# coding: utf-8
import numpy as np
import random
import matplotlib.pyplot as plt
# ----------------------PSO参数设置---------------------------------
class PSO():
def __init__(self, pN, dim, max_iter):
self.w = 0.8
self.c1 = 2
self.c2 = 2
self.r1 = 0.6
self.r2 = 0.3
self.pN = pN # 粒子数量
self.dim = dim # 搜索维度
self.max_iter = max_iter # 迭代次数
self.X = np.zeros((self.pN, self.dim)) # 所有粒子的位置和速度
self.V = np.zeros((self.pN, self.dim))
self.pbest = np.zeros((self.pN, self.dim)) # 个体经历的最佳位置和全局最佳位置
self.gbest = np.zeros((1, self.dim))
self.p_fit = np.zeros(self.pN) # 每个个体的历史最佳适应值
self.fit = 1e10 # 全局最佳适应值
# ---------------------目标函数Sphere函数-----------------------------
def function(self, X):
return X**2-4*X+3
# ---------------------初始化种群----------------------------------
def init_Population(self):
for i in range(self.pN):
for j in range(self.dim):
self.X[i][j] = random.uniform(0, 1)
self.V[i][j] = random.uniform(0, 1)
self.pbest[i] = self.X[i]
tmp = self.function(self.X[i])
self.p_fit[i] = tmp
if tmp < self.fit:
self.fit = tmp
self.gbest = self.X[i]
# ----------------------更新粒子位置----------------------------------
def iterator(self):
fitness = []
for t in range(self.max_iter):
for i in range(self.pN): # 更新gbest\pbest
temp = self.function(self.X[i])
if temp < self.p_fit[i]: # 更新个体最优
self.p_fit[i] = temp
self.pbest[i] = self.X[i]
if self.p_fit[i] < self.fit: # 更新全局最优
self.gbest = self.X[i]
self.fit = self.p_fit[i]
for i in range(self.pN):
self.V[i] = self.w * self.V[i] + self.c1 * self.r1 * (self.pbest[i] - self.X[i]) + \
self.c2 * self.r2 * (self.gbest - self.X[i])
self.X[i] = self.X[i] + self.V[i]
fitness.append(self.fit)
print(self.X[0], end=" ")
print(self.fit) # 输出最优值
return fitness
# ----------------------程序执行-----------------------
my_pso = PSO(pN=30, dim=1, max_iter=100)
my_pso.init_Population()
fitness = my_pso.iterator()
# -------------------画图--------------------
plt.figure(1)
plt.title("Figure1")
plt.xlabel("iterators", size=14)
plt.ylabel("fitness", size=14)
t = np.array([t for t in range(0, 100)])
fitness = np.array(fitness)
plt.plot(t, fitness, color='b', linewidth=3)
plt.show()
第25行不是sphere函数,那个注释可以忽略
博主你好,请问你这里为什么每次只打印第1个粒子呢?而不是打印最优的那个粒子?
你可以打印最优的那个粒子
打印最优粒子的话,感觉代码要改很多~
想问一下,边界条件处理如何实现
你可以百度搜搜带约束问题的PSO算法的一般解决方法