메뉴 건너뛰기




Volumn 21, Issue 2, 2001, Pages 185-199

A convexification method for a class of global optimization problems with applications to reliability optimization

Author keywords

Concave minimization; Convexification method; Global optimization; Monotone optimization; Reliability optimization

Indexed keywords


EID: 0035473186     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011962605464     Document Type: Article
Times cited : (33)

References (18)
  • 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 survey
    • Benson, H. P. (1996), Deterministic algorithm for constrained concave minimization: A unified critical survey, Naval Res. Logist. 43, 765-795.
    • (1996) Naval Res. Logist. , vol.43 , pp. 765-795
    • Benson, H.P.1
  • 3
    • 0000390120 scopus 로고
    • Taboo search: An approach to the multiple minima problem
    • Cvijović, D. and Klinowski, J. (1995), Taboo search: An approach to the multiple minima problem, Science 267, 664-666.
    • (1995) Science , vol.267 , pp. 664-666
    • Cvijović, D.1    Klinowski, J.2
  • 4
    • 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
  • 5
    • 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, 22-32.
    • (1981) Math. Program. , vol.20 , pp. 22-32
    • Hoffman, K.L.A.1
  • 6
    • 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
  • 8
    • 0002935896 scopus 로고
    • The tunneling algorithm for the global minimization of functions
    • Levy, A. V. and Montalvo, A. (1985), The tunneling algorithm for the global minimization of functions, 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
  • 9
    • 21844506739 scopus 로고
    • Zero duality gap for a class of nonconvex optimization problems
    • Li, D. (1995), Zero duality gap for a class of nonconvex optimization problems, Journal of Optimization Theory and Applications 85, 309-324.
    • (1995) Journal of Optimization Theory and Applications , vol.85 , pp. 309-324
    • Li, D.1
  • 11
    • 0034349450 scopus 로고    scopus 로고
    • Local convexification of Lagrangian function in nonconvex optimization
    • Li, D. and Sun, X. L. (2000), Local convexification of Lagrangian function in nonconvex optimization, Journal of Optimization Theory and Applications 104, 109-120.
    • (2000) Journal of Optimization Theory and Applications , vol.104 , pp. 109-120
    • Li, D.1    Sun, X.L.2
  • 12
    • 0035565699 scopus 로고    scopus 로고
    • Convexification, concavification and montonization in global optimization
    • to appear
    • Li, D., Sun, X. L., Biswal, M. P. and Gao, F. (2001), Convexification, concavification and montonization in global optimization, to appear in Annals of Operations Research.
    • (2001) Annals of Operations Research
    • Li, D.1    Sun, X.L.2    Biswal, M.P.3    Gao, F.4
  • 13
    • 0026139518 scopus 로고
    • An efficient algorithm to solve integer-programming problems arising in system-reliability design
    • Misra, K. B. and Sharma, U. (1991), An efficient algorithm to solve integer-programming problems arising in system-reliability design, IEEE Trans. Reliab. 40, 81-91.
    • (1991) IEEE Trans. Reliab. , vol.40 , pp. 81-91
    • Misra, K.B.1    Sharma, U.2
  • 15
    • 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
  • 16
    • 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
  • 18
    • 0019004150 scopus 로고
    • Optimization of system reliability: A survey of problems and techniques
    • Tzafestas, S. G. (1980), Optimization of system reliability: A survey of problems and techniques, Int. J. Systems Sci. 11, 455-486.
    • (1980) Int. J. Systems Sci. , vol.11 , pp. 455-486
    • Tzafestas, S.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.