Incomplete convolutions in production and inventory models

Incomplete convolutions in production and inventory models

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Article ID: iaor19982598
Country: Germany
Volume: 19
Issue: 2
Start Page Number: 97
End Page Number: 107
Publication Date: Jan 1997
Journal: OR Spektrum
Authors: ,
Abstract:

In this paper, we study incomplete convolutions of continuous distribution functions, as they appear in the analysis of (multi-stage) production and inventory systems. Three example systems are discussed where these incomplete convolutions naturally arise. We derive explicit, non-recursive formulae for these convolutions, for the relevant case in which the underlying distributions are (mixtures of) Erlang distributions with the same scale parameter. Numerical results for one example system, the multi-stage serial inventory system, are presented to show the effectiveness of these formulae.

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