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Volumn 22, Issue 2, 2007, Pages 97-118

A new uncertain optimization method based on intervals and an approximation management model

Author keywords

Approximation model; Interval; Possibility degree of interval; Trust region; Uncertain optimization

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; MATHEMATICAL MODELS; NONLINEAR PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING;

EID: 36448949442     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (30)

References (37)
  • 1
    • 25144448823 scopus 로고    scopus 로고
    • Cutting plane method for multiple objective stochastic inte-ger linear programming
    • Abbas, M.; Bellahcene, F. (2006): Cutting plane method for multiple objective stochastic inte-ger linear programming, Eur. J. Oper. Res., 168(3):967-984.
    • (2006) Eur. J. Oper. Res , vol.168 , Issue.3 , pp. 967-984
    • Abbas, M.1    Bellahcene, F.2
  • 4
    • 0002395681 scopus 로고
    • Chance-constrained programming
    • Charnes, A.; Cooper, W.W. (1959): Chance-constrained programming, Manage. Sci., 6:73-79.
    • (1959) Manage. Sci , vol.6 , pp. 73-79
    • Charnes, A.1    Cooper, W.W.2
  • 6
    • 33749856037 scopus 로고    scopus 로고
    • Analysis and optimization of dynamically loaded reinforced plates by the coupled boundary and finite element method
    • Fedelinski, P.; Gorski, R. (2006): Analysis and optimization of dynamically loaded reinforced plates by the coupled boundary and finite element method, CMES: Computer Modeling in Engineering & Sciences, 15(1):31-40.
    • (2006) CMES: Computer Modeling in Engineering & Sciences , vol.15 , Issue.1 , pp. 31-40
    • Fedelinski, P.1    Gorski, R.2
  • 7
    • 14844345345 scopus 로고    scopus 로고
    • Log-barrier method for two-stage quadratic stochastic programming
    • Gyeong-Mi, C. (2005): Log-barrier method for two-stage quadratic stochastic programming, Appl. Math. Comput., 164(1):45-69.
    • (2005) Appl. Math. Comput , vol.164 , Issue.1 , pp. 45-69
    • Gyeong-Mi, C.1
  • 9
    • 0025480980 scopus 로고
    • Multiobjective programming in optimization of the interval objective function
    • Ishibuchi, H.; Tanaka, H. (1990): Multiobjective programming in optimization of the interval objective function, Eur. J. Oper. Res., 48:219-225.
    • (1990) Eur. J. Oper. Res , vol.48 , pp. 219-225
    • Ishibuchi, H.1    Tanaka, H.2
  • 10
    • 37449003041 scopus 로고    scopus 로고
    • A nonlinear interval number programming method for uncertain optimization problems
    • doi:10.1016/j.ejor.2007.03.031
    • Jiang, C.; Han, X.; Liu, G.R. (2007a): A nonlinear interval number programming method for uncertain optimization problems, Eur. J. Oper. Res., doi:10.1016/j.ejor.2007.03.031.
    • (2007) Eur. J. Oper. Res
    • Jiang, C.1    Han, X.2    Liu, G.R.3
  • 11
    • 33751085148 scopus 로고    scopus 로고
    • The optimization of the variable binder force in U-shaped forming with uncertain friction coefficient
    • Jiang, C.; Han, X.; Liu, G.R.; Li, G.Y. (2007b): The optimization of the variable binder force in U-shaped forming with uncertain friction coefficient, J. Mater. Process. Tech., 182:262-267.
    • (2007) J. Mater. Process. Tech , vol.182 , pp. 262-267
    • Jiang, C.1    Han, X.2    Liu, G.R.3    Li, G.Y.4
  • 12
    • 35448998760 scopus 로고    scopus 로고
    • An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method
    • Doi:10.1016/j.engstruct.2007. 01.020
    • Jiang, C.; Han, X.; Guan, F.J.; Li, Y.H. (2007c): An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method, Eng. Struct., Doi:10.1016/j.engstruct.2007. 01.020.
    • (2007) Eng. Struct
    • Jiang, C.1    Han, X.2    Guan, F.J.3    Li, Y.H.4
  • 13
    • 34548800730 scopus 로고    scopus 로고
    • Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval
    • Doi:10.1016/j.cma.2007.03.024
    • Jiang, C.; Han, X.; Liu, G.R. (2007d): Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval, Comput. Method. Appl. M., Doi:10.1016/j.cma.2007.03.024.
    • (2007) Comput. Method. Appl. M
    • Jiang, C.1    Han, X.2    Liu, G.R.3
  • 14
    • 36448935254 scopus 로고    scopus 로고
    • A nonlinear interval number programming method for uncertain structures based on an approximation management framework
    • submitted
    • Jiang, C.; Han, X.; Liu, G.P. (2007e): A nonlinear interval number programming method for uncertain structures based on an approximation management framework, submitted.
    • (2007)
    • Jiang, C.1    Han, X.2    Liu, G.P.3
  • 15
    • 0020143193 scopus 로고
    • Stochastic programming
    • Kail, P. (1982): Stochastic programming, Eur. J. Oper. Res., 10, 125-130.
    • (1982) Eur. J. Oper. Res , vol.10 , pp. 125-130
    • Kail, P.1
  • 16
    • 0036814862 scopus 로고    scopus 로고
    • Crashworthiness design optimization using successive response surface approximations
    • Kurtaran, H.; Eskandarian, A.; Marzougui, D.; Bedewi, N.E. (2002): Crashworthiness design optimization using successive response surface approximations, Comput. Mech., 29:409-421.
    • (2002) Comput. Mech , vol.29 , pp. 409-421
    • Kurtaran, H.1    Eskandarian, A.2    Marzougui, D.3    Bedewi, N.E.4
  • 17
    • 34249297930 scopus 로고    scopus 로고
    • Weight optimization of skeletal structures with multipoint simulated annealing
    • Lamberti, L.; Pappalettere, C. (2007): Weight optimization of skeletal structures with multipoint simulated annealing, CMES: Computer Modeling in Engineering & Sciences, 18(3):183-221.
    • (2007) CMES: Computer Modeling in Engineering & Sciences , vol.18 , Issue.3 , pp. 183-221
    • Lamberti, L.1    Pappalettere, C.2
  • 19
    • 0031199598 scopus 로고    scopus 로고
    • Modelling stochastic decision systems using dependent-chance programming
    • Liu, B.; Iwamura, K. (1997): Modelling stochastic decision systems using dependent-chance programming, Eur. J. Oper. Res., 101(1):193-203.
    • (1997) Eur. J. Oper. Res , vol.101 , Issue.1 , pp. 193-203
    • Liu, B.1    Iwamura, K.2
  • 21
    • 3442890667 scopus 로고    scopus 로고
    • A satisfactory solution for interval number linear programming
    • China
    • Liu, X.W.; Da, Q.L. (1999): A satisfactory solution for interval number linear programming, Journal of Systems Engineering, 14:123-128, China.
    • (1999) Journal of Systems Engineering , vol.14 , pp. 123-128
    • Liu, X.W.1    Da, Q.L.2
  • 23
    • 1842695109 scopus 로고    scopus 로고
    • A real-coded hybrid genetic algorithm to determine optimal resin injection locations in the resin transfer molding process
    • Mathur, R.; Advani, S.G.; Fink, B.K. (2003): A real-coded hybrid genetic algorithm to determine optimal resin injection locations in the resin transfer molding process, CMES: Computer Modeling in Engineering & Sciences, 4(5):587-601.
    • (2003) CMES: Computer Modeling in Engineering & Sciences , vol.4 , Issue.5 , pp. 587-601
    • Mathur, R.1    Advani, S.G.2    Fink, B.K.3
  • 24
    • 0018468345 scopus 로고
    • A comparison of three methods for selecting values of input variables in the analysis of output from a computer code
    • McKay, M.D.; Bechman, R.J.; Conover, W.J. (1979): A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics, 21(2):439-452.
    • (1979) Technometrics , vol.21 , Issue.2 , pp. 439-452
    • McKay, M.D.1    Bechman, R.J.2    Conover, W.J.3
  • 26
    • 0035418078 scopus 로고    scopus 로고
    • Sequential approximate optimization using variable fidelity response surface approximations
    • Rodriguez, J.F.; Perez, V.M.; Padmanabhan, D.; Renaud, J.E. (2001): Sequential approximate optimization using variable fidelity response surface approximations, Struct. Multidisc. Optim., 22:24-34.
    • (2001) Struct. Multidisc. Optim , vol.22 , pp. 24-34
    • Rodriguez, J.F.1    Perez, V.M.2    Padmanabhan, D.3    Renaud, J.E.4
  • 27
    • 0032089505 scopus 로고    scopus 로고
    • Convergence of trust region augmented Lagrangian methods using variable fidelity approximation data
    • Rodriguez, J.F.; Renaud, J.E. (1998): Convergence of trust region augmented Lagrangian methods using variable fidelity approximation data, Structural Optimization, 15:141-156.
    • (1998) Structural Optimization , vol.15 , pp. 141-156
    • Rodriguez, J.F.1    Renaud, J.E.2
  • 28
    • 0034545072 scopus 로고    scopus 로고
    • Trust region model management in multidisciplinary design optimization
    • Rodriguez, J.F.; Renaud, J.E.; Wujek, B.A.; Tappeta, R.V. (2000): Trust region model management in multidisciplinary design optimization, J. Comput. Appl. Math., 124:139-154.
    • (2000) J. Comput. Appl. Math , vol.124 , pp. 139-154
    • Rodriguez, J.F.1    Renaud, J.E.2    Wujek, B.A.3    Tappeta, R.V.4
  • 29
    • 0002603854 scopus 로고
    • Linear programming with fuzzy objective
    • Rommelfanger, H. (1989): Linear programming with fuzzy objective. Fuzzy set. Syst., 29:31-48.
    • (1989) Fuzzy set. Syst , vol.29 , pp. 31-48
    • Rommelfanger, H.1
  • 31
    • 0035314162 scopus 로고    scopus 로고
    • Interpretation of inequality constraints involving interval coefficients and a solution to interval linear programming
    • Sengupta, A.; Pal, T.K.; Chakraborty, D. (2001): Interpretation of inequality constraints involving interval coefficients and a solution to interval linear programming, Fuzzy set. Syst., 119:129-138.
    • (2001) Fuzzy set. Syst , vol.119 , pp. 129-138
    • Sengupta, A.1    Pal, T.K.2    Chakraborty, D.3
  • 32
    • 0037409709 scopus 로고    scopus 로고
    • Optimal orthogonal-array-based latin hypercubes
    • Stephen, L.; Bhaskar, A.; Keane, A. (2003): Optimal orthogonal-array-based latin hypercubes, J. Appl. Stat., 30(5):585-598.
    • (2003) J. Appl. Stat , vol.30 , Issue.5 , pp. 585-598
    • Stephen, L.1    Bhaskar, A.2    Keane, A.3
  • 35
    • 0028513509 scopus 로고
    • Interval number and fuzzy number linear programming
    • Tong, S.C. (1994): Interval number and fuzzy number linear programming, Fuzzy set. Syst., 66:301-306.
    • (1994) Fuzzy set. Syst , vol.66 , pp. 301-306
    • Tong, S.C.1
  • 37
    • 0011636661 scopus 로고    scopus 로고
    • A ranking approach for interval numbers in uncertain multiple attribute decision making problems
    • China
    • Zhang, Q.; Fan, Z.P.; Pan, D.H. (1999): A ranking approach for interval numbers in uncertain multiple attribute decision making problems, Systems Engineering - Theory & Practice, 5:129-133, China.
    • (1999) Systems Engineering - Theory & Practice , vol.5 , pp. 129-133
    • Zhang, Q.1    Fan, Z.P.2    Pan, D.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.