Suppose that each link between the server and the client has a packet loss proba

Question

Suppose that each link between the server and the client has a packet loss probability p, and the packet loss probabilities for these links are independent. Also assume that a packet should traverse N hops to reach the destination. What is the probability that a packet (sent by the server) is successfully received by the receiver? If a packet is lost in the path from the server to the client, then the server will re-transmit the packet. On average, how many times will the server re-transmit the packet in order for the client to successfully receive the packet?

Explanation / Answer

server—R1–0–R2–0——-0–RN–client where 0=links

each link between the server and the client has a packet loss probability=p.

probability of the packet is successfully received by the receiver(p1) = (1-p)^n

so, the server will transmit the packet in order for the client to successfully receive the packet on average = 1/(p1)

the server will re transmit the packet in order for the client to succefully receive the packet on average = (1/(p1))-1

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