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:

Positive Emphasis

Focusing on positive aspects in communication to create a favorable impression or outcome.

Misused

Refers to something being used in the wrong way or for the wrong purpose.

Reputation

The beliefs or opinions that are generally held about someone or something's character or quality.

Positive Emphasis

Focusing communication on positive elements and constructive outcomes rather than negative aspects.