Author(s)

Fawzy Bukhari

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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.

Production Inventory System, Adaptive Control, Liapunov Technique

F. Bukhari, "Adaptive Control of a Production-Inventory Model with Uncertain Deterioration Rate," Applied Mathematics, Vol. 2 No. 9, 2011, pp. 1170-1174. doi: 10.4236/am.2011.29162.