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A Sensitivity Analysis of the Logarithmic-Poisson-Gamma Distribution.
W Steven Demmy, Steven Nahmias
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Abstract
The Logarithmic-Poisson-Gamma (LPG) distribution describes the probability distribution for demand in a lead time for the situation in which customers arrive according to a Poisson process, requisition sizes are described by the Logarithmic distribution, and led times are Gamma distributed. This paper presents plots of the probability mass functions for the LPG and for an associated scaled binomial approximation to the LPG. (Author)