Discrete-time inventory models with deteriorating items

M. D. S. Aliyu · E.K. Boukas

20 citations0/0 files storedInternational Journal of Systems Science

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Supply Chain and Inventory Management Stability and Control of Uncertain Systems Advanced Control Systems Optimization

Abstract

The discrete-time inventory control problem for deteriorating items with deterministic or stochastic demand is considered. The control problem is stated as an optimization problem with constrained control variables. The linear quadratic (LQ) criterion is used to derive the optimal control policy for both deterministic and stochastic demand cases. In the presence of bounded uncertainties, a guaranteed cost control law is also proposed. A numerical example is provided to show the usefulness of the theoretical results.

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1998Analysis of deteriorating inventory/production systems using a linear quadratic regulator

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2001Recent trends in modeling of deteriorating inventory 2021Linear-quadratic optimal control of multi-modal distribution systems with imperfect channels*

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