311_Session2_ExtraQuestions

311_Session2_ExtraQuestions - Operations management Session...

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Session 2 Operations Management 1   Operations management Session 2:   Extra Questions
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Session 2 Operations Management 2 Emergency Room
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Session 2 Operations Management 3 Emergency Room 50 patients (on average) arrive to the emergency room  every hour All patients go through an initial check (by a nurse) and  registration 10% of patients are admitted to the hospital 30 patients (on average) are waiting to be registered.  40 patients (on average) are registered and waiting to be examined  by the physician.  Patients admitted to the hospital spend (on average) 30 mins. with  the physician. Patients not admitted to the hospital only spend 6  mins. There are 10 physicians.
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Session 2 Operations Management 4 Emergency Room What is the average time a patient spends in the ER  (before being examined by a physician)? TT = WIP / TR = (30+40)/50 = 70/50 = 1.4 hours What is the average time a patient is waiting to be  registered? TT = WIP / TR = 30/50 = 30/50 = 0.6 hours
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Session 2 Operations Management 5 Emergency Room What is the average time a patient is waiting to be  checked by a physician (after registration)? TT = WIP / TR = 40/50  = 0.8 hours (Note:  0.6+0.8=1.4.) What is the average throughput time? 0.8 hours + (30*0.1 + 6*0.9)/60 = 0.94 hours Why are patients  waiting ? Not enough physicians
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Session 2 Operations Management 6 Emergency Room How much time is required? Physicians serve 50 patients every hour (input equal to  output) Total required time is:  50*0.1*30 + 50*0.9*6 = 150 + 270 = 420 min    420/60 =  7 physicians
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Session 2 Operations Management 7 Emergency Room There are 10 physicians.  Physicians are busy  only  70%  of the time. Why are customers waiting 0.8 hours in average? Randomness in the checking (service) time. Randomness in the arrival times. 
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Session 2 Operations Management 8 Emergency Room:  Example Imagine a system in which patients arrive to a  physician exactly every 12 min. The checking time of 20% of the patients is 30 min per patient.    The checking time of 80% is 6 min per patient. What is the  average checking time ? Is there  enough capacity
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Session 2 Operations Management 9 Emergency Room:  Example Imagine the following sequence of event 1 2 3 4 36 48 60 5 6 18 12 0
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Session 2 Operations Management 10 Emergency Room:  Example Average waiting time =  (0 + 18 + 12 + 6 + 0) / 5 = 7.2.
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This note was uploaded on 04/30/2008 for the course BUAD 311 taught by Professor Vaitsos during the Spring '07 term at USC.

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311_Session2_ExtraQuestions - Operations management Session...

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