b) What condition would exist if only one doctor were on duty between 8 p.m and midnight? Ted Glickm

b) What condition would exist if only one doctor were on duty between 8 p.m and midnight?

Ted Glickman, the administrator at D.C. General Hospital emergency room faces the problem of providing treatment for patients who arrive at different rates during the day. There are 4 doctors available to treat patients when needed. If not needed, they can be assigned other responsibilities (such as doing lab tests, reports, X-ray diagnoses) or else rescheduled to work at other hours. It is important before being seen by a doctor. Patients are treated on a first-come, first-served basis and see the first available doctor after waiting in the queue. The arrival pattern for a typical day is as follows: provide quick and responsive treatment, and Ted feels that, on the average, patients should not have to sit in the waiting area for more than 4 minutes Time Arrival Rate 7 patients/hour 9 A.M, -3 PM. 3 PM. -8 PM. 4 patients/hour 8 P.M. midnight 13 patients/hour Arrivals follow a Poisson distribution, and treatment times, 12 minutes on the average, follow the negative exponential pattern. a) How many doctors should be on duty during each period to maintain the level of patient care expected? The least number of doctors required during the 9 A.M. 3 P.M. shift to meet the set waiting time goal is 4 2 3 1

 

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