A Crew of Mechanics at the Highway Department Garage Repair

question 23

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= 11 vehicles per day with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $300 per day. The cost associated with lost productivity from the breakdown is estimated at $150 per vehicle per day (or any fraction thereof). Which is cheaper, the existing system with one service crew, or a revised system with two service crews?

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Definitions:

Data

Information processed or stored by a computer or device, essential for tasks such as analysis, decision making, and control in automation systems.

Routine

A sequence of instructions or operations performed repeatedly in a control system or software to accomplish a specific task.

Debt Finance

A method of financing where funds are borrowed and are expected to be paid back with interest.

Equity Finance

A method of raising capital through the sale of shares in a company, giving shareholders ownership interests.