Robust Sliding-Mode Supply Policy for Periodic-Review Inventory Systems with Time-Varying Lead-Time Delay

2009 ◽  
Vol 42 (13) ◽  
pp. 703-708
Author(s):  
P. Ignaciuk ◽  
A. Bartoszewicz
Keyword(s):  
Time Delay ◽  
Lead Time ◽  
Sliding Mode ◽  
Inventory Systems ◽  
Time Varying ◽  
Periodic Review ◽  
Supply Policy ◽  
Periodic Review Inventory

scholarly journals LQ Optimal Sliding Mode Control of Periodic Review Perishable Inventories with Transportation Losses

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Piotr Leśniewski ◽  
Andrzej Bartoszewicz
Keyword(s):  
Control Strategy ◽  
Sliding Mode ◽  
Quality Criterion ◽  
Bullwhip Effect ◽  
Distribution Center ◽  
Inventory Systems ◽  
Theoretic Approach ◽  
Time Varying ◽  
Periodic Review ◽  
Distant Source

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.

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