Savemore has 4 check-out counters. Prediction says that the duration of customer transaction is exponentially distributed with a mean of 4.9 minutes. In the peak hour, customer arrivals are exponentially distributed with a mean arrival rate of 17.3 customers/hr. Determine the probability that a customer will wait in a queue? Answer in four decimal places.

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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Savemore has 4 check-out counters. Prediction says that the duration of customer transaction is exponentially distributed with a mean of 4.9 minutes. In the peak hour, customer arrivals are exponentially distributed with a mean arrival rate of 17.3 customers/hr. Determine the probability that a customer will wait in a queue? Answer in four decimal places.
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