Patients arrive at the Emergency Room of a Hospital according to a Poisson process with mean 30 minutes per patient. There are two doctors always on duty. Forty percent of the patients are classified as NIA (Need Immediate Attention) and the rest as CW (Can Wait). NIA patients are given the highest priority, 3, to see a doctor immediately for 40±37 minutes, but then their priority is reduced to 2, and they wait again until the same doctor who initially treated them is free, then receive further attention for 30±25 minutes before being discharged. CW patients initially receive a priority of 1 and are treated, when their turn comes, for 15±14 minutes; their priority is then increased to 2, they wait again (if need be) until the same doctor who initially treated them is free to give them a further 10±8 minutes of final treatment, and are then discharged. If no doctor is free when they first arrive, priority 3 NIA patients preempt priority 1 and priority 2 patients. Preempted patients go ahead of other, non-preempted patients in their respective priority classes, to receive the remaining, preempted treatment time due them from the same doctor. The Emergency Room is in continuous 24-hour operation.

Determine how long we need to run the model, starting from empty, in order to achieve steady-state for first and second order performance metrics. In particular, for the Project I will be asking you to analyze and report on the steady-state performance metrics below. Your concern, for now, is to implement the model in Simscript and use it to determine the points at which these metrics settle into steady-state.

    (i)  The proportion of NIA patients who had to wait, when they arrived, before first receiving attention from a doctor.

   (ii)  The 99th. percentile for the initial waiting times of such NIA patients who had to wait, from when they first arrive until they start receiving attention from a doctor.

  (iii)  Mean initial waiting times for the CW patients, from the instant they arrive until they first start receiving attention from a doctor.

  (iv)  The variance of the initial waiting times for the CW patients, from the instant they arrive until they first start receiving attention from a doctor.

   (v)  The mean total times each of the NIA and CW patients spend from the instant they arrive until they are finally discharged.

  (vi)  The proportion of time each of the two doctors are busy.

Hand-in

You should submit your source code using the  electronic hand-in  procedure provided. Also hand in a report detailing your methodology, experiments, and results.