Customers arrive randomly to an airport shoe-shine stand at a rate of 8 per hour. The average length of a shoe shine is 12 minutes. There are two attendants. Arriving customers who find both chairs occupied by other customers will wait only if NO customers are waiting. Assume that service times are exponentially distributed and that the calling population is infinite. (a) VWhat is the queuing model? (b) To the nearest third decimal place, what is the expected total time in steady state that a customer spends at the stand? O (M/M/2): (GD/2/infinity), 18.333 minutes O (M/G/2): (GD/infinity/infinity), 0.467 hours none of the other choices O (M/M/2) : (GD/3/infinity), O.233 hours

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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Customers arrive randomly to an airport shoe-shine stand at a rate of 8 per hour. The average length of a shoe
shine is 12 minutes. There are two attendants. Arriving customers who find both chairs occupied by other
customers will wait only if NO customers are waiting. Assume that service times are exponentially distributed and
that the calling population is infinite. (a) VWhat is the queuing model? (b) To the nearest third decimal place, what is
the expected total time in steady state that a customer spends at the stand?
O (M/M/2): (GD/2/infınity), 18.333 minutes
O (M/G/2): (GD/infinity/infinity), 0.467 hours
none of the other choices
O (M/M/2) : (GD/3/infinity), 0.233 hours
Transcribed Image Text:Customers arrive randomly to an airport shoe-shine stand at a rate of 8 per hour. The average length of a shoe shine is 12 minutes. There are two attendants. Arriving customers who find both chairs occupied by other customers will wait only if NO customers are waiting. Assume that service times are exponentially distributed and that the calling population is infinite. (a) VWhat is the queuing model? (b) To the nearest third decimal place, what is the expected total time in steady state that a customer spends at the stand? O (M/M/2): (GD/2/infınity), 18.333 minutes O (M/G/2): (GD/infinity/infinity), 0.467 hours none of the other choices O (M/M/2) : (GD/3/infinity), 0.233 hours
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