The DOI matches its Crossref record; 44 of the 44 references it cites were found in a registry or an index.
A Knee Point-Driven Evolutionary Algorithm for Many-Objective Optimization
Abstract
Evolutionary algorithms (EAs) have shown to be promising in solving many-objective optimization problems (MaOPs), where the performance of these algorithms heavily depends on whether solutions that can accelerate convergence toward the Pareto front and maintaining a high degree of diversity will be selected from a set of nondominated solutions. In this paper, we propose a knee point-driven EA to solve MaOPs. Our basic idea is that knee points are naturally most preferred among nondominated solutions if no explicit user preferences are given. A bias toward the knee points in the nondominated solutions in the current population is shown to be an approximation of a bias toward a large hypervolume, thereby enhancing the convergence performance in many-objective optimization. In addition, as at most one solution will be identified as a knee point inside the neighborhood of each solution in the nondominated front, no additional diversity maintenance mechanisms need to be introduced in the proposed algorithm, considerably reducing the computational complexity compared to many existing multiobjective EAs for many-objective optimization. Experimental results on 16 test problems demonstrate the competitiveness of the proposed algorithm in terms of both solution quality and computational efficiency.
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Citations
Cites
A fast and elitist multiobjective genetic algorithm: NSGA-II
Deb, K., Pratap, A., Agarwal, S., & Meyarivan, T. (2002) · IEEE Transactions on Evolutionary Computation · doi:10.1109/4235.996017 · Cited by 50,053
Multi-Objective Optimization Using Evolutionary Algorithms
Deb, K., & Kalyanmoy, D. (2001) · Andalas University Repository (Andalas University) · Cited by 14,918
MOEA/D: A Multiobjective Evolutionary Algorithm Based on Decomposition
Zhang, Q., & Li, H. (2007) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2007.892759 · Cited by 10,069
Deb, K., & Jain, H. (2014) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2013.2281535 · Cited by 7,133
Simulated Binary Crossover for Continuous Search Space.
Deb, K., & Agrawal, R. B. (1995) · Complex Systems · Cited by 2,976
Indicator-Based Selection in Multiobjective Search
Zitzler, E., & Künzli, S. (2004) · Lecture Notes in Computer Science · doi:10.1007/978-3-540-30217-9_84 · Cited by 2,259
A review of multiobjective test problems and a scalable test problem toolkit
Huband, S., Hingston, P., Barone, L., & While, L. (2006) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2005.861417 · Cited by 2,090
HypE: An Algorithm for Fast Hypervolume-Based Many-Objective Optimization
Bader, J., & Zitzler, E. (2011) · Evolutionary Computation · doi:10.1162/evco_a_00009 · Cited by 2,081
SMS-EMOA: Multiobjective selection based on dominated hypervolume
Beume, N., Naujoks, B., & Emmerich, M. (2007) · European Journal of Operational Research · doi:10.1016/j.ejor.2006.08.008 · Cited by 2,048
Scalable Test Problems for Evolutionary Multiobjective Optimization
Deb, K., Thiele, L., Laumanns, M., & Zitzler, E. (2005) · Advanced Information and Knowledge Processing · doi:10.1007/1-84628-137-7_6 · Cited by 2,010
Cited by
Platemo: a matlab platform for evolutionary multi-objective optimization [educational forum]
Tian, Y., Cheng, R., Zhang, X., & Jin, Y. (2017) · IEEE Computational Intelligence Magazine · doi:10.1109/mci.2017.2742868 · Cited by 2,777
Self-citationA Reference Vector Guided Evolutionary Algorithm for Many-Objective Optimization
Cheng, R., Jin, Y., Olhofer, M., & Sendhoff, B. (2016) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2016.2519378 · Cited by 1,760
Self-citationTian, Y., Cheng, R., Zhang, X., Cheng, F., & Jin, Y. (2018) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2017.2749619 · Cited by 699
Self-citationA Survey of Multiobjective Evolutionary Algorithms based on Decomposition
Trivedi, A., Srinivasan, D., Sanyal, K., & Ghosh, A. (2016) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2016.2608507 · Cited by 549
Tian, Y., Cheng, R., Zhang, X., Su, Y., & Jin, Y. (2019) · IEEE Transactions on Evolutionary Computation · doi:10.1109/tevc.2018.2866854 · Cited by 384
Self-citation
Metadata
- Authors
- Zhang, X., Tian, Y., & Jin, Y.
- Venue
- IEEE Transactions on Evolutionary Computation
- Published
- 2015-12
- Volume
- 19
- Issue
- 6
- Pages
- 761-776
- ISSN
- 1089-778X (ISSN-L)
- 1941-0026
- OpenAlex
- W2072661909
- Cited by
- 867
- References
- 44
- FWCI
- 40.53
- Type
- journal article
- Language
- en
- Open access
- closed
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