A Machine Is Expected to Use Approximately Three Spare Parts

question 27

Essay

A machine is expected to use approximately three spare parts during its useful life.The spares cost $200 each and have no salvage value or other use.The manager has ordered five spares.Assuming a Poisson usage rate, what range of shortage cost is implied?
Ce = $200
Mean = 3 (Poisson)
Cs = ?
Assuming a Poisson-distributed variable with a mean of 3, if stocking 5 units is optimal, this implies that the optimal service level must be between .815 and .916
Thus,

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Definitions:

Expectancy Model

A psychological theory that explains motivation as a function of an individual's expectations of their ability to achieve a goal and the value they place on that achievement.

Effort And Performance

This refers to the relationship between the amount of effort put into a given task and the resulting performance level, highlighting the direct impact effort has on outcomes.

Relationship

A connection, association, or involvement between two or more entities, often characterized by a level of emotional or social linkage.

Equity Model

A theory that suggests fairness in the workplace is achieved when the ratio of inputs to outcomes is balanced among employees.