9.4.3 Consider a two-server system in which an arriving customer enters the system if and only if...

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9.4.3 Consider a two-server system in which an arriving customer enters the system if and only if a server is free. Suppose that customers arrive according to a Poisson process of rate  D 10 customers per hour, and that service times are exponentially distributed. The servers have different experience in the job, and the newer server has a mean service time of 6 min, while the older has a mean service time of 4 min. In the long run, what is the rate of customers served per hour? Be explicit about any additional assumptions that you make.

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An Introduction To Stochastic Modeling

ISBN: 9780233814162

4th Edition

Authors: Mark A. Pinsky, Samuel Karlin

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