Please do not give solution in image format thanku To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week.Previous experience indicates that, on average, 110 persons per hour request a test. Assume arrivals are Poisson distributed from aninfinite population. Blood pressure measurements can be made at a constant time of four minutes each. Assume the queue length canbe infinite with the FCFS disciplinea. What average number in line can be expected? (Round your answer to 3 decimal places.)Average number expectedTime takenb. What average number of persons can be expected to be in the system? (Do not round your intermediate calculations. Round youranswer to 3 decimal places.)Average number of personspeoplec. What is the average amount of time that a person can expect to spend in line? (Do not round your intermediate calculations.Round your answer to 4 decimal places.)Average amount of timehourshourspersonsd. On average, how much time will it take to measure a person's blood pressure, including their waiting time? (Do not round yourintermediate calculations. Round your answer to 4 decimal places.)

Queuing theory is a mathematical discipline that deals with the study of waiting lines, or queues,…

Answered: To support National Heart Week, the…

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 21P

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Please do not give solution in image formate thanku. To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 10 persons per hour request a test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made at a constant time of five minutes each. Assume the queue length can be infinite with the FCFS discipline. What average number of persons can be expected to be in the system? What is the average amount of time that a person can expect to spend in line? On average, how much time will it take to measure a person’s blood pressure, including their waiting time?
To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 10 persons per hour request a test. Assume arrivals are Poisson distributed from an ini nite population. Blood pressure measurements can be made at a constant time of five minutes each. Assume the queue length can be infinite with FCFS discipline. a. What average number in line can be expected? b. What average number of persons can be expected to be in the system? c. What is the average amount of time that a person can expect to spend in line? d. On the average, how much time will it take to measure a person’s blood pressure, including waiting time? e. On weekends, the arrival rate can be expected to increase to over 12 per hour. What effect will this have on the number in the waiting line?
Provide an example of when a first-in, first-out (FIFO) rulefor queue discipline would not be appropriate
Ali Baba's Car Wash Service Centre is open 6 days a week, but its busiest day is always on Sunday. From the previous data, Ali Baba estimates that dirty cars arrive at the rate of one every two minutes, One car at a time is cleaned in this example of a single-channel waiting line. Assuming Poisson arrivals and exponential service times, find the following: i) Compute the average number of cars in line

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