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Volumn 282, Issue , 2014, Pages 363-387

Generalized decomposition and cross entropy methods for many-objective optimization

Author keywords

Convex optimization; Cross entropy method; Decomposition method; Generalized decomposition; Many objective optimization

Indexed keywords

CONVEX OPTIMIZATION; MULTIOBJECTIVE OPTIMIZATION; OPTIMAL SYSTEMS; PARETO PRINCIPLE;

EID: 84905158884     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2014.05.045     Document Type: Article
Times cited : (103)

References (66)
  • 1
    • 0036871254 scopus 로고    scopus 로고
    • Evolutionary algorithms in control systems engineering: A survey
    • DOI 10.1016/S0967-0661(02)00081-3, PII S0967066102000813
    • P. Fleming, and R. Purshouse Evolutionary algorithms in control systems engineering: a survey Control Eng. Pract. 10 11 2002 1223 1241 (Pubitemid 36073055)
    • (2002) Control Engineering Practice , vol.10 , Issue.11 , pp. 1223-1241
    • Fleming, P.J.1    Purshouse, R.C.2
  • 2
    • 38749140362 scopus 로고    scopus 로고
    • Applications of multi-objective evolutionary algorithms in economics and finance: A survey
    • M. Tapia, C. Coello, Applications of multi-objective evolutionary algorithms in economics and finance: a survey, in: IEEE Congress on Evolutionary Computation, 2007, pp. 532-539.
    • (2007) IEEE Congress on Evolutionary Computation , pp. 532-539
    • Tapia, M.1    Coello, C.2
  • 5
    • 1642474729 scopus 로고    scopus 로고
    • SPEA2: Improving the strength Pareto evolutionary algorithm
    • E. Zitzler, M. Laumanns, L. Thiele, et al., SPEA2: improving the strength Pareto evolutionary algorithm, in: EUROGEN, no. 103, 2001, pp. 1-21.
    • (2001) EUROGEN , Issue.103 , pp. 1-21
    • Zitzler, E.1    Laumanns, M.2    Thiele, L.3
  • 6
    • 84901459041 scopus 로고    scopus 로고
    • Evolutionary many-objective optimisation: An exploratory analysis
    • IEEE
    • R. Purshouse, and P. Fleming Evolutionary many-objective optimisation: an exploratory analysis IEEE Congress on Evolutionary Computation vol. 3 2003 IEEE 2066 2073
    • (2003) IEEE Congress on Evolutionary Computation , vol.3 , pp. 2066-2073
    • Purshouse, R.1    Fleming, P.2
  • 7
    • 34250092221 scopus 로고
    • Genetic algorithms and machine learning
    • D. Goldberg, and J. Holland Genetic algorithms and machine learning Mach. Learn. 3 2 1988 95 99
    • (1988) Mach. Learn. , vol.3 , Issue.2 , pp. 95-99
    • Goldberg, D.1    Holland, J.2
  • 8
    • 84925341954 scopus 로고    scopus 로고
    • An overview of population-based algorithms for multi-objective optimisation
    • I. Giagkiozis, R.C. Purshouse, and P.J. Fleming An overview of population-based algorithms for multi-objective optimisation Int. J. Syst. Sci. 0 0 2013 1 28
    • (2013) Int. J. Syst. Sci. , vol.0 , Issue.0 , pp. 1-28
    • Giagkiozis, I.1    Purshouse, R.C.2    Fleming, P.J.3
  • 9
    • 0001953837 scopus 로고
    • Genetic algorithms for multiobjective optimization: Formulation, discussion and generalization
    • C. Fonseca, P. Fleming, Genetic algorithms for multiobjective optimization: formulation, discussion and generalization, in: Conference on Genetic Algorithms, vol. 423, 1993, pp. 416-423.
    • (1993) Conference on Genetic Algorithms , vol.423 , pp. 416-423
    • Fonseca, C.1    Fleming, P.2
  • 10
    • 34548108555 scopus 로고    scopus 로고
    • MOEA/D: A multiobjective evolutionary algorithm based on decomposition
    • DOI 10.1109/TEVC.2007.892759
    • Q. Zhang, and H. Li MOEA/D: a multiobjective evolutionary algorithm based on decomposition IEEE Trans. Evol. Comput. 11 6 2007 712 731 (Pubitemid 350187486)
    • (2007) IEEE Transactions on Evolutionary Computation , vol.11 , Issue.6 , pp. 712-731
    • Zhang, Q.1    Li, H.2
  • 14
    • 0038521008 scopus 로고    scopus 로고
    • A new constrained ellipsoidal algorithm for nonlinear optimization with equality constraints
    • R. Takahashi, R. Saldanha, W. Dias-Filho, and J. Ramírez A new constrained ellipsoidal algorithm for nonlinear optimization with equality constraints IEEE Trans. Magn. 39 3 2003 1289 1292
    • (2003) IEEE Trans. Magn. , vol.39 , Issue.3 , pp. 1289-1292
    • Takahashi, R.1    Saldanha, R.2    Dias-Filho, W.3    Ramírez, J.4
  • 15
    • 0036671292 scopus 로고    scopus 로고
    • On the performance of multiple-objective genetic local search on the 0/1 knapsack problem-A comparative experiment
    • DOI 10.1109/TEVC.2002.802873, PII 1011092002802873
    • A. Jaszkiewicz On the performance of multiple-objective genetic local search on the 0/1 knapsack problem - a comparative experiment IEEE Trans. Evol. Comput. 6 4 2002 402 412 (Pubitemid 35032741)
    • (2002) IEEE Transactions on Evolutionary Computation , vol.6 , Issue.4 , pp. 402-412
    • Jaszkiewicz, A.1
  • 16
    • 84901428951 scopus 로고    scopus 로고
    • Multiple single objective Pareto sampling
    • IEEE
    • E. Hughes Multiple single objective Pareto sampling Congress on Evolutionary Computation vol. 4 2003 IEEE 2678 2684
    • (2003) Congress on Evolutionary Computation , vol.4 , pp. 2678-2684
    • Hughes, E.1
  • 17
    • 79955353433 scopus 로고    scopus 로고
    • MSOPS-II: A general-purpose many-objective optimizer
    • E. Hughes, MSOPS-II: a general-purpose many-objective optimiser, in: IEEE Congress on Evolutionary Computation, 2007, pp. 3944-3951.
    • (2007) IEEE Congress on Evolutionary Computation , pp. 3944-3951
    • Hughes, E.1
  • 18
    • 84875506104 scopus 로고    scopus 로고
    • Generalized decomposition
    • Lecture Notes in Computer Science Springer Berlin, Heidelberg
    • I. Giagkiozis, R.C. Purshouse, and P.J. Fleming Generalized decomposition Evolutionary Multi-Criterion Optimization Lecture Notes in Computer Science vol. 7811 2013 Springer Berlin, Heidelberg 428 442
    • (2013) Evolutionary Multi-Criterion Optimization , vol.7811 , pp. 428-442
    • Giagkiozis, I.1    Purshouse, R.C.2    Fleming, P.J.3
  • 19
    • 80053403984 scopus 로고    scopus 로고
    • Multiobjective optimization by decomposition with Pareto-adaptive weight vectors
    • S. Jiang, Z. Cai, J. Zhang, Y.-S. Ong, Multiobjective optimization by decomposition with Pareto-adaptive weight vectors, in: International Conference on Natural Computation, vol. 3, 2011, pp. 1260-1264.
    • (2011) International Conference on Natural Computation , vol.3 , pp. 1260-1264
    • Jiang, S.1    Cai, Z.2    Zhang, J.3    Ong, Y.-S.4
  • 20
    • 83755173966 scopus 로고    scopus 로고
    • Asymmetric Pareto-adaptive scheme for multiobjective optimization
    • Lecture Notes in Computer Science Springer Berlin, Heidelberg
    • S. Jiang, J. Zhang, and Y. Ong Asymmetric Pareto-adaptive scheme for multiobjective optimization Advances in Artificial Intelligence Lecture Notes in Computer Science vol. 7106 2011 Springer Berlin, Heidelberg 351 360
    • (2011) Advances in Artificial Intelligence , vol.7106 , pp. 351-360
    • Jiang, S.1    Zhang, J.2    Ong, Y.3
  • 21
    • 0033318858 scopus 로고    scopus 로고
    • Multiobjective evolutionary algorithms a comparative case study and the strength pareto approach
    • DOI 10.1109/4235.797969
    • E. Zitzler, and L. Thiele Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach IEEE Trans. Evol. Comput. 3 4 1999 257 271 (Pubitemid 30544879)
    • (1999) IEEE Transactions on Evolutionary Computation , vol.3 , Issue.4 , pp. 257-271
    • Zitzler Eckart1    Thiele Lothar2
  • 24
    • 84860905203 scopus 로고    scopus 로고
    • A multiobjective evolutionary algorithm using dynamic weight method
    • F. Gu, H. Liu, and K. Tan A multiobjective evolutionary algorithm using dynamic weight method Int. J. Innov. Comput. Inform. Control 8 5B 2012 3677 3688
    • (2012) Int. J. Innov. Comput. Inform. Control , vol.8 B , Issue.5 , pp. 3677-3688
    • Gu, F.1    Liu, H.2    Tan, K.3
  • 26
    • 33749860403 scopus 로고    scopus 로고
    • A review of multiobjective test problems and a scalable test problem toolkit
    • DOI 10.1109/TEVC.2005.861417
    • S. Huband, P. Hingston, L. Barone, and L. While A review of multiobjective test problems and a scalable test problem toolkit IEEE Trans. Evol. Comput. 10 5 2006 477 506 (Pubitemid 44560739)
    • (2006) IEEE Transactions on Evolutionary Computation , vol.10 , Issue.5 , pp. 477-506
    • Huband, S.1    Hingston, P.2    Barone, L.3    While, L.4
  • 28
    • 0034199979 scopus 로고    scopus 로고
    • Comparison of multiobjective evolutionary algorithms: Empirical results
    • E. Zitzler, K. Deb, and L. Thiele Comparison of multiobjective evolutionary algorithms: empirical results Evol. Comput. 8 2 2000 173 195
    • (2000) Evol. Comput. , vol.8 , Issue.2 , pp. 173-195
    • Zitzler, E.1    Deb, K.2    Thiele, L.3
  • 29
    • 84958959530 scopus 로고    scopus 로고
    • From Recombination of Genes to the Estimation of Distributions: I. Binary Parameters
    • Parallel Problem Solving from Nature - PPSN IV
    • H. Mühlenbein, and G. Paass From recombination of genes to the estimation of distributions I. Binary parameters Parall. Probl. Solving Nat. 1996 178 187 (Pubitemid 126128306)
    • (1996) Lecture Notes In Computer Science , Issue.1141 , pp. 178-187
    • Muehlenbein, H.1    Paass, G.2
  • 30
    • 0035276208 scopus 로고    scopus 로고
    • Drift analysis and average time complexity of evolutionary algorithms
    • DOI 10.1016/S0004-3702(01)00058-3
    • J. He, and X. Yao Drift analysis and average time complexity of evolutionary algorithms Artif. Intell. 127 1 2001 57 85 (Pubitemid 32264935)
    • (2001) Artificial Intelligence , vol.127 , Issue.1 , pp. 57-85
    • He, J.1    Yao, X.2
  • 31
    • 76149097532 scopus 로고    scopus 로고
    • Analysis of computational time of simple estimation of distribution algorithms
    • T. Chen, K. Tang, G. Chen, and X. Yao Analysis of computational time of simple estimation of distribution algorithms IEEE Trans. Evol. Comput. 14 1 2010 1 22
    • (2010) IEEE Trans. Evol. Comput. , vol.14 , Issue.1 , pp. 1-22
    • Chen, T.1    Tang, K.2    Chen, G.3    Yao, X.4
  • 34
    • 71549124337 scopus 로고    scopus 로고
    • Effective linkage learning using low-order statistics and clustering
    • L. Emmendorfer, and A. Pozo Effective linkage learning using low-order statistics and clustering IEEE Trans. Evol. Comput. 13 6 2009 1233 1246
    • (2009) IEEE Trans. Evol. Comput. , vol.13 , Issue.6 , pp. 1233-1246
    • Emmendorfer, L.1    Pozo, A.2
  • 36
    • 0000228665 scopus 로고    scopus 로고
    • The cross-entropy method for combinatorial and continuous optimization
    • R. Rubinstein The cross-entropy method for combinatorial and continuous optimization Methodol. Comput. Appl. Probabi. 1 2 1999 127 190
    • (1999) Methodol. Comput. Appl. Probabi. , vol.1 , Issue.2 , pp. 127-190
    • Rubinstein, R.1
  • 37
    • 0038392442 scopus 로고    scopus 로고
    • Energy functionals, numerical integration and asymptotic equidistribution on the sphere
    • DOI 10.1016/S0885-064X(02)00006-7, PII S0885064X02000067
    • S.B. Damelin, and P.J. Grabner Energy functionals, numerical integration and asymptotic equidistribution on the sphere J. Complex. 19 3 2003 231 246 (Pubitemid 36645453)
    • (2003) Journal of Complexity , vol.19 , Issue.3 , pp. 231-246
    • Damelin, S.B.1    Grabner, P.J.2
  • 38
    • 19044393966 scopus 로고    scopus 로고
    • On scalarizing functions in multiobjective optimization
    • K. Miettinen, and M. Mäkelä On scalarizing functions in multiobjective optimization OR Spectrum 24 2 2002 193 213
    • (2002) OR Spectrum , vol.24 , Issue.2 , pp. 193-213
    • Miettinen, K.1    Mäkelä, M.2
  • 40
    • 35348872664 scopus 로고    scopus 로고
    • Nonconvex Optimization and its Applications Springer
    • M. Grant, S. Boyd, and Y. Ye Disciplined Convex Programming Nonconvex Optimization and its Applications vol. 84 2006 Springer 155 210
    • (2006) Disciplined Convex Programming , vol.84 , pp. 155-210
    • Grant, M.1    Boyd, S.2    Ye, Y.3
  • 45
    • 67349108023 scopus 로고    scopus 로고
    • Multiobjective optimization problems with complicated Pareto sets, MOEA/D and NSGA-II
    • H. Li, and Q. Zhang Multiobjective optimization problems with complicated Pareto sets, MOEA/D and NSGA-II IEEE Trans. Evol. Comput. 13 2 2009 284 302
    • (2009) IEEE Trans. Evol. Comput. , vol.13 , Issue.2 , pp. 284-302
    • Li, H.1    Zhang, Q.2
  • 46
    • 0032689498 scopus 로고    scopus 로고
    • Distributed aero-engine control systems architecture selection using multi-objective optimisation
    • H. Thompson, A. Chipperfield, P. Fleming, and C. Legge Distributed aero-engine control systems architecture selection using multi-objective optimisation Control Eng. Pract. 7 5 1999 655 664
    • (1999) Control Eng. Pract. , vol.7 , Issue.5 , pp. 655-664
    • Thompson, H.1    Chipperfield, A.2    Fleming, P.3    Legge, C.4
  • 47
    • 34548237317 scopus 로고    scopus 로고
    • A hybrid multi-objective immune algorithm for a flow shop scheduling problem with bi-objectives: Weighted mean completion time and weighted mean tardiness
    • DOI 10.1016/j.ins.2007.06.001, PII S0020025507002861
    • R. Tavakkoli-Moghaddam, A. Rahimi-Vahed, and A. Mirzaei A hybrid multi-objective immune algorithm for a flow shop scheduling problem with bi-objectives: weighted mean completion time and weighted mean tardiness Inform. Sci. 177 22 2007 5072 5090 (Pubitemid 47331458)
    • (2007) Information Sciences , vol.177 , Issue.22 , pp. 5072-5090
    • Tavakkoli-Moghaddam, R.1    Rahimi-Vahed, A.2    Mirzaei, A.H.3
  • 48
    • 67349174559 scopus 로고    scopus 로고
    • An effective hybrid particle swarm optimization algorithm for multi-objective flexible job-shop scheduling problem
    • G. Zhang, X. Shao, P. Li, and L. Gao An effective hybrid particle swarm optimization algorithm for multi-objective flexible job-shop scheduling problem Comput. Ind. Eng. 56 4 2009 1309 1318
    • (2009) Comput. Ind. Eng. , vol.56 , Issue.4 , pp. 1309-1318
    • Zhang, G.1    Shao, X.2    Li, P.3    Gao, L.4
  • 49
    • 0344065056 scopus 로고    scopus 로고
    • Distributing points on the sphere, i
    • A. Katanforoush, and M. Shahshahani Distributing points on the sphere, I Exp. Math. 12 2 2003 199 210
    • (2003) Exp. Math. , vol.12 , Issue.2 , pp. 199-210
    • Katanforoush, A.1    Shahshahani, M.2
  • 51
    • 70349419721 scopus 로고    scopus 로고
    • Information theory - The bridge connecting bounded rational game theory and statistical physics
    • D. Wolpert Information theory - the bridge connecting bounded rational game theory and statistical physics Complex Eng. Syst. 2006 262 290
    • (2006) Complex Eng. Syst. , pp. 262-290
    • Wolpert, D.1
  • 52
    • 16244401100 scopus 로고    scopus 로고
    • A stochastic minimum cross-entropy method for combinatorial optimization and rare-event estimation
    • DOI 10.1007/s11009-005-6653-7
    • R. Rubinstein A stochastic minimum cross-entropy method for combinatorial optimization and rare-event estimation Methodol. Comput. Appl. Probabi. 7 1 2005 5 50 (Pubitemid 40465006)
    • (2005) Methodology and Computing in Applied Probability , vol.7 , Issue.1 , pp. 5-50
    • Rubinstein, R.Y.1
  • 53
    • 39149086365 scopus 로고    scopus 로고
    • Generalized cross-entropy methods with applications to rare-event simulation and optimization
    • Z. Botev, D. Kroese, and T. Taimre Generalized cross-entropy methods with applications to rare-event simulation and optimization Simulation 83 11 2007 785
    • (2007) Simulation , vol.83 , Issue.11 , pp. 785
    • Botev, Z.1    Kroese, D.2    Taimre, T.3
  • 55
    • 0002233396 scopus 로고
    • Natural exponential families with quadratic variance functions
    • C.N. Morris Natural exponential families with quadratic variance functions Ann. Stat. 10 1982 65 80
    • (1982) Ann. Stat. , vol.10 , pp. 65-80
    • Morris, C.N.1
  • 56
    • 40249102027 scopus 로고    scopus 로고
    • RM-MEDA: A regularity model-based multiobjective estimation of distribution algorithm
    • DOI 10.1109/TEVC.2007.894202
    • Q. Zhang, A. Zhou, and Y. Jin RM-MEDA: a regularity model-based multiobjective estimation of distribution algorithm IEEE Trans. Evol. Comput. 12 1 2008 41 63 (Pubitemid 351330331)
    • (2008) IEEE Transactions on Evolutionary Computation , vol.12 , Issue.1 , pp. 41-63
    • Zhang, Q.1    Zhou, A.2    Jin, Y.3
  • 58
    • 33750254292 scopus 로고    scopus 로고
    • Multi-objective test problems, linkages, and evolutionary methodologies
    • GECCO 2006 - Genetic and Evolutionary Computation Conference
    • K. Deb, A. Sinha, and S. Kukkonen Multi-objective test problems, linkages, and evolutionary methodologies Conference on Genetic and Evolutionary Computation 2006 ACM 1141 1148 (Pubitemid 44611445)
    • (2006) GECCO 2006 - Genetic and Evolutionary Computation Conference , vol.2 , pp. 1141-1148
    • Deb, K.1    Sinha, A.2    Kukkonen, S.3
  • 60
    • 24344484399 scopus 로고    scopus 로고
    • The naive MIDEA: A baseline multi-objective EA
    • Evolutionary Multi-Criterion Optimization - Third International Conference, EMO 2005
    • P. Bosman, and D. Thierens The naive MIDEA: a baseline multi-objective EA Evolutionary Multi-Criterion Optimization 2005 Springer 428 442 (Pubitemid 41251781)
    • (2005) Lecture Notes in Computer Science , vol.3410 , pp. 428-442
    • Bosman, P.A.N.1    Thierens, D.2
  • 62
    • 84869397891 scopus 로고    scopus 로고
    • Multiobjective evolutionary algorithms: Classifications, analyses, and new innovations
    • D. Van Veldhuizen, Multiobjective evolutionary algorithms: classifications, analyses, and new innovations, in: Evolutionary Computation, 1999.
    • (1999) Evolutionary Computation
    • Van Veldhuizen, D.1
  • 63
    • 36549051604 scopus 로고    scopus 로고
    • On the evolutionary optimization of many conflicting objectives
    • DOI 10.1109/TEVC.2007.910138
    • R. Purshouse, and P. Fleming On the evolutionary optimization of many conflicting objectives IEEE Trans. Evol. Comput. 11 6 2007 770 784 (Pubitemid 350187490)
    • (2007) IEEE Transactions on Evolutionary Computation , vol.11 , Issue.6 , pp. 770-784
    • Purshouse, R.C.1    Fleming, P.J.2
  • 64
    • 84866846120 scopus 로고    scopus 로고
    • Diagnostic assessment of search controls and failure modes in many - Objective evolutionary optimization
    • D. Hadka, and P. Reed Diagnostic assessment of search controls and failure modes in many - objective evolutionary optimization Evol. Comput. 20 3 2012 423 452
    • (2012) Evol. Comput. , vol.20 , Issue.3 , pp. 423-452
    • Hadka, D.1    Reed, P.2
  • 65
  • 66
    • 84855997019 scopus 로고    scopus 로고
    • CVXGEN: A code generator for embedded convex optimization
    • J. Mattingley, and S. Boyd CVXGEN: a code generator for embedded convex optimization Optimiz. Eng. 2012 1 27
    • (2012) Optimiz. Eng. , pp. 1-27
    • Mattingley, J.1    Boyd, S.2


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