Question: Imagine you have a queueing system with three servers, each of which has its own queue. Interarrival times are Exponentially distributed with rate p =

Imagine you have a queueing system with three

Imagine you have a queueing system with three servers, each of which has its own queue. Interarrival times are Exponentially distributed with rate p = 1/2000, and service times are Exponentially distributed with rate m = 1/1000. When a job arrives to the system, we send it to one of the three servers, each with equal probability. (a) What is the mean response time in this system? (b) Now suppose that when a job arrives to the system, instead of randomly selecting where to send it we use the Size Interval Task Assignment" (SITA) policy, which does the following. Small" jobs, defined to be jobs with size S 1500, are sent to server 3. What is the expected size of a job that has been sent to server 2? (Set up an expression) Imagine you have a queueing system with three servers, each of which has its own queue. Interarrival times are Exponentially distributed with rate p = 1/2000, and service times are Exponentially distributed with rate m = 1/1000. When a job arrives to the system, we send it to one of the three servers, each with equal probability. (a) What is the mean response time in this system? (b) Now suppose that when a job arrives to the system, instead of randomly selecting where to send it we use the Size Interval Task Assignment" (SITA) policy, which does the following. Small" jobs, defined to be jobs with size S 1500, are sent to server 3. What is the expected size of a job that has been sent to server 2? (Set up an expression)

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