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Let cluster of stations share 48kbps of pure aloha channel. Every station outputs frame of length 1024 bit in every 50 seconds. Then what is the maximum value of number of stations?

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thanks, MiNiPanda sir.

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@Utkarsh Joshi student hun :P

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oh okay! :)
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Thanks mate! :)

+1 vote
Since its pure aloha. So max Bandwidth utilization is 18% of 48Kbps.
And its given, Each station transmits

1024 bits in 50 seconds

$\therefore$ In 1 second --- $\frac{1024}{50}$ bits
Let's say there are N stations.

So N*$\frac{1024}{50}$=18% of 48*1000

N=$\left \lfloor 421.875 \right \rfloor$

$\therefore$ N=421
by
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for pure aloha efficiency = 18.4%

means 0.184 x 48 Kbps=8.832 kbps

1024/50 = 20.48

20.48 x N = 8.832 x 10$^{3}$

N= 431.25

so , No of Stations, N=431

That .4 in efficiency makes a lot of difference

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Yes.. great