In a pure ALOHA network, if the average frame transmission time is 1 ms, what is the vulnerable time?

Understand the Problem

The question is asking for the calculation of the vulnerable time in a pure ALOHA network given the average frame transmission time. In pure ALOHA, the vulnerable time is considered to be twice the frame transmission time. Therefore, we will calculate the vulnerable time as 2 times the average frame transmission time, which is 1 ms in this case.

Answer

The vulnerable time is $2 \text{ ms}$.
Answer for screen readers

The vulnerable time in the pure ALOHA network is $2 \text{ ms}$.

Steps to Solve

  1. Identify the average frame transmission time

We know from the problem that the average frame transmission time is given as 1 ms.

  1. Calculate the vulnerable time

In a pure ALOHA network, the vulnerable time is calculated as twice the average frame transmission time. Therefore, we can calculate it as follows:

$$ \text{Vulnerable Time} = 2 \times \text{Average Frame Transmission Time} $$

Substituting the values:

$$ \text{Vulnerable Time} = 2 \times 1 \text{ ms} $$

  1. Calculate the result

Now we perform the multiplication:

$$ \text{Vulnerable Time} = 2 \text{ ms} $$

The vulnerable time in the pure ALOHA network is $2 \text{ ms}$.

More Information

In ALOHA networks, the concept of vulnerable time is important because it represents the duration during which a frame can be affected by other frames that are transmitted at the same time. Since the transmission is random, this time must be accounted for to effectively manage data collisions.

Tips

  • A common mistake is confusing the average frame transmission time with the vulnerable time itself. Remember that vulnerable time is always double the average frame transmission time in a pure ALOHA network.

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