Skip to main content

Neuro-genetic Approach for Solving Constrained Nonlinear Optimization Problems

  • Conference paper
Book cover Neural Information Processing (ICONIP 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4234))

Included in the following conference series:

Abstract

This paper presents a neuro-genetic approach for solving constrained nonlinear optimization problems. Genetic algorithm must its popularity to make possible cover nonlinear and extensive search spaces. On the other hand, artificial neural networks have high computational rates due to the use of a massive number of simple processing elements and the high degree of connectivity between these elements. 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 constrained nonlinear optimization problems. Simulated examples are presented to demonstrate that proposed method provides a significant improvement.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bazaraa, M.S., Sherali, H.D., Shetty, C.M.: Nonlinear Programming. Wiley, New York (1993)

    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. Liang, X.B., Wang, J.: A Recurrent Neural Network for Nonlinear Optimization With a Continuously Differentiable Objective Function and Bound Constraints. IEEE Trans. on Neural Networks 11, 1251–1262 (2000)

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

    Article  Google Scholar 

  6. 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 

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

    Google Scholar 

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

    MATH  Google Scholar 

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

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bertoni, F.C., da Silva, I.N. (2006). Neuro-genetic Approach for Solving Constrained Nonlinear Optimization Problems. In: King, I., Wang, J., Chan, LW., Wang, D. (eds) Neural Information Processing. ICONIP 2006. Lecture Notes in Computer Science, vol 4234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893295_91

Download citation

  • DOI: https://doi.org/10.1007/11893295_91

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46484-6

  • Online ISBN: 978-3-540-46485-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics