LQ Optimal Sliding Mode Control of Periodic Review Perishable Inventories with Transportation Losses
Joint Authors
Leśniewski, Piotr
Bartoszewicz, Andrzej
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-07
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this work we apply the control-theoretic approach to design a new replenishment strategy for inventory systems with perishable stock.
Such systems are supposed to effectively satisfy an unknown and permanently time-varying consumers’ demand.
The main obstacle of achieving this goal is the need of obtaining supplies from a distant source.
During the supply process goods are inevitably lost due to various causes.
Furthermore, those goods which successfully arrive at the distribution center still deteriorate while stored in its warehouse.
We explicitly take into account both of these factors in designing our control strategy.
We propose a sliding mode strategy and choose its parameters to minimize a quadratic quality criterion.
This approach allows us to ameliorate the bullwhip effect (the amplification of the demand variations when going up in the supply chain).
The control strategy proposed in this work ensures bounded orders, guarantees full consumers’ demand satisfaction, and eliminates the risk of exceeding the warehouse capacity.
These properties are stated in three theorems and proved in the paper.
American Psychological Association (APA)
Leśniewski, Piotr& Bartoszewicz, Andrzej. 2013. LQ Optimal Sliding Mode Control of Periodic Review Perishable Inventories with Transportation Losses. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009050
Modern Language Association (MLA)
Leśniewski, Piotr& Bartoszewicz, Andrzej. LQ Optimal Sliding Mode Control of Periodic Review Perishable Inventories with Transportation Losses. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1009050
American Medical Association (AMA)
Leśniewski, Piotr& Bartoszewicz, Andrzej. LQ Optimal Sliding Mode Control of Periodic Review Perishable Inventories with Transportation Losses. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1009050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009050