There are only three active stations in a slotted aloha network: a, b, and c. Each station generates a frame in a time slot with the corresponding probabilities pa = 0.2, pb = 0.3, and pc = 0.4 respectively. a. What is the throughput of each station? b. What is the throughput of the network?
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"Answer:
a. The throughput of each and every station is the possibility that the wanted station has a structure to address and different stations have no such frame to send.
b. The wanted throughput of the desired network is the sum of the three stations which is available in slotted Aloha network at a given time slot."
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Answer:
a. Through-put of each is 0.084,0.144,0,224 of station A,B,C respectively.
Explanation:
Psa = Pa X ( 1 - Pb ) X ( 1 - Pc ) = 0.2 X ( 1 - 0.3 ) X ( 1 - 0.4 ) = 0.084
Psb = Pb X ( 1 - Pa ) X ( 1 - Pc ) = 0.3 X ( 1 - 0.2 ) X ( 1 - 0.4 ) = 0.144
Psc = Pc X ( 1 - Pa ) X ( 1 - Pb ) = 0.4 X ( 1 - 0.2 ) X ( 1 - 0.3 ) = 0.224
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