Python 概率模拟

Python 概率模拟,python,list,for-loop,simulation,probability,Python,List,For Loop,Simulation,Probability,我被要求模拟一天中每小时(即24小时)打印机是否工作。如果打印机在一小时后工作,那么它工作的概率为90%,在下一小时结束时被损坏的概率为10% 如果它坏了,那么它在下一个小时工作或被坏的概率为50% 假设随机均匀分布,打印机工作的第一个小时 我的Python代码如下: Chance = [] Status = [] for i in range(24): Chance.append(random.uniform(0,1)) Chance[0] = 1 Chance for i in C

我被要求模拟一天中每小时(即24小时)打印机是否工作。如果打印机在一小时后工作,那么它工作的概率为90%,在下一小时结束时被损坏的概率为10%

如果它坏了,那么它在下一个小时工作或被坏的概率为50%

假设随机均匀分布,打印机工作的第一个小时

我的Python代码如下:

Chance = []
Status = []
for i in range(24):
    Chance.append(random.uniform(0,1))
Chance[0] = 1
Chance

for i in Chance:
    if i > 0.1:
        Status.append('Working')
    else:
        Status.append('Broken')
Chance, Status

我的问题是,我无法基于上一个事件模拟当前事件,即,如果上一个事件被破坏,我如何将当前事件的概率调整为0.5。

您应该记住上一步(小时)打印机的状态,并调整计算随机二进制输出的阈值:

status = []
lastStatus = True # Assume it was working

for i in range(24):
    threshold = 0.1 if lastStatus else 0.5
    lastStatus = random.uniform(0, 1) > threshold
    status.append('Working' if lastStatus else 'Broken')

您应该记住上一步(小时)打印机的状态,并调整用于计算随机二进制输出的阈值:

status = []
lastStatus = True # Assume it was working

for i in range(24):
    threshold = 0.1 if lastStatus else 0.5
    lastStatus = random.uniform(0, 1) > threshold
    status.append('Working' if lastStatus else 'Broken')

您需要先定义概率表,如下所示:

                 |              NEXT STATE                |
                 |    WORKING        |      BROKEN        |
CURRENT| WORKING |      0.9          |        0.1         |
STATE  |---------|-------------------|--------------------| 
       | BROKEN  |      0.5          |        0.5         |
import random

# The table above
table = [[.9,.1],[.5,.5]]

def simulate():
    # 0 means working, 1 means broken
    current_state = 0
    # Initialise variable
    next_state = current_state

    for i in range(24):
        # Get a number between 0 and 1
        chance = random.uniform(0, 1)

        # Given my current state (line 0 or 1), what chance do I have
        # to work the next hour ?
        if chance <= table[current_state][0]:
            # The chance variable has more chance to be under if the number
            # in the table is high.
            next_state = 0
        else:
            # BROKEN
            next_state = 1
        current_state = next_state
        print("Current state " + ("Working" if current_state == 0 else "Broken"))

if __name__ == "__main__":
    simulate()
以便能够非常轻松地更改值。您甚至可以轻松地添加新状态。像这样使用它:

                 |              NEXT STATE                |
                 |    WORKING        |      BROKEN        |
CURRENT| WORKING |      0.9          |        0.1         |
STATE  |---------|-------------------|--------------------| 
       | BROKEN  |      0.5          |        0.5         |
import random

# The table above
table = [[.9,.1],[.5,.5]]

def simulate():
    # 0 means working, 1 means broken
    current_state = 0
    # Initialise variable
    next_state = current_state

    for i in range(24):
        # Get a number between 0 and 1
        chance = random.uniform(0, 1)

        # Given my current state (line 0 or 1), what chance do I have
        # to work the next hour ?
        if chance <= table[current_state][0]:
            # The chance variable has more chance to be under if the number
            # in the table is high.
            next_state = 0
        else:
            # BROKEN
            next_state = 1
        current_state = next_state
        print("Current state " + ("Working" if current_state == 0 else "Broken"))

if __name__ == "__main__":
    simulate()
随机导入
#上表
表=[.9,1]、.5,5]]
def simulate():
#0表示工作,1表示损坏
当前状态=0
#初始化变量
下一个\u状态=当前\u状态
对于范围(24)内的i:
#获取一个介于0和1之间的数字
机会=随机。均匀(0,1)
#考虑到我目前的状态(第0行或第1行),我有什么机会
#下个小时还要工作吗?

如果chance您需要在之前定义您的概率表,如下所示:

                 |              NEXT STATE                |
                 |    WORKING        |      BROKEN        |
CURRENT| WORKING |      0.9          |        0.1         |
STATE  |---------|-------------------|--------------------| 
       | BROKEN  |      0.5          |        0.5         |
import random

# The table above
table = [[.9,.1],[.5,.5]]

def simulate():
    # 0 means working, 1 means broken
    current_state = 0
    # Initialise variable
    next_state = current_state

    for i in range(24):
        # Get a number between 0 and 1
        chance = random.uniform(0, 1)

        # Given my current state (line 0 or 1), what chance do I have
        # to work the next hour ?
        if chance <= table[current_state][0]:
            # The chance variable has more chance to be under if the number
            # in the table is high.
            next_state = 0
        else:
            # BROKEN
            next_state = 1
        current_state = next_state
        print("Current state " + ("Working" if current_state == 0 else "Broken"))

if __name__ == "__main__":
    simulate()
以便能够非常轻松地更改值。您甚至可以轻松地添加新状态。像这样使用它:

                 |              NEXT STATE                |
                 |    WORKING        |      BROKEN        |
CURRENT| WORKING |      0.9          |        0.1         |
STATE  |---------|-------------------|--------------------| 
       | BROKEN  |      0.5          |        0.5         |
import random

# The table above
table = [[.9,.1],[.5,.5]]

def simulate():
    # 0 means working, 1 means broken
    current_state = 0
    # Initialise variable
    next_state = current_state

    for i in range(24):
        # Get a number between 0 and 1
        chance = random.uniform(0, 1)

        # Given my current state (line 0 or 1), what chance do I have
        # to work the next hour ?
        if chance <= table[current_state][0]:
            # The chance variable has more chance to be under if the number
            # in the table is high.
            next_state = 0
        else:
            # BROKEN
            next_state = 1
        current_state = next_state
        print("Current state " + ("Working" if current_state == 0 else "Broken"))

if __name__ == "__main__":
    simulate()
随机导入
#上表
表=[.9,1]、.5,5]]
def simulate():
#0表示工作,1表示损坏
当前状态=0
#初始化变量
下一个\u状态=当前\u状态
对于范围(24)内的i:
#获取一个介于0和1之间的数字
机会=随机。均匀(0,1)
#考虑到我目前的状态(第0行或第1行),我有什么机会
#下个小时还要工作吗?
如果有机会使用该脚本:

import random

broken_probability = 0
for i in range(24):
    if random.randrange(100) > broken_probability:
        status = 'Working'
        broken_probability += 10
    else:
        status = 'Broken '
        broken_probability = 50

    print('Hour: {} - Status: {} - Broken Probability: {}'.format(str(i).zfill(2), status, broken_probability))
我得到了以下结果:

Hour: 00 - Status: Working - Broken Probability: 10
Hour: 01 - Status: Working - Broken Probability: 20
Hour: 02 - Status: Broken  - Broken Probability: 50
Hour: 03 - Status: Broken  - Broken Probability: 50
Hour: 04 - Status: Broken  - Broken Probability: 50
Hour: 05 - Status: Broken  - Broken Probability: 50
Hour: 06 - Status: Working - Broken Probability: 60
Hour: 07 - Status: Broken  - Broken Probability: 50
Hour: 08 - Status: Broken  - Broken Probability: 50
Hour: 09 - Status: Working - Broken Probability: 60
Hour: 10 - Status: Broken  - Broken Probability: 50
Hour: 11 - Status: Broken  - Broken Probability: 50
Hour: 12 - Status: Working - Broken Probability: 60
Hour: 13 - Status: Broken  - Broken Probability: 50
Hour: 14 - Status: Broken  - Broken Probability: 50
Hour: 15 - Status: Working - Broken Probability: 60
Hour: 16 - Status: Working - Broken Probability: 70
Hour: 17 - Status: Broken  - Broken Probability: 50
Hour: 18 - Status: Broken  - Broken Probability: 50
Hour: 19 - Status: Broken  - Broken Probability: 50
Hour: 20 - Status: Broken  - Broken Probability: 50
Hour: 21 - Status: Working - Broken Probability: 60
Hour: 22 - Status: Broken  - Broken Probability: 50
Hour: 23 - Status: Working - Broken Probability: 60
用这个脚本:

import random

broken_probability = 0
for i in range(24):
    if random.randrange(100) > broken_probability:
        status = 'Working'
        broken_probability += 10
    else:
        status = 'Broken '
        broken_probability = 50

    print('Hour: {} - Status: {} - Broken Probability: {}'.format(str(i).zfill(2), status, broken_probability))
我得到了以下结果:

Hour: 00 - Status: Working - Broken Probability: 10
Hour: 01 - Status: Working - Broken Probability: 20
Hour: 02 - Status: Broken  - Broken Probability: 50
Hour: 03 - Status: Broken  - Broken Probability: 50
Hour: 04 - Status: Broken  - Broken Probability: 50
Hour: 05 - Status: Broken  - Broken Probability: 50
Hour: 06 - Status: Working - Broken Probability: 60
Hour: 07 - Status: Broken  - Broken Probability: 50
Hour: 08 - Status: Broken  - Broken Probability: 50
Hour: 09 - Status: Working - Broken Probability: 60
Hour: 10 - Status: Broken  - Broken Probability: 50
Hour: 11 - Status: Broken  - Broken Probability: 50
Hour: 12 - Status: Working - Broken Probability: 60
Hour: 13 - Status: Broken  - Broken Probability: 50
Hour: 14 - Status: Broken  - Broken Probability: 50
Hour: 15 - Status: Working - Broken Probability: 60
Hour: 16 - Status: Working - Broken Probability: 70
Hour: 17 - Status: Broken  - Broken Probability: 50
Hour: 18 - Status: Broken  - Broken Probability: 50
Hour: 19 - Status: Broken  - Broken Probability: 50
Hour: 20 - Status: Broken  - Broken Probability: 50
Hour: 21 - Status: Working - Broken Probability: 60
Hour: 22 - Status: Broken  - Broken Probability: 50
Hour: 23 - Status: Working - Broken Probability: 60

首先,您可以使用
Chance=np.random.uniform(size=24)
代替for循环。第二,为什么第6行中有
Chance
都是单独的呢?首先,你可以做
Chance=np.random.uniform(size=24)
而不是for循环。第二,为什么你在第6行就有了机会?