Constrained Real-Parameter Optimization with ε -Self-Adaptive Differential Evolution

1. Abbass, H.A.: The self-adaptive pareto differential evolution algorithm. In: Proceedings of the 2002 Congress on Evolutionary Computation, 2002 (CEC 2002), vol. 1, pp. 831–836 (2002)

   Google Scholar 

2. Al-Anzia, F.S., Allahverdi, A.: A self-adaptive differential evolution heuristic for two-stage assembly scheduling problem to minimize maximum lateness with setup times. European Journal of Operational Research 182(1), 80–94 (2007)

   Article  MathSciNet  Google Scholar 

3. Ali, M.M.: Differential evolution with preferential crossover. European Journal of Operational Research 181(3), 1137–1147 (2007)

   Article  MATH  MathSciNet  Google Scholar 

4. Ali, M.M., Törn, A.: Population Set-Based Global Optimization Algorithms: Some Modifications and Numerical Studies. Computers & Operations Research 31(10), 1703–1725 (2004)

   Article  MATH  MathSciNet  Google Scholar 

5. Becerra, R.L., Coello, C.A.C.: Cultured differential evolution for constrained optimization. Computer Methods in Applied Mechanics and Engineering 195(33-36), 4303–4322 (2006)

   Article  MATH  MathSciNet  Google Scholar 

6. Brest, J., Bošković, B., Greiner, S., Žumer, V., Maučec, M.S.: Performance comparison of self-adaptive and adaptive differential evolution algorithms. Soft Computing - A Fusion of Foundations, Methodologies and Applications 11(7), 617–629 (2007)

   MATH  Google Scholar 

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

   Article  Google Scholar 

8. Brest, J., Maučec, M.S.: Population Size Reduction for the Differential Evolution Algorithm. Applied Intelligence 29(3), 228–247 (2008)

   Article  Google Scholar 

9. Brest, J., Žumer, V., Maučec, M.S.: Self-adaptive Differential Evolution Algorithm in Constrained Real-Parameter Optimization. In: The 2006 IEEE Congress on Evolutionary Computation CEC 2006, pp. 919–926. IEEE Press, Los Alamitos (2006)

   Google Scholar 

10. Brest, J., Žumer, V., Maučec, M.S.: Population size in differential evolution algorithm. Electrotechnical Review 74(1-2), 55–60 (2007) (in Slovene)

    Google Scholar 

11. Coello Coello, C.: Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Computer Methods in Applied Mechanics and Engineering 191(11-12), 1245–1287 (2002)

    Article  MATH  MathSciNet  Google Scholar 

12. Feoktistov, V.: Differential Evolution: In Search of Solutions (Springer Optimization and Its Applications). Springer, New York (2006)

    MATH  Google Scholar 

13. Gämperle, R., Müller, S.D., Koumoutsakos, P.: A Parameter Study for Differential Evolution. In: WSEAS NNA-FSFS-EC 2002. WSEAS, Interlaken, Switzerland (2002), http://www.worldses.org/online/

14. Huang, V.L., Qin, A.K., Suganthan, P.N.: Self-adaptive Differential Evolution Algorithm for Constrained Real-Parameter Optimization. In: The 2006 IEEE Congress on Evolutionary Computation CEC 2006, pp. 17–24. IEEE Press, Los Alamitos (2006)

    Google Scholar 

15. Koziel, S., Michalewicz, Z.: Evolutionary Algorithms, Homomorphous Mappings, and Constrained Parameter Optimization. Evolutionary Computation 7(1), 19–44 (1999)

    Article  Google Scholar 

16. Liang, J.J., Runarsson, T.P., Mezura-Montes, E., Clerc, M., Suganthan, N., Coello, C.A.C., Deb, K.: Problem Definitions and Evaluation Criteria for the CEC 2006 Special Session on Constrained Real-Parameter Optimization. Tech. Rep. Report #2006005, Nanyang Technological University, Singapore, et al. (December 2005), http://www.ntu.edu.sg/home/EPNSugan

17. Liu, J., Lampinen, J.: Adaptive Parameter Control of Differential Evolution. In: Proceedings of the 8th International Conference on Soft Computing (MENDEL 2002), pp. 19–26 (2002)

    Google Scholar 

18. Liu, J., Lampinen, J.: On Setting the Control Parameter of the Differential Evolution Method. In: Proceedings of the 8th International Conference on Soft Computing (MENDEL 2002), pp. 11–18 (2002)

    Google Scholar 

19. Liu, J., Lampinen, J.: A Fuzzy Adaptive Differential Evolution Algorithm. Soft Computing - A Fusion of Foundations, Methodologies and Applications 9(6), 448–462 (2005), http://springerlink.metapress.com/index/10.1007/s00500-004-0363-x

    MATH  Google Scholar 

20. Mezura-Montes, E., Veláquez-Reyes, J., Coello, C.A.C.: Modified Differential Evolution for Constrained Optimization. In: The 2006 IEEE Congress on Evolutionary Computation CEC 2006, pp. 25–31. IEEE Press, Los Alamitos (2006)

    Google Scholar 

21. Mezura-Montes, E., López-Ramírez, B.C.: Comparing Bio-Inspired Algorithms in Constrained Optimization Problems. In: Proceedings of the IEEE Congress on Evolutionary Computation (CEC 2007), pp. 662–666. IEEE Press, Los Alamitos (2007)

    Chapter  Google Scholar 

22. Mezura-Montes, E., Velázquez-Reyes, J., Coello, C.A.C.: Promising infeasibility and multiple offspring incorporated to differential evolution for constrained optimization. In: GECCO 2005: Proceedings of the 2005 conference on Genetic and evolutionary computation, pp. 225–232. ACM, New York (2005), http://doi.acm.org/10.1145/1068009.1068043

    Chapter  Google Scholar 

23. Mezura-Montes, E., Velázquez-Reyes, J., Coello, C.A.C., Muñoz Dávila, L.M.: Multiple Trial Vectors in Differential Evolution for Engineering Design. Engineering Optimization 39(5), 567–589 (2007)

    Article  MathSciNet  Google Scholar 

24. Michalewicz, Z., Fogel, D.B.: How to Solve It: Modern Heuristics. Springer, Berlin (2000)

    MATH  Google Scholar 

25. Michalewicz, Z., Schoenauer, M.: Evolutionary Algorithms for Constrained Parameter Optimization Problems. Evolutionary Computation 4(1), 1–32 (1996)

    Article  Google Scholar 

26. Nobakhti, A., Wang, H.: A simple self-adaptive Differential Evolution algorithm with application on the ALSTOM gasifier. Applied Soft Computing 8(1), 350–370 (2008), http://dx.doi.org/10.1016/j.asoc.2006.12.005

    Article  Google Scholar 

27. Price, K.V., Storn, R.M., Lampinen, J.A.: Differential Evolution, A Practical Approach to Global Optimization. Springer, Heidelberg (2005)

    MATH  Google Scholar 

28. Qin, A.K., Suganthan, P.N.: Self-adaptive Differential Evolution Algorithm for Numerical Optimization. In: The 2005 IEEE Congress on Evolutionary Computation CEC 2005, pp. 1785–1791. IEEE Press, Los Alamitos (2005)

    Chapter  Google Scholar 

29. Rönkkönen, J., Kukkonen, S., Price, K.V.: Real-Parameter Optimization with Differential Evolution. In: The 2005 IEEE Congress on Evolutionary Computation CEC 2005, pp. 506–513. IEEE Press, Los Alamitos (2005)

    Chapter  Google Scholar 

30. Storn, R.: System Design by Constraint Adaptation and Differential Evolution. IEEE Transactions on Evolutionary Computation 3(1), 22–34 (1999)

    Article  Google Scholar 

31. Storn, R., Price, K.: Differential Evolution - a simple and efficient adaptive scheme for global optimization over continuous spaces. Tech. Rep. TR-95-012, Berkeley, CA (1995), citeseer.ist.psu.edu/article/storn95differential.html

32. 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 

33. Sun, J., Zhang, Q., Tsang, E.P.K.: DE/EDA: A New Evolutionary Algorithm for Global Optimization. Information Sciences 169, 249–262 (2004)

    Article  MathSciNet  Google Scholar 

34. Takahama, T., Sakai, S.: Constrained Optimization by the ε Constrained Differential Evolution with Gradient-Based Mutation Feasible Elites. In: The 2006 IEEE Congress on Evolutionary Computation CEC 2006, pp. 17–24. IEEE Press, Los Alamitos (2006)

    Google Scholar 

35. Teo, J.: Exploring dynamic self-adaptive populations in differential evolution. Soft Computing - A Fusion of Foundations, Methodologies and Applications 10(8), 673–686 (2006)

    Google Scholar 

36. Wang, Y., Cai, Z., Zhou, Y., Zeng, W.: An Adaptive tradeoff Model for Constrained Evolutionary Optimization. IEEE Transactions on Evolutionary Computation 12(1), 80–92 (2008)

    Article  Google Scholar 

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