c. What is the expected average time in the system, in minutes?Note: Do not round intermediate calculations. Round your answer to 2 decimal places.Expected average timeminutes Burrito King (a new fast-food franchise opening up nationwide) has successfully automated burrito production for its drive-up fast-foodestablishments. The Burro-Master 9000 requires a constant 50 seconds to produce a batch of burritos. It has been estimated thatcustomers will arrive at the drive-up window according to a Poisson distribution at an average of one every 55 seconds. To helpdetermine 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 lengthcarsb. 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 carscars

Service time = 50 secondsService rate per hour

Answered: Burrito King (a new fast-food franchise…

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 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.)
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
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).
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given the following: A typical TSA agent at Piedmont Triad International Airport takes approximately 1.15 minutes to screeneach passenger that arrives at the security gate. During the day, a passenger arrives at the gate onaverage every 1.3 minutes. Both the service rate and arrival rate follow a Poisson distribution. Based onthis information and the assumption that only one screening line is open at the security gate, answer thefollowing questions with the given information: a) average number of passengers waiting in line to be screened is 7 b) average amount of time (in minutes) passengers spend waiting in line is .147 minutes c) average amount of time (in minutes) passengers spend in the screening system?.166 minutes 1. What is percent of the time does the typical TSA agent spend actively screening passengers? 2. Throughout the day, passenger arrival rates vary with the greatest number of passengers arriving about 45 minutes before a flight is expected to depart. If during this…
Consider the baggage check-in process of a small airline. Check-in data indicate thatfrom 9 a.m. to 10 a.m., 240 passengers checked in. Moreover, based on counting thenumber of passengers waiting in line, airport management found that the average number of passengers waiting for check-in was 30. How long did the average passenger haveto wait in line?
erex Corporation is a global manufacturer of aerial work platforms and materials processing machinery. They design, build and support products such as large lifting equipment used in construction. The company makes most pieces to order and customizes them to meet customers’ unique preferences.Terex maintained a manual system for yard management at their transfer centre in Washington that is always full of lifting equipment, which generated excessive costs for what should have been a relatively simple process of locating customers’ units to prepare them for delivery. A wallboard and sticker system was a low-tech solution for identifying equipment items in the yard at Terex. While inexpensive in itself, the solution cost around six minutes every time an employee had to locate a unit in the yard. It also required a considerable number of hours to be spent each month taking physical inventories. After a successful pilot, the company approved a new solution, replacing stickers, yard maps,…
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Patients walk in to a doctor’s office every 63 minutes with a standard deviation of 32 minutes on the average. The average examination time is 37 minutes with 32 minutes standard deviation. A patient spends in doctor’s office ______ min on average?
Terex Corporation is a global manufacturer of aerial work platforms and materials processing machinery. They design, build and support products such as large lifting equipment used in construction. The company makes most pieces to order and customizes them to meet customers’ unique preferences.Terex maintained a manual system for yard management at their transfer centre in Washington that is always full of lifting equipment, which generated excessive costs for what should have been a relatively simple process of locating customers’ units to prepare them for delivery. A wallboard and sticker system was a low-tech solution for identifying equipment items in the yard at Terex. While inexpensive in itself, the solution cost around six minutes every time an employee had to locate a unit in the yard. It also required a considerable number of hours to be spent each month taking physical inventories. After a successful pilot, the company approved a new solution, replacing stickers, yard maps,…
Terex Corporation is a global manufacturer of aerial work platforms and materials processing machinery. They design, build and support products such as large lifting equipment used in construction. The company makes most pieces to order and customizes them to meet customers’ unique preferences.Terex maintained a manual system for yard management at their transfer centre in Washington that is always full of lifting equipment, which generated excessive costs for what should have been a relatively simple process of locating customers’ units to prepare them for delivery. A wallboard and sticker system was a low-tech solution for identifying equipment items in the yard at Terex. While inexpensive in itself, the solution cost around six minutes every time an employee had to locate a unit in the yard. It also required a considerable number of hours to be spent each month taking physical inventories. After a successful pilot, the company approved a new solution, replacing stickers, yard maps,…
At a book store, one customer arrives every 6 minutes. The book store has one cashier, and it takes 4 minutes to serve one customer with a standard deviation of 5.9. The arrival process has a standard deviation of 8. (Do not round intermediate calculations. Round your answer to three decimal places.) What is the average number of customers in the queue? customers

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