Question

A disadvantage of the contention approach for LANs, such as CSMA/CD, is the capacity wasted due to multiple stations attempting to access the channel at the same time. Suppose that time is divided into discrete slots, with each of N stations attempting to transmit with probability p during each slot. What fraction of slots are wasted due to multiple simultaneous transmission attempts

Answer 1

Answer:

The overview of the given problem is outlined in the following segment on the explanation.

Step-by-step explanation:

The proportion of slots or positions that have been missed due to numerous concurrent transmission incidents can be estimated as follows:

Checking a probability of transmitting becomes "p".

After considering two or even more attempts, we get

Slot fraction wasted,

= $[1-no \ attempt \ probability-first \ attempt \ probability-second \ attempt \ probability+...]$

On putting the values, we get

= $1-no \ attempt \ probability-[N\times P\times probability \ of \ attempts]$

= $1-(1-P)^{N}-N[P(1-P)^{N}]$

So that the above seems to be the right answer.