A model of inventory control

Nasirova T., Yapar J., Aliev I.

CYBERNETICS AND SYSTEMS ANALYSIS, cilt.35, sa.4, ss.553-562, 1999 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 4
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1007/bf02835852
  • Dergi Adı: CYBERNETICS AND SYSTEMS ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.553-562
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

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.