A Crew of Mechanics at the Highway Department Garage Repair

question 47

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 = 10 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 in the system at any one time?

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Definitions:

Out Guide

A placeholder used in filing systems to mark the location of a file that has been removed, ensuring that files are returned to their correct place.

Filing System

An organized method for storing documents, files, and information to enable easy retrieval.

File Sorter

A desktop or electronic tool used for organizing documents or digital files in a specific order for ease of access.

Active File

A file used on a consistent basis.