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100 stations on a pure ALOHA network share a 1Mbps channel. If frames are 1000 bits long, find throughput if each station is sending 10 frames per second.
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is it pure aloha or slotted aloha???
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Pure aloha ( mentioned in question)
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0.182 Mbps?

Throughput of pure aloha ,S=G × $e^{-2G}$. Where G is the average no. Of frames generated by system during one frame transmission time.

Transmission time =$\frac{frame size} {bandwidth}$=$\frac{1000 bits}{1Mbps}$=1 ms.

If a station create 10 frames per second  means 100 stations(system) will create $1$ frame  per millisecond ,so G= $1$

$S = G×e^{-2G} = 0.135$

$0.135 \times 1Mbps = 135 Kbps$
edited
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i got  0.000013534
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Magma is it correct now?

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Mk Utkarsh   yeah completely

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@Mk Utkarsh am not understanding that S is already given as throughput then why are you multiplying with bandwidth??total 1000 frames are there in which 135 frames will reach at destination.
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Prateek  $0.135$ is the throughput which is also $13.5\text{%}$, also effective bandwidth will be directly affected because of throughput so i multiplied, however answer is $0.135$

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Effective bandwidth or throughput or bandwidth utilization= efficiency × bandwidth.but here  throughput is already calculated,so no need of multiplying.

+1 vote
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