skip to main content
10.1145/1830761.1830852acmconferencesArticle/Chapter ViewAbstractPublication PagesgeccoConference Proceedingsconference-collections
poster

A novel diversification strategy for multi-objective evolutionary algorithms

Published:07 July 2010Publication History

ABSTRACT

Diversity plays an important role in evolutionary multi-objective optimization. Because of this, the development of mechanisms which provide and maintain diversity to multi-objective evolutionary algorithms (MOEAs) have been studied since their inception. Fitness sharing and niching are probably the most popular density estimator used with non-elitist MOEAs. However, the main downside of these techniques is the need to define the niche radius, which is a critical parameter that is not trivial to set. In recent years, the use of external archives to store the non-dominated solutions found by elitist MOEAs has become a popular choice. This has triggered more effective and simple diversity maintenance techniques for MOEAs. In this paper, we introduce a new archiving strategy based on the Convex Hull of Individual Minima (CHIM), which is intended to maintain a well-distributed set of non-dominated solutions. Our proposed approach is compared with NSGA-II using standard test problems and performance measures taken from the specialized literature.

References

  1. M. Cococcioni, P. Ducange, B. Lazzerini, and F. Marcelloni. A New Multi-Objective Evolutionary Algorithm Based on Convex Hull for Binary Classifier Optimization. In 2007 IEEE Congress on Evolutionary Computation (CEC'2007), pages 3150--3156, Singapore, September 2007. IEEE Press.Google ScholarGoogle ScholarCross RefCross Ref
  2. I. Das. Nonlinear Muicriteria Optimization and Robust Optimality. PhD thesis, Rice University, Houston, Texas, 1997.Google ScholarGoogle Scholar
  3. I. Das. On characterizing the knee of the pareto curve based on normal-boundary intersection. Structural Optimization, 18(2-3):107--115, October 1999.Google ScholarGoogle ScholarCross RefCross Ref
  4. I. Das and J. E. Dennis. Normal-boundary intersection: a new method for generating Pareto optimal points in multicriteria optimization problems. SIAM Journal on Optimization, 8(3):631--657, 1998. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. K. Deb, S. Agrawal, A. Pratab, and T. Meyarivan. A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multi-Objective Optimization: NSGA-II. In M. Schoenauer, K. Deb, G. Rudolph, X. Yao, E. Lutton, J. J. Merelo, and H.-P. Schwefel, editors, Proceedings of the Parallel Problem Solving from Nature VI Conference, pages 849--858, Paris, France, 2000. Springer. Lecture Notes in Computer Science No. 1917. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. K. Deb and D. E. Goldberg. An Investigation of Niche and Species Formation in Genetic Function Optimization. In J. D. Schaffer, editor, Proceedings of the Third International Conference on Genetic Algorithms, pages 42--50, San Mateo, California, June 1989. George Mason University, Morgan Kaufmann Publishers. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan. A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation, 6(2):182--197, April 2002. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. K. Deb, L. Thiele, M. Laumanns, and E. Zitzler. Scalable Test Problems for Evolutionary Multiobjective Optimization. In A. Abraham, L. Jain, and R. Goldberg, editors, Evolutionary Multiobjective Optimization. Theoretical Advances and Applications, pages 105--145. Springer, USA, 2005.Google ScholarGoogle ScholarCross RefCross Ref
  9. A. Farhang-Mehr and S. Azarm. Diversity Assessment of Pareto Optimal Solution Sets: An Entropy Approach. In Congress on Evolutionary Computation (CEC'2002), volume 1, pages 723--728, Piscataway, New Jersey, May 2002. IEEE Service Center.Google ScholarGoogle Scholar
  10. J. Knowles and D. Corne. Properties of an Adaptive Archiving Algorithm for Storing Nondominated Vectors. IEEE Transactions on Evolutionary Computation, 7(2):100--116, April 2003. Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. M. Laumanns, L. Thiele, E. Zitzler, and K. Deb. Archiving with Guaranteed Convergence and Diversity in Multi-Objective Optimization. In W. Langdon, E. Cantú -Paz, K. Mathias, R. Roy, D. Davis, R. Poli, K. Balakrishnan, V. Honavar, G. Rudolph, J. Wegener, L. Bull, M. Potter, A. Schultz, J. Miller, E. Burke, and N. Jonoska, editors, Proceedings of the Genetic and Evolutionary Computation Conference (GECCO'2002), pages 439--447, San Francisco, California, July 2002. Morgan Kaufmann Publishers. Google ScholarGoogle ScholarDigital LibraryDigital Library
  12. J. R. Schott. Fault Tolerant Design Using Single and Multicriteria Genetic Algorithm Optimization. Master's thesis, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, Massachusetts, May 1995.Google ScholarGoogle Scholar
  13. Q. Zhang and H. Li. MOEA/D: A Multiobjective Evolutionary Algorithm Based on Decomposition. IEEE Transactions on Evolutionary Computation, 11(6):712--731, December 2007. Google ScholarGoogle ScholarDigital LibraryDigital Library
  14. E. Zitzler, K. Deb, and L. Thiele. Comparison of Multiobjective Evolutionary Algorithms: Empirical Results. Evolutionary Computation, 8(2):173--195, Summer 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  15. E. Zitzler and L. Thiele. Multiobjective Optimization Using Evolutionary Algorithms -- A Comparative Study. In A. E. Eiben, editor, Parallel Problem Solving from Nature V, pages 292--301, Amsterdam, September 1998. Springer-Verlag. Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. A novel diversification strategy for multi-objective evolutionary algorithms

        Recommendations

        Comments

        Login options

        Check if you have access through your login credentials or your institution to get full access on this article.

        Sign in
        • Published in

          cover image ACM Conferences
          GECCO '10: Proceedings of the 12th annual conference companion on Genetic and evolutionary computation
          July 2010
          1496 pages
          ISBN:9781450300735
          DOI:10.1145/1830761

          Copyright © 2010 ACM

          Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

          Publisher

          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 7 July 2010

          Permissions

          Request permissions about this article.

          Request Permissions

          Check for updates

          Qualifiers

          • poster

          Acceptance Rates

          Overall Acceptance Rate1,669of4,410submissions,38%

          Upcoming Conference

          GECCO '24
          Genetic and Evolutionary Computation Conference
          July 14 - 18, 2024
          Melbourne , VIC , Australia

        PDF Format

        View or Download as a PDF file.

        PDF

        eReader

        View online with eReader.

        eReader