Question: Question 1 Requests arrive at a Domain Name Server at a rate of 3,600 requests per hour. The average response time is one half of

Question 1

Requests arrive at a Domain Name Server at a rate of 3,600 requests per hour. The average response time is one half of a second. Requests are queued upon arrival and the buffer is long enough that no requests are lost (effectively, an infinite buffer).

Assume Poisson arrivals and exponentially distributed service times. Using Kendalls notation used in the lectures, what is the appropriate queuing model to be used in the analysis of this system?

Question 2

(1) For the queuing system in Question 1, load (?) =

(2) Is the system stable? (yes/no) . Why?

Question 3

For the queuing system in Question 1, What is the average number of requests in the system? (i.e., the total, including in the queue and in service)?

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