skip to main content
10.1145/508791.508907acmconferencesArticle/Chapter ViewAbstractPublication PagessacConference Proceedingsconference-collections
Article

Particle swarm optimization method in multiobjective problems

Published:11 March 2002Publication History

ABSTRACT

This paper constitutes a first study of the Particle Swarm Optimization (PSO) method in Multiobjective Optimization (MO) problems. The ability of PSO to detect Pareto Optimal points and capture the shape of the Pareto Front is studied through experiments on well-known non-trivial test functions. The Weighted Aggregation technique with fixed or adaptive weights is considered. Furthermore, critical aspects of the VEGA approach for Multiobjective Optimization using Genetic Algorithms are adapted to the PSO framework in order to develop a multi-swarm PSO that can cope effectively with MO problems. Conclusions are derived and ideas for further research are proposed.

References

  1. H. Ahonen, P. A. Desouza, and V. K. Garg. A Genetic Algorithm for Fitting Lorentzian Line-Shapes in Mossbauer-Spectra. Nuclear Instruments & Methods in Physics Research, 124(4):633-638, 1997.Google ScholarGoogle ScholarCross RefCross Ref
  2. T. S. Bush, C. R. A. Catlow, and P. D. Battle. Evolutionary Programming Techniques for Predicting Inorganic Crystal-Structures. J. Materials Chemistry, 5(8):1269-1272, 1995.Google ScholarGoogle Scholar
  3. R. C. Eberhart and J. Kennedy. A New Optimizer Using Particle Swarm Theory. In Proc. 6th Int. Symp. on Micro Mach. & Hum. Sci., pages 39-43, 1995.Google ScholarGoogle ScholarCross RefCross Ref
  4. R. C. Eberhart and Y. H. Shi. Evolving Artificial Neural Networks. In Proc. Int. Conf. on Neural Networks and Brain, 1998.Google ScholarGoogle Scholar
  5. R. C. Eberhart, P. K. Simpson, and R. W. Dobbins. Computational Intelligence PC Tools. Academic Press Professional, Boston, 1996. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. J. Kennedy and R. C. Eberhart. Particle Swarm Optimization. In Proc. of the IEEE Int. Conf. Neural Networks, pages 1942-1948, 1995.Google ScholarGoogle ScholarCross RefCross Ref
  7. J. Kennedy and R. C. Eberhart. Swarm Intelligence. Morgan Kaufmann Publishers, 2001. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. J. D. Knowles and D. W. Corne. Approximating the Nondominated Front Using the Pareto Archived Evolution Strategies. Evolutionary Computation, 8(2):149-172, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. Y. Jin, M. Olhofer, and B. Sendhoff. Dynamic Weighted Aggregation for Evolutionary Multi-Objective Optimization: Why Does It Work and How?. In Proc. GECCO 2001 Conf., 2001.Google ScholarGoogle Scholar
  10. K. E. Parsopoulos, V. P. Plagianakos, G. D. Magoulas, and M. N. Vrahatis. Objective Function "Stretching" to Alleviate Convergence to Local Minima. Nonlinear Analysis, TMA, 47(5):3419-3424, 2000.Google ScholarGoogle Scholar
  11. K. E. Parsopoulos, V. P. Plagianakos, G. D. Magoulas, and M. N. Vrahatis. Stretching Technique for Obtaining Global Minimizers Through Particle Swarm Optimization. In Proc. Particle Swarm Optimization Workshop, pages 22-29, 2001.Google ScholarGoogle Scholar
  12. K. E Parsopoulos and M. N. Vrahatis. Modification of the Particle Swarm Optimizer for Locating All the Global Minima. V. Kurkova, N. Steele, R. Neruda, M. Karny (Eds.), Artificial Neural Networks and Genetic Algorithms, pages 324-327, Springer, 2001.Google ScholarGoogle ScholarCross RefCross Ref
  13. K. E. Parsopoulos and M. N. Vrahatis. Particle Swarm Optimizer in Noisy and Continuously Changing Environments. M. H. Hamza (Ed.), Artificial Intelligence and Soft Computing, pages 289-294, IASTED/ACTA Press, 2001.Google ScholarGoogle Scholar
  14. W. Paszkowicz. Application of the Smooth Genetic Algorithm for Indexing Powder Patterns: Test for the Orthorhombic System. Materials Science Forum, 228(1&2):19-24, 1996.Google ScholarGoogle ScholarCross RefCross Ref
  15. W. H. Press, W. T. Vetterling, S. A. Teukolsky, and B. P. Flannery. Numerical Recipes in Fortran 77, Cambridge University Press, Cambridge, 1992. Google ScholarGoogle ScholarDigital LibraryDigital Library
  16. J. D. Schaffer. Multiple Objective Optimization with Vector Evaluated Genetic Algorithms. In Genetic Algorithms and their Applications: Proc. first Int. Conf. on Genetic Algorithms, pages 93-100, 1985. Google ScholarGoogle ScholarDigital LibraryDigital Library
  17. Y. Shi, R. C. Eberhart, and Y. Chen. Implementation of Evolutionary Fuzzy Systems. IEEE Trans. Fuzzy Systems, 7(2):109-119, 1999. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. A. J. Skinner and J. Q. Broughton. Neural Networks in Computational Materials Science: Training Algorithms. Modelling and Simulation in Material Science and Engineering, 3(3):371-390, 1995.Google ScholarGoogle Scholar
  19. K. Swinehart, M. Yasin, and E. Guimaraes. Applying an Analytical Approach to Shop-Floor Scheduling: A Case-Study. Int. J. Materials & Product Technology, 11(1-2):98-107, 1996.Google ScholarGoogle Scholar
  20. E. Zitzler. Evolutionary Algorithms for Multiobjective Optimization: Methods and Applications. Ph.D. thesis, Swiss Fed. Inst. Techn. Zurich, 1999.Google ScholarGoogle Scholar
  21. E. Zitzler, K. Deb, and L. Thiele. Comparison of Multiobjective Evolution Algorithms: Empirical Results. Evolutionary Computation, 8(2):173-195, 2000. Google ScholarGoogle ScholarDigital LibraryDigital Library

Index Terms

  1. Particle swarm optimization method in multiobjective problems

            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
              SAC '02: Proceedings of the 2002 ACM symposium on Applied computing
              March 2002
              1200 pages
              ISBN:1581134452
              DOI:10.1145/508791

              Copyright © 2002 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: 11 March 2002

              Permissions

              Request permissions about this article.

              Request Permissions

              Check for updates

              Qualifiers

              • Article

              Acceptance Rates

              Overall Acceptance Rate1,650of6,669submissions,25%

            PDF Format

            View or Download as a PDF file.

            PDF

            eReader

            View online with eReader.

            eReader