question archive Renaissance Clinic Renaissance Clinic provides quick checkups for chronic diseases
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Renaissance Clinic
Renaissance Clinic provides quick checkups for chronic diseases. At the time of a visit, a patient first checks in with the receptionist who directs the patient to be seen by either a nurse or Dr. Thompson. Some patients see both the nurse and the doctor.
For this case, we apply queuing theory to Dr. Thompson’s practice. The data below were collected over several days of typical activity.
Description |
Expectations |
Arrival rate of patients |
20 per hour |
Fraction of patients who see nurse |
75% |
Fraction of nurse patients who also see physician |
20% |
Service rate of receptionist |
30 per hour |
Service rate of nurse |
20 per hour |
Service rate of physician |
10 per hour |
Assume the waiting lines at the receptionist, nurse, and doctor are managed independently, each with a FCFS priority. For each of your answers, write a complete sentence stating the meaning of the result, for example, “The 90% utilization rate of the ice cream server is very high and will result in a long queue,” or “There are 20 people in the queue. They will need a lot of space.”
Assignment
1. Use the queuing formulas from example 1 in the class notes to estimate:
a. The mean utilization rates of the receptionist, nurse, and doctor.
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