7. Suppose users share a 1-Gbps link. Also, suppose each user requires 200 Mbps

Question

7. Suppose users share a 1-Gbps link. Also, suppose each user requires 200 Mbps when transmitting, but each user only transmits 40 percent of the time. 7.a. (5 pts.) When circuit switching is used, how many users can be supported? 7.b. (5 pts.) For the remainder of this problem, suppose packet switching is used. What is the maximum number of users that can be supported if the required blocking probability is strictly less than 0.05 and what is the blocking probability with the determined maximum number of users?

Explanation / Answer

Suppose users share a 1Gbps link. Also suppose each user requires 200 Mbps when transmitting, but each user transmits only 40 percent of the time.

a.When circuit switching is used, how many users can be supported?

1Gbps= 1000Mbps

There are 1Gbps/200Mbps = 1000/200 = 5 users can be supported.

b.For the remainder of this problem, suppose packet switching is used. What is the maximum number of users that can be supported if the required blocking probability is strictly less than 0.05?

In the article each user transmits only 40 percent of time. So, suppose the probability that a given user is transmitting is p.

Therefore, p=0.40

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