Inventory-production control systems with gumbel distributed deterioration
International Journal of Applied Mathematics and Statistics, cilt.34, sa.4, ss.30-51, 2013 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 34 Sayı: 4
- Basım Tarihi: 2013
- Dergi Adı: International Journal of Applied Mathematics and Statistics
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.30-51
- Anahtar Kelimeler: Gumbel distribution, Inventory-production model, Optimal control, Perishable items, Sensitivity analysis
- İstanbul Gelişim Üniversitesi Adresli: Hayır
Özet
This paper is concerned with the optimal control of inventory-production system subject to Gumbel distributed deterioration items with applications to optimal control theory. We successfully formulated the model as a linear optimal control problem and obtained an explicit solution using Pontryagin maximum principle. The optimality conditions are derived in this case. It is then illustrated with the help of examples. © 2013 by CESER Publications.