Abstract
In this paper, a new multi-objective evolutionary algorithm (MOEA) named hybrid MOEA with adaptive multi-population strategy (HMOEA-AMP) is proposed for multi-objective optimization problems (MOPs).In the framework of HMOEA-AMP, the particle swarm optimization and differential evolution are hybridized to guide the exploitation of the Pareto optimal solutions and the exploration of the optimal distribution of the achieved solutions, respectively. Multiple subpopulations are constructed in an adaptive fashion according to a number of scalar subproblems, which are decomposed from a MOP through a set of predefined weight vectors. Comprehensive experiments using a set of benchmark are conducted to investigate the performance of HMOEA-AMP in comparison with several state-of-the-art MOEAs. The experimental results show the advantage of the proposed algorithm.









Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Adra SF, Dodd TJ, Griffin IA, Fleming PJ (2009) Convergence acceleration operator for multiobjective optimization. IEEE Trans Evol Comput 13(4):825–847
Ahmed F, Deb K (2013) Multi-objective optimal path planning using elitist non-dominated sorting genetic algorithms. Soft Comput 17(7):1283–1299
Ali M, Siarry P, Pant M (2012) An efficient differential evolution based algorithm for solving multi-objective optimization problems. Eur J Oper Res 217(2):404–416
Beume N, Naujoksand B, Emmerich M (2007) SMS-EMOA: multiobjective selection based on dominated hypervolume. Eur J Oper Res 181(3):1653–1669
Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm NSGA-II. IEEE Trans Evol Comput 6(2):182–197
Elhossini A, Areibi S, Dony R (2010) Strength pareto particle swarm optimization and hybrid EA-PSO for multi-objective optimization. Evol Comput 18(1):127–156
Gee SB, Arokiasami WA, Jiang J, Tan KC (2015) Decomposition-based multi-objective evolutionary algorithm for vehicle routing problem with stochastic demands. Soft Comput. doi:10.1007/s00500-015-1830-2
Huang VL, Suganthanand PN, Liang JJ (2006) Comprehensive learning particle swarm optimizer for solving multiobjective optimization problems. Int J Intell Syst 21(2):209–226
Huband S, Hingston P, Barone L et al (2006) A review of multiobjective test problems and a scalable test problem toolkit. IEEE Trans Evol Comput 10(5):477–506
Ishibuchi H, Murata T (1998) A multiobjective genetic local search algorithm and its application to flowshop scheduling. IEEE Trans Syst Man Cybern Part C Appl Rev 28(3):392–403
Jiao LC, Wang H, Shang RH et al (2013) A co-evolutionary multi-objective optimization algorithm based on direction vectors. Inf Sci 228:90–112
Lee CE, Chou FD (1998) A two-machine flowshop scheduling heuristic with bicriteria objective. Int J Ind Eng 5(2):128–139
Li BB, Wang L (2007) A hybrid quantum-inspired genetic algorithm for multiobjective flow shop scheduling. IEEE Trans Syst Man Cybern Part B Cybern 37(3):576–591
Liang JJ, Qu BY, Suganthanand PN et al (2012). Dynamic multi-swarm particle swarm optimization for multi-objective optimization problems. In: Proceedings of the 2012 IEEE congress on evolutionary computation
Ma X, Liu F, Qi Y et al (2014) MOEA/D with opposition-based learning for multiobjective optimization problem. Neurocomputing 146:48–64
Nagar A, Heragu SS, Haddock J (1995) A branch-and-bound approach for a two-machine flowshop scheduling problem. J Oper Res 46(6):721–734
Ponnambalam SG, Jagannathan H, Kataria M, Gadicherla A (2004) A TSP-GA multiobjective algorithm for flow-shop scheduling. Int J Adv Manuf Technol 23(11–12):909–915
Qi Y, Ma X, Liu F et al (2014) MOEA/D with adaptive weight adjustment. Evol Comput 22(2):231–264
Qian B, Wang L, Huang D, Wang X (2009) Multi-objective no-wait flow-shop scheduling with a memetic algorithm based on differential evolution. Soft Comput 13(8–9):847–869
Tan Y, Jiao Y Y, Li H (2013) MOEA/D+uniform design: a new version of MOEA/D for optimization problems with many objectives. Comput Oper Res 40(6):1648–1660
Tan KC, Yang YJ, Goh CK (2006) A distributed cooperative coevolutionary algorithm for multiobjective optimization. IEEE Trans Evol Comput 10(5):527–549
Tang L, Wang X (2013) A hybrid multiobjective evolutionary algorithm for multiobjective optimization problems. IEEE Trans Evol Comput 17(1):20–45
Tripathi PK, Bandyopadhyayand S, Pal SK (2007) Multi-objective particle swarm optimization with time variant inertia and acceleration coefficients. Inf Sci 177(22):5033–5049
Wang HF, Fu Y, Huang M, Wang JW (2016) Multiobjective optimisation design for enterprise system operation in the case of scheduling problem with deteriorating jobs. Enterp Inf Syst 10(3):268–285
Wang JW, Wang HF, Ip WH, Furuta K, Kanno T and Zhang WJ (2013a) Predatory search strategy based on swarm intelligence for continuous optimization problems, mathematical problems in engineering, vol. 2013, Article ID 749256, 11 pages, 2013. doi:10.1155/2013/749256
Wang JW, Wang HF, Zhang WJ, Ip WH, Furuta K (2013b) Evacuation planning based on the contraflow technique with consideration of evacuation priorities and traffic setup time. IEEE Trans Intell Transp Syst 14(1):480–485
Wanner EF, Guimarães FG, Takahashi RHC, Fleming PJ (2008) Local search with quadratic approximations into memetic algorithms for optimization with multiple criteria. Evol Comput 16(2):185–224
Wang YN, Wu LH, Yuan XF (2010) Multi-objective self-adaptive differential evolution with elitist archive and crowding entropy-based diversity measure. Soft Comput 14(3):193–209
Yang D, Jiao L, Gong M (2009) Adaptive multi-objective optimization based on nondominated solutions. Comput Intell 25(2):84–108
Zhang Y, Gong D, Ding Z (2011) Handling multi-objective optimization problems with a multi-swarm cooperative particle swarm optimizer. Expert Syst Appl 38(11):13933–13941
Zhang Q, Li H (2007) MOEA/D: a multiobjective evolutionary algorithm based on decomposition. IEEE Trans Evol Comput 11(6):712–731
Zhou A, Qu B, Li H, Zhao S, Suganthan P (2011) Multiobjective evolutionary algorithms: a survey of the state of the art. Swarm Evol Comput 1:32–49
Zitzler E and Kunzli S (2004) Indicator-based selection in multiobjective search. In: Proceedings of 8th international conference on parallel problem solving from nature, pp 832–842
Acknowledgments
This study was supported in part by the HKSAR RGC GRF project under Grant No. 712513, by the ITF Innovation and Technology Support Programme under Grant No. ITP/045/13LP, by the National Natural Science Foundation of China (NSFC) under Grant No. 71671032 and No. 71571156, by the Major International Joint Research Project of NSFC under Grant No. 71620107003, and by the Open Project funded by State Key Laboratory of Synthetical Automation for Process Industries under Grant No. PAL-N201505.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
Hongfeng Wang declares that he has no conflict of interest. Yaping Fu declares that he has no conflict of interest. Min Huang declares that she has no conflict of interest. George Huang declares that he has no conflict of interest. Junwei Wang declares that he has no conflict of interest.
Ethical approval
This article does not contain any studies with human participants or animals performed by any of the authors.
Informed consent
Informed consent was obtained from all individual participants included in the study.
Additional information
Communicated by Y. Jin.
Rights and permissions
About this article
Cite this article
Wang, H., Fu, Y., Huang, M. et al. A hybrid evolutionary algorithm with adaptive multi-population strategy for multi-objective optimization problems. Soft Comput 21, 5975–5987 (2017). https://doi.org/10.1007/s00500-016-2414-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-016-2414-5