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 the average, 10 persons per hour request a test. Blood pressure measurements can be made following the queuing (waiting line) model we have studied with an average service time of five minutes each. a) What is the expected average number waiting in line for the testing booth? b) What is the average amount of time that a person can expect to spend waiting in line? c) On average, how long will a person spend in the system (waiting for the testing booth and having the blood pressure test)? d) What is the probability that a person arriving will have to wait for the testing booth?

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 the average, 10 persons per hour request a test. Blood pressure measurements can be made following the queuing (waiting line) model we have studied with an average service time of five minutes each. a) What is the expected average number waiting in line for the testing booth? b) What is the average amount of time that a person can expect to spend waiting in line? c) On average, how long will a person spend in the system (waiting for the testing booth and having the blood pressure test)? d) What is the probability that a person arriving will have to wait for the testing booth?

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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