The Sushi Palace (a new sushi franchise opening up nationwide) has successfully automated sushi production for its drive-up fast-food establishments. The Sushi Slicer 2000 requires a constant 45 seconds to produce a sushi combo boat. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the drive-up window line at Sushi Palace, answer the following questions. a. What is the average waiting line length (in cars)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average line length b. What is the average number of cars in the system (both in line and at the window)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average number of cars 0.067 cars Expected average time 0.134 cars c. What is the expected average time in the system, in minutes? (Do not round intermediate calculations. Round your answer to 2 decimal places.) 6.53 minutes
The Sushi Palace (a new sushi franchise opening up nationwide) has successfully automated sushi production for its drive-up fast-food establishments. The Sushi Slicer 2000 requires a constant 45 seconds to produce a sushi combo boat. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the drive-up window line at Sushi Palace, answer the following questions. a. What is the average waiting line length (in cars)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average line length b. What is the average number of cars in the system (both in line and at the window)? (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average number of cars 0.067 cars Expected average time 0.134 cars c. What is the expected average time in the system, in minutes? (Do not round intermediate calculations. Round your answer to 2 decimal places.) 6.53 minutes
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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![Problem 4
The Sushi Palace (a new sushi franchise opening up nationwide) has successfully automated sushi production for its drive-up fast-food
establishments. The Sushi Slicer 2000 requires a constant 45 seconds to produce a sushi combo boat. It has been estimated that
customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help
determine the amount of space needed for the drive-up window line at Sushi Palace, answer the following questions.
a. What is the average waiting line length (in cars)? (Do not round intermediate calculations. Round your answer to 2 decimal
places.)
Average line length
b. What is the average number of cars in the system (both in line and at the window)? (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
Average number of cars
0.067 cars
Expected average time
0.134 cars
c. What is the expected average time in the system, in minutes? (Do not round intermediate calculations. Round your answer to 2
decimal places.)
6.53 minutes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f9ac8f4-8646-4ec2-ad20-e249d5ec4900%2F1307f72e-d1d8-477a-978f-a9f151ccf4b8%2Fdc2uz3l_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 4
The Sushi Palace (a new sushi franchise opening up nationwide) has successfully automated sushi production for its drive-up fast-food
establishments. The Sushi Slicer 2000 requires a constant 45 seconds to produce a sushi combo boat. It has been estimated that
customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 50 seconds. To help
determine the amount of space needed for the drive-up window line at Sushi Palace, answer the following questions.
a. What is the average waiting line length (in cars)? (Do not round intermediate calculations. Round your answer to 2 decimal
places.)
Average line length
b. What is the average number of cars in the system (both in line and at the window)? (Do not round intermediate calculations. Round
your answer to 2 decimal places.)
Average number of cars
0.067 cars
Expected average time
0.134 cars
c. What is the expected average time in the system, in minutes? (Do not round intermediate calculations. Round your answer to 2
decimal places.)
6.53 minutes
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