In a slotted ALOHA with G-stations attempting to transmit in one slot, the…
2024
In a slotted ALOHA with G-stations attempting to transmit in one slot, the throughput is equal to –
- A.
G x e⁻ᴳG × e⁻ᴳ
- B.
G × e⁻²ᴳ
- C.
G × eᴳ
- D.
2G × e⁻ᴳ
- E.
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Correct answer: A
In Slotted ALOHA, time is divided into slots and transmissions can start only at the beginning of a slot. Let G be the average number of transmission attempts per slot.
Throughput is the probability that exactly one station transmits in a slot. Using the Poisson distribution:
P(1) = (G^1 × e⁻ᴳ) / 1! = G × e⁻ᴳ
Therefore, the throughput is S = G × e⁻ᴳ. Hence, Option A is correct.