A model of inventory control. II


Nasirova T., Yapar G., Aliev I.

CYBERNETICS AND SYSTEMS ANALYSIS, cilt.36, sa.6, ss.865-878, 2000 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Konu: 6
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1023/a:1009409410974
  • Dergi Adı: CYBERNETICS AND SYSTEMS ANALYSIS
  • Sayfa Sayıları: ss.865-878

Özet

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.