Adaptive optimal control of the production inventory system in supply chain management with completely unknown dynamics

This paper describes the adaptive optimal control of the inventory production system with Weibull-distributed deterioration items. First of all, the dynamic model of the system is presented with all possible disturbances and uncertainties. Then, it is controlled using an adaptive and optima...

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Main Authors: Fatemeh Mahdizadeh, Hamidreza Izadbakhsh
Format: Article
Language:English
Published: Growing Science 2023-01-01
Series:Management Science Letters
Online Access:http://www.growingscience.com/msl/Vol13/msl_2023_14.pdf
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author Fatemeh Mahdizadeh
Hamidreza Izadbakhsh
author_facet Fatemeh Mahdizadeh
Hamidreza Izadbakhsh
author_sort Fatemeh Mahdizadeh
collection DOAJ
description This paper describes the adaptive optimal control of the inventory production system with Weibull-distributed deterioration items. First of all, the dynamic model of the system is presented with all possible disturbances and uncertainties. Then, it is controlled using an adaptive and optimal controller. In this method, by having numerical data from the output of the system without using its dynamic equations, an LQR controller is estimated for it. This is important and practical because in physical systems under significant disturbances and fundamental uncertainties, the dynamic equations of the system will not have the former reliability; And it is possible to change the equations of motion by adding any non-linearity so that the conventional controllers will suffer an error. Finally, it is shown that due to the nature of the system and existing uncertainties, the used method has a clear advantage over other optimal control methods and their application in optimizing the inventory production system in the supply chain.
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spelling doaj.art-acc80f0c72244bc8814fe5d28220629f2023-06-30T19:00:14ZengGrowing ScienceManagement Science Letters1923-93351923-93432023-01-0113422923410.5267/j.msl.2023.6.005Adaptive optimal control of the production inventory system in supply chain management with completely unknown dynamicsFatemeh MahdizadehHamidreza Izadbakhsh This paper describes the adaptive optimal control of the inventory production system with Weibull-distributed deterioration items. First of all, the dynamic model of the system is presented with all possible disturbances and uncertainties. Then, it is controlled using an adaptive and optimal controller. In this method, by having numerical data from the output of the system without using its dynamic equations, an LQR controller is estimated for it. This is important and practical because in physical systems under significant disturbances and fundamental uncertainties, the dynamic equations of the system will not have the former reliability; And it is possible to change the equations of motion by adding any non-linearity so that the conventional controllers will suffer an error. Finally, it is shown that due to the nature of the system and existing uncertainties, the used method has a clear advantage over other optimal control methods and their application in optimizing the inventory production system in the supply chain.http://www.growingscience.com/msl/Vol13/msl_2023_14.pdf
spellingShingle Fatemeh Mahdizadeh
Hamidreza Izadbakhsh
Adaptive optimal control of the production inventory system in supply chain management with completely unknown dynamics
Management Science Letters
title Adaptive optimal control of the production inventory system in supply chain management with completely unknown dynamics
title_full Adaptive optimal control of the production inventory system in supply chain management with completely unknown dynamics
title_fullStr Adaptive optimal control of the production inventory system in supply chain management with completely unknown dynamics
title_full_unstemmed Adaptive optimal control of the production inventory system in supply chain management with completely unknown dynamics
title_short Adaptive optimal control of the production inventory system in supply chain management with completely unknown dynamics
title_sort adaptive optimal control of the production inventory system in supply chain management with completely unknown dynamics
url http://www.growingscience.com/msl/Vol13/msl_2023_14.pdf
work_keys_str_mv AT fatemehmahdizadeh adaptiveoptimalcontroloftheproductioninventorysysteminsupplychainmanagementwithcompletelyunknowndynamics
AT hamidrezaizadbakhsh adaptiveoptimalcontroloftheproductioninventorysysteminsupplychainmanagementwithcompletelyunknowndynamics