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Volumn 39, Issue 4, 2007, Pages 495-507

A filled function method for constrained global optimization

Author keywords

Constrained global optimization; Filled function; Filled function method

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL EFFICIENCY; CONSTRAINED OPTIMIZATION; FUNCTION EVALUATION; PROBLEM SOLVING;

EID: 35948967251     PISSN: 09255001     EISSN: 15732916     Source Type: Journal    
DOI: 10.1007/s10898-007-9152-2     Document Type: Article
Times cited : (40)

References (22)
  • 1
    • 0030921134 scopus 로고    scopus 로고
    • TRUST: A deterministic algorithm for global optimization
    • Barhen J., Protopopescu V. and Reister D. (1997). TRUST: A deterministic algorithm for global optimization. Science 276: 1094-1097
    • (1997) Science , vol.276 , pp. 1094-1097
    • Barhen, J.1    Protopopescu, V.2    Reister, D.3
  • 2
    • 0030242902 scopus 로고    scopus 로고
    • Deterministic algorithm for constrained concave minimization: A unified critical surver
    • Benson H.P. (1996). Deterministic algorithm for constrained concave minimization: a unified critical surver. Naval Res. Logist. 43: 765-795
    • (1996) Naval Res. Logist. , vol.43 , pp. 765-795
    • Benson, H.P.1
  • 5
    • 0025385326 scopus 로고
    • A filled function method for finding a global minimizer of a function of several variables
    • Ge R. (1990). A filled function method for finding a global minimizer of a function of several variables. Math. Program. 46: 191-204
    • (1990) Math. Program. , vol.46 , pp. 191-204
    • Ge, R.1
  • 6
    • 0000548518 scopus 로고
    • The globally convexized filled functions for global optimization
    • Ge R. (1990). The globally convexized filled functions for global optimization. Appl. Math. Comput. 35: 131-158
    • (1990) Appl. Math. Comput. , vol.35 , pp. 131-158
    • Ge, R.1
  • 7
    • 0007225736 scopus 로고
    • A method for globally minimizing concave functions over convex set
    • Hoffman K.L.A. (1981). A method for globally minimizing concave functions over convex set. Math. Program. 20: 22-23
    • (1981) Math. Program. , vol.20 , pp. 22-23
    • Hoffman, K.L.A.1
  • 8
    • 84989685254 scopus 로고
    • Deterministic methods in constrained global optimization: Some recent advances and new fields of application
    • Horst R. (1990). Deterministic methods in constrained global optimization: some recent advances and new fields of application. Naval Res. Logist. 37: 433-471
    • (1990) Naval Res. Logist. , vol.37 , pp. 433-471
    • Horst, R.1
  • 9
    • 0348003093 scopus 로고    scopus 로고
    • Global optimization techniques for mixed complementarity problems
    • Kanzow C. (2000). Global optimization techniques for mixed complementarity problems. J. Glob. Optim. 16: 1-21
    • (2000) J. Glob. Optim. , vol.16 , pp. 1-21
    • Kanzow, C.1
  • 10
    • 0002935896 scopus 로고
    • The tunneling algorithm for the global minimization of function
    • Levy A.V. and Montalvo A. (1985). The tunneling algorithm for the global minimization of function. SIAM J. Sci. Stat. Comput. 6: 15-27
    • (1985) SIAM J. Sci. Stat. Comput. , vol.6 , pp. 15-27
    • Levy, A.V.1    Montalvo, A.2
  • 11
    • 0347608431 scopus 로고    scopus 로고
    • Finding global minimia with a computable filled function
    • Liu X. (2001). Finding global minimia with a computable filled function. J. Glob. Optim. 19: 151-161
    • (2001) J. Glob. Optim. , vol.19 , pp. 151-161
    • Liu, X.1
  • 12
    • 31244437428 scopus 로고    scopus 로고
    • New classes of globally convexized filled functions for global optimization
    • Lucidi S. and Piccialli V. (2002). New classes of globally convexized filled functions for global optimization. J. Glob. Optim. 24: 219-236
    • (2002) J. Glob. Optim. , vol.24 , pp. 219-236
    • Lucidi, S.1    Piccialli, V.2
  • 14
    • 0023420912 scopus 로고
    • Stochastic global optimization methods, part I: Clustering methods
    • Rinnoy Kan A.H.G. and Timmer G.T. (1987). Stochastic global optimization methods, part I: clustering methods. Math. Program. 39: 27-56
    • (1987) Math. Program. , vol.39 , pp. 27-56
    • Rinnoy Kan, A.H.G.1    Timmer, G.T.2
  • 15
    • 0023419959 scopus 로고
    • Stochastic global optimization methods, part II: Multi-level methods
    • Rinnoy Kan A.H.G. and Timmer G.T. (1987). Stochastic global optimization methods, part II: multi-level methods. Math. Program. 39: 57-78
    • (1987) Math. Program. , vol.39 , pp. 57-78
    • Rinnoy Kan, A.H.G.1    Timmer, G.T.2
  • 16
    • 0033177318 scopus 로고    scopus 로고
    • Value-estimation function method for constrained global optimization
    • Sun X.L. and Li D. (1999). Value-estimation function method for constrained global optimization. J. Optim. Theory Appl. 102: 385-409
    • (1999) J. Optim. Theory Appl. , vol.102 , pp. 385-409
    • Sun, X.L.1    Li, D.2
  • 18
    • 33745169012 scopus 로고    scopus 로고
    • A novel filled function method and quasi-filled function method for global optimization
    • 2
    • Wu Z.Y., Lee H.W.J., Zhang L.S. and Yang X.M. (2005). A novel filled function method and quasi-filled function method for global optimization. Comput. Optim. Appl. 34(2): 249-272
    • (2005) Comput. Optim. Appl. , vol.34 , pp. 249-272
    • Wu, Z.Y.1    Lee, H.W.J.2    Zhang, L.S.3    Yang, X.M.4
  • 19
    • 0035331481 scopus 로고    scopus 로고
    • Filled functions for unconstrained global optimization
    • Xu Z., Huang H.X. and Pardalos P. (2001). Filled functions for unconstrained global optimization. J. Glob. Optim. 20: 49-65
    • (2001) J. Glob. Optim. , vol.20 , pp. 49-65
    • Xu, Z.1    Huang, H.X.2    Pardalos, P.3
  • 20
    • 0942277398 scopus 로고    scopus 로고
    • A new filled function method for global optimization
    • Zhang L.S., NG C.K., Li D. and Tian W.W. (2004). A new filled function method for global optimization. J. Glob. Optim. 28: 17-43
    • (2004) J. Glob. Optim. , vol.28 , pp. 17-43
    • Zhang, L.S.1    Ng, C.K.2    Li, D.3    Tian, W.W.4
  • 21
    • 27144539467 scopus 로고    scopus 로고
    • A class of filled functions for box constrained continuous global optimization
    • 1
    • Zhu W.X. (2005). A class of filled functions for box constrained continuous global optimization. Appl. Math. Comput 169(1): 129-145
    • (2005) Appl. Math. Comput , vol.169 , pp. 129-145
    • Zhu, W.X.1
  • 22
    • 33745588538 scopus 로고    scopus 로고
    • Globally concavized filled function method for the box constrained continuous global minimization problem
    • 4
    • Zhu W.X. (2006). Globally concavized filled function method for the box constrained continuous global minimization problem. Optim. Methods Softw. 21(4): 653-666
    • (2006) Optim. Methods Softw. , vol.21 , pp. 653-666
    • Zhu, W.X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.