L. Tadj, A. Sarhan and A. El-Gohary, “Optimal Control of an Inventory System with Ameliorating and Deteriorating Items,” Journal of Applied Sciences, Vol. 10, 2008, pp. 243-255.
has been cited by the following article:
TITLE: Adaptive Control of a Production-Inventory Model with Uncertain Deterioration Rate
AUTHORS: Fawzy Bukhari
KEYWORDS: Production Inventory System, Adaptive Control, Liapunov Technique
JOURNAL NAME: Applied Mathematics, Vol.2 No.9, September 19, 2011
ABSTRACT: This paper studied a continuous-time model of a production maintenance system in which a manufacturing firm produces a single product selling some and stocking the remaining. The problem of adaptive control of a production-maintenance system with unknown deterioration has been presented. Using Liapunov technique, the production rate and updating rule of deterioration rate are derived as non-linear functions of inventory level perturbation. Numerical analysis for the system has been presented for a set of parameter values and demand rate.