Compute the expected queueing time in an M/G/1 queue with an arrival rate of 10 per hour and the following service time distributions, all with mean 5 minutes: (1) exponential; (2) uniform over (0,a); (3) deterministic. Which distribution produces the smallest Wq and which the largest?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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Compute the expected queueing time in an M/G/1 queue with an arrival rate of 10 per hour and the following service time distributions, all with mean 5 minutes:
(1) exponential;
(2) uniform over (0,a);
(3) deterministic.
Which distribution produces the smallest Wq and which the largest?

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