McBurger’s fast-food restaurant has a drive-through window with a single server who takes orders from an intercom and also is the cashier. The window operator is assisted by other employees who prepare the orders. Customers arrive at the ordering station prior to the drivethrough window every 4.5 minutes (Poisson distributed), and the service time is 2.8 minutes (exponentially distributed). Determine the average length of the waiting line and the waiting time. Discuss the quality of the service.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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McBurger’s fast-food restaurant has a drive-through window with a single server who takes
orders from an intercom and also is the cashier. The window operator is assisted by other
employees who prepare the orders. Customers arrive at the ordering station prior to the drivethrough
window every 4.5 minutes (Poisson distributed), and the service time is 2.8 minutes
(exponentially distributed). Determine the average length of the waiting line and the waiting
time. Discuss the quality of the service.

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