A model of inventory control


Nasirova T., Yapar J., Aliev I.

CYBERNETICS AND SYSTEMS ANALYSIS, vol.35, no.4, pp.553-562, 1999 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 4
  • Publication Date: 1999
  • Doi Number: 10.1007/bf02835852
  • Journal Name: CYBERNETICS AND SYSTEMS ANALYSIS
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.553-562

Abstract

A model of inventory control is considered. It is described by a semi-Markov random walk with a negative drift at an angle of 0 < alpha < 90 degrees, with positive random jumps, a delay, an absorbing screen at zero, and a reflecting screen for a > 0 at an angle alpha. The Laplace transformation is found for the distribution of the first moment storehouse exhaustion, and the first and the second moments are explicitly obtained.