
+      newPopulation.push(child);
+    }
+    this.population = newPopulation;
+  }
+
+  // Run the genetic algorithm
+  run() {
+    this.initializePopulation();
+    for (let i = 0; i < this.generations; i++) {
+      this.evolve();
+    }
+    return this.getBestRoute();
+  }
+
+  // Get the best route in the current population
+  getBestRoute() {
+    return this.population.reduce((bestRoute, route) => {
+      return this.calculateFitness(route) > this.calculateFitness(bestRoute) ? route : bestRoute;
+    });
+  }
+}
+
+// Example usage:
+const cities = [
+  { x: 0, y: 0 },
+  { x: 1, y: 2 },
+  { x: 4, y: 3 },
+  { x: 5, y: 1 },
+  { x: 3, y: 5 }
+];
+
+const gaTSP = new GeneticAlgorithmTSP(cities, 50, 0.01, 1000);
+const bestRoute = gaTSP.run();
+console.log('Best Route:', bestRoute);