Elena Guijarro García, María Eugenia Babiloni Griñón, Manuel Cardós Carboneras, M. Albarracín Marín-Blázquez
One of the most common criteria used to measure the performance of a inventory system is the fill rate. In the literature we find two easy-to-computeapproaches: the traditional and the Hadley-Whitin approximations, but unfortunatelythey only apply for normally distributed demand. In practice stockmanagers can use any of them, even when demand is not normal or discrete. This paper assesses the performance of these approximations in a periodic inventorysystem for different demand scenarios such as intermittent, erratic, lumpy andsmooth. However, in the discrete context, simulation results show that bothapproximations present a significant bias including negative fill rate values. In keeping with these results, we re-formulate both approximations to be able to copewith any discrete demand distribution and asses their performance. In this case,simulation results show that the proposed discrete formulation of the Hadley-Whitin approximation seems to avoid the systematic bias observed before.
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