Consider two nodes, A and B, that use the slotted ALOHAprotocol to contend for a

Question

Consider two nodes, A and B, that use the slotted ALOHAprotocol to contend for a channel. Suppose node a has more data totransmit than node B, and node A's retransmission probabilitypA is greater than node B's retransmissionprobability, pB. a. Provide a formula for node A's average throughput. What isthe total efficiency of the protocol with these two nodes? b. If pA = 2pB, isnode A's average throughput twice as large as that of node B? Whyor why not? If not, how can you choose pA andpB to make that happen? c. In general, suppose there are N nodes, among whcih node Ahas retransmission probability 2p and all other nodes haveretransmission probability p. Provide expressions tocompute the average throughputs of node A and of any othernode. Consider two nodes, A and B, that use the slotted ALOHAprotocol to contend for a channel. Suppose node a has more data totransmit than node B, and node A's retransmission probabilitypA is greater than node B's retransmissionprobability, pB. a. Provide a formula for node A's average throughput. What isthe total efficiency of the protocol with these two nodes? b. If pA = 2pB, isnode A's average throughput twice as large as that of node B? Whyor why not? If not, how can you choose pA andpB to make that happen? c. In general, suppose there are N nodes, among whcih node Ahas retransmission probability 2p and all other nodes haveretransmission probability p. Provide expressions tocompute the average throughputs of node A and of any othernode.

Explanation / Answer

b.

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