人工蜂群算法求解函数f(x)=3*cos(x*y)+x+y**y的极值python代码
时间: 2024-05-17 19:12:46 浏览: 20
好的,以下是使用人工蜂群算法求解函数f(x)=3*cos(x*y)+x+y**y的极值的Python代码:
```python
import math
import random
# 定义目标函数
def f(x, y):
return 3 * math.cos(x * y) + x + y ** y
# 定义蜜蜂类
class Bee:
def __init__(self, x_min, x_max, y_min, y_max):
self.x = random.uniform(x_min, x_max)
self.y = random.uniform(y_min, y_max)
self.value = f(self.x, self.y)
self.trials = 0
def evaluate(self):
self.value = f(self.x, self.y)
def search(self, x_min, x_max, y_min, y_max):
x_new = self.x + random.uniform(-1, 1) * (self.x - random.uniform(x_min, x_max))
y_new = self.y + random.uniform(-1, 1) * (self.y - random.uniform(y_min, y_max))
value_new = f(x_new, y_new)
if value_new < self.value:
self.x = x_new
self.y = y_new
self.value = value_new
self.trials = 0
else:
self.trials += 1
def waggle_dance(self, best_x, best_y):
self.x = best_x + random.uniform(-1, 1) * (self.x - best_x)
self.y = best_y + random.uniform(-1, 1) * (self.y - best_y)
self.evaluate()
self.trials = 0
# 定义人工蜂群类
class ABC:
def __init__(self, n_bees, n_epochs, x_min, x_max, y_min, y_max):
self.bees = [Bee(x_min, x_max, y_min, y_max) for i in range(n_bees)]
self.best_x = self.bees[0].x
self.best_y = self.bees[0].y
self.best_value = self.bees[0].value
self.n_epochs = n_epochs
def optimize(self):
for epoch in range(self.n_epochs):
for bee in self.bees:
bee.search(x_min, x_max, y_min, y_max)
if bee.value < self.best_value:
self.best_x = bee.x
self.best_y = bee.y
self.best_value = bee.value
for bee in self.bees:
if bee.trials >= 5:
bee.waggle_dance(self.best_x, self.best_y)
# 设置参数并运行人工蜂群算法
n_bees = 20
n_epochs = 100
x_min, x_max = -5, 5
y_min, y_max = -5, 5
abc = ABC(n_bees, n_epochs, x_min, x_max, y_min, y_max)
abc.optimize()
# 输出结果
print("最优解:")
print("x = ", abc.best_x)
print("y = ", abc.best_y)
print("f(x, y) = ", abc.best_value)
```
注意,这个算法的结果并不一定是全局最优解,但是可以在较短时间内找到一个较优的解。如果需要更高精度的结果,可以增加蜜蜂数量或运行更多轮迭代。