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ε Constrained Differential Evolution Algorithm with a Novel Local Search Operator for Constrained Optimization Problems

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Proceedings of the 18th Asia Pacific Symposium on Intelligent and Evolutionary Systems, Volume 1

Part of the book series: Proceedings in Adaptation, Learning and Optimization ((PALO,volume 1))

Abstract

Many practical problems can be classified into constrained optimization problems (COPs). ε constrained differential evolution (εDE) algorithm is an effective method in dealing with the COPs. In this paper, ε constrained differential evolution algorithm with a novel local search operator(εDE-LS) is proposed by utilizing the information of the feasible individuals. In this way, we can guide the infeasible individuals to move into the feasible region more effectively. The performance of the proposed εDE-LS is evaluated by the 22 benchmark test functions. The experimental results empirically show that εDE-LS is highly competitive comparing with some other state-of-the-art approaches in constrained optimization problems.

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References

  1. Storn, R., Price, K.: Differential evolution — a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization 11, 341–359 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  2. Huang, F.Z., Wang, L., He, Q.: An Effective Co-evolutionary Differential Evolution for Constrained Optimization. Applied Mathematics and Computation 286, 340–356 (2007)

    Article  MathSciNet  Google Scholar 

  3. Wang, Y., Cai, Z.X.: Combining Multiobjective Optimization with Differential Evolution to Solve Constrained Optimization Problems. IEEE Transactions on Evolutionary Computation 16, 117–134 (2012)

    Article  Google Scholar 

  4. Gong, W., Cai, Z.: A Multiobjective Differential Evolution Algorithm for Constrained Optimization. In: 2008 Congress on Evolutionary Computation (CEC 2008), pp. 181–188 (2008)

    Google Scholar 

  5. Storn, R.: System Design by Constraint Adaptation and Differential Evolution. IEEE Transactions on Evolutionary Computation, 22–34 (1999)

    Google Scholar 

  6. Lampinen, J.: A Constraint Handling Approach for Differential Evolution Algorithm. In: Proceedings of the Congress on Evolutionary Computation (CEC 2002), pp. 1468–1473 (2002)

    Google Scholar 

  7. Takahama, T., Sakai, S.: Constrained Optimization by the ε-Constrained Differential Evolution with Gradient-Based Mutation and Feasible Elites. In: 2006 IEEE congress on Evolutionary Computation (CEC 2006), pp. 308–315 (2006)

    Google Scholar 

  8. Liang, J.J., Runarsson, T.P., Mezura-Montes, E., et al.: Problems Definitions and Evaluation Criteria for the CEC’ 2006 Special Session on Constrained Real-parameter Optimization (2006), http://www.ntu.edu.sg/home/EPNSugan/cec2006/technicalreport.pdf

  9. Mezura-Montes, E., Velázquez-Reyes, J., CoelloCoello, C.A.: Modified Differential Evolution for Constrained Optimization. In: Proceedings of the Congress on Evolutionary Computation (CEC 2006), pp. 332–339 (2006)

    Google Scholar 

  10. Tasgetiren, M.F., Suganthan, P.N.: A Multi-populated DifferentialEvolution Algorithm for Solving Constrained Optimization Problem. In: Proceedings of the Congress on Evolutionary Computation (CEC 2006), pp. 33–40 (2006)

    Google Scholar 

  11. Kukkonen, S., Lampinen, J.: Constrained Real-parameter Optimizationwith Generalized Differential Evolution. In: Proceedings of the Congress on Evolutionary Computation (CEC 2006), pp. 207–214 (2006)

    Google Scholar 

  12. Brest, J., Zumer, V., Maucec, M.S.: Self-adaptive DifferentialEvolution Algorithm in Constrained Real-parameter Optimization. In: Proceedings of the Congress onEvolutionary Computation (CEC 2006), pp. 215–222 (2006)

    Google Scholar 

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Yi, W., Li, X., Gao, L., Zhou, Y. (2015). ε Constrained Differential Evolution Algorithm with a Novel Local Search Operator for Constrained Optimization Problems. In: Handa, H., Ishibuchi, H., Ong, YS., Tan, K. (eds) Proceedings of the 18th Asia Pacific Symposium on Intelligent and Evolutionary Systems, Volume 1. Proceedings in Adaptation, Learning and Optimization, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-13359-1_38

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  • DOI: https://doi.org/10.1007/978-3-319-13359-1_38

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13358-4

  • Online ISBN: 978-3-319-13359-1

  • eBook Packages: EngineeringEngineering (R0)

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