Computer Network Aloha

Question

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.

Comments

is it pure aloha or slotted aloha???

---

Pure aloha ( mentioned in question)

---

relevant stuff

https://gateoverflow.in/37893/calculating-throughput-for-slotted-aloha

https://gateoverflow.in/5713/cluster-stations-station-average-seconds-maximum-stations

---

0.182 Mbps?

Answer 1

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= $1$

$S = G×e^{-2G} = 0.135$

$0.135 \times 1Mbps =  135 Kbps$

Comments

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 $0.135$

---

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

---

Throughput is given by, Efficiency * bandwidth

where Efficiency,S = G * e ^-2G