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Adaptive Control of a Production-Inventory Model with Uncertain Deterioration Rate
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Applied Mathematics·Volume 02 (2011)·Pages 1170–1174·Published 29 September 2011·DOI10.4236/am.2011.29162
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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.
KeywordsProduction Inventory SystemAdaptive ControlLiapunov Technique
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