Consider 2 nodes, A and B, that use the slotted ALOHA protocol to contend for a

Question

Consider 2 nodes, A and B, that use the slotted ALOHA protocol to contend for a channel. Suppose node A has more data to transmit than node B, and node A's retransmission probability Pa is greater than node B's retransmission probability, Pb.
1. provide a formula for node A's average throughput.( what is the total efficiency of the protocol with these 2 nodes?
2. If Pa=2Pb, is node A's average throughput twice as large as that of node B? if not how can you choose Pa and Pb to make that happen?
3. in general, suppose there are N nodes, among which node A has retransmission probability 2p and all other nodes have retransmission probability P. Provide expressions to compute the average through puts of node A and of any other node.

Explanation / Answer

1.Given that A and B are the two nodes.Node A has more data to transmit than nodeB.    Retransmission of node A

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