Skip to main content

Performance Evaluation and Population Reduction for a Self Adaptive Hybrid Genetic Algorithm (SAHGA)

  • Conference paper
  • First Online:
Genetic and Evolutionary Computation — GECCO 2003 (GECCO 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2723))

Included in the following conference series:

Abstract

This paper examines the effects of local search on hybrid genetic algorithm performance and population sizing. It compares the performance of a self-adaptive hybrid genetic algorithm (SAHGA) to a non-adaptive hybrid genetic algorithm (NAHGA) and the simple genetic algorithm (SGA) on eight different test functions, including unimodal, multimodal and constrained optimization problems. The results show that the hybrid genetic algorithm substantially reduces required population sizes because of the reduction in population variance. The adaptive nature of the SAHGA algorithm together with the reduction in population size allow for faster solution of the test problems without sacrificing solution quality.

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 74.99
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. Bäck, T., D. Fogel and Z. Michalewicz, (eds): Handbook of Evolutionary Computation, Bristol and New York. Institute of Physics Publishing Ltd and Oxford University Press (1997)

    MATH  Google Scholar 

  2. Bracken, J. G. P. McCormick: Ausgewählte Anwendungen Nichtlinearer Programmierung. Berliner Union and Kohlhammer, Stuttgart (1970)

    Google Scholar 

  3. Branin, F. K.: A Widely Convergent Method for Finding Multiple Solutions of Simultaneous Nonlinear Equations. IBM J. Res. Develop., pp. 504–522. (1972)

    Google Scholar 

  4. Cai, X., McKinney, D. and Lasdon. L.: Solving Nonlinear Water Management Models Using a Combined Genetic Algorithm and Linear Programming Approach. Advances in Water Resources, 24, 667–676. (2001)

    Article  Google Scholar 

  5. De Jong, K. A.: An Analysis of the Behavior of a Class of Genetic Adaptive Systems. Ph.D. Dissertation, University of Michigan, Ann Arbor, MI. (1975)

    Google Scholar 

  6. Dixon, L. C. W. and Szego, G. P.: The Optimization Problem: An Introduction. In Dixon, L. C. W. and Szego, G. P. (Eds.): Towards Global Optimization II, New York: North Holland. (1978)

    Google Scholar 

  7. Espinoza, F., B. S. Minsker, and D. Goldberg. (2001). “A Self Adaptive Hybrid Genetic Algorithm”. L. Spector, E. Goodman, A. Wu, W.B. Langdon, H.-M. Voigt, M. Gen, S. Sen, M. Dorigo, S. Pezeshk, M. Garzon, and E. Burke, editors. 2001. Proceedings of the Genetic and Evolutionary Computation Conference, GECCO’2001. San Francisco, Morgan Kaufmann Publishers.

    Google Scholar 

  8. Gen, M., Ida, K., and Li, Y.: Bicriteria Transportation Problem by Hybrid Genetic Algorithm. Computers & Industrial Engineering, 35(1–2), 363–366. (1998)

    Article  Google Scholar 

  9. Harik, G.R., Cantú-Paz, E., Goldberg, D. E., and Miller, B. L.: The Gambler’s Ruin Problem, Genetic Algorithms, and the Sizing of Populations.” In Proceedings of the 1997 IEEE Conference on Evolutionary Computation, pp. 7–12, IEEE Press, New York, NY. (1997)

    Chapter  Google Scholar 

  10. Hogg, R., and Craig: A. Introduction to Mathematical Statistics. Macmillan Publishing Co., Inc., New York. (1978)

    Google Scholar 

  11. Hsiao, C. and Chang, L.: Dynamic Optical Groundwater Management With Inclusion Of Fixed Costs. Journal of Water Resources Planning and Management, ASCE, 128(1), 57–65. (2002)

    Article  MathSciNet  Google Scholar 

  12. Lin, W., Delgado-Frias, J, Gause, D., and Vassiliadis, S.: Hybrid Newton-Raphson Genetic Algorithm for the Traveling Salesman Problem. Cybernetics & Systems, 26(4), 387–412. (1995)

    Article  MATH  Google Scholar 

  13. Kim, J-H. and H. Myung: Evolutionary Programming Techniques for Constrained Optimization Problems. Evolutionary Computation, 1(2), 129–140. (1997)

    Article  Google Scholar 

  14. Rechenberg, I.: Ecolutionsstrategie: Optimierung Technischer Systeme Nach Prinzipien Der Biologishen Evolution. Frommann-Iolzboog Verlag, Stuttgart. (1973)

    Google Scholar 

  15. Reed, P., Minsker, B. S., and Goldberg, D. E.: Designing a Competent Simple Genetic Algorithm for Search and Optimization. Water Resources Research, 36(12), 3757–3761. (2000)

    Article  Google Scholar 

  16. Schwefel, H. P.: Evolutionsstrategie und Numerische Optimierung. PhD Dissertation, Department of Process Engineering, Technical University of Berlin, Berlin, Germany. (1975)

    Google Scholar 

  17. Schwefel, H. P.: Numerical Optimization of Computer Models. John Wiley & Sons, Chichester-New York-Brisbane-Toronto, (1981)

    MATH  Google Scholar 

  18. Spitzer, F.: Principles of random walk. D. Van Nostrand Company, Inc. (1964)

    Google Scholar 

  19. Thierens, D., Goldberg, D. E., and Guimaraes Pereira: A. Domino Convergence, Drift, and the Temporal-Salience Structure of Problems. In The 1998 IEEE International Conference on Evolutionary Computation Proceedings, pp. 535–540, IEEE Press, New York, NY, (1998)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Espinoza, F.P., Minsker, B.S., Goldberg, D.E. (2003). Performance Evaluation and Population Reduction for a Self Adaptive Hybrid Genetic Algorithm (SAHGA). In: Cantú-Paz, E., et al. Genetic and Evolutionary Computation — GECCO 2003. GECCO 2003. Lecture Notes in Computer Science, vol 2723. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45105-6_104

Download citation

  • DOI: https://doi.org/10.1007/3-540-45105-6_104

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40602-0

  • Online ISBN: 978-3-540-45105-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics