Raj’s Dental Clinic provides general dental care to residents of Hoboken on a walk-in basis. Theclinic has started receiving complaints from patients that the waiting time is too long and has askedyou to investigate whether this problem can be solved.Upon arrival, customers first receive a series of paperwork from the receptionist and fill out relevantinformation such as personal health records and insurance provider. The form is then handed backto the receptionist who enters the information into the computer system for the dentist to see. Adental assistant then takes an X-ray from the patient. A dentist then performs the checkup anddiscusses any issues with the patient.Based on conversations with staff members at the clinic, you have obtained the following informationon the process:• It takes about 5 minutes for a customer to fill out the paperwork.• Entry of information on the paperwork into the system and verification with past recordstakes another 5 minutes for a receptionist. There are two receptionists.• It takes 15 minutes, on average, for the dental assistant to take an X-ray. There are threedental assistants on shift at any moment.• There are 10 dentists working at the clinic. Each checkup takes 30 minutes, on average.The following table summarizes the process data collected above.Resource Process Staffing (Number ofWorkers)Processing Time (Minutes perPatient)Self-serve Paperwork - 5Receptionists Data Entry 2 5DentalAssistant X-ray 3 15Dentist Checkup 10 30What is the capacity (patients/hour) at the resource “Dentist”? What is the bottleneck in the process?Assuming unlimited demand, what would be the flow rate? Assuming unlimited demand, what would be the utilization at resource “Receptionists”? Assume the process started empty. How long would it take to serve 20 patients?

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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Raj’s Dental Clinic provides general dental care to residents of Hoboken on a walk-in basis. The
clinic has started receiving complaints from patients that the waiting time is too long and has asked
you to investigate whether this problem can be solved.
Upon arrival, customers first receive a series of paperwork from the receptionist and fill out relevant
information such as personal health records and insurance provider. The form is then handed back
to the receptionist who enters the information into the computer system for the dentist to see. A
dental assistant then takes an X-ray from the patient. A dentist then performs the checkup and
discusses any issues with the patient.
Based on conversations with staff members at the clinic, you have obtained the following information
on the process:
• It takes about 5 minutes for a customer to fill out the paperwork.
• Entry of information on the paperwork into the system and verification with past records
takes another 5 minutes for a receptionist. There are two receptionists.
• It takes 15 minutes, on average, for the dental assistant to take an X-ray. There are three
dental assistants on shift at any moment.
• There are 10 dentists working at the clinic. Each checkup takes 30 minutes, on average.
The following table summarizes the process data collected above.
Resource Process Staffing (Number of
Workers)
Processing Time (Minutes per
Patient)
Self-serve Paperwork - 5
Receptionists Data Entry 2 5
Dental
Assistant X-ray 3 15
Dentist Checkup 10 30
What is the capacity (patients/hour) at the resource “Dentist”? 
What is the bottleneck in the process?
Assuming unlimited demand, what would be the flow rate? 
Assuming unlimited demand, what would be the utilization at resource “Receptionists”?
Assume the process started empty. How long would it take to serve 20 patients? 
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