写出基于差分进化算法的全局优化算法的python代码
时间: 2023-12-29 10:03:14 浏览: 138
当然可以,以下是一份简单的Python代码实现:
```python
import numpy as np
def DE(fobj, bounds, npop=50, F=0.5, CR=0.8, ngen=100):
# 初始化种群
pop = np.random.uniform(bounds[0], bounds[1], (npop, len(bounds)))
# 初始化适应度
fitness = np.array([fobj(ind) for ind in pop])
# 初始化最优解和适应度
best_idx = np.argmin(fitness)
best = pop[best_idx]
fbest = fitness[best_idx]
for i in range(ngen):
# 变异
idxs = np.random.choice(npop, 3, replace=False)
x0, x1, x2 = pop[idxs]
v = x0 + F * (x1 - x2)
# 交叉
mask = np.random.rand(len(bounds)) < CR
mask[np.random.randint(len(bounds))] = True
u = np.where(mask, v, pop[i])
# 选择
fitness_u = fobj(u)
if fitness_u < fitness[i]:
pop[i] = u
fitness[i] = fitness_u
if fitness_u < fbest:
best = u
fbest = fitness_u
return best, fbest
```
这份代码实现了DE算法的主要流程,包括种群初始化、变异、交叉、选择等步骤。其中,`fobj`表示目标函数,`bounds`表示变量的上下界,`npop`表示种群大小,`F`和`CR`表示变异和交叉的参数,`ngen`表示迭代次数。
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