An average of 40 cars per hour (interarrival times areexponentially distributed) are tempted to use the drive-inwindow at the Hot Dog King Restaurant. If a total of morethan 4 cars are in line (including the car at the window) acar will not enter the line. It takes an average of 4 minutes(exponentially distributed) to serve a car.a What is the average number of cars waiting for thedrive-in window (not including a car at the window)?b On the average, how many cars will be served perhour?c I have just joined the line at the drive-in window. Onthe average, how long will it be before I have receivedmy food?

An average of 40 cars per hour (interarrival times areexponentially distributed) are tempted to use the drive-inwindow at the Hot Dog King Restaurant. If a total of morethan 4 cars are in line (including the car at the window) acar will not enter the line. It takes an average of 4 minutes(exponentially distributed) to serve a car.a What is the average number of cars waiting for thedrive-in window (not including a car at the window)?b On the average, how many cars will be served perhour?c I have just joined the line at the drive-in window. Onthe average, how long will it be before I have receivedmy food?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 9P

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An average of 40 cars per hour (interarrival times are exponentially distributed) are tempted to use the drive in window at the Hot DogKing Restaurant.If a total of more than 4 cars are in line (including the car at the window) a car will notenter the line. Ittakes an average of 4 minutes(exponential distributed) to serve a car. (a) what is the average number of cars waiting for the drive-in window(not including a car at the window) (b) On the average, how many cars will be served per hour? (c) I have just joined the lineat the drive-in window. On the average, how long will it be before I recieve the food?
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