A hospital emergency room (ER) Is currently organized so thất all patients register through an initial check-in process. At his or her turn, each patient is seen by a doctor and then exits the process, either with a prescription or with admission to the hospital. Currently, 55 people per hour arrive at the ER, 10 percent of who are admitted to the hospital. On average, 7 people are waiting to be registered and 34 are registered and waiting to see a doctor. The registration process takes, on average, 2 minutes per patient. Among patients who receive prescriptions, average time spent with a doctor is 5 minutes. Among those admitted to the hospital, average time is 30 minutes. A new triage system has been proposed for the ER described above. Under the proposed triage plan, entering patients will be registered as before. They will then be quickly examined by a triage nurse who will classify them as Simple Prescriptions or Potential Admits. While Simple Prescriptions will move on to an area staffed for regular care, Potential Admits will be taken to the emergency area. The triage nurse is expected to take an average of 1 minute per patient. The planners expect that, on average, 20 patients will be waiting to register and 5 will be waiting to be seen by the triage nurse. Recall that registration takes an average of 2 minutes per patient. Planners expect the Simple Prescriptions area to have, on average, 15 patients waiting to be seen. As before, once a patient's turn comes, each will take 5 minutes of a doctor's time. The hospital anticipates that, on average, the emergency area will have only 1 patient waiting to be seen. As before, once that patient's turn comes, he or she will take 30 minutes of a doctor's time. Assume that, as before, 90 percent of all patients are Simple Prescriptions. Assume, too, that the triage nurse is 100 percent accurate in making classifications. Answer the following questions, assuming the process to be stable; that is, average inflow rate equals average outflow rate. Under the proposed plan, how long, on average, will a patient spend in the ER? (Give answer in minutes Under the proposed plan, how long, on average, will a Potential Admit spend in the ER? Under the proposed plan, how many patients, on average, will be in the ER?
A hospital emergency room (ER) Is currently organized so thất all patients register through an initial check-in process. At his or her turn, each patient is seen by a doctor and then exits the process, either with a prescription or with admission to the hospital. Currently, 55 people per hour arrive at the ER, 10 percent of who are admitted to the hospital. On average, 7 people are waiting to be registered and 34 are registered and waiting to see a doctor. The registration process takes, on average, 2 minutes per patient. Among patients who receive prescriptions, average time spent with a doctor is 5 minutes. Among those admitted to the hospital, average time is 30 minutes. A new triage system has been proposed for the ER described above. Under the proposed triage plan, entering patients will be registered as before. They will then be quickly examined by a triage nurse who will classify them as Simple Prescriptions or Potential Admits. While Simple Prescriptions will move on to an area staffed for regular care, Potential Admits will be taken to the emergency area. The triage nurse is expected to take an average of 1 minute per patient. The planners expect that, on average, 20 patients will be waiting to register and 5 will be waiting to be seen by the triage nurse. Recall that registration takes an average of 2 minutes per patient. Planners expect the Simple Prescriptions area to have, on average, 15 patients waiting to be seen. As before, once a patient's turn comes, each will take 5 minutes of a doctor's time. The hospital anticipates that, on average, the emergency area will have only 1 patient waiting to be seen. As before, once that patient's turn comes, he or she will take 30 minutes of a doctor's time. Assume that, as before, 90 percent of all patients are Simple Prescriptions. Assume, too, that the triage nurse is 100 percent accurate in making classifications. Answer the following questions, assuming the process to be stable; that is, average inflow rate equals average outflow rate. Under the proposed plan, how long, on average, will a patient spend in the ER? (Give answer in minutes Under the proposed plan, how long, on average, will a Potential Admit spend in the ER? Under the proposed plan, how many patients, on average, will be in the ER?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 52P
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