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A new Tseng method for supply chain network equilibrium model.

Zhuang Shan1, Leyou Zhang1

  • 1School of Mathematics and Statistics, Xidian University, Xi'an 710126, China.

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Summary
This summary is machine-generated.

A new subgradient extragradient method efficiently solves supply chain equilibrium problems. This adaptive algorithm reduces computational complexity and outperforms existing methods in speed and iteration count.

Keywords:
accelerated techniquecomputational complexitysupply chain network equilibrium modeltseng extragradient projection algorithmvariational inequality problem

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Area of Science:

  • Operations Research
  • Optimization Theory

Background:

  • Supply chain network equilibrium problems are complex.
  • Existing algorithms may suffer from high computational complexity.

Purpose of the Study:

  • Introduce a novel subgradient extragradient method.
  • Improve efficiency and reduce computational load for supply chain equilibrium problems.

Main Methods:

  • Developed a subgradient extragradient method with adaptive parameter selection.
  • Incorporated a one-step subgradient projection operator.
  • Analyzed algorithm convergence theoretically.

Main Results:

  • The proposed method simplifies calculations by transforming projection difficulties.
  • Theoretical convergence proofs demonstrate algorithmic advantages.
  • Applied the algorithm to a specific supply chain model.

Conclusions:

  • The new algorithm is computationally more efficient than existing methods.
  • Achieved significant reductions in CPU running time and iteration steps.
  • Offers a practical and effective solution for supply chain equilibrium.