Queue Management Homework

(Remember to show all work)

Question 1

	Having observed the long wait times at the Bakery Shop, Christie (the manager of the Eataly NYC) sends Nick, the server at the Bakery Shop, for training. Christie also observes that the bakery shop is a M/M/1 system. Upon returning from the training, Nick is now able to serve 16 customers per hour. The average arrival rate at the Eataly Bakery is still 8 customers per hour. What is the new utilization (use 2 decimal places)? Please show your work.

part 2

What is the average no. of customers waiting in line (use 2 decimal places)? Please show your work.

part 3

	What is the average waiting time in the line (in hours, use 4 decimal places)? Please show your work.

Part 4

	What is the average number of customers at the Eataly Bakery? Please show your work.

part 5

	What is the average time a customer spends at the Eataly Bakery (use 3 decimal places)? Please show your work.

Part 6

	What is the probability of having zero customers at the Eataly Bakery (use 2 decimal places)? Please show your work.

Part 7

	What is the probability of having three or more customers at the Eataly Bakery (use 3 decimal places)? Please show your work.