Some results on bellman equations of optimal production control in a stochastic manufacturing system
Journal of Probability and Statistics, 2009 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2009
- Doi Numarası: 10.1155/2009/370217
- Dergi Adı: Journal of Probability and Statistics
- Derginin Tarandığı İndeksler: Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Gelişim Üniversitesi Adresli: Hayır
Özet
The paper studies the production inventory problem of minimizing the expected discounted present value of production cost control in a manufacturing system with degenerate stochastic demand. We establish the existence of a unique solution of the Hamilton-Jacobi-Bellman (HJB) equations associated with this problem. The optimal control is given by a solution to the corresponding HJB equation. © 2009 A. Baten and A. A. Kamil.