Patients  arrive  at  a  medical  cabinet  according  to  a  Poisson  distribution  at rate  of  6  patients  per  hour.  The  waiting  room  does  not  accommodate  more  than 4  patients.  Examination  time  per  patient  is  exponential  with  mean  15  min  and  is done  by  one  doctor.  What  is  the  expected  waiting  time  until  a  patient  is  discharged  from  the clinic?

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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Patients  arrive  at  a  medical  cabinet  according  to  a  Poisson  distribution  at rate  of  6  patients  per  hour.  The  waiting  room  does  not  accommodate  more  than 4  patients.  Examination  time  per  patient  is  exponential  with  mean  15  min  and  is done  by  one  doctor. 

What  is  the  expected  waiting  time  until  a  patient  is  discharged  from  the clinic? 

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