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The Wait Time at a Fast Food Restaurant

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Harry's Hamburger is a restaurant where customers form a single line for 1 cashier. The average numbers of arrivals is 1 per minute and the Poison distribution accurately defines this rate. The average time to serve a customer is 30 seconds, and the exponential distribution may be used to describe the distribution of the service times.

A) What are the ^ and u in this situation?
B) Using Kendall notation, what type of queuing system is this?
C) What percentage of time is the cashier busy?
D) What percentage of the time is cashier idle?
E) What is the average length of the line?
F) How many minutes does the average customer spend waiting in line?
G) How many minutes typically elapse from the time the person enters the line until the person gets the food and leaves the system?

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Solution Summary

The queues and serving times of a fast food restaurant are analyzed.

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