Skip to main content

Bio-inspired Optimization Methods on Graphic Processing Unit for Minimization of Complex Mathematical Functions

  • Chapter
Recent Advances on Hybrid Intelligent Systems

Part of the book series: Studies in Computational Intelligence ((SCI,volume 451))

Abstract

Although GPUs have been traditionally used only for computer graphics, a recent technique called GPGPU (General-purpose computing on graphics processing units) allows the GPUs to perform numerical computations usually handled by CPU. The advantage of using GPUs for general purpose computation is the performance speed up that can be achieved due to the parallel architecture of these devices. This paper describes the use of Bio-Inspired Optimization Methods as Particle Swarm Optimization and Genetic Algorithms on GPUs to demonstrate the performance that can be achieved using this technology with regard to use CPU primarily.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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. Man, K.F., Tang, K.S., Kwong, S.: Genetic Algorithms: Concepts and Designs. Springer (1999)

    Google Scholar 

  2. Eberhart, R.C., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micromachine and Human Science, Nagoya, Japan, pp. 39–43 (1995)

    Google Scholar 

  3. Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, Piscataway, NJ, pp. 1942–1948 (1995)

    Google Scholar 

  4. Holland, J.H.: Adaptation in natural and artificial system. The University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

  5. Valdez, F., Melin, P.: Parallel Evolutionary Computing using a cluster for Mathematical Function Optimization. In: NAFIPS, San Diego CA, USA, pp. 598–602 (June 2007)

    Google Scholar 

  6. Castillo, O., Melin, P.: Hybrid intelligent systems for time series prediction using neural networks, fuzzy logic, and fractal theory. IEEE Transactions on Neural Networks 13(6), 1395–1408 (2002)

    Article  Google Scholar 

  7. Fogel, D.B.: An introduction to simulated evolutionary optimization. IEEE Transactions on Neural Networks 5(1), 3–14 (1994)

    Article  Google Scholar 

  8. Goldberg, D.: Genetic Algorithms. Addison Wesley (1988)

    Google Scholar 

  9. Emmeche, C.: Garden in the Machine. The Emerging Science of Artificial Life, p. 114. Princeton University Press (1994)

    Google Scholar 

  10. Valdez, F., Melin, P.: Parallel Evolutionary Computing using a cluster for Mathematical Function Optimization. In: NAFIPS, San Diego CA, USA, pp. 598–602 (June 2007)

    Google Scholar 

  11. Angeline, P.J.: Using Selection to Improve Particle Swarm Optimization. In: Proceedings 1998 IEEE World Congress on Computational Intelligence, Anchorage, Alaska, pp. 84–89. IEEE (1998)

    Google Scholar 

  12. Back, T., Fogel, D.B., Michalewicz, Z. (eds.): Handbook of Evolutionary Computation. Oxford University Press (1997)

    Google Scholar 

  13. Montiel, O., Castillo, O., Melin, P., Rodriguez, A., Sepulveda, R.: Human evolutionary model: A new approach to optimization. Inf. Sci. 177(10), 2075–2098 (2007)

    Article  Google Scholar 

  14. Castillo, O., Valdez, F., Melin, P.: Hierarchical Genetic Algorithms for topology optimization in fuzzy control systems. International Journal of General Systems 36(5), 575–591 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  15. Kim, D., Hirota, K.: Vector control for loss minimization of induction motor using GA–PSO. Applied Soft Computing 8, 1692–1702 (2008)

    Article  Google Scholar 

  16. Liu, H., Abraham, A.: Scheduling jobs on computational grids using a fuzzy particle swarm optimization algorithm. Future Generation Computer Systems, Article in press

    Google Scholar 

  17. Mohammed, O., Ali, S., Koh, P., Chong, K.: Design a PID Controller of BLDC Motor by Using Hybrid Genetic-Immune. Modern Applied Science 5(1) (February 2011)

    Google Scholar 

  18. Kirkpatrick, S., Gelatt, C.J., Vecchi, M.: Optimization by Simulated Annealing. Science 220(4598), 671–680 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  19. Valdez, F., Melin, P., Castillo, O.: An improved evolutionary method with fuzzy logic for combining Particle Swarm Optimization and Genetic Algorithms. Appl. Soft Comput. 11(2), 2625–2632 (2011)

    Article  Google Scholar 

  20. Hooke, R., Jeeves, T.A.: Direct search’ solution of numerical and statistical problems. Journal of the Association for Computing Machinery (ACM) 8(2), 212–229 (1961)

    Article  MATH  Google Scholar 

  21. Davidon, W.C.: Variable metric method for minimization. SIAM Journal on Optimization 1(1), 1–17 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  22. Sanders, J., Kandrot, E.: CUDA BY EXAMPLE An Introduction to General-Purpose GPU Programming. Addisson Wesley (2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fevrier Valdez .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Valdez, F., Melin, P., Castillo, O. (2013). Bio-inspired Optimization Methods on Graphic Processing Unit for Minimization of Complex Mathematical Functions. In: Castillo, O., Melin, P., Kacprzyk, J. (eds) Recent Advances on Hybrid Intelligent Systems. Studies in Computational Intelligence, vol 451. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33021-6_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-33021-6_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33020-9

  • Online ISBN: 978-3-642-33021-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics