메뉴 건너뛰기




Volumn 197, Issue 33-40, 2008, Pages 2719-2731

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

Author keywords

Approximation model management; Engineering optimization; Micro multi objective genetic algorithm; Multi objective optimization; Trust region

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; GENETIC ALGORITHMS; ITERATIVE METHODS; PARETO PRINCIPLE;

EID: 44749088342     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.12.014     Document Type: Article
Times cited : (66)

References (32)
  • 2
    • 84939004610 scopus 로고
    • Optimality and non-scalar-valued performance criteria
    • Zadeh L. Optimality and non-scalar-valued performance criteria. IEEE Trans. Automat. Control 8 (1963) 59-60
    • (1963) IEEE Trans. Automat. Control , vol.8 , pp. 59-60
    • Zadeh, L.1
  • 3
    • 0015094608 scopus 로고
    • On a bicriterion formulation of the problems of integrated system identification and system optimization
    • Haimes Y.Y., Lasdon L.S., and Wismer D.A. On a bicriterion formulation of the problems of integrated system identification and system optimization. IEEE Trans. Syst. Man Cybernet 1 3 (1971) 296-297
    • (1971) IEEE Trans. Syst. Man Cybernet , vol.1 , Issue.3 , pp. 296-297
    • Haimes, Y.Y.1    Lasdon, L.S.2    Wismer, D.A.3
  • 4
    • 0001961313 scopus 로고
    • Compromise programming
    • Cochrane J.L., and Zeleny M. (Eds), University of South Carolina Press, Columbia
    • Zeleny M. Compromise programming. In: Cochrane J.L., and Zeleny M. (Eds). Multiple Criteria Decision Making (1973), University of South Carolina Press, Columbia
    • (1973) Multiple Criteria Decision Making
    • Zeleny, M.1
  • 5
    • 0019049104 scopus 로고
    • A new scalar equivalence for Pareto optimization
    • Corley H.W. A new scalar equivalence for Pareto optimization. IEEE Trans. Automat. Control 25 4 (1980) 829-830
    • (1980) IEEE Trans. Automat. Control , vol.25 , Issue.4 , pp. 829-830
    • Corley, H.W.1
  • 6
    • 44749090490 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 7
    • 0000852513 scopus 로고
    • Multiobjective optimization using nondominated sorting in genetic algorithms
    • Srinivas N., and Deb K. Multiobjective optimization using nondominated sorting in genetic algorithms. IEEE Trans. Evolut. Comput. 2 3 (1994) 221-248
    • (1994) IEEE Trans. Evolut. Comput. , vol.2 , Issue.3 , pp. 221-248
    • Srinivas, N.1    Deb, K.2
  • 8
    • 0033318858 scopus 로고    scopus 로고
    • Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach
    • Zitzler E., and Thiele L. Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach. IEEE Trans. Evolut. Comput. 3 4 (1999) 292-301
    • (1999) IEEE Trans. Evolut. Comput. , vol.3 , Issue.4 , pp. 292-301
    • Zitzler, E.1    Thiele, L.2
  • 10
    • 44749088641 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 11
    • 85087598208 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 12
    • 44749086829 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 13
    • 44749084150 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 14
    • 44749094685 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 15
    • 0036747856 scopus 로고    scopus 로고
    • Managing approximation models in multiobjective optimization
    • Yang B.S., Yeun Y.S., and Ruy W.S. Managing approximation models in multiobjective optimization. Struct. Multidiscipl. Optim. 24 2 (2002) 141-156
    • (2002) Struct. Multidiscipl. Optim. , vol.24 , Issue.2 , pp. 141-156
    • Yang, B.S.1    Yeun, Y.S.2    Ruy, W.S.3
  • 16
    • 31744437433 scopus 로고    scopus 로고
    • ParEGO: a hybrid algorithm with on-line landscape approximation for expensive multiobjective optimization problems
    • Knowles J. ParEGO: a hybrid algorithm with on-line landscape approximation for expensive multiobjective optimization problems. IEEE Trans. Evolut. Comput. 10 1 (2005) 50-66
    • (2005) IEEE Trans. Evolut. Comput. , vol.10 , Issue.1 , pp. 50-66
    • Knowles, J.1
  • 18
    • 0003098328 scopus 로고
    • Exploratory designs for computational experiments
    • Morris M.D., and Mitchell T.J. Exploratory designs for computational experiments. J. Statist. Planning Inference 43 3 (1995) 381-402
    • (1995) J. Statist. Planning Inference , vol.43 , Issue.3 , pp. 381-402
    • Morris, M.D.1    Mitchell, T.J.2
  • 19
    • 44749094113 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 20
    • 0027642608 scopus 로고
    • Calculation of the move limits for the sequential linear programming method
    • Chen T.Y. Calculation of the move limits for the sequential linear programming method. Int. J. Numer. Methods Engrg. 36 (1993) 2661-2679
    • (1993) Int. J. Numer. Methods Engrg. , vol.36 , pp. 2661-2679
    • Chen, T.Y.1
  • 21
    • 0000968422 scopus 로고
    • Two point exponential approximation method for structural optimization
    • Fadel G.M., Riley M.F., and Barthelemy J.F.M. Two point exponential approximation method for structural optimization. Struct. Optim. 2 (1990) 117-124
    • (1990) Struct. Optim. , vol.2 , pp. 117-124
    • Fadel, G.M.1    Riley, M.F.2    Barthelemy, J.F.M.3
  • 23
    • 0031998787 scopus 로고    scopus 로고
    • A trust-region framework for managing the use of approximation models in optimization
    • Alexandrov N.M., Dennis Jr. J.E., Lewis R.M., and Torczon V. A trust-region framework for managing the use of approximation models in optimization. Struct. Optim. 15 (1998) 16-23
    • (1998) Struct. Optim. , vol.15 , pp. 16-23
    • Alexandrov, N.M.1    Dennis Jr., J.E.2    Lewis, R.M.3    Torczon, V.4
  • 24
    • 84983126732 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 25
    • 8644245071 scopus 로고    scopus 로고
    • Interactive multiobjective optimization design strategy for decision based design
    • Tappeta R.V., and Rosenberger W.F. Interactive multiobjective optimization design strategy for decision based design. J. Mech. Des., Trans. ASME 123 2 (2001) 205-215
    • (2001) J. Mech. Des., Trans. ASME , vol.123 , Issue.2 , pp. 205-215
    • Tappeta, R.V.1    Rosenberger, W.F.2
  • 26
    • 0031698375 scopus 로고    scopus 로고
    • Multiobjective optimization and multiple constraint handling with evolutionary algorithms - Part II: application example
    • Fonseca C.M., and Fleming P.J. Multiobjective optimization and multiple constraint handling with evolutionary algorithms - Part II: application example. IEEE Trans. Syst. Man Cybern. A 28 1 (1998) 38-47
    • (1998) IEEE Trans. Syst. Man Cybern. A , vol.28 , Issue.1 , pp. 38-47
    • Fonseca, C.M.1    Fleming, P.J.2
  • 27
    • 0001720606 scopus 로고
    • A variant of evolution strategies for vector optimization
    • Springer-Verlag
    • Kursawe F. A variant of evolution strategies for vector optimization. Parallel Problem Solving from Nature (1990), Springer-Verlag
    • (1990) Parallel Problem Solving from Nature
    • Kursawe, F.1
  • 29
    • 2342651539 scopus 로고    scopus 로고
    • Multi-objective optimal design of truss structure with immune algorithm
    • Luh G.C., and Chueh C.H. Multi-objective optimal design of truss structure with immune algorithm. Comput. Struct. 82 11 (2004) 829-844
    • (2004) Comput. Struct. , vol.82 , Issue.11 , pp. 829-844
    • Luh, G.C.1    Chueh, C.H.2
  • 30
    • 0032095230 scopus 로고    scopus 로고
    • Response surface approximations for structural optimization
    • Roux W.J., Stander N., and Haftka R.T. Response surface approximations for structural optimization. Int. J. Numer. Methods Engrg. 42 3 (1998) 517-534
    • (1998) Int. J. Numer. Methods Engrg. , vol.42 , Issue.3 , pp. 517-534
    • Roux, W.J.1    Stander, N.2    Haftka, R.T.3
  • 31
    • 0142075231 scopus 로고    scopus 로고
    • Robust design of structures using convex models
    • Au F.T.K., Cheng Y.S., Tham L.G., and Zeng G.W. Robust design of structures using convex models. Comput. Struct. 81 28 (2003) 2611-2619
    • (2003) Comput. Struct. , vol.81 , Issue.28 , pp. 2611-2619
    • Au, F.T.K.1    Cheng, Y.S.2    Tham, L.G.3    Zeng, G.W.4
  • 32
    • 0037080262 scopus 로고    scopus 로고
    • Variable blankholder force in U-shaped part forming for eliminating springback error
    • Liu G., Lin Z.Q., Xu W.L., and Bao Y.X. Variable blankholder force in U-shaped part forming for eliminating springback error. J. Mater. Process. Technol. 120 1 (2002) 259-264
    • (2002) J. Mater. Process. Technol. , vol.120 , Issue.1 , pp. 259-264
    • Liu, G.1    Lin, Z.Q.2    Xu, W.L.3    Bao, Y.X.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.