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-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 6
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1023/a:1009409410974
  • Dergi Adı: CYBERNETICS AND SYSTEMS ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.865-878
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

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.