Consider the computer system of problem compute the, Engineering Mathematics

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Consider the computer system of problem compute the

Question: Consider the computer system of Problem.

a. Compute the variance of the flow times assuming FCFS, LCFS, and random selection disciplines.

b. Using a normal approximation of the flow time distribution for the LCFS and random cases, estimate the probability that the flow time in the system exceeds 10 minutes in each case.

Problem: 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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