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At Trojans Urgent Care Clinic, there is one triage nurse, 5 nurse practitioners, and 3 doctors. Patients arrive to the triage nurse, and the triage nurse decides if their case can be handled by a nurse practitioner or must be handled by a doctor. The triage nurse can detect patients whose case can be handled by a nurse practitioner in on average 5 minutes with standard deviation 1 minute; however, the triage nurse spends on average 10 minutes with standard deviation 3 minutes with patients whose case is eventually handled by a doctor. Patients seeing a nurse practitioner spend on average 30 minutes with standard deviation 8 minutes with the nurse practitioner, and patients seeing a doctor spend on average 45 minutes with

At Trojans Urgent Care Clinic, there is one triage nurse, 5 nurse practitioners, and 3 doctors. Patients arrive to the triage nurse, and the triage nurse decides if their case can be handled by a nurse practitioner or must be handled by a doctor. The triage nurse can detect patients whose case can be handled by a nurse practitioner in on average 5 minutes with standard deviation 1 minute; however, the triage nurse spends on average 10 minutes with standard deviation 3 minutes with patients whose case is eventually handled by a doctor. Patients seeing a nurse practitioner spend on average 30 minutes with standard deviation 8 minutes with the nurse practitioner, and patients seeing a doctor spend on average 45 minutes with

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 52P
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At Trojans Urgent Care Clinic, there is one triage nurse, 5 nurse practitioners, and 3 doctors. Patients arrive to the triage nurse, and the triage nurse decides if their case can be handled by a nurse practitioner or must be handled by a doctor. The triage nurse can detect patients whose case can be handled by a nurse practitioner in on average 5 minutes with standard deviation 1 minute; however, the triage nurse spends on average 10 minutes with standard deviation 3 minutes with patients whose case is eventually handled by a doctor. Patients seeing a nurse practitioner spend on average 30 minutes with standard deviation 8 minutes with the nurse practitioner, and patients seeing a doctor spend on average 45 minutes with standard deviation 10 minutes with the doctor. 60% of arriving patients are cared for by a nurse practitioner and 40% of arriving patients are cared for by a doctor. Patients leave the Urgent Care Clinic after seeing either the nurse practitioner or the doctor. a) If 8 patients per hour arrive at the clinic, what is the bottleneck of Trojans Urgent Care Clinic? What is the capacity?
Transcribed Image Text:At Trojans Urgent Care Clinic, there is one triage nurse, 5 nurse practitioners, and 3 doctors. Patients arrive to the triage nurse, and the triage nurse decides if their case can be handled by a nurse practitioner or must be handled by a doctor. The triage nurse can detect patients whose case can be handled by a nurse practitioner in on average 5 minutes with standard deviation 1 minute; however, the triage nurse spends on average 10 minutes with standard deviation 3 minutes with patients whose case is eventually handled by a doctor. Patients seeing a nurse practitioner spend on average 30 minutes with standard deviation 8 minutes with the nurse practitioner, and patients seeing a doctor spend on average 45 minutes with standard deviation 10 minutes with the doctor. 60% of arriving patients are cared for by a nurse practitioner and 40% of arriving patients are cared for by a doctor. Patients leave the Urgent Care Clinic after seeing either the nurse practitioner or the doctor. a) If 8 patients per hour arrive at the clinic, what is the bottleneck of Trojans Urgent Care Clinic? What is the capacity?
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