A cafeteria serving line has a coffee urn from which customers serve themselves. Arrivals at the urn follow aPoisson distribution at the rate of 2.0 per minute. In serving themselves, customers take about 25 seconds,exponentially distributed.(a) How long would you expect it to take to get a cup of coffee, including waiting time?(b) If the cafeteria installs an automatic vendor that dispenses a cup of coffee at a constant time of 25seconds, how long would you expect it to take (in minutes) to get a cup of coffee, including waiting time?

Given data is Arrival rate (lambda) = 2 per minute Service rate (mu) = 25 seconds = 6025=2.4 mins

Answered: A cafeteria serving line has a coffee…

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

Problem 9P

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