The Riverton Police Department has eight patrol cars thatare on constant call 24 hours per day. A patrol car requires repairs every 30 days, on average, according to an exponen-tial distribution. When a patrol car is in need of repair it is driven into the motor pool, which has a repairperson on duty at all times. The average time required to repair a pa-trol car is 12 hours (exponentially distributed). Determine the average time a patrol car is not available for use and theaverage number of patrol cars out of service at any onetime, and indicate if the repair service seems adequate.

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 18P
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The Riverton Police Department has eight patrol cars that
are on constant call 24 hours per day. A patrol car requires

repairs every 30 days, on average, according to an exponen-
tial distribution. When a patrol car is in need of repair it is

driven into the motor pool, which has a repairperson on

duty at all times. The average time required to repair a pa-
trol car is 12 hours (exponentially distributed). Determine

the average time a patrol car is not available for use and the
average number of patrol cars out of service at any one
time, and indicate if the repair service seems adequate.

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