Assume for simplicity that each transmitted packet in a slotted Aloha system is successful with… 1 answer below »

Assume for simplicity that each transmitted packet in a slotted Aloha system is successful with some fixed probability p. New packets are assumed to arrive at the beginning of a slot and are transmitted immediately. If a packet is unsuccessful, it is retransmitted with probability qr in each successive slot until successfully received.

(a) Find the expected delay T from the arrival of a packet until the completion of its successful transmission. Hint: Given that a packet has not been transmitted successfully before, what is the probability that it is both transmitted and successful in the i th slot (i > 1) after arrival?

 

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