Determine the average number of students in the queue and

Reference no: EM13624644

A librarian at a college library, on an average, could process 14.5 students during one hour. On an average, a student arrives to her at every 5 minutes. Assume it is a single-server waiting line model.

(a) Determine the mean arrival rate and the mean service rate.

(b) Determine the probability that a student will have an empty queue.

(d) Determine the average waiting time in the queue and the average total time in the system for a student.

(e) Find the utilization factor of the librarian.

(f) Determine the probability that 3 students are in the queuing system. 6.

In Question 5, suppose the librarian can be replaced by a specialist, who must be paid $25 per hour whereas the current librarian is paid $18 per hour. The specialist can process 17 students in one hour. If a students time is considered to be worth $8.50 per hour, is it worth to replace the current librarian with the specialist?

Reference no: EM13624644

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