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In the diagram below we show 3 nodes transmitting packets using slotted Aloha. A. What is the measured utilization of the channel over 10 slots

In the diagram below we show 3 nodes transmitting packets using slotted Aloha.

A. What is the measured utilization of the channel over 10 slots (from slot 0 to slot 9)?

B. What is the optimal probability of transmission if there are 3 nodes (N=3) having data to transmit all the time?

C. What is the long-term average normalized throughput S (N, p*) of the slotted Aloha system with N=3 nodes and the optimal transmission probability as discussed in B.? How much does the long term average throughput differ from the measured throughput in the figure below?

image text in transcribed

Node 3 Node 2 Node 1 7 slot slots 7 7 slot 1 7 slot 8 7 slot 7 slot 2 7 slot 3 7 slot time 9 slot 7 slot

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