Übersicht
Die Entwicklung der stochastischen Lagerhaltungstheorie für Mehr-Produkt und Mehr-Lager Modelle wird an Hand der in der Literatur veröffentlichten Arbeiten aufgezeigt. Für die Mehr-Produkt Modelle sind dies die Idee einer (s,c,S)-Politik, die Anwendung der Dynamischen Programmierung, sowie Johnsons Bestimmung einer (σ,S)-Politik mit Hilfe der Entscheidungsiteration, Für Mehr-Lager Probleme basieren die Modelle überwiegend auf der Strafkostenidee von Clark-Scarf. Die vielversprechende Analyse der Zustandswahrscheinlichkeiten wird zum ersten Mal von Sivazlian auf ein Zwei-Produkt Modell angewandt.
Summary
This paper surveys the development of stochastic inventory theory for multi-product and multi-echelon models. For multi-product models the approaches are based on the idea of an (s,c,S)-policy, the use of functional equation technique of dynamic programming and Johnson’s policy improvement scheme for computing an optimal (σ,S)-policy. For multi-echelon models most of the work is based on the idea of additional penalty costs introduced by Clark-Scarf. The promising stationary analysis is first used by Sivazlian for a two-product model.
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Literatur
I. Klassische Arbeiten
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Hochstädter, D. (1971). Neuere Entwicklung der stochastischen Lagerhaltungstheorie. In: Beckmann, M. (eds) Unternehmensforschung Heute. Lecture Notes in Operations Research and Mathematical Systems, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80630-8_3
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