Desired Trajectory-Based Sliding Mode Control for Multiple Perishable Inventory Systems

This paper tackles the problem of supply chain management for multiple warehouse perishable inventory system. The study takes into account a single product perishable inventory system combined of multiple smaller warehouses with one distribution warehouse as a supplier. Each of the endpoint warehous...

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Main Authors: Tymoteusz Zwierzchowski, Katarzyna Adamiak
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/11077136/
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author Tymoteusz Zwierzchowski
Katarzyna Adamiak
author_facet Tymoteusz Zwierzchowski
Katarzyna Adamiak
author_sort Tymoteusz Zwierzchowski
collection DOAJ
description This paper tackles the problem of supply chain management for multiple warehouse perishable inventory system. The study takes into account a single product perishable inventory system combined of multiple smaller warehouses with one distribution warehouse as a supplier. Each of the endpoint warehouses realizes a predefined demand profile, resulting from its contractual obligations, plus answers to the random customers. As the demand is partially a priori known, their delivery schedule may be shaped in advance. Moreover, in each of the warehouses some product may perish during the delivery and storage process, which must be accounted for and appropriately compensated. The endpoint facilities are all supplied from one main warehouse, with multiple suppliers, characterized by different lead times. The main warehouse’s demand is a sum of the resupply orders of its dependent facilities. Therefore, the paper proposes a desired trajectory based sliding mode control strategy for all the warehouses in the system. The paper shows that application of a reference trajectory following control law ensures full demand satisfaction in all parts of the system while significantly simplifying the control design process. The features of the proposed control strategy are finally demonstrated with a simulation example.
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spelling doaj-art-a586d15d333347db96901271c0ee71ba2025-08-20T03:12:14ZengIEEEIEEE Access2169-35362025-01-011312008512010110.1109/ACCESS.2025.358781211077136Desired Trajectory-Based Sliding Mode Control for Multiple Perishable Inventory SystemsTymoteusz Zwierzchowski0https://orcid.org/0000-0001-9578-727XKatarzyna Adamiak1https://orcid.org/0000-0002-6499-1793Institute of Automatic Control, Lodz University of Technology, Łódź, PolandInstitute of Automatic Control, Lodz University of Technology, Łódź, PolandThis paper tackles the problem of supply chain management for multiple warehouse perishable inventory system. The study takes into account a single product perishable inventory system combined of multiple smaller warehouses with one distribution warehouse as a supplier. Each of the endpoint warehouses realizes a predefined demand profile, resulting from its contractual obligations, plus answers to the random customers. As the demand is partially a priori known, their delivery schedule may be shaped in advance. Moreover, in each of the warehouses some product may perish during the delivery and storage process, which must be accounted for and appropriately compensated. The endpoint facilities are all supplied from one main warehouse, with multiple suppliers, characterized by different lead times. The main warehouse’s demand is a sum of the resupply orders of its dependent facilities. Therefore, the paper proposes a desired trajectory based sliding mode control strategy for all the warehouses in the system. The paper shows that application of a reference trajectory following control law ensures full demand satisfaction in all parts of the system while significantly simplifying the control design process. The features of the proposed control strategy are finally demonstrated with a simulation example.https://ieeexplore.ieee.org/document/11077136/Control designdiscrete time systemsperishable inventory controlmodel reference controlsliding mode control
spellingShingle Tymoteusz Zwierzchowski
Katarzyna Adamiak
Desired Trajectory-Based Sliding Mode Control for Multiple Perishable Inventory Systems
IEEE Access
Control design
discrete time systems
perishable inventory control
model reference control
sliding mode control
title Desired Trajectory-Based Sliding Mode Control for Multiple Perishable Inventory Systems
title_full Desired Trajectory-Based Sliding Mode Control for Multiple Perishable Inventory Systems
title_fullStr Desired Trajectory-Based Sliding Mode Control for Multiple Perishable Inventory Systems
title_full_unstemmed Desired Trajectory-Based Sliding Mode Control for Multiple Perishable Inventory Systems
title_short Desired Trajectory-Based Sliding Mode Control for Multiple Perishable Inventory Systems
title_sort desired trajectory based sliding mode control for multiple perishable inventory systems
topic Control design
discrete time systems
perishable inventory control
model reference control
sliding mode control
url https://ieeexplore.ieee.org/document/11077136/
work_keys_str_mv AT tymoteuszzwierzchowski desiredtrajectorybasedslidingmodecontrolformultipleperishableinventorysystems
AT katarzynaadamiak desiredtrajectorybasedslidingmodecontrolformultipleperishableinventorysystems