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Problem 3.4 MBPF

Problem 3.4 MBPF.

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Problem 3.4 MBPF

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  1. Problem 3.4 MBPF A hospital emergency room (ER) is currently organized so that 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 with a prescription. Currently 60 people per hour arrive at the ER. On average, 5 people are waiting to be registered and 20 are registered and waiting to see a doctor. The registration process takes, on average, 2 minutes per patient. Average time spent with a doctor is 10 minutes. On average, how long does a patient spend in the ER? Assume the process to be stable; that is, average inflow rate equals average outflow rate.

  2. Directions • o) Draw the flow process chart • b) On average how long a patient spend in ER? • c) On average how many patients are in ER? • Hints: • Compute flow time in buffer 1 • Compute average activity time of Doctor • Compute the average flow time in this process • Compute average flow time for a simple prescription patient • Compute average flow time for a potential admission patient • Compute number of patients in Doctor activity • Compute the average number of patients in the process.

  3. Flow Time 7.6 37.1 TD= .9(5)+.1(30) = 7.5 7.5 54.2 TPA= 7.6+2+37.1+30 = 76.7 TP=.1(76.7)+.9(51.7) = 54.2 TSP= 7.6+2+37.1+5 = 51.7

  4. Inventory 1.8 6.9

  5. The Little’s Law 49.7 Recheck I = 49.7, R = 55. Is our T= 54.2 correct? RT= I R = 55/60 = 0.916667 minutes RT = I  T=I/R = 49.7/0.916667 = 54.2

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