A pure ALOHA Network transmits 200 bit frames using a shared channel with 200…
2016
A pure ALOHA Network transmits 200 bit frames using a shared channel with 200 Kbps bandwidth. If the system (all stations put together) produces 500 frames per second, then the throughput of the system is ______.
- A.
0.384
- B.
0.184
- C.
0.286
- D.
0.586
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Correct answer: B
Solution: Step-by-step calculation for pure ALOHA throughput.
Compute frame transmission time: 200 bits ÷ 200000 bits/s = 0.001 s (1 ms).
Compute offered load G: G = arrival rate × frame time = 500 frames/s × 0.001 s = 0.5.
Apply pure ALOHA throughput formula: S = G · e^{-2G} = 0.5 · e^{-1} ≈ 0.5 · 0.367879 ≈ 0.18394 ≈ 0.184.
Therefore the throughput of the system is approximately 0.184 (fraction of channel capacity).