Suppose you are operating a medical care center for a large factory. Workers come to the center if they become ill during office hours or if they have an accident requiring medical care.

Assume patients for the medical office arrive randomly following a Markov Process (that is, the interarrival times are exponentially distributed). Patients arrive individually with a mean interarrival time of 15 minutes. The office can treat patients in an average time of 12 minutes, but some take longer and others less. Suppose the standard deviation of service time is 3 minutes. There is one medical team available to see arriving patients.

1. Compute for the System Load Factor or Utilization of Facility
2. Compute the average waiting time of an arrival
3. Compute the average length of the waiting line
4. What is the total time in the system (waiting time plus service time) on average?
5. If we assume a 24-hour workday (3 shifts), How many patients on average will be arriving per day?
6. Suppose the cost of lost time for each worker is $60 per hour (or $1 per minute), what is the total cost per day from lost time for this system?