Customers arrive at Cochinito Bank according to a Poisson distribution, with a mean of 45 customers per hour. Transactions per customer take around 5 minutes and are distributed exponentially. The bank wants to use a single line and several boxes, similar to those used in airports and some dependencies. The manager is aware that customers may go to other banks if they perceive their waiting in line to be “excessive”. For this reason, the manager wants to limit the average wait time in the queue to no more than 30 seconds. How many boxes should the bank put into service?
Customers arrive at Cochinito Bank according to a Poisson distribution, with a mean of 45 customers per hour. Transactions per customer take around 5 minutes and are distributed exponentially. The bank wants to use a single line and several boxes, similar to those used in airports and some dependencies. The manager is aware that customers may go to other banks if they perceive their waiting in line to be “excessive”. For this reason, the manager wants to limit the average wait time in the queue to no more than 30 seconds. How many boxes should the bank put into service?
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 at Cochinito Bank according to a Poisson distribution, with a mean of 45 customers per hour. Transactions per customer take around 5 minutes and are distributed exponentially. The bank wants to use a single line and several boxes, similar to those used in airports and some dependencies.
The manager is aware that customers may go to other banks if they perceive their waiting in line to be “excessive”.
For this reason, the manager wants to limit the average wait time in the queue to no more than 30 seconds. How many boxes should the bank put into service?
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