Sep 19, 2017

AT THE OUTBREAK OF A SERIOUS INFECTIOUS DISEASE IN A REMOTE PART OF THE GLOBE, VOLUNTEER DOCTORS

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At the outbreak of a serious infectious disease in a remote part of the globe, volunteer doctors and nurses work in pairs (doctor plus nurse) to provide some form of relief. They arrange their service, one volunteer pair per affected village, in such a way that the population of the village first must pass some preliminary tests with the nurse before being seen by the doctor. These preliminary tests, of which there are two, may be assumed to be exponentially distributed with means of 1/4 and 1/6 hours, respectively. The time spent with the doctor may be assumed to be exponentially distributed with mean service time equal to 1/9 hours. Explain how the system at a single village may be modeled as a G/M/1 queue and compute the mean waiting time a villager spends between leaving the nurse and being called by the doctor.


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