蚁群算法 旅行商 完整js代码
时间: 2024-02-09 20:05:24 浏览: 27
抱歉,根据提供的引用内容,没有找到完整的JavaScript代码实现蚁群算法解决旅行商问题的示例。但是,我可以为您提供一个基本的蚁群算法的伪代码示例,以帮助您理解算法的工作原理。
```javascript
// 初始化参数
const numAnts = 10; // 蚂蚁数量
const numIterations = 100; // 迭代次数
const alpha = 1; // 信息素重要程度因子
const beta = 2; // 启发式信息重要程度因子
const rho = 0.5; // 信息素蒸发系数
const Q = 100; // 信息素增加强度
// 初始化城市距离矩阵和信息素矩阵
const distanceMatrix = [
[0, 10, 15, 20],
[10, 0, 35, 25],
[15, 35, 0, 30],
[20, 25, 30, 0]
];
const pheromoneMatrix = [
[1, 1, 1, 1],
[1, 1, 1, 1],
[1, 1, 1, 1],
[1, 1, 1, 1]
];
// 初始化最佳路径和最短距离
let bestPath = [];
let shortestDistance = Infinity;
// 迭代搜索
for (let iteration = 0; iteration < numIterations; iteration++) {
// 每只蚂蚁进行路径选择
for (let ant = 0; ant < numAnts; ant++) {
const visited = new Set(); // 已访问的城市
const path = []; // 当前蚂蚁的路径
let currentCity = 0; // 当前所在城市
// 选择下一个城市,直到所有城市都被访问
while (visited.size < distanceMatrix.length) {
visited.add(currentCity);
path.push(currentCity);
// 计算下一个城市的选择概率
const probabilities = [];
for (let city = 0; city < distanceMatrix.length; city++) {
if (!visited.has(city)) {
const pheromone = pheromoneMatrix[currentCity][city];
const distance = distanceMatrix[currentCity][city];
const probability = Math.pow(pheromone, alpha) * Math.pow(1 / distance, beta);
probabilities.push({ city, probability });
}
}
// 根据选择概率选择下一个城市
const sumProbabilities = probabilities.reduce((sum, { probability }) => sum + probability, 0);
const random = Math.random() * sumProbabilities;
let cumulativeProbability = 0;
for (const { city, probability } of probabilities) {
cumulativeProbability += probability;
if (random <= cumulativeProbability) {
currentCity = city;
break;
}
}
}
// 计算当前路径的总距离
const distance = path.reduce((sum, city, index) => {
const nextCity = path[(index + 1) % path.length];
return sum + distanceMatrix[city][nextCity];
}, 0);
// 更新最佳路径和最短距离
if (distance < shortestDistance) {
bestPath = path;
shortestDistance = distance;
}
}
// 更新信息素矩阵
for (let i = 0; i < pheromoneMatrix.length; i++) {
for (let j = 0; j < pheromoneMatrix[i].length; j++) {
pheromoneMatrix[i][j] *= (1 - rho); // 信息素蒸发
}
}
for (let i = 0; i < bestPath.length; i++) {
const city = bestPath[i];
const nextCity = bestPath[(i + 1) % bestPath.length];
pheromoneMatrix[city][nextCity] += Q / shortestDistance; // 信息素增加
}
}
// 输出最佳路径和最短距离
console.log("Best path:", bestPath);
console.log("Shortest distance:", shortestDistance);
```