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GA2 - Joaquin Pablo Hospital The Joaquin Pablo Hospital in the city of Las Tablas has an Urgent Care room open around the clock, to serve patients...

GA2 - Joaquin Pablo Hospital

The Joaquin Pablo Hospital in the city of Las Tablas has an Urgent Care room open around the clock, to serve patients from many neighboring towns. Based on records collected over the last year, the rate of arrival for the patients at the Urgent Care room is estimated to be approximately 20 patients per hour, with an exponential distribution.

Based on the records from the last year, it is estimated that approximately 20% of the patients will only need to see a nurse, and will be discharged after that; 40% of the patients will only need to see a doctor, and will be discharged after that; and the remaining 40% will need to first see a nurse, then see a doctor, and then will be discharged.

Based on observations conducted by hospital administratives, once a patient gets to see the nurse, the time it takes the nurse to get the patient ready to be discharged seems to follow a triangular distribution, with a minimum of 15 minutes, a mode of 30 minutes, and a maximum of 60 minutes. The same distribution applies irrespective of whether the patient will only see the nurse or will later go to see the doctor.

Based on the same observations conducted by hospital administratives, once a patient gets to see the doctor, the time it takes the doctor to get the patient ready to be discharged also seems to follow a triangular distribution, with a minimum of 10 minutes, a mode of 20 minutes, and a maximum of 30 minutes.

Currently, the Urgent Care room has available at any given time a total of 11 doctors and 14 nurses.

1. What is the utilization of doctors?

2. What is the utilization of nurses?

3. The Nurse Union is considering a partial strike that would reduce the number of available nurses to only 9 at any given time. Under this scenario, what would be the utilization of the 9 nurses that are not in the strike?

4. The Nurse Union decided not to conduct the strike, so the number of nurses is at its normal level.The hospital is now considering hiring some new doctors, so that a total of 12 doctors would be available at any given time. If there were 12 doctors available at any given time, what would be the utilization of the doctors?

5. The hospital decided not to hire the new doctors, so the number of doctors is at its normal level. The hospital is now considering requiring doctors to complete a form with each patient they see. This would add 12 minutes to the time the doctor spends with each patient (in all cases). If the doctors are required to spend these 12 additional minutes with each patient, what would be the utilization of the doctors?

6. The hospital decided not to require the doctors to fill out the forms, so the times that doctors spend with their patients are at their normal levels.The main hospital in the nearby city of Chitre is going to be demolished to build a new one in its place. The patients that would have gone to the Urgent Care room of that hospital in Chitre are now expected to come to the Urgent Care room of the Joaquin Pablo Hospital in Las Tablas. It is expected that this will bring the arrival rate of patients up to 35 per hour. Run a simulation with this arrival rate, from time 0 to time 82000 minutes. If the patient arrival rate was 35 patients per hour...

a) what would be the utilization of the doctors? b) what would be the utilization of the nurses?

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