Question

A group of N stations share a 56-kbps pure ALOHA channel. Each station outputs a 1000-bit frame on average once every 100 sec, even if the previous one has not yet been sent (e.g., the stations can buffer outgoing frames). What is the maximum value of N?

Answer 1

Explanation:

Here, in the given statement, maximum flow capacity of the ALOHA channel = 18.4% = 0.184

Then, the stations N share 56 kbps

And, the channel rate = $0.184*56$ $= 10.304 kbps.$  

Then, the outputs of the wach stations is $1000-bit frames/100 sec$

$\therefore$, the output of the bits/ sec by each stations = $\frac{1000}{100} bits/sec = 10 bits/sec$

So, The output of the N stations is 10 bits/sec on the channel that having $10.304kb/sec$

Finally, N = $\frac{(10.304 \times 10^{3})}{10} = 1030 stations$