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Volumn 20, Issue 2, 2009, Pages 915-934

A successive approach to compute the bounded Pareto front of practical multiobjective optimization problems

Author keywords

Analog circuits; Multicriteria; Multiobjective; Optimization; Pareto front

Indexed keywords

ANALOG CIRCUIT SIZING; DESIGN OBJECTIVES; MULTI-CRITERIA; MULTI-OBJECTIVE OPTIMIZATION PROBLEM; PARETO FRONT; PARETO OPTIMAL SOLUTIONS; PARETO OPTIMIZATION; SUBOPTIMAL SOLUTION; TECHNICAL APPLICATIONS; WORK FOCUS;

EID: 70450173608     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/080729013     Document Type: Article
Times cited : (117)

References (26)
  • 1
    • 0000626184 scopus 로고    scopus 로고
    • An updated survey of GA-based multiobjective optimization techniques
    • C. A. C. COELLO, An updated survey of GA-based multiobjective optimization techniques, ACM Computing Surveys, 32 (2000), pp. 109-143.
    • (2000) ACM Computing Surveys , vol.32 , pp. 109-143
    • Coello, C.A.C.1
  • 2
    • 0033208104 scopus 로고    scopus 로고
    • On characterizing the 'knee' of the Pareto curve based on normal-boundary intersection
    • I. DAS, On characterizing the 'knee' of the Pareto curve based on normal-boundary intersection, Structural Optimization, 18 (1998), pp. 107-115.
    • (1998) Structural Optimization , vol.18 , pp. 107-115
    • Das, I.1
  • 3
    • 0031212567 scopus 로고    scopus 로고
    • A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems
    • I. DAS AND J. DENNIS, A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems, Structural Optimization, 14 (1997), pp. 63-69.
    • (1997) Structural Optimization , vol.14 , pp. 63-69
    • Das, I.1    Dennis, J.2
  • 4
    • 0032348480 scopus 로고    scopus 로고
    • Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems
    • I. DAS AND J. E. DENNIS, Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems, SIAM J. Optim., 8 (1998), pp. 631-657.
    • (1998) SIAM J. Optim. , vol.8 , pp. 631-657
    • Das, I.1    Dennis, J.E.2
  • 5
    • 22144488449 scopus 로고    scopus 로고
    • Sparse nonnegative solution of underdetermined linear equations by linear programming
    • D. L. DONOHO AND J. TANNER, Sparse nonnegative solution of underdetermined linear equations by linear programming, Proc. Nat. Acad. Sci. USA 102, (2005), pp. 9446-9451.
    • (2005) Proc. Nat. Acad. Sci. USA , vol.102 , pp. 9446-9451
    • Donoho, D.L.1    Tanner, J.2
  • 6
    • 0036610011 scopus 로고    scopus 로고
    • On the number of criteria needed to decide Pareto optimality
    • M. EHRGOTT AND S. NICKEL, On the number of criteria needed to decide Pareto optimality, Math. Methods Oper. Res., 55 (2002), pp. 329-345.
    • (2002) Math. Methods Oper. Res. , vol.55 , pp. 329-345
    • Ehrgott, M.1    Nickel, S.2
  • 8
    • 0003137149 scopus 로고
    • The computational algorithm for the parametric objective function
    • S. GASS AND T. L. SAATY, The computational algorithm for the parametric objective function, Naval Res. Logist. Quart., 2 (1955), pp. 39-45.
    • (1955) Naval Res. Logist. Quart. , vol.2 , pp. 39-45
    • Gass, S.1    Saaty, T.L.2
  • 9
    • 0001442712 scopus 로고
    • Approach to performance and sensitivity multiobjective optimization: The goal attainment method
    • F. W. GEMBICKI AND Y. Y. HAIMES, Approach to performance and sensitivity multiobjective optimization: The goal attainment method, IEEE Trans. Automat. Control, 20 (1975), pp. 769-771.
    • (1975) IEEE Trans. Automat. Control , vol.20 , pp. 769-771
    • Gembicki, F.W.1    Haimes, Y.Y.2
  • 10
    • 55049086609 scopus 로고    scopus 로고
    • Exact and approximate sparse solutions of underdetermined linear equations
    • S. JOKAR AND M. E. PFETSCH, Exact and approximate sparse solutions of underdetermined linear equations, SIAM J. Sci. Comput., 31 (2008), pp. 23-44.
    • (2008) SIAM J. Sci. Comput. , vol.31 , pp. 23-44
    • Jokar, S.1    Pfetsch, M.E.2
  • 11
    • 0019541762 scopus 로고
    • Multiple criterion optimization for the design of electronic circuits
    • M. R. LIGHTNER AND S. W. DIRECTOR, Multiple criterion optimization for the design of electronic circuits, IEEE Trans. Circuits and Systems, 28 (1981), pp. 169-179.
    • (1981) IEEE Trans. Circuits and Systems , vol.28 , pp. 169-179
    • Lightner, M.R.1    Director, S.W.2
  • 12
    • 17444429941 scopus 로고    scopus 로고
    • On min-norm and min-max methods of multi-objective optimization
    • J. G. LIN, On min-norm and min-max methods of multi-objective optimization, Math. Program., 103 (2005), pp. 1-33.
    • (2005) Math. Program. , vol.103 , pp. 1-33
    • Lin, J.G.1
  • 13
    • 2442535151 scopus 로고    scopus 로고
    • Survey of multi-objective optimization methods for engineering
    • R. T. MARLER AND J. S. ARORA, Survey of multi-objective optimization methods for engineering, Struct. Multidiscipl. Optim., 26 (2004), pp. 369-395.
    • (2004) Struct. Multidiscipl. Optim. , vol.26 , pp. 369-395
    • Marler, R.T.1    Arora, J.S.2
  • 14
    • 0041969992 scopus 로고    scopus 로고
    • The normalized normal constraint method for generating the Pareto frontier
    • A. MESSAC, A. ISMAIL-YAHAYA, AND C. A. MATTSON, The normalized normal constraint method for generating the Pareto frontier, Struct. Multidiscip. Optim., 25 (2003), pp. 86-98.
    • (2003) Struct. Multidiscip. Optim. , vol.25 , pp. 86-98
    • Messac, A.1    Ismail-Yahaya, A.2    Mattson, C.A.3
  • 15
    • 7044260540 scopus 로고    scopus 로고
    • Normal constraint method with guarantee of even representation of complete Pareto frontier
    • A. MESSAC AND C. A. MATTSON, Normal constraint method with guarantee of even representation of complete Pareto frontier, AIAA J., 42 (2004), pp. 2101-2111.
    • (2004) AIAA J. , vol.42 , pp. 2101-2111
    • Messac, A.1    Mattson, C.A.2
  • 16
    • 0003462074 scopus 로고    scopus 로고
    • 4th ed., in International Series in Operations Research and Management Science, Kluwer Academic Publishers, Norwell, MA
    • K. M. MIETTINEN, Nonlinear Multiobjective Optimization, 4th ed., in International Series in Operations Research and Management Science, Kluwer Academic Publishers, Norwell, MA, 2004.
    • (2004) Nonlinear Multiobjective Optimization
    • Miettinen, K.M.1
  • 19
    • 0035401160 scopus 로고    scopus 로고
    • Comments on properties of the minmax solutions in goal programming
    • W. OGRYCZAK, Comments on properties of the minmax solutions in goal programming, European J. Oper. Res., 132 (2001), pp. 17-21.
    • (2001) European J. Oper. Res. , vol.132 , pp. 17-21
    • Ogryczak, W.1
  • 21
    • 0012932582 scopus 로고    scopus 로고
    • Measuring the quality of discrete representations of efficient sets in multiple objective mathematical programming
    • S. SAYIN, Measuring the quality of discrete representations of efficient sets in multiple objective mathematical programming, Math. Program., 87 (2000), pp. 543-560.
    • (2000) Math. Program. , vol.87 , pp. 543-560
    • Sayin, S.1
  • 22
    • 34748832784 scopus 로고    scopus 로고
    • Analog performance space exploration by normalboundary intersection and by Fourier-Motzkin elimination
    • G. STEHR, H. GRAEB, AND K. ANTREICH, Analog performance space exploration by normalboundary intersection and by Fourier-Motzkin elimination, IEEE Trans. CAD of Integrated Circuits and Systems, 26 (2007), pp. 1733-1748.
    • (2007) IEEE Trans. CAD of Integrated Circuits and Systems , vol.26 , pp. 1733-1748
    • Stehr, G.1    Graeb, H.2    Antreich, K.3
  • 24
    • 0020802768 scopus 로고
    • An interactive weighted Tchebycheff procedure for multiple objective programming
    • R. E. STEUER AND E.-U. CHOO, An interactive weighted Tchebycheff procedure for multiple objective programming, Math. Programming, 26 (1983), pp. 326-344.
    • (1983) Math. Programming , vol.26 , pp. 326-344
    • Steuer, R.E.1    Choo, E.-U.2
  • 26
    • 84939004610 scopus 로고
    • Optimality and non-scalar-valued performance criteria
    • L. ZADEH., Optimality and non-scalar-valued performance criteria, IEEE Trans. Automat. Control, 8 (1963), pp. 59-60.
    • (1963) IEEE Trans. Automat. Control , vol.8 , pp. 59-60
    • Zadeh, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.