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A Multi-Objective Artificial Immune System Based on Hypervolume

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Book cover Artificial Immune Systems (ICARIS 2012)

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Abstract

This paper presents a new artificial immune system algorithm for solving multi-objective optimization problems, based on the clonal selection principle and the hypervolume contribution. The main aim of this work is to investigate the performance of this class of algorithm with respect to approaches which are representative of the state-of-the-art in multi-objective optimization using metaheuristics. The results obtained by our proposed approach, called multi-objective artificial immune system based on hypervolume (MOAIS-HV) are compared with respect to those of the NSGA-II. Our preliminary results indicate that our proposed approach is very competitive, and can be a viable choice for solving multi-objective optimization problems.

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References

  1. Zheng, J., Chen, Y., Zhang, W.: A Survey of artificial immune applications. Artificial Intelligence Review 34, 19–34 (2010)

    Article  Google Scholar 

  2. Campelo, F., Guimarães, F.G., Igarashi, H.: Overview of Artificial Immune Systems for Multi-objective Optimization. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 937–951. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  3. Freschi, F., Coello Coello, C.A., Repetto, M.: Multiobjective Optimization and Artificial Immune Systems: A Review. In: Mo, H. (ed.) Handbook of Research on Artificial Immune Systems and Natural Computing: Applying Complex Adaptive Technologies. Medical Information Science Reference, pp. 1–21. Hershey, New York (2009) ISBN 978-1-60566-310-4

    Google Scholar 

  4. Coello Coello, C.A., Cruz Cortés, N.: An Approach to Solve Multiobjective Optimization Problems Based on an Artificial Immune System. In: Timmis, J., Bentley, P.J. (eds.) First International Conference on Artificial Immune Systems (ICARIS 2002), pp. 212–221. University of Kent at Canterbury, UK (2002) ISBN 1-902671-32-5

    Google Scholar 

  5. Yoo, J., Hajela, P.: Immune network simulations in multicriterion design. Structural Optimization 18, 85–94 (1999)

    Google Scholar 

  6. Coello Coello, C.A., Cruz Cortés, N.: Solving Multiobjective Optimization Problems using an Artificial Immune System. Genetic Programming and Evolvable Machines 6, 163–190 (2005)

    Article  Google Scholar 

  7. Freschi, F., Repetto, M.: Multiobjective Optimization by a Modified Artificial Immune System Algorithm. In: Jacob, C., Pilat, M.L., Bentley, P.J., Timmis, J. (eds.) ICARIS 2005. LNCS, vol. 3627, pp. 248–261. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  8. Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: Improving the Strength Pareto Evolutionary Algorithm. In: Giannakoglou, K., Tsahalis, D., Periaux, J., Papailou, P., Fogarty, T. (eds.) Evolutionary Methods for Design, Optimization and Control with Applications to Industrial Problems, EUROGEN 2001, Athens, Greece, pp. 95–100 (2002)

    Google Scholar 

  9. Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6, 182–197 (2002)

    Article  Google Scholar 

  10. Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable Test Problems for Evolutionary Multiobjective Optimization. In: Abraham, A., Jain, L., Goldberg, R. (eds.) Evolutionary Multiobjective Optimization. Theoretical Advances and Applications, pp. 105–145. Springer, USA (2005)

    Chapter  Google Scholar 

  11. Jiao, L., Gong, M., Shang, R., Du, H., Lu, B.: Clonal Selection with Immune Dominance and Anergy Based Multiobjective Optimization. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds.) EMO 2005. LNCS, vol. 3410, pp. 474–489. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  12. Gong, M., Jiao, L., Du, H., Bo, L.: Multiobjective immune algorithm with nondominated neighbor-based selection. Evolutionary Computation 16, 225–255 (2008)

    Article  Google Scholar 

  13. Lu, B., Jiao, L., Du, H., Gong, M.: IFMOA: Immune Forgetting Multiobjective Optimization Algorithm. In: Wang, L., Chen, K., S. Ong, Y. (eds.) ICNC 2005, Part III. LNCS, vol. 3612, pp. 399–408. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  14. Fonseca, C.M., Fleming, P.J.: Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization. In: Forrest, S. (ed.) Proceedings of the Fifth International Conference on Genetic Algorithms, pp. 416–423. University of Illinois at Urbana-Champaign. Morgan Kauffman Publishers, San Mateo, California (1993)

    Google Scholar 

  15. Coelho, G.P., Von Zuben, F.J.: omni-aiNet: An Immune-Inspired Approach for Omni Optimization. In: Bersini, H., Carneiro, J. (eds.) ICARIS 2006. LNCS, vol. 4163, pp. 294–308. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  16. Knowles, J., Corne, D.: Quantifying the Effects of Objective Space Dimension in Evolutionary Multiobjective Optimization. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 757–771. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  17. Zitzler, E.: Evolutionary Algorithms for Multiobjective Optimization: Methods and Applications. PhD thesis, Swiss Federal Institute of Technology (ETH), Zurich, Switzerland (1999)

    Google Scholar 

  18. Fleischer, M.: The Measure of Pareto Optima. Applications to Multi-objective Metaheuristics. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol. 2632, pp. 519–533. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  19. Beume, N., Naujoks, B., Emmerich, M.: SMS-EMOA: Multiobjective selection based on dominated hypervolume. European Journal of Operational Research 181, 1653–1669 (2007)

    Article  MATH  Google Scholar 

  20. López-Ibáñez, M., Knowles, J., Laumanns, M.: On Sequential Online Archiving of Objective Vectors. In: Takahashi, R.H.C., Deb, K., Wanner, E.F., Greco, S. (eds.) EMO 2011. LNCS, vol. 6576, pp. 46–60. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  21. Zitzler, E., Deb, K., Thiele, L.: Comparison of Multiobjective Evolutionary Algorithms: Empirical Results. Evolutionary Computation 8, 173–195 (2000)

    Article  Google Scholar 

  22. Bader, J., Zitzler, E.: HypE: An Algorithm for Fast Hypervolume-Based Many-Objective Optimization. Evolutionary Computation 19, 45–76 (2011)

    Article  Google Scholar 

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Pierrard, T., Coello Coello, C.A. (2012). A Multi-Objective Artificial Immune System Based on Hypervolume. In: Coello Coello, C.A., Greensmith, J., Krasnogor, N., Liò, P., Nicosia, G., Pavone, M. (eds) Artificial Immune Systems. ICARIS 2012. Lecture Notes in Computer Science, vol 7597. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33757-4_2

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  • DOI: https://doi.org/10.1007/978-3-642-33757-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33756-7

  • Online ISBN: 978-3-642-33757-4

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