Consider two nodes, A and B, that use the slotted ALOHA protocol to contend for
ID: 3724413 • Letter: C
Question
Consider two nodes, A and B, that use the slotted ALOHA protocol to contend for a channel. Suppose each node has an infinite number of packets to send. Node A attempts to transmit a packet in each time slot with probability PA, while node B attempts to transmit a packet in each time slot with probability P the first slot is numbered slot 1, the second slot is numbered slot 2, and so on. A what is the probability that node A succeeds for the first time in slot 3? B what is the throughput of node A? C what is the throughput of this two-node system?Explanation / Answer
A) So it had failed in the last two encounters
Probability = (It tried to transmit but failed + It didnt transmit) in each case = (PA PB/2 + (1-PA))^2 + PA
B) Throught Put of Node A = Porbability that B is transmitted + Not transmitted =(PA PB/2 + (1-PB))
C) ThroughPut = 1 - (1-PA)(1-PB) = None of them is transmitted
These are the values for the given question. If you have any doubts over this ask it in comments I will answer it.