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An Adaptive Differential Evolution Algorithm with Automatic Population Resizing for Global Numerical Optimization

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Book cover Bio-Inspired Computing - Theories and Applications

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 472))

Abstract

An adaptive population resizing algorithm is presented. To improve the performance of DE, an adaptive population size algorithm that makes a balance between exploration-exploitation properties is required. Although adjusting population size is important, many researchers have not focused on this topic. The proposed algorithm calculates the deviation of the dispersed individuals in every certain evaluation counters and executes adjusting the population size based on this information. Therefore, the proposed algorithm can adapt the population size by including or excluding some individuals depending on the progress. The performance evaluation results showed that the proposed algorithm was better than standard DE algorithm.

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References

  1. Rainer, S., Kenneth, P.: Differential Evolution–A Simple and Efficient Heuristic for Global Optimization Over Continuous Spaces. Journal of Global Optimization 11(4), 341–359 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  2. Swagatam, D., Suganthan, M., Nagaratnam, P.: Differential Evolution: A Survey of the State-of-the-art. IEEE Trans. on Evolutionary Computation 15(1), 4–31 (2011)

    Article  Google Scholar 

  3. Qin, A.K., Suganthan, P.N.: Self-adaptive Differential Evolution Algorithm for Numerical Optimization. In: Proceedings of the meeting of the Congress on Evolutionary Computation (2005)

    Google Scholar 

  4. Brest, J., Greiner, S., Boskovic, B., Mernik, M., Zumer, V.: Self-Adapting Control Parameters in Differential Evolution: A Comparative Study on Numerical Benchmark Problems. IEEE Trans. Evolutionary Computation 10(6), 646–657 (2006)

    Article  Google Scholar 

  5. Zhang, J., Sanderson, A.C.: JADE: Self-adaptive Differential Evolution with Fast and Reliable Convergence Performance. In: Proceedings of the meeting of the Congress on Evolutionary Computation (2007)

    Google Scholar 

  6. Rahnamayan, S., Tizhoosh, H.R., Salama, M.M.A.: Opposition-Based Differential Evolution. IEEE Trans. on Evolutionary Computation 12(1), 64–79 (2008)

    Article  Google Scholar 

  7. Tae, J.C., Chang, W.A., Jinung, A.: An Adaptive Cauchy Differential Evolution Algorithm for Global Numerical Optimization. The Scientific World Journal, Article ID 969734 (2013), doi:10.1155/2013/969734

    Google Scholar 

  8. Teo, J.: Exploring Dynamic Self-adaptive Populations in Differential Evolution. Soft Computing 10(8), 673–686 (2006)

    Article  Google Scholar 

  9. Brest, J., Maucec, M.S.: Population Size Reduction for The Differential Evolution Algorithm. Applied Intelligent 29(3), 228–247 (2008)

    Article  Google Scholar 

  10. Elsayed, S.M., Sarker, R.A.: Differential Evolution with Automatic Population Injection Scheme for Constrained Problems. In: Proceedings of the Meeting of the IEEE Symposium on Differential Evolution (2013)

    Google Scholar 

  11. Goldberg, D.E., Deb, K., Clark, J.H.: Accounting for Noise in the Sizing of Populations. In: Proceedings of the meeting of the FOGA (1992)

    Google Scholar 

  12. Goldberg, D.E., Deb, K., Clark, J.H.: Genetic Algorithms, Noise, and the Sizing of Populations. Complex Systems 6, 333–362 (1992)

    MATH  Google Scholar 

  13. Yao, X., Liu, Y., Lin, G.: Evolutionary Programming Made Faster. IEEE Trans. on Evolutionary Computation 3(2), 82–102 (1999)

    Article  Google Scholar 

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Choi, T.J., Ahn, C.W. (2014). An Adaptive Differential Evolution Algorithm with Automatic Population Resizing for Global Numerical Optimization. In: Pan, L., Păun, G., Pérez-Jiménez, M.J., Song, T. (eds) Bio-Inspired Computing - Theories and Applications. Communications in Computer and Information Science, vol 472. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-45049-9_11

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  • DOI: https://doi.org/10.1007/978-3-662-45049-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-45048-2

  • Online ISBN: 978-3-662-45049-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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