The local Burger Doodle fast-food restaurant has a drive-through window. Customers in cars arriveat the window at the rate of 10 per hour (Poisson distributed). It requires an average of4 minutes (exponentially distributed) to take and fill an order. The restaurant chain has a servicegoal of an average waiting time of 3 minutes. During the 2-hour lunch period, the arrival rate of drive-in customers increases to 20 per hour. Will the two-window system be able to achieve the restaurant’s service goal during this rush period?

The local Burger Doodle fast-food restaurant has a drive-through window. Customers in cars arriveat the window at the rate of 10 per hour (Poisson distributed). It requires an average of4 minutes (exponentially distributed) to take and fill an order. The restaurant chain has a servicegoal of an average waiting time of 3 minutes. During the 2-hour lunch period, the arrival rate of drive-in customers increases to 20 per hour. Will the two-window system be able to achieve the restaurant’s service goal during this rush period?

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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The local Burger Doodle fast-food restaurant has a drive-through window. Customers in cars arriveat the window at the rate of 10 per hour (Poisson distributed). It requires an average of4 minutes (exponentially distributed) to take and fill an order. The restaurant chain has a servicegoal of an average waiting time of 3 minutes. If the restaurant is not meeting its service goal, it can add a second drive-through window that will reduce the service time per customer to 2.5 minutes. Will the additional window enable the restaurant to meet its service goal?
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