A Model of Inventory Control. II

  • Authors:

  • T. I. Nasirova;G. Yapar;I. M. Aliev

  • Affiliations:

  • Kardiniz Technical University, Trabzon, Turkey;Kardiniz Technical University, Trabzon, Turkey;Kardiniz Technical University, Trabzon, Turkey

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2000

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Abstract

A model of inventory control is considered. It is described by a semi-Markovian random walk with a negative drift at an angle of α (0^{\circ} \lt \alpha \lt 90^{\circ}), with positive random jumps, delays, and absorbing screens at zero and at ia 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.