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A new neural network for solving quadratic programming problems with equality and inequality constraints

Author

Listed:
  • Yang, Yongqing
  • Cao, Jinde
  • Xu, Xianyun
  • Hu, Manfeng
  • Gao, Yun

Abstract

A new neural network is proposed in this paper for solving quadratic programming problems with equality and inequality constraints. Comparing with the existing neural networks for solving such problems, the proposed neural network has fewer neurons and an one-layer architecture. The proposed neural network is proven to be global convergence. Furthermore, illustrative examples are given to show the effectiveness of the proposed neural network.

Suggested Citation

  • Yang, Yongqing & Cao, Jinde & Xu, Xianyun & Hu, Manfeng & Gao, Yun, 2014. "A new neural network for solving quadratic programming problems with equality and inequality constraints," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 101(C), pages 103-112.
    • Handle: RePEc:eee:matcom:v:101:y:2014:i:c:p:103-112
    DOI: 10.1016/j.matcom.2014.02.006
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    Cited by:

    1. Léon Faure & Bastien Mollet & Wolfram Liebermeister & Jean-Loup Faulon, 2023. "A neural-mechanistic hybrid approach improving the predictive power of genome-scale metabolic models," Nature Communications, Nature, vol. 14(1), pages 1-14, December.
    2. Hosseinipour-Mahani, N. & Malek, A., 2016. "A neurodynamic optimization technique based on overestimator and underestimator functions for solving a class of non-convex optimization problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 122(C), pages 20-34.
    3. Wang, Limin & Song, Qiankun, 2020. "Pricing policies for dual-channel supply chain with green investment and sales effort under uncertain demand," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 79-93.
    4. Sha, Chunlin & Zhao, Hongyong, 2019. "A novel neurodynamic reaction-diffusion model for solving linear variational inequality problems and its application," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 57-75.
    5. Raja, Muhammad Asif Zahoor & Samar, Raza & Manzar, Muhammad Anwar & Shah, Syed Muslim, 2017. "Design of unsupervised fractional neural network model optimized with interior point algorithm for solving Bagley–Torvik equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 139-158.

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