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A Feature-Based Comparison of Evolutionary Computing Techniques for Constrained Continuous Optimisation

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Neural Information Processing (ICONIP 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9491))

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Abstract

Evolutionary algorithms have been frequently applied to constrained continuous optimisation problems. We carry out feature based comparisons of different types of evolutionary algorithms such as evolution strategies, differential evolution and particle swarm optimisation for constrained continuous optimisation. In our study, we examine how sets of constraints influence the difficulty of obtaining close to optimal solutions. Using a multi-objective approach, we evolve constrained continuous problems having a set of linear and/or quadratic constraints where the different evolutionary approaches show a significant difference in performance. Afterwards, we discuss the features of the constraints that exhibit a difference in performance of the different evolutionary approaches under consideration.

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References

  1. Arnold, D.V., Hansen, N.: A (1+1)-CMA-ES for constrained optimisation. In: Proceedings of the 14th Annual Conference on Genetic and Evolutionary Computation, pp. 297–304. ACM (2012)

    Google Scholar 

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

    Google Scholar 

  3. Hansen, N., Auger, A., Finck, S., Ros, R.: Real-parameter black-box optimization benchmarking 2010: experimental setup (2010)

    Google Scholar 

  4. Igel, C., Suttorp, T., Hansen, N.: A computational efficient covariance matrix update and a (1+1)-CMA for evolution strategies. In: Proceedings of the 8th Annual Conference on Genetic and Evolutionary Computation, pp. 453–460. ACM (2006)

    Google Scholar 

  5. Mallipeddi, R., Suganthan, P.N.: Problem definitions and evaluation criteria for the cec 2010 competition on constrained real-parameter optimization. Nanyang Technological University, Singapore (2010)

    Google Scholar 

  6. Mersmann, O., Preuss, M., Trautmann, H.: Benchmarking evolutionary algorithms: towards exploratory landscape analysis. In: Schaefer, R., Cotta, C., Kołodziej, J., Rudolph, G. (eds.) PPSN XI. LNCS, vol. 6238, pp. 73–82. Springer, Heidelberg (2010)

    Google Scholar 

  7. Mezura-Montes, E., Coello Coello, C.A.: Constraint-handling in nature-inspired numerical optimization: past, present and future. Swarm Evol. Comput. 1(4), 173–194 (2011)

    Article  Google Scholar 

  8. Poursoltan, S., Neumann, F.: A feature-based analysis on the impact of set of constraints for e-constrained differential evolution. CoRR, abs/1506.06848 (2015)

    Google Scholar 

  9. Poursoltan, S., Neumann, F.: A feature-based analysis on the impact of linear constraints for \(\varepsilon \)-constrained differential evolution. In: 2014 IEEE Congress on Evolutionary Computation (CEC), pp. 3088–3095. IEEE (2014)

    Google Scholar 

  10. Robič, T., Filipič, B.: DEMO: differential evolution for multiobjective optimization. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 520–533. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  11. Schwefel, H.-P.P.: Evolution and Optimum Seeking: The Sixth Generation. Wiley, New York (1993)

    Google Scholar 

  12. Storn, R., Price, K.: Differential evolution-a simple and efficient heuristic for global optimization over continuous spaces. J. Glob. Optim. 11(4), 341–359 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  13. Takahama, T., Sakai, S.: Constrained optimization by the \(\varepsilon \) constrained differential evolution with an archive and gradient-based mutation. In: 2010 IEEE Congress on Evolutionary Computation (CEC), pp. 1–9. IEEE (2010)

    Google Scholar 

  14. Krohling, R., dos Santos Coelho, L., et al.: Coevolutionary particle swarm optimization using Gaussian distribution for solving constrained optimization problems. IEEE Trans. Syst. Man Cybern. Part B Cybern. 36, 1407–1416 (2006)

    Article  Google Scholar 

  15. Wang, Y., Cai, Z.: A hybrid multi-swarm particle swarm optimization to solve constrained optimization problems. Frontiers Comput. Sci. China 3(1), 38–52 (2009)

    Article  Google Scholar 

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Acknowledgments

Frank Neumann has been supported by ARC grants DP130104395 and DP140103400.

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Correspondence to Shayan Poursoltan or Frank Neumann .

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Poursoltan, S., Neumann, F. (2015). A Feature-Based Comparison of Evolutionary Computing Techniques for Constrained Continuous Optimisation. In: Arik, S., Huang, T., Lai, W., Liu, Q. (eds) Neural Information Processing. ICONIP 2015. Lecture Notes in Computer Science(), vol 9491. Springer, Cham. https://doi.org/10.1007/978-3-319-26555-1_38

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  • DOI: https://doi.org/10.1007/978-3-319-26555-1_38

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26554-4

  • Online ISBN: 978-3-319-26555-1

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