Suppose users share a 2 Mbps link. Also suppose each user transmits continuously

Question

Suppose users share a 2 Mbps link. Also suppose each user transmits continuously at 1 Mbps when transmitting, but each user transmits only 20 percent of the time. When a circuit switching is used, how many users can be supported? For the remainder of this problem suppose packet switching is used. Why will there be essentially no queuing delay before the link if two or fewer users transmit at the same time? Why will there be a queuing delay if three users transmit at the same time? Find the probability that a given user is transmitting. Suppose now there are three users. Find the probability that at any given time, all three users are transmitting simultaneously. Find the fraction of time during which the queue grows.

Explanation / Answer

2.

a)Link size / transmitting size = 2Mbps / 1Mbps = 2 users can be supported.

b)Since each user requires 1Mbps when transmitting, if two or fewer users

transmit simultaneously, a maximum of 2Mbps will be required. This does not exceed

the 2Mbps of available bandwidth in the shared link. If there is 3 users then the

3Mbps needed exceeds the 2 Mbps available. So there will be a queueing delay.

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