A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter.  The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 10 vehicles per day with a repair time distribution that approximates a negative exponential distribution.  Assume an 8 hour day. What is the system utilization?  Group of answer choices 0.60 0.17 0.40 0.67

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 30P
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A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter.  The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 10 vehicles per day with a repair time distribution that approximates a negative exponential distribution.  Assume an 8 hour day.

What is the system utilization? 

Group of answer choices
0.60
0.17
0.40
0.67
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