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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: 9

 

Question

Consider the discussion in Section 1.3 of packet switching versus circuit switching in which an example is provided with a 1 Mbps link. Users are generating data at a rate of 100 kbps when busy, but are busy generating data only with probability p = 0.1. Suppose that the 1 Mbps link is replaced by a 1 Gbps link.

a. What is N, the maximum number of users that can be supported simultaneously under circuit switching?

b. Now consider packet switching and a user population of M users. Give a formula (in terms of p, M, N) for the probability that more than N users are sending data.

Answer

a)

Number of users (N)=

So, the maximum number of users that can be supported simultaneously under circuit switching=1000 users

b)

Consider packet switching and a user population of users.

Formula (in terms of pM,N) for the probability that more than users are sending data=

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