A computer system queues up batch jobs and processes them on an FCFS basis. Between 2 and

Question:

A computer system queues up batch jobs and processes them on an FCFS basis.

Between 2 and 5 P.M., jobs arrive at an average rate of 30 per hour and require an average of 1.2 minutes of computer time. Assume the arrival process is Poisson and the processing times are exponentially distributed.

a. What is the expected number of jobs in the system and in the queue in the steady state?

b. What are the expected flow time and the time in the queue in the steady state?

c. What is the probability that the system is empty?

d. What is the probability that the queue is empty?

e. What is the probability that the flow time of a job exceeds 10 minutes?

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Muhammad Salman Alvi

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