메뉴 건너뛰기




Volumn 24, Issue 2, 2009, Pages 157-174

Clustering aided approach for decision making in computationally expensive multiobjective optimization

Author keywords

Efficient methods; Learning oriented methods; Multicriteria optimization; Multiple objective optimization; Pareto optimality

Indexed keywords

INTERNAL COMBUSTION ENGINES; MACHINE DESIGN; PARETO PRINCIPLE; VIBRATION CONTROL;

EID: 61349135394     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780802525331     Document Type: Article
Times cited : (13)

References (59)
  • 1
    • 46149083385 scopus 로고    scopus 로고
    • Licentiate Thesis, Jyväskylä Licentiate Thesis in Computing, University of Jyväskylä
    • T. Aittokoski, On optimization of simulation based design, Licentiate Thesis, Jyväskylä Licentiate Thesis in Computing, University of Jyväskylä, Vol. 8, 2007.
    • (2007) On optimization of simulation based design , vol.8
    • Aittokoski, T.1
  • 2
    • 46149126443 scopus 로고    scopus 로고
    • Cost effective simulation-based multiobjective optimization in performance of internal combustion engine
    • T. Aittokoski and K. Miettinen, Cost effective simulation-based multiobjective optimization in performance of internal combustion engine, Eng. Optim. 40(7) (2008), pp. 593-612.
    • (2008) Eng. Optim , vol.40 , Issue.7 , pp. 593-612
    • Aittokoski, T.1    Miettinen, K.2
  • 4
    • 0001075482 scopus 로고
    • Modified controlled random search algorithms
    • M.M. Ali and C. Storey, Modified controlled random search algorithms, Int. J. Comput. Math. 54 (1994), pp. 229-235.
    • (1994) Int. J. Comput. Math , vol.54 , pp. 229-235
    • Ali, M.M.1    Storey, C.2
  • 5
    • 61349106933 scopus 로고    scopus 로고
    • Ph.D. Thesis, Jyväskylä Studies in Computing, University of Jyväskylä
    • S. Äyrämö, Knowledge mining using robust clustering. Ph.D. Thesis, Jyväskylä Studies in Computing, University of Jyväskylä, Vol. 63, 2006.
    • (2006) Knowledge mining using robust clustering , vol.63
    • Äyrämö, S.1
  • 6
    • 61349188694 scopus 로고    scopus 로고
    • Robust refinement of initial prototypes for partitioning-based clustering algorithms
    • C.H. Skiadas, ed, World Scientific, Singapore
    • S. Äyrämö, T. Kärkkäinen, and K. Majava, Robust refinement of initial prototypes for partitioning-based clustering algorithms, in Recent Advances in Stochastic Modeling and Data Analysis, C.H. Skiadas, ed., World Scientific, Singapore, 2007, pp. 473-482.
    • (2007) Recent Advances in Stochastic Modeling and Data Analysis , pp. 473-482
    • Äyrämö, S.1    Kärkkäinen, T.2    Majava, K.3
  • 8
    • 0002550769 scopus 로고    scopus 로고
    • Refining initial points for K-means clustering
    • 24-27 July, Madison, WI, J.W. Shavlik, ed, Morgan Kaufmann Publishers, San Francisco, CA, pp
    • P.S. Bradley and U.M. Fayyad, Refining initial points for K-means clustering, Proceedings of the Fifteenth international Conference on Machine Learning, 24-27 July 1998, Madison, WI, J.W. Shavlik, ed., Morgan Kaufmann Publishers, San Francisco, CA, pp. 91-99.
    • (1998) Proceedings of the Fifteenth international Conference on Machine Learning , pp. 91-99
    • Bradley, P.S.1    Fayyad, U.M.2
  • 12
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • A. Dempster, N. Laird and D. Rubin, Maximum likelihood from incomplete data via the EM algorithm, J. R. Stat. Soc., Ser. B, 39(1) (1977), pp. 1-38.
    • (1977) J. R. Stat. Soc., Ser. B , vol.39 , Issue.1 , pp. 1-38
    • Dempster, A.1    Laird, N.2    Rubin, D.3
  • 13
    • 0001953837 scopus 로고
    • Genetic algorithms for multiobjective optimization: Formulation, discussion and generalization
    • Urbana-Champaign, IL, pp
    • C.M. Fonseca and P.J. Fleming, Genetic algorithms for multiobjective optimization: formulation, discussion and generalization, Proceedings of the Fifth International Conference on Genetic Algorithms, 1993, Urbana-Champaign, IL, pp. 416-423.
    • (1993) Proceedings of the Fifth International Conference on Genetic Algorithms , pp. 416-423
    • Fonseca, C.M.1    Fleming, P.J.2
  • 15
    • 84893792941 scopus 로고
    • Monte Carlo methods for solving multivariable problems
    • J. Hammersley, Monte Carlo methods for solving multivariable problems, Proc. New York Acad. Sci. 86 (1960), pp. 844-874.
    • (1960) Proc. New York Acad. Sci , vol.86 , pp. 844-874
    • Hammersley, J.1
  • 21
    • 0033672706 scopus 로고    scopus 로고
    • E.M. Kasprzak and K.E. Lewis, An approach to facilitate decision tradeoffs in pareto solution sets, J. Eng. Valuat. Cost Anal. 3(1) (2000), pp. 173-187.
    • E.M. Kasprzak and K.E. Lewis, An approach to facilitate decision tradeoffs in pareto solution sets, J. Eng. Valuat. Cost Anal. 3(1) (2000), pp. 173-187.
  • 22
    • 41549157681 scopus 로고    scopus 로고
    • Integrating approximation and interactive decision making in multicriteria optimization
    • K. Klamroth and K. Miettinen, Integrating approximation and interactive decision making in multicriteria optimization, Oper. Res. 56 (2008), pp. 222-234.
    • (2008) Oper. Res , vol.56 , pp. 222-234
    • Klamroth, K.1    Miettinen, K.2
  • 23
    • 0026961938 scopus 로고
    • Multiple criteria decision support-A review
    • P. Korhonen, H. Moskowitz, and J. Wallenius, Multiple criteria decision support-A review, Eur. J. Oper. Res. 63(3) (1992), pp. 361-375.
    • (1992) Eur. J. Oper. Res , vol.63 , Issue.3 , pp. 361-375
    • Korhonen, P.1    Moskowitz, H.2    Wallenius, J.3
  • 24
    • 27144451406 scopus 로고    scopus 로고
    • GDE3: The third evolution step of generalized differential evolution
    • Edinburgh, Scotland
    • S. Kukkonen and J. Lampinen, GDE3: the third evolution step of generalized differential evolution, IEEE Congress on Evolutionary Computation, Edinburgh, Scotland, 2005, pp. 443-450.
    • (2005) IEEE Congress on Evolutionary Computation , pp. 443-450
    • Kukkonen, S.1    Lampinen, J.2
  • 26
    • 0032068407 scopus 로고    scopus 로고
    • A numerical model of a high performance two-stroke engine
    • J. van Leersum, A numerical model of a high performance two-stroke engine, Appl. Numer. Math. 27 (1998), pp. 83-108.
    • (1998) Appl. Numer. Math , vol.27 , pp. 83-108
    • van Leersum, J.1
  • 27
    • 0001482924 scopus 로고
    • Soviet multi-objective mathematical programming methods: An overview
    • E.R. Lieberman, Soviet multi-objective mathematical programming methods: an overview, Manage. Sci. 37(9) (1991), pp. 1147-1165.
    • (1991) Manage. Sci , vol.37 , Issue.9 , pp. 1147-1165
    • Lieberman, E.R.1
  • 28
    • 61349138581 scopus 로고    scopus 로고
    • J. McQueen, Some methods for classification and analysis of multivariate observations, in Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, L.M. Le Cam and J. Neyman, eds., Statistics, University of California Press, 1, 1967, pp. 281-297.
    • J. McQueen, Some methods for classification and analysis of multivariate observations, in Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, L.M. Le Cam and J. Neyman, eds., Statistics, University of California Press, Vol. 1, 1967, pp. 281-297.
  • 29
    • 2442535151 scopus 로고    scopus 로고
    • Survey of multi-objective optimization methods for engineering
    • R.T. Mailer and J.S. Arora, Survey of multi-objective optimization methods for engineering, Struct. Multidiscip. Optim. 26 (2004), pp. 369-395.
    • (2004) Struct. Multidiscip. Optim , vol.26 , pp. 369-395
    • Mailer, R.T.1    Arora, J.S.2
  • 30
    • 6344235466 scopus 로고    scopus 로고
    • Smart Pareto filter: Obtaining a minimal representation of multiobjective design space
    • C.A. Mattson, A.A. Mullur, and A. Messac, Smart Pareto filter: obtaining a minimal representation of multiobjective design space, Eng. Optim. 36(6) (2004), pp. 721-740.
    • (2004) Eng. Optim , vol.36 , Issue.6 , pp. 721-740
    • Mattson, C.A.1    Mullur, A.A.2    Messac, A.3
  • 32
    • 33750230265 scopus 로고    scopus 로고
    • Graphical illustration of pareto optimal solutions
    • T. Tanino, T. Tanaka, and M. Inuiguchi, eds, Springer, Berlin, Heidelberg
    • K. Miettinen, Graphical illustration of pareto optimal solutions, in Multi-Objective Programming and Goal Programming: Theory and Applications, T. Tanino, T. Tanaka, and M. Inuiguchi, eds., Springer, Berlin, Heidelberg, 2003, pp. 197-202.
    • (2003) Multi-Objective Programming and Goal Programming: Theory and Applications , pp. 197-202
    • Miettinen, K.1
  • 33
    • 59649105725 scopus 로고    scopus 로고
    • Using box indices in supporting comparison in multiobjective optimization
    • to appear, doi:10.1016/j.ejor.2008.05.013
    • K. Miettinen, J. Molina, M. González, A. Hernández- Díaz, and R. Caballero, Using box indices in supporting comparison in multiobjective optimization, Eur. J. Oper. Res., 2008, to appear, doi:10.1016/j.ejor.2008.05.013
    • (2008) Eur. J. Oper. Res
    • Miettinen, K.1    Molina, J.2    González, M.3    Hernández- Díaz, A.4    Caballero, R.5
  • 34
    • 0002096988 scopus 로고
    • Reducing the size of the nondominated set: Pruning by clustering
    • J.N. Morse, Reducing the size of the nondominated set: pruning by clustering, Comput. Oper. Res. 7(1-2) (1980), pp. 55-56.
    • (1980) Comput. Oper. Res , vol.7 , Issue.1-2 , pp. 55-56
    • Morse, J.N.1
  • 36
    • 0001642686 scopus 로고
    • Global optimization by controlled random search
    • W.L. Price, Global optimization by controlled random search, Comput. J. 20 (1977), pp. 367-370.
    • (1977) Comput. J , vol.20 , pp. 367-370
    • Price, W.L.1
  • 37
    • 0011374085 scopus 로고
    • Reducing the pareto optimal set in multicriteria optimization
    • M.A. Rosenman, and J.S. Gero, Reducing the pareto optimal set in multicriteria optimization, Eng. Optim. 8 (1985), pp. 189-206.
    • (1985) Eng. Optim , vol.8 , pp. 189-206
    • Rosenman, M.A.1    Gero, J.S.2
  • 38
    • 0023453329 scopus 로고
    • Silhouettes: A graphical aid to the interpretation and validation of cluster analysis
    • P.J. Rousseeuw, Silhouettes: A graphical aid to the interpretation and validation of cluster analysis, J. Comput. Appl. Math. 20 (1987), pp. 53-65.
    • (1987) J. Comput. Appl. Math , vol.20 , pp. 53-65
    • Rousseeuw, P.J.1
  • 39
    • 23844480435 scopus 로고    scopus 로고
    • Survey paper - approximation methods in multiobjective programming
    • S. Ruzika and M.M. Wiecek, Survey paper - approximation methods in multiobjective programming, J. Optim. Theory Appl. 126(3) (2005), pp. 473-501.
    • (2005) J. Optim. Theory Appl , vol.126 , Issue.3 , pp. 473-501
    • Ruzika, S.1    Wiecek, M.M.2
  • 41
    • 49349129696 scopus 로고
    • Uniformly distributed sequences with an additional uniform property
    • I. Sobol, Uniformly distributed sequences with an additional uniform property, USSR Comput. Math. Math. Phys. 16 (1977), pp. 236-242.
    • (1977) USSR Comput. Math. Math. Phys , vol.16 , pp. 236-242
    • Sobol, I.1
  • 42
    • 0002421645 scopus 로고
    • An efficient approach to multicriteria optimum design problems
    • I.M. Sobol, An efficient approach to multicriteria optimum design problems, Surv. Math. Ind. 1(4) (1992), pp. 259-281.
    • (1992) Surv. Math. Ind , vol.1 , Issue.4 , pp. 259-281
    • Sobol, I.M.1
  • 43
    • 0036782101 scopus 로고    scopus 로고
    • Convergence estimates for crude approximations of a Pareto set
    • I.M. Sobol and E.E. Myshetskaya, Convergence estimates for crude approximations of a Pareto set, Comput. Math. Appl. 44 (2002), pp. 877-886.
    • (2002) Comput. Math. Appl , vol.44 , pp. 877-886
    • Sobol, I.M.1    Myshetskaya, E.E.2
  • 44
    • 0000852513 scopus 로고
    • Multiobjective optimization using nondominated sorting in genetic algorithms
    • N. Srinivas and K. Deb, Multiobjective optimization using nondominated sorting in genetic algorithms, J. Evol. Comput. 2(3) (1994), pp. 221-248.
    • (1994) J. Evol. Comput , vol.2 , Issue.3 , pp. 221-248
    • Srinivas, N.1    Deb, K.2
  • 46
    • 0001648786 scopus 로고
    • The parameter space investigation method of multiple objective nonlinear programming: A computational investigation
    • R.E. Steuer and M. Sun, The parameter space investigation method of multiple objective nonlinear programming: a computational investigation, Oper. Res. 43(4) (1995), pp. 641-648.
    • (1995) Oper. Res , vol.43 , Issue.4 , pp. 641-648
    • Steuer, R.E.1    Sun, M.2
  • 47
    • 33750296960 scopus 로고    scopus 로고
    • Practical solutions for multi-objective optimization: An application to system reliability design problems
    • H.A. Taboada. F. Baheranwala, D.W. Coit, and N. Wattanapongsakorn, Practical solutions for multi-objective optimization: an application to system reliability design problems, Reliab. Eng. Syst. Saf. 92 (2007), pp. 314-322.
    • (2007) Reliab. Eng. Syst. Saf , vol.92 , pp. 314-322
    • Taboada, H.A.1    Baheranwala, F.2    Coit, D.W.3    Wattanapongsakorn, N.4
  • 50
    • 61349124574 scopus 로고    scopus 로고
    • Data clustering of solutions for multiple objective system reliability optimization problems
    • H.A. Taboada and D.W. Coit, Data clustering of solutions for multiple objective system reliability optimization problems, Qual. Tech. Quant. Manage. 4(2) (2007), pp. 191-210.
    • (2007) Qual. Tech. Quant. Manage , vol.4 , Issue.2 , pp. 191-210
    • Taboada, H.A.1    Coit, D.W.2
  • 51
    • 3142727042 scopus 로고    scopus 로고
    • A post-optimality analysis algorithm for multi-objective optimization
    • V. Venkat, S.H. Jacobson, and J.A. Stori, A post-optimality analysis algorithm for multi-objective optimization, Comput. Optim. Appl. 28 (2004), pp. 357-372.
    • (2004) Comput. Optim. Appl , vol.28 , pp. 357-372
    • Venkat, V.1    Jacobson, S.H.2    Stori, J.A.3
  • 53
    • 0000281286 scopus 로고
    • Sur le point pour iequel la somme des distances de n points donnés est minimum
    • E. Weiszfeld, Sur le point pour iequel la somme des distances de n points donnés est minimum, Tôhoku Math. J. 43 (1937), pp. 355-386.
    • (1937) Tôhoku Math. J , vol.43 , pp. 355-386
    • Weiszfeld, E.1
  • 54
    • 0000417016 scopus 로고
    • The use of reference objectives in multiobjective optimization
    • G. Fandel and T. Gal, eds, Springer, Berlin
    • A.P. Wierzbicki, The use of reference objectives in multiobjective optimization, in Multiple Objective Decision Making, Theory and Application, G. Fandel and T. Gal, eds., Springer, Berlin, 1980, pp. 468-486.
    • (1980) Multiple Objective Decision Making, Theory and Application , pp. 468-486
    • Wierzbicki, A.P.1
  • 55
    • 61349092641 scopus 로고    scopus 로고
    • homepage, 2007; software available at
    • I. Williams, Ian Williams tuning homepage, 2007; software available at http://www.iwt.com.au/index2.html.
    • Ian Williams tuning
    • Williams, I.1
  • 56
  • 57
    • 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), pp. 173-195.
    • (2000) Evol. Comput , vol.8 , Issue.2 , pp. 173-195
    • Zitzler, E.1    Deb, K.2    Thiele, L.3
  • 58
    • 1642474729 scopus 로고    scopus 로고
    • SPEA2: Improving the strength pareto evolutionary algorithm
    • Swiss Federal Institute of Technology (ETH) Zurich
    • E. Zitzler, M. Laumanns, and L. Thiele, SPEA2: improving the strength pareto evolutionary algorithm, TIK-Report 103, Swiss Federal Institute of Technology (ETH) Zurich, 2001.
    • (2001) TIK-Report , vol.103
    • Zitzler, E.1    Laumanns, M.2    Thiele, L.3
  • 59
    • 0033318858 scopus 로고    scopus 로고
    • Multiobjective evolutionary algorithms: A comparative case study and the strength pareto approach
    • E. Zitzler and L. Thiele, Multiobjective evolutionary algorithms: a comparative case study and the strength pareto approach. IEEE Trans. Evol. Comput. 3(4) (1999), pp. 257-271.
    • (1999) IEEE Trans. Evol. Comput , vol.3 , Issue.4 , pp. 257-271
    • Zitzler, E.1    Thiele, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.