Consider the discussion in Section 1.3 of packet switching versus circuit switching in which

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P9. 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=0.1p=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.
Transcribed Image Text:P9. 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=0.1p=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.
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