本次香港代写主要为排队论的限时测试

EE6610 Queueing Theory with Telecommunications Applications

在开始回答问题之前,请考虑您的8位数字并记下
变量 N1, N2, N3, … N8,如下。 N1 = [第一位],N2 = [第二位],N3 =
[第三位数字]等

假设你的 8 位数字是 36894725。然后写下:
N1 = 3,N2 = 6,N3 = 8,N4 = 9,N5 = 4,N6 = 7,N7 = 2,N8 = 5。

对于所有问题,将要求您将这些问题与这些问题的具体值一起翻译
变量,只考虑答案中的特定值。

问题1(15分)
考虑一个泊松过程,其速率(每秒出现次数)等于N2 + 10。

1.将此语句转换为具有实际变量值而不是函数的语句
N2 通过复制以下粗体语句并填充空格。 (1 分)
考虑速率(每秒出现次数)等于____的泊松过程。

2. 使用带有 N2 特定值的翻译版本,求出以下概率
在 2 秒的时间间隔内出现 23 次。显示所有步骤。 (9 分)。

3. 使用翻译后的版本和您的具体 N2 值,平均到达间隔时间是多少
那个泊松过程? (5 分)

Before you start to answer questions, consider your 8-digit number and write down the values of
the variables N1, N2, N3, … N8, as follows. N1 = [the first digit], N2 = [the second digit], N3 =
[the third digit], etc.

Suppose that your 8-digit number is 36894725. Then write down:
N1 = 3, N2 = 6, N3 = 8, N4 = 9, N5 = 4, N6 = 7, N7 = 2, N8 = 5.

For all questions, you will be required to translate the questions with the specific values of these
variables and only consider the specific values in your answers.

Question 1 (15 Marks)
Consider a Poisson process with rate (occurrences per second) which is equal to N2+10.

1. Translate this statement to a statement that has the actual variable value instead of the function
of N2 by copying the following bold statement and filling in the blank space. (1 Mark)
Consider a Poisson process with rate (occurrences per second) which is equal to ____.

2. Using the translated version with your specific value for N2, find the probability that there are
23 occurrences in a 2-second time interval. Show all steps. (9 Marks).

3. Using the translated version with your specific value for N2, what is the mean inter-arrival time
of that Poisson process? (5 Marks)

 


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