1. A librarian at a college library, on an
average, could process 18 students during one hour. On an average, a student
arrives to her at every 4 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.
(c)
Determine the probability that 2 students are in the queuing system.
(d) Determine the average number of students in
the queue and the average number of students in the system.
(e)
Determine the average waiting time in the queue and the average total time in
the system for a student.
(f) Find the utilization factor of the librarian.
In Question 1, suppose the librarian can be
replaced by a specialist, who must be paid $32 per hour whereas the current librarian
is paid $22 per hour. The specialist can process 22 students in one hour. If a student’s
time is considered to be worth $10 per hour, is it worth to replace the current
librarian with the specialist?
Why Choose Us
- 100% non-plagiarized Papers
- 24/7 /365 Service Available
- Affordable Prices
- Any Paper, Urgency, and Subject
- Will complete your papers in 6 hours
- On-time Delivery
- Money-back and Privacy guarantees
- Unlimited Amendments upon request
- Satisfaction guarantee
How it Works
- Click on the “Place Order” tab at the top menu or “Order Now” icon at the bottom and a new page will appear with an order form to be filled.
- Fill in your paper’s requirements in the "PAPER DETAILS" section.
- Fill in your paper’s academic level, deadline, and the required number of pages from the drop-down menus.
- Click “CREATE ACCOUNT & SIGN IN” to enter your registration details and get an account with us for record-keeping and then, click on “PROCEED TO CHECKOUT” at the bottom of the page.
- From there, the payment sections will show, follow the guided payment process and your order will be available for our writing team to work on it.