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?
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?
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 18P
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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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