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.