A model of inventory control. II

Nasirova T., Yapar G., Aliev I.

CYBERNETICS AND SYSTEMS ANALYSIS, vol.36, no.6, pp.865-878, 2000 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 6
  • Publication Date: 2000
  • Doi Number: 10.1023/a:1009409410974
  • Journal Name: CYBERNETICS AND SYSTEMS ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.865-878
  • Karadeniz Technical University Affiliated: No

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 alpha (0 degrees < < 90), 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.