A Crew of Mechanics at the Highway Department Garage Repair

question 29

Essay

A crew of mechanics at the Highway Department Garage repair vehicles that break down at an average of λ = 7.5 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of μ = 12 vehicles per day with a repair time distribution that approximates a negative 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 in the system at any one time?

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Definitions:

Zoonoses

Diseases that can be transmitted from animals to humans.

Lack of Anonymity

The state of being identifiable or recognisable in a context where an individual's privacy or confidentiality might be expected, often leading to potential privacy concerns or exposure to biases.

Health Professionals

Individuals who work in various fields of healthcare to promote, maintain, or restore health, including doctors, nurses, therapists, and pharmacists.

Confidentiality

The right of a client or research subject that any information revealed by that individual will not be made public or available to others.