Skip to main content

A Novel Restart Strategy for Solving Complex Multi-modal Optimization Problems Using Real-Coded Genetic Algorithm

  • Conference paper
  • First Online:
Book cover Intelligent Systems Design and Applications (ISDA 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 736))

Abstract

Genetic algorithm (GA) is one of the most popular and robust stochastic optimization tools used in various fields of research and industrial applications. It had been applied for solving many global optimization problems for the last few decades. However, it has a poor theoretical assurance to reach the globally optimal solutions, while solving the complex multi-modal problems. Restart strategy plays an important role in overcoming this limitation of a GA to a certain extent. Although there are a few restart methods available in the literature, these are not adequate. In this paper, a novel restart strategy is proposed for solving complex multi-modal optimization problems using a real-coded genetic algorithm (RCGA). To show the superiority of the proposed scheme, ten complex multi-modal test functions have been selected from the CEC 2005 benchmark functions and its results are compared with that of the other strategies.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight 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

References

  1. Liberti, L., Kucherenko, S.: Comparison of deterministic and stochastic approaches to global optimization. Int. Trans. Oper. Res. 12(3), 263–285 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  2. Moles, C.G., Mendes, P., Banga, J.R.: Parameter estimation in biochemical pathways: a comparison of global optimization methods. Genome Res. 13(11), 2467–2474 (2003)

    Article  Google Scholar 

  3. Holland, J.H.: Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

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

    Google Scholar 

  5. Das, S., Suganthan, P.N.: Differential evolution: a survey of the state-of-the-art. IEEE Trans. Evol. Comput. 15(1), 4–31 (2011)

    Article  Google Scholar 

  6. Dorigo, M., Maniezzo, V., Colorni, A.: Ant system: optimization by a colony of cooperating agents. IEEE Trans. Syst. Man Cybern. Part B (Cybern.) 26(1), 29–41 (1996)

    Google Scholar 

  7. Yang, X.-S., Deb, S.: Engineering optimisation by cuckoo search. Int. J. Math. Model. Numer. Optim. 1(4), 330–343 (2010)

    MATH  Google Scholar 

  8. Yang, X.-S.: A new metaheuristic bat-inspired algorithm. In: González, J.R., Pelta, D.A., Cruz, C., Terrazas, G., Krasnogor, N. (eds.) Nature Inspired Cooperative Strategies for Optimization (NICSO 2010), pp. 65–74. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  9. Wang, Y., Huang, J., Dong, W.S., Yan, J.C., Tian, C.H., Li, M., Mo, W.T.: Two-stage based ensemble optimization framework for large-scale global optimization. Eur. J. Oper. Res. 228(2), 308–320 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  10. Ng, C.-K., Li, D.: Test problem generator for unconstrained global optimization. Comput. Oper. Res. 51(Suppl. C), 338–349 (2014)

    Google Scholar 

  11. dos Santos Coelho, L., Ayala, H.V.H., Mariani, V.C.: A self-adaptive chaotic differential evolution algorithm using gamma distribution for unconstrained global optimization. Appl. Math. Comput. 234(Suppl. C), 452–459 (2014)

    Google Scholar 

  12. Boender, C.G.E., Romeijin, H.E.: Stochastic methods. In: Horst, R., Pardalos, P.M. (eds.) Handbook of Global Optimization. Kluwer Academic Publishers, Boston (1995)

    Google Scholar 

  13. Suganthan, P.N., Hansen, N., Liang, J.J., Deb, K., Chen, Y., Auger, A., Tiwari, S.: Problem definitions and evaluation criteria for the CEC 2005 special session on real-parameter optimization. Technical report, Nanyang Technological University, Singapore, May 2005 and KanGAL Report 2005, IIT Kanpur, India (2005)

    Google Scholar 

  14. Ghannadian, F., Alford, C., Shonkwiler, R.: Application of random restart to genetic algorithms. Inf. Sci. 95(1), 81–102 (1996)

    Article  Google Scholar 

  15. Beligiannis, G.N., Tsirogiannis, G.A., Pintelas, P.E.: Restartings: a technique to improve classic genetic algorithms’ performance. In: International Conference on Computational Intelligence 2004, pp. 404–407 (2004)

    Google Scholar 

  16. Hughes, J.A., Houghten, S., Ashlock, D.: Recentering and restarting a genetic algorithm using a generative representation for an ordered gene problem. Int. J. Hybrid Intell. Syst. 11(4), 257–271 (2014)

    Article  Google Scholar 

  17. Dao, S.D., Abhary, K., Marian, R.: An improved structure of genetic algorithms for global optimisation. Prog. Artif. Intell. 5(3), 155–163 (2016)

    Article  Google Scholar 

  18. Suksut, K., Kerdprasop, K., Kerdprasop, N.: Support vector machine with restarting genetic algorithm for classifying imbalanced data. Int. J. Futur. Comput. Commun. 6(3), 92 (2017)

    Google Scholar 

  19. Goldberg, D.E., Deb, K.: A comparative analysis of selection schemes used in genetic algorithms. Found. Genet. Algorithms 1, 69–93 (1991)

    MathSciNet  Google Scholar 

  20. Agrawal, R.B., Deb, K.: Simulated binary crossover for continuous search space. Complex Syst. 9(2), 115–148 (1995)

    MathSciNet  MATH  Google Scholar 

  21. Deb, K., Goyal, M.: A combined genetic adaptive search (GeneAS) for engineering design. Comput. Sci. inf. 26, 30–45 (1996)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dilip Kumar Pratihar .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Das, A.K., Pratihar, D.K. (2018). A Novel Restart Strategy for Solving Complex Multi-modal Optimization Problems Using Real-Coded Genetic Algorithm. In: Abraham, A., Muhuri, P., Muda, A., Gandhi, N. (eds) Intelligent Systems Design and Applications. ISDA 2017. Advances in Intelligent Systems and Computing, vol 736. Springer, Cham. https://doi.org/10.1007/978-3-319-76348-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-76348-4_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-76347-7

  • Online ISBN: 978-3-319-76348-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics