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A new functional approximation to the standard normal loss integral

To determine the reorder point for continuous review inventory policies when demand during the lead time is stochastic, a common approach is to specify that a desired fraction of demand is to be met, on average. When demand during the lead time follows the normal distribution, one must determine the...

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Published in:Production and inventory management journal 1994-06, Vol.35 (2), p.58
Main Author: Keaton, Mark H
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Language:English
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description To determine the reorder point for continuous review inventory policies when demand during the lead time is stochastic, a common approach is to specify that a desired fraction of demand is to be met, on average. When demand during the lead time follows the normal distribution, one must determine the appropriate number of standard deviations, Z*, of safety stock to provide the desired fill rate. A new approximation is presented which not only provides better overall predictions of Z for all values of E(Z), but is also easier to implement.
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identifier ISSN: 0897-8336
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subjects Approximation
Demand
Inventory
Inventory management
Normal distribution
Order quantity
Standard deviation
Statistical analysis
title A new functional approximation to the standard normal loss integral
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