Abstract
In this paper, the independent convergent and non-convergent decision variables are firstly obtained by analyzing the contribution of decision variables to the objective function based on the existing research results of multi-objective optimization algorithms. Secondly, according to their characteristics, the multi-population is employed, so that the population can search the corresponding multiple Pareto optimal solution set in each individual environment. Then, when the problem changes, two more targeted response strategies are proposed for different types of decision variables and their effects on the objective function. As the environment changes, the algorithm can ensure the rapid convergence of the population in the objective space, while maintaining the diversity of the population in the decision space and the objective space. Therefore, the proposed algorithm has the ability of quickly respond to the change of the problem and maintain the diversity of the solution set.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Liu, Y., Yen, G.G., Gong, D.: A multi-modal multi-objective evolutionary algorithm using two-archive and recombination strategies. IEEE Trans. Evol. Comput. 23(4), 660–674 (2018)
Li, X.: Niching without niching parameters: particle swarm optimization using a ring topology. IEEE Trans. Evol. Comput. 14(1), 150–169 (2010)
Min, L., Wen-Hua, Z.: Memory enhanced dynamic multi-objective evolutionary algorithm based on decomposition. J. Softw. 24(7), 1571–1588 (2013)
Hatzakis I, Wallace, D.: Dynamic multi-objective optimization with evolutionary algorithms. In: Proceedings of the 8 th Annual Conference on Genetic and Evolutionary Computation. pp. 1201–1208, ACM, New York, USA (2006)
Yue, C., Qu, B., Liang, J.: A multi-objective particle swarm optimizer using ring topology for solving multi-modal multi-objective problems. IEEE Trans. Evol. Comput. 22(5), 805–817 (2018)
Deb, K., Udaya, B.R.N., Karthik, S.: Dynamic multi-objective optimization and decision-making using modified NSGA-II: a case study on hydro-thermal power scheduling. In:Evolutionary Multi-Criterion Optimization, pp. 803–817 (2007)
Zhou, A., Jin, Y., Zhang, Q.: A population prediction strategy for evolutionary dynamic multi-objective optimization. IEEE Trans. Cybern. 44(1), 40–53 (2014)
Zhou, A., Jin, Y., Zhang, Q., Sendhoff, B., Tsang, E.: Prediction-based population re-initialization for evolutionary dynamic multi-objective optimization. In: InternationalConference on Evolutionary Multi-Criterion Optimization, pp. 832–846 (2007)
Rong, M., Gong, D., Zhang, Y., Jin, Y., Pedrycz, W.: Multidirectional prediction approach for dynamic multi-objective optimization problems. IEEE Trans. Cybern. 49(9), 3362–3374 (2019)
Deb, K., Tiwari, S.: Omni-optimizer: a generic evolutionary algorithm for single and multi-objective optimization. Eur. J. Oper. Res. 185(3), 1062–1087 (2008)
Liang, J.J., Yue, C.T., Qu, B.Y. Multi-modal multi-objective optimization: a preliminarystudy. In: IEEE Congress on Evolutionary Computation, pp. 2454–2461 (2016)
Li, X., Engelbrecht, A., Epitropakis, M.: Benchmark functions for CEC 2013 special sessionand competition on niching methods for multi-modal function optimization. Technical report, RMIT University, Australia (2013)
Qu, B.Y., Liang, J.J., Wang, Z.Y., Chen, Q., Suganthan, P.N.: Novel benchmark functions for continuous multi-modal optimization with comparative results. Swarm Evol. Comput. 26, 23–34 (2016)
Zhang, Q., Zhou, A., Zhao, S., Suganthan, P.N., Liu, W., Tiwari, S.: Multi-objective optimization test instances for the CEC 2009 special session and competition. Technicalreport, University of Essex, Colchester, UK and Nanyang technological University, Singapore (2008)
Deb, K., Thiele, L., Laumanns, M., Zitzler, E. Scalable Test Problems for EvolutionaryMulti-objective Optimization. In: Abraham, A., Jain, L., Goldberg, R. (eds.) Evolutionary Multiobjective Optimization. Advanced Information and Knowledge Processing, pp. 105–145. Springer, London (2001). https://doi.org/10.1007/1-84628-137-7_6
Acknowledgements
This work was jointly supported by National Key R&D Program of China (2021ZD0111502), National Natural Science Foundation of China (51907112, U2066212), Jiangxi"Double Thousand Plan" Project (JXSQ20210019), Natural Science Foundation of Guangdong Province of China (2021A1515011709), Scientific Research Staring Foundation of Shantou University (NTF20009). The funding body have played a role in the purchase of experimental equipment and expert consultation.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Xu, B., Chen, Y., Li, K., Fan, Z., Gong, D., Bao, L. (2023). Dynamic Multi-modal Multi-objective Evolutionary Optimization Algorithm Based on Decomposition. In: Tan, Y., Shi, Y., Luo, W. (eds) Advances in Swarm Intelligence. ICSI 2023. Lecture Notes in Computer Science, vol 13968. Springer, Cham. https://doi.org/10.1007/978-3-031-36622-2_31
Download citation
DOI: https://doi.org/10.1007/978-3-031-36622-2_31
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-36621-5
Online ISBN: 978-3-031-36622-2
eBook Packages: Computer ScienceComputer Science (R0)