Question

A. A Medical Center is seeking the recruitment of a dentist for its outpatient clinic due to the high demand on dental services in the center. The center's records show that the patients arrive at the outpatient clinic at the rate of 8 per hour. The records also show that it takes an average of 6 minutes to checkup a patient. It is assumed that arrivals follow the Poisson distribution while the checking up times follow the negative exponential distribution. As a Business Analyst, apply the queuing (Waiting Line) modeling concepts to compute the: 1. expected time a patient spends just waiting in the queue to have a checkup 2. average number of patients waiting in the queue to be checked up 3. average time a patient seeking checkup spends at the clinic. 4. average number of patients receiving and waiting to receive checkup. 5. probability that there will be more than 5 patients in the clinic. 6. proportion of the time that the Dentist is busy. 7. probability that the Dentist is idle. 8. Discuss your results in (a) to (g) and propose your solution for the management.