On average, 40 cars per hour are tempted to use the drive-through window at the Hot Dog King Restaurant. (We assume that interarrival times are exponentially distributed.) If a total of more than fourcars are in line (including the car at the window), a car will not enter the line. It takes an average of four minutes (exponentially distributed) to serve a car.a. What is the average number of cars waiting for the drive-through window (not including the car at the window)?b. On average, how many cars will be served per hour?c. You have just joined the line at the drive-through window. On average, how long will it be before you receive your food?

On average, 40 cars per hour are tempted to use the drive-through window at the Hot Dog King Restaurant. (We assume that interarrival times are exponentially distributed.) If a total of more than fourcars are in line (including the car at the window), a car will not enter the line. It takes an average of four minutes (exponentially distributed) to serve a car.a. What is the average number of cars waiting for the drive-through window (not including the car at the window)?b. On average, how many cars will be served per hour?c. You have just joined the line at the drive-through window. On average, how long will it be before you receive your 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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