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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Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 45 seconds to produce a batch of burritos. 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 forthe line at the drive-up window, Burrito King would like to know the expected average
Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 45 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 55 seconds. To help determine the amount of space needed for the line at the drive-up window, 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.) 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.) c. What is the expected average time in the system, in minutes? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Jolt - Exp The soda machine outside the lecture hall sees a steady stream of customers throughout the day. While the machine takes 4 seconds to deliver a can of carbonated sugar water once the button is pressed, the student customers introduce variation into the delivery process by pondering their selection for a while_ Thus, we can safely say that the service time is governed by a negative exponential probability distribution that averages 10 seconds. Over the course of a twelve hour lecture day, students arrive at the rate of 240 per hour, Poisson distributed of course. Nathan is cutting it close today. At 10:00:00 AM, the professor will close the door to the classroom and ignore any requests to enter the room once his scintillating lecture has begun. What is the probability that he finds only one person at the machine buying a soda?
Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-food establishments. The Burro-Master 9000 requires a constant 50 seconds to produce a batch of burritos. It has been estimated that customers will arrive at the drive-up window according to a Poisson distribution at an average of one every 55 seconds. To help determine the amount of space needed for the line at the drive-up window, answer the following questions. a. What is the average waiting line length (in cars)? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Average line length cars b. What is the average number of cars in the system (both in line and at the window)? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Average number of cars cars
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Granos, Inc. purchased new automated coffee vending machines, the Preso 2000. This Preso 2000 requires a constant 45 seconds to produce a coffee. It has been estimated that customers will arrive at the vending machine according to a Poisson distribution at an average of one every 50 seconds. To help determine the amount of space needed for the line in front of the vending machine, Granos, Inc. would like to know the expected average time in the system, the average line length (in costumers), and the average number of costumers in the system (both in line and at the vending machine).
no handwritten solution Question The management of a busy petrol station is concerned that customers are being lost because of long waiting times sometimes required at their petrol pump. Over a two weeks period a careful study has been taken of the arrival of cars and the length of time taken to serve customers at the petrol station. The tables below show the arrival rates and the service time distribution: Inter arrival time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <2 1 60 60 00 - 59 2 - <4 3 25 85 60 - 84 4 - <6 5 10 95 85 - 94 6 - <8 7 5 100 95 - 99 Service time (minutes) Inter arrival time Midpoint Percentage of customers Cumulative frequency Random number 0 - <4 2 20 20 00 – 19 4 - <6 5 30 50 20 – 49 6 - <8 7 20 70 50 - 69 8 - <10 9 15 85 70 – 84…
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When is a Queuing system considered to be in a temporary state?