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).

Compute Lq and Wq, compare with the results of (a) or (b), and interpret the results.

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