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A Crew of Mechanics at the Highway Department Garage Repair

question 45

Essay

A crew of mechanics at the Highway Department garage repair vehicles that break down at an average of λ = 8 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 probability that the system is empty?
b.What is the probability that there is precisely one vehicle in the system?
c.What is the probability that there is more than one vehicle in the system?
d.What is the probability of 5 or more vehicles in the system?


Definitions:

Master Production Schedule

A detailed plan that outlines exactly what products and quantities will be produced and at what time to meet customer demand.

Phantom Bills

Artificial or virtual bills of materials used in manufacturing and inventory management to simplify complex assemblies and their processes.

Material Requirements Plans

A planning and inventory control system used to manage manufacturing processes by determining material requirements and schedules.

Planned Order Releases

Instructions to start the manufacture, ordering, or delivery of items in a specific period, in accordance with the production schedule.

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