Skip to main content

Advertisement

Log in

A Novel Genetic Algorithm for Global Optimization

  • Published:
Acta Mathematicae Applicatae Sinica, English Series Aims and scope Submit manuscript

Abstract

This paper presents a novel genetic algorithm for globally solving un-constraint optimization problem. In this algorithm, a new real coded crossover operator is proposed firstly. Furthermore, for improving the convergence speed and the searching ability of our algorithm, the good point set theory rather than random selection is used to generate the initial population, and the chaotic search operator is adopted in the best solution of the current iteration. The experimental results tested on numerical benchmark functions show that this algorithm has excellent solution quality and convergence characteristics, and performs better than some algorithms.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ali, M.M., Törn, A. A population set-based global optimization algorithms: some modifications and numerical studies. Computers and Operations Research, 31: 1703–1725 (2004)

    Article  MathSciNet  Google Scholar 

  2. Back, T., Schwefel, H.P. An overview of evolutionary algorithms for parameteroptimization. Evolutionary Computation, 1: 1–23 (1993)

    Article  Google Scholar 

  3. Clarke, F.H., ledyaev, Y.S., Stern, R.J., et al. Nonsmooth analysis and cont rol theory. Springer-Verlag, New York, 1998

    Google Scholar 

  4. Deb, K. Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester, 2001

    MATH  Google Scholar 

  5. Deep, K., Thakur, M. A new crossover operator for real coded genetic algorithms. Applied Mathematics and Computation, 188: 895–911 (2007)

    Article  MathSciNet  Google Scholar 

  6. Deep, K., Thakur, M. A new mutation operator for real coded genetic algorithms. Applied Mathematics and Computation, 193: 211–230 (2007)

    Article  MathSciNet  Google Scholar 

  7. Dorigo, M., Stutzle, T. Ant colony optimization. MIT Press, Cambridege, MA, 2004

    Book  Google Scholar 

  8. Engelbrecht, A.P. Fundamental of Computational Swarm Intelligence. John Wiley and Sons Ltd, West Sussex, England, 2005

    Google Scholar 

  9. Gabere, N. Simulated annealing driven pattern search algorithms for global optimization. Masters thesis, University of the Witwatersrand, Johannesburg, South Africa, 2007

    Google Scholar 

  10. Gao, W.F., Liu, S.Y., Huang, L.L. A novel artificial bee colony algorithm with Powell’s method. Applied Soft Computing, 13: 3763–3775 (2013)

    Article  Google Scholar 

  11. Goldberg, D.E. Genetic Algorithms in Search Optimization and Machine Learning. Addison-Wesley, Reading, MA, 1989

    MATH  Google Scholar 

  12. Hasen, N. Adapting arbitrary normal mutation distributions in evolution strategies: the covariance matric adaption. Evolutionary Computation, Proceeding of IEEE international Conference, 1996

    Google Scholar 

  13. Jing, X., Yang, J.D. An improved simple genetic algorithm-accelerating geneticalgorithm. Systems Practice, 21: 8–13 (2001)

    Google Scholar 

  14. Kaelo, P. Some population set-based methods for unconstrained global optimization (Ph.D. thesis). University of the Witwatersrand, Johannesburg, South Africa, 2005

    Google Scholar 

  15. Kaelo, P., Ali, M.M. Integrated crossover rules in real coded genetic algorithms. European Journal of Operational Research, 176: 60–76 (2007)

    Article  MathSciNet  Google Scholar 

  16. Kennedy, J., Eberhart, R. Particle swarm optimization. In: IEE Int. Conf. Neural Networks, 1995

    Google Scholar 

  17. Ling, S.H., Leung, F.H.F. An improved genetic algorithms with average-bound crossover ans wavelet mutation operations. Soft Computing, 11(1): 7–31 (2007)

    Article  Google Scholar 

  18. Luo, J., Wang, Q., Xiao, X.H. A modified artificial bee colony algorithm based on converge-onlooker approach for global optimization. Applied Mathematics and Computation, 219: 10253–10262 (2013)

    Article  MathSciNet  Google Scholar 

  19. Michalewicz, Z. Genetic Algorithms + Data Structures = Evolution Programs. Springer-Verlag, Berlin Heidelberg, N.Y., 1996

    Book  Google Scholar 

  20. Sawyerr, B.A., Ali, M.M., Adewumi, A.O. A comparative study of some real coded genetic algorithms for unconstrained global optimization. Optimization Methods Software, 26: 945–970 (2011)

    Article  MathSciNet  Google Scholar 

  21. Storn, R., Price, K. Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization, 2: 341–359 (1997)

    Article  MathSciNet  Google Scholar 

  22. Suganthan, P.N., Hansen, N., et al. Problem definitions and evaluation criteria for the CEC 2005 special session on real-parameter optimization. KanGAL Report, 2005

    Google Scholar 

  23. Yuan, Q., Qian, F., Du, W. A hybrid genetic algorithm with the Baldwin effect. Information Sciences, 180: 640–652 (2010)

    Article  MathSciNet  Google Scholar 

  24. Zhu, G., Kwong, S. Gbest-guided artificial bee colony algorithm for numerical function optimization. Applied Mathematics and Computation, 217 (7): 3166–3173 (2010)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chun-feng Wang.

Additional information

This paper is supported by the National Natural Science Foundation NSFC(11671122); the Key Project of Henan Educational Committee (19A110021,19A510014).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Cf., Liu, K. & Shen, Pp. A Novel Genetic Algorithm for Global Optimization. Acta Math. Appl. Sin. Engl. Ser. 36, 482–491 (2020). https://doi.org/10.1007/s10255-020-0930-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10255-020-0930-7

Keywords

2000 MR Subject Classification

Navigation