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Active management strategy for supply chain system using nonlinear control synthesis.

Xiao Xu1, Hwan-Seong Kim2, Sam-Sang You3

  • 1Antai College of Economics and Management, Shanghai Jiao Tong University, Xuhui Campus, Shanghai, China.

International Journal of Dynamics and Control
|March 21, 2022
PubMed
Summary

This study introduces a novel fractional order adaptive sliding mode control (FO-ASMC) to manage chaotic behaviors in supply chains, effectively synchronizing systems and reducing the bullwhip effect for optimized resource management.

Keywords:
Bullwhip effectChaos synchronizationFractional calculusNonlinear systemSliding mode controlSupply chain

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Area of Science:

  • Operations Research and Supply Chain Management
  • Nonlinear Dynamics and Control Theory
  • System Dynamics Modeling

Background:

  • Supply chain systems frequently exhibit nonlinear dynamics and chaotic phenomena, notably the bullwhip effect, which amplifies demand variability and causes resource waste.
  • Traditional modeling approaches struggle with the inherent uncertainty and chaotic behaviors prevalent in real-world supply chains.
  • The bullwhip effect significantly impacts supply chain efficiency, leading to unnecessary consumption and resource depletion.

Purpose of the Study:

  • To develop an effective strategy for managing chaotic supply chains and mitigating the bullwhip effect.
  • To apply modern control theory for multi-stage supply chain optimization, enhancing resilience against disruptions.
  • To investigate the application of chaos synchronization for regulating supply chain systems amidst market uncertainties.

Main Methods:

  • Construction of four-dimensional differential equations to model a multi-echelon supply chain exhibiting chaotic behaviors and the bullwhip effect.
  • Implementation of a novel fractional order adaptive sliding mode control (FO-ASMC) algorithm for supply chain management and optimization.
  • Application of a chaos synchronization scheme to stabilize supply chain dynamics under market volatility.

Main Results:

  • The developed FO-ASMC algorithm effectively synchronizes chaotic systems within advanced supply chain networks.
  • Chaos synchronization is demonstrated to be a viable method for regulating supply chain systems impacted by extensive market uncertainties.
  • The proposed advanced management optimization framework successfully connects demand to supply and planning to execution across supply chains.

Conclusions:

  • Fractional order adaptive sliding mode control offers a robust solution for managing complex and chaotic supply chain dynamics.
  • Chaos synchronization is a powerful tool for enhancing the stability and efficiency of supply chains facing unpredictable market conditions.
  • This research introduces intelligent applications for integrated supply chain management, bridging operational and strategic levels.