Abstract
The weight-based multiobjective evolutionary algorithms have been criticized mainly for the following aspects: (1) difficulty in finding Pareto-optimal solutions in problems having nonconvex Pareto-optimal region, and (2) non-elitism approach for most cases, and (3) difficulty in generating uniformly distributed Pareto-optimal solutions. In this paper, we propose a weight-based multiobjective immune genetic algorithm(MOIGA), which alleviates all the above three difficulties. In this proposed algorithm, a randomly weighted sum of multiple objectives is used as a fitness function. An immune operator is adopted to increase the diversity of the population. Specifically, a new mate selection approach called tournament selection algorithm with similar individuals (TSASI) and a new environmental selection approach named truncation algorithm with similar individuals (TASI) are presented. Simulation results show MOIGA outperforms NSGA-II and RWGA.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Schaffer, J.D.: Multiple Objective Optimization with Vector Evaluated Genetic Algorithm. In: Proc. 1st Int. Conf. Genetic Algorithm, pp. 93–100. Hillsdale, New Jersey (1985)
Deb, K.: Multi-objective Optimization Using Evolutionary Algorithms. John Wiley & Sons, Ltd., New York (2001)
Coello Coello, C.A., Lamont, G.B., Van Veldhuizen, D.A.: Evolutionary Algorithms for Solving Multi-objective Problems, 2nd edn. Springer Science, New York (2008)
Hajela, P., Lin, C.Y.: Genetic Search Strategies in Multicriterion Optimal Design. Struct. Optimiz. 4, 99–107 (1992)
Ishibuchi, H., Murata, T.: A Multi-objective Genetic Local Search Algorithm and Its Application to Flowshop Scheduling. IEEE Trans. Sys. Man Cy. 28(3), 392–403 (1998)
Fonseca, C.M., Fleming, P.J.: Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization. In: Forrest, F. (ed.) Proc. 5th Int. Conf. Genetic Algorithms, San Mateo, CA, pp. 416–423. Morgan Kaufmann, San Francisco (1993)
Horn, J., Nafpliotis, N., Goldberg, D.E.: A Niched Pareto Genetic Algorithm for Multiobjective Optimization. In: Proc. 1st IEEE Conf. Evolutionary Computation, IEEE World Congress Computational Computation, Piscataway, NJ, pp. 82–87 (1994)
Srinivas, N., Deb, K.: Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms. Evol. Comput. 2(3), 221–248 (1994)
Zitzler, E., Thiele, L.: Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach. IEEE Trans. Evol. Comput. 3(4), 257–271 (1999)
Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: Improving the Strength Pareto Evolutionary Algorithm for Multiobjective Optimization. In: Giannakoglou, K., Tsahalis, D., et al. (eds.) Evolutionary Methods for Design, Optimization and Control with Applications to Industrial Problems, Athens, Greece, pp. 95–100 (2002)
Deb, K., Pratap, A., Agarwal, S., et al.: A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)
Corne, D.W., Jerram, N.R., Knowles, J.D., et al.: PESA-II: Region Based Selection in Evolutionary Multiobjective Optimization. In: Spector, L., Goodman, D., et al. (eds.) Proc. Genetic and Evolutionary Computation Conference, pp. 283–290. Morgan Kaufmann Publishers, San Francisco (2001)
Corne, D.W., Knowles, J.D., Oates, M.J.: The Pareto Envelope-Based Selection Algorithm for Multiobjective Optimization. In: Schoenauer, M., Deb, K. (eds.) Parallel Problem Solving from Nature IV. LNCS, vol. 2632, pp. 327–341. Springer, Heidelberg (2003)
Knowles, J.D., Corne, D.W.: Approximating the Nondominated Front Using the Pareto Archived Evolution Strategy. Evol. Comput. 8(2), 149–172 (2000)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
He, G., Gao, J. (2009). A Novel Weight-Based Immune Genetic Algorithm for Multiobjective Optimization Problems. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01510-6_57
Download citation
DOI: https://doi.org/10.1007/978-3-642-01510-6_57
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01509-0
Online ISBN: 978-3-642-01510-6
eBook Packages: Computer ScienceComputer Science (R0)