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?

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 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?

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