A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of 15 vehicles per hour (approximately Poisson in nature). The mechanic crew can service an average of 3 vehicles every 10 minutes with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $100 per hour. The cost associated with lost productivity from the breakdown is estimated at $25 per vehicle per hour (or any fraction thereof). Which is cheaper, the existing system with one service crew, or a revised system with two service crews? The average waiting time for adding the second crew is 0.02.
A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of 15 vehicles per hour (approximately Poisson in nature). The mechanic crew can service an average of 3 vehicles every 10 minutes with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $100 per hour. The cost associated with lost productivity from the breakdown is estimated at $25 per vehicle per hour (or any fraction thereof). Which is cheaper, the existing system with one service crew, or a revised system with two service crews? The average waiting time for adding the second crew is 0.02.
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 26P
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A crew of mechanics at the Highway Department garage repair vehicles that break down at
an average of 15 vehicles per hour (approximately Poisson in nature). The mechanic crew can
service an average of 3 vehicles every 10 minutes with a repair time distribution that
approximates an exponential distribution. The crew cost is approximately $100 per hour. The
cost associated with lost productivity from the breakdown is estimated at $25 per vehicle per
hour (or any fraction thereof). Which is cheaper, the existing system with one service crew, or
a revised system with two service crews? The average waiting time for adding the second crew
is 0.02.
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