9.3.2 Consider a single-server queueing system having Poisson arrivals at rate . Suppose that the service times

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9.3.2 Consider a single-server queueing system having Poisson arrivals at rate . Suppose that the service times have the gamma density

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where > 0 and > 0 are fixed parameters. The mean service time is = and the variance is =2. Determine the equilibrium mean queue length L.

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An Introduction To Stochastic Modeling

ISBN: 9780233814162

4th Edition

Authors: Mark A. Pinsky, Samuel Karlin

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