Students arrive at a rate of about three per minute according to a Poisson distribution. The single cashier takes about 15 seconds per customer, following an exponential distribution. a) What is the probability that the system is empty? b) How long will the average student have to wait before reaching the cashier? c) What is the expected number of students in the queue? d) What is the average number in the system?

from the companion website ://..com/___11/236/60528/15495221.cw/index.Go to practice problems of Module D. (We did problems 1 and 2 in class). Go to Problem 3 and consider that  = 0.0767 for 2 servers and a ratio lambda/mu of 0.66. Compute the values of Ls,  and  based on this number and the formulas on slides 35-36 from the material. Build a table to compare the 2 models, taking slide 39 as a template. Compute the cost of the system when there are 2 servers; which option would you choose between 1 server and 2 servers?The cafeteria line in the university student center is a self-serve facility in which students select the items they want and then form a single line to pay the cashier. Students arrive at a rate of about three per minute according to a Poisson distribution. The single cashier takes about 15 seconds per customer, following an exponential distribution. a) What is the probability that the system is empty? b) How long will the average student have to wait before reaching the cashier? c) What is the expected number of students in the queue? d) What is the average number in the system? e) If a second cashier is added and works at the same pace, how will the operating characteristics computed in parts (a), (b), (c), and (d) change? Assume customers wait in a single line and go to the first available cashier. (use the table from slide 40 to start)

Place a similar order with us or any form of academic custom essays related subject and it will be delivered within its deadline. All assignments are written from scratch based on the instructions which you will provide to ensure it is original and not plagiarized. Kindly use the calculator below to get your order cost; Do not hesitate to contact our support staff if you need any clarifications.

Type of paper Academic level Subject area
Number of pages Paper urgency Cost per page:
 Total:

Whatever level of paper you need – college, university, research paper, term paper or just a high school paper, you can safely place an order.

Page Navigation