Hospital Case Study | Arena Simulation

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Patient Type 1 (Low Priority): These are type of patients that are of low priority and they are normally treated by either the Clinical Nurses (CN) or the General Practitioners (GP). These patients arrive at the hospital with a rate Expo (20) min. They are seen by the admission officer, register and are sent to the Triage station. The registration follows POIS distribution with the following parameter (8) minutes. At the Triage station if a CN is available they are assigned to a nurse and only at special occasions if all the CNs are busy and if a GP is available the patient will be seen by the GP for assessment. If there are no Triage staffs available, the patients wait in the waiting area. This area has maximum capacity of 20 people (i.e. if the number in the queue behind the Triage is more than 20 the patient leaves the hospital). Report on the record of number of patients who leave the medical centre without being attended to. Patients that arrive during the break of the Admissions officer leave the system (record the number and report on this number of patients leaving due to admissions being closed)
The Triage processes consist of Patient Assessment, the assessment process follows a Triangular distribution with the following parameters (8, 12, 15) minutes. After the assessment process 85% of the patients are diagnosed, given medication by the Triage staff and leave the clinic. The remaining 15% have further complications that require further consultation with a GP in the Triage for further assessment. The processing time for these patients is Uniform (7, 10) minutes. 30% of these patients who have been diagnosed by the GPs need to be admitted to a bed for admission of drip medicine or monitoring and the rest of patients are discharged and leave the system. The admitted patients normally occupy the beds following a Triangular Distribution (10, 20, 35) hours.
All discharge processes require the chief nurse and one of the GPs (the less busy one) to assess the patient. This process takes a Weibull distribution (14, 18) minutes. The patient is provided with the necessary medication and leaves the system.
There are no admissions after 6:00pm.
Patient Type 2 (High Priority): Are patients with severe illnesses or wounds they are at a rate of Expo (220) minutes and take priority over the low priority patients. The high priority patient does not go through the admission process. These patients are assessed at the Triage by any available CN or GP and admitted to operation room (hint: this type of patients has higher priority to type 1 in the triage). There are 2 surgeons available and they conduct surgery from 9:00am to 6:00pm. Each surgery requires a surgeon, one of the 2 available Operation Rooms and one OR Nurse. The operation follows an Erlang Distribution with the following Distribution parameters (1, 2.3) hours. The queue behind the operation has maximum capacity of 10. Upon completion of the operation the patient is admitted to a bed in the Ward. The excess patients from queueing for Operation (more than 10 in the queue) are sent for transfer by the ambulance to the hospital.
There are a total number of 5 beds in the Clinic Ward and is shared between all patients that are admitted to the hospital (Low and High Priority Alike). The capacity of queue behind the ward is 3. If all beds are occupied or there is not enough space behind the operation rooms, the patient is transferred to a faraway hospital using the 2 available ambulances (Each ambulance is used half of the time). If neither beds nor ambulance is available the patient will lose his/her life.
The Operation Room relies on a power Generator that breaks down (making total operating room unusable) following a Poisson Distribution of 3 times a month with it taking Normal Distribution time of (2, 0.5) hours to fix.
The operation room has also a number of machines that need to be working during the operation. They are:

Patients can only be discharged between 8:00am-7:00pm. Any patient missing the 7:00pm Discharge would remain in the clinic – occupying the bed until the following day to be discharged.
There are 2 Ward Nurses (WN) during the day and 1 at night shifts. The WN are assigned to all beds in ward and they monitor patients, one has to be present at any time. In the day each nurse has to go to a break at least every 6 hours. When both nurses are available they agree to take responsibility for one area of the Ward which is equally divided between them. The Clinical staff and admissions staff follow rotating shifts with the following schedules: