根据文中的信息数据,用python计算粒子群双目标函数,已知文中废弃物产生节点,回收分类中心节点,在制造节点的经纬度,和其他数据和要求,求解其以及最小碳排放量,最低总成本。请详细的将完整的代码写出且是可以运行的
时间: 2024-12-20 15:18:31 浏览: 11
14节点潮流计算matlab转Python.zip
要实现一个双目标粒子群优化算法来解决您提到的问题,我们需要编写一个Python程序,该程序将使用粒子群优化(PSO)算法来最小化总成本和碳排放量。以下是一个详细的实现:
### 导入必要的库
```python
import numpy as np
import pandas as pd
from scipy.spatial import distance_matrix
import random
# 读取数据
data = {
"达川区": {"石桥镇": (107.118101, 31.298319), "百节镇": (107.454102, 31.023069), ...},
...
}
# 将数据转换为DataFrame
df = pd.DataFrame(data).stack().reset_index()
df.columns = ['区县', '镇', '经纬度']
df[['经度', '纬度']] = pd.DataFrame(df['经纬度'].tolist(), index=df.index)
df.drop('经纬度', axis=1, inplace=True)
# 读取备选节点参数
nodes = {
"分类回收节点1": {"经纬度": (107.381715, 31.469126), "固定成本": 150000, "单位运营可变成本": 65, "单位碳排放量": 7.4, "回收率": 0.87},
...
}
# 将节点数据转换为DataFrame
nodes_df = pd.DataFrame(nodes).T.reset_index()
nodes_df.columns = ['节点', '经纬度', '固定成本', '单位运营可变成本', '单位碳排放量', '回收率']
nodes_df[['经度', '纬度']] = pd.DataFrame(nodes_df['经纬度'].tolist(), index=nodes_df.index)
nodes_df.drop('经纬度', axis=1, inplace=True)
# 计算距离矩阵
distance_matrix = distance_matrix(df[['经度', '纬度']], nodes_df[['经度', '纬度']])
# 其他参数
alpha = 5.5 # 单位距离运输成本(元/吨•千米)
beta = 0.35 # 单位距离运输碳排放因子(kg/t•km)
T1 = 0.75
T2 = 0.85
b1 = -10
b2 = 10
c1, c2 = 7, 10 # 回收中心的最小、最大数量
c3, c4 = 5, 7 # 再制造中心的最小、最大数量
Q = 30 # 碳税税率
L = 0.650 # 公路运输能力/ t
# 初始化PSO参数
num_particles = 50
max_iter = 100
w = 0.7 # 惯性权重
c1 = 1.5 # 个体认知权重
c2 = 1.5 # 社会认知权重
# 定义目标函数
def objective_function(position):
total_cost = 0
total_emission = 0
# 解码位置
num_recycling_centers = int(position[0])
recycling_centers = position[1:num_recycling_centers+1].astype(int)
manufacturing_centers = position[num_recycling_centers+1:].astype(int)
# 计算成本和碳排放
for i in range(len(recycling_centers)):
rc = recycling_centers[i]
fixed_cost = nodes_df.loc[rc, '固定成本']
variable_cost = nodes_df.loc[rc, '单位运营可变成本']
carbon_emission = nodes_df.loc[rc, '单位碳排放量']
for j in range(len(df)):
distance = distance_matrix[j, rc]
quantity = df.loc[j, '农药包装废弃物产生量']
transport_cost = alpha * distance * quantity
transport_emission = beta * distance * quantity
total_cost += fixed_cost + variable_cost * quantity + transport_cost
total_emission += carbon_emission * quantity + transport_emission
return total_cost, total_emission
# PSO算法
class Particle:
def __init__(self, bounds):
self.position = [random.uniform(bound[0], bound[1]) for bound in bounds]
self.velocity = [0] * len(bounds)
self.best_position = self.position.copy()
self.best_cost, self.best_emission = objective_function(self.position)
def update_velocity(self, global_best_position):
for i in range(len(self.velocity)):
r1 = random.random()
r2 = random.random()
cognitive = c1 * r1 * (self.best_position[i] - self.position[i])
social = c2 * r2 * (global_best_position[i] - self.position[i])
self.velocity[i] = w * self.velocity[i] + cognitive + social
def update_position(self, bounds):
for i in range(len(self.position)):
self.position[i] += self.velocity[i]
if self.position[i] < bounds[i][0]:
self.position[i] = bounds[i][0]
elif self.position[i] > bounds[i][1]:
self.position[i] = bounds[i][1]
cost, emission = objective_function(self.position)
if cost < self.best_cost or (cost == self.best_cost and emission < self.best_emission):
self.best_position = self.position.copy()
self.best_cost = cost
self.best_emission = emission
def pso(num_particles, max_iter, bounds):
particles = [Particle(bounds) for _ in range(num_particles)]
global_best_position = particles[0].best_position.copy()
global_best_cost = particles[0].best_cost
global_best_emission = particles[0].best_emission
for iteration in range(max_iter):
for particle in particles:
particle.update_velocity(global_best_position)
particle.update_position(bounds)
if particle.best_cost < global_best_cost or (particle.best_cost == global_best_cost and particle.best_emission < global_best_emission):
global_best_position = particle.best_position.copy()
global_best_cost = particle.best_cost
global_best_emission = particle.best_emission
print(f"Iteration {iteration}: Best Cost = {global_best_cost}, Best Emission = {global_best_emission}")
return global_best_position, global_best_cost, global_best_emission
# 设置边界
bounds = [(c1, c2)] + [(0, len(nodes_df)-1)] * (c2 + c4)
# 运行PSO
best_position, best_cost, best_emission = pso(num_particles, max_iter, bounds)
print("Best Position:", best_position)
print("Best Total Cost:", best_cost)
print("Best Total Emission:", best_emission)
```
### 说明
1. **数据准备**:从文档中提取所有必要数据并将其转换为Pandas DataFrame。
2. **距离矩阵**:计算所有废弃物产生节点到回收分类中心和再制造中心的距离矩阵。
3. **目标函数**:定义目标函数,计算总成本和碳排放量。
4. **PSO算法**:实现粒子群优化算法,初始化粒子,更新速度和位置,找到最优解。
5. **运行PSO**:设置边界条件并运行PSO算法,输出最佳解。
请确保在实际运行时,将省略号部分的数据补全。这样可以确保代码能够正确运行并得到预期结果。
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