The Swanky Hotel provides room service for its guests. The process for room service begins with a room service manager who takes orders by phone at an average of 5 minutes per order. The manager then sends the order to the kitchen, where it takes an average of 16 minutes to prepare the food for each order. There are four chefs in the kitchen. If the customer requires a beverage (alcoholic or nonalcoholic), the room service manager sends the order to the bar at the same time the order is sent to the kitchen. It takes 3 minutes to fill the order by one bartender, and 80 percent of the orders require a beverage. When the kitchen and bar orders are both ready, a waiter will take them to the room and bill the guest. There are six waiters to provide the service, and each order takes 20 minutes for the waiter to complete. Assume that on Friday evenings an average of 10 room-service orders per hour are placed. How many orders are in the system on average on Friday nights?

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
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The Swanky Hotel provides room service for its guests. The process for room service begins with a room service manager who takes orders by phone at an average of 5 minutes per order. The manager then sends the order to the kitchen, where it takes an average of 16 minutes to prepare the food for each order. There are four chefs in the kitchen. If the customer requires a beverage (alcoholic or nonalcoholic), the room service manager sends the order to the bar at the same time the order is sent to the kitchen. It takes 3 minutes to fill the order by one bartender, and 80 percent of the orders require a beverage. When the kitchen and bar orders are both ready, a waiter will take them to the room and bill the guest. There are six waiters to provide the service, and each order takes 20 minutes for the waiter to complete.

  1. Assume that on Friday evenings an average of 10 room-service orders per hour are placed. How many orders are in the system on average on Friday nights?

 

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ISBN:
9781337406659
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