QUEUING THEORY

Solve the ff. using the given store data (show solutions please)

Store data:

Total number of customers per day: 100

Store open hours: 10am-10pm

Arrival rate: 8.333333333 customer per hour

1) Calculate for service rate (c)

The service rate depends on the cooking time and the quantity sold per day. We need to convert the cooking time to service rate:

Chicken:

5 mins cooking time (reheating, slicing, etc.)

52 orders monthly average

a) Assuming it takes 5 minutes to cook/reheat a chicken, what is the service rate? (provide answers per hour and per month)

b) How many chicken sold per hour?

Liempo:

5 mins cooking time (reheating, slicing, etc.)

62 orders monthly average

a) assuming it takes 5 minutes to cook/reheat a liempo, what is the service rate? (provide answers per hour and per month)

b) How many liempo per hour?

2) Calculate for Utilization Factor

= / c

Chicken:

p= 8.33/?

= ?

Liempo:

p= 8.33/?

=?

c) Calculate the average waiting time and the average number of customers in the queue