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A Combination of Specialized Differential Evolution Variants for Constrained Optimization

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7637))

Abstract

A novel approach based on three differential evolution variants to solve numerical constrained optimization problems is presented. Each variant competes to get more vectors for reproduction from the population. Such competition is based on two performance measures for convergence and solution improvement. Two of the variants adopted in this work were precisely proposed to deal with constrained search spaces. Two experiments are carried out: one to analyze the behavior of each variant with respect to the features of the problem solved and another to compare the performance of the proposed approach with respect to state-of-the-art multi-operator algorithms. The results obtained show that the specialized variants are more useful in the search, either combined or just using one of them. Finally, the final results of the proposed approach were highly competitive, and better in some cases, with respect to those of the algorithms used in the comparison.

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References

  1. Eiben, A., Smith, J.E.: Introduction to Evolutionary Computing. Springer (2003)

    Google Scholar 

  2. Mezura-Montes, E., Coello Coello, C.A.: Constraint-Handling in Nature-Inspired Numerical Optimization – Past, Present and Future. Swarm and Evolutionary Computation 1(4), 173–194 (2011)

    Article  Google Scholar 

  3. Wolpert, D.H., Macready, W.G.: No Free Lunch Theorems for Optimization. IEEE Transactions on Evolutionary Computation 1(1), 67–82 (1997)

    Article  Google Scholar 

  4. Mallipeddi, R., Suganthan, P., Pan, Q., Tasgetiren, M.: Differential Evolution Algorithm with Ensemble of Parameters and Mutation Strategies. Applied Soft Computing 11(2), 1679–1696 (2011)

    Article  Google Scholar 

  5. Wang, Y., Cai, Z., Zhang, Q.: Differential Evolution with Composite Trial Vector Generation Strategies and Control Parameters. IEEE Transactions Evolutionary Computation 15(1), 55–66 (2011)

    Article  Google Scholar 

  6. Elsayed, S.M., Sarker, R.A., Essam, D.L.: Multi-Operator Based Evolutionary Algorithms for Solving Constrained Optimization Problems. Computers and Operations Research 38(12), 1877–1896 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  7. Price, K., Storn, R., Lampinen, J.: Differential Evolution – A Practical Approach to Global Optimization. Springer (2005)

    Google Scholar 

  8. Mezura-Montes, E., Velázquez-Reyes, J., Coello Coello, C.A.: Modified Differential Evolution for Constrained Optimization. In: 2006 IEEE Congress on Evolutionary Computation (CEC 2006), pp. 332–339. IEEE Press (2006)

    Google Scholar 

  9. Youyun, A., Hongqin, C.: An Adaptive Differential Evolution Algorithm to Solve Constrained Optimization Problems in Engineering Design. Engineering 2(1), 65–77 (2010)

    Article  Google Scholar 

  10. Feoktistov, V.: Differential Evolution – In Search of Solutions. Springer (2006)

    Google Scholar 

  11. Mezura-Montes, E., Coello, C.A.C.: Identifying On-line Behavior and Some Sources of Difficulty in Two Competitive Approaches for Constrained Optimization. In: IEEE Congress on Evolutionary Computation (CEC 2005), vol. 2, pp. 1477–1484. IEEE Press (2005)

    Google Scholar 

  12. Deb, K.: An Efficient Constraint Handling Method for Genetic Algorithms. Computer Methods in Applied Mechanics and Engineering 186(2), 311–338 (2000)

    Article  MATH  Google Scholar 

  13. Rao, R.V., Patel, V.: An Elitist Teaching-Learning-Based Optimization Algorithm for Solving Complex Constrained Optimization Problems. International Journal of Industrial Engineering Computations 3, 535–560 (2012)

    Article  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Gordián-Rivera, LA., Mezura-Montes, E. (2012). A Combination of Specialized Differential Evolution Variants for Constrained Optimization. In: Pavón, J., Duque-Méndez, N.D., Fuentes-Fernández, R. (eds) Advances in Artificial Intelligence – IBERAMIA 2012. IBERAMIA 2012. Lecture Notes in Computer Science(), vol 7637. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34654-5_27

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  • DOI: https://doi.org/10.1007/978-3-642-34654-5_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34653-8

  • Online ISBN: 978-3-642-34654-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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