A Model of Inventory Control. II

A Model of Inventory Control. II

A model of inventory control is considered. It is described by a semi-Markovian random walk with a negative drift at an angle of [alpha] (0^{\circ} \lt \alpha \lt 90^{\circ}), with positive random jumps, delays, and absorbing screens at zero and at a > 0. The Laplace transformation is found for t...

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Veröffentlicht in:Cybernetics and systems analysis 2000-11, Vol.36 (6), p.865
Hauptverfasser: Nasirova, T I, Yapar, G, Aliev, I M
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Commodities
Inventory control
Markov analysis
Random variables
Random walk theory
Studies
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Zusammenfassung:A model of inventory control is considered. It is described by a semi-Markovian random walk with a negative drift at an angle of [alpha] (0^{\circ} \lt \alpha \lt 90^{\circ}), with positive random jumps, delays, and absorbing screens at zero and at a > 0. The Laplace transformation is found for the distribution of the first moment of the stoking up of a warehouse, and its first and second moments are explicitly obtained. [PUBLICATION ABSTRACT]
ISSN:1060-0396
1573-8337
DOI:10.1023/A:1009409410974