Please asnwer the following questions: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 patienys on average will be in the ER? A hospital emergency room (ER) is currently organized so that all patients registerthrough an initial check-in process. At his or her turn, each patient is seen by a doctorand 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 thehospital. On average, 7 people are waiting to be registered and 34 are registered andwaiting to see a doctor. The registration process takes, on average, 2 minutes perpatient. Among patients who receive prescriptions, average time spent with a doctor is 5minutes. Among those admitted to the hospital, average time is 30 minutes.A new triage system has been proposed for the ER described above. Under theproposed triage plan, entering patients will be registered as before. They will then bequickly examined by a triage nurse who will classify them as Simple Prescriptions orPotential Admits. While Simple Prescriptions will move on to an area staffed for regularcare, Potential Admits will be taken to the emergency area. The triage nurse is expectedto take an average of 1 minute per patient. The planners expect that, on average, 20patients 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 theSimple Prescriptions area to have, on average, 15 patients waiting to be seen. Asbefore, once a patient's turn comes, each will take 5 minutes of a doctor's time. Thehospital anticipates that, on average, the emergency area will have only 1 patientwaiting to be seen. As before, once that patient's turn comes, he or she will take 30minutes of a doctor's time. Assume that, as before, 90 percent of all patients are SimplePrescriptions. Assume, too, that the triage nurse is 100 percent accurate in makingclassifications.Answer the following questions, assuming the process to be stable; that is, averageinflow rate equals average outflow rate.Under the proposed plan, how long, on average, will a patient spend in the ER? (Giveanswer in minutesUnder 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?

Introduction: This is the concept about average inflow and outflow. It deals how to manage the…

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 patienys on average will be in the ER?

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 patienys 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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A hospital Emergency Room currently registers each patient first through an initial check-in process, where s/he is seen by a doctor at the check-in, and then exits the process, either with a prescription or with admission to the hospital. Currently, 50 people per hour arrive at the Emergency Room, 10 percent of who are admitted to the hospital. On average, 35 registered patients are waiting to see a doctor at any time during this process. The registration process takes, on average, 6 minutes per patient. Among patients who receive prescriptions, average time spent with a doctor is 10 minutes. Among those admitted to the hospital, average time of stay is 30 minutes. Steps 1, 3, and 5 have zero duration (triggers or decision points). On average, how many patients are waiting to be registered or in the registation process (step 1)? On average, how long does a patient spend in the ER? On average, how many patients are there in the ER? Assume the process to be stable; that is,…
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