Suppose that a fire station receives an average of 24 requests for fire pumps every hour. Each request causes a fire pump to be busy for an average of 20 minutes. How many pumps must the fire department have to have at most a 1% chance that it will be unable to respond to a request?

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 37P
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Suppose that a fire station receives an average of 24 requests for fire pumps every hour. Each request causes a fire pump to be busy for an average of 20 minutes. How many pumps must the fire department have to have at most a 1% chance that it will be unable to respond to a request?

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