Two doctors work at a hospital emergency room, the inter-arrivals of patients follow a Poisson distribution 10 minutes on average. The first doctor treatment process time follows a normal distribution with mean of 3 minute and standard deviation of 3 minute, while the second doctor can handle on average 12 patients an hour, with standard deviation of 2 minute. The expected waiting time in queue during each shift is

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 9P
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Two doctors work at a hospital emergency room, the inter-arrivals of patients follow a Poisson distribution 10 minutes on average. The first doctor treatment process time follows a normal distribution with mean of 3 minute and standard deviation of 3 minute, while the second doctor can handle on average 12 patients an hour, with standard deviation of 2 minute. The expected waiting time in queue during each shift is:

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