Incomplete convolutions in production and inventory models

Geert-Jan van Houtum, Willem H.M. Zijm

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)
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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, nonrecursive 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.
Original languageEnglish
Pages (from-to)97-107
JournalOR Spectrum = OR Spektrum
Issue number2
Publication statusPublished - 1997


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