This problem will compare circuit switching and packet switching. Consider a single link with capacity 60 Mbps. Each user is active 20% of the time. When active, each user transmits at 1 Mbps half of the time and at 3 Mbps half of the time. (a) Suppose the network uses circuit switching. How many users can be supported if you want to guarantee that the blocking probability is zero? In parts (b)-(d), suppose the network uses packet switching and that there are 200 users. (b) Suppose that 20 users are simultaneously active. What is the traffic intensity (i.e., load)? (c) Write an expression for the probability that at least 30 users are simultaneously active. (d) If 30 users are simultaneously active, write an expression for the probability that the total instantaneous transmission rate of these 30 users exceeds the link capacity.
This problem will compare circuit switching and packet switching. Consider a single link with capacity 60 Mbps. Each user is active 20% of the time. When active, each user transmits at 1 Mbps half of the time and at 3 Mbps half of the time.
(a) Suppose the network uses circuit switching. How many users can be supported if you want to guarantee that the blocking probability is zero?
In parts (b)-(d), suppose the network uses packet switching and that there are 200 users.
(b) Suppose that 20 users are simultaneously active. What is the traffic intensity (i.e., load)?
(c) Write an expression for the probability that at least 30 users are simultaneously active.
(d) If 30 users are simultaneously active, write an expression for the probability that the total instantaneous transmission rate of these 30 users exceeds the link capacity.
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