There are 5 students and one keg of beer at a wild andcrazy campus party. The time to draw a glass of beer followsan exponential distribution, with an average time of 2minutes. The time to drink a beer also follows an exponentialdistribution, with a mean of 18 minutes. After finishing abeer, each student immediately goes back to get anotherbeer.a On the average, how long does a student wait in linefor a beer?b What fraction of the time is the keg not in use?c If the keg holds 500 glasses of beer, how long, onthe average, will it take to finish the keg?

There are 5 students and one keg of beer at a wild andcrazy campus party. The time to draw a glass of beer followsan exponential distribution, with an average time of 2minutes. The time to drink a beer also follows an exponentialdistribution, with a mean of 18 minutes. After finishing abeer, each student immediately goes back to get anotherbeer.a On the average, how long does a student wait in linefor a beer?b What fraction of the time is the keg not in use?c If the keg holds 500 glasses of beer, how long, onthe average, will it take to finish the keg?

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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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