Consider a single-server queueing system with a Poisson input, Erlang service times, and a finite queue. In
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(a) Construct the corresponding rate diagram. Write the balance equations, and then use these equations to solve for the steadystate distribution of the state of this queueing system.
(b) Use the steady-state distribution obtained in part (a) to identify the steady-state distribution of the number of customers in the system (P0, P1, P2) and the steady-state expected number of customers in the system (L).
(c) Compare the results from part (b) with the corresponding results when the service-time distribution is exponential.
Distribution
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Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
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