A novel multi-objective optimization method based on an approximation model management technique

In this paper, a novel multi-objective optimization method is suggested based on an approximation model management technique. It is a sequential approximation method, in which a multi-objective optimization with approximation models subject to design variable move limits is iterated until convergenc...

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Vydané v:	Computer methods in applied mechanics and engineering Ročník 197; číslo 33; s. 2719 - 2731
Hlavní autori:	Liu, G.P., Han, X., Jiang, C.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier B.V 01.06.2008 Elsevier
Predmet:	Approximation model management Computational techniques Engineering optimization Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical methods in physics Measurement and testing methods Micro multi-objective genetic algorithm Multi-objective optimization Physics Solid mechanics Structural and continuum mechanics Trust region Approximation model management Multi-objective optimization Micro multi-objective genetic algorithm Trust region Engineering optimization Pareto optimum Optimization method Multiobjective programming Modeling Optimization Confidence interval Model matching Genetic algorithm Sequential method Experimental design Response surface System identification
ISSN:	0045-7825, 1879-2138
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Abstract	In this paper, a novel multi-objective optimization method is suggested based on an approximation model management technique. It is a sequential approximation method, in which a multi-objective optimization with approximation models subject to design variable move limits is iterated until convergence. In each iteration step, the approximation models are constructed by the response surface approximations with the samples which are obtained from the design of experiments, and a Pareto optimal set predicted by the approximations is identified through a multi-objective genetic algorithm. According to the prediction of the approximation models, a move limits updating strategy is employed to determine the design variable move limits for the next iteration. At the end of each iteration step, some uniform distributed points chosen from the predictive Pareto optimal frontier are verified by the high fidelity models and the obtained actual Pareto optimal set is stored in an external archive. The high efficiency of the present method is demonstrated by four different test functions and two engineering applications.
AbstractList	In this paper, a novel multi-objective optimization method is suggested based on an approximation model management technique. It is a sequential approximation method, in which a multi-objective optimization with approximation models subject to design variable move limits is iterated until convergence. In each iteration step, the approximation models are constructed by the response surface approximations with the samples which are obtained from the design of experiments, and a Pareto optimal set predicted by the approximations is identified through a multi-objective genetic algorithm. According to the prediction of the approximation models, a move limits updating strategy is employed to determine the design variable move limits for the next iteration. At the end of each iteration step, some uniform distributed points chosen from the predictive Pareto optimal frontier are verified by the high fidelity models and the obtained actual Pareto optimal set is stored in an external archive. The high efficiency of the present method is demonstrated by four different test functions and two engineering applications.
Author	Han, X. Jiang, C. Liu, G.P.
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References	Zadeh (bib2) 1963; 8 Chen (bib20) 1993; 36 Zeleny (bib4) 1973 C.L. Bloebaum, W. Hong, A. Peck, Improved moved limit strategy for approximate optimization, in: Proc. of the Fifth AIAA/USAF/NASA/ISSOM Symposium, Panama City, FL, 1994. P.K.S. Nain, K. Deb, A computationally effective multi-objective search and optimization technique using coarse-to-fine grain modeling, IITK, Kanpur, India, Tech. Rep. Kangal Rep. 2002005, 2002. Alexandrov, Dennis, Lewis, Torczon (bib23) 1998; 15 Corley (bib5) 1980; 25 C.M. Fonseca, P.J. Fleming, Genetic algorithms for multiobjective optimization: formulation, discussion and generalization, in: Proc. of the Fifth Int. Conf. on Genetic Algorithms, San Mateo, CA, 1993. Dennis, Schnabel (bib22) 1983 Knowles (bib16) 2005; 10 Yang, Yeun, Ruy (bib15) 2002; 24 Zitzler, Thiele (bib8) 1999; 3 A.G. Cunha, A. Vieira, A multi-objective evolutionary algorithm using approximate fitness evaluation, in: G. Bugeda, J.A. Dsidri, J. Periaux, M. Schoenauer, G. Winter, Eds., Proc. Int. Congr. Evol. Methods for Design, Optimization and Control With Applications to Industrial Problems EUROGEN, 2003. Deb, Pratap, Agarwal, Meyarivan (bib28) 2002; 6 Tappeta, Rosenberger (bib25) 2001; 123 Haimes, Lasdon, Wismer (bib3) 1971; 1 Kursawe (bib27) 1990 Au, Cheng, Tham, Zeng (bib31) 2003; 81 A.G. Cunha, A.S. Vieira, A hybrid multi-objective evolutionary algorithm using an inverse neural network, in: Proc. Hybrid Metaheuristics (HM 2004) Workshop at ECAI 2004, Valencia, Spain, 2004, pp. 25–30. Deb, Pratap, Agarwal, Meyarivan (bib9) 2002; 6 Fonseca, Fleming (bib26) 1998; 28 G.P. Liu, X. Han, A micro multi-objective genetic algorithm for multi-objective optimizations, in: The Fourth China-Japan–Korea Joint Symp. on Optimization of Structural and Mechanical Systems, Kunming, China, 2006. Liu, Lin, Xu, Bao (bib32) 2002; 120 Draper, Smith (bib17) 1998 Roux, Stander, Haftka (bib30) 1998; 42 Deb (bib1) 2001 B. Wilson, D.J. Cappelleri, T.W. Simpson, M.I. Frecker, Efficient Pareto frontier exploration using surrogate approximations, in: 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, 2000. Morris, Mitchell (bib18) 1995; 43 Fadel, Riley, Barthelemy (bib21) 1990; 2 Srinivas, Deb (bib7) 1994; 2 Y. Li, G.M. Fadel, M.M. Wiecek, Approximating Pareto curves using the hyper-ellipse, in: 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, St. Louis, 1998. Luh, Chueh (bib29) 2004; 82 10.1016/j.cma.2007.12.014_bib13 10.1016/j.cma.2007.12.014_bib14 10.1016/j.cma.2007.12.014_bib11 Srinivas (10.1016/j.cma.2007.12.014_bib7) 1994; 2 10.1016/j.cma.2007.12.014_bib12 10.1016/j.cma.2007.12.014_bib10 Dennis (10.1016/j.cma.2007.12.014_bib22) 1983 Luh (10.1016/j.cma.2007.12.014_bib29) 2004; 82 10.1016/j.cma.2007.12.014_bib19 Deb (10.1016/j.cma.2007.12.014_bib1) 2001 Haimes (10.1016/j.cma.2007.12.014_bib3) 1971; 1 Tappeta (10.1016/j.cma.2007.12.014_bib25) 2001; 123 Kursawe (10.1016/j.cma.2007.12.014_bib27) 1990 Deb (10.1016/j.cma.2007.12.014_bib9) 2002; 6 Draper (10.1016/j.cma.2007.12.014_bib17) 1998 Deb (10.1016/j.cma.2007.12.014_bib28) 2002; 6 Au (10.1016/j.cma.2007.12.014_bib31) 2003; 81 Morris (10.1016/j.cma.2007.12.014_bib18) 1995; 43 Knowles (10.1016/j.cma.2007.12.014_bib16) 2005; 10 Roux (10.1016/j.cma.2007.12.014_bib30) 1998; 42 Fadel (10.1016/j.cma.2007.12.014_bib21) 1990; 2 10.1016/j.cma.2007.12.014_bib24 Zeleny (10.1016/j.cma.2007.12.014_bib4) 1973 Fonseca (10.1016/j.cma.2007.12.014_bib26) 1998; 28 Zitzler (10.1016/j.cma.2007.12.014_bib8) 1999; 3 Alexandrov (10.1016/j.cma.2007.12.014_bib23) 1998; 15 Corley (10.1016/j.cma.2007.12.014_bib5) 1980; 25 Yang (10.1016/j.cma.2007.12.014_bib15) 2002; 24 Chen (10.1016/j.cma.2007.12.014_bib20) 1993; 36 10.1016/j.cma.2007.12.014_bib6 Zadeh (10.1016/j.cma.2007.12.014_bib2) 1963; 8 Liu (10.1016/j.cma.2007.12.014_bib32) 2002; 120
References_xml	– reference: B. Wilson, D.J. Cappelleri, T.W. Simpson, M.I. Frecker, Efficient Pareto frontier exploration using surrogate approximations, in: 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, 2000. – volume: 15 start-page: 16 year: 1998 end-page: 23 ident: bib23 article-title: A trust-region framework for managing the use of approximation models in optimization publication-title: Struct. Optim. – volume: 24 start-page: 141 year: 2002 end-page: 156 ident: bib15 article-title: Managing approximation models in multiobjective optimization publication-title: Struct. Multidiscipl. Optim. – reference: P.K.S. Nain, K. Deb, A computationally effective multi-objective search and optimization technique using coarse-to-fine grain modeling, IITK, Kanpur, India, Tech. Rep. Kangal Rep. 2002005, 2002. – volume: 82 start-page: 829 year: 2004 end-page: 844 ident: bib29 article-title: Multi-objective optimal design of truss structure with immune algorithm publication-title: Comput. Struct. – year: 1973 ident: bib4 article-title: Compromise programming publication-title: Multiple Criteria Decision Making – volume: 10 start-page: 50 year: 2005 end-page: 66 ident: bib16 article-title: ParEGO: a hybrid algorithm with on-line landscape approximation for expensive multiobjective optimization problems publication-title: IEEE Trans. Evolut. Comput. – volume: 3 start-page: 292 year: 1999 end-page: 301 ident: bib8 article-title: Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach publication-title: IEEE Trans. Evolut. Comput. – reference: A.G. Cunha, A. Vieira, A multi-objective evolutionary algorithm using approximate fitness evaluation, in: G. Bugeda, J.A. Dsidri, J. Periaux, M. Schoenauer, G. Winter, Eds., Proc. Int. Congr. Evol. Methods for Design, Optimization and Control With Applications to Industrial Problems EUROGEN, 2003. – year: 2001 ident: bib1 article-title: Multi-objective Optimization using Evolutionary Algorithms – volume: 36 start-page: 2661 year: 1993 end-page: 2679 ident: bib20 article-title: Calculation of the move limits for the sequential linear programming method publication-title: Int. J. Numer. Methods Engrg. – reference: A.G. Cunha, A.S. Vieira, A hybrid multi-objective evolutionary algorithm using an inverse neural network, in: Proc. Hybrid Metaheuristics (HM 2004) Workshop at ECAI 2004, Valencia, Spain, 2004, pp. 25–30. – volume: 43 start-page: 381 year: 1995 end-page: 402 ident: bib18 article-title: Exploratory designs for computational experiments publication-title: J. Statist. Planning Inference – volume: 2 start-page: 117 year: 1990 end-page: 124 ident: bib21 article-title: Two point exponential approximation method for structural optimization publication-title: Struct. Optim. – year: 1998 ident: bib17 article-title: Applied Regression Analysis – volume: 1 start-page: 296 year: 1971 end-page: 297 ident: bib3 article-title: On a bicriterion formulation of the problems of integrated system identification and system optimization publication-title: IEEE Trans. Syst. Man Cybernet – reference: C.M. Fonseca, P.J. Fleming, Genetic algorithms for multiobjective optimization: formulation, discussion and generalization, in: Proc. of the Fifth Int. Conf. on Genetic Algorithms, San Mateo, CA, 1993. – volume: 81 start-page: 2611 year: 2003 end-page: 2619 ident: bib31 article-title: Robust design of structures using convex models publication-title: Comput. Struct. – volume: 2 start-page: 221 year: 1994 end-page: 248 ident: bib7 article-title: Multiobjective optimization using nondominated sorting in genetic algorithms publication-title: IEEE Trans. Evolut. Comput. – volume: 8 start-page: 59 year: 1963 end-page: 60 ident: bib2 article-title: Optimality and non-scalar-valued performance criteria publication-title: IEEE Trans. Automat. Control – volume: 6 start-page: 182 year: 2002 end-page: 197 ident: bib28 article-title: A fast and elitist multiobjective genetic algorithm: NSGAII publication-title: IEEE Trans. Evolut. Comput. – volume: 6 start-page: 182 year: 2002 end-page: 197 ident: bib9 article-title: A fast and elitist multiobjective genetic algorithm: NSGAII publication-title: IEEE Trans. Evolut. Comput. – volume: 123 start-page: 205 year: 2001 end-page: 215 ident: bib25 article-title: Interactive multiobjective optimization design strategy for decision based design publication-title: J. Mech. Des., Trans. ASME – volume: 28 start-page: 38 year: 1998 end-page: 47 ident: bib26 article-title: Multiobjective optimization and multiple constraint handling with evolutionary algorithms – Part II: application example publication-title: IEEE Trans. Syst. Man Cybern. A – volume: 25 start-page: 829 year: 1980 end-page: 830 ident: bib5 article-title: A new scalar equivalence for Pareto optimization publication-title: IEEE Trans. Automat. Control – year: 1983 ident: bib22 article-title: Numerical Methods for Unconstrained Optimization and Nonlinear Equations – reference: Y. Li, G.M. Fadel, M.M. Wiecek, Approximating Pareto curves using the hyper-ellipse, in: 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, St. Louis, 1998. – reference: C.L. Bloebaum, W. Hong, A. Peck, Improved moved limit strategy for approximate optimization, in: Proc. of the Fifth AIAA/USAF/NASA/ISSOM Symposium, Panama City, FL, 1994. – reference: G.P. Liu, X. Han, A micro multi-objective genetic algorithm for multi-objective optimizations, in: The Fourth China-Japan–Korea Joint Symp. on Optimization of Structural and Mechanical Systems, Kunming, China, 2006. – volume: 42 start-page: 517 year: 1998 end-page: 534 ident: bib30 article-title: Response surface approximations for structural optimization publication-title: Int. J. Numer. Methods Engrg. – year: 1990 ident: bib27 article-title: A variant of evolution strategies for vector optimization publication-title: Parallel Problem Solving from Nature – volume: 120 start-page: 259 year: 2002 end-page: 264 ident: bib32 article-title: Variable blankholder force in U-shaped part forming for eliminating springback error publication-title: J. Mater. Process. Technol. – volume: 28 start-page: 38 issue: 1 year: 1998 ident: 10.1016/j.cma.2007.12.014_bib26 article-title: Multiobjective optimization and multiple constraint handling with evolutionary algorithms – Part II: application example publication-title: IEEE Trans. Syst. Man Cybern. A doi: 10.1109/3468.650320 – year: 2001 ident: 10.1016/j.cma.2007.12.014_bib1 – volume: 8 start-page: 59 year: 1963 ident: 10.1016/j.cma.2007.12.014_bib2 article-title: Optimality and non-scalar-valued performance criteria publication-title: IEEE Trans. Automat. Control doi: 10.1109/TAC.1963.1105511 – ident: 10.1016/j.cma.2007.12.014_bib19 doi: 10.2514/6.1994-4337 – volume: 2 start-page: 117 year: 1990 ident: 10.1016/j.cma.2007.12.014_bib21 article-title: Two point exponential approximation method for structural optimization publication-title: Struct. Optim. doi: 10.1007/BF01745459 – volume: 2 start-page: 221 issue: 3 year: 1994 ident: 10.1016/j.cma.2007.12.014_bib7 article-title: Multiobjective optimization using nondominated sorting in genetic algorithms publication-title: IEEE Trans. Evolut. Comput. doi: 10.1162/evco.1994.2.3.221 – volume: 82 start-page: 829 issue: 11 year: 2004 ident: 10.1016/j.cma.2007.12.014_bib29 article-title: Multi-objective optimal design of truss structure with immune algorithm publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2004.03.003 – volume: 43 start-page: 381 issue: 3 year: 1995 ident: 10.1016/j.cma.2007.12.014_bib18 article-title: Exploratory designs for computational experiments publication-title: J. Statist. Planning Inference doi: 10.1016/0378-3758(94)00035-T – volume: 6 start-page: 182 issue: 2 year: 2002 ident: 10.1016/j.cma.2007.12.014_bib9 article-title: A fast and elitist multiobjective genetic algorithm: NSGAII publication-title: IEEE Trans. Evolut. Comput. doi: 10.1109/4235.996017 – ident: 10.1016/j.cma.2007.12.014_bib13 – volume: 123 start-page: 205 issue: 2 year: 2001 ident: 10.1016/j.cma.2007.12.014_bib25 article-title: Interactive multiobjective optimization design strategy for decision based design publication-title: J. Mech. Des., Trans. ASME doi: 10.1115/1.1358302 – year: 1990 ident: 10.1016/j.cma.2007.12.014_bib27 article-title: A variant of evolution strategies for vector optimization – ident: 10.1016/j.cma.2007.12.014_bib11 doi: 10.2514/6.2000-4895 – ident: 10.1016/j.cma.2007.12.014_bib12 – ident: 10.1016/j.cma.2007.12.014_bib10 – volume: 81 start-page: 2611 issue: 28 year: 2003 ident: 10.1016/j.cma.2007.12.014_bib31 article-title: Robust design of structures using convex models publication-title: Comput. Struct. doi: 10.1016/S0045-7949(03)00322-5 – volume: 1 start-page: 296 issue: 3 year: 1971 ident: 10.1016/j.cma.2007.12.014_bib3 article-title: On a bicriterion formulation of the problems of integrated system identification and system optimization publication-title: IEEE Trans. Syst. Man Cybernet doi: 10.1109/TSMC.1971.4308298 – volume: 3 start-page: 292 issue: 4 year: 1999 ident: 10.1016/j.cma.2007.12.014_bib8 article-title: Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach publication-title: IEEE Trans. Evolut. Comput. doi: 10.1109/4235.797969 – volume: 36 start-page: 2661 year: 1993 ident: 10.1016/j.cma.2007.12.014_bib20 article-title: Calculation of the move limits for the sequential linear programming method publication-title: Int. J. Numer. Methods Engrg. doi: 10.1002/nme.1620361510 – volume: 6 start-page: 182 issue: 2 year: 2002 ident: 10.1016/j.cma.2007.12.014_bib28 article-title: A fast and elitist multiobjective genetic algorithm: NSGAII publication-title: IEEE Trans. Evolut. Comput. doi: 10.1109/4235.996017 – volume: 24 start-page: 141 issue: 2 year: 2002 ident: 10.1016/j.cma.2007.12.014_bib15 article-title: Managing approximation models in multiobjective optimization publication-title: Struct. Multidiscipl. Optim. doi: 10.1007/s00158-002-0224-0 – ident: 10.1016/j.cma.2007.12.014_bib6 – volume: 25 start-page: 829 issue: 4 year: 1980 ident: 10.1016/j.cma.2007.12.014_bib5 article-title: A new scalar equivalence for Pareto optimization publication-title: IEEE Trans. Automat. Control doi: 10.1109/TAC.1980.1102401 – volume: 10 start-page: 50 issue: 1 year: 2005 ident: 10.1016/j.cma.2007.12.014_bib16 article-title: ParEGO: a hybrid algorithm with on-line landscape approximation for expensive multiobjective optimization problems publication-title: IEEE Trans. Evolut. Comput. doi: 10.1109/TEVC.2005.851274 – ident: 10.1016/j.cma.2007.12.014_bib14 – volume: 42 start-page: 517 issue: 3 year: 1998 ident: 10.1016/j.cma.2007.12.014_bib30 article-title: Response surface approximations for structural optimization publication-title: Int. J. Numer. Methods Engrg. doi: 10.1002/(SICI)1097-0207(19980615)42:3<517::AID-NME370>3.0.CO;2-L – year: 1983 ident: 10.1016/j.cma.2007.12.014_bib22 – year: 1973 ident: 10.1016/j.cma.2007.12.014_bib4 article-title: Compromise programming – ident: 10.1016/j.cma.2007.12.014_bib24 doi: 10.2514/6.1998-4961 – volume: 120 start-page: 259 issue: 1 year: 2002 ident: 10.1016/j.cma.2007.12.014_bib32 article-title: Variable blankholder force in U-shaped part forming for eliminating springback error publication-title: J. Mater. Process. Technol. doi: 10.1016/S0924-0136(01)01110-4 – year: 1998 ident: 10.1016/j.cma.2007.12.014_bib17 – volume: 15 start-page: 16 year: 1998 ident: 10.1016/j.cma.2007.12.014_bib23 article-title: A trust-region framework for managing the use of approximation models in optimization publication-title: Struct. Optim. doi: 10.1007/BF01197433
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Snippet	In this paper, a novel multi-objective optimization method is suggested based on an approximation model management technique. It is a sequential approximation...
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SubjectTerms	Approximation model management Computational techniques Engineering optimization Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical methods in physics Measurement and testing methods Micro multi-objective genetic algorithm Multi-objective optimization Physics Solid mechanics Structural and continuum mechanics Trust region
Title	A novel multi-objective optimization method based on an approximation model management technique
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