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E. Khemlnitsky and Y. Gerchak, “Optimal Control Approach to Production Systems with Inventory Level Dependent Demand,” IIE Transactions on Automatic Control, Vol. 47, No. 3, 2002, pp. 289-292. doi:10.1109/9.983360

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.