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Inventory management-implied shortage cost

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Question: The policy in a military base is to have 99.7% "service level" for vehicle spare parts. If the base is short of any part, it can get it from a central warehouse in one week. Assume it costs 1 % of value of the part to carry it in inventory for a week. (For example, if a part costs $200, its inventory carrying cost is $2 per week).

What is the implied "shortage cost" for a part that costs $1000 under this policy? What is it for a part that costs $20? What are the pros and cons of this policy?

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Solution Summary

The solution calculates the implied shortage cost for an inventory policy to have 99.7% "service level" for vehicle spare parts.

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See the attached file.
It is economical to hold an additional unit in safety stock as long as its holding cost is no greater than the expected shortage cost for one additional unit short.

This means h= (1-alpha )P
or implied shortage cost = P= h / (1-alpha )
where h= holding cost
P= ...

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