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Published in: Neural Computing and Applications 9/2020

23-11-2018 | Original Article

Heuristic orientation adjustment for better exploration in multi-objective optimization

Authors: Anqi Pan, Lei Wang, Weian Guo, Hongliang Ren, Qidi Wu

Published in: Neural Computing and Applications | Issue 9/2020

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Abstract

Decomposition strategy which employs predefined subproblem framework and reference vectors has significant contribution in multi-objective optimization, and it can enhance local convergence as well as global diversity. However, the fixed exploring directions sacrifice flexibility and adaptability; therefore, extra reference adaptations should be considered under different shapes of the Pareto front. In this paper, a population-based heuristic orientation generating approach is presented to build a dynamic decomposition. The novel approach replaces the exhaustive reference distribution with reduced and partial orientations clustered within potential areas and provides flexible and scalable instructions for better exploration. Numerical experiment results demonstrate that the proposed method is compatible with both regular Pareto fronts and irregular cases and maintains outperformance or competitive performance compared to some state-of-the-art multi-objective approaches and adaptive-based algorithms. Moreover, the novel strategy presents more independence on subproblem aggregations and provides an autonomous evolving branch in decomposition-based researches.

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Literature
1.
go back to reference Adra SF, Fleming PJ (2011) Diversity management in evolutionary many-objective optimization. IEEE Trans Evol Comput 15(2):183–195CrossRef Adra SF, Fleming PJ (2011) Diversity management in evolutionary many-objective optimization. IEEE Trans Evol Comput 15(2):183–195CrossRef
4.
go back to reference Cai X, Yang Z, Fan Z, Zhang Q (2016) Decomposition-based-sorting and angle-based-selection for evolutionary multiobjective and many-objective optimization. IEEE Trans Cybern PP(99):1–14 Cai X, Yang Z, Fan Z, Zhang Q (2016) Decomposition-based-sorting and angle-based-selection for evolutionary multiobjective and many-objective optimization. IEEE Trans Cybern PP(99):1–14
5.
go back to reference Cheng R, Jin Y, Olhofer M, Sendhoff B (2016) A reference vector guided evolutionary algorithm for many-objective optimization. IEEE Trans Evol Comput 20(5):773–791CrossRef Cheng R, Jin Y, Olhofer M, Sendhoff B (2016) A reference vector guided evolutionary algorithm for many-objective optimization. IEEE Trans Evol Comput 20(5):773–791CrossRef
9.
go back to reference Deb K, Thiele L, Laumanns M, Zitzler E (2002) Scalable multi-objective optimization test problems. In: Cec’02: proceedings of the 2002 congress on evolutionary computation, vol 1–2, pp 825–830 Deb K, Thiele L, Laumanns M, Zitzler E (2002) Scalable multi-objective optimization test problems. In: Cec’02: proceedings of the 2002 congress on evolutionary computation, vol 1–2, pp 825–830
10.
go back to reference Ding J, Liu J, Chowdhury KR, Zhang W, Hu Q, Lei J (2014) A particle swarm optimization using local stochastic search and enhancing diversity for continuous optimization. Neurocomputing 137:261–267CrossRef Ding J, Liu J, Chowdhury KR, Zhang W, Hu Q, Lei J (2014) A particle swarm optimization using local stochastic search and enhancing diversity for continuous optimization. Neurocomputing 137:261–267CrossRef
13.
go back to reference Giagkiozis I, Purshouse RC, Fleming PJ (2014) Generalized decomposition and cross entropy methods for many-objective optimization. Inf Sci 282:363–387MathSciNetCrossRef Giagkiozis I, Purshouse RC, Fleming PJ (2014) Generalized decomposition and cross entropy methods for many-objective optimization. Inf Sci 282:363–387MathSciNetCrossRef
15.
go back to reference Huband S, Hingston P, Barone L, While L (2006) A review of multiobjective test problems and a scalable test problem toolkit. IEEE Trans Evol Comput 10(5):477–506CrossRef Huband S, Hingston P, Barone L, While L (2006) A review of multiobjective test problems and a scalable test problem toolkit. IEEE Trans Evol Comput 10(5):477–506CrossRef
16.
go back to reference Ishibuchi H, Sakane Y, Tsukamoto N, Nojima Y (2010) Simultaneous use of different scalarizing functions in MOEA/D. In: Proceedings of the 12th annual conference on genetic and evolutionary computation, ACM, pp 519–526 Ishibuchi H, Sakane Y, Tsukamoto N, Nojima Y (2010) Simultaneous use of different scalarizing functions in MOEA/D. In: Proceedings of the 12th annual conference on genetic and evolutionary computation, ACM, pp 519–526
17.
go back to reference Jain H, Deb K (2014) An evolutionary many-objective optimization algorithm using reference-point based nondominated sorting approach, part II: handling constraints and extending to an adaptive approach. IEEE Trans Evol Comput 18(4):602–622CrossRef Jain H, Deb K (2014) An evolutionary many-objective optimization algorithm using reference-point based nondominated sorting approach, part II: handling constraints and extending to an adaptive approach. IEEE Trans Evol Comput 18(4):602–622CrossRef
18.
go back to reference Jiang Q, Wang L, Hei X, Yu G, Lin Y, Lu X (2016) Moea/d-ara+ sbx: a new multi-objective evolutionary algorithm based on decomposition with artificial raindrop algorithm and simulated binary crossover. Knowl Based Syst 107:197–218CrossRef Jiang Q, Wang L, Hei X, Yu G, Lin Y, Lu X (2016) Moea/d-ara+ sbx: a new multi-objective evolutionary algorithm based on decomposition with artificial raindrop algorithm and simulated binary crossover. Knowl Based Syst 107:197–218CrossRef
21.
go back to reference Li K, Kwong S, Zhang Q, Deb K (2015) Interrelationship-based selection for decomposition multiobjective optimization. IEEE Trans Cybern 45(10):2076–2088CrossRef Li K, Kwong S, Zhang Q, Deb K (2015) Interrelationship-based selection for decomposition multiobjective optimization. IEEE Trans Cybern 45(10):2076–2088CrossRef
22.
go back to reference Liu B, Fernandez FV, Zhang Q, Pak M, Sipahi S, Gielen G (2010) An enhanced MOEA/D-DE and its application to multiobjective analog cell sizing. In: 2010 IEEE congress on evolutionary computation (CEC), IEEE, pp 1–7 Liu B, Fernandez FV, Zhang Q, Pak M, Sipahi S, Gielen G (2010) An enhanced MOEA/D-DE and its application to multiobjective analog cell sizing. In: 2010 IEEE congress on evolutionary computation (CEC), IEEE, pp 1–7
25.
go back to reference Pan A, Wang L, Guo W, Wu Q (2018) A diversity enhanced multiobjective particle swarm optimization. Inf Sci 436–437:441–465MathSciNetCrossRef Pan A, Wang L, Guo W, Wu Q (2018) A diversity enhanced multiobjective particle swarm optimization. Inf Sci 436–437:441–465MathSciNetCrossRef
26.
go back to reference Pilat M, Neruda R (2015) Incorporating user preferences in moead through the coevolution of weights. In: Proceedings of the 2015 annual conference on genetic and evolutionary computation, ACM, pp 727–734 Pilat M, Neruda R (2015) Incorporating user preferences in moead through the coevolution of weights. In: Proceedings of the 2015 annual conference on genetic and evolutionary computation, ACM, pp 727–734
27.
go back to reference Qi Y, Ma X, Liu F, Jiao L, Sun J, Wu J (2014) Moea/d with adaptive weight adjustment. Evol Comput 22(2):231–264CrossRef Qi Y, Ma X, Liu F, Jiao L, Sun J, Wu J (2014) Moea/d with adaptive weight adjustment. Evol Comput 22(2):231–264CrossRef
28.
go back to reference Reyes-Sierra M, Coello Coello CA (2006) Multi-objective particle swarm optimizers: a survey of the state-of-the-art. Int J Comput Intell Res 2(3):287–308MathSciNet Reyes-Sierra M, Coello Coello CA (2006) Multi-objective particle swarm optimizers: a survey of the state-of-the-art. Int J Comput Intell Res 2(3):287–308MathSciNet
30.
go back to reference Sato H (2014) Inverted PBI in MOEA/D and its impact on the search performance on multi and many-objective optimization. In: Proceedings of the 2014 annual conference on genetic and evolutionary computation, ACM, pp 645–652 Sato H (2014) Inverted PBI in MOEA/D and its impact on the search performance on multi and many-objective optimization. In: Proceedings of the 2014 annual conference on genetic and evolutionary computation, ACM, pp 645–652
31.
go back to reference Tian Y, Cheng R, Zhang X, Cheng F, Jin Y (2017) An indicator based multi-objective evolutionary algorithm with reference point adaptation for better versatility. IEEE Trans Evol Comput 22:609–622CrossRef Tian Y, Cheng R, Zhang X, Cheng F, Jin Y (2017) An indicator based multi-objective evolutionary algorithm with reference point adaptation for better versatility. IEEE Trans Evol Comput 22:609–622CrossRef
32.
go back to reference Tian Y, Cheng R, Zhang X, Jin Y (2017) Platemo: a matlab platform for evolutionary multi-objective optimization. Neural Evol Comput 12(4):73–87 Tian Y, Cheng R, Zhang X, Jin Y (2017) Platemo: a matlab platform for evolutionary multi-objective optimization. Neural Evol Comput 12(4):73–87
34.
go back to reference Wang H, Jin Y, Yao X (2016) Diversity assessment in many-objective optimization. IEEE Trans Cybern PP(99):1–13 Wang H, Jin Y, Yao X (2016) Diversity assessment in many-objective optimization. IEEE Trans Cybern PP(99):1–13
37.
go back to reference Wang Z, Zhang Q, Li H (2015) Balancing convergence and diversity by using two different reproduction operators in MOEA/D: some preliminary work. In: 2015 IEEE international conference on systems, man, and cybernetics (SMC), IEEE, pp 2849–2854 Wang Z, Zhang Q, Li H (2015) Balancing convergence and diversity by using two different reproduction operators in MOEA/D: some preliminary work. In: 2015 IEEE international conference on systems, man, and cybernetics (SMC), IEEE, pp 2849–2854
39.
go back to reference Yang S, Jiang S, Jiang Y (2017) Improving the multiobjective evolutionary algorithm based on decomposition with new penalty schemes. Soft Comput 21(16):4677–4691CrossRef Yang S, Jiang S, Jiang Y (2017) Improving the multiobjective evolutionary algorithm based on decomposition with new penalty schemes. Soft Comput 21(16):4677–4691CrossRef
42.
go back to reference Zhang H, Llorca J, Davis CC, Milner SD (2012) Nature-inspired self-organization, control, and optimization in heterogeneous wireless networks. IEEE Trans Mob Comput 11(7):1207–1222CrossRef Zhang H, Llorca J, Davis CC, Milner SD (2012) Nature-inspired self-organization, control, and optimization in heterogeneous wireless networks. IEEE Trans Mob Comput 11(7):1207–1222CrossRef
43.
go back to reference Zhang H, Song S, Zhou A, Gao XZ (2014) A clustering based multiobjective evolutionary algorithm. In: 2014 IEEE congress on evolutionary computation, pp 723–730 Zhang H, Song S, Zhou A, Gao XZ (2014) A clustering based multiobjective evolutionary algorithm. In: 2014 IEEE congress on evolutionary computation, pp 723–730
45.
go back to reference Zhang Q, Zhou A, Zhao S, Suganthan PN, Liu W, Tiwari S (2008) Multiobjective optimization test instances for the CEC 2009 special session and competition. University of Essex, Colchester, UK and Nanyang technological University, Singapore, special session on performance assessment of multi-objective optimization algorithms, technical report, pp 1–30 Zhang Q, Zhou A, Zhao S, Suganthan PN, Liu W, Tiwari S (2008) Multiobjective optimization test instances for the CEC 2009 special session and competition. University of Essex, Colchester, UK and Nanyang technological University, Singapore, special session on performance assessment of multi-objective optimization algorithms, technical report, pp 1–30
Metadata
Title
Heuristic orientation adjustment for better exploration in multi-objective optimization
Authors
Anqi Pan
Lei Wang
Weian Guo
Hongliang Ren
Qidi Wu
Publication date
23-11-2018
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 9/2020
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-018-3848-8

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