使用python编写一份模拟退火算法来优化公交车当天的发车时刻的代码,要求考虑每日不同的时间段以及客流量的变化,同时把我需要输入的数据在代码旁边注释清楚,结果要求可以输出客流量变化图标和当天的发车时刻表,时刻表要细化到分钟
时间: 2024-05-10 17:15:06 浏览: 6
以下是一份简单的模拟退火算法来优化公交车发车时刻的 Python 代码,该代码考虑了每日不同的时间段以及客流量的变化。
```python
import random
import math
import matplotlib.pyplot as plt
# 客流量数据,每小时的客流量,共24小时
passenger_data = [10, 20, 30, 50, 60, 80, 100, 120, 150, 180, 200, 180, 150, 120, 100, 80, 60, 50, 30, 20, 10, 5, 5, 5]
# 时间段数据,每个时间段的起始时间和结束时间,以及每个时间段的发车间隔
time_data = [
{"start": "06:00", "end": "08:00", "interval": 5},
{"start": "08:00", "end": "10:00", "interval": 6},
{"start": "10:00", "end": "17:00", "interval": 10},
{"start": "17:00", "end": "20:00", "interval": 7},
{"start": "20:00", "end": "22:00", "interval": 8},
{"start": "22:00", "end": "24:00", "interval": 10},
]
# 计算总客流量
total_passenger = sum(passenger_data)
# 计算每分钟平均客流量
avg_passenger_per_minute = total_passenger / (24 * 60)
# 生成初始解
initial_solution = []
for time_slot in time_data:
start = int(time_slot["start"].split(":")[0]) * 60 + int(time_slot["start"].split(":")[1])
end = int(time_slot["end"].split(":")[0]) * 60 + int(time_slot["end"].split(":")[1])
interval = time_slot["interval"]
num_buses = math.ceil((end - start) / interval)
for i in range(num_buses):
# 随机生成发车时间
initial_solution.append(random.randint(start, end))
# 计算初始解的客流量
def calculate_passenger(solution):
passenger_per_slot = [0] * len(time_data)
for i in range(len(time_data)):
time_slot = time_data[i]
start = int(time_slot["start"].split(":")[0]) * 60 + int(time_slot["start"].split(":")[1])
end = int(time_slot["end"].split(":")[0]) * 60 + int(time_slot["end"].split(":")[1])
interval = time_slot["interval"]
for j in range(len(solution)):
if solution[j] >= start and solution[j] < end:
passenger_per_slot[i] += passenger_data[solution[j] // 60]
passenger_per_slot[i] /= interval
return sum(passenger_per_slot)
# 计算温度
def temperature(current_temperature, iteration):
return current_temperature * 0.95 ** iteration
# 计算新解
def get_new_solution(current_solution, current_temperature):
new_solution = current_solution.copy()
index = random.randint(0, len(new_solution) - 1)
new_solution[index] = random.randint(0, 24 * 60 - 1)
delta = calculate_passenger(new_solution) - calculate_passenger(current_solution)
if delta > 0:
return new_solution
else:
if math.exp(delta / current_temperature) > random.random():
return new_solution
else:
return current_solution
# 模拟退火算法
def simulated_annealing(initial_solution, initial_temperature):
current_solution = initial_solution
current_temperature = initial_temperature
best_solution = current_solution
best_score = calculate_passenger(current_solution)
iteration = 0
while current_temperature > 0.01:
new_solution = get_new_solution(current_solution, current_temperature)
new_score = calculate_passenger(new_solution)
if new_score > best_score:
best_solution = new_solution
best_score = new_score
current_solution = new_solution
current_temperature = temperature(current_temperature, iteration)
iteration += 1
return best_solution
# 优化求解
best_solution = simulated_annealing(initial_solution, 1000)
# 输出时刻表
time_table = [0] * (24 * 60)
for i in range(len(best_solution)):
time_table[best_solution[i]] += 1
for i in range(len(time_table)):
if time_table[i] > 0:
hour = i // 60
minute = i % 60
print("{:02d}:{:02d} - {:02d}:{:02d}".format(hour, minute, hour, minute + 5 * time_table[i]))
# 输出客流量变化图表
passenger_per_minute = [0] * (24 * 60)
for i in range(len(passenger_data)):
for j in range(60):
passenger_per_minute[i * 60 + j] = passenger_data[i] / 60
plt.plot(passenger_per_minute)
plt.show()
```
在上述代码中,`passenger_data` 表示每小时的客流量,共24小时。`time_data` 表示每个时间段的起始时间和结束时间,以及每个时间段的发车间隔。代码中使用模拟退火算法来优化公交车的发车时刻表,以最大化客流量。同时,代码还输出了客流量变化图表和当天的发车时刻表,时刻表细化到分钟。