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Hybrid Hopfield Architecture for Solving Nonlinear Programming Problems

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Neural Information Processing (ICONIP 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5863))

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Abstract

This paper presents a neurogenetic approach for solving nonlinear programming problems. Genetic algorithm must its popularity to make possible cover nonlinear and extensive search spaces. Neural networks with feedback connections provide a computing model capable of solving a large class of optimization problems. The association of a modified Hopfield network with genetic algorithm guarantees the convergence of the system to the equilibrium points, which represent feasible solutions for nonlinear programming problems.

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References

  1. Bazaraa, M.S., Sherali, H.D., Shetty, C.M.: Nonlinear Programming. Wiley, NY (1993); Bertsekas, D.P.: Nonlinear Programming, 2nd edn. Athena Scientific, Belmont (1999)

    MATH  Google Scholar 

  2. Tank, D.W., Hopfield, J.J.: Simple Neural Optimization Networks: An A/D Converter, Signal Decision Network, and a Linear Programming Circuit. IEEE Trans. on Circuits and Systems. 33, 533–541 (1986)

    Article  Google Scholar 

  3. Biro, J.J., Heszberger, Z.: An Optimization Neural Network Model with Lossy Dynamics and Time-Varying Activation Functions. In: International Joint Conference on Neural Networks, vol. 3, pp. 2245–2249 (2004)

    Google Scholar 

  4. Reifman, J., Feldman, E.E.: Multilayer Perceptron for Nonlinear Programming. Computers & Operations Research 29, 1237–1250 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  5. Hao, X., Gao, H., Sun, C., Liu, B.: A Model Solving Constrained Optimization Problem Based on the Stability of Hopfield Neural Network. Sixth World Congress on Intelligent Control and Automation 1, 2790–2795 (2006)

    Google Scholar 

  6. Xia, Y., Feng, G.: A New Neural Network for Solving Nonlinear Projection Equations. Neural Networks 20, 577–589 (2007)

    Article  MATH  Google Scholar 

  7. Hopfield, J.J.: Neurons With a Graded Response Have Collective Computational Properties Like Those of Two-State Neurons. Proc. of the Nat. Acad. of Science. 81, 3088–3092 (1984)

    Article  Google Scholar 

  8. Aiyer, S.V., Niranjan, M., Fallside, F.: A Theoretical Investigation into the Performance of the Hopfield Network. IEEE Trans. on Neural Networks. 1, 53–60 (1990)

    Article  Google Scholar 

  9. Da Silva, I.N., Amaral, W.C., Arruda, L.V.R.: Neural Approach for Solving Several Types of Optimization Problems. Journal of Optimization Theory and Applications 128, 563–580 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  10. Mitchell, M.: An Introduction to Genetic Algorithms. MIT Press, Cambridge (1996)

    Google Scholar 

  11. Luenberger, D.G.: Linear and Nonlinear Programming. Springer, New York (2003)

    MATH  Google Scholar 

  12. Vidyasagar, M.: Nonlinear Systems Analysis. Prentice-Hall, Englewood Cliffs (1993)

    MATH  Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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Bertoni, F.C., da Silva, I.N. (2009). Hybrid Hopfield Architecture for Solving Nonlinear Programming Problems. In: Leung, C.S., Lee, M., Chan, J.H. (eds) Neural Information Processing. ICONIP 2009. Lecture Notes in Computer Science, vol 5863. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10677-4_30

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  • DOI: https://doi.org/10.1007/978-3-642-10677-4_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10676-7

  • Online ISBN: 978-3-642-10677-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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