A walk-in clinic at a large university campus receives an average of 17 patients per hour. The
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Question:
A walk-in clinic at a large university campus receives an average of 17 patients per hour. The patient arrival pattern follows a Poisson distribution, and the average time to serve a patient is 10 minutes, which follows an exponential distribution. The clinic has 3 full-time doctors available to see patients.
- a) Calculate the utilization of doctors.
- b) Calculate the average number of patients waiting (in the queue) to see the doctor.
- c) Calculate the average time a patient spends waiting (in the queue) before seeing a doctor.
- d) Calculate the average time a patient spends in the system (waiting plus time with the doctor).
- e) What is the probability that there are no patients in the system?
- f) What is the probability that a new patient has to wait (in the queue)?
- g) If the target service level is 85% for a threshold time of 6 minutes, what is the minimum number of doctors required to achieve this target?
Summary of Data:
- • Arrival rate (λ) = 17 patients per hour
- • Service rate (μ) = 6 patients per hour (since average service time = 10 minutes)
- • Number of doctors (s) = 3
Related Book For
Quantitative Methods for Business
ISBN: 978-0324651751
11th Edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey cam
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