Moore, Aiken, and Payne is a critical care dental clinic serving the emergency needs of the general public on a first-come, first-served basis. The clinic has five dental chairs, three of which are currently staffed by a dentist. Patients in distress arrive at the rate of five per hour, according to a Poisson distribution, and do not balk or renege. The average time required for an emergency treatment is 30 minutes, according to an exponential distribution. Use POM for Windows or OM Explorer to answerthe following questions:a. If the clinic manager would like to ensure that patients do not spend more than 15 minutes on average waiting to see the dentist, are three dentists on staff adequate? If not, how many more dentists are required? b. From the current state of three dentists on staff, what is the change in each of the following operating characteristics when a fourth dentist is placed on staff:▪ Average utilization▪ Average number of customers in line▪ Average number of customers in the systemc. From the current state of three dentists on staff, what is the change in each of the following operating characteristics when a fifth dentist is placed on staff:▪ Average utilization▪ Average number of customers in line▪ Average number of customers in the system

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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Moore, Aiken, and Payne is a critical care dental clinic serving the emergency needs of the general public on a first-come, first-served basis. The clinic has five dental chairs, three of which are currently staffed by a dentist. Patients in distress arrive at the rate of five per hour, according to a Poisson distribution, and do not balk or renege. The average time required for an emergency treatment is 30 minutes, according to an exponential distribution. Use POM for Windows or OM Explorer to answer
the following questions:
a. If the clinic manager would like to ensure that patients do not spend more than 15 minutes on average waiting to see the dentist, are three dentists on staff adequate? If not, how many more dentists are required?

b. From the current state of three dentists on staff, what is the change in each of the following operating characteristics when a fourth dentist is placed on staff:
▪ Average utilization
▪ Average number of customers in line
▪ Average number of customers in the system
c. From the current state of three dentists on staff, what is the change in each of the following operating characteristics when a fifth dentist is placed on staff:
▪ Average utilization
▪ Average number of customers in line
▪ Average number of customers in the system

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,