94 To support National Heart Week, the Heart Assoclation plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 13.0 persons per hour request a test. Assume arrivals are Poison distributed from an Infinite population. Blood pressure measurements can be made at a constant time of four minutes each. Assume the queue length can be infinite with the FCFS discipline a. What average number in line can be expected? Note: Round your answer to 3 decimal places. b. What average number of persons can be expected to be in the system? Note: Do not round your intermediate calculations. Round your answer to 3 decimal places. c. What is the average amount of time that a person can expect to spend in line? Note: Do not round your intermediate calculations. Round your answer to 4 decimal places. d. On average, how much time will it take to measure a person's blood pressure, including their waiting time? Note: Do not round your intermediate calculations. Round your answer to 4 decimal places.

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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To support National Heart Week, the Heart Assoclation plans to install a free blood pressure testing booth in El Con Mall for the week.

Previous experience indicates that, on average, 13.0 persons per hour request a test. Assume arrivals are Poison distributed from an Infinite population. Blood pressure measurements can be made at a constant time of four minutes each. Assume the queue length can be infinite with the FCFS discipline

a. What average number in line can be expected?

Note: Round your answer to 3 decimal places.

b. What average number of persons can be expected to be in the system?

Note: Do not round your intermediate calculations. Round your answer to 3 decimal places.

c. What is the average amount of time that a person can expect to spend in line?

Note: Do not round your intermediate calculations. Round your answer to 4 decimal places.

d. On average, how much time will it take to measure a person's blood pressure, including their waiting time?

Note: Do not round your intermediate calculations. Round your answer to 4 decimal places.

 

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