Assume a drive-up window at a fast food restaurant. The exact interarrival time and service time distributions are not known, but the average and std deviation has been measured. Customers arrive at the rate of 25 per hour. The standard deviation of the interarrival time is 10 minutes. The restaurant has installed automation and the service time is an average of 2 minutes with a standard deviation of .5 minutes.
A) Fill in the table.
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Lambda
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Average interarrival time
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Mu
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Average service time
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Utilization
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S
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Ca
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Cs
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B) What is the average utilization of the employee?
C) What is the average number of customers in line?
D) What is the average number of customers in the system?
E) What is the average waiting time in line?
F) What is the average waiting time in the system?