Patients arrive to a small hospital emergency room according to a Poisson process withan average rate of 1.5 per hour. Because service times for these patients vary considerably, the service times are accurately described by an exponential distribution. Supposethat the average service time is 26 minutes. If there is only a single doctor working atany point in time, find the following measures of service for this emergency room:a. The expected total time in the system

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 21P
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Patients arrive to a small hospital emergency room according to a Poisson process with
an average rate of 1.5 per hour. Because service times for these patients vary considerably, the service times are accurately described by an exponential distribution. Suppose
that the average service time is 26 minutes. If there is only a single doctor working at
any point in time, find the following measures of service for this emergency room:
a. The expected total time in the system

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