A Crew of Mechanics at the Highway Department Garage Repair

question 19

Essay

A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of λ = 7 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ= 11 vehicles per day with a repair time distribution that approximates an exponential distribution.
a. What is the utilization rate for this service system?
b. What is the average time before the facility can return a breakdown to service?
c. How much of that time is spent waiting for service?
d. How many vehicles are likely to be waiting for service at any one time?

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Definitions:

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A measure of joy or contentment individuals feel regarding their interpersonal relationships, including romantic partnerships.

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A state of intense longing for union with another. Passionate love is characterized by strong emotions, sexual desire, and anxiety.

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Refers to Robert Sternberg, a psychologist known for his theory on love and intelligence, which includes the triangular theory of love and the triarchic theory of intelligence.

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