A model of inventory control


Nasirova T., Yapar J., Aliev I.

CYBERNETICS AND SYSTEMS ANALYSIS, cilt.35, ss.553-562, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 35 Konu: 4
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1007/bf02835852
  • Dergi Adı: CYBERNETICS AND SYSTEMS ANALYSIS
  • Sayfa Sayıları: ss.553-562

Özet

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.