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Quantitative Module D: Waiting-Line Models
Problem:
You have been retained to analyze how many customer servicestations should be used at a fast-food restaurant. Therestaurant utilizes a single line and you can have up to 4 servicestations. At each service station the customer orders, paysand receives his/her food. Both the poisson distribution forarrivals and exponential distribution for service apply and a FIFOdiscipline is used. It is estimated that an average of 8.4customers arrive per hour, and it takes about 10 minutes on averageto service a customer (i.e. take the order, receive payment, anddeliver food).
Determine the following:
a. The average utilization rate (p).
b. The average queue length based on the number ofstations.
c. The average waiting time based on the number ofstations.
Utilize Table D.5 on page 765 to determine L(q).
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