Question
Consider a single-server queuing system. Customers arrive according to a Poisson process with rate 5 / hour. Service time is exponentially distributed with mean 1/8
Consider a single-server queuing system. Customers arrive according to a Poisson process with rate 5 / hour. Service time is exponentially distributed with mean 1/8 hours.
(a) Find L, Lq, W, Wq using the results of M/M/1 model.
(b) Find L, Lq, W, Wq using Pollaczek-Khichine formula and compare with (a).
(c) Assume that service time is deterministic (M/D/1), instead of exponential.
Compute Lq and Wq, compare with the results of (a) or (b), and interpret the results.
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Introduction to Operations Research
Authors: Frederick S. Hillier, Gerald J. Lieberman
10th edition
978-0072535105, 72535105, 978-1259162985
