Skip to main content

The RM-MEDA Based on Elitist Strategy

  • Conference paper
Advances in Computation and Intelligence (ISICA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6382))

Included in the following conference series:

Abstract

The Estimation of Distribution Algorithms(EDAs) is a new paradigm for Evolutionary Computation. This new class of algorithms generalizes Genetic Algorithms(GAs) by replacing the crossover and mutation operators by learning and sampling the probability distribution of the best individuals of the population at each iteration of the algorithm. In this paper, we review the EDAs for the solution of combinatorial optimization problems and optimization in continuous domains. The paper gives a brief overview of the multiobjective problems(MOP) and estimation of distribution algorithms(EDAs). We introduce a representative algorithm called RMMEDA (Regularity Model Based Multi-objective Estimation of Distribution Algorithm). In order to improve the convergence performance of the algorithm, we improve the traditional RM-MEDA. The improvement we make is using part of the parent population with better performance instead of the entire parent population to establish a more accurate manifold model, and the RM-MEDA based on elitist strategy theory is proposed. Experimental results show that the improved RM-MEDA performs better on the convergence metric and the algorithm runtime than the original one.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Schaffer, J.D.: Multiple objective optimization with vector evaluated genetic algorithms. In: Proc. 1st Int. Conf. Genetic Algorithms, Pittsburgh, PA, pp. 93–100 (1985)

    Google Scholar 

  2. Deb, K.: Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Baffins Lane (2001)

    MATH  Google Scholar 

  3. Coello Coello, C.A., van Veldhuizen, D.A., Lamont, G.B.: Evolutionary Algorithms for solving Multi-Objective Problems. Kluwer, Norwell (2002)

    MATH  Google Scholar 

  4. Tan, K.C., Khor, E.F., Lee, T.H.: Multiobjective Evolutionary Algorithms and Applications. Springer, Heidelberg (2005)

    MATH  Google Scholar 

  5. Knowles, J., Corne, D.: Memetic algorithms for multiobjective optimization: Issues, methods and prospects. In: Recent Advances in Memetic Algorithms. Studies in Fuzziness and Soft Computing, vol. 166, pp. 313–352. Springer, New York (2005)

    Chapter  Google Scholar 

  6. Larranaga, P., Lozano, J.A. (eds.): Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation. Kluwer Academic Publishers, Norwell (2001)

    Google Scholar 

  7. Okabe, T., Jin, Y., Sendhoff, B., Olhofer, M.: Voronoi-based estimation of distribution algorithm for multi-objecbive optimization. In: Proc. Congr. Evol. Comput (CEC 2004), Portland, OR, pp. 1594–1601 (2004)

    Google Scholar 

  8. Bosman, P.A.N., Thierens, D.: The naive MIDEA: A baseline multi-objective EA. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 428–442. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  9. Pelikan, M., Sastry, K., Goldberg, D.: Multiobjective HBOA, clustering, and scalability. Illinois Genetic Algorithms Laboratory (IlliGAL), Tech. Rep. 2005005 (2005)

    Google Scholar 

  10. Cherkassky, V., Mulier, F.: Learning from Data: Concepts. Theory. and Methods. Wiley, New York (1998)

    MATH  Google Scholar 

  11. Hasite, T., Tibshirani, R., Friedman, J.: The Elements of Statistical Learning: Data Mining, Inference, and Prediciton. Springer, Berlin (2001)

    Google Scholar 

  12. Zhang, Q., Zhou, A., Jin, Y.: RM-MEDA: A Regularity Model-Based Multiobjective Estimation of Distribution Algorithm. IEEE Transactions on Evolutionary Computation 12(1), 41–63 (2008)

    Article  Google Scholar 

  13. Kukkonen, S., Lampinen, J.: GDE3: The third evolution step of generalized differential evolution. In: Proc. Congr. Evol. Comput (CEC 2005), Edinburgh, U.K., pp. 443–450 (2005)

    Google Scholar 

  14. Deb, K., Pratap, A., Agarwal, S., Meyaarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6, 182–197 (2002)

    Article  Google Scholar 

  15. Miettinen, K.: Nonlinear Multiobjective Optimization. Kluwer’s International Series in Operations Research & Management Science, vol. 12. Kluwer, Norwell (1999)

    MATH  Google Scholar 

  16. Schutze, O., Mostaghim, S., Dellnitz, M., Teich, J.: Covering Pareto sets by multilevel evolutionary subdivision techniques. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol. 2632, pp. 118–132. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  17. Ishibuchi, H., Yoshida, T., Murata, T.: Balance between genitic search and local search in memetic algorithms for multiobjective permutation flowshop scheduling. IEEE Trans. Evol. Comput. 7, 204–223 (2003)

    Article  Google Scholar 

  18. Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable test problems for evolutionary multiobjective optimization. In: Evolutionary Multiobjective Optimization, Theoretical Advances and Applications, pp. 105–145. Springer, New York (2005)

    Chapter  Google Scholar 

  19. Li, H., Zhang, Q.: A multiobjective differential evolution based on decomposition for multiobjective optimization with variable linkages. In: Runarsson, T.P., Beyer, H.-G., Burke, E.K., Merelo-Guervós, J.J., Whitley, L.D., Yao, X. (eds.) PPSN 2006. LNCS, vol. 4193, pp. 583–592. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mo, L., Dai, G., Zhu, J. (2010). The RM-MEDA Based on Elitist Strategy. In: Cai, Z., Hu, C., Kang, Z., Liu, Y. (eds) Advances in Computation and Intelligence. ISICA 2010. Lecture Notes in Computer Science, vol 6382. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16493-4_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-16493-4_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16492-7

  • Online ISBN: 978-3-642-16493-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics