Abstract
The Pareto envelope-based selection algorithm II (PESA-II) is a classic evolutionary multiobjective optimization (EMO) algorithm that has been widely applied in many fields. One attractive characteristic of PESA-II is its grid-based fitness assignment strategy in environmental selection. In this paper, we propose an improved version of PESA-II, called IPESA-II. By introducing three improvements in environmental selection, the proposed algorithm attempts to enhance PESA-II in three aspects regarding the performance: convergence, uniformity, and extensity. From a series of experiments on two sets of well-known test problems, IPESA-II is found to significantly outperform PESA-II, and also be very competitive against five other representative EMO algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Beume, N., Naujoks, B., Emmerich, M.: SMS-EMOA: Multiobjective selection based on dominated hypervolume. European Journal of Operational Research 181(3), 1653–1669 (2007)
Coello, C.A.C., Veldhuizen, D.A.V., Lamont, G.B.: Evolutionary Algorithms for Solving Multi-Objective Problems, 2nd edn. Springer, Heidelberg (2007)
Corne, D.W., Jerram, N.R., Knowles, J.D., Oates, M.J.: PESA-II: Region-based selection in evolutionary multiobjective optimization. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2001), pp. 283–290. Morgan Kaufmann, San Francisco (2001)
Corne, D.W., Knowles, J.D.: Techniques for highly multiobjective optimisation: some nondominated points are better than others. In: Proceedings of the 9th Annual Conference on Genetic and Evolutionary Computation (GECCO 2007), pp. 773–780 (2007)
Corne, D.W., Knowles, J.D., Oates, M.J.: The Pareto Envelope-Based Selection Algorithm for Multiobjective Optimization. In: Deb, K., Rudolph, G., Lutton, E., Merelo, J.J., Schoenauer, M., Schwefel, H.-P., Yao, X. (eds.) PPSN VI. LNCS, vol. 1917, pp. 839–848. Springer, Heidelberg (2000)
Deb, K.: Multi-Objective Optimization Using Evolutionary Algorithms. John Wiley, New York (2001)
Deb, K., Mohan, M., Mishra, S.: Evaluating the ε-dominated based multi-objective evolutionary algorithm for a quick computation of Pareto-optimal solutions. Evolutionary Computation 13(4), 501–525 (2005)
Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable test problems for evolutionary multi-objective optimization. In: Abraham, A., Jain, L., Goldberg, R. (eds.) Evolutionary Multiobjective Optimization, pp. 105–145 (2005); Theoretical Advances and Applications
Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)
Diosan, L.: A multi-objective evolutionary approach to the portfolio optimization problem. In: Proceedings of the International Conference on Computational Intelligence for Modelling, Control and Automation, pp. 183–187 (2005)
Goh, C.K., Tan, K.C.: An Investigation on Noisy Environments in Evolutionary Multiobjective Optimization. IEEE Trans. Evol. Comput. 11(3), 354–381 (2007)
Hu, J., Seo, K., Fan, Z., Rosenberg, R.C., Goodman, E.D.: HEMO: A Sustainable Multi-objective Evolutionary Optimization Framework. In: Cantú-Paz, E., Foster, J.A., Deb, K., Davis, L., Roy, R., O’Reilly, U.-M., Beyer, H.-G., Kendall, G., Wilson, S.W., Harman, M., Wegener, J., Dasgupta, D., Potter, M.A., Schultz, A., Dowsland, K.A., Jonoska, N., Miller, J., Standish, R.K. (eds.) GECCO 2003, Part I. LNCS, vol. 2723, pp. 1029–1040. Springer, Heidelberg (2003)
Hughes, E.J.: Radar Waveform Optimisation as a Many-Objective Application Benchmark. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 700–714. Springer, Heidelberg (2007)
Ishibuchi, H., Tsukamoto, N., Nojima, Y.: Evolutionary many-objective optimization: A short review. In: Proc. IEEE Congr. on Evol. Comput., pp. 2419–2426 (2008)
Jarvis, R.M., Rowe, W., Yaffe, N.R., O’Connor, R., Knowles, J.D., Blanch, E.W., Goodacre, R.: Multiobjective evolutionary optimisation for surface-enhanced Raman scattering. Analytical and Bioanalytical Chemistry 397(5), 1893–1901 (2010)
Karahan, I., Köksalan, M.: A territory defining multiobjective evolutionary algorithm and preference incorporation. IEEE Transactions on Evolutionary Computation 14(4), 636–664 (2010)
Khare, V., Yao, X., Deb, K.: Performance scaling of multi-objective evolutionary algorithms. In: Proc. 2nd Int. Conf. Evol. Multi-Criterion Optim., pp. 376–390 (2003)
Kukkonen, S., Deb, K.: A Fast and Effective Method for Pruning of Non-dominated Solutions in Many-Objective Problems. In: Runarsson, T.P., Beyer, H.-G., Burke, E.K., Merelo-Guervós, J.J., Whitley, L.D., Yao, X. (eds.) PPSN IX. LNCS, vol. 4193, pp. 553–562. Springer, Heidelberg (2006)
Laumanns, M., Thiele, L., Deb, K., Zitzler, E.: Combining convergence and diversity in evolutionary multi-objective optimization. Evolutionary Computation 10(3), 263–282 (2002)
Li, M., Yang, S., Zheng, J., Liu, X.: ETEA: A Euclidean minimum spanning tree-based evolutionary algorithm for multiobjective optimization. Evolutionary Computation (2012) (in press)
Li, M., Zheng, J.: Spread Assessment for Evolutionary Multi-Objective Optimization. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, J.-K., Sevaux, M. (eds.) EMO 2009. LNCS, vol. 5467, pp. 216–230. Springer, Heidelberg (2009)
Li, M., Zheng, J., Shen, R., Li, K., Yuan, Q.: A grid-based fitness strategy for evolutionary many-objective optimization. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2010), pp. 463–470 (2010)
Li, M., Zheng, J., Xiao, G.: Uniformity Assessment for Evolutionary Multi-Objective Optimization. In: Proceedings of IEEE Congress on Evolutionary Computation (CEC 2008), Hongkong, pp. 625–632 (2008)
Schott, J.R.: Fault tolerant design using single and multicriteria genetic algorithm optimization. Master’s thesis, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology (1995)
Talaslioglu, T.: Multi-objective Design Optimization of Grillage Systems According to LRFDAISC. Advances in Civil Engineering (2011) (in press)
Van Veldhuizen, D.A., Lamont, G.B.: Evolutionary computation and convergence to a Pareto front. In: Koza, J.R. (ed.) Late Breaking Papers at the Genetic Programming Conference, pp. 221–228 (1998)
Yang, S., Li, M., Liu, X., Zheng, J.: A grid-based evolutionary algorithm for many-objective optimization. IEEE Transactions on Evolutionary Computation (2012) (in press)
Zhang, Q., Li, H.: MOEA/D: A multiobjective evolutionary algorithm based on decomposition. IEEE Transactions on Evolutionary Computation 11(6), 712–731 (2007)
Zitzler, E., Deb, K., Thiele, L.: Comparison of multiobjective evolutionary algorithms: Empirical results. Evolutionary Computation 8(2), 173–195 (2000)
Zitzler, E., Künzli, S.: Indicator-Based Selection in Multiobjective Search. In: Yao, X., Burke, E.K., Lozano, J.A., Smith, J., Merelo-Guervós, J.J., Bullinaria, J.A., Rowe, J.E., Tiňo, P., Kabán, A., Schwefel, H.-P. (eds.) PPSN VIII. LNCS, vol. 3242, pp. 832–842. Springer, Heidelberg (2004)
Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: Improving the strength Pareto evolutionary algorithm for multiobjective optimization. In: Evolutionary Methods for Design, Optimisation and Control, pp. 95–100. CIMNE, Barcelona (2002)
Zitzler, E., Thiele, L.: Multiobjective evolutionary algorithms: A comparative case study and the strength Pareto approach. IEEE Transactions on Evolutionary Computation 3(4), 257–271 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Li, M., Yang, S., Liu, X., Wang, K. (2013). IPESA-II: Improved Pareto Envelope-Based Selection Algorithm II. In: Purshouse, R.C., Fleming, P.J., Fonseca, C.M., Greco, S., Shaw, J. (eds) Evolutionary Multi-Criterion Optimization. EMO 2013. Lecture Notes in Computer Science, vol 7811. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37140-0_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-37140-0_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37139-4
Online ISBN: 978-3-642-37140-0
eBook Packages: Computer ScienceComputer Science (R0)