View the step-by-step solution to:


Question 3 (20%)


A bank installs an ATM and observes that the customers arrive at

a rate of 15 per hour and the arrivals follow a Poisson distribution. The ATM has a fixed non-random service time of 3 minutes per customer. (Hint: this is a M/D/1 process, and.)


(a) Calculate the average time spent by a customer in this system. (10 points)




















(b) What is the percentage of time that the ATM is idle? (5 points)















(c) Over time, the ATM machine becomes slower. If the ATM machine slows down and requires 5 minutes per customer, what happens to the utilization? (5 points)

Top Answer

The step by step... View the full answer


Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question