A data channel at 5 Gbps is shared by two users. Assume that each user is transmitting at 2.5Gbps data rate continuously. Each user only transmits only 30% of the time.  (a) If circuit switching is used, how many users can be supported?  (b) If packet switching is used, would there be queuing delay to accommodate these two users? If a third identical user is added will there be a queuing delay?  (c) What is the probability that a user is sending data?  (d) Now assume three users under packet switching. Compute the probability that at any given time all three are transmitting at the same time. What is the fraction of time when the queue is growing?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A data channel at 5 Gbps is shared by two users. Assume that each user is transmitting at 2.5Gbps data rate continuously. Each user only transmits only 30% of the time. 

(a) If circuit switching is used, how many users can be supported? 

(b) If packet switching is used, would there be queuing delay to accommodate these two users? If a third identical user is added will there be a queuing delay? 

(c) What is the probability that a user is sending data? 

(d) Now assume three users under packet switching. Compute the probability that at any given time all three are transmitting at the same time. What is the fraction of time when the queue is growing?

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