2.6. Customers arrive at a service facility according to a Poisson process of rate A. There is...
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2.6. Customers arrive at a service facility according to a Poisson process of rate A. There is a single server, whose service times are exponentially distributed with parameter μ. Suppose that "gridlock" occurs whenever the total number of customers in the system exceeds a capacity C. What is the smallest capacity C that will keep the probability of gridlock, under the limiting distributing of queue length, below 0.001? Express your answer in terms of the traffic intensity p = A/μ.
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Related Book For
An Introduction To Stochastic Modeling
ISBN: 9780126848878
3rd Edition
Authors: Samuel Karlin, Howard M. Taylor
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