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Computer Networking : A Top-Down Approach

Computer Networking : A Top-down Approach

Authors: James F. Kurose, Keith W. Ross Chapter: Computer Networks And The Internet
ISBN: 9780132856201 Exercise: Problems
Edition: 6 Question: 22

 

Question

Consider Figure 1.19(b). 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. 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?

Answer

Consider the given data:

Loss probability of packet between the server and the client =p

Probability that the packet is successfully received through the receiver p1.

The probability that the packet transmitted by the server is received by the client successfully is 1/p1

The probability of successful transmissions -1 if the packet re-transmitted by the server is received.

So, the probability that the packet re-transmitted by the server is received by the client is 1/p1-1.

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